\(\int (d+e x)^m (a+b x+c x^2)^4 \, dx\) [2549]

Optimal result

Integrand size = 20, antiderivative size = 485 \[ \int (d+e x)^m \left (a+b x+c x^2\right )^4 \, dx=\frac {\left (c d^2-b d e+a e^2\right )^4 (d+e x)^{1+m}}{e^9 (1+m)}-\frac {4 (2 c d-b e) \left (c d^2-b d e+a e^2\right )^3 (d+e x)^{2+m}}{e^9 (2+m)}+\frac {2 \left (c d^2-b d e+a e^2\right )^2 \left (14 c^2 d^2+3 b^2 e^2-2 c e (7 b d-a e)\right ) (d+e x)^{3+m}}{e^9 (3+m)}-\frac {4 (2 c d-b e) \left (c d^2-b d e+a e^2\right ) \left (7 c^2 d^2+b^2 e^2-c e (7 b d-3 a e)\right ) (d+e x)^{4+m}}{e^9 (4+m)}+\frac {\left (70 c^4 d^4+b^4 e^4-4 b^2 c e^3 (5 b d-3 a e)-20 c^3 d^2 e (7 b d-3 a e)+6 c^2 e^2 \left (15 b^2 d^2-10 a b d e+a^2 e^2\right )\right ) (d+e x)^{5+m}}{e^9 (5+m)}-\frac {4 c (2 c d-b e) \left (7 c^2 d^2+b^2 e^2-c e (7 b d-3 a e)\right ) (d+e x)^{6+m}}{e^9 (6+m)}+\frac {2 c^2 \left (14 c^2 d^2+3 b^2 e^2-2 c e (7 b d-a e)\right ) (d+e x)^{7+m}}{e^9 (7+m)}-\frac {4 c^3 (2 c d-b e) (d+e x)^{8+m}}{e^9 (8+m)}+\frac {c^4 (d+e x)^{9+m}}{e^9 (9+m)} \]

[Out]

(a*e^2-b*d*e+c*d^2)^4*(e*x+d)^(1+m)/e^9/(1+m)-4*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^3*(e*x+d)^(2+m)/e^9/(2+m)+2*(
a*e^2-b*d*e+c*d^2)^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))*(e*x+d)^(3+m)/e^9/(3+m)-4*(-b*e+2*c*d)*(a*e^2-b
*d*e+c*d^2)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))*(e*x+d)^(4+m)/e^9/(4+m)+(70*c^4*d^4+b^4*e^4-4*b^2*c*e^3*(-3
*a*e+5*b*d)-20*c^3*d^2*e*(-3*a*e+7*b*d)+6*c^2*e^2*(a^2*e^2-10*a*b*d*e+15*b^2*d^2))*(e*x+d)^(5+m)/e^9/(5+m)-4*c
*(-b*e+2*c*d)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))*(e*x+d)^(6+m)/e^9/(6+m)+2*c^2*(14*c^2*d^2+3*b^2*e^2-2*c*e
*(-a*e+7*b*d))*(e*x+d)^(7+m)/e^9/(7+m)-4*c^3*(-b*e+2*c*d)*(e*x+d)^(8+m)/e^9/(8+m)+c^4*(e*x+d)^(9+m)/e^9/(9+m)

Rubi [A] (verified)

Time = 0.27 (sec) , antiderivative size = 485, normalized size of antiderivative = 1.00, number of steps used = 2, number of rules used = 1, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.050, Rules used = {712} \[ \int (d+e x)^m \left (a+b x+c x^2\right )^4 \, dx=\frac {(d+e x)^{m+5} \left (6 c^2 e^2 \left (a^2 e^2-10 a b d e+15 b^2 d^2\right )-4 b^2 c e^3 (5 b d-3 a e)-20 c^3 d^2 e (7 b d-3 a e)+b^4 e^4+70 c^4 d^4\right )}{e^9 (m+5)}+\frac {2 (d+e x)^{m+3} \left (a e^2-b d e+c d^2\right )^2 \left (-2 c e (7 b d-a e)+3 b^2 e^2+14 c^2 d^2\right )}{e^9 (m+3)}-\frac {4 (2 c d-b e) (d+e x)^{m+4} \left (a e^2-b d e+c d^2\right ) \left (-c e (7 b d-3 a e)+b^2 e^2+7 c^2 d^2\right )}{e^9 (m+4)}-\frac {4 c (2 c d-b e) (d+e x)^{m+6} \left (-c e (7 b d-3 a e)+b^2 e^2+7 c^2 d^2\right )}{e^9 (m+6)}+\frac {2 c^2 (d+e x)^{m+7} \left (-2 c e (7 b d-a e)+3 b^2 e^2+14 c^2 d^2\right )}{e^9 (m+7)}+\frac {(d+e x)^{m+1} \left (a e^2-b d e+c d^2\right )^4}{e^9 (m+1)}-\frac {4 (2 c d-b e) (d+e x)^{m+2} \left (a e^2-b d e+c d^2\right )^3}{e^9 (m+2)}-\frac {4 c^3 (2 c d-b e) (d+e x)^{m+8}}{e^9 (m+8)}+\frac {c^4 (d+e x)^{m+9}}{e^9 (m+9)} \]

[In]

Int[(d + e*x)^m*(a + b*x + c*x^2)^4,x]

[Out]

((c*d^2 - b*d*e + a*e^2)^4*(d + e*x)^(1 + m))/(e^9*(1 + m)) - (4*(2*c*d - b*e)*(c*d^2 - b*d*e + a*e^2)^3*(d +
e*x)^(2 + m))/(e^9*(2 + m)) + (2*(c*d^2 - b*d*e + a*e^2)^2*(14*c^2*d^2 + 3*b^2*e^2 - 2*c*e*(7*b*d - a*e))*(d +
e*x)^(3 + m))/(e^9*(3 + m)) - (4*(2*c*d - b*e)*(c*d^2 - b*d*e + a*e^2)*(7*c^2*d^2 + b^2*e^2 - c*e*(7*b*d - 3*
a*e))*(d + e*x)^(4 + m))/(e^9*(4 + m)) + ((70*c^4*d^4 + b^4*e^4 - 4*b^2*c*e^3*(5*b*d - 3*a*e) - 20*c^3*d^2*e*(
7*b*d - 3*a*e) + 6*c^2*e^2*(15*b^2*d^2 - 10*a*b*d*e + a^2*e^2))*(d + e*x)^(5 + m))/(e^9*(5 + m)) - (4*c*(2*c*d
- b*e)*(7*c^2*d^2 + b^2*e^2 - c*e*(7*b*d - 3*a*e))*(d + e*x)^(6 + m))/(e^9*(6 + m)) + (2*c^2*(14*c^2*d^2 + 3*
b^2*e^2 - 2*c*e*(7*b*d - a*e))*(d + e*x)^(7 + m))/(e^9*(7 + m)) - (4*c^3*(2*c*d - b*e)*(d + e*x)^(8 + m))/(e^9
*(8 + m)) + (c^4*(d + e*x)^(9 + m))/(e^9*(9 + m))

Rule 712

Int[((d_.) + (e_.)*(x_))^(m_)*((a_.) + (b_.)*(x_) + (c_.)*(x_)^2)^(p_.), x_Symbol] :> Int[ExpandIntegrand[(d +
e*x)^m*(a + b*x + c*x^2)^p, x], x] /; FreeQ[{a, b, c, d, e, m}, x] && NeQ[b^2 - 4*a*c, 0] && NeQ[c*d^2 - b*d*
e + a*e^2, 0] && NeQ[2*c*d - b*e, 0] && IntegerQ[p] && (GtQ[p, 0] || (EqQ[a, 0] && IntegerQ[m]))

Rubi steps \begin{align*} \text {integral}& = \int \left (\frac {\left (c d^2-b d e+a e^2\right )^4 (d+e x)^m}{e^8}+\frac {4 (-2 c d+b e) \left (c d^2-b d e+a e^2\right )^3 (d+e x)^{1+m}}{e^8}+\frac {2 \left (c d^2-b d e+a e^2\right )^2 \left (14 c^2 d^2+3 b^2 e^2-2 c e (7 b d-a e)\right ) (d+e x)^{2+m}}{e^8}+\frac {4 (2 c d-b e) \left (c d^2-b d e+a e^2\right ) \left (-7 c^2 d^2+7 b c d e-b^2 e^2-3 a c e^2\right ) (d+e x)^{3+m}}{e^8}+\frac {\left (70 c^4 d^4+b^4 e^4-4 b^2 c e^3 (5 b d-3 a e)-20 c^3 d^2 e (7 b d-3 a e)+6 c^2 e^2 \left (15 b^2 d^2-10 a b d e+a^2 e^2\right )\right ) (d+e x)^{4+m}}{e^8}+\frac {4 c (2 c d-b e) \left (-7 c^2 d^2-b^2 e^2+c e (7 b d-3 a e)\right ) (d+e x)^{5+m}}{e^8}+\frac {2 c^2 \left (14 c^2 d^2+3 b^2 e^2-2 c e (7 b d-a e)\right ) (d+e x)^{6+m}}{e^8}-\frac {4 c^3 (2 c d-b e) (d+e x)^{7+m}}{e^8}+\frac {c^4 (d+e x)^{8+m}}{e^8}\right ) \, dx \\ & = \frac {\left (c d^2-b d e+a e^2\right )^4 (d+e x)^{1+m}}{e^9 (1+m)}-\frac {4 (2 c d-b e) \left (c d^2-b d e+a e^2\right )^3 (d+e x)^{2+m}}{e^9 (2+m)}+\frac {2 \left (c d^2-b d e+a e^2\right )^2 \left (14 c^2 d^2+3 b^2 e^2-2 c e (7 b d-a e)\right ) (d+e x)^{3+m}}{e^9 (3+m)}-\frac {4 (2 c d-b e) \left (c d^2-b d e+a e^2\right ) \left (7 c^2 d^2+b^2 e^2-c e (7 b d-3 a e)\right ) (d+e x)^{4+m}}{e^9 (4+m)}+\frac {\left (70 c^4 d^4+b^4 e^4-4 b^2 c e^3 (5 b d-3 a e)-20 c^3 d^2 e (7 b d-3 a e)+6 c^2 e^2 \left (15 b^2 d^2-10 a b d e+a^2 e^2\right )\right ) (d+e x)^{5+m}}{e^9 (5+m)}-\frac {4 c (2 c d-b e) \left (7 c^2 d^2+b^2 e^2-c e (7 b d-3 a e)\right ) (d+e x)^{6+m}}{e^9 (6+m)}+\frac {2 c^2 \left (14 c^2 d^2+3 b^2 e^2-2 c e (7 b d-a e)\right ) (d+e x)^{7+m}}{e^9 (7+m)}-\frac {4 c^3 (2 c d-b e) (d+e x)^{8+m}}{e^9 (8+m)}+\frac {c^4 (d+e x)^{9+m}}{e^9 (9+m)} \\ \end{align*}

Mathematica [B] (verified)

Leaf count is larger than twice the leaf count of optimal. \(1197\) vs. \(2(485)=970\).

Time = 2.98 (sec) , antiderivative size = 1197, normalized size of antiderivative = 2.47 \[ \int (d+e x)^m \left (a+b x+c x^2\right )^4 \, dx=\frac {(d+e x)^{1+m} \left ((a+x (b+c x))^4-\frac {4 (d+e x) (a+x (b+c x))^3 (b e (15+m)+2 c (-7 d+e (8+m) x))}{e^2 (8+m) (9+m)}-\frac {12 (d+e x) \left (-2 \left ((2 c d-b e) \left (c d^2+e (-b d+a e)\right ) (3+m) \left (840 c^4 d^4-b^4 e^4 \left (8+14 m+7 m^2+m^3\right )-4 b^2 c e^3 \left (2+3 m+m^2\right ) (5 b d-a e (13+2 m))-80 c^3 d^2 e \left (21 b d+a e \left (-19+3 m+m^2\right )\right )+4 c^2 e^2 \left (20 a b d e \left (-19+3 m+m^2\right )+5 b^2 d^2 \left (44+3 m+m^2\right )-2 a^2 e^2 \left (-69+58 m+24 m^2+2 m^3\right )\right )\right )+(2+m) \left (-1680 c^6 d^6+b^6 e^6 \left (12+19 m+8 m^2+m^3\right )-b^4 c e^5 \left (3+4 m+m^2\right ) (b d (-8+3 m)+a e (56+9 m))+80 c^5 d^4 e \left (63 b d+a e \left (-66-m+2 m^2\right )\right )+b^2 c^2 e^4 (1+m) \left (3 b^2 d^2 \left (12-13 m+m^2\right )+12 a^2 e^2 \left (69+24 m+2 m^2\right )+8 a b d e \left (-39+11 m+3 m^2\right )\right )-4 c^4 d^2 e^2 \left (40 a b d e \left (-66-m+2 m^2\right )+5 b^2 d^2 \left (249-m+2 m^2\right )-12 a^2 e^2 \left (-123-11 m+8 m^2+m^3\right )\right )-8 c^3 e^3 \left (-5 b^3 d^3 \left (39-m+2 m^2\right )+3 a b^2 d^2 e \left (207-6 m-2 m^2+m^3\right )+6 a^2 b d e^2 \left (-123-11 m+8 m^2+m^3\right )+2 a^3 e^3 \left (192+104 m+18 m^2+m^3\right )\right )\right ) (d+e x)+e^2 (2+m) (3+m) \left (c e (5+m) \left (c e (b d-2 a e) (7+m) \left (14 b \left (c d^2+a e^2\right )+4 a c d e (1+m)-b^2 d e (15+m)\right )-(b d (5 c d-2 b e)+a e (2 c d (1+m)-b e (2+m))) \left (28 c^2 d^2-b^2 e^2 (1+m)+4 c e (-7 b d+a e (8+m))\right )\right )-(3 c d-b e) \left (c e (2 c d-b e) (7+m) \left (14 b \left (c d^2+a e^2\right )+4 a c d e (1+m)-b^2 d e (15+m)\right )-\left (10 c^2 d^2-b^2 e^2 (4+m)+c e (b d (-3+m)+2 a e (6+m))\right ) \left (28 c^2 d^2-b^2 e^2 (1+m)+4 c e (-7 b d+a e (8+m))\right )\right )+c e (4+m) \left (c e (2 c d-b e) (7+m) \left (14 b \left (c d^2+a e^2\right )+4 a c d e (1+m)-b^2 d e (15+m)\right )-\left (10 c^2 d^2-b^2 e^2 (4+m)+c e (b d (-3+m)+2 a e (6+m))\right ) \left (28 c^2 d^2-b^2 e^2 (1+m)+4 c e (-7 b d+a e (8+m))\right )\right ) x\right ) (a+x (b+c x))\right )+c e^4 (2+m) (3+m) (4+m) (5+m) (a+x (b+c x))^2 \left (-2 b^3 e^3 (1+m)-28 c^3 d^2 (5 d-e (6+m) x)-b c e^2 \left (-2 a e (81+11 m)+b d \left (156+17 m+m^2\right )+b e \left (6+7 m+m^2\right ) x\right )+2 c^2 e \left (7 b d (d (21+m)-2 e (6+m) x)+2 a e \left (d \left (-33+3 m+m^2\right )+e \left (48+14 m+m^2\right ) x\right )\right )\right )\right )}{c^2 e^8 (2+m) (3+m) (4+m) (5+m) (6+m) (7+m) (8+m) (9+m)}\right )}{e (1+m)} \]

[In]

Integrate[(d + e*x)^m*(a + b*x + c*x^2)^4,x]

[Out]

((d + e*x)^(1 + m)*((a + x*(b + c*x))^4 - (4*(d + e*x)*(a + x*(b + c*x))^3*(b*e*(15 + m) + 2*c*(-7*d + e*(8 +
m)*x)))/(e^2*(8 + m)*(9 + m)) - (12*(d + e*x)*(-2*((2*c*d - b*e)*(c*d^2 + e*(-(b*d) + a*e))*(3 + m)*(840*c^4*d
^4 - b^4*e^4*(8 + 14*m + 7*m^2 + m^3) - 4*b^2*c*e^3*(2 + 3*m + m^2)*(5*b*d - a*e*(13 + 2*m)) - 80*c^3*d^2*e*(2
1*b*d + a*e*(-19 + 3*m + m^2)) + 4*c^2*e^2*(20*a*b*d*e*(-19 + 3*m + m^2) + 5*b^2*d^2*(44 + 3*m + m^2) - 2*a^2*
e^2*(-69 + 58*m + 24*m^2 + 2*m^3))) + (2 + m)*(-1680*c^6*d^6 + b^6*e^6*(12 + 19*m + 8*m^2 + m^3) - b^4*c*e^5*(
3 + 4*m + m^2)*(b*d*(-8 + 3*m) + a*e*(56 + 9*m)) + 80*c^5*d^4*e*(63*b*d + a*e*(-66 - m + 2*m^2)) + b^2*c^2*e^4
*(1 + m)*(3*b^2*d^2*(12 - 13*m + m^2) + 12*a^2*e^2*(69 + 24*m + 2*m^2) + 8*a*b*d*e*(-39 + 11*m + 3*m^2)) - 4*c
^4*d^2*e^2*(40*a*b*d*e*(-66 - m + 2*m^2) + 5*b^2*d^2*(249 - m + 2*m^2) - 12*a^2*e^2*(-123 - 11*m + 8*m^2 + m^3
)) - 8*c^3*e^3*(-5*b^3*d^3*(39 - m + 2*m^2) + 3*a*b^2*d^2*e*(207 - 6*m - 2*m^2 + m^3) + 6*a^2*b*d*e^2*(-123 -
11*m + 8*m^2 + m^3) + 2*a^3*e^3*(192 + 104*m + 18*m^2 + m^3)))*(d + e*x) + e^2*(2 + m)*(3 + m)*(c*e*(5 + m)*(c
*e*(b*d - 2*a*e)*(7 + m)*(14*b*(c*d^2 + a*e^2) + 4*a*c*d*e*(1 + m) - b^2*d*e*(15 + m)) - (b*d*(5*c*d - 2*b*e)
+ a*e*(2*c*d*(1 + m) - b*e*(2 + m)))*(28*c^2*d^2 - b^2*e^2*(1 + m) + 4*c*e*(-7*b*d + a*e*(8 + m)))) - (3*c*d -
b*e)*(c*e*(2*c*d - b*e)*(7 + m)*(14*b*(c*d^2 + a*e^2) + 4*a*c*d*e*(1 + m) - b^2*d*e*(15 + m)) - (10*c^2*d^2 -
b^2*e^2*(4 + m) + c*e*(b*d*(-3 + m) + 2*a*e*(6 + m)))*(28*c^2*d^2 - b^2*e^2*(1 + m) + 4*c*e*(-7*b*d + a*e*(8
+ m)))) + c*e*(4 + m)*(c*e*(2*c*d - b*e)*(7 + m)*(14*b*(c*d^2 + a*e^2) + 4*a*c*d*e*(1 + m) - b^2*d*e*(15 + m))
- (10*c^2*d^2 - b^2*e^2*(4 + m) + c*e*(b*d*(-3 + m) + 2*a*e*(6 + m)))*(28*c^2*d^2 - b^2*e^2*(1 + m) + 4*c*e*(
-7*b*d + a*e*(8 + m))))*x)*(a + x*(b + c*x))) + c*e^4*(2 + m)*(3 + m)*(4 + m)*(5 + m)*(a + x*(b + c*x))^2*(-2*
b^3*e^3*(1 + m) - 28*c^3*d^2*(5*d - e*(6 + m)*x) - b*c*e^2*(-2*a*e*(81 + 11*m) + b*d*(156 + 17*m + m^2) + b*e*
(6 + 7*m + m^2)*x) + 2*c^2*e*(7*b*d*(d*(21 + m) - 2*e*(6 + m)*x) + 2*a*e*(d*(-33 + 3*m + m^2) + e*(48 + 14*m +
m^2)*x)))))/(c^2*e^8*(2 + m)*(3 + m)*(4 + m)*(5 + m)*(6 + m)*(7 + m)*(8 + m)*(9 + m))))/(e*(1 + m))

Maple [B] (verified)

Leaf count of result is larger than twice the leaf count of optimal. \(7695\) vs. \(2(485)=970\).

Time = 0.37 (sec) , antiderivative size = 7696, normalized size of antiderivative = 15.87

method	result	size
gosper	\(\text {Expression too large to display}\)	\(7696\)
risch	\(\text {Expression too large to display}\)	\(9170\)
parallelrisch	\(\text {Expression too large to display}\)	\(13498\)

[In]

int((e*x+d)^m*(c*x^2+b*x+a)^4,x,method=_RETURNVERBOSE)

[Out]

result too large to display

Fricas [B] (verification not implemented)

Leaf count of result is larger than twice the leaf count of optimal. 6186 vs. \(2 (485) = 970\).

Time = 0.47 (sec) , antiderivative size = 6186, normalized size of antiderivative = 12.75 \[ \int (d+e x)^m \left (a+b x+c x^2\right )^4 \, dx=\text {Too large to display} \]

[In]

integrate((e*x+d)^m*(c*x^2+b*x+a)^4,x, algorithm="fricas")

[Out]

Too large to include

Sympy [B] (verification not implemented)

Leaf count of result is larger than twice the leaf count of optimal. 116059 vs. \(2 (466) = 932\).

Time = 25.67 (sec) , antiderivative size = 116059, normalized size of antiderivative = 239.30 \[ \int (d+e x)^m \left (a+b x+c x^2\right )^4 \, dx=\text {Too large to display} \]

[In]

integrate((e*x+d)**m*(c*x**2+b*x+a)**4,x)

[Out]

Piecewise((d**m*(a**4*x + 2*a**3*b*x**2 + 4*a**3*c*x**3/3 + 2*a**2*b**2*x**3 + 3*a**2*b*c*x**4 + 6*a**2*c**2*x
**5/5 + a*b**3*x**4 + 12*a*b**2*c*x**5/5 + 2*a*b*c**2*x**6 + 4*a*c**3*x**7/7 + b**4*x**5/5 + 2*b**3*c*x**6/3 +
6*b**2*c**2*x**7/7 + b*c**3*x**8/2 + c**4*x**9/9), Eq(e, 0)), (-105*a**4*e**8/(840*d**8*e**9 + 6720*d**7*e**1
0*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**12*x**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d*
*2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17*x**8) - 60*a**3*b*d*e**7/(840*d**8*e**9 + 6720*d**7*e**10*x + 23
520*d**6*e**11*x**2 + 47040*d**5*e**12*x**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15
*x**6 + 6720*d*e**16*x**7 + 840*e**17*x**8) - 480*a**3*b*e**8*x/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**
6*e**11*x**2 + 47040*d**5*e**12*x**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 +
6720*d*e**16*x**7 + 840*e**17*x**8) - 20*a**3*c*d**2*e**6/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**
11*x**2 + 47040*d**5*e**12*x**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720
*d*e**16*x**7 + 840*e**17*x**8) - 160*a**3*c*d*e**7*x/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x*
*2 + 47040*d**5*e**12*x**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e*
*16*x**7 + 840*e**17*x**8) - 560*a**3*c*e**8*x**2/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 +
47040*d**5*e**12*x**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*
x**7 + 840*e**17*x**8) - 30*a**2*b**2*d**2*e**6/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 4
7040*d**5*e**12*x**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x*
*7 + 840*e**17*x**8) - 240*a**2*b**2*d*e**7*x/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 470
40*d**5*e**12*x**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7
+ 840*e**17*x**8) - 840*a**2*b**2*e**8*x**2/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 4704
0*d**5*e**12*x**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7
+ 840*e**17*x**8) - 36*a**2*b*c*d**3*e**5/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d
**5*e**12*x**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 8
40*e**17*x**8) - 288*a**2*b*c*d**2*e**6*x/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d
**5*e**12*x**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 8
40*e**17*x**8) - 1008*a**2*b*c*d*e**7*x**2/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*
d**5*e**12*x**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 +
840*e**17*x**8) - 2016*a**2*b*c*e**8*x**3/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d
**5*e**12*x**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 8
40*e**17*x**8) - 18*a**2*c**2*d**4*e**4/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**
5*e**12*x**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840
*e**17*x**8) - 144*a**2*c**2*d**3*e**5*x/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d*
*5*e**12*x**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 84
0*e**17*x**8) - 504*a**2*c**2*d**2*e**6*x**2/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 4704
0*d**5*e**12*x**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7
+ 840*e**17*x**8) - 1008*a**2*c**2*d*e**7*x**3/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47
040*d**5*e**12*x**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**
7 + 840*e**17*x**8) - 1260*a**2*c**2*e**8*x**4/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47
040*d**5*e**12*x**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**
7 + 840*e**17*x**8) - 12*a*b**3*d**3*e**5/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d
**5*e**12*x**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 8
40*e**17*x**8) - 96*a*b**3*d**2*e**6*x/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5
*e**12*x**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*
e**17*x**8) - 336*a*b**3*d*e**7*x**2/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e
**12*x**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e*
*17*x**8) - 672*a*b**3*e**8*x**3/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**12
*x**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17*
x**8) - 36*a*b**2*c*d**4*e**4/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**12*x*
*3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17*x**
8) - 288*a*b**2*c*d**3*e**5*x/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**12*x*
*3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17*x**
8) - 1008*a*b**2*c*d**2*e**6*x**2/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**1
2*x**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17
*x**8) - 2016*a*b**2*c*d*e**7*x**3/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**
12*x**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**1
7*x**8) - 2520*a*b**2*c*e**8*x**4/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**1
2*x**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17
*x**8) - 60*a*b*c**2*d**5*e**3/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**12*x
**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17*x*
*8) - 480*a*b*c**2*d**4*e**4*x/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**12*x
**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17*x*
*8) - 1680*a*b*c**2*d**3*e**5*x**2/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**
12*x**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**1
7*x**8) - 3360*a*b*c**2*d**2*e**6*x**3/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5
*e**12*x**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*
e**17*x**8) - 4200*a*b*c**2*d*e**7*x**4/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**
5*e**12*x**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840
*e**17*x**8) - 3360*a*b*c**2*e**8*x**5/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5
*e**12*x**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*
e**17*x**8) - 60*a*c**3*d**6*e**2/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**1
2*x**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17
*x**8) - 480*a*c**3*d**5*e**3*x/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**12*
x**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17*x
**8) - 1680*a*c**3*d**4*e**4*x**2/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**1
2*x**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17
*x**8) - 3360*a*c**3*d**3*e**5*x**3/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e*
*12*x**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**
17*x**8) - 4200*a*c**3*d**2*e**6*x**4/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*
e**12*x**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e
**17*x**8) - 3360*a*c**3*d*e**7*x**5/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e
**12*x**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e*
*17*x**8) - 1680*a*c**3*e**8*x**6/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**1
2*x**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17
*x**8) - 3*b**4*d**4*e**4/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**12*x**3 +
58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17*x**8) -
24*b**4*d**3*e**5*x/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**12*x**3 + 5880
0*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17*x**8) - 84*b
**4*d**2*e**6*x**2/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**12*x**3 + 58800*
d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17*x**8) - 168*b*
*4*d*e**7*x**3/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**12*x**3 + 58800*d**4
*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17*x**8) - 210*b**4*e
**8*x**4/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**12*x**3 + 58800*d**4*e**13
*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17*x**8) - 20*b**3*c*d**5*e
**3/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**12*x**3 + 58800*d**4*e**13*x**4
+ 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17*x**8) - 160*b**3*c*d**4*e**4*
x/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**12*x**3 + 58800*d**4*e**13*x**4 +
47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17*x**8) - 560*b**3*c*d**3*e**5*x*
*2/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**12*x**3 + 58800*d**4*e**13*x**4
+ 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17*x**8) - 1120*b**3*c*d**2*e**6*
x**3/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**12*x**3 + 58800*d**4*e**13*x**
4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17*x**8) - 1400*b**3*c*d*e**7*x
**4/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**12*x**3 + 58800*d**4*e**13*x**4
+ 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17*x**8) - 1120*b**3*c*e**8*x**5
/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**12*x**3 + 58800*d**4*e**13*x**4 +
47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17*x**8) - 90*b**2*c**2*d**6*e**2/(
840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**12*x**3 + 58800*d**4*e**13*x**4 + 47
040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17*x**8) - 720*b**2*c**2*d**5*e**3*x/
(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**12*x**3 + 58800*d**4*e**13*x**4 + 4
7040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17*x**8) - 2520*b**2*c**2*d**4*e**4*
x**2/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**12*x**3 + 58800*d**4*e**13*x**
4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17*x**8) - 5040*b**2*c**2*d**3*
e**5*x**3/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**12*x**3 + 58800*d**4*e**1
3*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17*x**8) - 6300*b**2*c**2*
d**2*e**6*x**4/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**12*x**3 + 58800*d**4
*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17*x**8) - 5040*b**2*
c**2*d*e**7*x**5/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**12*x**3 + 58800*d*
*4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17*x**8) - 2520*b**
2*c**2*e**8*x**6/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**12*x**3 + 58800*d*
*4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17*x**8) - 420*b*c*
*3*d**7*e/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**12*x**3 + 58800*d**4*e**1
3*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17*x**8) - 3360*b*c**3*d**
6*e**2*x/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**12*x**3 + 58800*d**4*e**13
*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17*x**8) - 11760*b*c**3*d**
5*e**3*x**2/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**12*x**3 + 58800*d**4*e*
*13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17*x**8) - 23520*b*c**3*
d**4*e**4*x**3/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**12*x**3 + 58800*d**4
*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17*x**8) - 29400*b*c*
*3*d**3*e**5*x**4/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**12*x**3 + 58800*d
**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17*x**8) - 23520*b
*c**3*d**2*e**6*x**5/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**12*x**3 + 5880
0*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17*x**8) - 1176
0*b*c**3*d*e**7*x**6/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**12*x**3 + 5880
0*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17*x**8) - 3360
*b*c**3*e**8*x**7/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**12*x**3 + 58800*d
**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17*x**8) + 840*c**
4*d**8*log(d/e + x)/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**12*x**3 + 58800
*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17*x**8) + 2283*
c**4*d**8/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**12*x**3 + 58800*d**4*e**1
3*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17*x**8) + 6720*c**4*d**7*
e*x*log(d/e + x)/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**12*x**3 + 58800*d*
*4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17*x**8) + 17424*c*
*4*d**7*e*x/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**12*x**3 + 58800*d**4*e*
*13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17*x**8) + 23520*c**4*d*
*6*e**2*x**2*log(d/e + x)/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**12*x**3 +
58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17*x**8) +
57624*c**4*d**6*e**2*x**2/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**12*x**3
+ 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17*x**8)
+ 47040*c**4*d**5*e**3*x**3*log(d/e + x)/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d*
*5*e**12*x**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 84
0*e**17*x**8) + 107408*c**4*d**5*e**3*x**3/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*
d**5*e**12*x**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 +
840*e**17*x**8) + 58800*c**4*d**4*e**4*x**4*log(d/e + x)/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11
*x**2 + 47040*d**5*e**12*x**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d
*e**16*x**7 + 840*e**17*x**8) + 122500*c**4*d**4*e**4*x**4/(840*d**8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**
11*x**2 + 47040*d**5*e**12*x**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720
*d*e**16*x**7 + 840*e**17*x**8) + 47040*c**4*d**3*e**5*x**5*log(d/e + x)/(840*d**8*e**9 + 6720*d**7*e**10*x +
23520*d**6*e**11*x**2 + 47040*d**5*e**12*x**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e**
15*x**6 + 6720*d*e**16*x**7 + 840*e**17*x**8) + 86240*c**4*d**3*e**5*x**5/(840*d**8*e**9 + 6720*d**7*e**10*x +
23520*d**6*e**11*x**2 + 47040*d**5*e**12*x**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 + 23520*d**2*e*
*15*x**6 + 6720*d*e**16*x**7 + 840*e**17*x**8) + 23520*c**4*d**2*e**6*x**6*log(d/e + x)/(840*d**8*e**9 + 6720*
d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**12*x**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5 +
23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17*x**8) + 35280*c**4*d**2*e**6*x**6/(840*d**8*e**9 + 6720
*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**12*x**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**14*x**5
+ 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17*x**8) + 6720*c**4*d*e**7*x**7*log(d/e + x)/(840*d**8*e
**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**12*x**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e
**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17*x**8) + 6720*c**4*d*e**7*x**7/(840*d**8*e**9
+ 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**12*x**3 + 58800*d**4*e**13*x**4 + 47040*d**3*e**1
4*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17*x**8) + 840*c**4*e**8*x**8*log(d/e + x)/(840*d*
*8*e**9 + 6720*d**7*e**10*x + 23520*d**6*e**11*x**2 + 47040*d**5*e**12*x**3 + 58800*d**4*e**13*x**4 + 47040*d*
*3*e**14*x**5 + 23520*d**2*e**15*x**6 + 6720*d*e**16*x**7 + 840*e**17*x**8), Eq(m, -9)), (-15*a**4*e**8/(105*d
**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e
**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) - 10*a**3*b*d*e**7/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**
5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**
16*x**7) - 70*a**3*b*e**8*x/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 +
3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) - 4*a**3*c*d**2*e**6/(105*d**
7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**
14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) - 28*a**3*c*d*e**7*x/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**
5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**
16*x**7) - 84*a**3*c*e**8*x**2/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3
+ 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) - 6*a**2*b**2*d**2*e**6/(1
05*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d*
*2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) - 42*a**2*b**2*d*e**7*x/(105*d**7*e**9 + 735*d**6*e**10*x +
2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6
+ 105*e**16*x**7) - 126*a**2*b**2*e**8*x**2/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d*
*4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) - 9*a**2*b*c*
d**3*e**5/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x*
*4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) - 63*a**2*b*c*d**2*e**6*x/(105*d**7*e**9 + 735*
d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735
*d*e**15*x**6 + 105*e**16*x**7) - 189*a**2*b*c*d*e**7*x**2/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11
*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7
) - 315*a**2*b*c*e**8*x**3/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3
675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) - 6*a**2*c**2*d**4*e**4/(105*d
**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e
**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) - 42*a**2*c**2*d**3*e**5*x/(105*d**7*e**9 + 735*d**6*e**10*x +
2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 +
105*e**16*x**7) - 126*a**2*c**2*d**2*e**6*x**2/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 367
5*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) - 210*a**
2*c**2*d*e**7*x**3/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3
*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) - 210*a**2*c**2*e**8*x**4/(105*d**7*e*
*9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x
**5 + 735*d*e**15*x**6 + 105*e**16*x**7) - 3*a*b**3*d**3*e**5/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e*
*11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x
**7) - 21*a*b**3*d**2*e**6*x/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 +
3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) - 63*a*b**3*d*e**7*x**2/(105
*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2
*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) - 105*a*b**3*e**8*x**3/(105*d**7*e**9 + 735*d**6*e**10*x + 22
05*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 1
05*e**16*x**7) - 12*a*b**2*c*d**4*e**4/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e*
*12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) - 84*a*b**2*c*d**3
*e**5*x/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4
+ 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) - 252*a*b**2*c*d**2*e**6*x**2/(105*d**7*e**9 + 73
5*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 7
35*d*e**15*x**6 + 105*e**16*x**7) - 420*a*b**2*c*d*e**7*x**3/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**
11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x*
*7) - 420*a*b**2*c*e**8*x**4/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 +
3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) - 30*a*b*c**2*d**5*e**3/(105
*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2
*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) - 210*a*b*c**2*d**4*e**4*x/(105*d**7*e**9 + 735*d**6*e**10*x
+ 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6
+ 105*e**16*x**7) - 630*a*b*c**2*d**3*e**5*x**2/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 36
75*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) - 1050*a
*b*c**2*d**2*e**6*x**3/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*
d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) - 1050*a*b*c**2*d*e**7*x**4/(105*d
**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e
**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) - 630*a*b*c**2*e**8*x**5/(105*d**7*e**9 + 735*d**6*e**10*x + 22
05*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 1
05*e**16*x**7) - 60*a*c**3*d**6*e**2/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**1
2*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) - 420*a*c**3*d**5*e*
*3*x/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 +
2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) - 1260*a*c**3*d**4*e**4*x**2/(105*d**7*e**9 + 735*d*
*6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d
*e**15*x**6 + 105*e**16*x**7) - 2100*a*c**3*d**3*e**5*x**3/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11
*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7
) - 2100*a*c**3*d**2*e**6*x**4/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3
+ 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) - 1260*a*c**3*d*e**7*x**5/
(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*
d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) - 420*a*c**3*e**8*x**6/(105*d**7*e**9 + 735*d**6*e**10*x
+ 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6
+ 105*e**16*x**7) - b**4*d**4*e**4/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12
*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) - 7*b**4*d**3*e**5*x/
(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*
d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) - 21*b**4*d**2*e**6*x**2/(105*d**7*e**9 + 735*d**6*e**10*
x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x*
*6 + 105*e**16*x**7) - 35*b**4*d*e**7*x**3/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**
4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) - 35*b**4*e**8
*x**4/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 +
2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) - 10*b**3*c*d**5*e**3/(105*d**7*e**9 + 735*d**6*e**
10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15
*x**6 + 105*e**16*x**7) - 70*b**3*c*d**4*e**4*x/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 367
5*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) - 210*b**
3*c*d**3*e**5*x**2/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3
*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) - 350*b**3*c*d**2*e**6*x**3/(105*d**7*
e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14
*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) - 350*b**3*c*d*e**7*x**4/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d
**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e
**16*x**7) - 210*b**3*c*e**8*x**5/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x
**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) - 90*b**2*c**2*d**6*e**
2/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 220
5*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) - 630*b**2*c**2*d**5*e**3*x/(105*d**7*e**9 + 735*d**6*e
**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**
15*x**6 + 105*e**16*x**7) - 1890*b**2*c**2*d**4*e**4*x**2/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*
x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7)
- 3150*b**2*c**2*d**3*e**5*x**3/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x*
*3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) - 3150*b**2*c**2*d**2*e*
*6*x**4/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4
+ 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) - 1890*b**2*c**2*d*e**7*x**5/(105*d**7*e**9 + 735
*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 73
5*d*e**15*x**6 + 105*e**16*x**7) - 630*b**2*c**2*e**8*x**6/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11
*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7
) + 420*b*c**3*d**7*e*log(d/e + x)/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*
x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) + 1089*b*c**3*d**7*e/(
105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d
**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) + 2940*b*c**3*d**6*e**2*x*log(d/e + x)/(105*d**7*e**9 + 73
5*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 7
35*d*e**15*x**6 + 105*e**16*x**7) + 7203*b*c**3*d**6*e**2*x/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**1
1*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**
7) + 8820*b*c**3*d**5*e**3*x**2*log(d/e + x)/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d
**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) + 20139*b*c*
*3*d**5*e**3*x**2/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*
e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) + 14700*b*c**3*d**4*e**4*x**3*log(d/e +
x)/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2
205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) + 30625*b*c**3*d**4*e**4*x**3/(105*d**7*e**9 + 735*d*
*6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d
*e**15*x**6 + 105*e**16*x**7) + 14700*b*c**3*d**3*e**5*x**4*log(d/e + x)/(105*d**7*e**9 + 735*d**6*e**10*x + 2
205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 +
105*e**16*x**7) + 26950*b*c**3*d**3*e**5*x**4/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*
d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) + 8820*b*c*
*3*d**2*e**6*x**5*log(d/e + x)/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3
+ 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) + 13230*b*c**3*d**2*e**6*x
**5/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2
205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) + 2940*b*c**3*d*e**7*x**6*log(d/e + x)/(105*d**7*e**9
+ 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**
5 + 735*d*e**15*x**6 + 105*e**16*x**7) + 2940*b*c**3*d*e**7*x**6/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5
*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**1
6*x**7) + 420*b*c**3*e**8*x**7*log(d/e + x)/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d*
*4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) - 840*c**4*d*
*8*log(d/e + x)/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e*
*13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) - 2178*c**4*d**8/(105*d**7*e**9 + 735*d**
6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*
e**15*x**6 + 105*e**16*x**7) - 5880*c**4*d**7*e*x*log(d/e + x)/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e
**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*
x**7) - 14406*c**4*d**7*e*x/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 +
3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) - 17640*c**4*d**6*e**2*x**2*l
og(d/e + x)/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*
x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) - 40278*c**4*d**6*e**2*x**2/(105*d**7*e**9 +
735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 +
735*d*e**15*x**6 + 105*e**16*x**7) - 29400*c**4*d**5*e**3*x**3*log(d/e + x)/(105*d**7*e**9 + 735*d**6*e**10*x
+ 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**
6 + 105*e**16*x**7) - 61250*c**4*d**5*e**3*x**3/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 367
5*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) - 29400*c
**4*d**4*e**4*x**4*log(d/e + x)/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**
3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) - 53900*c**4*d**4*e**4*x*
*4/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 22
05*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) - 17640*c**4*d**3*e**5*x**5*log(d/e + x)/(105*d**7*e**
9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x*
*5 + 735*d*e**15*x**6 + 105*e**16*x**7) - 26460*c**4*d**3*e**5*x**5/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d
**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e
**16*x**7) - 5880*c**4*d**2*e**6*x**6*log(d/e + x)/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 +
3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) - 5880
*c**4*d**2*e**6*x**6/(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d*
*3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) - 840*c**4*d*e**7*x**7*log(d/e + x)/
(105*d**7*e**9 + 735*d**6*e**10*x + 2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*
d**2*e**14*x**5 + 735*d*e**15*x**6 + 105*e**16*x**7) + 105*c**4*e**8*x**8/(105*d**7*e**9 + 735*d**6*e**10*x +
2205*d**5*e**11*x**2 + 3675*d**4*e**12*x**3 + 3675*d**3*e**13*x**4 + 2205*d**2*e**14*x**5 + 735*d*e**15*x**6 +
105*e**16*x**7), Eq(m, -8)), (-5*a**4*e**8/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*
e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) - 4*a**3*b*d*e**7/(30*d**6*e**9 + 180*d**
5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6
) - 24*a**3*b*e**8*x/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e
**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) - 2*a**3*c*d**2*e**6/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4
*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) - 12*a**3*c*d*e**7
*x/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*
e**14*x**5 + 30*e**15*x**6) - 30*a**3*c*e**8*x**2/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600
*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) - 3*a**2*b**2*d**2*e**6/(30*d**6*e*
*9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 3
0*e**15*x**6) - 18*a**2*b**2*d*e**7*x/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*
x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) - 45*a**2*b**2*e**8*x**2/(30*d**6*e**9 + 180*d*
*5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**
6) - 6*a**2*b*c*d**3*e**5/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d
**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) - 36*a**2*b*c*d**2*e**6*x/(30*d**6*e**9 + 180*d**5*e**10*x
+ 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) - 90*a**
2*b*c*d*e**7*x**2/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**1
3*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) - 120*a**2*b*c*e**8*x**3/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**
4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) - 6*a**2*c**2*d**
4*e**4/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 18
0*d*e**14*x**5 + 30*e**15*x**6) - 36*a**2*c**2*d**3*e**5*x/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x
**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) - 90*a**2*c**2*d**2*e**6*x
**2/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d
*e**14*x**5 + 30*e**15*x**6) - 120*a**2*c**2*d*e**7*x**3/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**
2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) - 90*a**2*c**2*e**8*x**4/(30
*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*
x**5 + 30*e**15*x**6) - 2*a*b**3*d**3*e**5/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e
**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) - 12*a*b**3*d**2*e**6*x/(30*d**6*e**9 + 18
0*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15
*x**6) - 30*a*b**3*d*e**7*x**2/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 +
450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) - 40*a*b**3*e**8*x**3/(30*d**6*e**9 + 180*d**5*e**10*x
+ 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) - 12*a*
b**2*c*d**4*e**4/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13
*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) - 72*a*b**2*c*d**3*e**5*x/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**
4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) - 180*a*b**2*c*d*
*2*e**6*x**2/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**
4 + 180*d*e**14*x**5 + 30*e**15*x**6) - 240*a*b**2*c*d*e**7*x**3/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e
**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) - 180*a*b**2*c*e**8*
x**4/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*
d*e**14*x**5 + 30*e**15*x**6) - 60*a*b*c**2*d**5*e**3/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 +
600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) - 360*a*b*c**2*d**4*e**4*x/(30*
d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x
**5 + 30*e**15*x**6) - 900*a*b*c**2*d**3*e**5*x**2/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 60
0*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) - 1200*a*b*c**2*d**2*e**6*x**3/(30
*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*
x**5 + 30*e**15*x**6) - 900*a*b*c**2*d*e**7*x**4/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*
d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) - 360*a*b*c**2*e**8*x**5/(30*d**6*e*
*9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 3
0*e**15*x**6) + 120*a*c**3*d**6*e**2*log(d/e + x)/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600
*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) + 294*a*c**3*d**6*e**2/(30*d**6*e**
9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30
*e**15*x**6) + 720*a*c**3*d**5*e**3*x*log(d/e + x)/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 60
0*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) + 1644*a*c**3*d**5*e**3*x/(30*d**6
*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5
+ 30*e**15*x**6) + 1800*a*c**3*d**4*e**4*x**2*log(d/e + x)/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x
**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) + 3750*a*c**3*d**4*e**4*x*
*2/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*
e**14*x**5 + 30*e**15*x**6) + 2400*a*c**3*d**3*e**5*x**3*log(d/e + x)/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d
**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) + 4400*a*c**3*d
**3*e**5*x**3/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x*
*4 + 180*d*e**14*x**5 + 30*e**15*x**6) + 1800*a*c**3*d**2*e**6*x**4*log(d/e + x)/(30*d**6*e**9 + 180*d**5*e**1
0*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) + 27
00*a*c**3*d**2*e**6*x**4/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d*
*2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) + 720*a*c**3*d*e**7*x**5*log(d/e + x)/(30*d**6*e**9 + 180*d*
*5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**
6) + 720*a*c**3*d*e**7*x**5/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450
*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) + 120*a*c**3*e**8*x**6*log(d/e + x)/(30*d**6*e**9 + 180*d
**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x*
*6) - b**4*d**4*e**4/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e
**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) - 6*b**4*d**3*e**5*x/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4
*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) - 15*b**4*d**2*e**
6*x**2/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 18
0*d*e**14*x**5 + 30*e**15*x**6) - 20*b**4*d*e**7*x**3/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 +
600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) - 15*b**4*e**8*x**4/(30*d**6*e*
*9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 3
0*e**15*x**6) - 20*b**3*c*d**5*e**3/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x*
*3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) - 120*b**3*c*d**4*e**4*x/(30*d**6*e**9 + 180*d**5
*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6)
- 300*b**3*c*d**3*e**5*x**2/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 45
0*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) - 400*b**3*c*d**2*e**6*x**3/(30*d**6*e**9 + 180*d**5*e**
10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) - 3
00*b**3*c*d*e**7*x**4/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*
e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) - 120*b**3*c*e**8*x**5/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d
**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) + 180*b**2*c**2
*d**6*e**2*log(d/e + x)/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**
2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) + 441*b**2*c**2*d**6*e**2/(30*d**6*e**9 + 180*d**5*e**10*x +
450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) + 1080*b**
2*c**2*d**5*e**3*x*log(d/e + x)/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 +
450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) + 2466*b**2*c**2*d**5*e**3*x/(30*d**6*e**9 + 180*d**5
*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6)
+ 2700*b**2*c**2*d**4*e**4*x**2*log(d/e + x)/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**
3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) + 5625*b**2*c**2*d**4*e**4*x**2/(30*d**
6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5
+ 30*e**15*x**6) + 3600*b**2*c**2*d**3*e**5*x**3*log(d/e + x)/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**
11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) + 6600*b**2*c**2*d**3*
e**5*x**3/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 +
180*d*e**14*x**5 + 30*e**15*x**6) + 2700*b**2*c**2*d**2*e**6*x**4*log(d/e + x)/(30*d**6*e**9 + 180*d**5*e**10
*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) + 405
0*b**2*c**2*d**2*e**6*x**4/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*
d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) + 1080*b**2*c**2*d*e**7*x**5*log(d/e + x)/(30*d**6*e**9 +
180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**
15*x**6) + 1080*b**2*c**2*d*e**7*x**5/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*
x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) + 180*b**2*c**2*e**8*x**6*log(d/e + x)/(30*d**6
*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5
+ 30*e**15*x**6) - 840*b*c**3*d**7*e*log(d/e + x)/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600
*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) - 2058*b*c**3*d**7*e/(30*d**6*e**9
+ 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e
**15*x**6) - 5040*b*c**3*d**6*e**2*x*log(d/e + x)/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600
*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) - 11508*b*c**3*d**6*e**2*x/(30*d**6
*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5
+ 30*e**15*x**6) - 12600*b*c**3*d**5*e**3*x**2*log(d/e + x)/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*
x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) - 26250*b*c**3*d**5*e**3*
x**2/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*
d*e**14*x**5 + 30*e**15*x**6) - 16800*b*c**3*d**4*e**4*x**3*log(d/e + x)/(30*d**6*e**9 + 180*d**5*e**10*x + 45
0*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) - 30800*b*c*
*3*d**4*e**4*x**3/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**1
3*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) - 12600*b*c**3*d**3*e**5*x**4*log(d/e + x)/(30*d**6*e**9 + 180*d**5
*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6)
- 18900*b*c**3*d**3*e**5*x**4/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 +
450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) - 5040*b*c**3*d**2*e**6*x**5*log(d/e + x)/(30*d**6*e**
9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30
*e**15*x**6) - 5040*b*c**3*d**2*e**6*x**5/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e*
*12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) - 840*b*c**3*d*e**7*x**6*log(d/e + x)/(30*d
**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x*
*5 + 30*e**15*x**6) + 120*b*c**3*e**8*x**7/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e
**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) + 840*c**4*d**8*log(d/e + x)/(30*d**6*e**9
+ 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*
e**15*x**6) + 2058*c**4*d**8/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 45
0*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) + 5040*c**4*d**7*e*x*log(d/e + x)/(30*d**6*e**9 + 180*d*
*5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**
6) + 11508*c**4*d**7*e*x/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d*
*2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) + 12600*c**4*d**6*e**2*x**2*log(d/e + x)/(30*d**6*e**9 + 180
*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*
x**6) + 26250*c**4*d**6*e**2*x**2/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3
+ 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) + 16800*c**4*d**5*e**3*x**3*log(d/e + x)/(30*d**6*e
**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 +
30*e**15*x**6) + 30800*c**4*d**5*e**3*x**3/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e
**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) + 12600*c**4*d**4*e**4*x**4*log(d/e + x)/(
30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**1
4*x**5 + 30*e**15*x**6) + 18900*c**4*d**4*e**4*x**4/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 6
00*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) + 5040*c**4*d**3*e**5*x**5*log(d/
e + x)/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 18
0*d*e**14*x**5 + 30*e**15*x**6) + 5040*c**4*d**3*e**5*x**5/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x
**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) + 840*c**4*d**2*e**6*x**6*
log(d/e + x)/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**
4 + 180*d*e**14*x**5 + 30*e**15*x**6) - 120*c**4*d*e**7*x**7/(30*d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11
*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x**5 + 30*e**15*x**6) + 15*c**4*e**8*x**8/(30*
d**6*e**9 + 180*d**5*e**10*x + 450*d**4*e**11*x**2 + 600*d**3*e**12*x**3 + 450*d**2*e**13*x**4 + 180*d*e**14*x
**5 + 30*e**15*x**6), Eq(m, -7)), (-3*a**4*e**8/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d*
*2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) - 3*a**3*b*d*e**7/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*
e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) - 15*a**3*b*e**8*x/(15*d**5*e**9 + 75*d**4
*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) - 2*a**3*c*d**2*e**6/(
15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5)
- 10*a**3*c*d*e**7*x/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*
x**4 + 15*e**14*x**5) - 20*a**3*c*e**8*x**2/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e
**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) - 3*a**2*b**2*d**2*e**6/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**
3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) - 15*a**2*b**2*d*e**7*x/(15*d**5*e**9 +
75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) - 30*a**2*b**2*
e**8*x**2/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e
**14*x**5) - 9*a**2*b*c*d**3*e**5/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3
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x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) - 90*a**2*b*c*d*e**7*x**2/(15*d**5*e**9 + 75*d**
4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) - 90*a**2*b*c*e**8*x*
*3/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x*
*5) - 18*a**2*c**2*d**4*e**4/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*
d*e**13*x**4 + 15*e**14*x**5) - 90*a**2*c**2*d**3*e**5*x/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2
+ 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) - 180*a**2*c**2*d**2*e**6*x**2/(15*d**5*e**9 + 75*d*
*4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) - 180*a**2*c**2*d*e*
*7*x**3/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**
14*x**5) - 90*a**2*c**2*e**8*x**4/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3
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+ 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) - 15*a*b**3*d**2*e**6*x/(15*d**5*e**9 + 75*d**4*e**10
*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) - 30*a*b**3*d*e**7*x**2/(15*
d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) - 3
0*a*b**3*e**8*x**3/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x*
*4 + 15*e**14*x**5) - 36*a*b**2*c*d**4*e**4/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e
**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) - 180*a*b**2*c*d**3*e**5*x/(15*d**5*e**9 + 75*d**4*e**10*x + 150*
d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) - 360*a*b**2*c*d**2*e**6*x**2/(15*d**
5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) - 360*
a*b**2*c*d*e**7*x**3/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*
x**4 + 15*e**14*x**5) - 180*a*b**2*c*e**8*x**4/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**
2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) + 180*a*b*c**2*d**5*e**3*log(d/e + x)/(15*d**5*e**9 + 75*d**4*
e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) + 411*a*b*c**2*d**5*e**
3/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**
5) + 900*a*b*c**2*d**4*e**4*x*log(d/e + x)/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e*
*12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) + 1875*a*b*c**2*d**4*e**4*x/(15*d**5*e**9 + 75*d**4*e**10*x + 150*
d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) + 1800*a*b*c**2*d**3*e**5*x**2*log(d/
e + x)/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**1
4*x**5) + 3300*a*b*c**2*d**3*e**5*x**2/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*
x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) + 1800*a*b*c**2*d**2*e**6*x**3*log(d/e + x)/(15*d**5*e**9 + 75*d**4*e*
*10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) + 2700*a*b*c**2*d**2*e**6
*x**3/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14
*x**5) + 900*a*b*c**2*d*e**7*x**4*log(d/e + x)/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**
2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) + 900*a*b*c**2*d*e**7*x**4/(15*d**5*e**9 + 75*d**4*e**10*x + 1
50*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) + 180*a*b*c**2*e**8*x**5*log(d/e +
x)/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x
**5) - 360*a*c**3*d**6*e**2*log(d/e + x)/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**1
2*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) - 822*a*c**3*d**6*e**2/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e*
*11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) - 1800*a*c**3*d**5*e**3*x*log(d/e + x)/(15*d
**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) - 37
50*a*c**3*d**5*e**3*x/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13
*x**4 + 15*e**14*x**5) - 3600*a*c**3*d**4*e**4*x**2*log(d/e + x)/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e*
*11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) - 6600*a*c**3*d**4*e**4*x**2/(15*d**5*e**9 +
75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) - 3600*a*c**3*
d**3*e**5*x**3*log(d/e + x)/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d
*e**13*x**4 + 15*e**14*x**5) - 5400*a*c**3*d**3*e**5*x**3/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**
2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) - 1800*a*c**3*d**2*e**6*x**4*log(d/e + x)/(15*d**5*
e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) - 1800*a
*c**3*d**2*e**6*x**4/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*
x**4 + 15*e**14*x**5) - 360*a*c**3*d*e**7*x**5*log(d/e + x)/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x
**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) + 60*a*c**3*e**8*x**6/(15*d**5*e**9 + 75*d**4*e**
10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) - 3*b**4*d**4*e**4/(15*d**
5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) - 15*b
**4*d**3*e**5*x/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4
+ 15*e**14*x**5) - 30*b**4*d**2*e**6*x**2/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**
12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) - 30*b**4*d*e**7*x**3/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e*
*11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) - 15*b**4*e**8*x**4/(15*d**5*e**9 + 75*d**4*
e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) + 60*b**3*c*d**5*e**3*l
og(d/e + x)/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15
*e**14*x**5) + 137*b**3*c*d**5*e**3/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**
3 + 75*d*e**13*x**4 + 15*e**14*x**5) + 300*b**3*c*d**4*e**4*x*log(d/e + x)/(15*d**5*e**9 + 75*d**4*e**10*x + 1
50*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) + 625*b**3*c*d**4*e**4*x/(15*d**5*
e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) + 600*b*
*3*c*d**3*e**5*x**2*log(d/e + x)/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 +
75*d*e**13*x**4 + 15*e**14*x**5) + 1100*b**3*c*d**3*e**5*x**2/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**1
1*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) + 600*b**3*c*d**2*e**6*x**3*log(d/e + x)/(15*d
**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) + 90
0*b**3*c*d**2*e**6*x**3/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**
13*x**4 + 15*e**14*x**5) + 300*b**3*c*d*e**7*x**4*log(d/e + x)/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**1
1*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) + 300*b**3*c*d*e**7*x**4/(15*d**5*e**9 + 75*d*
*4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) + 60*b**3*c*e**8*x**
5*log(d/e + x)/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 +
15*e**14*x**5) - 540*b**2*c**2*d**6*e**2*log(d/e + x)/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 +
150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) - 1233*b**2*c**2*d**6*e**2/(15*d**5*e**9 + 75*d**4*e**
10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) - 2700*b**2*c**2*d**5*e**3
*x*log(d/e + x)/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4
+ 15*e**14*x**5) - 5625*b**2*c**2*d**5*e**3*x/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2
*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) - 5400*b**2*c**2*d**4*e**4*x**2*log(d/e + x)/(15*d**5*e**9 + 75
*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) - 9900*b**2*c**2*
d**4*e**4*x**2/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 +
15*e**14*x**5) - 5400*b**2*c**2*d**3*e**5*x**3*log(d/e + x)/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*
x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) - 8100*b**2*c**2*d**3*e**5*x**3/(15*d**5*e**9 +
75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) - 2700*b**2*c**
2*d**2*e**6*x**4*log(d/e + x)/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75
*d*e**13*x**4 + 15*e**14*x**5) - 2700*b**2*c**2*d**2*e**6*x**4/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**1
1*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) - 540*b**2*c**2*d*e**7*x**5*log(d/e + x)/(15*d
**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) + 90
*b**2*c**2*e**8*x**6/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*
x**4 + 15*e**14*x**5) + 1260*b*c**3*d**7*e*log(d/e + x)/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2
+ 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) + 2877*b*c**3*d**7*e/(15*d**5*e**9 + 75*d**4*e**10*x
+ 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) + 6300*b*c**3*d**6*e**2*x*log(d
/e + x)/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**
14*x**5) + 13125*b*c**3*d**6*e**2*x/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**
3 + 75*d*e**13*x**4 + 15*e**14*x**5) + 12600*b*c**3*d**5*e**3*x**2*log(d/e + x)/(15*d**5*e**9 + 75*d**4*e**10*
x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) + 23100*b*c**3*d**5*e**3*x**2
/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5
) + 12600*b*c**3*d**4*e**4*x**3*log(d/e + x)/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*
e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) + 18900*b*c**3*d**4*e**4*x**3/(15*d**5*e**9 + 75*d**4*e**10*x +
150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) + 6300*b*c**3*d**3*e**5*x**4*log(
d/e + x)/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e*
*14*x**5) + 6300*b*c**3*d**3*e**5*x**4/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*
x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) + 1260*b*c**3*d**2*e**6*x**5*log(d/e + x)/(15*d**5*e**9 + 75*d**4*e**1
0*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) - 210*b*c**3*d*e**7*x**6/(1
5*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) +
30*b*c**3*e**8*x**7/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*
x**4 + 15*e**14*x**5) - 840*c**4*d**8*log(d/e + x)/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150
*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) - 1918*c**4*d**8/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**
3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) - 4200*c**4*d**7*e*x*log(d/e + x)/(15*d*
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0*c**4*d**7*e*x/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4
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e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) - 8400*c**4*d**5*e**3*x
**3*log(d/e + x)/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4
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*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) - 4200*c**4*d**4*e**4*x**4*log(d/e + x)/(15*d**5*e**9 + 75*d**4
*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) - 4200*c**4*d**4*e**4*
x**4/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*
x**5) - 840*c**4*d**3*e**5*x**5*log(d/e + x)/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*
e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) + 140*c**4*d**2*e**6*x**6/(15*d**5*e**9 + 75*d**4*e**10*x + 150*
d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) - 20*c**4*d*e**7*x**7/(15*d**5*e**9 +
75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*x**5) + 5*c**4*e**8*
x**8/(15*d**5*e**9 + 75*d**4*e**10*x + 150*d**3*e**11*x**2 + 150*d**2*e**12*x**3 + 75*d*e**13*x**4 + 15*e**14*
x**5), Eq(m, -6)), (-3*a**4*e**8/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e
**13*x**4) - 4*a**3*b*d*e**7/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13
*x**4) - 16*a**3*b*e**8*x/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x*
*4) - 4*a**3*c*d**2*e**6/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**
4) - 16*a**3*c*d*e**7*x/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4
) - 24*a**3*c*e**8*x**2/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4
) - 6*a**2*b**2*d**2*e**6/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x*
*4) - 24*a**2*b**2*d*e**7*x/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*
x**4) - 36*a**2*b**2*e**8*x**2/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**
13*x**4) - 36*a**2*b*c*d**3*e**5/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e
**13*x**4) - 144*a**2*b*c*d**2*e**6*x/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 +
12*e**13*x**4) - 216*a**2*b*c*d*e**7*x**2/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x
**3 + 12*e**13*x**4) - 144*a**2*b*c*e**8*x**3/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**1
2*x**3 + 12*e**13*x**4) + 72*a**2*c**2*d**4*e**4*log(d/e + x)/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*
x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) + 150*a**2*c**2*d**4*e**4/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e*
*11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) + 288*a**2*c**2*d**3*e**5*x*log(d/e + x)/(12*d**4*e**9 + 48*d**3*e
**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) + 528*a**2*c**2*d**3*e**5*x/(12*d**4*e**9 + 48*
d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) + 432*a**2*c**2*d**2*e**6*x**2*log(d/e +
x)/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) + 648*a**2*c**2*d**
2*e**6*x**2/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) + 288*a**2
*c**2*d*e**7*x**3*log(d/e + x)/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**
13*x**4) + 288*a**2*c**2*d*e**7*x**3/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 +
12*e**13*x**4) + 72*a**2*c**2*e**8*x**4*log(d/e + x)/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48
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*d*e**12*x**3 + 12*e**13*x**4) - 48*a*b**3*d**2*e**6*x/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 +
48*d*e**12*x**3 + 12*e**13*x**4) - 72*a*b**3*d*e**7*x**2/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2
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+ 48*d*e**12*x**3 + 12*e**13*x**4) + 144*a*b**2*c*d**4*e**4*log(d/e + x)/(12*d**4*e**9 + 48*d**3*e**10*x + 72*
d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) + 300*a*b**2*c*d**4*e**4/(12*d**4*e**9 + 48*d**3*e**10*x +
72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) + 576*a*b**2*c*d**3*e**5*x*log(d/e + x)/(12*d**4*e**9 +
48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) + 1056*a*b**2*c*d**3*e**5*x/(12*d**4*e
**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) + 864*a*b**2*c*d**2*e**6*x**2*lo
g(d/e + x)/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) + 1296*a*b*
*2*c*d**2*e**6*x**2/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) +
576*a*b**2*c*d*e**7*x**3*log(d/e + x)/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 +
12*e**13*x**4) + 576*a*b**2*c*d*e**7*x**3/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x
**3 + 12*e**13*x**4) + 144*a*b**2*c*e**8*x**4*log(d/e + x)/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**
2 + 48*d*e**12*x**3 + 12*e**13*x**4) - 720*a*b*c**2*d**5*e**3*log(d/e + x)/(12*d**4*e**9 + 48*d**3*e**10*x + 7
2*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) - 1500*a*b*c**2*d**5*e**3/(12*d**4*e**9 + 48*d**3*e**10*x
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9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) - 5280*a*b*c**2*d**4*e**4*x/(12*d*
*4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) - 4320*a*b*c**2*d**3*e**5*x*
*2*log(d/e + x)/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) - 6480
*a*b*c**2*d**3*e**5*x**2/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**
4) - 2880*a*b*c**2*d**2*e**6*x**3*log(d/e + x)/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**
12*x**3 + 12*e**13*x**4) - 2880*a*b*c**2*d**2*e**6*x**3/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 +
48*d*e**12*x**3 + 12*e**13*x**4) - 720*a*b*c**2*d*e**7*x**4*log(d/e + x)/(12*d**4*e**9 + 48*d**3*e**10*x + 72
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72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) + 720*a*c**3*d**6*e**2*log(d/e + x)/(12*d**4*e**9 + 48*
d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) + 1500*a*c**3*d**6*e**2/(12*d**4*e**9 + 4
8*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) + 2880*a*c**3*d**5*e**3*x*log(d/e + x)/
(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) + 5280*a*c**3*d**5*e**
3*x/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) + 4320*a*c**3*d**4
*e**4*x**2*log(d/e + x)/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4
) + 6480*a*c**3*d**4*e**4*x**2/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**
13*x**4) + 2880*a*c**3*d**3*e**5*x**3*log(d/e + x)/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d
*e**12*x**3 + 12*e**13*x**4) + 2880*a*c**3*d**3*e**5*x**3/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2
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72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) - 144*a*c**3*d*e**7*x**5/(12*d**4*e**9 + 48*d**3*e**10*
x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) + 24*a*c**3*e**8*x**6/(12*d**4*e**9 + 48*d**3*e**10*
x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) + 12*b**4*d**4*e**4*log(d/e + x)/(12*d**4*e**9 + 48*
d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) + 25*b**4*d**4*e**4/(12*d**4*e**9 + 48*d*
*3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) + 48*b**4*d**3*e**5*x*log(d/e + x)/(12*d**4
*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) + 88*b**4*d**3*e**5*x/(12*d**4
*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) + 72*b**4*d**2*e**6*x**2*log(d
/e + x)/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) + 108*b**4*d**
2*e**6*x**2/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) + 48*b**4*
d*e**7*x**3*log(d/e + x)/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**
4) + 48*b**4*d*e**7*x**3/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**
4) + 12*b**4*e**8*x**4*log(d/e + x)/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 1
2*e**13*x**4) - 240*b**3*c*d**5*e**3*log(d/e + x)/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*
e**12*x**3 + 12*e**13*x**4) - 500*b**3*c*d**5*e**3/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d
*e**12*x**3 + 12*e**13*x**4) - 960*b**3*c*d**4*e**4*x*log(d/e + x)/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e
**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) - 1760*b**3*c*d**4*e**4*x/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d*
*2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) - 1440*b**3*c*d**3*e**5*x**2*log(d/e + x)/(12*d**4*e**9 + 48*
d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) - 2160*b**3*c*d**3*e**5*x**2/(12*d**4*e**
9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) - 960*b**3*c*d**2*e**6*x**3*log(d/
e + x)/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) - 960*b**3*c*d*
*2*e**6*x**3/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) - 240*b**
3*c*d*e**7*x**4*log(d/e + x)/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13
*x**4) + 48*b**3*c*e**8*x**5/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13
*x**4) + 1080*b**2*c**2*d**6*e**2*log(d/e + x)/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**
12*x**3 + 12*e**13*x**4) + 2250*b**2*c**2*d**6*e**2/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*
d*e**12*x**3 + 12*e**13*x**4) + 4320*b**2*c**2*d**5*e**3*x*log(d/e + x)/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d
**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) + 7920*b**2*c**2*d**5*e**3*x/(12*d**4*e**9 + 48*d**3*e**10*x
+ 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) + 6480*b**2*c**2*d**4*e**4*x**2*log(d/e + x)/(12*d**4
*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) + 9720*b**2*c**2*d**4*e**4*x**
2/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) + 4320*b**2*c**2*d**
3*e**5*x**3*log(d/e + x)/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**
4) + 4320*b**2*c**2*d**3*e**5*x**3/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12
*e**13*x**4) + 1080*b**2*c**2*d**2*e**6*x**4*log(d/e + x)/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2
+ 48*d*e**12*x**3 + 12*e**13*x**4) - 216*b**2*c**2*d*e**7*x**5/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**1
1*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) + 36*b**2*c**2*e**8*x**6/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e
**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) - 1680*b*c**3*d**7*e*log(d/e + x)/(12*d**4*e**9 + 48*d**3*e**10*x
+ 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) - 3500*b*c**3*d**7*e/(12*d**4*e**9 + 48*d**3*e**10*x
+ 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) - 6720*b*c**3*d**6*e**2*x*log(d/e + x)/(12*d**4*e**9 +
48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) - 12320*b*c**3*d**6*e**2*x/(12*d**4*e
**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) - 10080*b*c**3*d**5*e**3*x**2*lo
g(d/e + x)/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) - 15120*b*c
**3*d**5*e**3*x**2/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) - 6
720*b*c**3*d**4*e**4*x**3*log(d/e + x)/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3
+ 12*e**13*x**4) - 6720*b*c**3*d**4*e**4*x**3/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**1
2*x**3 + 12*e**13*x**4) - 1680*b*c**3*d**3*e**5*x**4*log(d/e + x)/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e*
*11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) + 336*b*c**3*d**2*e**6*x**5/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d
**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) - 56*b*c**3*d*e**7*x**6/(12*d**4*e**9 + 48*d**3*e**10*x + 72
*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) + 16*b*c**3*e**8*x**7/(12*d**4*e**9 + 48*d**3*e**10*x + 72
*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) + 840*c**4*d**8*log(d/e + x)/(12*d**4*e**9 + 48*d**3*e**10
*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) + 1750*c**4*d**8/(12*d**4*e**9 + 48*d**3*e**10*x +
72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) + 3360*c**4*d**7*e*x*log(d/e + x)/(12*d**4*e**9 + 48*d**
3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) + 6160*c**4*d**7*e*x/(12*d**4*e**9 + 48*d**3
*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) + 5040*c**4*d**6*e**2*x**2*log(d/e + x)/(12*d
**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) + 7560*c**4*d**6*e**2*x**2/
(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) + 3360*c**4*d**5*e**3*
x**3*log(d/e + x)/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4) + 33
60*c**4*d**5*e**3*x**3/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3 + 12*e**13*x**4)
+ 840*c**4*d**4*e**4*x**4*log(d/e + x)/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x**3
+ 12*e**13*x**4) - 168*c**4*d**3*e**5*x**5/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*
x**3 + 12*e**13*x**4) + 28*c**4*d**2*e**6*x**6/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**
12*x**3 + 12*e**13*x**4) - 8*c**4*d*e**7*x**7/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**1
2*x**3 + 12*e**13*x**4) + 3*c**4*e**8*x**8/(12*d**4*e**9 + 48*d**3*e**10*x + 72*d**2*e**11*x**2 + 48*d*e**12*x
**3 + 12*e**13*x**4), Eq(m, -5)), (-5*a**4*e**8/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x
**3) - 10*a**3*b*d*e**7/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) - 30*a**3*b*e**8*x/
(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) - 20*a**3*c*d**2*e**6/(15*d**3*e**9 + 45*d*
*2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) - 60*a**3*c*d*e**7*x/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**1
1*x**2 + 15*e**12*x**3) - 60*a**3*c*e**8*x**2/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**
3) - 30*a**2*b**2*d**2*e**6/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) - 90*a**2*b**2*
d*e**7*x/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) - 90*a**2*b**2*e**8*x**2/(15*d**3*
e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) + 180*a**2*b*c*d**3*e**5*log(d/e + x)/(15*d**3*e**9
+ 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) + 330*a**2*b*c*d**3*e**5/(15*d**3*e**9 + 45*d**2*e**10*x
+ 45*d*e**11*x**2 + 15*e**12*x**3) + 540*a**2*b*c*d**2*e**6*x*log(d/e + x)/(15*d**3*e**9 + 45*d**2*e**10*x + 4
5*d*e**11*x**2 + 15*e**12*x**3) + 810*a**2*b*c*d**2*e**6*x/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 +
15*e**12*x**3) + 540*a**2*b*c*d*e**7*x**2*log(d/e + x)/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15
*e**12*x**3) + 540*a**2*b*c*d*e**7*x**2/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) + 1
80*a**2*b*c*e**8*x**3*log(d/e + x)/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) - 360*a*
*2*c**2*d**4*e**4*log(d/e + x)/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) - 660*a**2*c
**2*d**4*e**4/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) - 1080*a**2*c**2*d**3*e**5*x*
log(d/e + x)/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) - 1620*a**2*c**2*d**3*e**5*x/(
15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) - 1080*a**2*c**2*d**2*e**6*x**2*log(d/e + x)
/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) - 1080*a**2*c**2*d**2*e**6*x**2/(15*d**3*e
**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) - 360*a**2*c**2*d*e**7*x**3*log(d/e + x)/(15*d**3*e**
9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) + 90*a**2*c**2*e**8*x**4/(15*d**3*e**9 + 45*d**2*e**10*
x + 45*d*e**11*x**2 + 15*e**12*x**3) + 60*a*b**3*d**3*e**5*log(d/e + x)/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d
*e**11*x**2 + 15*e**12*x**3) + 110*a*b**3*d**3*e**5/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**
12*x**3) + 180*a*b**3*d**2*e**6*x*log(d/e + x)/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x*
*3) + 270*a*b**3*d**2*e**6*x/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) + 180*a*b**3*d
*e**7*x**2*log(d/e + x)/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) + 180*a*b**3*d*e**7
*x**2/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) + 60*a*b**3*e**8*x**3*log(d/e + x)/(1
5*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) - 720*a*b**2*c*d**4*e**4*log(d/e + x)/(15*d**
3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) - 1320*a*b**2*c*d**4*e**4/(15*d**3*e**9 + 45*d**2*
e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) - 2160*a*b**2*c*d**3*e**5*x*log(d/e + x)/(15*d**3*e**9 + 45*d**2*e*
*10*x + 45*d*e**11*x**2 + 15*e**12*x**3) - 3240*a*b**2*c*d**3*e**5*x/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e*
*11*x**2 + 15*e**12*x**3) - 2160*a*b**2*c*d**2*e**6*x**2*log(d/e + x)/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e
**11*x**2 + 15*e**12*x**3) - 2160*a*b**2*c*d**2*e**6*x**2/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 +
15*e**12*x**3) - 720*a*b**2*c*d*e**7*x**3*log(d/e + x)/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*
e**12*x**3) + 180*a*b**2*c*e**8*x**4/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) + 1800
*a*b*c**2*d**5*e**3*log(d/e + x)/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) + 3300*a*b
*c**2*d**5*e**3/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) + 5400*a*b*c**2*d**4*e**4*x
*log(d/e + x)/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) + 8100*a*b*c**2*d**4*e**4*x/(
15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) + 5400*a*b*c**2*d**3*e**5*x**2*log(d/e + x)/
(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) + 5400*a*b*c**2*d**3*e**5*x**2/(15*d**3*e**
9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) + 1800*a*b*c**2*d**2*e**6*x**3*log(d/e + x)/(15*d**3*e*
*9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) - 450*a*b*c**2*d*e**7*x**4/(15*d**3*e**9 + 45*d**2*e**
10*x + 45*d*e**11*x**2 + 15*e**12*x**3) + 90*a*b*c**2*e**8*x**5/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x
**2 + 15*e**12*x**3) - 1200*a*c**3*d**6*e**2*log(d/e + x)/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 +
15*e**12*x**3) - 2200*a*c**3*d**6*e**2/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) - 36
00*a*c**3*d**5*e**3*x*log(d/e + x)/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) - 5400*a
*c**3*d**5*e**3*x/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) - 3600*a*c**3*d**4*e**4*x
**2*log(d/e + x)/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) - 3600*a*c**3*d**4*e**4*x*
*2/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) - 1200*a*c**3*d**3*e**5*x**3*log(d/e + x
)/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) + 300*a*c**3*d**2*e**6*x**4/(15*d**3*e**9
+ 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) - 60*a*c**3*d*e**7*x**5/(15*d**3*e**9 + 45*d**2*e**10*x
+ 45*d*e**11*x**2 + 15*e**12*x**3) + 20*a*c**3*e**8*x**6/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 1
5*e**12*x**3) - 60*b**4*d**4*e**4*log(d/e + x)/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x*
*3) - 110*b**4*d**4*e**4/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) - 180*b**4*d**3*e*
*5*x*log(d/e + x)/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) - 270*b**4*d**3*e**5*x/(1
5*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) - 180*b**4*d**2*e**6*x**2*log(d/e + x)/(15*d*
*3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) - 180*b**4*d**2*e**6*x**2/(15*d**3*e**9 + 45*d**2
*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) - 60*b**4*d*e**7*x**3*log(d/e + x)/(15*d**3*e**9 + 45*d**2*e**10*x
+ 45*d*e**11*x**2 + 15*e**12*x**3) + 15*b**4*e**8*x**4/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15
*e**12*x**3) + 600*b**3*c*d**5*e**3*log(d/e + x)/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*
x**3) + 1100*b**3*c*d**5*e**3/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) + 1800*b**3*c
*d**4*e**4*x*log(d/e + x)/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) + 2700*b**3*c*d**
4*e**4*x/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) + 1800*b**3*c*d**3*e**5*x**2*log(d
/e + x)/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) + 1800*b**3*c*d**3*e**5*x**2/(15*d*
*3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) + 600*b**3*c*d**2*e**6*x**3*log(d/e + x)/(15*d**3
*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) - 150*b**3*c*d*e**7*x**4/(15*d**3*e**9 + 45*d**2*e*
*10*x + 45*d*e**11*x**2 + 15*e**12*x**3) + 30*b**3*c*e**8*x**5/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x*
*2 + 15*e**12*x**3) - 1800*b**2*c**2*d**6*e**2*log(d/e + x)/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2
+ 15*e**12*x**3) - 3300*b**2*c**2*d**6*e**2/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3)
- 5400*b**2*c**2*d**5*e**3*x*log(d/e + x)/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3)
- 8100*b**2*c**2*d**5*e**3*x/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) - 5400*b**2*c*
*2*d**4*e**4*x**2*log(d/e + x)/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) - 5400*b**2*
c**2*d**4*e**4*x**2/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) - 1800*b**2*c**2*d**3*e
**5*x**3*log(d/e + x)/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) + 450*b**2*c**2*d**2*
e**6*x**4/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) - 90*b**2*c**2*d*e**7*x**5/(15*d*
*3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) + 30*b**2*c**2*e**8*x**6/(15*d**3*e**9 + 45*d**2*
e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) + 2100*b*c**3*d**7*e*log(d/e + x)/(15*d**3*e**9 + 45*d**2*e**10*x +
45*d*e**11*x**2 + 15*e**12*x**3) + 3850*b*c**3*d**7*e/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*
e**12*x**3) + 6300*b*c**3*d**6*e**2*x*log(d/e + x)/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**1
2*x**3) + 9450*b*c**3*d**6*e**2*x/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) + 6300*b*
c**3*d**5*e**3*x**2*log(d/e + x)/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) + 6300*b*c
**3*d**5*e**3*x**2/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) + 2100*b*c**3*d**4*e**4*
x**3*log(d/e + x)/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) - 525*b*c**3*d**3*e**5*x*
*4/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) + 105*b*c**3*d**2*e**6*x**5/(15*d**3*e**
9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) - 35*b*c**3*d*e**7*x**6/(15*d**3*e**9 + 45*d**2*e**10*x
+ 45*d*e**11*x**2 + 15*e**12*x**3) + 15*b*c**3*e**8*x**7/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 +
15*e**12*x**3) - 840*c**4*d**8*log(d/e + x)/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3)
- 1540*c**4*d**8/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) - 2520*c**4*d**7*e*x*log(
d/e + x)/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) - 3780*c**4*d**7*e*x/(15*d**3*e**9
+ 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) - 2520*c**4*d**6*e**2*x**2*log(d/e + x)/(15*d**3*e**9 +
45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) - 2520*c**4*d**6*e**2*x**2/(15*d**3*e**9 + 45*d**2*e**10*x
+ 45*d*e**11*x**2 + 15*e**12*x**3) - 840*c**4*d**5*e**3*x**3*log(d/e + x)/(15*d**3*e**9 + 45*d**2*e**10*x + 45
*d*e**11*x**2 + 15*e**12*x**3) + 210*c**4*d**4*e**4*x**4/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 1
5*e**12*x**3) - 42*c**4*d**3*e**5*x**5/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) + 14
*c**4*d**2*e**6*x**6/(15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) - 6*c**4*d*e**7*x**7/(
15*d**3*e**9 + 45*d**2*e**10*x + 45*d*e**11*x**2 + 15*e**12*x**3) + 3*c**4*e**8*x**8/(15*d**3*e**9 + 45*d**2*e
**10*x + 45*d*e**11*x**2 + 15*e**12*x**3), Eq(m, -4)), (-15*a**4*e**8/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*
x**2) - 60*a**3*b*d*e**7/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) - 120*a**3*b*e**8*x/(30*d**2*e**9 + 60*
d*e**10*x + 30*e**11*x**2) + 120*a**3*c*d**2*e**6*log(d/e + x)/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) +
180*a**3*c*d**2*e**6/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) + 240*a**3*c*d*e**7*x*log(d/e + x)/(30*d**
2*e**9 + 60*d*e**10*x + 30*e**11*x**2) + 240*a**3*c*d*e**7*x/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) + 1
20*a**3*c*e**8*x**2*log(d/e + x)/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) + 180*a**2*b**2*d**2*e**6*log(d
/e + x)/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) + 270*a**2*b**2*d**2*e**6/(30*d**2*e**9 + 60*d*e**10*x +
30*e**11*x**2) + 360*a**2*b**2*d*e**7*x*log(d/e + x)/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) + 360*a**2
*b**2*d*e**7*x/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) + 180*a**2*b**2*e**8*x**2*log(d/e + x)/(30*d**2*e
**9 + 60*d*e**10*x + 30*e**11*x**2) - 1080*a**2*b*c*d**3*e**5*log(d/e + x)/(30*d**2*e**9 + 60*d*e**10*x + 30*e
**11*x**2) - 1620*a**2*b*c*d**3*e**5/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) - 2160*a**2*b*c*d**2*e**6*x
*log(d/e + x)/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) - 2160*a**2*b*c*d**2*e**6*x/(30*d**2*e**9 + 60*d*e
**10*x + 30*e**11*x**2) - 1080*a**2*b*c*d*e**7*x**2*log(d/e + x)/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2)
+ 360*a**2*b*c*e**8*x**3/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) + 1080*a**2*c**2*d**4*e**4*log(d/e + x
)/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) + 1620*a**2*c**2*d**4*e**4/(30*d**2*e**9 + 60*d*e**10*x + 30*e
**11*x**2) + 2160*a**2*c**2*d**3*e**5*x*log(d/e + x)/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) + 2160*a**2
*c**2*d**3*e**5*x/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) + 1080*a**2*c**2*d**2*e**6*x**2*log(d/e + x)/(
30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) - 360*a**2*c**2*d*e**7*x**3/(30*d**2*e**9 + 60*d*e**10*x + 30*e**
11*x**2) + 90*a**2*c**2*e**8*x**4/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) - 360*a*b**3*d**3*e**5*log(d/e
+ x)/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) - 540*a*b**3*d**3*e**5/(30*d**2*e**9 + 60*d*e**10*x + 30*e
**11*x**2) - 720*a*b**3*d**2*e**6*x*log(d/e + x)/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) - 720*a*b**3*d*
*2*e**6*x/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) - 360*a*b**3*d*e**7*x**2*log(d/e + x)/(30*d**2*e**9 +
60*d*e**10*x + 30*e**11*x**2) + 120*a*b**3*e**8*x**3/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) + 2160*a*b*
*2*c*d**4*e**4*log(d/e + x)/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) + 3240*a*b**2*c*d**4*e**4/(30*d**2*e
**9 + 60*d*e**10*x + 30*e**11*x**2) + 4320*a*b**2*c*d**3*e**5*x*log(d/e + x)/(30*d**2*e**9 + 60*d*e**10*x + 30
*e**11*x**2) + 4320*a*b**2*c*d**3*e**5*x/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) + 2160*a*b**2*c*d**2*e*
*6*x**2*log(d/e + x)/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) - 720*a*b**2*c*d*e**7*x**3/(30*d**2*e**9 +
60*d*e**10*x + 30*e**11*x**2) + 180*a*b**2*c*e**8*x**4/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) - 3600*a*
b*c**2*d**5*e**3*log(d/e + x)/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) - 5400*a*b*c**2*d**5*e**3/(30*d**2
*e**9 + 60*d*e**10*x + 30*e**11*x**2) - 7200*a*b*c**2*d**4*e**4*x*log(d/e + x)/(30*d**2*e**9 + 60*d*e**10*x +
30*e**11*x**2) - 7200*a*b*c**2*d**4*e**4*x/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) - 3600*a*b*c**2*d**3*
e**5*x**2*log(d/e + x)/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) + 1200*a*b*c**2*d**2*e**6*x**3/(30*d**2*e
**9 + 60*d*e**10*x + 30*e**11*x**2) - 300*a*b*c**2*d*e**7*x**4/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) +
120*a*b*c**2*e**8*x**5/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) + 1800*a*c**3*d**6*e**2*log(d/e + x)/(30
*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) + 2700*a*c**3*d**6*e**2/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**
2) + 3600*a*c**3*d**5*e**3*x*log(d/e + x)/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) + 3600*a*c**3*d**5*e**
3*x/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) + 1800*a*c**3*d**4*e**4*x**2*log(d/e + x)/(30*d**2*e**9 + 60
*d*e**10*x + 30*e**11*x**2) - 600*a*c**3*d**3*e**5*x**3/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) + 150*a*
c**3*d**2*e**6*x**4/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) - 60*a*c**3*d*e**7*x**5/(30*d**2*e**9 + 60*d
*e**10*x + 30*e**11*x**2) + 30*a*c**3*e**8*x**6/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) + 180*b**4*d**4*
e**4*log(d/e + x)/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) + 270*b**4*d**4*e**4/(30*d**2*e**9 + 60*d*e**1
0*x + 30*e**11*x**2) + 360*b**4*d**3*e**5*x*log(d/e + x)/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) + 360*b
**4*d**3*e**5*x/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) + 180*b**4*d**2*e**6*x**2*log(d/e + x)/(30*d**2*
e**9 + 60*d*e**10*x + 30*e**11*x**2) - 60*b**4*d*e**7*x**3/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) + 15*
b**4*e**8*x**4/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) - 1200*b**3*c*d**5*e**3*log(d/e + x)/(30*d**2*e**
9 + 60*d*e**10*x + 30*e**11*x**2) - 1800*b**3*c*d**5*e**3/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) - 2400
*b**3*c*d**4*e**4*x*log(d/e + x)/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) - 2400*b**3*c*d**4*e**4*x/(30*d
**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) - 1200*b**3*c*d**3*e**5*x**2*log(d/e + x)/(30*d**2*e**9 + 60*d*e**10*
x + 30*e**11*x**2) + 400*b**3*c*d**2*e**6*x**3/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) - 100*b**3*c*d*e*
*7*x**4/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) + 40*b**3*c*e**8*x**5/(30*d**2*e**9 + 60*d*e**10*x + 30*
e**11*x**2) + 2700*b**2*c**2*d**6*e**2*log(d/e + x)/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) + 4050*b**2*
c**2*d**6*e**2/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) + 5400*b**2*c**2*d**5*e**3*x*log(d/e + x)/(30*d**
2*e**9 + 60*d*e**10*x + 30*e**11*x**2) + 5400*b**2*c**2*d**5*e**3*x/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x*
*2) + 2700*b**2*c**2*d**4*e**4*x**2*log(d/e + x)/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) - 900*b**2*c**2
*d**3*e**5*x**3/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) + 225*b**2*c**2*d**2*e**6*x**4/(30*d**2*e**9 + 6
0*d*e**10*x + 30*e**11*x**2) - 90*b**2*c**2*d*e**7*x**5/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) + 45*b**
2*c**2*e**8*x**6/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) - 2520*b*c**3*d**7*e*log(d/e + x)/(30*d**2*e**9
+ 60*d*e**10*x + 30*e**11*x**2) - 3780*b*c**3*d**7*e/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) - 5040*b*c
**3*d**6*e**2*x*log(d/e + x)/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) - 5040*b*c**3*d**6*e**2*x/(30*d**2*
e**9 + 60*d*e**10*x + 30*e**11*x**2) - 2520*b*c**3*d**5*e**3*x**2*log(d/e + x)/(30*d**2*e**9 + 60*d*e**10*x +
30*e**11*x**2) + 840*b*c**3*d**4*e**4*x**3/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) - 210*b*c**3*d**3*e**
5*x**4/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) + 84*b*c**3*d**2*e**6*x**5/(30*d**2*e**9 + 60*d*e**10*x +
30*e**11*x**2) - 42*b*c**3*d*e**7*x**6/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) + 24*b*c**3*e**8*x**7/(3
0*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) + 840*c**4*d**8*log(d/e + x)/(30*d**2*e**9 + 60*d*e**10*x + 30*e**
11*x**2) + 1260*c**4*d**8/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) + 1680*c**4*d**7*e*x*log(d/e + x)/(30*
d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) + 1680*c**4*d**7*e*x/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) +
840*c**4*d**6*e**2*x**2*log(d/e + x)/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) - 280*c**4*d**5*e**3*x**3/
(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) + 70*c**4*d**4*e**4*x**4/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11
*x**2) - 28*c**4*d**3*e**5*x**5/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) + 14*c**4*d**2*e**6*x**6/(30*d**
2*e**9 + 60*d*e**10*x + 30*e**11*x**2) - 8*c**4*d*e**7*x**7/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2) + 5*
c**4*e**8*x**8/(30*d**2*e**9 + 60*d*e**10*x + 30*e**11*x**2), Eq(m, -3)), (-105*a**4*e**8/(105*d*e**9 + 105*e*
*10*x) + 420*a**3*b*d*e**7*log(d/e + x)/(105*d*e**9 + 105*e**10*x) + 420*a**3*b*d*e**7/(105*d*e**9 + 105*e**10
*x) + 420*a**3*b*e**8*x*log(d/e + x)/(105*d*e**9 + 105*e**10*x) - 840*a**3*c*d**2*e**6*log(d/e + x)/(105*d*e**
9 + 105*e**10*x) - 840*a**3*c*d**2*e**6/(105*d*e**9 + 105*e**10*x) - 840*a**3*c*d*e**7*x*log(d/e + x)/(105*d*e
**9 + 105*e**10*x) + 420*a**3*c*e**8*x**2/(105*d*e**9 + 105*e**10*x) - 1260*a**2*b**2*d**2*e**6*log(d/e + x)/(
105*d*e**9 + 105*e**10*x) - 1260*a**2*b**2*d**2*e**6/(105*d*e**9 + 105*e**10*x) - 1260*a**2*b**2*d*e**7*x*log(
d/e + x)/(105*d*e**9 + 105*e**10*x) + 630*a**2*b**2*e**8*x**2/(105*d*e**9 + 105*e**10*x) + 3780*a**2*b*c*d**3*
e**5*log(d/e + x)/(105*d*e**9 + 105*e**10*x) + 3780*a**2*b*c*d**3*e**5/(105*d*e**9 + 105*e**10*x) + 3780*a**2*
b*c*d**2*e**6*x*log(d/e + x)/(105*d*e**9 + 105*e**10*x) - 1890*a**2*b*c*d*e**7*x**2/(105*d*e**9 + 105*e**10*x)
+ 630*a**2*b*c*e**8*x**3/(105*d*e**9 + 105*e**10*x) - 2520*a**2*c**2*d**4*e**4*log(d/e + x)/(105*d*e**9 + 105
*e**10*x) - 2520*a**2*c**2*d**4*e**4/(105*d*e**9 + 105*e**10*x) - 2520*a**2*c**2*d**3*e**5*x*log(d/e + x)/(105
*d*e**9 + 105*e**10*x) + 1260*a**2*c**2*d**2*e**6*x**2/(105*d*e**9 + 105*e**10*x) - 420*a**2*c**2*d*e**7*x**3/
(105*d*e**9 + 105*e**10*x) + 210*a**2*c**2*e**8*x**4/(105*d*e**9 + 105*e**10*x) + 1260*a*b**3*d**3*e**5*log(d/
e + x)/(105*d*e**9 + 105*e**10*x) + 1260*a*b**3*d**3*e**5/(105*d*e**9 + 105*e**10*x) + 1260*a*b**3*d**2*e**6*x
*log(d/e + x)/(105*d*e**9 + 105*e**10*x) - 630*a*b**3*d*e**7*x**2/(105*d*e**9 + 105*e**10*x) + 210*a*b**3*e**8
*x**3/(105*d*e**9 + 105*e**10*x) - 5040*a*b**2*c*d**4*e**4*log(d/e + x)/(105*d*e**9 + 105*e**10*x) - 5040*a*b*
*2*c*d**4*e**4/(105*d*e**9 + 105*e**10*x) - 5040*a*b**2*c*d**3*e**5*x*log(d/e + x)/(105*d*e**9 + 105*e**10*x)
+ 2520*a*b**2*c*d**2*e**6*x**2/(105*d*e**9 + 105*e**10*x) - 840*a*b**2*c*d*e**7*x**3/(105*d*e**9 + 105*e**10*x
) + 420*a*b**2*c*e**8*x**4/(105*d*e**9 + 105*e**10*x) + 6300*a*b*c**2*d**5*e**3*log(d/e + x)/(105*d*e**9 + 105
*e**10*x) + 6300*a*b*c**2*d**5*e**3/(105*d*e**9 + 105*e**10*x) + 6300*a*b*c**2*d**4*e**4*x*log(d/e + x)/(105*d
*e**9 + 105*e**10*x) - 3150*a*b*c**2*d**3*e**5*x**2/(105*d*e**9 + 105*e**10*x) + 1050*a*b*c**2*d**2*e**6*x**3/
(105*d*e**9 + 105*e**10*x) - 525*a*b*c**2*d*e**7*x**4/(105*d*e**9 + 105*e**10*x) + 315*a*b*c**2*e**8*x**5/(105
*d*e**9 + 105*e**10*x) - 2520*a*c**3*d**6*e**2*log(d/e + x)/(105*d*e**9 + 105*e**10*x) - 2520*a*c**3*d**6*e**2
/(105*d*e**9 + 105*e**10*x) - 2520*a*c**3*d**5*e**3*x*log(d/e + x)/(105*d*e**9 + 105*e**10*x) + 1260*a*c**3*d*
*4*e**4*x**2/(105*d*e**9 + 105*e**10*x) - 420*a*c**3*d**3*e**5*x**3/(105*d*e**9 + 105*e**10*x) + 210*a*c**3*d*
*2*e**6*x**4/(105*d*e**9 + 105*e**10*x) - 126*a*c**3*d*e**7*x**5/(105*d*e**9 + 105*e**10*x) + 84*a*c**3*e**8*x
**6/(105*d*e**9 + 105*e**10*x) - 420*b**4*d**4*e**4*log(d/e + x)/(105*d*e**9 + 105*e**10*x) - 420*b**4*d**4*e*
*4/(105*d*e**9 + 105*e**10*x) - 420*b**4*d**3*e**5*x*log(d/e + x)/(105*d*e**9 + 105*e**10*x) + 210*b**4*d**2*e
**6*x**2/(105*d*e**9 + 105*e**10*x) - 70*b**4*d*e**7*x**3/(105*d*e**9 + 105*e**10*x) + 35*b**4*e**8*x**4/(105*
d*e**9 + 105*e**10*x) + 2100*b**3*c*d**5*e**3*log(d/e + x)/(105*d*e**9 + 105*e**10*x) + 2100*b**3*c*d**5*e**3/
(105*d*e**9 + 105*e**10*x) + 2100*b**3*c*d**4*e**4*x*log(d/e + x)/(105*d*e**9 + 105*e**10*x) - 1050*b**3*c*d**
3*e**5*x**2/(105*d*e**9 + 105*e**10*x) + 350*b**3*c*d**2*e**6*x**3/(105*d*e**9 + 105*e**10*x) - 175*b**3*c*d*e
**7*x**4/(105*d*e**9 + 105*e**10*x) + 105*b**3*c*e**8*x**5/(105*d*e**9 + 105*e**10*x) - 3780*b**2*c**2*d**6*e*
*2*log(d/e + x)/(105*d*e**9 + 105*e**10*x) - 3780*b**2*c**2*d**6*e**2/(105*d*e**9 + 105*e**10*x) - 3780*b**2*c
**2*d**5*e**3*x*log(d/e + x)/(105*d*e**9 + 105*e**10*x) + 1890*b**2*c**2*d**4*e**4*x**2/(105*d*e**9 + 105*e**1
0*x) - 630*b**2*c**2*d**3*e**5*x**3/(105*d*e**9 + 105*e**10*x) + 315*b**2*c**2*d**2*e**6*x**4/(105*d*e**9 + 10
5*e**10*x) - 189*b**2*c**2*d*e**7*x**5/(105*d*e**9 + 105*e**10*x) + 126*b**2*c**2*e**8*x**6/(105*d*e**9 + 105*
e**10*x) + 2940*b*c**3*d**7*e*log(d/e + x)/(105*d*e**9 + 105*e**10*x) + 2940*b*c**3*d**7*e/(105*d*e**9 + 105*e
**10*x) + 2940*b*c**3*d**6*e**2*x*log(d/e + x)/(105*d*e**9 + 105*e**10*x) - 1470*b*c**3*d**5*e**3*x**2/(105*d*
e**9 + 105*e**10*x) + 490*b*c**3*d**4*e**4*x**3/(105*d*e**9 + 105*e**10*x) - 245*b*c**3*d**3*e**5*x**4/(105*d*
e**9 + 105*e**10*x) + 147*b*c**3*d**2*e**6*x**5/(105*d*e**9 + 105*e**10*x) - 98*b*c**3*d*e**7*x**6/(105*d*e**9
+ 105*e**10*x) + 70*b*c**3*e**8*x**7/(105*d*e**9 + 105*e**10*x) - 840*c**4*d**8*log(d/e + x)/(105*d*e**9 + 10
5*e**10*x) - 840*c**4*d**8/(105*d*e**9 + 105*e**10*x) - 840*c**4*d**7*e*x*log(d/e + x)/(105*d*e**9 + 105*e**10
*x) + 420*c**4*d**6*e**2*x**2/(105*d*e**9 + 105*e**10*x) - 140*c**4*d**5*e**3*x**3/(105*d*e**9 + 105*e**10*x)
+ 70*c**4*d**4*e**4*x**4/(105*d*e**9 + 105*e**10*x) - 42*c**4*d**3*e**5*x**5/(105*d*e**9 + 105*e**10*x) + 28*c
**4*d**2*e**6*x**6/(105*d*e**9 + 105*e**10*x) - 20*c**4*d*e**7*x**7/(105*d*e**9 + 105*e**10*x) + 15*c**4*e**8*
x**8/(105*d*e**9 + 105*e**10*x), Eq(m, -2)), (a**4*log(d/e + x)/e - 4*a**3*b*d*log(d/e + x)/e**2 + 4*a**3*b*x/
e + 4*a**3*c*d**2*log(d/e + x)/e**3 - 4*a**3*c*d*x/e**2 + 2*a**3*c*x**2/e + 6*a**2*b**2*d**2*log(d/e + x)/e**3
- 6*a**2*b**2*d*x/e**2 + 3*a**2*b**2*x**2/e - 12*a**2*b*c*d**3*log(d/e + x)/e**4 + 12*a**2*b*c*d**2*x/e**3 -
6*a**2*b*c*d*x**2/e**2 + 4*a**2*b*c*x**3/e + 6*a**2*c**2*d**4*log(d/e + x)/e**5 - 6*a**2*c**2*d**3*x/e**4 + 3*
a**2*c**2*d**2*x**2/e**3 - 2*a**2*c**2*d*x**3/e**2 + 3*a**2*c**2*x**4/(2*e) - 4*a*b**3*d**3*log(d/e + x)/e**4
+ 4*a*b**3*d**2*x/e**3 - 2*a*b**3*d*x**2/e**2 + 4*a*b**3*x**3/(3*e) + 12*a*b**2*c*d**4*log(d/e + x)/e**5 - 12*
a*b**2*c*d**3*x/e**4 + 6*a*b**2*c*d**2*x**2/e**3 - 4*a*b**2*c*d*x**3/e**2 + 3*a*b**2*c*x**4/e - 12*a*b*c**2*d*
*5*log(d/e + x)/e**6 + 12*a*b*c**2*d**4*x/e**5 - 6*a*b*c**2*d**3*x**2/e**4 + 4*a*b*c**2*d**2*x**3/e**3 - 3*a*b
*c**2*d*x**4/e**2 + 12*a*b*c**2*x**5/(5*e) + 4*a*c**3*d**6*log(d/e + x)/e**7 - 4*a*c**3*d**5*x/e**6 + 2*a*c**3
*d**4*x**2/e**5 - 4*a*c**3*d**3*x**3/(3*e**4) + a*c**3*d**2*x**4/e**3 - 4*a*c**3*d*x**5/(5*e**2) + 2*a*c**3*x*
*6/(3*e) + b**4*d**4*log(d/e + x)/e**5 - b**4*d**3*x/e**4 + b**4*d**2*x**2/(2*e**3) - b**4*d*x**3/(3*e**2) + b
**4*x**4/(4*e) - 4*b**3*c*d**5*log(d/e + x)/e**6 + 4*b**3*c*d**4*x/e**5 - 2*b**3*c*d**3*x**2/e**4 + 4*b**3*c*d
**2*x**3/(3*e**3) - b**3*c*d*x**4/e**2 + 4*b**3*c*x**5/(5*e) + 6*b**2*c**2*d**6*log(d/e + x)/e**7 - 6*b**2*c**
2*d**5*x/e**6 + 3*b**2*c**2*d**4*x**2/e**5 - 2*b**2*c**2*d**3*x**3/e**4 + 3*b**2*c**2*d**2*x**4/(2*e**3) - 6*b
**2*c**2*d*x**5/(5*e**2) + b**2*c**2*x**6/e - 4*b*c**3*d**7*log(d/e + x)/e**8 + 4*b*c**3*d**6*x/e**7 - 2*b*c**
3*d**5*x**2/e**6 + 4*b*c**3*d**4*x**3/(3*e**5) - b*c**3*d**3*x**4/e**4 + 4*b*c**3*d**2*x**5/(5*e**3) - 2*b*c**
3*d*x**6/(3*e**2) + 4*b*c**3*x**7/(7*e) + c**4*d**8*log(d/e + x)/e**9 - c**4*d**7*x/e**8 + c**4*d**6*x**2/(2*e
**7) - c**4*d**5*x**3/(3*e**6) + c**4*d**4*x**4/(4*e**5) - c**4*d**3*x**5/(5*e**4) + c**4*d**2*x**6/(6*e**3) -
c**4*d*x**7/(7*e**2) + c**4*x**8/(8*e), Eq(m, -1)), (a**4*d*e**8*m**8*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8
+ 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 +
1026576*e**9*m + 362880*e**9) + 44*a**4*d*e**8*m**7*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 +
9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m +
362880*e**9) + 826*a**4*d*e**8*m**6*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 +
63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 86
24*a**4*d*e**8*m**5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5
+ 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 54649*a**4*d*e**8*
m**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m
**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 214676*a**4*d*e**8*m**3*(d + e*x)
**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e
**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 509004*a**4*d*e**8*m**2*(d + e*x)**m/(e**9*m**9
+ 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 117
2700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 663696*a**4*d*e**8*m*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 +
870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 +
1026576*e**9*m + 362880*e**9) + 362880*a**4*d*e**8*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 94
50*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 36
2880*e**9) + a**4*e**9*m**8*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*
e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 44*a**4*
e**9*m**7*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325
*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 826*a**4*e**9*m**6*x*(d +
e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 7236
80*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 8624*a**4*e**9*m**5*x*(d + e*x)**m/(e**9*m*
*9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1
172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 54649*a**4*e**9*m**4*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m*
*8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**
2 + 1026576*e**9*m + 362880*e**9) + 214676*a**4*e**9*m**3*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*
m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e*
*9*m + 362880*e**9) + 509004*a**4*e**9*m**2*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e*
*9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*
e**9) + 663696*a**4*e**9*m*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e
**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 362880*a*
*4*e**9*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e
**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 4*a**3*b*d**2*e**7*m**7*(d +
e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723
680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 168*a**3*b*d**2*e**7*m**6*(d + e*x)**m/(e*
*9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**
3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 2968*a**3*b*d**2*e**7*m**5*(d + e*x)**m/(e**9*m**9 + 4
5*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700
*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 28560*a**3*b*d**2*e**7*m**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**
8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2
+ 1026576*e**9*m + 362880*e**9) - 161476*a**3*b*d**2*e**7*m**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e
**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 102657
6*e**9*m + 362880*e**9) - 535752*a**3*b*d**2*e**7*m**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7
+ 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m
+ 362880*e**9) - 964512*a**3*b*d**2*e**7*m*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*
m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**
9) - 725760*a**3*b*d**2*e**7*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e
**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 4*a**3*b*
d*e**8*m**8*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 2693
25*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 168*a**3*b*d*e**8*m**7*x
*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4
+ 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 2968*a**3*b*d*e**8*m**6*x*(d + e*x)**
m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**
9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 28560*a**3*b*d*e**8*m**5*x*(d + e*x)**m/(e**9*m**
9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 11
72700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 161476*a**3*b*d*e**8*m**4*x*(d + e*x)**m/(e**9*m**9 + 45*e**
9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9
*m**2 + 1026576*e**9*m + 362880*e**9) + 535752*a**3*b*d*e**8*m**3*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 8
70*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 10
26576*e**9*m + 362880*e**9) + 964512*a**3*b*d*e**8*m**2*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m*
*7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9
*m + 362880*e**9) + 725760*a**3*b*d*e**8*m*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**
9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e
**9) + 4*a**3*b*e**9*m**8*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273
*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 172*a**
3*b*e**9*m**7*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 +
269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 3136*a**3*b*e**9*m*
*6*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**
9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 31528*a**3*b*e**9*m**5*x**2*(d
+ e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 7
23680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 190036*a**3*b*e**9*m**4*x**2*(d + e*x)**
m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**
9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 697228*a**3*b*e**9*m**3*x**2*(d + e*x)**m/(e**9*m
**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 +
1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 1500264*a**3*b*e**9*m**2*x**2*(d + e*x)**m/(e**9*m**9 + 45
*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*
e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 1690272*a**3*b*e**9*m*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8
+ 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 +
1026576*e**9*m + 362880*e**9) + 725760*a**3*b*e**9*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**
7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*
m + 362880*e**9) + 8*a**3*c*d**3*e**6*m**6*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*
m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**
9) + 312*a**3*c*d**3*e**6*m**5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273
*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 5000*a*
*3*c*d**3*e**6*m**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5
+ 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 42120*a**3*c*d**3*
e**6*m**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e
**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 196592*a**3*c*d**3*e**6*m**2
*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4
+ 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 481728*a**3*c*d**3*e**6*m*(d + e*x)**
m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**
9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 483840*a**3*c*d**3*e**6*(d + e*x)**m/(e**9*m**9 +
45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 11727
00*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 8*a**3*c*d**2*e**7*m**7*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**
8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2
+ 1026576*e**9*m + 362880*e**9) - 312*a**3*c*d**2*e**7*m**6*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e*
*9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576
*e**9*m + 362880*e**9) - 5000*a**3*c*d**2*e**7*m**5*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 +
9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m +
362880*e**9) - 42120*a**3*c*d**2*e**7*m**4*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e*
*9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*
e**9) - 196592*a**3*c*d**2*e**7*m**3*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6
+ 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) -
481728*a**3*c*d**2*e**7*m**2*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 6327
3*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 483840
*a**3*c*d**2*e**7*m*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**
5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 4*a**3*c*d*e**8*
m**8*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e
**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 160*a**3*c*d*e**8*m**7*x**2*
(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 +
723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 2656*a**3*c*d*e**8*m**6*x**2*(d + e*x)
**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e
**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 23560*a**3*c*d*e**8*m**5*x**2*(d + e*x)**m/(e**
9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3
+ 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 119356*a**3*c*d*e**8*m**4*x**2*(d + e*x)**m/(e**9*m**9
+ 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172
700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 339160*a**3*c*d*e**8*m**3*x**2*(d + e*x)**m/(e**9*m**9 + 45*e*
*9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**
9*m**2 + 1026576*e**9*m + 362880*e**9) + 482784*a**3*c*d*e**8*m**2*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8
+ 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2
+ 1026576*e**9*m + 362880*e**9) + 241920*a**3*c*d*e**8*m*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**
9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*
e**9*m + 362880*e**9) + 4*a**3*c*e**9*m**8*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*
e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 36288
0*e**9) + 168*a**3*c*e**9*m**7*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 +
63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 29
76*a**3*c*e**9*m**6*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*
m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 28872*a**3*c*
e**9*m**5*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269
325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 166476*a**3*c*e**9*m**4
*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*
m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 577872*a**3*c*e**9*m**3*x**3*(d
+ e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 72
3680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 1161104*a**3*c*e**9*m**2*x**3*(d + e*x)**
m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**
9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 1207488*a**3*c*e**9*m*x**3*(d + e*x)**m/(e**9*m**
9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 11
72700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 483840*a**3*c*e**9*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m*
*8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**
2 + 1026576*e**9*m + 362880*e**9) + 12*a**2*b**2*d**3*e**6*m**6*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e
**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 102657
6*e**9*m + 362880*e**9) + 468*a**2*b**2*d**3*e**6*m**5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7
+ 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m
+ 362880*e**9) + 7500*a**2*b**2*d**3*e**6*m**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e
**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880
*e**9) + 63180*a**2*b**2*d**3*e**6*m**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**
6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9)
+ 294888*a**2*b**2*d**3*e**6*m**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63
273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 7225
92*a**2*b**2*d**3*e**6*m*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*
m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 725760*a**2*b
**2*d**3*e**6*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 2693
25*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 12*a**2*b**2*d**2*e**7*m
**7*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*
m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 468*a**2*b**2*d**2*e**7*m**6*x*(
d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 +
723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 7500*a**2*b**2*d**2*e**7*m**5*x*(d + e*
x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680
*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 63180*a**2*b**2*d**2*e**7*m**4*x*(d + e*x)**m
/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9
*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 294888*a**2*b**2*d**2*e**7*m**3*x*(d + e*x)**m/(e*
*9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**
3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 722592*a**2*b**2*d**2*e**7*m**2*x*(d + e*x)**m/(e**9*m
**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 +
1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 725760*a**2*b**2*d**2*e**7*m*x*(d + e*x)**m/(e**9*m**9 + 4
5*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700
*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 6*a**2*b**2*d*e**8*m**8*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m*
*8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**
2 + 1026576*e**9*m + 362880*e**9) + 240*a**2*b**2*d*e**8*m**7*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 87
0*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 102
6576*e**9*m + 362880*e**9) + 3984*a**2*b**2*d*e**8*m**6*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9
*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e
**9*m + 362880*e**9) + 35340*a**2*b**2*d*e**8*m**5*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7
+ 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m
+ 362880*e**9) + 179034*a**2*b**2*d*e**8*m**4*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9
450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 3
62880*e**9) + 508740*a**2*b**2*d*e**8*m**3*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*
e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 36288
0*e**9) + 724176*a**2*b**2*d*e**8*m**2*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9
*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e*
*9) + 362880*a**2*b**2*d*e**8*m*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 +
63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 6
*a**2*b**2*e**9*m**8*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9
*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 252*a**2*b**
2*e**9*m**7*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 2
69325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 4464*a**2*b**2*e**9*m
**6*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e*
*9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 43308*a**2*b**2*e**9*m**5*x**
3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4
+ 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 249714*a**2*b**2*e**9*m**4*x**3*(d +
e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723
680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 866808*a**2*b**2*e**9*m**3*x**3*(d + e*x)*
*m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e*
*9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 1741656*a**2*b**2*e**9*m**2*x**3*(d + e*x)**m/(e
**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m*
*3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 1811232*a**2*b**2*e**9*m*x**3*(d + e*x)**m/(e**9*m**9
+ 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 117
2700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 725760*a**2*b**2*e**9*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*
m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m
**2 + 1026576*e**9*m + 362880*e**9) - 72*a**2*b*c*d**4*e**5*m**5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*
e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 10265
76*e**9*m + 362880*e**9) - 2520*a**2*b*c*d**4*e**5*m**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7
+ 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m
+ 362880*e**9) - 34920*a**2*b*c*d**4*e**5*m**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*
e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 36288
0*e**9) - 239400*a**2*b*c*d**4*e**5*m**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m*
*6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9)
- 811728*a**2*b*c*d**4*e**5*m*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273
*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 1088640
*a**2*b*c*d**4*e**5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5
+ 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 72*a**2*b*c*d**3*e
**6*m**6*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*
e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 2520*a**2*b*c*d**3*e**6*m**
5*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m*
*4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 34920*a**2*b*c*d**3*e**6*m**4*x*(d
+ e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 7
23680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 239400*a**2*b*c*d**3*e**6*m**3*x*(d + e*
x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680
*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 811728*a**2*b*c*d**3*e**6*m**2*x*(d + e*x)**m
/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9
*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 1088640*a**2*b*c*d**3*e**6*m*x*(d + e*x)**m/(e**9*
m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 +
1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 36*a**2*b*c*d**2*e**7*m**7*x**2*(d + e*x)**m/(e**9*m**9 +
45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 11727
00*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 1296*a**2*b*c*d**2*e**7*m**6*x**2*(d + e*x)**m/(e**9*m**9 + 45*
e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e
**9*m**2 + 1026576*e**9*m + 362880*e**9) - 18720*a**2*b*c*d**2*e**7*m**5*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**
9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9
*m**2 + 1026576*e**9*m + 362880*e**9) - 137160*a**2*b*c*d**2*e**7*m**4*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*
m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m
**2 + 1026576*e**9*m + 362880*e**9) - 525564*a**2*b*c*d**2*e**7*m**3*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m*
*8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**
2 + 1026576*e**9*m + 362880*e**9) - 950184*a**2*b*c*d**2*e**7*m**2*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8
+ 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2
+ 1026576*e**9*m + 362880*e**9) - 544320*a**2*b*c*d**2*e**7*m*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 87
0*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 102
6576*e**9*m + 362880*e**9) + 12*a**2*b*c*d*e**8*m**8*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m*
*7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9
*m + 362880*e**9) + 456*a**2*b*c*d*e**8*m**7*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 945
0*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362
880*e**9) + 7104*a**2*b*c*d*e**8*m**6*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*
m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**
9) + 58200*a**2*b*c*d*e**8*m**5*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 +
63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 2
66628*a**2*b*c*d*e**8*m**4*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 6327
3*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 667104
*a**2*b*c*d*e**8*m**3*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**
9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 814896*a**2
*b*c*d*e**8*m**2*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**
5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 362880*a**2*b*c*
d*e**8*m*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 2693
25*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 12*a**2*b*c*e**9*m**8*x*
*4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**
4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 492*a**2*b*c*e**9*m**7*x**4*(d + e*
x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680
*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 8472*a**2*b*c*e**9*m**6*x**4*(d + e*x)**m/(e*
*9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**
3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 79512*a**2*b*c*e**9*m**5*x**4*(d + e*x)**m/(e**9*m**9
+ 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172
700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 441228*a**2*b*c*e**9*m**4*x**4*(d + e*x)**m/(e**9*m**9 + 45*e*
*9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**
9*m**2 + 1026576*e**9*m + 362880*e**9) + 1466988*a**2*b*c*e**9*m**3*x**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**
8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2
+ 1026576*e**9*m + 362880*e**9) + 2816208*a**2*b*c*e**9*m**2*x**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 87
0*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 102
6576*e**9*m + 362880*e**9) + 2807568*a**2*b*c*e**9*m*x**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m*
*7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9
*m + 362880*e**9) + 1088640*a**2*b*c*e**9*x**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e
**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880
*e**9) + 144*a**2*c**2*d**5*e**4*m**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6
+ 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) +
4320*a**2*c**2*d**5*e**4*m**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*
e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 48240*a*
*2*c**2*d**5*e**4*m**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m*
*5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 237600*a**2*c**
2*d**5*e**4*m*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 2693
25*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 435456*a**2*c**2*d**5*e*
*4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**
4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 144*a**2*c**2*d**4*e**5*m**5*x*(d +
e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723
680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 4320*a**2*c**2*d**4*e**5*m**4*x*(d + e*x)*
*m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e*
*9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 48240*a**2*c**2*d**4*e**5*m**3*x*(d + e*x)**m/(e
**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m*
*3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 237600*a**2*c**2*d**4*e**5*m**2*x*(d + e*x)**m/(e**9*
m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 +
1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 435456*a**2*c**2*d**4*e**5*m*x*(d + e*x)**m/(e**9*m**9 +
45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 117270
0*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 72*a**2*c**2*d**3*e**6*m**6*x**2*(d + e*x)**m/(e**9*m**9 + 45*e*
*9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**
9*m**2 + 1026576*e**9*m + 362880*e**9) + 2232*a**2*c**2*d**3*e**6*m**5*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*
m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m
**2 + 1026576*e**9*m + 362880*e**9) + 26280*a**2*c**2*d**3*e**6*m**4*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m*
*8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**
2 + 1026576*e**9*m + 362880*e**9) + 142920*a**2*c**2*d**3*e**6*m**3*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**
8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2
+ 1026576*e**9*m + 362880*e**9) + 336528*a**2*c**2*d**3*e**6*m**2*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8
+ 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2
+ 1026576*e**9*m + 362880*e**9) + 217728*a**2*c**2*d**3*e**6*m*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 8
70*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 10
26576*e**9*m + 362880*e**9) - 24*a**2*c**2*d**2*e**7*m**7*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e*
*9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576
*e**9*m + 362880*e**9) - 792*a**2*c**2*d**2*e**7*m**6*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m
**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**
9*m + 362880*e**9) - 10248*a**2*c**2*d**2*e**7*m**5*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**
7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*
m + 362880*e**9) - 65160*a**2*c**2*d**2*e**7*m**4*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7
+ 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m
+ 362880*e**9) - 207456*a**2*c**2*d**2*e**7*m**3*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 +
9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m +
362880*e**9) - 296928*a**2*c**2*d**2*e**7*m**2*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 +
9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m +
362880*e**9) - 145152*a**2*c**2*d**2*e**7*m*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450
*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 3628
80*e**9) + 6*a**2*c**2*d*e**8*m**8*x**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**
6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9)
+ 216*a**2*c**2*d*e**8*m**7*x**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 632
73*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 3156*
a**2*c**2*d*e**8*m**6*x**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**
9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 23976*a**2*
c**2*d*e**8*m**5*x**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**
5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 100734*a**2*c**2
*d*e**8*m**4*x**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 +
269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 229824*a**2*c**2*d*e
**8*m**3*x**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 2693
25*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 258984*a**2*c**2*d*e**8*
m**2*x**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e
**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 108864*a**2*c**2*d*e**8*m*x*
*4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**
4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 6*a**2*c**2*e**9*m**8*x**5*(d + e*x
)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*
e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 240*a**2*c**2*e**9*m**7*x**5*(d + e*x)**m/(e**
9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3
+ 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 4020*a**2*c**2*e**9*m**6*x**5*(d + e*x)**m/(e**9*m**9 +
45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 11727
00*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 36600*a**2*c**2*e**9*m**5*x**5*(d + e*x)**m/(e**9*m**9 + 45*e**
9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9
*m**2 + 1026576*e**9*m + 362880*e**9) + 196638*a**2*c**2*e**9*m**4*x**5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8
+ 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2
+ 1026576*e**9*m + 362880*e**9) + 632760*a**2*c**2*e**9*m**3*x**5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870
*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026
576*e**9*m + 362880*e**9) + 1178280*a**2*c**2*e**9*m**2*x**5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9
*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e
**9*m + 362880*e**9) + 1144800*a**2*c**2*e**9*m*x**5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 +
9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m +
362880*e**9) + 435456*a**2*c**2*e**9*x**5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m
**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9
) - 24*a*b**3*d**4*e**5*m**5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e
**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 840*a*b**
3*d**4*e**5*m**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 2
69325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 11640*a*b**3*d**4*e**
5*m**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9
*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 79800*a*b**3*d**4*e**5*m**2*(d
+ e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 72
3680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 270576*a*b**3*d**4*e**5*m*(d + e*x)**m/(e
**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m*
*3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 362880*a*b**3*d**4*e**5*(d + e*x)**m/(e**9*m**9 + 45*
e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e
**9*m**2 + 1026576*e**9*m + 362880*e**9) + 24*a*b**3*d**3*e**6*m**6*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 +
870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 +
1026576*e**9*m + 362880*e**9) + 840*a*b**3*d**3*e**6*m**5*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*
m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e*
*9*m + 362880*e**9) + 11640*a*b**3*d**3*e**6*m**4*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9
450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 3
62880*e**9) + 79800*a*b**3*d**3*e**6*m**3*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9
*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e*
*9) + 270576*a*b**3*d**3*e**6*m**2*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 +
63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 3
62880*a*b**3*d**3*e**6*m*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**
9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 12*a*b**3*d
**2*e**7*m**7*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 +
269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 432*a*b**3*d**2*e**
7*m**6*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325
*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 6240*a*b**3*d**2*e**7*m**5
*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*
m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 45720*a*b**3*d**2*e**7*m**4*x**2
*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4
+ 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 175188*a*b**3*d**2*e**7*m**3*x**2*(d
+ e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 72
3680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 316728*a*b**3*d**2*e**7*m**2*x**2*(d + e*
x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680
*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 181440*a*b**3*d**2*e**7*m*x**2*(d + e*x)**m/(
e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m
**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 4*a*b**3*d*e**8*m**8*x**3*(d + e*x)**m/(e**9*m**9 +
45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 117270
0*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 152*a*b**3*d*e**8*m**7*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m*
*8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**
2 + 1026576*e**9*m + 362880*e**9) + 2368*a*b**3*d*e**8*m**6*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*
e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 10265
76*e**9*m + 362880*e**9) + 19400*a*b**3*d*e**8*m**5*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**
7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*
m + 362880*e**9) + 88876*a*b**3*d*e**8*m**4*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450
*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 3628
80*e**9) + 222368*a*b**3*d*e**8*m**3*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m
**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9
) + 271632*a*b**3*d*e**8*m**2*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 6
3273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 120
960*a*b**3*d*e**8*m*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*
m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 4*a*b**3*e**9
*m**8*x**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*
e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 164*a*b**3*e**9*m**7*x**4*(
d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 +
723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 2824*a*b**3*e**9*m**6*x**4*(d + e*x)**m
/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9
*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 26504*a*b**3*e**9*m**5*x**4*(d + e*x)**m/(e**9*m**
9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 11
72700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 147076*a*b**3*e**9*m**4*x**4*(d + e*x)**m/(e**9*m**9 + 45*e*
*9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**
9*m**2 + 1026576*e**9*m + 362880*e**9) + 488996*a*b**3*e**9*m**3*x**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 +
870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 +
1026576*e**9*m + 362880*e**9) + 938736*a*b**3*e**9*m**2*x**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9
*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e
**9*m + 362880*e**9) + 935856*a*b**3*e**9*m*x**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450
*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 3628
80*e**9) + 362880*a*b**3*e**9*x**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 6
3273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 288
*a*b**2*c*d**5*e**4*m**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*
m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 8640*a*b**2*c
*d**5*e**4*m**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 26
9325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 96480*a*b**2*c*d**5*e*
*4*m**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**
9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 475200*a*b**2*c*d**5*e**4*m*(d
+ e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 7
23680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 870912*a*b**2*c*d**5*e**4*(d + e*x)**m/(
e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m
**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 288*a*b**2*c*d**4*e**5*m**5*x*(d + e*x)**m/(e**9*m**
9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 11
72700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 8640*a*b**2*c*d**4*e**5*m**4*x*(d + e*x)**m/(e**9*m**9 + 45*
e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e
**9*m**2 + 1026576*e**9*m + 362880*e**9) - 96480*a*b**2*c*d**4*e**5*m**3*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m
**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m*
*2 + 1026576*e**9*m + 362880*e**9) - 475200*a*b**2*c*d**4*e**5*m**2*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 +
870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 +
1026576*e**9*m + 362880*e**9) - 870912*a*b**2*c*d**4*e**5*m*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**
9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*
e**9*m + 362880*e**9) + 144*a*b**2*c*d**3*e**6*m**6*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**
7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*
m + 362880*e**9) + 4464*a*b**2*c*d**3*e**6*m**5*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 +
9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m +
362880*e**9) + 52560*a*b**2*c*d**3*e**6*m**4*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 945
0*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362
880*e**9) + 285840*a*b**2*c*d**3*e**6*m**3*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*
e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 36288
0*e**9) + 673056*a*b**2*c*d**3*e**6*m**2*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e*
*9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*
e**9) + 435456*a*b**2*c*d**3*e**6*m*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m*
*6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9)
- 48*a*b**2*c*d**2*e**7*m**7*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 6
3273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 158
4*a*b**2*c*d**2*e**7*m**6*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273
*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 20496*a
*b**2*c*d**2*e**7*m**5*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e*
*9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 130320*a*b
**2*c*d**2*e**7*m**4*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9
*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 414912*a*b**
2*c*d**2*e**7*m**3*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m
**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 593856*a*b**2*
c*d**2*e**7*m**2*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**
5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 290304*a*b**2*c*
d**2*e**7*m*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 2
69325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 12*a*b**2*c*d*e**8*m*
*8*x**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**
9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 432*a*b**2*c*d*e**8*m**7*x**4*
(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 +
723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 6312*a*b**2*c*d*e**8*m**6*x**4*(d + e*
x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680
*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 47952*a*b**2*c*d*e**8*m**5*x**4*(d + e*x)**m/
(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*
m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 201468*a*b**2*c*d*e**8*m**4*x**4*(d + e*x)**m/(e**9
*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3
+ 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 459648*a*b**2*c*d*e**8*m**3*x**4*(d + e*x)**m/(e**9*m**9
+ 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 117
2700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 517968*a*b**2*c*d*e**8*m**2*x**4*(d + e*x)**m/(e**9*m**9 + 45
*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*
e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 217728*a*b**2*c*d*e**8*m*x**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m*
*8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**
2 + 1026576*e**9*m + 362880*e**9) + 12*a*b**2*c*e**9*m**8*x**5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e*
*9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576
*e**9*m + 362880*e**9) + 480*a*b**2*c*e**9*m**7*x**5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 +
9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m +
362880*e**9) + 8040*a*b**2*c*e**9*m**6*x**5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9
*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e*
*9) + 73200*a*b**2*c*e**9*m**5*x**5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 +
63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 39
3276*a*b**2*c*e**9*m**4*x**5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e
**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 1265520*a
*b**2*c*e**9*m**3*x**5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m*
*5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 2356560*a*b**2*
c*e**9*m**2*x**5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 2
69325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 2289600*a*b**2*c*e**9
*m*x**5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**
9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 870912*a*b**2*c*e**9*x**5*(d +
e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723
680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 1440*a*b*c**2*d**6*e**3*m**3*(d + e*x)**m/
(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*
m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 34560*a*b*c**2*d**6*e**3*m**2*(d + e*x)**m/(e**9*m*
*9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1
172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 275040*a*b*c**2*d**6*e**3*m*(d + e*x)**m/(e**9*m**9 + 45*e*
*9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**
9*m**2 + 1026576*e**9*m + 362880*e**9) - 725760*a*b*c**2*d**6*e**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 87
0*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 102
6576*e**9*m + 362880*e**9) + 1440*a*b*c**2*d**5*e**4*m**4*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*
m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e*
*9*m + 362880*e**9) + 34560*a*b*c**2*d**5*e**4*m**3*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 +
9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m +
362880*e**9) + 275040*a*b*c**2*d**5*e**4*m**2*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450
*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 3628
80*e**9) + 725760*a*b*c**2*d**5*e**4*m*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m*
*6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9)
- 720*a*b*c**2*d**4*e**5*m**5*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 +
63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 18
000*a*b*c**2*d**4*e**5*m**4*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 632
73*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 15480
0*a*b*c**2*d**4*e**5*m**3*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273
*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 500400*
a*b*c**2*d**4*e**5*m**2*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e
**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 362880*a*
b*c**2*d**4*e**5*m*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m
**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 240*a*b*c**2*d
**3*e**6*m**6*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 +
269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 6480*a*b*c**2*d**3*
e**6*m**5*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269
325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 63600*a*b*c**2*d**3*e**
6*m**4*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325
*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 270000*a*b*c**2*d**3*e**6*
m**3*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e
**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 454560*a*b*c**2*d**3*e**6*m*
*2*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**
9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 241920*a*b*c**2*d**3*e**6*m*x*
*3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**
4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 60*a*b*c**2*d**2*e**7*m**7*x**4*(d
+ e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 72
3680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 1800*a*b*c**2*d**2*e**7*m**6*x**4*(d + e*
x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680
*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 20760*a*b*c**2*d**2*e**7*m**5*x**4*(d + e*x)*
*m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e*
*9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 115200*a*b*c**2*d**2*e**7*m**4*x**4*(d + e*x)**m
/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9
*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 316140*a*b*c**2*d**2*e**7*m**3*x**4*(d + e*x)**m/(
e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m
**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 401400*a*b*c**2*d**2*e**7*m**2*x**4*(d + e*x)**m/(e*
*9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**
3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 181440*a*b*c**2*d**2*e**7*m*x**4*(d + e*x)**m/(e**9*m*
*9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1
172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 12*a*b*c**2*d*e**8*m**8*x**5*(d + e*x)**m/(e**9*m**9 + 45*e
**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e*
*9*m**2 + 1026576*e**9*m + 362880*e**9) + 408*a*b*c**2*d*e**8*m**7*x**5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8
+ 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2
+ 1026576*e**9*m + 362880*e**9) + 5592*a*b*c**2*d*e**8*m**6*x**5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*
e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 10265
76*e**9*m + 362880*e**9) + 39648*a*b*c**2*d*e**8*m**5*x**5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m
**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**
9*m + 362880*e**9) + 155388*a*b*c**2*d*e**8*m**4*x**5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 +
9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m +
362880*e**9) + 333192*a*b*c**2*d*e**8*m**3*x**5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450
*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 3628
80*e**9) + 357408*a*b*c**2*d*e**8*m**2*x**5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9
*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e*
*9) + 145152*a*b*c**2*d*e**8*m*x**5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 +
63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 12
*a*b*c**2*e**9*m**8*x**6*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*
m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 468*a*b*c**2*
e**9*m**7*x**6*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269
325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 7632*a*b*c**2*e**9*m**6
*x**6*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*
m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 67608*a*b*c**2*e**9*m**5*x**6*(d
+ e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 7
23680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 353628*a*b*c**2*e**9*m**4*x**6*(d + e*x)
**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e
**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 1110132*a*b*c**2*e**9*m**3*x**6*(d + e*x)**m/(e
**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m*
*3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 2023368*a*b*c**2*e**9*m**2*x**6*(d + e*x)**m/(e**9*m*
*9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1
172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 1932192*a*b*c**2*e**9*m*x**6*(d + e*x)**m/(e**9*m**9 + 45*e
**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e*
*9*m**2 + 1026576*e**9*m + 362880*e**9) + 725760*a*b*c**2*e**9*x**6*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 8
70*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 10
26576*e**9*m + 362880*e**9) + 2880*a*c**3*d**7*e**2*m**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**
7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*
m + 362880*e**9) + 48960*a*c**3*d**7*e**2*m*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9
*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e*
*9) + 207360*a*c**3*d**7*e**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*
e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 2880*a*c
**3*d**6*e**3*m**3*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5
+ 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 48960*a*c**3*d**6
*e**3*m**2*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 26932
5*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 207360*a*c**3*d**6*e**3*m
*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**
4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 1440*a*c**3*d**5*e**4*m**4*x**2*(d
+ e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 72
3680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 25920*a*c**3*d**5*e**4*m**3*x**2*(d + e*x
)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*
e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 128160*a*c**3*d**5*e**4*m**2*x**2*(d + e*x)**m
/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9
*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 103680*a*c**3*d**5*e**4*m*x**2*(d + e*x)**m/(e**9*
m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 +
1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 480*a*c**3*d**4*e**5*m**5*x**3*(d + e*x)**m/(e**9*m**9 +
45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 117270
0*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 9600*a*c**3*d**4*e**5*m**4*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**
9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9
*m**2 + 1026576*e**9*m + 362880*e**9) - 60000*a*c**3*d**4*e**5*m**3*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**
8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2
+ 1026576*e**9*m + 362880*e**9) - 120000*a*c**3*d**4*e**5*m**2*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 +
870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1
026576*e**9*m + 362880*e**9) - 69120*a*c**3*d**4*e**5*m*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9
*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e
**9*m + 362880*e**9) + 120*a*c**3*d**3*e**6*m**6*x**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 +
9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m +
362880*e**9) + 2760*a*c**3*d**3*e**6*m**5*x**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*
e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 36288
0*e**9) + 22200*a*c**3*d**3*e**6*m**4*x**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*
m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**
9) + 75000*a*c**3*d**3*e**6*m**3*x**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6
+ 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) +
107280*a*c**3*d**3*e**6*m**2*x**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63
273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 5184
0*a*c**3*d**3*e**6*m*x**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9
*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 24*a*c**3*d*
*2*e**7*m**7*x**5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 +
269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 648*a*c**3*d**2*e**7
*m**6*x**5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*
e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 6648*a*c**3*d**2*e**7*m**5*
x**5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m
**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 32760*a*c**3*d**2*e**7*m**4*x**5*
(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 +
723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 81456*a*c**3*d**2*e**7*m**3*x**5*(d +
e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 7236
80*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 96192*a*c**3*d**2*e**7*m**2*x**5*(d + e*x)*
*m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e*
*9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 41472*a*c**3*d**2*e**7*m*x**5*(d + e*x)**m/(e**9
*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3
+ 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 4*a*c**3*d*e**8*m**8*x**6*(d + e*x)**m/(e**9*m**9 + 45*e
**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e*
*9*m**2 + 1026576*e**9*m + 362880*e**9) + 128*a*c**3*d*e**8*m**7*x**6*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 +
870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 +
1026576*e**9*m + 362880*e**9) + 1648*a*c**3*d*e**8*m**6*x**6*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9
*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e
**9*m + 362880*e**9) + 11000*a*c**3*d*e**8*m**5*x**6*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 +
9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m +
362880*e**9) + 40876*a*c**3*d*e**8*m**4*x**6*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**
9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e
**9) + 83912*a*c**3*d*e**8*m**3*x**6*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 +
63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 8
7072*a*c**3*d*e**8*m**2*x**6*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e
**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 34560*a*c
**3*d*e**8*m*x**6*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 +
269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 4*a*c**3*e**9*m**8*x
**7*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m*
*4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 152*a*c**3*e**9*m**7*x**7*(d + e*x
)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*
e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 2416*a*c**3*e**9*m**6*x**7*(d + e*x)**m/(e**9*
m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 +
1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 20888*a*c**3*e**9*m**5*x**7*(d + e*x)**m/(e**9*m**9 + 45*
e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e
**9*m**2 + 1026576*e**9*m + 362880*e**9) + 106876*a*c**3*e**9*m**4*x**7*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8
+ 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2
+ 1026576*e**9*m + 362880*e**9) + 329168*a*c**3*e**9*m**3*x**7*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e*
*9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576
*e**9*m + 362880*e**9) + 590544*a*c**3*e**9*m**2*x**7*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 +
9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m +
362880*e**9) + 556992*a*c**3*e**9*m*x**7*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m
**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9
) + 207360*a*c**3*e**9*x**7*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e*
*9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 24*b**4*d*
*5*e**4*m**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 26932
5*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 720*b**4*d**5*e**4*m**3*(
d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 +
723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 8040*b**4*d**5*e**4*m**2*(d + e*x)**m/(
e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m
**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 39600*b**4*d**5*e**4*m*(d + e*x)**m/(e**9*m**9 + 45*
e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e
**9*m**2 + 1026576*e**9*m + 362880*e**9) + 72576*b**4*d**5*e**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e
**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 102657
6*e**9*m + 362880*e**9) - 24*b**4*d**4*e**5*m**5*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 94
50*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 36
2880*e**9) - 720*b**4*d**4*e**5*m**4*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6
+ 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) -
8040*b**4*d**4*e**5*m**3*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e*
*9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 39600*b**4
*d**4*e**5*m**2*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 +
269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 72576*b**4*d**4*e**5
*m*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m
**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 12*b**4*d**3*e**6*m**6*x**2*(d +
e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 7236
80*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 372*b**4*d**3*e**6*m**5*x**2*(d + e*x)**m/(
e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m
**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 4380*b**4*d**3*e**6*m**4*x**2*(d + e*x)**m/(e**9*m**
9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 11
72700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 23820*b**4*d**3*e**6*m**3*x**2*(d + e*x)**m/(e**9*m**9 + 45*
e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e
**9*m**2 + 1026576*e**9*m + 362880*e**9) + 56088*b**4*d**3*e**6*m**2*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m*
*8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**
2 + 1026576*e**9*m + 362880*e**9) + 36288*b**4*d**3*e**6*m*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e
**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 102657
6*e**9*m + 362880*e**9) - 4*b**4*d**2*e**7*m**7*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 +
9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m +
362880*e**9) - 132*b**4*d**2*e**7*m**6*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9
*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e*
*9) - 1708*b**4*d**2*e**7*m**5*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 +
63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 10
860*b**4*d**2*e**7*m**4*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e
**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 34576*b**
4*d**2*e**7*m**3*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**
5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 49488*b**4*d**2*
e**7*m**2*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269
325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 24192*b**4*d**2*e**7*m*
x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m
**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + b**4*d*e**8*m**8*x**4*(d + e*x)**
m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**
9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 36*b**4*d*e**8*m**7*x**4*(d + e*x)**m/(e**9*m**9
+ 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172
700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 526*b**4*d*e**8*m**6*x**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m*
*8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**
2 + 1026576*e**9*m + 362880*e**9) + 3996*b**4*d*e**8*m**5*x**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e*
*9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576
*e**9*m + 362880*e**9) + 16789*b**4*d*e**8*m**4*x**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 +
9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m +
362880*e**9) + 38304*b**4*d*e**8*m**3*x**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*
m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**
9) + 43164*b**4*d*e**8*m**2*x**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 632
73*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 18144
*b**4*d*e**8*m*x**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5
+ 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + b**4*e**9*m**8*x**
5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4
+ 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 40*b**4*e**9*m**7*x**5*(d + e*x)**m/
(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*
m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 670*b**4*e**9*m**6*x**5*(d + e*x)**m/(e**9*m**9 + 4
5*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700
*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 6100*b**4*e**9*m**5*x**5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 +
870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 +
1026576*e**9*m + 362880*e**9) + 32773*b**4*e**9*m**4*x**5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m*
*7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9
*m + 362880*e**9) + 105460*b**4*e**9*m**3*x**5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e
**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880
*e**9) + 196380*b**4*e**9*m**2*x**5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 +
63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 19
0800*b**4*e**9*m*x**5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**
5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 72576*b**4*e**9*
x**5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m
**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 480*b**3*c*d**6*e**3*m**3*(d + e*
x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680
*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 11520*b**3*c*d**6*e**3*m**2*(d + e*x)**m/(e**
9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3
+ 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 91680*b**3*c*d**6*e**3*m*(d + e*x)**m/(e**9*m**9 + 45*e
**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e*
*9*m**2 + 1026576*e**9*m + 362880*e**9) - 241920*b**3*c*d**6*e**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870
*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026
576*e**9*m + 362880*e**9) + 480*b**3*c*d**5*e**4*m**4*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7
+ 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m
+ 362880*e**9) + 11520*b**3*c*d**5*e**4*m**3*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*
e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 36288
0*e**9) + 91680*b**3*c*d**5*e**4*m**2*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**
6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9)
+ 241920*b**3*c*d**5*e**4*m*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*
e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 240*b**3
*c*d**4*e**5*m**5*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m*
*5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 6000*b**3*c*d**
4*e**5*m**4*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 2
69325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 51600*b**3*c*d**4*e**
5*m**3*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325
*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 166800*b**3*c*d**4*e**5*m*
*2*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**
9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 120960*b**3*c*d**4*e**5*m*x**2
*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4
+ 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 80*b**3*c*d**3*e**6*m**6*x**3*(d + e*
x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680
*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 2160*b**3*c*d**3*e**6*m**5*x**3*(d + e*x)**m/
(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*
m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 21200*b**3*c*d**3*e**6*m**4*x**3*(d + e*x)**m/(e**9
*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3
+ 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 90000*b**3*c*d**3*e**6*m**3*x**3*(d + e*x)**m/(e**9*m**9
+ 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 117
2700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 151520*b**3*c*d**3*e**6*m**2*x**3*(d + e*x)**m/(e**9*m**9 + 4
5*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700
*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 80640*b**3*c*d**3*e**6*m*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m
**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m*
*2 + 1026576*e**9*m + 362880*e**9) - 20*b**3*c*d**2*e**7*m**7*x**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 87
0*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 102
6576*e**9*m + 362880*e**9) - 600*b**3*c*d**2*e**7*m**6*x**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*
m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e*
*9*m + 362880*e**9) - 6920*b**3*c*d**2*e**7*m**5*x**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 +
9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m +
362880*e**9) - 38400*b**3*c*d**2*e**7*m**4*x**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450
*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 3628
80*e**9) - 105380*b**3*c*d**2*e**7*m**3*x**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**
9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e
**9) - 133800*b**3*c*d**2*e**7*m**2*x**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m*
*6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9)
- 60480*b**3*c*d**2*e**7*m*x**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 632
73*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 4*b**
3*c*d*e**8*m**8*x**5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5
+ 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 136*b**3*c*d*e**8
*m**7*x**5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*
e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 1864*b**3*c*d*e**8*m**6*x**
5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4
+ 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 13216*b**3*c*d*e**8*m**5*x**5*(d + e
*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 72368
0*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 51796*b**3*c*d*e**8*m**4*x**5*(d + e*x)**m/(
e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m
**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 111064*b**3*c*d*e**8*m**3*x**5*(d + e*x)**m/(e**9*m*
*9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1
172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 119136*b**3*c*d*e**8*m**2*x**5*(d + e*x)**m/(e**9*m**9 + 45
*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*
e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 48384*b**3*c*d*e**8*m*x**5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8
+ 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 +
1026576*e**9*m + 362880*e**9) + 4*b**3*c*e**9*m**8*x**6*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**
7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*
m + 362880*e**9) + 156*b**3*c*e**9*m**7*x**6*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**
9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e
**9) + 2544*b**3*c*e**9*m**6*x**6*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63
273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 2253
6*b**3*c*e**9*m**5*x**6*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m
**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 117876*b**3*c*
e**9*m**4*x**6*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269
325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 370044*b**3*c*e**9*m**3
*x**6*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*
m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 674456*b**3*c*e**9*m**2*x**6*(d
+ e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 72
3680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 644064*b**3*c*e**9*m*x**6*(d + e*x)**m/(e
**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m*
*3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 241920*b**3*c*e**9*x**6*(d + e*x)**m/(e**9*m**9 + 45*
e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e
**9*m**2 + 1026576*e**9*m + 362880*e**9) + 4320*b**2*c**2*d**7*e**2*m**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**
8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2
+ 1026576*e**9*m + 362880*e**9) + 73440*b**2*c**2*d**7*e**2*m*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e*
*9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576
*e**9*m + 362880*e**9) + 311040*b**2*c**2*d**7*e**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9
450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 3
62880*e**9) - 4320*b**2*c**2*d**6*e**3*m**3*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e*
*9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*
e**9) - 73440*b**2*c**2*d**6*e**3*m**2*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m*
*6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9)
- 311040*b**2*c**2*d**6*e**3*m*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63
273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 2160
*b**2*c**2*d**5*e**4*m**4*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273
*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 38880*b
**2*c**2*d**5*e**4*m**3*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e
**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 192240*b*
*2*c**2*d**5*e**4*m**2*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e*
*9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 155520*b**
2*c**2*d**5*e**4*m*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m
**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 720*b**2*c**2*
d**4*e**5*m**5*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5
+ 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 14400*b**2*c**2*d*
*4*e**5*m**4*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 +
269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 90000*b**2*c**2*d**4
*e**5*m**3*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 26
9325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 180000*b**2*c**2*d**4*
e**5*m**2*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269
325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 103680*b**2*c**2*d**4*e
**5*m*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*
e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 180*b**2*c**2*d**3*e**6*m**
6*x**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9
*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 4140*b**2*c**2*d**3*e**6*m**5*x
**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m*
*4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 33300*b**2*c**2*d**3*e**6*m**4*x**
4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4
+ 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 112500*b**2*c**2*d**3*e**6*m**3*x**4
*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4
+ 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 160920*b**2*c**2*d**3*e**6*m**2*x**4*
(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 +
723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 77760*b**2*c**2*d**3*e**6*m*x**4*(d +
e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 7236
80*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 36*b**2*c**2*d**2*e**7*m**7*x**5*(d + e*x)*
*m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e*
*9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 972*b**2*c**2*d**2*e**7*m**6*x**5*(d + e*x)**m/(
e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m
**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 9972*b**2*c**2*d**2*e**7*m**5*x**5*(d + e*x)**m/(e**
9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3
+ 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 49140*b**2*c**2*d**2*e**7*m**4*x**5*(d + e*x)**m/(e**9*
m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 +
1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 122184*b**2*c**2*d**2*e**7*m**3*x**5*(d + e*x)**m/(e**9*m
**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 +
1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 144288*b**2*c**2*d**2*e**7*m**2*x**5*(d + e*x)**m/(e**9*m*
*9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1
172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 62208*b**2*c**2*d**2*e**7*m*x**5*(d + e*x)**m/(e**9*m**9 +
45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 117270
0*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 6*b**2*c**2*d*e**8*m**8*x**6*(d + e*x)**m/(e**9*m**9 + 45*e**9*m
**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m*
*2 + 1026576*e**9*m + 362880*e**9) + 192*b**2*c**2*d*e**8*m**7*x**6*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 8
70*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 10
26576*e**9*m + 362880*e**9) + 2472*b**2*c**2*d*e**8*m**6*x**6*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**
9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*
e**9*m + 362880*e**9) + 16500*b**2*c**2*d*e**8*m**5*x**6*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**
7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*
m + 362880*e**9) + 61314*b**2*c**2*d*e**8*m**4*x**6*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9
450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 3
62880*e**9) + 125868*b**2*c**2*d*e**8*m**3*x**6*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*
e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 36288
0*e**9) + 130608*b**2*c**2*d*e**8*m**2*x**6*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9
*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e*
*9) + 51840*b**2*c**2*d*e**8*m*x**6*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 +
63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 6*
b**2*c**2*e**9*m**8*x**7*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*
m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 228*b**2*c**2
*e**9*m**7*x**7*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 26
9325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 3624*b**2*c**2*e**9*m*
*6*x**7*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**
9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 31332*b**2*c**2*e**9*m**5*x**7
*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4
+ 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 160314*b**2*c**2*e**9*m**4*x**7*(d +
e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 7236
80*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 493752*b**2*c**2*e**9*m**3*x**7*(d + e*x)**
m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**
9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 885816*b**2*c**2*e**9*m**2*x**7*(d + e*x)**m/(e**
9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3
+ 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 835488*b**2*c**2*e**9*m*x**7*(d + e*x)**m/(e**9*m**9 +
45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 117270
0*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 311040*b**2*c**2*e**9*x**7*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**
8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2
+ 1026576*e**9*m + 362880*e**9) - 20160*b*c**3*d**8*e*m*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**
7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*
m + 362880*e**9) - 181440*b*c**3*d**8*e*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**
6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9)
+ 20160*b*c**3*d**7*e**2*m**2*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 6327
3*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 181440
*b*c**3*d**7*e**2*m*x*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**
5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 10080*b*c**3*d**
6*e**3*m**3*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 2
69325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 100800*b*c**3*d**6*e*
*3*m**2*x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 26932
5*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 90720*b*c**3*d**6*e**3*m*
x**2*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m
**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 3360*b*c**3*d**5*e**4*m**4*x**3*(
d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 +
723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 40320*b*c**3*d**5*e**4*m**3*x**3*(d + e
*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 72368
0*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 97440*b*c**3*d**5*e**4*m**2*x**3*(d + e*x)**
m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**
9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 60480*b*c**3*d**5*e**4*m*x**3*(d + e*x)**m/(e**9*
m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 +
1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 840*b*c**3*d**4*e**5*m**5*x**4*(d + e*x)**m/(e**9*m**9 +
45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 117270
0*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 12600*b*c**3*d**4*e**5*m**4*x**4*(d + e*x)**m/(e**9*m**9 + 45*e*
*9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**
9*m**2 + 1026576*e**9*m + 362880*e**9) - 54600*b*c**3*d**4*e**5*m**3*x**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m*
*8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**
2 + 1026576*e**9*m + 362880*e**9) - 88200*b*c**3*d**4*e**5*m**2*x**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 +
870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1
026576*e**9*m + 362880*e**9) - 45360*b*c**3*d**4*e**5*m*x**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9
*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e
**9*m + 362880*e**9) + 168*b*c**3*d**3*e**6*m**6*x**5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 +
9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m +
362880*e**9) + 3192*b*c**3*d**3*e**6*m**5*x**5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*
e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 36288
0*e**9) + 21000*b*c**3*d**3*e**6*m**4*x**5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*
m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**
9) + 61320*b*c**3*d**3*e**6*m**3*x**5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6
+ 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) +
79632*b*c**3*d**3*e**6*m**2*x**5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 632
73*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 36288
*b*c**3*d**3*e**6*m*x**5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*
m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 28*b*c**3*d**
2*e**7*m**7*x**6*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 2
69325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 672*b*c**3*d**2*e**7*
m**6*x**6*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e
**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 6160*b*c**3*d**2*e**7*m**5*x
**6*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m*
*4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 27720*b*c**3*d**2*e**7*m**4*x**6*(
d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 +
723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 64372*b*c**3*d**2*e**7*m**3*x**6*(d + e
*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 72368
0*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 72408*b*c**3*d**2*e**7*m**2*x**6*(d + e*x)**
m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**
9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 30240*b*c**3*d**2*e**7*m*x**6*(d + e*x)**m/(e**9*
m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 +
1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 4*b*c**3*d*e**8*m**8*x**7*(d + e*x)**m/(e**9*m**9 + 45*e*
*9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**
9*m**2 + 1026576*e**9*m + 362880*e**9) + 120*b*c**3*d*e**8*m**7*x**7*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 +
870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1
026576*e**9*m + 362880*e**9) + 1456*b*c**3*d*e**8*m**6*x**7*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*
m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e*
*9*m + 362880*e**9) + 9240*b*c**3*d*e**8*m**5*x**7*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 94
50*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 36
2880*e**9) + 32956*b*c**3*d*e**8*m**4*x**7*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*
m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**
9) + 65520*b*c**3*d*e**8*m**3*x**7*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 6
3273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 663
84*b*c**3*d*e**8*m**2*x**7*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**
9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 25920*b*c**
3*d*e**8*m*x**7*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 26
9325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 4*b*c**3*e**9*m**8*x**
8*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4
+ 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 148*b*c**3*e**9*m**7*x**8*(d + e*x)*
*m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e*
*9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 2296*b*c**3*e**9*m**6*x**8*(d + e*x)**m/(e**9*m*
*9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1
172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 19432*b*c**3*e**9*m**5*x**8*(d + e*x)**m/(e**9*m**9 + 45*e*
*9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**
9*m**2 + 1026576*e**9*m + 362880*e**9) + 97636*b*c**3*e**9*m**4*x**8*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 +
870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1
026576*e**9*m + 362880*e**9) + 296212*b*c**3*e**9*m**3*x**8*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*
m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e*
*9*m + 362880*e**9) + 525024*b*c**3*e**9*m**2*x**8*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 94
50*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 36
2880*e**9) + 490608*b*c**3*e**9*m*x**8*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6
+ 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) +
181440*b*c**3*e**9*x**8*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*
m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 40320*c**4*d*
*9*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**
4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 40320*c**4*d**8*e*m*x*(d + e*x)**m/
(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*
m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 20160*c**4*d**7*e**2*m**2*x**2*(d + e*x)**m/(e**9*m
**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 +
1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 20160*c**4*d**7*e**2*m*x**2*(d + e*x)**m/(e**9*m**9 + 45*e
**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e*
*9*m**2 + 1026576*e**9*m + 362880*e**9) - 6720*c**4*d**6*e**3*m**3*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8
+ 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2
+ 1026576*e**9*m + 362880*e**9) - 20160*c**4*d**6*e**3*m**2*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*
e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 10265
76*e**9*m + 362880*e**9) - 13440*c**4*d**6*e**3*m*x**3*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7
+ 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m
+ 362880*e**9) + 1680*c**4*d**5*e**4*m**4*x**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e
**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880
*e**9) + 10080*c**4*d**5*e**4*m**3*x**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**
6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9)
+ 18480*c**4*d**5*e**4*m**2*x**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 632
73*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 10080
*c**4*d**5*e**4*m*x**4*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m*
*5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 336*c**4*d**4*e
**5*m**5*x**5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 2693
25*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 3360*c**4*d**4*e**5*m**4
*x**5*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*
m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 11760*c**4*d**4*e**5*m**3*x**5*(
d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 +
723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 16800*c**4*d**4*e**5*m**2*x**5*(d + e*x
)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*
e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 8064*c**4*d**4*e**5*m*x**5*(d + e*x)**m/(e**9*
m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 +
1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 56*c**4*d**3*e**6*m**6*x**6*(d + e*x)**m/(e**9*m**9 + 45*
e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e
**9*m**2 + 1026576*e**9*m + 362880*e**9) + 840*c**4*d**3*e**6*m**5*x**6*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8
+ 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2
+ 1026576*e**9*m + 362880*e**9) + 4760*c**4*d**3*e**6*m**4*x**6*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e
**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 102657
6*e**9*m + 362880*e**9) + 12600*c**4*d**3*e**6*m**3*x**6*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**
7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*
m + 362880*e**9) + 15344*c**4*d**3*e**6*m**2*x**6*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 945
0*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362
880*e**9) + 6720*c**4*d**3*e**6*m*x**6*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6
+ 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) -
8*c**4*d**2*e**7*m**7*x**7*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e*
*9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 168*c**4*d
**2*e**7*m**6*x**7*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 +
269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 1400*c**4*d**2*e**7
*m**5*x**7*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*
e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 5880*c**4*d**2*e**7*m**4*x*
*7*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**
4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 12992*c**4*d**2*e**7*m**3*x**7*(d +
e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723
680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 14112*c**4*d**2*e**7*m**2*x**7*(d + e*x)**
m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**
9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) - 5760*c**4*d**2*e**7*m*x**7*(d + e*x)**m/(e**9*m**
9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 11
72700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + c**4*d*e**8*m**8*x**8*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8
+ 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2
+ 1026576*e**9*m + 362880*e**9) + 28*c**4*d*e**8*m**7*x**8*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m
**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**
9*m + 362880*e**9) + 322*c**4*d*e**8*m**6*x**8*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e
**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880
*e**9) + 1960*c**4*d*e**8*m**5*x**8*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 +
63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 67
69*c**4*d*e**8*m**4*x**8*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*
m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 13132*c**4*d*
e**8*m**3*x**8*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269
325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 13068*c**4*d*e**8*m**2*
x**8*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m
**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 5040*c**4*d*e**8*m*x**8*(d + e*x)
**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e
**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + c**4*e**9*m**8*x**9*(d + e*x)**m/(e**9*m**9 + 4
5*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700
*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 36*c**4*e**9*m**7*x**9*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 8
70*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 10
26576*e**9*m + 362880*e**9) + 546*c**4*e**9*m**6*x**9*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 +
9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m +
362880*e**9) + 4536*c**4*e**9*m**5*x**9*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m*
*6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9)
+ 22449*c**4*e**9*m**4*x**9*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e
**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 67284*c**
4*e**9*m**3*x**9*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 2
69325*e**9*m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 118124*c**4*e**9*m**2
*x**9*(d + e*x)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*
m**4 + 723680*e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 109584*c**4*e**9*m*x**9*(d + e*x
)**m/(e**9*m**9 + 45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*
e**9*m**3 + 1172700*e**9*m**2 + 1026576*e**9*m + 362880*e**9) + 40320*c**4*e**9*x**9*(d + e*x)**m/(e**9*m**9 +
45*e**9*m**8 + 870*e**9*m**7 + 9450*e**9*m**6 + 63273*e**9*m**5 + 269325*e**9*m**4 + 723680*e**9*m**3 + 11727
00*e**9*m**2 + 1026576*e**9*m + 362880*e**9), True))

Maxima [B] (verification not implemented)

Leaf count of result is larger than twice the leaf count of optimal. 2342 vs. \(2 (485) = 970\).

Time = 0.27 (sec) , antiderivative size = 2342, normalized size of antiderivative = 4.83 \[ \int (d+e x)^m \left (a+b x+c x^2\right )^4 \, dx=\text {Too large to display} \]

[In]

integrate((e*x+d)^m*(c*x^2+b*x+a)^4,x, algorithm="maxima")

[Out]

4*(e^2*(m + 1)*x^2 + d*e*m*x - d^2)*(e*x + d)^m*a^3*b/((m^2 + 3*m + 2)*e^2) + (e*x + d)^(m + 1)*a^4/(e*(m + 1)
) + 6*((m^2 + 3*m + 2)*e^3*x^3 + (m^2 + m)*d*e^2*x^2 - 2*d^2*e*m*x + 2*d^3)*(e*x + d)^m*a^2*b^2/((m^3 + 6*m^2
+ 11*m + 6)*e^3) + 4*((m^2 + 3*m + 2)*e^3*x^3 + (m^2 + m)*d*e^2*x^2 - 2*d^2*e*m*x + 2*d^3)*(e*x + d)^m*a^3*c/(
(m^3 + 6*m^2 + 11*m + 6)*e^3) + 4*((m^3 + 6*m^2 + 11*m + 6)*e^4*x^4 + (m^3 + 3*m^2 + 2*m)*d*e^3*x^3 - 3*(m^2 +
m)*d^2*e^2*x^2 + 6*d^3*e*m*x - 6*d^4)*(e*x + d)^m*a*b^3/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^4) + 12*((m^3
+ 6*m^2 + 11*m + 6)*e^4*x^4 + (m^3 + 3*m^2 + 2*m)*d*e^3*x^3 - 3*(m^2 + m)*d^2*e^2*x^2 + 6*d^3*e*m*x - 6*d^4)*(
e*x + d)^m*a^2*b*c/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^4) + ((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^5*x^5 +
(m^4 + 6*m^3 + 11*m^2 + 6*m)*d*e^4*x^4 - 4*(m^3 + 3*m^2 + 2*m)*d^2*e^3*x^3 + 12*(m^2 + m)*d^3*e^2*x^2 - 24*d^4
*e*m*x + 24*d^5)*(e*x + d)^m*b^4/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^5) + 12*((m^4 + 10*m^3 + 3
5*m^2 + 50*m + 24)*e^5*x^5 + (m^4 + 6*m^3 + 11*m^2 + 6*m)*d*e^4*x^4 - 4*(m^3 + 3*m^2 + 2*m)*d^2*e^3*x^3 + 12*(
m^2 + m)*d^3*e^2*x^2 - 24*d^4*e*m*x + 24*d^5)*(e*x + d)^m*a*b^2*c/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m +
120)*e^5) + 6*((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^5*x^5 + (m^4 + 6*m^3 + 11*m^2 + 6*m)*d*e^4*x^4 - 4*(m^3 +
3*m^2 + 2*m)*d^2*e^3*x^3 + 12*(m^2 + m)*d^3*e^2*x^2 - 24*d^4*e*m*x + 24*d^5)*(e*x + d)^m*a^2*c^2/((m^5 + 15*m
^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^5) + 4*((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^6*x^6 + (m^5
+ 10*m^4 + 35*m^3 + 50*m^2 + 24*m)*d*e^5*x^5 - 5*(m^4 + 6*m^3 + 11*m^2 + 6*m)*d^2*e^4*x^4 + 20*(m^3 + 3*m^2 +
2*m)*d^3*e^3*x^3 - 60*(m^2 + m)*d^4*e^2*x^2 + 120*d^5*e*m*x - 120*d^6)*(e*x + d)^m*b^3*c/((m^6 + 21*m^5 + 175*
m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)*e^6) + 12*((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^6*x^6 +
(m^5 + 10*m^4 + 35*m^3 + 50*m^2 + 24*m)*d*e^5*x^5 - 5*(m^4 + 6*m^3 + 11*m^2 + 6*m)*d^2*e^4*x^4 + 20*(m^3 + 3*m
^2 + 2*m)*d^3*e^3*x^3 - 60*(m^2 + m)*d^4*e^2*x^2 + 120*d^5*e*m*x - 120*d^6)*(e*x + d)^m*a*b*c^2/((m^6 + 21*m^5
+ 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 720)*e^6) + 6*((m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*
m + 720)*e^7*x^7 + (m^6 + 15*m^5 + 85*m^4 + 225*m^3 + 274*m^2 + 120*m)*d*e^6*x^6 - 6*(m^5 + 10*m^4 + 35*m^3 +
50*m^2 + 24*m)*d^2*e^5*x^5 + 30*(m^4 + 6*m^3 + 11*m^2 + 6*m)*d^3*e^4*x^4 - 120*(m^3 + 3*m^2 + 2*m)*d^4*e^3*x^3
+ 360*(m^2 + m)*d^5*e^2*x^2 - 720*d^6*e*m*x + 720*d^7)*(e*x + d)^m*b^2*c^2/((m^7 + 28*m^6 + 322*m^5 + 1960*m^
4 + 6769*m^3 + 13132*m^2 + 13068*m + 5040)*e^7) + 4*((m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 7
20)*e^7*x^7 + (m^6 + 15*m^5 + 85*m^4 + 225*m^3 + 274*m^2 + 120*m)*d*e^6*x^6 - 6*(m^5 + 10*m^4 + 35*m^3 + 50*m^
2 + 24*m)*d^2*e^5*x^5 + 30*(m^4 + 6*m^3 + 11*m^2 + 6*m)*d^3*e^4*x^4 - 120*(m^3 + 3*m^2 + 2*m)*d^4*e^3*x^3 + 36
0*(m^2 + m)*d^5*e^2*x^2 - 720*d^6*e*m*x + 720*d^7)*(e*x + d)^m*a*c^3/((m^7 + 28*m^6 + 322*m^5 + 1960*m^4 + 676
9*m^3 + 13132*m^2 + 13068*m + 5040)*e^7) + 4*((m^7 + 28*m^6 + 322*m^5 + 1960*m^4 + 6769*m^3 + 13132*m^2 + 1306
8*m + 5040)*e^8*x^8 + (m^7 + 21*m^6 + 175*m^5 + 735*m^4 + 1624*m^3 + 1764*m^2 + 720*m)*d*e^7*x^7 - 7*(m^6 + 15
*m^5 + 85*m^4 + 225*m^3 + 274*m^2 + 120*m)*d^2*e^6*x^6 + 42*(m^5 + 10*m^4 + 35*m^3 + 50*m^2 + 24*m)*d^3*e^5*x^
5 - 210*(m^4 + 6*m^3 + 11*m^2 + 6*m)*d^4*e^4*x^4 + 840*(m^3 + 3*m^2 + 2*m)*d^5*e^3*x^3 - 2520*(m^2 + m)*d^6*e^
2*x^2 + 5040*d^7*e*m*x - 5040*d^8)*(e*x + d)^m*b*c^3/((m^8 + 36*m^7 + 546*m^6 + 4536*m^5 + 22449*m^4 + 67284*m
^3 + 118124*m^2 + 109584*m + 40320)*e^8) + ((m^8 + 36*m^7 + 546*m^6 + 4536*m^5 + 22449*m^4 + 67284*m^3 + 11812
4*m^2 + 109584*m + 40320)*e^9*x^9 + (m^8 + 28*m^7 + 322*m^6 + 1960*m^5 + 6769*m^4 + 13132*m^3 + 13068*m^2 + 50
40*m)*d*e^8*x^8 - 8*(m^7 + 21*m^6 + 175*m^5 + 735*m^4 + 1624*m^3 + 1764*m^2 + 720*m)*d^2*e^7*x^7 + 56*(m^6 + 1
5*m^5 + 85*m^4 + 225*m^3 + 274*m^2 + 120*m)*d^3*e^6*x^6 - 336*(m^5 + 10*m^4 + 35*m^3 + 50*m^2 + 24*m)*d^4*e^5*
x^5 + 1680*(m^4 + 6*m^3 + 11*m^2 + 6*m)*d^5*e^4*x^4 - 6720*(m^3 + 3*m^2 + 2*m)*d^6*e^3*x^3 + 20160*(m^2 + m)*d
^7*e^2*x^2 - 40320*d^8*e*m*x + 40320*d^9)*(e*x + d)^m*c^4/((m^9 + 45*m^8 + 870*m^7 + 9450*m^6 + 63273*m^5 + 26
9325*m^4 + 723680*m^3 + 1172700*m^2 + 1026576*m + 362880)*e^9)

Giac [B] (verification not implemented)

Leaf count of result is larger than twice the leaf count of optimal. 13146 vs. \(2 (485) = 970\).

Time = 0.36 (sec) , antiderivative size = 13146, normalized size of antiderivative = 27.11 \[ \int (d+e x)^m \left (a+b x+c x^2\right )^4 \, dx=\text {Too large to display} \]

[In]

integrate((e*x+d)^m*(c*x^2+b*x+a)^4,x, algorithm="giac")

[Out]

((e*x + d)^m*c^4*e^9*m^8*x^9 + (e*x + d)^m*c^4*d*e^8*m^8*x^8 + 4*(e*x + d)^m*b*c^3*e^9*m^8*x^8 + 36*(e*x + d)^
m*c^4*e^9*m^7*x^9 + 4*(e*x + d)^m*b*c^3*d*e^8*m^8*x^7 + 6*(e*x + d)^m*b^2*c^2*e^9*m^8*x^7 + 4*(e*x + d)^m*a*c^
3*e^9*m^8*x^7 + 28*(e*x + d)^m*c^4*d*e^8*m^7*x^8 + 148*(e*x + d)^m*b*c^3*e^9*m^7*x^8 + 546*(e*x + d)^m*c^4*e^9
*m^6*x^9 + 6*(e*x + d)^m*b^2*c^2*d*e^8*m^8*x^6 + 4*(e*x + d)^m*a*c^3*d*e^8*m^8*x^6 + 4*(e*x + d)^m*b^3*c*e^9*m
^8*x^6 + 12*(e*x + d)^m*a*b*c^2*e^9*m^8*x^6 - 8*(e*x + d)^m*c^4*d^2*e^7*m^7*x^7 + 120*(e*x + d)^m*b*c^3*d*e^8*
m^7*x^7 + 228*(e*x + d)^m*b^2*c^2*e^9*m^7*x^7 + 152*(e*x + d)^m*a*c^3*e^9*m^7*x^7 + 322*(e*x + d)^m*c^4*d*e^8*
m^6*x^8 + 2296*(e*x + d)^m*b*c^3*e^9*m^6*x^8 + 4536*(e*x + d)^m*c^4*e^9*m^5*x^9 + 4*(e*x + d)^m*b^3*c*d*e^8*m^
8*x^5 + 12*(e*x + d)^m*a*b*c^2*d*e^8*m^8*x^5 + (e*x + d)^m*b^4*e^9*m^8*x^5 + 12*(e*x + d)^m*a*b^2*c*e^9*m^8*x^
5 + 6*(e*x + d)^m*a^2*c^2*e^9*m^8*x^5 - 28*(e*x + d)^m*b*c^3*d^2*e^7*m^7*x^6 + 192*(e*x + d)^m*b^2*c^2*d*e^8*m
^7*x^6 + 128*(e*x + d)^m*a*c^3*d*e^8*m^7*x^6 + 156*(e*x + d)^m*b^3*c*e^9*m^7*x^6 + 468*(e*x + d)^m*a*b*c^2*e^9
*m^7*x^6 - 168*(e*x + d)^m*c^4*d^2*e^7*m^6*x^7 + 1456*(e*x + d)^m*b*c^3*d*e^8*m^6*x^7 + 3624*(e*x + d)^m*b^2*c
^2*e^9*m^6*x^7 + 2416*(e*x + d)^m*a*c^3*e^9*m^6*x^7 + 1960*(e*x + d)^m*c^4*d*e^8*m^5*x^8 + 19432*(e*x + d)^m*b
*c^3*e^9*m^5*x^8 + 22449*(e*x + d)^m*c^4*e^9*m^4*x^9 + (e*x + d)^m*b^4*d*e^8*m^8*x^4 + 12*(e*x + d)^m*a*b^2*c*
d*e^8*m^8*x^4 + 6*(e*x + d)^m*a^2*c^2*d*e^8*m^8*x^4 + 4*(e*x + d)^m*a*b^3*e^9*m^8*x^4 + 12*(e*x + d)^m*a^2*b*c
*e^9*m^8*x^4 - 36*(e*x + d)^m*b^2*c^2*d^2*e^7*m^7*x^5 - 24*(e*x + d)^m*a*c^3*d^2*e^7*m^7*x^5 + 136*(e*x + d)^m
*b^3*c*d*e^8*m^7*x^5 + 408*(e*x + d)^m*a*b*c^2*d*e^8*m^7*x^5 + 40*(e*x + d)^m*b^4*e^9*m^7*x^5 + 480*(e*x + d)^
m*a*b^2*c*e^9*m^7*x^5 + 240*(e*x + d)^m*a^2*c^2*e^9*m^7*x^5 + 56*(e*x + d)^m*c^4*d^3*e^6*m^6*x^6 - 672*(e*x +
d)^m*b*c^3*d^2*e^7*m^6*x^6 + 2472*(e*x + d)^m*b^2*c^2*d*e^8*m^6*x^6 + 1648*(e*x + d)^m*a*c^3*d*e^8*m^6*x^6 + 2
544*(e*x + d)^m*b^3*c*e^9*m^6*x^6 + 7632*(e*x + d)^m*a*b*c^2*e^9*m^6*x^6 - 1400*(e*x + d)^m*c^4*d^2*e^7*m^5*x^
7 + 9240*(e*x + d)^m*b*c^3*d*e^8*m^5*x^7 + 31332*(e*x + d)^m*b^2*c^2*e^9*m^5*x^7 + 20888*(e*x + d)^m*a*c^3*e^9
*m^5*x^7 + 6769*(e*x + d)^m*c^4*d*e^8*m^4*x^8 + 97636*(e*x + d)^m*b*c^3*e^9*m^4*x^8 + 67284*(e*x + d)^m*c^4*e^
9*m^3*x^9 + 4*(e*x + d)^m*a*b^3*d*e^8*m^8*x^3 + 12*(e*x + d)^m*a^2*b*c*d*e^8*m^8*x^3 + 6*(e*x + d)^m*a^2*b^2*e
^9*m^8*x^3 + 4*(e*x + d)^m*a^3*c*e^9*m^8*x^3 - 20*(e*x + d)^m*b^3*c*d^2*e^7*m^7*x^4 - 60*(e*x + d)^m*a*b*c^2*d
^2*e^7*m^7*x^4 + 36*(e*x + d)^m*b^4*d*e^8*m^7*x^4 + 432*(e*x + d)^m*a*b^2*c*d*e^8*m^7*x^4 + 216*(e*x + d)^m*a^
2*c^2*d*e^8*m^7*x^4 + 164*(e*x + d)^m*a*b^3*e^9*m^7*x^4 + 492*(e*x + d)^m*a^2*b*c*e^9*m^7*x^4 + 168*(e*x + d)^
m*b*c^3*d^3*e^6*m^6*x^5 - 972*(e*x + d)^m*b^2*c^2*d^2*e^7*m^6*x^5 - 648*(e*x + d)^m*a*c^3*d^2*e^7*m^6*x^5 + 18
64*(e*x + d)^m*b^3*c*d*e^8*m^6*x^5 + 5592*(e*x + d)^m*a*b*c^2*d*e^8*m^6*x^5 + 670*(e*x + d)^m*b^4*e^9*m^6*x^5
+ 8040*(e*x + d)^m*a*b^2*c*e^9*m^6*x^5 + 4020*(e*x + d)^m*a^2*c^2*e^9*m^6*x^5 + 840*(e*x + d)^m*c^4*d^3*e^6*m^
5*x^6 - 6160*(e*x + d)^m*b*c^3*d^2*e^7*m^5*x^6 + 16500*(e*x + d)^m*b^2*c^2*d*e^8*m^5*x^6 + 11000*(e*x + d)^m*a
*c^3*d*e^8*m^5*x^6 + 22536*(e*x + d)^m*b^3*c*e^9*m^5*x^6 + 67608*(e*x + d)^m*a*b*c^2*e^9*m^5*x^6 - 5880*(e*x +
d)^m*c^4*d^2*e^7*m^4*x^7 + 32956*(e*x + d)^m*b*c^3*d*e^8*m^4*x^7 + 160314*(e*x + d)^m*b^2*c^2*e^9*m^4*x^7 + 1
06876*(e*x + d)^m*a*c^3*e^9*m^4*x^7 + 13132*(e*x + d)^m*c^4*d*e^8*m^3*x^8 + 296212*(e*x + d)^m*b*c^3*e^9*m^3*x
^8 + 118124*(e*x + d)^m*c^4*e^9*m^2*x^9 + 6*(e*x + d)^m*a^2*b^2*d*e^8*m^8*x^2 + 4*(e*x + d)^m*a^3*c*d*e^8*m^8*
x^2 + 4*(e*x + d)^m*a^3*b*e^9*m^8*x^2 - 4*(e*x + d)^m*b^4*d^2*e^7*m^7*x^3 - 48*(e*x + d)^m*a*b^2*c*d^2*e^7*m^7
*x^3 - 24*(e*x + d)^m*a^2*c^2*d^2*e^7*m^7*x^3 + 152*(e*x + d)^m*a*b^3*d*e^8*m^7*x^3 + 456*(e*x + d)^m*a^2*b*c*
d*e^8*m^7*x^3 + 252*(e*x + d)^m*a^2*b^2*e^9*m^7*x^3 + 168*(e*x + d)^m*a^3*c*e^9*m^7*x^3 + 180*(e*x + d)^m*b^2*
c^2*d^3*e^6*m^6*x^4 + 120*(e*x + d)^m*a*c^3*d^3*e^6*m^6*x^4 - 600*(e*x + d)^m*b^3*c*d^2*e^7*m^6*x^4 - 1800*(e*
x + d)^m*a*b*c^2*d^2*e^7*m^6*x^4 + 526*(e*x + d)^m*b^4*d*e^8*m^6*x^4 + 6312*(e*x + d)^m*a*b^2*c*d*e^8*m^6*x^4
+ 3156*(e*x + d)^m*a^2*c^2*d*e^8*m^6*x^4 + 2824*(e*x + d)^m*a*b^3*e^9*m^6*x^4 + 8472*(e*x + d)^m*a^2*b*c*e^9*m
^6*x^4 - 336*(e*x + d)^m*c^4*d^4*e^5*m^5*x^5 + 3192*(e*x + d)^m*b*c^3*d^3*e^6*m^5*x^5 - 9972*(e*x + d)^m*b^2*c
^2*d^2*e^7*m^5*x^5 - 6648*(e*x + d)^m*a*c^3*d^2*e^7*m^5*x^5 + 13216*(e*x + d)^m*b^3*c*d*e^8*m^5*x^5 + 39648*(e
*x + d)^m*a*b*c^2*d*e^8*m^5*x^5 + 6100*(e*x + d)^m*b^4*e^9*m^5*x^5 + 73200*(e*x + d)^m*a*b^2*c*e^9*m^5*x^5 + 3
6600*(e*x + d)^m*a^2*c^2*e^9*m^5*x^5 + 4760*(e*x + d)^m*c^4*d^3*e^6*m^4*x^6 - 27720*(e*x + d)^m*b*c^3*d^2*e^7*
m^4*x^6 + 61314*(e*x + d)^m*b^2*c^2*d*e^8*m^4*x^6 + 40876*(e*x + d)^m*a*c^3*d*e^8*m^4*x^6 + 117876*(e*x + d)^m
*b^3*c*e^9*m^4*x^6 + 353628*(e*x + d)^m*a*b*c^2*e^9*m^4*x^6 - 12992*(e*x + d)^m*c^4*d^2*e^7*m^3*x^7 + 65520*(e
*x + d)^m*b*c^3*d*e^8*m^3*x^7 + 493752*(e*x + d)^m*b^2*c^2*e^9*m^3*x^7 + 329168*(e*x + d)^m*a*c^3*e^9*m^3*x^7
+ 13068*(e*x + d)^m*c^4*d*e^8*m^2*x^8 + 525024*(e*x + d)^m*b*c^3*e^9*m^2*x^8 + 109584*(e*x + d)^m*c^4*e^9*m*x^
9 + 4*(e*x + d)^m*a^3*b*d*e^8*m^8*x + (e*x + d)^m*a^4*e^9*m^8*x - 12*(e*x + d)^m*a*b^3*d^2*e^7*m^7*x^2 - 36*(e
*x + d)^m*a^2*b*c*d^2*e^7*m^7*x^2 + 240*(e*x + d)^m*a^2*b^2*d*e^8*m^7*x^2 + 160*(e*x + d)^m*a^3*c*d*e^8*m^7*x^
2 + 172*(e*x + d)^m*a^3*b*e^9*m^7*x^2 + 80*(e*x + d)^m*b^3*c*d^3*e^6*m^6*x^3 + 240*(e*x + d)^m*a*b*c^2*d^3*e^6
*m^6*x^3 - 132*(e*x + d)^m*b^4*d^2*e^7*m^6*x^3 - 1584*(e*x + d)^m*a*b^2*c*d^2*e^7*m^6*x^3 - 792*(e*x + d)^m*a^
2*c^2*d^2*e^7*m^6*x^3 + 2368*(e*x + d)^m*a*b^3*d*e^8*m^6*x^3 + 7104*(e*x + d)^m*a^2*b*c*d*e^8*m^6*x^3 + 4464*(
e*x + d)^m*a^2*b^2*e^9*m^6*x^3 + 2976*(e*x + d)^m*a^3*c*e^9*m^6*x^3 - 840*(e*x + d)^m*b*c^3*d^4*e^5*m^5*x^4 +
4140*(e*x + d)^m*b^2*c^2*d^3*e^6*m^5*x^4 + 2760*(e*x + d)^m*a*c^3*d^3*e^6*m^5*x^4 - 6920*(e*x + d)^m*b^3*c*d^2
*e^7*m^5*x^4 - 20760*(e*x + d)^m*a*b*c^2*d^2*e^7*m^5*x^4 + 3996*(e*x + d)^m*b^4*d*e^8*m^5*x^4 + 47952*(e*x + d
)^m*a*b^2*c*d*e^8*m^5*x^4 + 23976*(e*x + d)^m*a^2*c^2*d*e^8*m^5*x^4 + 26504*(e*x + d)^m*a*b^3*e^9*m^5*x^4 + 79
512*(e*x + d)^m*a^2*b*c*e^9*m^5*x^4 - 3360*(e*x + d)^m*c^4*d^4*e^5*m^4*x^5 + 21000*(e*x + d)^m*b*c^3*d^3*e^6*m
^4*x^5 - 49140*(e*x + d)^m*b^2*c^2*d^2*e^7*m^4*x^5 - 32760*(e*x + d)^m*a*c^3*d^2*e^7*m^4*x^5 + 51796*(e*x + d)
^m*b^3*c*d*e^8*m^4*x^5 + 155388*(e*x + d)^m*a*b*c^2*d*e^8*m^4*x^5 + 32773*(e*x + d)^m*b^4*e^9*m^4*x^5 + 393276
*(e*x + d)^m*a*b^2*c*e^9*m^4*x^5 + 196638*(e*x + d)^m*a^2*c^2*e^9*m^4*x^5 + 12600*(e*x + d)^m*c^4*d^3*e^6*m^3*
x^6 - 64372*(e*x + d)^m*b*c^3*d^2*e^7*m^3*x^6 + 125868*(e*x + d)^m*b^2*c^2*d*e^8*m^3*x^6 + 83912*(e*x + d)^m*a
*c^3*d*e^8*m^3*x^6 + 370044*(e*x + d)^m*b^3*c*e^9*m^3*x^6 + 1110132*(e*x + d)^m*a*b*c^2*e^9*m^3*x^6 - 14112*(e
*x + d)^m*c^4*d^2*e^7*m^2*x^7 + 66384*(e*x + d)^m*b*c^3*d*e^8*m^2*x^7 + 885816*(e*x + d)^m*b^2*c^2*e^9*m^2*x^7
+ 590544*(e*x + d)^m*a*c^3*e^9*m^2*x^7 + 5040*(e*x + d)^m*c^4*d*e^8*m*x^8 + 490608*(e*x + d)^m*b*c^3*e^9*m*x^
8 + 40320*(e*x + d)^m*c^4*e^9*x^9 + (e*x + d)^m*a^4*d*e^8*m^8 - 12*(e*x + d)^m*a^2*b^2*d^2*e^7*m^7*x - 8*(e*x
+ d)^m*a^3*c*d^2*e^7*m^7*x + 168*(e*x + d)^m*a^3*b*d*e^8*m^7*x + 44*(e*x + d)^m*a^4*e^9*m^7*x + 12*(e*x + d)^m
*b^4*d^3*e^6*m^6*x^2 + 144*(e*x + d)^m*a*b^2*c*d^3*e^6*m^6*x^2 + 72*(e*x + d)^m*a^2*c^2*d^3*e^6*m^6*x^2 - 432*
(e*x + d)^m*a*b^3*d^2*e^7*m^6*x^2 - 1296*(e*x + d)^m*a^2*b*c*d^2*e^7*m^6*x^2 + 3984*(e*x + d)^m*a^2*b^2*d*e^8*
m^6*x^2 + 2656*(e*x + d)^m*a^3*c*d*e^8*m^6*x^2 + 3136*(e*x + d)^m*a^3*b*e^9*m^6*x^2 - 720*(e*x + d)^m*b^2*c^2*
d^4*e^5*m^5*x^3 - 480*(e*x + d)^m*a*c^3*d^4*e^5*m^5*x^3 + 2160*(e*x + d)^m*b^3*c*d^3*e^6*m^5*x^3 + 6480*(e*x +
d)^m*a*b*c^2*d^3*e^6*m^5*x^3 - 1708*(e*x + d)^m*b^4*d^2*e^7*m^5*x^3 - 20496*(e*x + d)^m*a*b^2*c*d^2*e^7*m^5*x
^3 - 10248*(e*x + d)^m*a^2*c^2*d^2*e^7*m^5*x^3 + 19400*(e*x + d)^m*a*b^3*d*e^8*m^5*x^3 + 58200*(e*x + d)^m*a^2
*b*c*d*e^8*m^5*x^3 + 43308*(e*x + d)^m*a^2*b^2*e^9*m^5*x^3 + 28872*(e*x + d)^m*a^3*c*e^9*m^5*x^3 + 1680*(e*x +
d)^m*c^4*d^5*e^4*m^4*x^4 - 12600*(e*x + d)^m*b*c^3*d^4*e^5*m^4*x^4 + 33300*(e*x + d)^m*b^2*c^2*d^3*e^6*m^4*x^
4 + 22200*(e*x + d)^m*a*c^3*d^3*e^6*m^4*x^4 - 38400*(e*x + d)^m*b^3*c*d^2*e^7*m^4*x^4 - 115200*(e*x + d)^m*a*b
*c^2*d^2*e^7*m^4*x^4 + 16789*(e*x + d)^m*b^4*d*e^8*m^4*x^4 + 201468*(e*x + d)^m*a*b^2*c*d*e^8*m^4*x^4 + 100734
*(e*x + d)^m*a^2*c^2*d*e^8*m^4*x^4 + 147076*(e*x + d)^m*a*b^3*e^9*m^4*x^4 + 441228*(e*x + d)^m*a^2*b*c*e^9*m^4
*x^4 - 11760*(e*x + d)^m*c^4*d^4*e^5*m^3*x^5 + 61320*(e*x + d)^m*b*c^3*d^3*e^6*m^3*x^5 - 122184*(e*x + d)^m*b^
2*c^2*d^2*e^7*m^3*x^5 - 81456*(e*x + d)^m*a*c^3*d^2*e^7*m^3*x^5 + 111064*(e*x + d)^m*b^3*c*d*e^8*m^3*x^5 + 333
192*(e*x + d)^m*a*b*c^2*d*e^8*m^3*x^5 + 105460*(e*x + d)^m*b^4*e^9*m^3*x^5 + 1265520*(e*x + d)^m*a*b^2*c*e^9*m
^3*x^5 + 632760*(e*x + d)^m*a^2*c^2*e^9*m^3*x^5 + 15344*(e*x + d)^m*c^4*d^3*e^6*m^2*x^6 - 72408*(e*x + d)^m*b*
c^3*d^2*e^7*m^2*x^6 + 130608*(e*x + d)^m*b^2*c^2*d*e^8*m^2*x^6 + 87072*(e*x + d)^m*a*c^3*d*e^8*m^2*x^6 + 67445
6*(e*x + d)^m*b^3*c*e^9*m^2*x^6 + 2023368*(e*x + d)^m*a*b*c^2*e^9*m^2*x^6 - 5760*(e*x + d)^m*c^4*d^2*e^7*m*x^7
+ 25920*(e*x + d)^m*b*c^3*d*e^8*m*x^7 + 835488*(e*x + d)^m*b^2*c^2*e^9*m*x^7 + 556992*(e*x + d)^m*a*c^3*e^9*m
*x^7 + 181440*(e*x + d)^m*b*c^3*e^9*x^8 - 4*(e*x + d)^m*a^3*b*d^2*e^7*m^7 + 44*(e*x + d)^m*a^4*d*e^8*m^7 + 24*
(e*x + d)^m*a*b^3*d^3*e^6*m^6*x + 72*(e*x + d)^m*a^2*b*c*d^3*e^6*m^6*x - 468*(e*x + d)^m*a^2*b^2*d^2*e^7*m^6*x
- 312*(e*x + d)^m*a^3*c*d^2*e^7*m^6*x + 2968*(e*x + d)^m*a^3*b*d*e^8*m^6*x + 826*(e*x + d)^m*a^4*e^9*m^6*x -
240*(e*x + d)^m*b^3*c*d^4*e^5*m^5*x^2 - 720*(e*x + d)^m*a*b*c^2*d^4*e^5*m^5*x^2 + 372*(e*x + d)^m*b^4*d^3*e^6*
m^5*x^2 + 4464*(e*x + d)^m*a*b^2*c*d^3*e^6*m^5*x^2 + 2232*(e*x + d)^m*a^2*c^2*d^3*e^6*m^5*x^2 - 6240*(e*x + d)
^m*a*b^3*d^2*e^7*m^5*x^2 - 18720*(e*x + d)^m*a^2*b*c*d^2*e^7*m^5*x^2 + 35340*(e*x + d)^m*a^2*b^2*d*e^8*m^5*x^2
+ 23560*(e*x + d)^m*a^3*c*d*e^8*m^5*x^2 + 31528*(e*x + d)^m*a^3*b*e^9*m^5*x^2 + 3360*(e*x + d)^m*b*c^3*d^5*e^
4*m^4*x^3 - 14400*(e*x + d)^m*b^2*c^2*d^4*e^5*m^4*x^3 - 9600*(e*x + d)^m*a*c^3*d^4*e^5*m^4*x^3 + 21200*(e*x +
d)^m*b^3*c*d^3*e^6*m^4*x^3 + 63600*(e*x + d)^m*a*b*c^2*d^3*e^6*m^4*x^3 - 10860*(e*x + d)^m*b^4*d^2*e^7*m^4*x^3
- 130320*(e*x + d)^m*a*b^2*c*d^2*e^7*m^4*x^3 - 65160*(e*x + d)^m*a^2*c^2*d^2*e^7*m^4*x^3 + 88876*(e*x + d)^m*
a*b^3*d*e^8*m^4*x^3 + 266628*(e*x + d)^m*a^2*b*c*d*e^8*m^4*x^3 + 249714*(e*x + d)^m*a^2*b^2*e^9*m^4*x^3 + 1664
76*(e*x + d)^m*a^3*c*e^9*m^4*x^3 + 10080*(e*x + d)^m*c^4*d^5*e^4*m^3*x^4 - 54600*(e*x + d)^m*b*c^3*d^4*e^5*m^3
*x^4 + 112500*(e*x + d)^m*b^2*c^2*d^3*e^6*m^3*x^4 + 75000*(e*x + d)^m*a*c^3*d^3*e^6*m^3*x^4 - 105380*(e*x + d)
^m*b^3*c*d^2*e^7*m^3*x^4 - 316140*(e*x + d)^m*a*b*c^2*d^2*e^7*m^3*x^4 + 38304*(e*x + d)^m*b^4*d*e^8*m^3*x^4 +
459648*(e*x + d)^m*a*b^2*c*d*e^8*m^3*x^4 + 229824*(e*x + d)^m*a^2*c^2*d*e^8*m^3*x^4 + 488996*(e*x + d)^m*a*b^3
*e^9*m^3*x^4 + 1466988*(e*x + d)^m*a^2*b*c*e^9*m^3*x^4 - 16800*(e*x + d)^m*c^4*d^4*e^5*m^2*x^5 + 79632*(e*x +
d)^m*b*c^3*d^3*e^6*m^2*x^5 - 144288*(e*x + d)^m*b^2*c^2*d^2*e^7*m^2*x^5 - 96192*(e*x + d)^m*a*c^3*d^2*e^7*m^2*
x^5 + 119136*(e*x + d)^m*b^3*c*d*e^8*m^2*x^5 + 357408*(e*x + d)^m*a*b*c^2*d*e^8*m^2*x^5 + 196380*(e*x + d)^m*b
^4*e^9*m^2*x^5 + 2356560*(e*x + d)^m*a*b^2*c*e^9*m^2*x^5 + 1178280*(e*x + d)^m*a^2*c^2*e^9*m^2*x^5 + 6720*(e*x
+ d)^m*c^4*d^3*e^6*m*x^6 - 30240*(e*x + d)^m*b*c^3*d^2*e^7*m*x^6 + 51840*(e*x + d)^m*b^2*c^2*d*e^8*m*x^6 + 34
560*(e*x + d)^m*a*c^3*d*e^8*m*x^6 + 644064*(e*x + d)^m*b^3*c*e^9*m*x^6 + 1932192*(e*x + d)^m*a*b*c^2*e^9*m*x^6
+ 311040*(e*x + d)^m*b^2*c^2*e^9*x^7 + 207360*(e*x + d)^m*a*c^3*e^9*x^7 + 12*(e*x + d)^m*a^2*b^2*d^3*e^6*m^6
+ 8*(e*x + d)^m*a^3*c*d^3*e^6*m^6 - 168*(e*x + d)^m*a^3*b*d^2*e^7*m^6 + 826*(e*x + d)^m*a^4*d*e^8*m^6 - 24*(e*
x + d)^m*b^4*d^4*e^5*m^5*x - 288*(e*x + d)^m*a*b^2*c*d^4*e^5*m^5*x - 144*(e*x + d)^m*a^2*c^2*d^4*e^5*m^5*x + 8
40*(e*x + d)^m*a*b^3*d^3*e^6*m^5*x + 2520*(e*x + d)^m*a^2*b*c*d^3*e^6*m^5*x - 7500*(e*x + d)^m*a^2*b^2*d^2*e^7
*m^5*x - 5000*(e*x + d)^m*a^3*c*d^2*e^7*m^5*x + 28560*(e*x + d)^m*a^3*b*d*e^8*m^5*x + 8624*(e*x + d)^m*a^4*e^9
*m^5*x + 2160*(e*x + d)^m*b^2*c^2*d^5*e^4*m^4*x^2 + 1440*(e*x + d)^m*a*c^3*d^5*e^4*m^4*x^2 - 6000*(e*x + d)^m*
b^3*c*d^4*e^5*m^4*x^2 - 18000*(e*x + d)^m*a*b*c^2*d^4*e^5*m^4*x^2 + 4380*(e*x + d)^m*b^4*d^3*e^6*m^4*x^2 + 525
60*(e*x + d)^m*a*b^2*c*d^3*e^6*m^4*x^2 + 26280*(e*x + d)^m*a^2*c^2*d^3*e^6*m^4*x^2 - 45720*(e*x + d)^m*a*b^3*d
^2*e^7*m^4*x^2 - 137160*(e*x + d)^m*a^2*b*c*d^2*e^7*m^4*x^2 + 179034*(e*x + d)^m*a^2*b^2*d*e^8*m^4*x^2 + 11935
6*(e*x + d)^m*a^3*c*d*e^8*m^4*x^2 + 190036*(e*x + d)^m*a^3*b*e^9*m^4*x^2 - 6720*(e*x + d)^m*c^4*d^6*e^3*m^3*x^
3 + 40320*(e*x + d)^m*b*c^3*d^5*e^4*m^3*x^3 - 90000*(e*x + d)^m*b^2*c^2*d^4*e^5*m^3*x^3 - 60000*(e*x + d)^m*a*
c^3*d^4*e^5*m^3*x^3 + 90000*(e*x + d)^m*b^3*c*d^3*e^6*m^3*x^3 + 270000*(e*x + d)^m*a*b*c^2*d^3*e^6*m^3*x^3 - 3
4576*(e*x + d)^m*b^4*d^2*e^7*m^3*x^3 - 414912*(e*x + d)^m*a*b^2*c*d^2*e^7*m^3*x^3 - 207456*(e*x + d)^m*a^2*c^2
*d^2*e^7*m^3*x^3 + 222368*(e*x + d)^m*a*b^3*d*e^8*m^3*x^3 + 667104*(e*x + d)^m*a^2*b*c*d*e^8*m^3*x^3 + 866808*
(e*x + d)^m*a^2*b^2*e^9*m^3*x^3 + 577872*(e*x + d)^m*a^3*c*e^9*m^3*x^3 + 18480*(e*x + d)^m*c^4*d^5*e^4*m^2*x^4
- 88200*(e*x + d)^m*b*c^3*d^4*e^5*m^2*x^4 + 160920*(e*x + d)^m*b^2*c^2*d^3*e^6*m^2*x^4 + 107280*(e*x + d)^m*a
*c^3*d^3*e^6*m^2*x^4 - 133800*(e*x + d)^m*b^3*c*d^2*e^7*m^2*x^4 - 401400*(e*x + d)^m*a*b*c^2*d^2*e^7*m^2*x^4 +
43164*(e*x + d)^m*b^4*d*e^8*m^2*x^4 + 517968*(e*x + d)^m*a*b^2*c*d*e^8*m^2*x^4 + 258984*(e*x + d)^m*a^2*c^2*d
*e^8*m^2*x^4 + 938736*(e*x + d)^m*a*b^3*e^9*m^2*x^4 + 2816208*(e*x + d)^m*a^2*b*c*e^9*m^2*x^4 - 8064*(e*x + d)
^m*c^4*d^4*e^5*m*x^5 + 36288*(e*x + d)^m*b*c^3*d^3*e^6*m*x^5 - 62208*(e*x + d)^m*b^2*c^2*d^2*e^7*m*x^5 - 41472
*(e*x + d)^m*a*c^3*d^2*e^7*m*x^5 + 48384*(e*x + d)^m*b^3*c*d*e^8*m*x^5 + 145152*(e*x + d)^m*a*b*c^2*d*e^8*m*x^
5 + 190800*(e*x + d)^m*b^4*e^9*m*x^5 + 2289600*(e*x + d)^m*a*b^2*c*e^9*m*x^5 + 1144800*(e*x + d)^m*a^2*c^2*e^9
*m*x^5 + 241920*(e*x + d)^m*b^3*c*e^9*x^6 + 725760*(e*x + d)^m*a*b*c^2*e^9*x^6 - 24*(e*x + d)^m*a*b^3*d^4*e^5*
m^5 - 72*(e*x + d)^m*a^2*b*c*d^4*e^5*m^5 + 468*(e*x + d)^m*a^2*b^2*d^3*e^6*m^5 + 312*(e*x + d)^m*a^3*c*d^3*e^6
*m^5 - 2968*(e*x + d)^m*a^3*b*d^2*e^7*m^5 + 8624*(e*x + d)^m*a^4*d*e^8*m^5 + 480*(e*x + d)^m*b^3*c*d^5*e^4*m^4
*x + 1440*(e*x + d)^m*a*b*c^2*d^5*e^4*m^4*x - 720*(e*x + d)^m*b^4*d^4*e^5*m^4*x - 8640*(e*x + d)^m*a*b^2*c*d^4
*e^5*m^4*x - 4320*(e*x + d)^m*a^2*c^2*d^4*e^5*m^4*x + 11640*(e*x + d)^m*a*b^3*d^3*e^6*m^4*x + 34920*(e*x + d)^
m*a^2*b*c*d^3*e^6*m^4*x - 63180*(e*x + d)^m*a^2*b^2*d^2*e^7*m^4*x - 42120*(e*x + d)^m*a^3*c*d^2*e^7*m^4*x + 16
1476*(e*x + d)^m*a^3*b*d*e^8*m^4*x + 54649*(e*x + d)^m*a^4*e^9*m^4*x - 10080*(e*x + d)^m*b*c^3*d^6*e^3*m^3*x^2
+ 38880*(e*x + d)^m*b^2*c^2*d^5*e^4*m^3*x^2 + 25920*(e*x + d)^m*a*c^3*d^5*e^4*m^3*x^2 - 51600*(e*x + d)^m*b^3
*c*d^4*e^5*m^3*x^2 - 154800*(e*x + d)^m*a*b*c^2*d^4*e^5*m^3*x^2 + 23820*(e*x + d)^m*b^4*d^3*e^6*m^3*x^2 + 2858
40*(e*x + d)^m*a*b^2*c*d^3*e^6*m^3*x^2 + 142920*(e*x + d)^m*a^2*c^2*d^3*e^6*m^3*x^2 - 175188*(e*x + d)^m*a*b^3
*d^2*e^7*m^3*x^2 - 525564*(e*x + d)^m*a^2*b*c*d^2*e^7*m^3*x^2 + 508740*(e*x + d)^m*a^2*b^2*d*e^8*m^3*x^2 + 339
160*(e*x + d)^m*a^3*c*d*e^8*m^3*x^2 + 697228*(e*x + d)^m*a^3*b*e^9*m^3*x^2 - 20160*(e*x + d)^m*c^4*d^6*e^3*m^2
*x^3 + 97440*(e*x + d)^m*b*c^3*d^5*e^4*m^2*x^3 - 180000*(e*x + d)^m*b^2*c^2*d^4*e^5*m^2*x^3 - 120000*(e*x + d)
^m*a*c^3*d^4*e^5*m^2*x^3 + 151520*(e*x + d)^m*b^3*c*d^3*e^6*m^2*x^3 + 454560*(e*x + d)^m*a*b*c^2*d^3*e^6*m^2*x
^3 - 49488*(e*x + d)^m*b^4*d^2*e^7*m^2*x^3 - 593856*(e*x + d)^m*a*b^2*c*d^2*e^7*m^2*x^3 - 296928*(e*x + d)^m*a
^2*c^2*d^2*e^7*m^2*x^3 + 271632*(e*x + d)^m*a*b^3*d*e^8*m^2*x^3 + 814896*(e*x + d)^m*a^2*b*c*d*e^8*m^2*x^3 + 1
741656*(e*x + d)^m*a^2*b^2*e^9*m^2*x^3 + 1161104*(e*x + d)^m*a^3*c*e^9*m^2*x^3 + 10080*(e*x + d)^m*c^4*d^5*e^4
*m*x^4 - 45360*(e*x + d)^m*b*c^3*d^4*e^5*m*x^4 + 77760*(e*x + d)^m*b^2*c^2*d^3*e^6*m*x^4 + 51840*(e*x + d)^m*a
*c^3*d^3*e^6*m*x^4 - 60480*(e*x + d)^m*b^3*c*d^2*e^7*m*x^4 - 181440*(e*x + d)^m*a*b*c^2*d^2*e^7*m*x^4 + 18144*
(e*x + d)^m*b^4*d*e^8*m*x^4 + 217728*(e*x + d)^m*a*b^2*c*d*e^8*m*x^4 + 108864*(e*x + d)^m*a^2*c^2*d*e^8*m*x^4
+ 935856*(e*x + d)^m*a*b^3*e^9*m*x^4 + 2807568*(e*x + d)^m*a^2*b*c*e^9*m*x^4 + 72576*(e*x + d)^m*b^4*e^9*x^5 +
870912*(e*x + d)^m*a*b^2*c*e^9*x^5 + 435456*(e*x + d)^m*a^2*c^2*e^9*x^5 + 24*(e*x + d)^m*b^4*d^5*e^4*m^4 + 28
8*(e*x + d)^m*a*b^2*c*d^5*e^4*m^4 + 144*(e*x + d)^m*a^2*c^2*d^5*e^4*m^4 - 840*(e*x + d)^m*a*b^3*d^4*e^5*m^4 -
2520*(e*x + d)^m*a^2*b*c*d^4*e^5*m^4 + 7500*(e*x + d)^m*a^2*b^2*d^3*e^6*m^4 + 5000*(e*x + d)^m*a^3*c*d^3*e^6*m
^4 - 28560*(e*x + d)^m*a^3*b*d^2*e^7*m^4 + 54649*(e*x + d)^m*a^4*d*e^8*m^4 - 4320*(e*x + d)^m*b^2*c^2*d^6*e^3*
m^3*x - 2880*(e*x + d)^m*a*c^3*d^6*e^3*m^3*x + 11520*(e*x + d)^m*b^3*c*d^5*e^4*m^3*x + 34560*(e*x + d)^m*a*b*c
^2*d^5*e^4*m^3*x - 8040*(e*x + d)^m*b^4*d^4*e^5*m^3*x - 96480*(e*x + d)^m*a*b^2*c*d^4*e^5*m^3*x - 48240*(e*x +
d)^m*a^2*c^2*d^4*e^5*m^3*x + 79800*(e*x + d)^m*a*b^3*d^3*e^6*m^3*x + 239400*(e*x + d)^m*a^2*b*c*d^3*e^6*m^3*x
- 294888*(e*x + d)^m*a^2*b^2*d^2*e^7*m^3*x - 196592*(e*x + d)^m*a^3*c*d^2*e^7*m^3*x + 535752*(e*x + d)^m*a^3*
b*d*e^8*m^3*x + 214676*(e*x + d)^m*a^4*e^9*m^3*x + 20160*(e*x + d)^m*c^4*d^7*e^2*m^2*x^2 - 100800*(e*x + d)^m*
b*c^3*d^6*e^3*m^2*x^2 + 192240*(e*x + d)^m*b^2*c^2*d^5*e^4*m^2*x^2 + 128160*(e*x + d)^m*a*c^3*d^5*e^4*m^2*x^2
- 166800*(e*x + d)^m*b^3*c*d^4*e^5*m^2*x^2 - 500400*(e*x + d)^m*a*b*c^2*d^4*e^5*m^2*x^2 + 56088*(e*x + d)^m*b^
4*d^3*e^6*m^2*x^2 + 673056*(e*x + d)^m*a*b^2*c*d^3*e^6*m^2*x^2 + 336528*(e*x + d)^m*a^2*c^2*d^3*e^6*m^2*x^2 -
316728*(e*x + d)^m*a*b^3*d^2*e^7*m^2*x^2 - 950184*(e*x + d)^m*a^2*b*c*d^2*e^7*m^2*x^2 + 724176*(e*x + d)^m*a^2
*b^2*d*e^8*m^2*x^2 + 482784*(e*x + d)^m*a^3*c*d*e^8*m^2*x^2 + 1500264*(e*x + d)^m*a^3*b*e^9*m^2*x^2 - 13440*(e
*x + d)^m*c^4*d^6*e^3*m*x^3 + 60480*(e*x + d)^m*b*c^3*d^5*e^4*m*x^3 - 103680*(e*x + d)^m*b^2*c^2*d^4*e^5*m*x^3
- 69120*(e*x + d)^m*a*c^3*d^4*e^5*m*x^3 + 80640*(e*x + d)^m*b^3*c*d^3*e^6*m*x^3 + 241920*(e*x + d)^m*a*b*c^2*
d^3*e^6*m*x^3 - 24192*(e*x + d)^m*b^4*d^2*e^7*m*x^3 - 290304*(e*x + d)^m*a*b^2*c*d^2*e^7*m*x^3 - 145152*(e*x +
d)^m*a^2*c^2*d^2*e^7*m*x^3 + 120960*(e*x + d)^m*a*b^3*d*e^8*m*x^3 + 362880*(e*x + d)^m*a^2*b*c*d*e^8*m*x^3 +
1811232*(e*x + d)^m*a^2*b^2*e^9*m*x^3 + 1207488*(e*x + d)^m*a^3*c*e^9*m*x^3 + 362880*(e*x + d)^m*a*b^3*e^9*x^4
+ 1088640*(e*x + d)^m*a^2*b*c*e^9*x^4 - 480*(e*x + d)^m*b^3*c*d^6*e^3*m^3 - 1440*(e*x + d)^m*a*b*c^2*d^6*e^3*
m^3 + 720*(e*x + d)^m*b^4*d^5*e^4*m^3 + 8640*(e*x + d)^m*a*b^2*c*d^5*e^4*m^3 + 4320*(e*x + d)^m*a^2*c^2*d^5*e^
4*m^3 - 11640*(e*x + d)^m*a*b^3*d^4*e^5*m^3 - 34920*(e*x + d)^m*a^2*b*c*d^4*e^5*m^3 + 63180*(e*x + d)^m*a^2*b^
2*d^3*e^6*m^3 + 42120*(e*x + d)^m*a^3*c*d^3*e^6*m^3 - 161476*(e*x + d)^m*a^3*b*d^2*e^7*m^3 + 214676*(e*x + d)^
m*a^4*d*e^8*m^3 + 20160*(e*x + d)^m*b*c^3*d^7*e^2*m^2*x - 73440*(e*x + d)^m*b^2*c^2*d^6*e^3*m^2*x - 48960*(e*x
+ d)^m*a*c^3*d^6*e^3*m^2*x + 91680*(e*x + d)^m*b^3*c*d^5*e^4*m^2*x + 275040*(e*x + d)^m*a*b*c^2*d^5*e^4*m^2*x
- 39600*(e*x + d)^m*b^4*d^4*e^5*m^2*x - 475200*(e*x + d)^m*a*b^2*c*d^4*e^5*m^2*x - 237600*(e*x + d)^m*a^2*c^2
*d^4*e^5*m^2*x + 270576*(e*x + d)^m*a*b^3*d^3*e^6*m^2*x + 811728*(e*x + d)^m*a^2*b*c*d^3*e^6*m^2*x - 722592*(e
*x + d)^m*a^2*b^2*d^2*e^7*m^2*x - 481728*(e*x + d)^m*a^3*c*d^2*e^7*m^2*x + 964512*(e*x + d)^m*a^3*b*d*e^8*m^2*
x + 509004*(e*x + d)^m*a^4*e^9*m^2*x + 20160*(e*x + d)^m*c^4*d^7*e^2*m*x^2 - 90720*(e*x + d)^m*b*c^3*d^6*e^3*m
*x^2 + 155520*(e*x + d)^m*b^2*c^2*d^5*e^4*m*x^2 + 103680*(e*x + d)^m*a*c^3*d^5*e^4*m*x^2 - 120960*(e*x + d)^m*
b^3*c*d^4*e^5*m*x^2 - 362880*(e*x + d)^m*a*b*c^2*d^4*e^5*m*x^2 + 36288*(e*x + d)^m*b^4*d^3*e^6*m*x^2 + 435456*
(e*x + d)^m*a*b^2*c*d^3*e^6*m*x^2 + 217728*(e*x + d)^m*a^2*c^2*d^3*e^6*m*x^2 - 181440*(e*x + d)^m*a*b^3*d^2*e^
7*m*x^2 - 544320*(e*x + d)^m*a^2*b*c*d^2*e^7*m*x^2 + 362880*(e*x + d)^m*a^2*b^2*d*e^8*m*x^2 + 241920*(e*x + d)
^m*a^3*c*d*e^8*m*x^2 + 1690272*(e*x + d)^m*a^3*b*e^9*m*x^2 + 725760*(e*x + d)^m*a^2*b^2*e^9*x^3 + 483840*(e*x
+ d)^m*a^3*c*e^9*x^3 + 4320*(e*x + d)^m*b^2*c^2*d^7*e^2*m^2 + 2880*(e*x + d)^m*a*c^3*d^7*e^2*m^2 - 11520*(e*x
+ d)^m*b^3*c*d^6*e^3*m^2 - 34560*(e*x + d)^m*a*b*c^2*d^6*e^3*m^2 + 8040*(e*x + d)^m*b^4*d^5*e^4*m^2 + 96480*(e
*x + d)^m*a*b^2*c*d^5*e^4*m^2 + 48240*(e*x + d)^m*a^2*c^2*d^5*e^4*m^2 - 79800*(e*x + d)^m*a*b^3*d^4*e^5*m^2 -
239400*(e*x + d)^m*a^2*b*c*d^4*e^5*m^2 + 294888*(e*x + d)^m*a^2*b^2*d^3*e^6*m^2 + 196592*(e*x + d)^m*a^3*c*d^3
*e^6*m^2 - 535752*(e*x + d)^m*a^3*b*d^2*e^7*m^2 + 509004*(e*x + d)^m*a^4*d*e^8*m^2 - 40320*(e*x + d)^m*c^4*d^8
*e*m*x + 181440*(e*x + d)^m*b*c^3*d^7*e^2*m*x - 311040*(e*x + d)^m*b^2*c^2*d^6*e^3*m*x - 207360*(e*x + d)^m*a*
c^3*d^6*e^3*m*x + 241920*(e*x + d)^m*b^3*c*d^5*e^4*m*x + 725760*(e*x + d)^m*a*b*c^2*d^5*e^4*m*x - 72576*(e*x +
d)^m*b^4*d^4*e^5*m*x - 870912*(e*x + d)^m*a*b^2*c*d^4*e^5*m*x - 435456*(e*x + d)^m*a^2*c^2*d^4*e^5*m*x + 3628
80*(e*x + d)^m*a*b^3*d^3*e^6*m*x + 1088640*(e*x + d)^m*a^2*b*c*d^3*e^6*m*x - 725760*(e*x + d)^m*a^2*b^2*d^2*e^
7*m*x - 483840*(e*x + d)^m*a^3*c*d^2*e^7*m*x + 725760*(e*x + d)^m*a^3*b*d*e^8*m*x + 663696*(e*x + d)^m*a^4*e^9
*m*x + 725760*(e*x + d)^m*a^3*b*e^9*x^2 - 20160*(e*x + d)^m*b*c^3*d^8*e*m + 73440*(e*x + d)^m*b^2*c^2*d^7*e^2*
m + 48960*(e*x + d)^m*a*c^3*d^7*e^2*m - 91680*(e*x + d)^m*b^3*c*d^6*e^3*m - 275040*(e*x + d)^m*a*b*c^2*d^6*e^3
*m + 39600*(e*x + d)^m*b^4*d^5*e^4*m + 475200*(e*x + d)^m*a*b^2*c*d^5*e^4*m + 237600*(e*x + d)^m*a^2*c^2*d^5*e
^4*m - 270576*(e*x + d)^m*a*b^3*d^4*e^5*m - 811728*(e*x + d)^m*a^2*b*c*d^4*e^5*m + 722592*(e*x + d)^m*a^2*b^2*
d^3*e^6*m + 481728*(e*x + d)^m*a^3*c*d^3*e^6*m - 964512*(e*x + d)^m*a^3*b*d^2*e^7*m + 663696*(e*x + d)^m*a^4*d
*e^8*m + 362880*(e*x + d)^m*a^4*e^9*x + 40320*(e*x + d)^m*c^4*d^9 - 181440*(e*x + d)^m*b*c^3*d^8*e + 311040*(e
*x + d)^m*b^2*c^2*d^7*e^2 + 207360*(e*x + d)^m*a*c^3*d^7*e^2 - 241920*(e*x + d)^m*b^3*c*d^6*e^3 - 725760*(e*x
+ d)^m*a*b*c^2*d^6*e^3 + 72576*(e*x + d)^m*b^4*d^5*e^4 + 870912*(e*x + d)^m*a*b^2*c*d^5*e^4 + 435456*(e*x + d)
^m*a^2*c^2*d^5*e^4 - 362880*(e*x + d)^m*a*b^3*d^4*e^5 - 1088640*(e*x + d)^m*a^2*b*c*d^4*e^5 + 725760*(e*x + d)
^m*a^2*b^2*d^3*e^6 + 483840*(e*x + d)^m*a^3*c*d^3*e^6 - 725760*(e*x + d)^m*a^3*b*d^2*e^7 + 362880*(e*x + d)^m*
a^4*d*e^8)/(e^9*m^9 + 45*e^9*m^8 + 870*e^9*m^7 + 9450*e^9*m^6 + 63273*e^9*m^5 + 269325*e^9*m^4 + 723680*e^9*m^
3 + 1172700*e^9*m^2 + 1026576*e^9*m + 362880*e^9)

Mupad [B] (verification not implemented)

Time = 13.67 (sec) , antiderivative size = 5907, normalized size of antiderivative = 12.18 \[ \int (d+e x)^m \left (a+b x+c x^2\right )^4 \, dx=\text {Too large to display} \]

[In]

int((d + e*x)^m*(a + b*x + c*x^2)^4,x)

[Out]

((d + e*x)^m*(40320*c^4*d^9 + 362880*a^4*d*e^8 + 72576*b^4*d^5*e^4 - 362880*a*b^3*d^4*e^5 - 725760*a^3*b*d^2*e
^7 + 207360*a*c^3*d^7*e^2 + 483840*a^3*c*d^3*e^6 - 241920*b^3*c*d^6*e^3 + 509004*a^4*d*e^8*m^2 + 214676*a^4*d*
e^8*m^3 + 54649*a^4*d*e^8*m^4 + 8624*a^4*d*e^8*m^5 + 826*a^4*d*e^8*m^6 + 44*a^4*d*e^8*m^7 + a^4*d*e^8*m^8 + 39
600*b^4*d^5*e^4*m + 725760*a^2*b^2*d^3*e^6 + 435456*a^2*c^2*d^5*e^4 + 311040*b^2*c^2*d^7*e^2 + 8040*b^4*d^5*e^
4*m^2 + 720*b^4*d^5*e^4*m^3 + 24*b^4*d^5*e^4*m^4 - 181440*b*c^3*d^8*e + 663696*a^4*d*e^8*m - 20160*b*c^3*d^8*e
*m + 294888*a^2*b^2*d^3*e^6*m^2 + 63180*a^2*b^2*d^3*e^6*m^3 + 7500*a^2*b^2*d^3*e^6*m^4 + 468*a^2*b^2*d^3*e^6*m
^5 + 12*a^2*b^2*d^3*e^6*m^6 + 48240*a^2*c^2*d^5*e^4*m^2 + 4320*a^2*c^2*d^5*e^4*m^3 + 144*a^2*c^2*d^5*e^4*m^4 +
4320*b^2*c^2*d^7*e^2*m^2 - 725760*a*b*c^2*d^6*e^3 + 870912*a*b^2*c*d^5*e^4 - 1088640*a^2*b*c*d^4*e^5 - 270576
*a*b^3*d^4*e^5*m - 964512*a^3*b*d^2*e^7*m + 48960*a*c^3*d^7*e^2*m + 481728*a^3*c*d^3*e^6*m - 91680*b^3*c*d^6*e
^3*m + 722592*a^2*b^2*d^3*e^6*m - 79800*a*b^3*d^4*e^5*m^2 - 535752*a^3*b*d^2*e^7*m^2 - 11640*a*b^3*d^4*e^5*m^3
- 161476*a^3*b*d^2*e^7*m^3 - 840*a*b^3*d^4*e^5*m^4 - 28560*a^3*b*d^2*e^7*m^4 - 24*a*b^3*d^4*e^5*m^5 - 2968*a^
3*b*d^2*e^7*m^5 - 168*a^3*b*d^2*e^7*m^6 - 4*a^3*b*d^2*e^7*m^7 + 237600*a^2*c^2*d^5*e^4*m + 2880*a*c^3*d^7*e^2*
m^2 + 196592*a^3*c*d^3*e^6*m^2 + 42120*a^3*c*d^3*e^6*m^3 + 5000*a^3*c*d^3*e^6*m^4 + 312*a^3*c*d^3*e^6*m^5 + 8*
a^3*c*d^3*e^6*m^6 + 73440*b^2*c^2*d^7*e^2*m - 11520*b^3*c*d^6*e^3*m^2 - 480*b^3*c*d^6*e^3*m^3 - 34560*a*b*c^2*
d^6*e^3*m^2 + 96480*a*b^2*c*d^5*e^4*m^2 - 239400*a^2*b*c*d^4*e^5*m^2 - 1440*a*b*c^2*d^6*e^3*m^3 + 8640*a*b^2*c
*d^5*e^4*m^3 - 34920*a^2*b*c*d^4*e^5*m^3 + 288*a*b^2*c*d^5*e^4*m^4 - 2520*a^2*b*c*d^4*e^5*m^4 - 72*a^2*b*c*d^4
*e^5*m^5 - 275040*a*b*c^2*d^6*e^3*m + 475200*a*b^2*c*d^5*e^4*m - 811728*a^2*b*c*d^4*e^5*m))/(e^9*(1026576*m +
1172700*m^2 + 723680*m^3 + 269325*m^4 + 63273*m^5 + 9450*m^6 + 870*m^7 + 45*m^8 + m^9 + 362880)) + (x*(d + e*x
)^m*(362880*a^4*e^9 + 663696*a^4*e^9*m + 509004*a^4*e^9*m^2 + 214676*a^4*e^9*m^3 + 54649*a^4*e^9*m^4 + 8624*a^
4*e^9*m^5 + 826*a^4*e^9*m^6 + 44*a^4*e^9*m^7 + a^4*e^9*m^8 - 72576*b^4*d^4*e^5*m - 39600*b^4*d^4*e^5*m^2 - 804
0*b^4*d^4*e^5*m^3 - 720*b^4*d^4*e^5*m^4 - 24*b^4*d^4*e^5*m^5 - 40320*c^4*d^8*e*m + 725760*a^3*b*d*e^8*m - 7225
92*a^2*b^2*d^2*e^7*m^2 - 294888*a^2*b^2*d^2*e^7*m^3 - 63180*a^2*b^2*d^2*e^7*m^4 - 7500*a^2*b^2*d^2*e^7*m^5 - 4
68*a^2*b^2*d^2*e^7*m^6 - 12*a^2*b^2*d^2*e^7*m^7 - 237600*a^2*c^2*d^4*e^5*m^2 - 48240*a^2*c^2*d^4*e^5*m^3 - 432
0*a^2*c^2*d^4*e^5*m^4 - 144*a^2*c^2*d^4*e^5*m^5 - 73440*b^2*c^2*d^6*e^3*m^2 - 4320*b^2*c^2*d^6*e^3*m^3 + 36288
0*a*b^3*d^3*e^6*m + 964512*a^3*b*d*e^8*m^2 + 535752*a^3*b*d*e^8*m^3 + 161476*a^3*b*d*e^8*m^4 + 28560*a^3*b*d*e
^8*m^5 + 2968*a^3*b*d*e^8*m^6 + 168*a^3*b*d*e^8*m^7 + 4*a^3*b*d*e^8*m^8 - 207360*a*c^3*d^6*e^3*m - 483840*a^3*
c*d^2*e^7*m + 181440*b*c^3*d^7*e^2*m + 241920*b^3*c*d^5*e^4*m - 725760*a^2*b^2*d^2*e^7*m + 270576*a*b^3*d^3*e^
6*m^2 + 79800*a*b^3*d^3*e^6*m^3 + 11640*a*b^3*d^3*e^6*m^4 + 840*a*b^3*d^3*e^6*m^5 + 24*a*b^3*d^3*e^6*m^6 - 435
456*a^2*c^2*d^4*e^5*m - 48960*a*c^3*d^6*e^3*m^2 - 481728*a^3*c*d^2*e^7*m^2 - 2880*a*c^3*d^6*e^3*m^3 - 196592*a
^3*c*d^2*e^7*m^3 - 42120*a^3*c*d^2*e^7*m^4 - 5000*a^3*c*d^2*e^7*m^5 - 312*a^3*c*d^2*e^7*m^6 - 8*a^3*c*d^2*e^7*
m^7 - 311040*b^2*c^2*d^6*e^3*m + 20160*b*c^3*d^7*e^2*m^2 + 91680*b^3*c*d^5*e^4*m^2 + 11520*b^3*c*d^5*e^4*m^3 +
480*b^3*c*d^5*e^4*m^4 + 275040*a*b*c^2*d^5*e^4*m^2 - 475200*a*b^2*c*d^4*e^5*m^2 + 811728*a^2*b*c*d^3*e^6*m^2
+ 34560*a*b*c^2*d^5*e^4*m^3 - 96480*a*b^2*c*d^4*e^5*m^3 + 239400*a^2*b*c*d^3*e^6*m^3 + 1440*a*b*c^2*d^5*e^4*m^
4 - 8640*a*b^2*c*d^4*e^5*m^4 + 34920*a^2*b*c*d^3*e^6*m^4 - 288*a*b^2*c*d^4*e^5*m^5 + 2520*a^2*b*c*d^3*e^6*m^5
+ 72*a^2*b*c*d^3*e^6*m^6 + 725760*a*b*c^2*d^5*e^4*m - 870912*a*b^2*c*d^4*e^5*m + 1088640*a^2*b*c*d^3*e^6*m))/(
e^9*(1026576*m + 1172700*m^2 + 723680*m^3 + 269325*m^4 + 63273*m^5 + 9450*m^6 + 870*m^7 + 45*m^8 + m^9 + 36288
0)) + (c^4*x^9*(d + e*x)^m*(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8
+ 40320))/(1026576*m + 1172700*m^2 + 723680*m^3 + 269325*m^4 + 63273*m^5 + 9450*m^6 + 870*m^7 + 45*m^8 + m^9 +
362880) + (2*x^2*(m + 1)*(d + e*x)^m*(362880*a^3*b*e^7 + 10080*c^4*d^7*m + 267876*a^3*b*e^7*m^2 + 80738*a^3*b
*e^7*m^3 + 14280*a^3*b*e^7*m^4 + 1484*a^3*b*e^7*m^5 + 84*a^3*b*e^7*m^6 + 2*a^3*b*e^7*m^7 + 18144*b^4*d^3*e^4*m
+ 9900*b^4*d^3*e^4*m^2 + 2010*b^4*d^3*e^4*m^3 + 180*b^4*d^3*e^4*m^4 + 6*b^4*d^3*e^4*m^5 + 482256*a^3*b*e^7*m
+ 120960*a^3*c*d*e^6*m - 45360*b*c^3*d^6*e*m + 59400*a^2*c^2*d^3*e^4*m^2 + 12060*a^2*c^2*d^3*e^4*m^3 + 1080*a^
2*c^2*d^3*e^4*m^4 + 36*a^2*c^2*d^3*e^4*m^5 + 18360*b^2*c^2*d^5*e^2*m^2 + 1080*b^2*c^2*d^5*e^2*m^3 - 90720*a*b^
3*d^2*e^5*m + 181440*a^2*b^2*d*e^6*m + 51840*a*c^3*d^5*e^2*m + 120432*a^3*c*d*e^6*m^2 + 49148*a^3*c*d*e^6*m^3
+ 10530*a^3*c*d*e^6*m^4 + 1250*a^3*c*d*e^6*m^5 + 78*a^3*c*d*e^6*m^6 + 2*a^3*c*d*e^6*m^7 - 60480*b^3*c*d^4*e^3*
m - 5040*b*c^3*d^6*e*m^2 - 67644*a*b^3*d^2*e^5*m^2 + 180648*a^2*b^2*d*e^6*m^2 - 19950*a*b^3*d^2*e^5*m^3 + 7372
2*a^2*b^2*d*e^6*m^3 - 2910*a*b^3*d^2*e^5*m^4 + 15795*a^2*b^2*d*e^6*m^4 - 210*a*b^3*d^2*e^5*m^5 + 1875*a^2*b^2*
d*e^6*m^5 - 6*a*b^3*d^2*e^5*m^6 + 117*a^2*b^2*d*e^6*m^6 + 3*a^2*b^2*d*e^6*m^7 + 108864*a^2*c^2*d^3*e^4*m + 122
40*a*c^3*d^5*e^2*m^2 + 720*a*c^3*d^5*e^2*m^3 + 77760*b^2*c^2*d^5*e^2*m - 22920*b^3*c*d^4*e^3*m^2 - 2880*b^3*c*
d^4*e^3*m^3 - 120*b^3*c*d^4*e^3*m^4 - 68760*a*b*c^2*d^4*e^3*m^2 + 118800*a*b^2*c*d^3*e^4*m^2 - 202932*a^2*b*c*
d^2*e^5*m^2 - 8640*a*b*c^2*d^4*e^3*m^3 + 24120*a*b^2*c*d^3*e^4*m^3 - 59850*a^2*b*c*d^2*e^5*m^3 - 360*a*b*c^2*d
^4*e^3*m^4 + 2160*a*b^2*c*d^3*e^4*m^4 - 8730*a^2*b*c*d^2*e^5*m^4 + 72*a*b^2*c*d^3*e^4*m^5 - 630*a^2*b*c*d^2*e^
5*m^5 - 18*a^2*b*c*d^2*e^5*m^6 - 181440*a*b*c^2*d^4*e^3*m + 217728*a*b^2*c*d^3*e^4*m - 272160*a^2*b*c*d^2*e^5*
m))/(e^7*(1026576*m + 1172700*m^2 + 723680*m^3 + 269325*m^4 + 63273*m^5 + 9450*m^6 + 870*m^7 + 45*m^8 + m^9 +
362880)) + (x^4*(d + e*x)^m*(11*m + 6*m^2 + m^3 + 6)*(60480*a*b^3*e^5 + 1680*c^4*d^5*m + 13300*a*b^3*e^5*m^2 +
1940*a*b^3*e^5*m^3 + 140*a*b^3*e^5*m^4 + 4*a*b^3*e^5*m^5 + 1650*b^4*d*e^4*m^2 + 335*b^4*d*e^4*m^3 + 30*b^4*d*
e^4*m^4 + b^4*d*e^4*m^5 + 181440*a^2*b*c*e^5 + 45096*a*b^3*e^5*m + 3024*b^4*d*e^4*m + 135288*a^2*b*c*e^5*m - 7
560*b*c^3*d^4*e*m + 3060*b^2*c^2*d^3*e^2*m^2 + 180*b^2*c^2*d^3*e^2*m^3 + 39900*a^2*b*c*e^5*m^2 + 5820*a^2*b*c*
e^5*m^3 + 420*a^2*b*c*e^5*m^4 + 12*a^2*b*c*e^5*m^5 + 8640*a*c^3*d^3*e^2*m + 18144*a^2*c^2*d*e^4*m - 10080*b^3*
c*d^2*e^3*m - 840*b*c^3*d^4*e*m^2 + 2040*a*c^3*d^3*e^2*m^2 + 9900*a^2*c^2*d*e^4*m^2 + 120*a*c^3*d^3*e^2*m^3 +
2010*a^2*c^2*d*e^4*m^3 + 180*a^2*c^2*d*e^4*m^4 + 6*a^2*c^2*d*e^4*m^5 + 12960*b^2*c^2*d^3*e^2*m - 3820*b^3*c*d^
2*e^3*m^2 - 480*b^3*c*d^2*e^3*m^3 - 20*b^3*c*d^2*e^3*m^4 - 11460*a*b*c^2*d^2*e^3*m^2 - 1440*a*b*c^2*d^2*e^3*m^
3 - 60*a*b*c^2*d^2*e^3*m^4 + 36288*a*b^2*c*d*e^4*m - 30240*a*b*c^2*d^2*e^3*m + 19800*a*b^2*c*d*e^4*m^2 + 4020*
a*b^2*c*d*e^4*m^3 + 360*a*b^2*c*d*e^4*m^4 + 12*a*b^2*c*d*e^4*m^5))/(e^5*(1026576*m + 1172700*m^2 + 723680*m^3
+ 269325*m^4 + 63273*m^5 + 9450*m^6 + 870*m^7 + 45*m^8 + m^9 + 362880)) + (2*x^3*(d + e*x)^m*(3*m + m^2 + 2)*(
120960*a^3*c*e^6 - 3360*c^4*d^6*m + 181440*a^2*b^2*e^6 + 180648*a^2*b^2*e^6*m + 49148*a^3*c*e^6*m^2 + 10530*a^
3*c*e^6*m^3 + 1250*a^3*c*e^6*m^4 + 78*a^3*c*e^6*m^5 + 2*a^3*c*e^6*m^6 - 6048*b^4*d^2*e^4*m + 73722*a^2*b^2*e^6
*m^2 + 15795*a^2*b^2*e^6*m^3 + 1875*a^2*b^2*e^6*m^4 + 117*a^2*b^2*e^6*m^5 + 3*a^2*b^2*e^6*m^6 - 3300*b^4*d^2*e
^4*m^2 - 670*b^4*d^2*e^4*m^3 - 60*b^4*d^2*e^4*m^4 - 2*b^4*d^2*e^4*m^5 + 120432*a^3*c*e^6*m + 30240*a*b^3*d*e^5
*m + 15120*b*c^3*d^5*e*m - 19800*a^2*c^2*d^2*e^4*m^2 - 4020*a^2*c^2*d^2*e^4*m^3 - 360*a^2*c^2*d^2*e^4*m^4 - 12
*a^2*c^2*d^2*e^4*m^5 - 6120*b^2*c^2*d^4*e^2*m^2 - 360*b^2*c^2*d^4*e^2*m^3 + 22548*a*b^3*d*e^5*m^2 + 6650*a*b^3
*d*e^5*m^3 + 970*a*b^3*d*e^5*m^4 + 70*a*b^3*d*e^5*m^5 + 2*a*b^3*d*e^5*m^6 - 17280*a*c^3*d^4*e^2*m + 20160*b^3*
c*d^3*e^3*m + 1680*b*c^3*d^5*e*m^2 - 36288*a^2*c^2*d^2*e^4*m - 4080*a*c^3*d^4*e^2*m^2 - 240*a*c^3*d^4*e^2*m^3
- 25920*b^2*c^2*d^4*e^2*m + 7640*b^3*c*d^3*e^3*m^2 + 960*b^3*c*d^3*e^3*m^3 + 40*b^3*c*d^3*e^3*m^4 + 22920*a*b*
c^2*d^3*e^3*m^2 - 39600*a*b^2*c*d^2*e^4*m^2 + 2880*a*b*c^2*d^3*e^3*m^3 - 8040*a*b^2*c*d^2*e^4*m^3 + 120*a*b*c^
2*d^3*e^3*m^4 - 720*a*b^2*c*d^2*e^4*m^4 - 24*a*b^2*c*d^2*e^4*m^5 + 90720*a^2*b*c*d*e^5*m + 60480*a*b*c^2*d^3*e
^3*m - 72576*a*b^2*c*d^2*e^4*m + 67644*a^2*b*c*d*e^5*m^2 + 19950*a^2*b*c*d*e^5*m^3 + 2910*a^2*b*c*d*e^5*m^4 +
210*a^2*b*c*d*e^5*m^5 + 6*a^2*b*c*d*e^5*m^6))/(e^6*(1026576*m + 1172700*m^2 + 723680*m^3 + 269325*m^4 + 63273*
m^5 + 9450*m^6 + 870*m^7 + 45*m^8 + m^9 + 362880)) + (x^5*(d + e*x)^m*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)*(302
4*b^4*e^4 + 1650*b^4*e^4*m - 336*c^4*d^4*m + 18144*a^2*c^2*e^4 + 335*b^4*e^4*m^2 + 30*b^4*e^4*m^3 + b^4*e^4*m^
4 + 9900*a^2*c^2*e^4*m + 2010*a^2*c^2*e^4*m^2 + 180*a^2*c^2*e^4*m^3 + 6*a^2*c^2*e^4*m^4 + 36288*a*b^2*c*e^4 +
19800*a*b^2*c*e^4*m + 1512*b*c^3*d^3*e*m + 2016*b^3*c*d*e^3*m - 612*b^2*c^2*d^2*e^2*m^2 - 36*b^2*c^2*d^2*e^2*m
^3 + 4020*a*b^2*c*e^4*m^2 + 360*a*b^2*c*e^4*m^3 + 12*a*b^2*c*e^4*m^4 - 1728*a*c^3*d^2*e^2*m + 168*b*c^3*d^3*e*
m^2 + 764*b^3*c*d*e^3*m^2 + 96*b^3*c*d*e^3*m^3 + 4*b^3*c*d*e^3*m^4 - 408*a*c^3*d^2*e^2*m^2 - 24*a*c^3*d^2*e^2*
m^3 - 2592*b^2*c^2*d^2*e^2*m + 6048*a*b*c^2*d*e^3*m + 2292*a*b*c^2*d*e^3*m^2 + 288*a*b*c^2*d*e^3*m^3 + 12*a*b*
c^2*d*e^3*m^4))/(e^4*(1026576*m + 1172700*m^2 + 723680*m^3 + 269325*m^4 + 63273*m^5 + 9450*m^6 + 870*m^7 + 45*
m^8 + m^9 + 362880)) + (2*c*x^6*(d + e*x)^m*(274*m + 225*m^2 + 85*m^3 + 15*m^4 + m^5 + 120)*(1008*b^3*e^3 + 38
2*b^3*e^3*m + 28*c^3*d^3*m + 48*b^3*e^3*m^2 + 2*b^3*e^3*m^3 + 3024*a*b*c*e^3 + 144*a*b*c*e^3*m^2 + 6*a*b*c*e^3
*m^3 + 144*a*c^2*d*e^2*m - 126*b*c^2*d^2*e*m + 216*b^2*c*d*e^2*m + 34*a*c^2*d*e^2*m^2 + 2*a*c^2*d*e^2*m^3 - 14
*b*c^2*d^2*e*m^2 + 51*b^2*c*d*e^2*m^2 + 3*b^2*c*d*e^2*m^3 + 1146*a*b*c*e^3*m))/(e^3*(1026576*m + 1172700*m^2 +
723680*m^3 + 269325*m^4 + 63273*m^5 + 9450*m^6 + 870*m^7 + 45*m^8 + m^9 + 362880)) + (2*c^2*x^7*(d + e*x)^m*(
1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720)*(216*b^2*e^2 + 51*b^2*e^2*m - 4*c^2*d^2*m + 3*b^2*
e^2*m^2 + 144*a*c*e^2 + 34*a*c*e^2*m + 2*a*c*e^2*m^2 + 18*b*c*d*e*m + 2*b*c*d*e*m^2))/(e^2*(1026576*m + 117270
0*m^2 + 723680*m^3 + 269325*m^4 + 63273*m^5 + 9450*m^6 + 870*m^7 + 45*m^8 + m^9 + 362880)) + (c^3*x^8*(d + e*x
)^m*(36*b*e + 4*b*e*m + c*d*m)*(13068*m + 13132*m^2 + 6769*m^3 + 1960*m^4 + 322*m^5 + 28*m^6 + m^7 + 5040))/(e
*(1026576*m + 1172700*m^2 + 723680*m^3 + 269325*m^4 + 63273*m^5 + 9450*m^6 + 870*m^7 + 45*m^8 + m^9 + 362880))