\(\int (d+e x)^m (f+g x)^2 (a+b x+c x^2)^2 \, dx\) [925]

Optimal result

Integrand size = 27, antiderivative size = 525 \[ \int (d+e x)^m (f+g x)^2 \left (a+b x+c x^2\right )^2 \, dx=\frac {\left (c d^2-b d e+a e^2\right )^2 (e f-d g)^2 (d+e x)^{1+m}}{e^7 (1+m)}-\frac {2 \left (c d^2-b d e+a e^2\right ) (e f-d g) (c d (2 e f-3 d g)-e (b e f-2 b d g+a e g)) (d+e x)^{2+m}}{e^7 (2+m)}+\frac {\left (c^2 d^2 \left (6 e^2 f^2-20 d e f g+15 d^2 g^2\right )+e^2 \left (a^2 e^2 g^2+2 a b e g (2 e f-3 d g)+b^2 \left (e^2 f^2-6 d e f g+6 d^2 g^2\right )\right )+2 c e \left (a e \left (e^2 f^2-6 d e f g+6 d^2 g^2\right )-b d \left (3 e^2 f^2-12 d e f g+10 d^2 g^2\right )\right )\right ) (d+e x)^{3+m}}{e^7 (3+m)}+\frac {2 \left (b e^2 g (b e f-2 b d g+a e g)-2 c^2 d \left (e^2 f^2-5 d e f g+5 d^2 g^2\right )+c e \left (2 a e g (e f-2 d g)+b \left (e^2 f^2-8 d e f g+10 d^2 g^2\right )\right )\right ) (d+e x)^{4+m}}{e^7 (4+m)}+\frac {\left (b^2 e^2 g^2+2 c e g (2 b e f-5 b d g+a e g)+c^2 \left (e^2 f^2-10 d e f g+15 d^2 g^2\right )\right ) (d+e x)^{5+m}}{e^7 (5+m)}+\frac {2 c g (c e f-3 c d g+b e g) (d+e x)^{6+m}}{e^7 (6+m)}+\frac {c^2 g^2 (d+e x)^{7+m}}{e^7 (7+m)} \]

[Out]

(a*e^2-b*d*e+c*d^2)^2*(-d*g+e*f)^2*(e*x+d)^(1+m)/e^7/(1+m)-2*(a*e^2-b*d*e+c*d^2)*(-d*g+e*f)*(c*d*(-3*d*g+2*e*f
)-e*(a*e*g-2*b*d*g+b*e*f))*(e*x+d)^(2+m)/e^7/(2+m)+(c^2*d^2*(15*d^2*g^2-20*d*e*f*g+6*e^2*f^2)+e^2*(a^2*e^2*g^2
+2*a*b*e*g*(-3*d*g+2*e*f)+b^2*(6*d^2*g^2-6*d*e*f*g+e^2*f^2))+2*c*e*(a*e*(6*d^2*g^2-6*d*e*f*g+e^2*f^2)-b*d*(10*
d^2*g^2-12*d*e*f*g+3*e^2*f^2)))*(e*x+d)^(3+m)/e^7/(3+m)+2*(b*e^2*g*(a*e*g-2*b*d*g+b*e*f)-2*c^2*d*(5*d^2*g^2-5*
d*e*f*g+e^2*f^2)+c*e*(2*a*e*g*(-2*d*g+e*f)+b*(10*d^2*g^2-8*d*e*f*g+e^2*f^2)))*(e*x+d)^(4+m)/e^7/(4+m)+(b^2*e^2
*g^2+2*c*e*g*(a*e*g-5*b*d*g+2*b*e*f)+c^2*(15*d^2*g^2-10*d*e*f*g+e^2*f^2))*(e*x+d)^(5+m)/e^7/(5+m)+2*c*g*(b*e*g
-3*c*d*g+c*e*f)*(e*x+d)^(6+m)/e^7/(6+m)+c^2*g^2*(e*x+d)^(7+m)/e^7/(7+m)

Rubi [A] (verified)

Time = 0.35 (sec) , antiderivative size = 525, normalized size of antiderivative = 1.00, number of steps used = 2, number of rules used = 1, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.037, Rules used = {961} \[ \int (d+e x)^m (f+g x)^2 \left (a+b x+c x^2\right )^2 \, dx=\frac {(d+e x)^{m+3} \left (e^2 \left (a^2 e^2 g^2+2 a b e g (2 e f-3 d g)+b^2 \left (6 d^2 g^2-6 d e f g+e^2 f^2\right )\right )+2 c e \left (a e \left (6 d^2 g^2-6 d e f g+e^2 f^2\right )-b d \left (10 d^2 g^2-12 d e f g+3 e^2 f^2\right )\right )+c^2 d^2 \left (15 d^2 g^2-20 d e f g+6 e^2 f^2\right )\right )}{e^7 (m+3)}+\frac {(d+e x)^{m+5} \left (2 c e g (a e g-5 b d g+2 b e f)+b^2 e^2 g^2+c^2 \left (15 d^2 g^2-10 d e f g+e^2 f^2\right )\right )}{e^7 (m+5)}+\frac {2 (d+e x)^{m+4} \left (c e \left (2 a e g (e f-2 d g)+b \left (10 d^2 g^2-8 d e f g+e^2 f^2\right )\right )+b e^2 g (a e g-2 b d g+b e f)-2 c^2 d \left (5 d^2 g^2-5 d e f g+e^2 f^2\right )\right )}{e^7 (m+4)}+\frac {(e f-d g)^2 (d+e x)^{m+1} \left (a e^2-b d e+c d^2\right )^2}{e^7 (m+1)}-\frac {2 (e f-d g) (d+e x)^{m+2} \left (a e^2-b d e+c d^2\right ) (c d (2 e f-3 d g)-e (a e g-2 b d g+b e f))}{e^7 (m+2)}+\frac {2 c g (d+e x)^{m+6} (b e g-3 c d g+c e f)}{e^7 (m+6)}+\frac {c^2 g^2 (d+e x)^{m+7}}{e^7 (m+7)} \]

[In]

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

[Out]

((c*d^2 - b*d*e + a*e^2)^2*(e*f - d*g)^2*(d + e*x)^(1 + m))/(e^7*(1 + m)) - (2*(c*d^2 - b*d*e + a*e^2)*(e*f -
d*g)*(c*d*(2*e*f - 3*d*g) - e*(b*e*f - 2*b*d*g + a*e*g))*(d + e*x)^(2 + m))/(e^7*(2 + m)) + ((c^2*d^2*(6*e^2*f
^2 - 20*d*e*f*g + 15*d^2*g^2) + e^2*(a^2*e^2*g^2 + 2*a*b*e*g*(2*e*f - 3*d*g) + b^2*(e^2*f^2 - 6*d*e*f*g + 6*d^
2*g^2)) + 2*c*e*(a*e*(e^2*f^2 - 6*d*e*f*g + 6*d^2*g^2) - b*d*(3*e^2*f^2 - 12*d*e*f*g + 10*d^2*g^2)))*(d + e*x)
^(3 + m))/(e^7*(3 + m)) + (2*(b*e^2*g*(b*e*f - 2*b*d*g + a*e*g) - 2*c^2*d*(e^2*f^2 - 5*d*e*f*g + 5*d^2*g^2) +
c*e*(2*a*e*g*(e*f - 2*d*g) + b*(e^2*f^2 - 8*d*e*f*g + 10*d^2*g^2)))*(d + e*x)^(4 + m))/(e^7*(4 + m)) + ((b^2*e
^2*g^2 + 2*c*e*g*(2*b*e*f - 5*b*d*g + a*e*g) + c^2*(e^2*f^2 - 10*d*e*f*g + 15*d^2*g^2))*(d + e*x)^(5 + m))/(e^
7*(5 + m)) + (2*c*g*(c*e*f - 3*c*d*g + b*e*g)*(d + e*x)^(6 + m))/(e^7*(6 + m)) + (c^2*g^2*(d + e*x)^(7 + m))/(
e^7*(7 + m))

Rule 961

Int[((d_.) + (e_.)*(x_))^(m_)*((f_.) + (g_.)*(x_))^(n_)*((a_.) + (b_.)*(x_) + (c_.)*(x_)^2)^(p_.), x_Symbol] :
> Int[ExpandIntegrand[(d + e*x)^m*(f + g*x)^n*(a + b*x + c*x^2)^p, x], x] /; FreeQ[{a, b, c, d, e, f, g}, x] &
& NeQ[e*f - d*g, 0] && NeQ[b^2 - 4*a*c, 0] && NeQ[c*d^2 - b*d*e + a*e^2, 0] && IGtQ[p, 0] && (IGtQ[m, 0] || (E
qQ[m, -2] && EqQ[p, 1] && EqQ[2*c*d - b*e, 0]))

Rubi steps \begin{align*} \text {integral}& = \int \left (\frac {\left (c d^2-b d e+a e^2\right )^2 (e f-d g)^2 (d+e x)^m}{e^6}+\frac {2 \left (c d^2-b d e+a e^2\right ) (e f-d g) (-c d (2 e f-3 d g)+e (b e f-2 b d g+a e g)) (d+e x)^{1+m}}{e^6}+\frac {\left (c^2 d^2 \left (6 e^2 f^2-20 d e f g+15 d^2 g^2\right )+e^2 \left (a^2 e^2 g^2+2 a b e g (2 e f-3 d g)+b^2 \left (e^2 f^2-6 d e f g+6 d^2 g^2\right )\right )+2 c e \left (a e \left (e^2 f^2-6 d e f g+6 d^2 g^2\right )-b d \left (3 e^2 f^2-12 d e f g+10 d^2 g^2\right )\right )\right ) (d+e x)^{2+m}}{e^6}+\frac {2 \left (b e^2 g (b e f-2 b d g+a e g)-2 c^2 d \left (e^2 f^2-5 d e f g+5 d^2 g^2\right )+c e \left (2 a e g (e f-2 d g)+b \left (e^2 f^2-8 d e f g+10 d^2 g^2\right )\right )\right ) (d+e x)^{3+m}}{e^6}+\frac {\left (b^2 e^2 g^2+2 c e g (2 b e f-5 b d g+a e g)+c^2 \left (e^2 f^2-10 d e f g+15 d^2 g^2\right )\right ) (d+e x)^{4+m}}{e^6}+\frac {2 c g (c e f-3 c d g+b e g) (d+e x)^{5+m}}{e^6}+\frac {c^2 g^2 (d+e x)^{6+m}}{e^6}\right ) \, dx \\ & = \frac {\left (c d^2-b d e+a e^2\right )^2 (e f-d g)^2 (d+e x)^{1+m}}{e^7 (1+m)}-\frac {2 \left (c d^2-b d e+a e^2\right ) (e f-d g) (c d (2 e f-3 d g)-e (b e f-2 b d g+a e g)) (d+e x)^{2+m}}{e^7 (2+m)}+\frac {\left (c^2 d^2 \left (6 e^2 f^2-20 d e f g+15 d^2 g^2\right )+e^2 \left (a^2 e^2 g^2+2 a b e g (2 e f-3 d g)+b^2 \left (e^2 f^2-6 d e f g+6 d^2 g^2\right )\right )+2 c e \left (a e \left (e^2 f^2-6 d e f g+6 d^2 g^2\right )-b d \left (3 e^2 f^2-12 d e f g+10 d^2 g^2\right )\right )\right ) (d+e x)^{3+m}}{e^7 (3+m)}+\frac {2 \left (b e^2 g (b e f-2 b d g+a e g)-2 c^2 d \left (e^2 f^2-5 d e f g+5 d^2 g^2\right )+c e \left (2 a e g (e f-2 d g)+b \left (e^2 f^2-8 d e f g+10 d^2 g^2\right )\right )\right ) (d+e x)^{4+m}}{e^7 (4+m)}+\frac {\left (b^2 e^2 g^2+2 c e g (2 b e f-5 b d g+a e g)+c^2 \left (e^2 f^2-10 d e f g+15 d^2 g^2\right )\right ) (d+e x)^{5+m}}{e^7 (5+m)}+\frac {2 c g (c e f-3 c d g+b e g) (d+e x)^{6+m}}{e^7 (6+m)}+\frac {c^2 g^2 (d+e x)^{7+m}}{e^7 (7+m)} \\ \end{align*}

Mathematica [A] (verified)

Time = 1.15 (sec) , antiderivative size = 492, normalized size of antiderivative = 0.94 \[ \int (d+e x)^m (f+g x)^2 \left (a+b x+c x^2\right )^2 \, dx=\frac {(d+e x)^{1+m} \left (\frac {\left (c d^2+e (-b d+a e)\right )^2 (e f-d g)^2}{1+m}-\frac {2 \left (c d^2+e (-b d+a e)\right ) (-e f+d g) (c d (-2 e f+3 d g)+e (b e f-2 b d g+a e g)) (d+e x)}{2+m}+\frac {\left (c^2 d^2 \left (6 e^2 f^2-20 d e f g+15 d^2 g^2\right )+e^2 \left (a^2 e^2 g^2+2 a b e g (2 e f-3 d g)+b^2 \left (e^2 f^2-6 d e f g+6 d^2 g^2\right )\right )+2 c e \left (b d \left (-3 e^2 f^2+12 d e f g-10 d^2 g^2\right )+a e \left (e^2 f^2-6 d e f g+6 d^2 g^2\right )\right )\right ) (d+e x)^2}{3+m}+\frac {2 \left (b e^2 g (b e f-2 b d g+a e g)-2 c^2 d \left (e^2 f^2-5 d e f g+5 d^2 g^2\right )+c e \left (2 a e g (e f-2 d g)+b \left (e^2 f^2-8 d e f g+10 d^2 g^2\right )\right )\right ) (d+e x)^3}{4+m}+\frac {\left (b^2 e^2 g^2+2 c e g (2 b e f-5 b d g+a e g)+c^2 \left (e^2 f^2-10 d e f g+15 d^2 g^2\right )\right ) (d+e x)^4}{5+m}+\frac {2 c g (c e f-3 c d g+b e g) (d+e x)^5}{6+m}+\frac {c^2 g^2 (d+e x)^6}{7+m}\right )}{e^7} \]

[In]

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

[Out]

((d + e*x)^(1 + m)*(((c*d^2 + e*(-(b*d) + a*e))^2*(e*f - d*g)^2)/(1 + m) - (2*(c*d^2 + e*(-(b*d) + a*e))*(-(e*
f) + d*g)*(c*d*(-2*e*f + 3*d*g) + e*(b*e*f - 2*b*d*g + a*e*g))*(d + e*x))/(2 + m) + ((c^2*d^2*(6*e^2*f^2 - 20*
d*e*f*g + 15*d^2*g^2) + e^2*(a^2*e^2*g^2 + 2*a*b*e*g*(2*e*f - 3*d*g) + b^2*(e^2*f^2 - 6*d*e*f*g + 6*d^2*g^2))
+ 2*c*e*(b*d*(-3*e^2*f^2 + 12*d*e*f*g - 10*d^2*g^2) + a*e*(e^2*f^2 - 6*d*e*f*g + 6*d^2*g^2)))*(d + e*x)^2)/(3
+ m) + (2*(b*e^2*g*(b*e*f - 2*b*d*g + a*e*g) - 2*c^2*d*(e^2*f^2 - 5*d*e*f*g + 5*d^2*g^2) + c*e*(2*a*e*g*(e*f -
2*d*g) + b*(e^2*f^2 - 8*d*e*f*g + 10*d^2*g^2)))*(d + e*x)^3)/(4 + m) + ((b^2*e^2*g^2 + 2*c*e*g*(2*b*e*f - 5*b
*d*g + a*e*g) + c^2*(e^2*f^2 - 10*d*e*f*g + 15*d^2*g^2))*(d + e*x)^4)/(5 + m) + (2*c*g*(c*e*f - 3*c*d*g + b*e*
g)*(d + e*x)^5)/(6 + m) + (c^2*g^2*(d + e*x)^6)/(7 + m)))/e^7

Maple [B] (verified)

Leaf count of result is larger than twice the leaf count of optimal. \(4652\) vs. \(2(525)=1050\).

Time = 0.78 (sec) , antiderivative size = 4653, normalized size of antiderivative = 8.86

method	result	size
norman	\(\text {Expression too large to display}\)	\(4653\)
gosper	\(\text {Expression too large to display}\)	\(5890\)
risch	\(\text {Expression too large to display}\)	\(7342\)
parallelrisch	\(\text {Expression too large to display}\)	\(10811\)

[In]

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

[Out]

d*(a^2*e^6*f^2*m^6-2*a^2*d*e^5*f*g*m^5+27*a^2*e^6*f^2*m^5-2*a*b*d*e^5*f^2*m^5+2*a^2*d^2*e^4*g^2*m^4-50*a^2*d*e
^5*f*g*m^4+295*a^2*e^6*f^2*m^4+8*a*b*d^2*e^4*f*g*m^4-50*a*b*d*e^5*f^2*m^4+4*a*c*d^2*e^4*f^2*m^4+2*b^2*d^2*e^4*
f^2*m^4+44*a^2*d^2*e^4*g^2*m^3-490*a^2*d*e^5*f*g*m^3+1665*a^2*e^6*f^2*m^3-12*a*b*d^3*e^3*g^2*m^3+176*a*b*d^2*e
^4*f*g*m^3-490*a*b*d*e^5*f^2*m^3-24*a*c*d^3*e^3*f*g*m^3+88*a*c*d^2*e^4*f^2*m^3-12*b^2*d^3*e^3*f*g*m^3+44*b^2*d
^2*e^4*f^2*m^3-12*b*c*d^3*e^3*f^2*m^3+358*a^2*d^2*e^4*g^2*m^2-2350*a^2*d*e^5*f*g*m^2+5104*a^2*e^6*f^2*m^2-216*
a*b*d^3*e^3*g^2*m^2+1432*a*b*d^2*e^4*f*g*m^2-2350*a*b*d*e^5*f^2*m^2+48*a*c*d^4*e^2*g^2*m^2-432*a*c*d^3*e^3*f*g
*m^2+716*a*c*d^2*e^4*f^2*m^2+24*b^2*d^4*e^2*g^2*m^2-216*b^2*d^3*e^3*f*g*m^2+358*b^2*d^2*e^4*f^2*m^2+96*b*c*d^4
*e^2*f*g*m^2-216*b*c*d^3*e^3*f^2*m^2+24*c^2*d^4*e^2*f^2*m^2+1276*a^2*d^2*e^4*g^2*m-5508*a^2*d*e^5*f*g*m+8028*a
^2*e^6*f^2*m-1284*a*b*d^3*e^3*g^2*m+5104*a*b*d^2*e^4*f*g*m-5508*a*b*d*e^5*f^2*m+624*a*c*d^4*e^2*g^2*m-2568*a*c
*d^3*e^3*f*g*m+2552*a*c*d^2*e^4*f^2*m+312*b^2*d^4*e^2*g^2*m-1284*b^2*d^3*e^3*f*g*m+1276*b^2*d^2*e^4*f^2*m-240*
b*c*d^5*e*g^2*m+1248*b*c*d^4*e^2*f*g*m-1284*b*c*d^3*e^3*f^2*m-240*c^2*d^5*e*f*g*m+312*c^2*d^4*e^2*f^2*m+1680*a
^2*d^2*e^4*g^2-5040*a^2*d*e^5*f*g+5040*a^2*e^6*f^2-2520*a*b*d^3*e^3*g^2+6720*a*b*d^2*e^4*f*g-5040*a*b*d*e^5*f^
2+2016*a*c*d^4*e^2*g^2-5040*a*c*d^3*e^3*f*g+3360*a*c*d^2*e^4*f^2+1008*b^2*d^4*e^2*g^2-2520*b^2*d^3*e^3*f*g+168
0*b^2*d^2*e^4*f^2-1680*b*c*d^5*e*g^2+4032*b*c*d^4*e^2*f*g-2520*b*c*d^3*e^3*f^2+720*c^2*d^6*g^2-1680*c^2*d^5*e*
f*g+1008*c^2*d^4*e^2*f^2)/e^7/(m^7+28*m^6+322*m^5+1960*m^4+6769*m^3+13132*m^2+13068*m+5040)*exp(m*ln(e*x+d))+g
^2*c^2/(7+m)*x^7*exp(m*ln(e*x+d))+(2*a*c*e^2*g^2*m^2+b^2*e^2*g^2*m^2+2*b*c*d*e*g^2*m^2+4*b*c*e^2*f*g*m^2+2*c^2
*d*e*f*g*m^2+c^2*e^2*f^2*m^2+26*a*c*e^2*g^2*m+13*b^2*e^2*g^2*m+14*b*c*d*e*g^2*m+52*b*c*e^2*f*g*m-6*c^2*d^2*g^2
*m+14*c^2*d*e*f*g*m+13*c^2*e^2*f^2*m+84*a*c*e^2*g^2+42*b^2*e^2*g^2+168*b*c*e^2*f*g+42*c^2*e^2*f^2)/e^2/(m^3+18
*m^2+107*m+210)*x^5*exp(m*ln(e*x+d))+(2*a*b*e^3*g^2*m^3+2*a*c*d*e^2*g^2*m^3+4*a*c*e^3*f*g*m^3+b^2*d*e^2*g^2*m^
3+2*b^2*e^3*f*g*m^3+4*b*c*d*e^2*f*g*m^3+2*b*c*e^3*f^2*m^3+c^2*d*e^2*f^2*m^3+36*a*b*e^3*g^2*m^2+26*a*c*d*e^2*g^
2*m^2+72*a*c*e^3*f*g*m^2+13*b^2*d*e^2*g^2*m^2+36*b^2*e^3*f*g*m^2-10*b*c*d^2*e*g^2*m^2+52*b*c*d*e^2*f*g*m^2+36*
b*c*e^3*f^2*m^2-10*c^2*d^2*e*f*g*m^2+13*c^2*d*e^2*f^2*m^2+214*a*b*e^3*g^2*m+84*a*c*d*e^2*g^2*m+428*a*c*e^3*f*g
*m+42*b^2*d*e^2*g^2*m+214*b^2*e^3*f*g*m-70*b*c*d^2*e*g^2*m+168*b*c*d*e^2*f*g*m+214*b*c*e^3*f^2*m+30*c^2*d^3*g^
2*m-70*c^2*d^2*e*f*g*m+42*c^2*d*e^2*f^2*m+420*a*b*e^3*g^2+840*a*c*e^3*f*g+420*b^2*e^3*f*g+420*b*c*e^3*f^2)/e^3
/(m^4+22*m^3+179*m^2+638*m+840)*x^4*exp(m*ln(e*x+d))+(a^2*e^4*g^2*m^4+2*a*b*d*e^3*g^2*m^4+4*a*b*e^4*f*g*m^4+4*
a*c*d*e^3*f*g*m^4+2*a*c*e^4*f^2*m^4+2*b^2*d*e^3*f*g*m^4+b^2*e^4*f^2*m^4+2*b*c*d*e^3*f^2*m^4+22*a^2*e^4*g^2*m^3
+36*a*b*d*e^3*g^2*m^3+88*a*b*e^4*f*g*m^3-8*a*c*d^2*e^2*g^2*m^3+72*a*c*d*e^3*f*g*m^3+44*a*c*e^4*f^2*m^3-4*b^2*d
^2*e^2*g^2*m^3+36*b^2*d*e^3*f*g*m^3+22*b^2*e^4*f^2*m^3-16*b*c*d^2*e^2*f*g*m^3+36*b*c*d*e^3*f^2*m^3-4*c^2*d^2*e
^2*f^2*m^3+179*a^2*e^4*g^2*m^2+214*a*b*d*e^3*g^2*m^2+716*a*b*e^4*f*g*m^2-104*a*c*d^2*e^2*g^2*m^2+428*a*c*d*e^3
*f*g*m^2+358*a*c*e^4*f^2*m^2-52*b^2*d^2*e^2*g^2*m^2+214*b^2*d*e^3*f*g*m^2+179*b^2*e^4*f^2*m^2+40*b*c*d^3*e*g^2
*m^2-208*b*c*d^2*e^2*f*g*m^2+214*b*c*d*e^3*f^2*m^2+40*c^2*d^3*e*f*g*m^2-52*c^2*d^2*e^2*f^2*m^2+638*a^2*e^4*g^2
*m+420*a*b*d*e^3*g^2*m+2552*a*b*e^4*f*g*m-336*a*c*d^2*e^2*g^2*m+840*a*c*d*e^3*f*g*m+1276*a*c*e^4*f^2*m-168*b^2
*d^2*e^2*g^2*m+420*b^2*d*e^3*f*g*m+638*b^2*e^4*f^2*m+280*b*c*d^3*e*g^2*m-672*b*c*d^2*e^2*f*g*m+420*b*c*d*e^3*f
^2*m-120*c^2*d^4*g^2*m+280*c^2*d^3*e*f*g*m-168*c^2*d^2*e^2*f^2*m+840*a^2*e^4*g^2+3360*a*b*e^4*f*g+1680*a*c*e^4
*f^2+840*b^2*e^4*f^2)/e^4/(m^5+25*m^4+245*m^3+1175*m^2+2754*m+2520)*x^3*exp(m*ln(e*x+d))+(a^2*d*e^4*g^2*m^5+2*
a^2*e^5*f*g*m^5+4*a*b*d*e^4*f*g*m^5+2*a*b*e^5*f^2*m^5+2*a*c*d*e^4*f^2*m^5+b^2*d*e^4*f^2*m^5+22*a^2*d*e^4*g^2*m
^4+50*a^2*e^5*f*g*m^4-6*a*b*d^2*e^3*g^2*m^4+88*a*b*d*e^4*f*g*m^4+50*a*b*e^5*f^2*m^4-12*a*c*d^2*e^3*f*g*m^4+44*
a*c*d*e^4*f^2*m^4-6*b^2*d^2*e^3*f*g*m^4+22*b^2*d*e^4*f^2*m^4-6*b*c*d^2*e^3*f^2*m^4+179*a^2*d*e^4*g^2*m^3+490*a
^2*e^5*f*g*m^3-108*a*b*d^2*e^3*g^2*m^3+716*a*b*d*e^4*f*g*m^3+490*a*b*e^5*f^2*m^3+24*a*c*d^3*e^2*g^2*m^3-216*a*
c*d^2*e^3*f*g*m^3+358*a*c*d*e^4*f^2*m^3+12*b^2*d^3*e^2*g^2*m^3-108*b^2*d^2*e^3*f*g*m^3+179*b^2*d*e^4*f^2*m^3+4
8*b*c*d^3*e^2*f*g*m^3-108*b*c*d^2*e^3*f^2*m^3+12*c^2*d^3*e^2*f^2*m^3+638*a^2*d*e^4*g^2*m^2+2350*a^2*e^5*f*g*m^
2-642*a*b*d^2*e^3*g^2*m^2+2552*a*b*d*e^4*f*g*m^2+2350*a*b*e^5*f^2*m^2+312*a*c*d^3*e^2*g^2*m^2-1284*a*c*d^2*e^3
*f*g*m^2+1276*a*c*d*e^4*f^2*m^2+156*b^2*d^3*e^2*g^2*m^2-642*b^2*d^2*e^3*f*g*m^2+638*b^2*d*e^4*f^2*m^2-120*b*c*
d^4*e*g^2*m^2+624*b*c*d^3*e^2*f*g*m^2-642*b*c*d^2*e^3*f^2*m^2-120*c^2*d^4*e*f*g*m^2+156*c^2*d^3*e^2*f^2*m^2+84
0*a^2*d*e^4*g^2*m+5508*a^2*e^5*f*g*m-1260*a*b*d^2*e^3*g^2*m+3360*a*b*d*e^4*f*g*m+5508*a*b*e^5*f^2*m+1008*a*c*d
^3*e^2*g^2*m-2520*a*c*d^2*e^3*f*g*m+1680*a*c*d*e^4*f^2*m+504*b^2*d^3*e^2*g^2*m-1260*b^2*d^2*e^3*f*g*m+840*b^2*
d*e^4*f^2*m-840*b*c*d^4*e*g^2*m+2016*b*c*d^3*e^2*f*g*m-1260*b*c*d^2*e^3*f^2*m+360*c^2*d^5*g^2*m-840*c^2*d^4*e*
f*g*m+504*c^2*d^3*e^2*f^2*m+5040*a^2*e^5*f*g+5040*a*b*e^5*f^2)/e^5/(m^6+27*m^5+295*m^4+1665*m^3+5104*m^2+8028*
m+5040)*x^2*exp(m*ln(e*x+d))+c*g*(2*b*e*g*m+c*d*g*m+2*c*e*f*m+14*b*e*g+14*c*e*f)/e/(m^2+13*m+42)*x^6*exp(m*ln(
e*x+d))-(-2*a^2*d*e^5*f*g*m^6-a^2*e^6*f^2*m^6-2*a*b*d*e^5*f^2*m^6+2*a^2*d^2*e^4*g^2*m^5-50*a^2*d*e^5*f*g*m^5-2
7*a^2*e^6*f^2*m^5+8*a*b*d^2*e^4*f*g*m^5-50*a*b*d*e^5*f^2*m^5+4*a*c*d^2*e^4*f^2*m^5+2*b^2*d^2*e^4*f^2*m^5+44*a^
2*d^2*e^4*g^2*m^4-490*a^2*d*e^5*f*g*m^4-295*a^2*e^6*f^2*m^4-12*a*b*d^3*e^3*g^2*m^4+176*a*b*d^2*e^4*f*g*m^4-490
*a*b*d*e^5*f^2*m^4-24*a*c*d^3*e^3*f*g*m^4+88*a*c*d^2*e^4*f^2*m^4-12*b^2*d^3*e^3*f*g*m^4+44*b^2*d^2*e^4*f^2*m^4
-12*b*c*d^3*e^3*f^2*m^4+358*a^2*d^2*e^4*g^2*m^3-2350*a^2*d*e^5*f*g*m^3-1665*a^2*e^6*f^2*m^3-216*a*b*d^3*e^3*g^
2*m^3+1432*a*b*d^2*e^4*f*g*m^3-2350*a*b*d*e^5*f^2*m^3+48*a*c*d^4*e^2*g^2*m^3-432*a*c*d^3*e^3*f*g*m^3+716*a*c*d
^2*e^4*f^2*m^3+24*b^2*d^4*e^2*g^2*m^3-216*b^2*d^3*e^3*f*g*m^3+358*b^2*d^2*e^4*f^2*m^3+96*b*c*d^4*e^2*f*g*m^3-2
16*b*c*d^3*e^3*f^2*m^3+24*c^2*d^4*e^2*f^2*m^3+1276*a^2*d^2*e^4*g^2*m^2-5508*a^2*d*e^5*f*g*m^2-5104*a^2*e^6*f^2
*m^2-1284*a*b*d^3*e^3*g^2*m^2+5104*a*b*d^2*e^4*f*g*m^2-5508*a*b*d*e^5*f^2*m^2+624*a*c*d^4*e^2*g^2*m^2-2568*a*c
*d^3*e^3*f*g*m^2+2552*a*c*d^2*e^4*f^2*m^2+312*b^2*d^4*e^2*g^2*m^2-1284*b^2*d^3*e^3*f*g*m^2+1276*b^2*d^2*e^4*f^
2*m^2-240*b*c*d^5*e*g^2*m^2+1248*b*c*d^4*e^2*f*g*m^2-1284*b*c*d^3*e^3*f^2*m^2-240*c^2*d^5*e*f*g*m^2+312*c^2*d^
4*e^2*f^2*m^2+1680*a^2*d^2*e^4*g^2*m-5040*a^2*d*e^5*f*g*m-8028*a^2*e^6*f^2*m-2520*a*b*d^3*e^3*g^2*m+6720*a*b*d
^2*e^4*f*g*m-5040*a*b*d*e^5*f^2*m+2016*a*c*d^4*e^2*g^2*m-5040*a*c*d^3*e^3*f*g*m+3360*a*c*d^2*e^4*f^2*m+1008*b^
2*d^4*e^2*g^2*m-2520*b^2*d^3*e^3*f*g*m+1680*b^2*d^2*e^4*f^2*m-1680*b*c*d^5*e*g^2*m+4032*b*c*d^4*e^2*f*g*m-2520
*b*c*d^3*e^3*f^2*m+720*c^2*d^6*g^2*m-1680*c^2*d^5*e*f*g*m+1008*c^2*d^4*e^2*f^2*m-5040*a^2*e^6*f^2)/e^6/(m^7+28
*m^6+322*m^5+1960*m^4+6769*m^3+13132*m^2+13068*m+5040)*x*exp(m*ln(e*x+d))

Fricas [B] (verification not implemented)

Leaf count of result is larger than twice the leaf count of optimal. 4747 vs. \(2 (525) = 1050\).

Time = 0.38 (sec) , antiderivative size = 4747, normalized size of antiderivative = 9.04 \[ \int (d+e x)^m (f+g x)^2 \left (a+b x+c x^2\right )^2 \, dx=\text {Too large to display} \]

[In]

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

[Out]

(a^2*d*e^6*f^2*m^6 + (c^2*e^7*g^2*m^6 + 21*c^2*e^7*g^2*m^5 + 175*c^2*e^7*g^2*m^4 + 735*c^2*e^7*g^2*m^3 + 1624*
c^2*e^7*g^2*m^2 + 1764*c^2*e^7*g^2*m + 720*c^2*e^7*g^2)*x^7 + (1680*c^2*e^7*f*g + 1680*b*c*e^7*g^2 + (2*c^2*e^
7*f*g + (c^2*d*e^6 + 2*b*c*e^7)*g^2)*m^6 + (44*c^2*e^7*f*g + (15*c^2*d*e^6 + 44*b*c*e^7)*g^2)*m^5 + 5*(76*c^2*
e^7*f*g + (17*c^2*d*e^6 + 76*b*c*e^7)*g^2)*m^4 + 5*(328*c^2*e^7*f*g + (45*c^2*d*e^6 + 328*b*c*e^7)*g^2)*m^3 +
2*(1849*c^2*e^7*f*g + (137*c^2*d*e^6 + 1849*b*c*e^7)*g^2)*m^2 + 4*(1019*c^2*e^7*f*g + (30*c^2*d*e^6 + 1019*b*c
*e^7)*g^2)*m)*x^6 - (2*a^2*d^2*e^5*f*g + (2*a*b*d^2*e^5 - 27*a^2*d*e^6)*f^2)*m^5 + (1008*c^2*e^7*f^2 + 4032*b*
c*e^7*f*g + 1008*(b^2 + 2*a*c)*e^7*g^2 + (c^2*e^7*f^2 + 2*(c^2*d*e^6 + 2*b*c*e^7)*f*g + (2*b*c*d*e^6 + (b^2 +
2*a*c)*e^7)*g^2)*m^6 + (23*c^2*e^7*f^2 + 2*(17*c^2*d*e^6 + 46*b*c*e^7)*f*g - (6*c^2*d^2*e^5 - 34*b*c*d*e^6 - 2
3*(b^2 + 2*a*c)*e^7)*g^2)*m^5 + 3*(69*c^2*e^7*f^2 + 2*(35*c^2*d*e^6 + 138*b*c*e^7)*f*g - (20*c^2*d^2*e^5 - 70*
b*c*d*e^6 - 69*(b^2 + 2*a*c)*e^7)*g^2)*m^4 + 5*(185*c^2*e^7*f^2 + 2*(59*c^2*d*e^6 + 370*b*c*e^7)*f*g - (42*c^2
*d^2*e^5 - 118*b*c*d*e^6 - 185*(b^2 + 2*a*c)*e^7)*g^2)*m^3 + 4*(536*c^2*e^7*f^2 + (187*c^2*d*e^6 + 2144*b*c*e^
7)*f*g - (75*c^2*d^2*e^5 - 187*b*c*d*e^6 - 536*(b^2 + 2*a*c)*e^7)*g^2)*m^2 + 12*(201*c^2*e^7*f^2 + 4*(7*c^2*d*
e^6 + 201*b*c*e^7)*f*g - (12*c^2*d^2*e^5 - 28*b*c*d*e^6 - 201*(b^2 + 2*a*c)*e^7)*g^2)*m)*x^5 + (2*a^2*d^3*e^4*
g^2 - (50*a*b*d^2*e^5 - 295*a^2*d*e^6 - 2*(b^2 + 2*a*c)*d^3*e^4)*f^2 + 2*(4*a*b*d^3*e^4 - 25*a^2*d^2*e^5)*f*g)
*m^4 + (2520*b*c*e^7*f^2 + 2520*a*b*e^7*g^2 + 2520*(b^2 + 2*a*c)*e^7*f*g + ((c^2*d*e^6 + 2*b*c*e^7)*f^2 + 2*(2
*b*c*d*e^6 + (b^2 + 2*a*c)*e^7)*f*g + (2*a*b*e^7 + (b^2 + 2*a*c)*d*e^6)*g^2)*m^6 + ((19*c^2*d*e^6 + 48*b*c*e^7
)*f^2 - 2*(5*c^2*d^2*e^5 - 38*b*c*d*e^6 - 24*(b^2 + 2*a*c)*e^7)*f*g - (10*b*c*d^2*e^5 - 48*a*b*e^7 - 19*(b^2 +
2*a*c)*d*e^6)*g^2)*m^5 + ((131*c^2*d*e^6 + 452*b*c*e^7)*f^2 - 2*(65*c^2*d^2*e^5 - 262*b*c*d*e^6 - 226*(b^2 +
2*a*c)*e^7)*f*g + (30*c^2*d^3*e^4 - 130*b*c*d^2*e^5 + 452*a*b*e^7 + 131*(b^2 + 2*a*c)*d*e^6)*g^2)*m^4 + ((401*
c^2*d*e^6 + 2112*b*c*e^7)*f^2 - 2*(265*c^2*d^2*e^5 - 802*b*c*d*e^6 - 1056*(b^2 + 2*a*c)*e^7)*f*g + (180*c^2*d^
3*e^4 - 530*b*c*d^2*e^5 + 2112*a*b*e^7 + 401*(b^2 + 2*a*c)*d*e^6)*g^2)*m^3 + 10*((54*c^2*d*e^6 + 509*b*c*e^7)*
f^2 - (83*c^2*d^2*e^5 - 216*b*c*d*e^6 - 509*(b^2 + 2*a*c)*e^7)*f*g + (33*c^2*d^3*e^4 - 83*b*c*d^2*e^5 + 509*a*
b*e^7 + 54*(b^2 + 2*a*c)*d*e^6)*g^2)*m^2 + 12*(3*(7*c^2*d*e^6 + 164*b*c*e^7)*f^2 - (35*c^2*d^2*e^5 - 84*b*c*d*
e^6 - 492*(b^2 + 2*a*c)*e^7)*f*g + (15*c^2*d^3*e^4 - 35*b*c*d^2*e^5 + 492*a*b*e^7 + 21*(b^2 + 2*a*c)*d*e^6)*g^
2)*m)*x^4 - ((12*b*c*d^4*e^3 + 490*a*b*d^2*e^5 - 1665*a^2*d*e^6 - 44*(b^2 + 2*a*c)*d^3*e^4)*f^2 - 2*(88*a*b*d^
3*e^4 - 245*a^2*d^2*e^5 - 6*(b^2 + 2*a*c)*d^4*e^3)*f*g + 4*(3*a*b*d^4*e^3 - 11*a^2*d^3*e^4)*g^2)*m^3 + (6720*a
*b*e^7*f*g + 1680*a^2*e^7*g^2 + 1680*(b^2 + 2*a*c)*e^7*f^2 + ((2*b*c*d*e^6 + (b^2 + 2*a*c)*e^7)*f^2 + 2*(2*a*b
*e^7 + (b^2 + 2*a*c)*d*e^6)*f*g + (2*a*b*d*e^6 + a^2*e^7)*g^2)*m^6 - ((4*c^2*d^2*e^5 - 42*b*c*d*e^6 - 25*(b^2
+ 2*a*c)*e^7)*f^2 + 2*(8*b*c*d^2*e^5 - 50*a*b*e^7 - 21*(b^2 + 2*a*c)*d*e^6)*f*g - (42*a*b*d*e^6 + 25*a^2*e^7 -
4*(b^2 + 2*a*c)*d^2*e^5)*g^2)*m^5 - ((64*c^2*d^2*e^5 - 326*b*c*d*e^6 - 247*(b^2 + 2*a*c)*e^7)*f^2 - 2*(20*c^2
*d^3*e^4 - 128*b*c*d^2*e^5 + 494*a*b*e^7 + 163*(b^2 + 2*a*c)*d*e^6)*f*g - (40*b*c*d^3*e^4 + 326*a*b*d*e^6 + 24
7*a^2*e^7 - 64*(b^2 + 2*a*c)*d^2*e^5)*g^2)*m^4 - ((332*c^2*d^2*e^5 - 1134*b*c*d*e^6 - 1219*(b^2 + 2*a*c)*e^7)*
f^2 - 2*(200*c^2*d^3*e^4 - 664*b*c*d^2*e^5 + 2438*a*b*e^7 + 567*(b^2 + 2*a*c)*d*e^6)*f*g + (120*c^2*d^4*e^3 -
400*b*c*d^3*e^4 - 1134*a*b*d*e^6 - 1219*a^2*e^7 + 332*(b^2 + 2*a*c)*d^2*e^5)*g^2)*m^3 - 8*((76*c^2*d^2*e^5 - 2
11*b*c*d*e^6 - 389*(b^2 + 2*a*c)*e^7)*f^2 - (115*c^2*d^3*e^4 - 304*b*c*d^2*e^5 + 1556*a*b*e^7 + 211*(b^2 + 2*a
*c)*d*e^6)*f*g + (45*c^2*d^4*e^3 - 115*b*c*d^3*e^4 - 211*a*b*d*e^6 - 389*a^2*e^7 + 76*(b^2 + 2*a*c)*d^2*e^5)*g
^2)*m^2 - 4*((84*c^2*d^2*e^5 - 210*b*c*d*e^6 - 949*(b^2 + 2*a*c)*e^7)*f^2 - 2*(70*c^2*d^3*e^4 - 168*b*c*d^2*e^
5 + 1898*a*b*e^7 + 105*(b^2 + 2*a*c)*d*e^6)*f*g + (60*c^2*d^4*e^3 - 140*b*c*d^3*e^4 - 210*a*b*d*e^6 - 949*a^2*
e^7 + 84*(b^2 + 2*a*c)*d^2*e^5)*g^2)*m)*x^3 + 168*(6*c^2*d^5*e^2 - 15*b*c*d^4*e^3 - 30*a*b*d^2*e^5 + 30*a^2*d*
e^6 + 10*(b^2 + 2*a*c)*d^3*e^4)*f^2 - 168*(10*c^2*d^6*e - 24*b*c*d^5*e^2 - 40*a*b*d^3*e^4 + 30*a^2*d^2*e^5 + 1
5*(b^2 + 2*a*c)*d^4*e^3)*f*g + 24*(30*c^2*d^7 - 70*b*c*d^6*e - 105*a*b*d^4*e^3 + 70*a^2*d^3*e^4 + 42*(b^2 + 2*
a*c)*d^5*e^2)*g^2 + 2*((12*c^2*d^5*e^2 - 108*b*c*d^4*e^3 - 1175*a*b*d^2*e^5 + 2552*a^2*d*e^6 + 179*(b^2 + 2*a*
c)*d^3*e^4)*f^2 + (48*b*c*d^5*e^2 + 716*a*b*d^3*e^4 - 1175*a^2*d^2*e^5 - 108*(b^2 + 2*a*c)*d^4*e^3)*f*g - (108
*a*b*d^4*e^3 - 179*a^2*d^3*e^4 - 12*(b^2 + 2*a*c)*d^5*e^2)*g^2)*m^2 + (5040*a*b*e^7*f^2 + 5040*a^2*e^7*f*g + (
a^2*d*e^6*g^2 + (2*a*b*e^7 + (b^2 + 2*a*c)*d*e^6)*f^2 + 2*(2*a*b*d*e^6 + a^2*e^7)*f*g)*m^6 - ((6*b*c*d^2*e^5 -
52*a*b*e^7 - 23*(b^2 + 2*a*c)*d*e^6)*f^2 - 2*(46*a*b*d*e^6 + 26*a^2*e^7 - 3*(b^2 + 2*a*c)*d^2*e^5)*f*g + (6*a
*b*d^2*e^5 - 23*a^2*d*e^6)*g^2)*m^5 + 3*((4*c^2*d^3*e^4 - 38*b*c*d^2*e^5 + 180*a*b*e^7 + 67*(b^2 + 2*a*c)*d*e^
6)*f^2 + 2*(8*b*c*d^3*e^4 + 134*a*b*d*e^6 + 90*a^2*e^7 - 19*(b^2 + 2*a*c)*d^2*e^5)*f*g - (38*a*b*d^2*e^5 - 67*
a^2*d*e^6 - 4*(b^2 + 2*a*c)*d^3*e^4)*g^2)*m^4 + ((168*c^2*d^3*e^4 - 750*b*c*d^2*e^5 + 2840*a*b*e^7 + 817*(b^2
+ 2*a*c)*d*e^6)*f^2 - 2*(60*c^2*d^4*e^3 - 336*b*c*d^3*e^4 - 1634*a*b*d*e^6 - 1420*a^2*e^7 + 375*(b^2 + 2*a*c)*
d^2*e^5)*f*g - (120*b*c*d^4*e^3 + 750*a*b*d^2*e^5 - 817*a^2*d*e^6 - 168*(b^2 + 2*a*c)*d^3*e^4)*g^2)*m^3 + 2*((
330*c^2*d^3*e^4 - 951*b*c*d^2*e^5 + 3929*a*b*e^7 + 739*(b^2 + 2*a*c)*d*e^6)*f^2 - (480*c^2*d^4*e^3 - 1320*b*c*
d^3*e^4 - 2956*a*b*d*e^6 - 3929*a^2*e^7 + 951*(b^2 + 2*a*c)*d^2*e^5)*f*g + (180*c^2*d^5*e^2 - 480*b*c*d^4*e^3
- 951*a*b*d^2*e^5 + 739*a^2*d*e^6 + 330*(b^2 + 2*a*c)*d^3*e^4)*g^2)*m^2 + 12*((42*c^2*d^3*e^4 - 105*b*c*d^2*e^
5 + 879*a*b*e^7 + 70*(b^2 + 2*a*c)*d*e^6)*f^2 - (70*c^2*d^4*e^3 - 168*b*c*d^3*e^4 - 280*a*b*d*e^6 - 879*a^2*e^
7 + 105*(b^2 + 2*a*c)*d^2*e^5)*f*g + (30*c^2*d^5*e^2 - 70*b*c*d^4*e^3 - 105*a*b*d^2*e^5 + 70*a^2*d*e^6 + 42*(b
^2 + 2*a*c)*d^3*e^4)*g^2)*m)*x^2 + 4*((78*c^2*d^5*e^2 - 321*b*c*d^4*e^3 - 1377*a*b*d^2*e^5 + 2007*a^2*d*e^6 +
319*(b^2 + 2*a*c)*d^3*e^4)*f^2 - (60*c^2*d^6*e - 312*b*c*d^5*e^2 - 1276*a*b*d^3*e^4 + 1377*a^2*d^2*e^5 + 321*(
b^2 + 2*a*c)*d^4*e^3)*f*g - (60*b*c*d^6*e + 321*a*b*d^4*e^3 - 319*a^2*d^3*e^4 - 78*(b^2 + 2*a*c)*d^5*e^2)*g^2)
*m + (5040*a^2*e^7*f^2 + (2*a^2*d*e^6*f*g + (2*a*b*d*e^6 + a^2*e^7)*f^2)*m^6 - (2*a^2*d^2*e^5*g^2 - (50*a*b*d*
e^6 + 27*a^2*e^7 - 2*(b^2 + 2*a*c)*d^2*e^5)*f^2 + 2*(4*a*b*d^2*e^5 - 25*a^2*d*e^6)*f*g)*m^5 + ((12*b*c*d^3*e^4
+ 490*a*b*d*e^6 + 295*a^2*e^7 - 44*(b^2 + 2*a*c)*d^2*e^5)*f^2 - 2*(88*a*b*d^2*e^5 - 245*a^2*d*e^6 - 6*(b^2 +
2*a*c)*d^3*e^4)*f*g + 4*(3*a*b*d^3*e^4 - 11*a^2*d^2*e^5)*g^2)*m^4 - ((24*c^2*d^4*e^3 - 216*b*c*d^3*e^4 - 2350*
a*b*d*e^6 - 1665*a^2*e^7 + 358*(b^2 + 2*a*c)*d^2*e^5)*f^2 + 2*(48*b*c*d^4*e^3 + 716*a*b*d^2*e^5 - 1175*a^2*d*e
^6 - 108*(b^2 + 2*a*c)*d^3*e^4)*f*g - 2*(108*a*b*d^3*e^4 - 179*a^2*d^2*e^5 - 12*(b^2 + 2*a*c)*d^4*e^3)*g^2)*m^
3 - 4*((78*c^2*d^4*e^3 - 321*b*c*d^3*e^4 - 1377*a*b*d*e^6 - 1276*a^2*e^7 + 319*(b^2 + 2*a*c)*d^2*e^5)*f^2 - (6
0*c^2*d^5*e^2 - 312*b*c*d^4*e^3 - 1276*a*b*d^2*e^5 + 1377*a^2*d*e^6 + 321*(b^2 + 2*a*c)*d^3*e^4)*f*g - (60*b*c
*d^5*e^2 + 321*a*b*d^3*e^4 - 319*a^2*d^2*e^5 - 78*(b^2 + 2*a*c)*d^4*e^3)*g^2)*m^2 - 12*((84*c^2*d^4*e^3 - 210*
b*c*d^3*e^4 - 420*a*b*d*e^6 - 669*a^2*e^7 + 140*(b^2 + 2*a*c)*d^2*e^5)*f^2 - 14*(10*c^2*d^5*e^2 - 24*b*c*d^4*e
^3 - 40*a*b*d^2*e^5 + 30*a^2*d*e^6 + 15*(b^2 + 2*a*c)*d^3*e^4)*f*g + 2*(30*c^2*d^6*e - 70*b*c*d^5*e^2 - 105*a*
b*d^3*e^4 + 70*a^2*d^2*e^5 + 42*(b^2 + 2*a*c)*d^4*e^3)*g^2)*m)*x)*(e*x + d)^m/(e^7*m^7 + 28*e^7*m^6 + 322*e^7*
m^5 + 1960*e^7*m^4 + 6769*e^7*m^3 + 13132*e^7*m^2 + 13068*e^7*m + 5040*e^7)

Sympy [B] (verification not implemented)

Leaf count of result is larger than twice the leaf count of optimal. 74400 vs. \(2 (537) = 1074\).

Time = 11.37 (sec) , antiderivative size = 74400, normalized size of antiderivative = 141.71 \[ \int (d+e x)^m (f+g x)^2 \left (a+b x+c x^2\right )^2 \, dx=\text {Too large to display} \]

[In]

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

[Out]

Piecewise((d**m*(a**2*f**2*x + a**2*f*g*x**2 + a**2*g**2*x**3/3 + a*b*f**2*x**2 + 4*a*b*f*g*x**3/3 + a*b*g**2*
x**4/2 + 2*a*c*f**2*x**3/3 + a*c*f*g*x**4 + 2*a*c*g**2*x**5/5 + b**2*f**2*x**3/3 + b**2*f*g*x**4/2 + b**2*g**2
*x**5/5 + b*c*f**2*x**4/2 + 4*b*c*f*g*x**5/5 + b*c*g**2*x**6/3 + c**2*f**2*x**5/5 + c**2*f*g*x**6/3 + c**2*g**
2*x**7/7), Eq(e, 0)), (-a**2*d**2*e**4*g**2/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e
**10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) - 4*a**2*d*e**5*f*g/(60*d**6*e**7 + 360*d*
*5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6
) - 6*a**2*d*e**5*g**2*x/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**
2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) - 10*a**2*e**6*f**2/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**
4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) - 24*a**2*e**6*f*
g*x/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*d*
e**12*x**5 + 60*e**13*x**6) - 15*a**2*e**6*g**2*x**2/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 + 12
00*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) - 2*a*b*d**3*e**3*g**2/(60*d**6*e
**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 6
0*e**13*x**6) - 4*a*b*d**2*e**4*f*g/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**
3 + 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) - 12*a*b*d**2*e**4*g**2*x/(60*d**6*e**7 + 360*d**5
*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6)
- 4*a*b*d*e**5*f**2/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**
11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) - 24*a*b*d*e**5*f*g*x/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e
**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) - 30*a*b*d*e**5*g**2
*x**2/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*
d*e**12*x**5 + 60*e**13*x**6) - 24*a*b*e**6*f**2*x/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 + 1200
*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) - 60*a*b*e**6*f*g*x**2/(60*d**6*e**
7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*
e**13*x**6) - 40*a*b*e**6*g**2*x**3/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**
3 + 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) - 4*a*c*d**4*e**2*g**2/(60*d**6*e**7 + 360*d**5*e*
*8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) - 4
*a*c*d**3*e**3*f*g/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**1
1*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) - 24*a*c*d**3*e**3*g**2*x/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**
4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) - 2*a*c*d**2*e**4
*f**2/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*
d*e**12*x**5 + 60*e**13*x**6) - 24*a*c*d**2*e**4*f*g*x/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 +
1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) - 60*a*c*d**2*e**4*g**2*x**2/(6
0*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*
x**5 + 60*e**13*x**6) - 12*a*c*d*e**5*f**2*x/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*
e**10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) - 60*a*c*d*e**5*f*g*x**2/(60*d**6*e**7 +
360*d**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**1
3*x**6) - 80*a*c*d*e**5*g**2*x**3/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3
+ 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) - 30*a*c*e**6*f**2*x**2/(60*d**6*e**7 + 360*d**5*e**
8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) - 80
*a*c*e**6*f*g*x**3/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**1
1*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) - 60*a*c*e**6*g**2*x**4/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*
e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) - 2*b**2*d**4*e**2*
g**2/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*d
*e**12*x**5 + 60*e**13*x**6) - 2*b**2*d**3*e**3*f*g/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 + 120
0*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) - 12*b**2*d**3*e**3*g**2*x/(60*d**
6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*x**5
+ 60*e**13*x**6) - b**2*d**2*e**4*f**2/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*
x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) - 12*b**2*d**2*e**4*f*g*x/(60*d**6*e**7 + 360*d
**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**
6) - 30*b**2*d**2*e**4*g**2*x**2/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 +
900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) - 6*b**2*d*e**5*f**2*x/(60*d**6*e**7 + 360*d**5*e**8*
x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) - 30*b
**2*d*e**5*f*g*x**2/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**
11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) - 40*b**2*d*e**5*g**2*x**3/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d
**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) - 15*b**2*e**6*
f**2*x**2/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 +
360*d*e**12*x**5 + 60*e**13*x**6) - 40*b**2*e**6*f*g*x**3/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2
+ 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) - 30*b**2*e**6*g**2*x**4/(60
*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*x
**5 + 60*e**13*x**6) - 20*b*c*d**5*e*g**2/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**
10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) - 8*b*c*d**4*e**2*f*g/(60*d**6*e**7 + 360*d*
*5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6
) - 120*b*c*d**4*e**2*g**2*x/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900
*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) - 2*b*c*d**3*e**3*f**2/(60*d**6*e**7 + 360*d**5*e**8*x +
900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) - 48*b*c*d
**3*e**3*f*g*x/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x*
*4 + 360*d*e**12*x**5 + 60*e**13*x**6) - 300*b*c*d**3*e**3*g**2*x**2/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**
4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) - 12*b*c*d**2*e**
4*f**2*x/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 3
60*d*e**12*x**5 + 60*e**13*x**6) - 120*b*c*d**2*e**4*f*g*x**2/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*
x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) - 400*b*c*d**2*e**4*g**2
*x**3/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*
d*e**12*x**5 + 60*e**13*x**6) - 30*b*c*d*e**5*f**2*x**2/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 +
1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) - 160*b*c*d*e**5*f*g*x**3/(60*
d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*x*
*5 + 60*e**13*x**6) - 300*b*c*d*e**5*g**2*x**4/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**
3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) - 40*b*c*e**6*f**2*x**3/(60*d**6*e**7 +
360*d**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**
13*x**6) - 120*b*c*e**6*f*g*x**4/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 +
900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) - 120*b*c*e**6*g**2*x**5/(60*d**6*e**7 + 360*d**5*e**
8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) + 60
*c**2*d**6*g**2*log(d/e + x)/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900
*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) + 147*c**2*d**6*g**2/(60*d**6*e**7 + 360*d**5*e**8*x + 90
0*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) - 20*c**2*d*
*5*e*f*g/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 3
60*d*e**12*x**5 + 60*e**13*x**6) + 360*c**2*d**5*e*g**2*x*log(d/e + x)/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d
**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) + 822*c**2*d**5
*e*g**2*x/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 +
360*d*e**12*x**5 + 60*e**13*x**6) - 2*c**2*d**4*e**2*f**2/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2
+ 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) - 120*c**2*d**4*e**2*f*g*x/(
60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12
*x**5 + 60*e**13*x**6) + 900*c**2*d**4*e**2*g**2*x**2*log(d/e + x)/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*
e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) + 1875*c**2*d**4*e*
*2*g**2*x**2/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4
+ 360*d*e**12*x**5 + 60*e**13*x**6) - 12*c**2*d**3*e**3*f**2*x/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**
9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) - 300*c**2*d**3*e**3*f
*g*x**2/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 36
0*d*e**12*x**5 + 60*e**13*x**6) + 1200*c**2*d**3*e**3*g**2*x**3*log(d/e + x)/(60*d**6*e**7 + 360*d**5*e**8*x +
900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) + 2200*c*
*2*d**3*e**3*g**2*x**3/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*
e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) - 30*c**2*d**2*e**4*f**2*x**2/(60*d**6*e**7 + 360*d**5*e**8*x +
900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) - 400*c**
2*d**2*e**4*f*g*x**3/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e*
*11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) + 900*c**2*d**2*e**4*g**2*x**4*log(d/e + x)/(60*d**6*e**7 + 360*d
**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**
6) + 1350*c**2*d**2*e**4*g**2*x**4/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3
+ 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) - 40*c**2*d*e**5*f**2*x**3/(60*d**6*e**7 + 360*d**5
*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6)
- 300*c**2*d*e**5*f*g*x**4/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d
**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) + 360*c**2*d*e**5*g**2*x**5*log(d/e + x)/(60*d**6*e**7 + 36
0*d**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*
x**6) + 360*c**2*d*e**5*g**2*x**5/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3
+ 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) - 30*c**2*e**6*f**2*x**4/(60*d**6*e**7 + 360*d**5*e*
*8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) - 1
20*c**2*e**6*f*g*x**5/(60*d**6*e**7 + 360*d**5*e**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e
**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6) + 60*c**2*e**6*g**2*x**6*log(d/e + x)/(60*d**6*e**7 + 360*d**5*e
**8*x + 900*d**4*e**9*x**2 + 1200*d**3*e**10*x**3 + 900*d**2*e**11*x**4 + 360*d*e**12*x**5 + 60*e**13*x**6), E
q(m, -7)), (-a**2*d**2*e**4*g**2/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 +
150*d*e**11*x**4 + 30*e**12*x**5) - 3*a**2*d*e**5*f*g/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 3
00*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) - 5*a**2*d*e**5*g**2*x/(30*d**5*e**7 + 150*d**4*e**8*x
+ 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) - 6*a**2*e**6*f**2/(30*d**5*e**
7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) - 15*a**2*e
**6*f*g*x/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e
**12*x**5) - 10*a**2*e**6*g**2*x**2/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3
+ 150*d*e**11*x**4 + 30*e**12*x**5) - 3*a*b*d**3*e**3*g**2/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x*
*2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) - 4*a*b*d**2*e**4*f*g/(30*d**5*e**7 + 150*d**4*e*
*8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) - 15*a*b*d**2*e**4*g**2*x/
(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5)
- 3*a*b*d*e**5*f**2/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*
x**4 + 30*e**12*x**5) - 20*a*b*d*e**5*f*g*x/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e*
*10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) - 30*a*b*d*e**5*g**2*x**2/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d
**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) - 15*a*b*e**6*f**2*x/(30*d**5*e**7 + 1
50*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) - 40*a*b*e**6*f*
g*x**2/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**1
2*x**5) - 30*a*b*e**6*g**2*x**3/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 1
50*d*e**11*x**4 + 30*e**12*x**5) - 12*a*c*d**4*e**2*g**2/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2
+ 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) - 6*a*c*d**3*e**3*f*g/(30*d**5*e**7 + 150*d**4*e**8*
x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) - 60*a*c*d**3*e**3*g**2*x/(30
*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) -
2*a*c*d**2*e**4*f**2/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*
x**4 + 30*e**12*x**5) - 30*a*c*d**2*e**4*f*g*x/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2
*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) - 120*a*c*d**2*e**4*g**2*x**2/(30*d**5*e**7 + 150*d**4*e**8*x
+ 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) - 10*a*c*d*e**5*f**2*x/(30*d**5
*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) - 60*a*
c*d*e**5*f*g*x**2/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**
4 + 30*e**12*x**5) - 120*a*c*d*e**5*g**2*x**3/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*
e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) - 20*a*c*e**6*f**2*x**2/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d
**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) - 60*a*c*e**6*f*g*x**3/(30*d**5*e**7 +
150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) - 60*a*c*e**6*
g**2*x**4/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e
**12*x**5) - 6*b**2*d**4*e**2*g**2/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3
+ 150*d*e**11*x**4 + 30*e**12*x**5) - 3*b**2*d**3*e**3*f*g/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**
2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) - 30*b**2*d**3*e**3*g**2*x/(30*d**5*e**7 + 150*d**
4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) - b**2*d**2*e**4*f**2/
(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5)
- 15*b**2*d**2*e**4*f*g*x/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*
e**11*x**4 + 30*e**12*x**5) - 60*b**2*d**2*e**4*g**2*x**2/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2
+ 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) - 5*b**2*d*e**5*f**2*x/(30*d**5*e**7 + 150*d**4*e**
8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) - 30*b**2*d*e**5*f*g*x**2/(
30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5)
- 60*b**2*d*e**5*g**2*x**3/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*
e**11*x**4 + 30*e**12*x**5) - 10*b**2*e**6*f**2*x**2/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 30
0*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) - 30*b**2*e**6*f*g*x**3/(30*d**5*e**7 + 150*d**4*e**8*x
+ 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) - 30*b**2*e**6*g**2*x**4/(30*d*
*5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) + 60*
b*c*d**5*e*g**2*log(d/e + x)/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*
d*e**11*x**4 + 30*e**12*x**5) + 137*b*c*d**5*e*g**2/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300
*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) - 24*b*c*d**4*e**2*f*g/(30*d**5*e**7 + 150*d**4*e**8*x +
300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) + 300*b*c*d**4*e**2*g**2*x*log(d/
e + x)/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**1
2*x**5) + 625*b*c*d**4*e**2*g**2*x/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3
+ 150*d*e**11*x**4 + 30*e**12*x**5) - 3*b*c*d**3*e**3*f**2/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**
2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) - 120*b*c*d**3*e**3*f*g*x/(30*d**5*e**7 + 150*d**4
*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) + 600*b*c*d**3*e**3*g**
2*x**2*log(d/e + x)/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x
**4 + 30*e**12*x**5) + 1100*b*c*d**3*e**3*g**2*x**2/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300
*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) - 15*b*c*d**2*e**4*f**2*x/(30*d**5*e**7 + 150*d**4*e**8*x
+ 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) - 240*b*c*d**2*e**4*f*g*x**2/(
30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5)
+ 600*b*c*d**2*e**4*g**2*x**3*log(d/e + x)/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**
10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) + 900*b*c*d**2*e**4*g**2*x**3/(30*d**5*e**7 + 150*d**4*e**8*x + 30
0*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) - 30*b*c*d*e**5*f**2*x**2/(30*d**5*
e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) - 240*b*
c*d*e**5*f*g*x**3/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**
4 + 30*e**12*x**5) + 300*b*c*d*e**5*g**2*x**4*log(d/e + x)/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**
2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) + 300*b*c*d*e**5*g**2*x**4/(30*d**5*e**7 + 150*d**
4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) - 30*b*c*e**6*f**2*x**
3/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**
5) - 120*b*c*e**6*f*g*x**4/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*
e**11*x**4 + 30*e**12*x**5) + 60*b*c*e**6*g**2*x**5*log(d/e + x)/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e*
*9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) - 180*c**2*d**6*g**2*log(d/e + x)/(30*d**5*e
**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) - 411*c**
2*d**6*g**2/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30
*e**12*x**5) + 60*c**2*d**5*e*f*g*log(d/e + x)/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2
*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) + 137*c**2*d**5*e*f*g/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d*
*3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) - 900*c**2*d**5*e*g**2*x*log(d/e + x)/(
30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5)
- 1875*c**2*d**5*e*g**2*x/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e
**11*x**4 + 30*e**12*x**5) - 6*c**2*d**4*e**2*f**2/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*
d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) + 300*c**2*d**4*e**2*f*g*x*log(d/e + x)/(30*d**5*e**7 + 15
0*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) + 625*c**2*d**4*e
**2*f*g*x/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e
**12*x**5) - 1800*c**2*d**4*e**2*g**2*x**2*log(d/e + x)/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 +
300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) - 3300*c**2*d**4*e**2*g**2*x**2/(30*d**5*e**7 + 150*d
**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) - 30*c**2*d**3*e**3*
f**2*x/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**1
2*x**5) + 600*c**2*d**3*e**3*f*g*x**2*log(d/e + x)/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*
d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) + 1100*c**2*d**3*e**3*f*g*x**2/(30*d**5*e**7 + 150*d**4*e*
*8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) - 1800*c**2*d**3*e**3*g**2
*x**3*log(d/e + x)/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x*
*4 + 30*e**12*x**5) - 2700*c**2*d**3*e**3*g**2*x**3/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300
*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) - 60*c**2*d**2*e**4*f**2*x**2/(30*d**5*e**7 + 150*d**4*e*
*8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) + 600*c**2*d**2*e**4*f*g*x
**3*log(d/e + x)/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4
+ 30*e**12*x**5) + 900*c**2*d**2*e**4*f*g*x**3/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**
2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) - 900*c**2*d**2*e**4*g**2*x**4*log(d/e + x)/(30*d**5*e**7 + 1
50*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) - 900*c**2*d**2*
e**4*g**2*x**4/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 +
30*e**12*x**5) - 60*c**2*d*e**5*f**2*x**3/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**
10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) + 300*c**2*d*e**5*f*g*x**4*log(d/e + x)/(30*d**5*e**7 + 150*d**4*e
**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) + 300*c**2*d*e**5*f*g*x**
4/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**
5) - 180*c**2*d*e**5*g**2*x**5*log(d/e + x)/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e*
*10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) - 30*c**2*e**6*f**2*x**4/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d*
*3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) + 60*c**2*e**6*f*g*x**5*log(d/e + x)/(3
0*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**11*x**4 + 30*e**12*x**5) +
30*c**2*e**6*g**2*x**6/(30*d**5*e**7 + 150*d**4*e**8*x + 300*d**3*e**9*x**2 + 300*d**2*e**10*x**3 + 150*d*e**
11*x**4 + 30*e**12*x**5), Eq(m, -6)), (-a**2*d**2*e**4*g**2/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2
+ 48*d*e**10*x**3 + 12*e**11*x**4) - 2*a**2*d*e**5*f*g/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 4
8*d*e**10*x**3 + 12*e**11*x**4) - 4*a**2*d*e**5*g**2*x/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48
*d*e**10*x**3 + 12*e**11*x**4) - 3*a**2*e**6*f**2/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e*
*10*x**3 + 12*e**11*x**4) - 8*a**2*e**6*f*g*x/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*
x**3 + 12*e**11*x**4) - 6*a**2*e**6*g**2*x**2/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*
x**3 + 12*e**11*x**4) - 6*a*b*d**3*e**3*g**2/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x
**3 + 12*e**11*x**4) - 4*a*b*d**2*e**4*f*g/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**
3 + 12*e**11*x**4) - 24*a*b*d**2*e**4*g**2*x/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x
**3 + 12*e**11*x**4) - 2*a*b*d*e**5*f**2/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3
+ 12*e**11*x**4) - 16*a*b*d*e**5*f*g*x/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 +
12*e**11*x**4) - 36*a*b*d*e**5*g**2*x**2/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3
+ 12*e**11*x**4) - 8*a*b*e**6*f**2*x/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12
*e**11*x**4) - 24*a*b*e**6*f*g*x**2/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*
e**11*x**4) - 24*a*b*e**6*g**2*x**3/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*
e**11*x**4) + 24*a*c*d**4*e**2*g**2*log(d/e + x)/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**
10*x**3 + 12*e**11*x**4) + 50*a*c*d**4*e**2*g**2/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**
10*x**3 + 12*e**11*x**4) - 12*a*c*d**3*e**3*f*g/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**1
0*x**3 + 12*e**11*x**4) + 96*a*c*d**3*e**3*g**2*x*log(d/e + x)/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x
**2 + 48*d*e**10*x**3 + 12*e**11*x**4) + 176*a*c*d**3*e**3*g**2*x/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**
9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) - 2*a*c*d**2*e**4*f**2/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9
*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) - 48*a*c*d**2*e**4*f*g*x/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**
9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) + 144*a*c*d**2*e**4*g**2*x**2*log(d/e + x)/(12*d**4*e**7 + 48*d**3*e
**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) + 216*a*c*d**2*e**4*g**2*x**2/(12*d**4*e**7 + 48*
d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) - 8*a*c*d*e**5*f**2*x/(12*d**4*e**7 + 48*d*
*3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) - 72*a*c*d*e**5*f*g*x**2/(12*d**4*e**7 + 48*d
**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) + 96*a*c*d*e**5*g**2*x**3*log(d/e + x)/(12*d
**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) + 96*a*c*d*e**5*g**2*x**3/(12
*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) - 12*a*c*e**6*f**2*x**2/(12
*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) - 48*a*c*e**6*f*g*x**3/(12*
d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) + 24*a*c*e**6*g**2*x**4*log(
d/e + x)/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) + 12*b**2*d**4*
e**2*g**2*log(d/e + x)/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) +
25*b**2*d**4*e**2*g**2/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4)
- 6*b**2*d**3*e**3*f*g/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) +
48*b**2*d**3*e**3*g**2*x*log(d/e + x)/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 +
12*e**11*x**4) + 88*b**2*d**3*e**3*g**2*x/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3
+ 12*e**11*x**4) - b**2*d**2*e**4*f**2/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 +
12*e**11*x**4) - 24*b**2*d**2*e**4*f*g*x/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3
+ 12*e**11*x**4) + 72*b**2*d**2*e**4*g**2*x**2*log(d/e + x)/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**
2 + 48*d*e**10*x**3 + 12*e**11*x**4) + 108*b**2*d**2*e**4*g**2*x**2/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e
**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) - 4*b**2*d*e**5*f**2*x/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e*
*9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) - 36*b**2*d*e**5*f*g*x**2/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*
e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) + 48*b**2*d*e**5*g**2*x**3*log(d/e + x)/(12*d**4*e**7 + 48*d**3*e
**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) + 48*b**2*d*e**5*g**2*x**3/(12*d**4*e**7 + 48*d**
3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) - 6*b**2*e**6*f**2*x**2/(12*d**4*e**7 + 48*d**
3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) - 24*b**2*e**6*f*g*x**3/(12*d**4*e**7 + 48*d**
3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) + 12*b**2*e**6*g**2*x**4*log(d/e + x)/(12*d**4
*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) - 120*b*c*d**5*e*g**2*log(d/e +
x)/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) - 250*b*c*d**5*e*g**2
/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) + 48*b*c*d**4*e**2*f*g*
log(d/e + x)/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) + 100*b*c*d
**4*e**2*f*g/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) - 480*b*c*d
**4*e**2*g**2*x*log(d/e + x)/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x
**4) - 880*b*c*d**4*e**2*g**2*x/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**1
1*x**4) - 6*b*c*d**3*e**3*f**2/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11
*x**4) + 192*b*c*d**3*e**3*f*g*x*log(d/e + x)/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*
x**3 + 12*e**11*x**4) + 352*b*c*d**3*e**3*f*g*x/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**1
0*x**3 + 12*e**11*x**4) - 720*b*c*d**3*e**3*g**2*x**2*log(d/e + x)/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e*
*9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) - 1080*b*c*d**3*e**3*g**2*x**2/(12*d**4*e**7 + 48*d**3*e**8*x + 72*
d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) - 24*b*c*d**2*e**4*f**2*x/(12*d**4*e**7 + 48*d**3*e**8*x + 7
2*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) + 288*b*c*d**2*e**4*f*g*x**2*log(d/e + x)/(12*d**4*e**7 +
48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) + 432*b*c*d**2*e**4*f*g*x**2/(12*d**4*e*
*7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) - 480*b*c*d**2*e**4*g**2*x**3*log(d
/e + x)/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) - 480*b*c*d**2*e
**4*g**2*x**3/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) - 36*b*c*d
*e**5*f**2*x**2/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) + 192*b*
c*d*e**5*f*g*x**3*log(d/e + x)/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11
*x**4) + 192*b*c*d*e**5*f*g*x**3/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**
11*x**4) - 120*b*c*d*e**5*g**2*x**4*log(d/e + x)/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**
10*x**3 + 12*e**11*x**4) - 24*b*c*e**6*f**2*x**3/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**
10*x**3 + 12*e**11*x**4) + 48*b*c*e**6*f*g*x**4*log(d/e + x)/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**
2 + 48*d*e**10*x**3 + 12*e**11*x**4) + 24*b*c*e**6*g**2*x**5/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**
2 + 48*d*e**10*x**3 + 12*e**11*x**4) + 180*c**2*d**6*g**2*log(d/e + x)/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**
2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) + 375*c**2*d**6*g**2/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e
**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) - 120*c**2*d**5*e*f*g*log(d/e + x)/(12*d**4*e**7 + 48*d**3*e**8*x
+ 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) - 250*c**2*d**5*e*f*g/(12*d**4*e**7 + 48*d**3*e**8*x +
72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) + 720*c**2*d**5*e*g**2*x*log(d/e + x)/(12*d**4*e**7 + 48*
d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) + 1320*c**2*d**5*e*g**2*x/(12*d**4*e**7 + 4
8*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) + 12*c**2*d**4*e**2*f**2*log(d/e + x)/(12
*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) + 25*c**2*d**4*e**2*f**2/(1
2*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) - 480*c**2*d**4*e**2*f*g*x
*log(d/e + x)/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) - 880*c**2
*d**4*e**2*f*g*x/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) + 1080*
c**2*d**4*e**2*g**2*x**2*log(d/e + x)/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 1
2*e**11*x**4) + 1620*c**2*d**4*e**2*g**2*x**2/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*
x**3 + 12*e**11*x**4) + 48*c**2*d**3*e**3*f**2*x*log(d/e + x)/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x*
*2 + 48*d*e**10*x**3 + 12*e**11*x**4) + 88*c**2*d**3*e**3*f**2*x/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9
*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) - 720*c**2*d**3*e**3*f*g*x**2*log(d/e + x)/(12*d**4*e**7 + 48*d**3*e*
*8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) - 1080*c**2*d**3*e**3*f*g*x**2/(12*d**4*e**7 + 48*
d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) + 720*c**2*d**3*e**3*g**2*x**3*log(d/e + x)
/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) + 720*c**2*d**3*e**3*g*
*2*x**3/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) + 72*c**2*d**2*e
**4*f**2*x**2*log(d/e + x)/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**
4) + 108*c**2*d**2*e**4*f**2*x**2/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e*
*11*x**4) - 480*c**2*d**2*e**4*f*g*x**3*log(d/e + x)/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d
*e**10*x**3 + 12*e**11*x**4) - 480*c**2*d**2*e**4*f*g*x**3/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2
+ 48*d*e**10*x**3 + 12*e**11*x**4) + 180*c**2*d**2*e**4*g**2*x**4*log(d/e + x)/(12*d**4*e**7 + 48*d**3*e**8*x
+ 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) + 48*c**2*d*e**5*f**2*x**3*log(d/e + x)/(12*d**4*e**7 +
48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) + 48*c**2*d*e**5*f**2*x**3/(12*d**4*e**
7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) - 120*c**2*d*e**5*f*g*x**4*log(d/e +
x)/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) - 36*c**2*d*e**5*g**
2*x**5/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) + 12*c**2*e**6*f*
*2*x**4*log(d/e + x)/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) + 2
4*c**2*e**6*f*g*x**5/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4) + 6
*c**2*e**6*g**2*x**6/(12*d**4*e**7 + 48*d**3*e**8*x + 72*d**2*e**9*x**2 + 48*d*e**10*x**3 + 12*e**11*x**4), Eq
(m, -5)), (-a**2*d**2*e**4*g**2/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) - a**2*d*e**5*f*g
/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) - 3*a**2*d*e**5*g**2*x/(3*d**3*e**7 + 9*d**2*e**
8*x + 9*d*e**9*x**2 + 3*e**10*x**3) - a**2*e**6*f**2/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x*
*3) - 3*a**2*e**6*f*g*x/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) - 3*a**2*e**6*g**2*x**2/(
3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) + 6*a*b*d**3*e**3*g**2*log(d/e + x)/(3*d**3*e**7 +
9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) + 11*a*b*d**3*e**3*g**2/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9
*x**2 + 3*e**10*x**3) - 4*a*b*d**2*e**4*f*g/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) + 18*
a*b*d**2*e**4*g**2*x*log(d/e + x)/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) + 27*a*b*d**2*e
**4*g**2*x/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) - a*b*d*e**5*f**2/(3*d**3*e**7 + 9*d**
2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) - 12*a*b*d*e**5*f*g*x/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 +
3*e**10*x**3) + 18*a*b*d*e**5*g**2*x**2*log(d/e + x)/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x*
*3) + 18*a*b*d*e**5*g**2*x**2/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) - 3*a*b*e**6*f**2*x
/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) - 12*a*b*e**6*f*g*x**2/(3*d**3*e**7 + 9*d**2*e**
8*x + 9*d*e**9*x**2 + 3*e**10*x**3) + 6*a*b*e**6*g**2*x**3*log(d/e + x)/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**
9*x**2 + 3*e**10*x**3) - 24*a*c*d**4*e**2*g**2*log(d/e + x)/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e
**10*x**3) - 44*a*c*d**4*e**2*g**2/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) + 12*a*c*d**3*
e**3*f*g*log(d/e + x)/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) + 22*a*c*d**3*e**3*f*g/(3*d
**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) - 72*a*c*d**3*e**3*g**2*x*log(d/e + x)/(3*d**3*e**7 +
9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) - 108*a*c*d**3*e**3*g**2*x/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e
**9*x**2 + 3*e**10*x**3) - 2*a*c*d**2*e**4*f**2/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) +
36*a*c*d**2*e**4*f*g*x*log(d/e + x)/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) + 54*a*c*d**
2*e**4*f*g*x/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) - 72*a*c*d**2*e**4*g**2*x**2*log(d/e
+ x)/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) - 72*a*c*d**2*e**4*g**2*x**2/(3*d**3*e**7 +
9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) - 6*a*c*d*e**5*f**2*x/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x
**2 + 3*e**10*x**3) + 36*a*c*d*e**5*f*g*x**2*log(d/e + x)/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**
10*x**3) + 36*a*c*d*e**5*f*g*x**2/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) - 24*a*c*d*e**5
*g**2*x**3*log(d/e + x)/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) - 6*a*c*e**6*f**2*x**2/(3
*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) + 12*a*c*e**6*f*g*x**3*log(d/e + x)/(3*d**3*e**7 +
9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) + 6*a*c*e**6*g**2*x**4/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x
**2 + 3*e**10*x**3) - 12*b**2*d**4*e**2*g**2*log(d/e + x)/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**
10*x**3) - 22*b**2*d**4*e**2*g**2/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) + 6*b**2*d**3*e
**3*f*g*log(d/e + x)/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) + 11*b**2*d**3*e**3*f*g/(3*d
**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) - 36*b**2*d**3*e**3*g**2*x*log(d/e + x)/(3*d**3*e**7
+ 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) - 54*b**2*d**3*e**3*g**2*x/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*
e**9*x**2 + 3*e**10*x**3) - b**2*d**2*e**4*f**2/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) +
18*b**2*d**2*e**4*f*g*x*log(d/e + x)/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) + 27*b**2*d
**2*e**4*f*g*x/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) - 36*b**2*d**2*e**4*g**2*x**2*log(
d/e + x)/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) - 36*b**2*d**2*e**4*g**2*x**2/(3*d**3*e*
*7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) - 3*b**2*d*e**5*f**2*x/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e
**9*x**2 + 3*e**10*x**3) + 18*b**2*d*e**5*f*g*x**2*log(d/e + x)/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 +
3*e**10*x**3) + 18*b**2*d*e**5*f*g*x**2/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) - 12*b**
2*d*e**5*g**2*x**3*log(d/e + x)/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) - 3*b**2*e**6*f**
2*x**2/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) + 6*b**2*e**6*f*g*x**3*log(d/e + x)/(3*d**
3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) + 3*b**2*e**6*g**2*x**4/(3*d**3*e**7 + 9*d**2*e**8*x +
9*d*e**9*x**2 + 3*e**10*x**3) + 60*b*c*d**5*e*g**2*log(d/e + x)/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 +
3*e**10*x**3) + 110*b*c*d**5*e*g**2/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) - 48*b*c*d**
4*e**2*f*g*log(d/e + x)/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) - 88*b*c*d**4*e**2*f*g/(3
*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) + 180*b*c*d**4*e**2*g**2*x*log(d/e + x)/(3*d**3*e**
7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) + 270*b*c*d**4*e**2*g**2*x/(3*d**3*e**7 + 9*d**2*e**8*x + 9*
d*e**9*x**2 + 3*e**10*x**3) + 6*b*c*d**3*e**3*f**2*log(d/e + x)/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 +
3*e**10*x**3) + 11*b*c*d**3*e**3*f**2/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) - 144*b*c*
d**3*e**3*f*g*x*log(d/e + x)/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) - 216*b*c*d**3*e**3*
f*g*x/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) + 180*b*c*d**3*e**3*g**2*x**2*log(d/e + x)/
(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) + 180*b*c*d**3*e**3*g**2*x**2/(3*d**3*e**7 + 9*d*
*2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) + 18*b*c*d**2*e**4*f**2*x*log(d/e + x)/(3*d**3*e**7 + 9*d**2*e**8*x
+ 9*d*e**9*x**2 + 3*e**10*x**3) + 27*b*c*d**2*e**4*f**2*x/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**
10*x**3) - 144*b*c*d**2*e**4*f*g*x**2*log(d/e + x)/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3
) - 144*b*c*d**2*e**4*f*g*x**2/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) + 60*b*c*d**2*e**4
*g**2*x**3*log(d/e + x)/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) + 18*b*c*d*e**5*f**2*x**2
*log(d/e + x)/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) + 18*b*c*d*e**5*f**2*x**2/(3*d**3*e
**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) - 48*b*c*d*e**5*f*g*x**3*log(d/e + x)/(3*d**3*e**7 + 9*d**
2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) - 15*b*c*d*e**5*g**2*x**4/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**
2 + 3*e**10*x**3) + 6*b*c*e**6*f**2*x**3*log(d/e + x)/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x
**3) + 12*b*c*e**6*f*g*x**4/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) + 3*b*c*e**6*g**2*x**
5/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) - 60*c**2*d**6*g**2*log(d/e + x)/(3*d**3*e**7 +
9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) - 110*c**2*d**6*g**2/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x*
*2 + 3*e**10*x**3) + 60*c**2*d**5*e*f*g*log(d/e + x)/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x*
*3) + 110*c**2*d**5*e*f*g/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) - 180*c**2*d**5*e*g**2*
x*log(d/e + x)/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) - 270*c**2*d**5*e*g**2*x/(3*d**3*e
**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) - 12*c**2*d**4*e**2*f**2*log(d/e + x)/(3*d**3*e**7 + 9*d**
2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) - 22*c**2*d**4*e**2*f**2/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2
+ 3*e**10*x**3) + 180*c**2*d**4*e**2*f*g*x*log(d/e + x)/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**1
0*x**3) + 270*c**2*d**4*e**2*f*g*x/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) - 180*c**2*d**
4*e**2*g**2*x**2*log(d/e + x)/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) - 180*c**2*d**4*e**
2*g**2*x**2/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) - 36*c**2*d**3*e**3*f**2*x*log(d/e +
x)/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) - 54*c**2*d**3*e**3*f**2*x/(3*d**3*e**7 + 9*d*
*2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) + 180*c**2*d**3*e**3*f*g*x**2*log(d/e + x)/(3*d**3*e**7 + 9*d**2*e**
8*x + 9*d*e**9*x**2 + 3*e**10*x**3) + 180*c**2*d**3*e**3*f*g*x**2/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2
+ 3*e**10*x**3) - 60*c**2*d**3*e**3*g**2*x**3*log(d/e + x)/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e
**10*x**3) - 36*c**2*d**2*e**4*f**2*x**2*log(d/e + x)/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x
**3) - 36*c**2*d**2*e**4*f**2*x**2/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) + 60*c**2*d**2
*e**4*f*g*x**3*log(d/e + x)/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) + 15*c**2*d**2*e**4*g
**2*x**4/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) - 12*c**2*d*e**5*f**2*x**3*log(d/e + x)/
(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) - 15*c**2*d*e**5*f*g*x**4/(3*d**3*e**7 + 9*d**2*e
**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) - 3*c**2*d*e**5*g**2*x**5/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 +
3*e**10*x**3) + 3*c**2*e**6*f**2*x**4/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) + 3*c**2*e
**6*f*g*x**5/(3*d**3*e**7 + 9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3) + c**2*e**6*g**2*x**6/(3*d**3*e**7 +
9*d**2*e**8*x + 9*d*e**9*x**2 + 3*e**10*x**3), Eq(m, -4)), (12*a**2*d**2*e**4*g**2*log(d/e + x)/(12*d**2*e**7
+ 24*d*e**8*x + 12*e**9*x**2) + 18*a**2*d**2*e**4*g**2/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) - 12*a**2*
d*e**5*f*g/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) + 24*a**2*d*e**5*g**2*x*log(d/e + x)/(12*d**2*e**7 + 24
*d*e**8*x + 12*e**9*x**2) + 24*a**2*d*e**5*g**2*x/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) - 6*a**2*e**6*f*
*2/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) - 24*a**2*e**6*f*g*x/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2
) + 12*a**2*e**6*g**2*x**2*log(d/e + x)/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) - 72*a*b*d**3*e**3*g**2*lo
g(d/e + x)/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) - 108*a*b*d**3*e**3*g**2/(12*d**2*e**7 + 24*d*e**8*x +
12*e**9*x**2) + 48*a*b*d**2*e**4*f*g*log(d/e + x)/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) + 72*a*b*d**2*e*
*4*f*g/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) - 144*a*b*d**2*e**4*g**2*x*log(d/e + x)/(12*d**2*e**7 + 24*
d*e**8*x + 12*e**9*x**2) - 144*a*b*d**2*e**4*g**2*x/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) - 12*a*b*d*e**
5*f**2/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) + 96*a*b*d*e**5*f*g*x*log(d/e + x)/(12*d**2*e**7 + 24*d*e**
8*x + 12*e**9*x**2) + 96*a*b*d*e**5*f*g*x/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) - 72*a*b*d*e**5*g**2*x**
2*log(d/e + x)/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) - 24*a*b*e**6*f**2*x/(12*d**2*e**7 + 24*d*e**8*x +
12*e**9*x**2) + 48*a*b*e**6*f*g*x**2*log(d/e + x)/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) + 24*a*b*e**6*g*
*2*x**3/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) + 144*a*c*d**4*e**2*g**2*log(d/e + x)/(12*d**2*e**7 + 24*d
*e**8*x + 12*e**9*x**2) + 216*a*c*d**4*e**2*g**2/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) - 144*a*c*d**3*e*
*3*f*g*log(d/e + x)/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) - 216*a*c*d**3*e**3*f*g/(12*d**2*e**7 + 24*d*e
**8*x + 12*e**9*x**2) + 288*a*c*d**3*e**3*g**2*x*log(d/e + x)/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) + 28
8*a*c*d**3*e**3*g**2*x/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) + 24*a*c*d**2*e**4*f**2*log(d/e + x)/(12*d*
*2*e**7 + 24*d*e**8*x + 12*e**9*x**2) + 36*a*c*d**2*e**4*f**2/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) - 28
8*a*c*d**2*e**4*f*g*x*log(d/e + x)/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) - 288*a*c*d**2*e**4*f*g*x/(12*d
**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) + 144*a*c*d**2*e**4*g**2*x**2*log(d/e + x)/(12*d**2*e**7 + 24*d*e**8*x
+ 12*e**9*x**2) + 48*a*c*d*e**5*f**2*x*log(d/e + x)/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) + 48*a*c*d*e**
5*f**2*x/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) - 144*a*c*d*e**5*f*g*x**2*log(d/e + x)/(12*d**2*e**7 + 24
*d*e**8*x + 12*e**9*x**2) - 48*a*c*d*e**5*g**2*x**3/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) + 24*a*c*e**6*
f**2*x**2*log(d/e + x)/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) + 48*a*c*e**6*f*g*x**3/(12*d**2*e**7 + 24*d
*e**8*x + 12*e**9*x**2) + 12*a*c*e**6*g**2*x**4/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) + 72*b**2*d**4*e**
2*g**2*log(d/e + x)/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) + 108*b**2*d**4*e**2*g**2/(12*d**2*e**7 + 24*d
*e**8*x + 12*e**9*x**2) - 72*b**2*d**3*e**3*f*g*log(d/e + x)/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) - 108
*b**2*d**3*e**3*f*g/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) + 144*b**2*d**3*e**3*g**2*x*log(d/e + x)/(12*d
**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) + 144*b**2*d**3*e**3*g**2*x/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2)
+ 12*b**2*d**2*e**4*f**2*log(d/e + x)/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) + 18*b**2*d**2*e**4*f**2/(1
2*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) - 144*b**2*d**2*e**4*f*g*x*log(d/e + x)/(12*d**2*e**7 + 24*d*e**8*x
+ 12*e**9*x**2) - 144*b**2*d**2*e**4*f*g*x/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) + 72*b**2*d**2*e**4*g**
2*x**2*log(d/e + x)/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) + 24*b**2*d*e**5*f**2*x*log(d/e + x)/(12*d**2*
e**7 + 24*d*e**8*x + 12*e**9*x**2) + 24*b**2*d*e**5*f**2*x/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) - 72*b*
*2*d*e**5*f*g*x**2*log(d/e + x)/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) - 24*b**2*d*e**5*g**2*x**3/(12*d**
2*e**7 + 24*d*e**8*x + 12*e**9*x**2) + 12*b**2*e**6*f**2*x**2*log(d/e + x)/(12*d**2*e**7 + 24*d*e**8*x + 12*e*
*9*x**2) + 24*b**2*e**6*f*g*x**3/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) + 6*b**2*e**6*g**2*x**4/(12*d**2*
e**7 + 24*d*e**8*x + 12*e**9*x**2) - 240*b*c*d**5*e*g**2*log(d/e + x)/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x*
*2) - 360*b*c*d**5*e*g**2/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) + 288*b*c*d**4*e**2*f*g*log(d/e + x)/(12
*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) + 432*b*c*d**4*e**2*f*g/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) -
480*b*c*d**4*e**2*g**2*x*log(d/e + x)/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) - 480*b*c*d**4*e**2*g**2*x/
(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) - 72*b*c*d**3*e**3*f**2*log(d/e + x)/(12*d**2*e**7 + 24*d*e**8*x +
12*e**9*x**2) - 108*b*c*d**3*e**3*f**2/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) + 576*b*c*d**3*e**3*f*g*x*
log(d/e + x)/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) + 576*b*c*d**3*e**3*f*g*x/(12*d**2*e**7 + 24*d*e**8*x
+ 12*e**9*x**2) - 240*b*c*d**3*e**3*g**2*x**2*log(d/e + x)/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) - 144*
b*c*d**2*e**4*f**2*x*log(d/e + x)/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) - 144*b*c*d**2*e**4*f**2*x/(12*d
**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) + 288*b*c*d**2*e**4*f*g*x**2*log(d/e + x)/(12*d**2*e**7 + 24*d*e**8*x +
12*e**9*x**2) + 80*b*c*d**2*e**4*g**2*x**3/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) - 72*b*c*d*e**5*f**2*x
**2*log(d/e + x)/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) - 96*b*c*d*e**5*f*g*x**3/(12*d**2*e**7 + 24*d*e**
8*x + 12*e**9*x**2) - 20*b*c*d*e**5*g**2*x**4/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) + 24*b*c*e**6*f**2*x
**3/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) + 24*b*c*e**6*f*g*x**4/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x
**2) + 8*b*c*e**6*g**2*x**5/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) + 180*c**2*d**6*g**2*log(d/e + x)/(12*
d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) + 270*c**2*d**6*g**2/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) - 240
*c**2*d**5*e*f*g*log(d/e + x)/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) - 360*c**2*d**5*e*f*g/(12*d**2*e**7
+ 24*d*e**8*x + 12*e**9*x**2) + 360*c**2*d**5*e*g**2*x*log(d/e + x)/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2
) + 360*c**2*d**5*e*g**2*x/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) + 72*c**2*d**4*e**2*f**2*log(d/e + x)/(
12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) + 108*c**2*d**4*e**2*f**2/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**
2) - 480*c**2*d**4*e**2*f*g*x*log(d/e + x)/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) - 480*c**2*d**4*e**2*f*
g*x/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) + 180*c**2*d**4*e**2*g**2*x**2*log(d/e + x)/(12*d**2*e**7 + 24
*d*e**8*x + 12*e**9*x**2) + 144*c**2*d**3*e**3*f**2*x*log(d/e + x)/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2)
+ 144*c**2*d**3*e**3*f**2*x/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) - 240*c**2*d**3*e**3*f*g*x**2*log(d/e
+ x)/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) - 60*c**2*d**3*e**3*g**2*x**3/(12*d**2*e**7 + 24*d*e**8*x +
12*e**9*x**2) + 72*c**2*d**2*e**4*f**2*x**2*log(d/e + x)/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) + 80*c**2
*d**2*e**4*f*g*x**3/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) + 15*c**2*d**2*e**4*g**2*x**4/(12*d**2*e**7 +
24*d*e**8*x + 12*e**9*x**2) - 24*c**2*d*e**5*f**2*x**3/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) - 20*c**2*d
*e**5*f*g*x**4/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) - 6*c**2*d*e**5*g**2*x**5/(12*d**2*e**7 + 24*d*e**8
*x + 12*e**9*x**2) + 6*c**2*e**6*f**2*x**4/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) + 8*c**2*e**6*f*g*x**5/
(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2) + 3*c**2*e**6*g**2*x**6/(12*d**2*e**7 + 24*d*e**8*x + 12*e**9*x**2
), Eq(m, -3)), (-60*a**2*d**2*e**4*g**2*log(d/e + x)/(30*d*e**7 + 30*e**8*x) - 60*a**2*d**2*e**4*g**2/(30*d*e*
*7 + 30*e**8*x) + 60*a**2*d*e**5*f*g*log(d/e + x)/(30*d*e**7 + 30*e**8*x) + 60*a**2*d*e**5*f*g/(30*d*e**7 + 30
*e**8*x) - 60*a**2*d*e**5*g**2*x*log(d/e + x)/(30*d*e**7 + 30*e**8*x) - 30*a**2*e**6*f**2/(30*d*e**7 + 30*e**8
*x) + 60*a**2*e**6*f*g*x*log(d/e + x)/(30*d*e**7 + 30*e**8*x) + 30*a**2*e**6*g**2*x**2/(30*d*e**7 + 30*e**8*x)
+ 180*a*b*d**3*e**3*g**2*log(d/e + x)/(30*d*e**7 + 30*e**8*x) + 180*a*b*d**3*e**3*g**2/(30*d*e**7 + 30*e**8*x
) - 240*a*b*d**2*e**4*f*g*log(d/e + x)/(30*d*e**7 + 30*e**8*x) - 240*a*b*d**2*e**4*f*g/(30*d*e**7 + 30*e**8*x)
+ 180*a*b*d**2*e**4*g**2*x*log(d/e + x)/(30*d*e**7 + 30*e**8*x) + 60*a*b*d*e**5*f**2*log(d/e + x)/(30*d*e**7
+ 30*e**8*x) + 60*a*b*d*e**5*f**2/(30*d*e**7 + 30*e**8*x) - 240*a*b*d*e**5*f*g*x*log(d/e + x)/(30*d*e**7 + 30*
e**8*x) - 90*a*b*d*e**5*g**2*x**2/(30*d*e**7 + 30*e**8*x) + 60*a*b*e**6*f**2*x*log(d/e + x)/(30*d*e**7 + 30*e*
*8*x) + 120*a*b*e**6*f*g*x**2/(30*d*e**7 + 30*e**8*x) + 30*a*b*e**6*g**2*x**3/(30*d*e**7 + 30*e**8*x) - 240*a*
c*d**4*e**2*g**2*log(d/e + x)/(30*d*e**7 + 30*e**8*x) - 240*a*c*d**4*e**2*g**2/(30*d*e**7 + 30*e**8*x) + 360*a
*c*d**3*e**3*f*g*log(d/e + x)/(30*d*e**7 + 30*e**8*x) + 360*a*c*d**3*e**3*f*g/(30*d*e**7 + 30*e**8*x) - 240*a*
c*d**3*e**3*g**2*x*log(d/e + x)/(30*d*e**7 + 30*e**8*x) - 120*a*c*d**2*e**4*f**2*log(d/e + x)/(30*d*e**7 + 30*
e**8*x) - 120*a*c*d**2*e**4*f**2/(30*d*e**7 + 30*e**8*x) + 360*a*c*d**2*e**4*f*g*x*log(d/e + x)/(30*d*e**7 + 3
0*e**8*x) + 120*a*c*d**2*e**4*g**2*x**2/(30*d*e**7 + 30*e**8*x) - 120*a*c*d*e**5*f**2*x*log(d/e + x)/(30*d*e**
7 + 30*e**8*x) - 180*a*c*d*e**5*f*g*x**2/(30*d*e**7 + 30*e**8*x) - 40*a*c*d*e**5*g**2*x**3/(30*d*e**7 + 30*e**
8*x) + 60*a*c*e**6*f**2*x**2/(30*d*e**7 + 30*e**8*x) + 60*a*c*e**6*f*g*x**3/(30*d*e**7 + 30*e**8*x) + 20*a*c*e
**6*g**2*x**4/(30*d*e**7 + 30*e**8*x) - 120*b**2*d**4*e**2*g**2*log(d/e + x)/(30*d*e**7 + 30*e**8*x) - 120*b**
2*d**4*e**2*g**2/(30*d*e**7 + 30*e**8*x) + 180*b**2*d**3*e**3*f*g*log(d/e + x)/(30*d*e**7 + 30*e**8*x) + 180*b
**2*d**3*e**3*f*g/(30*d*e**7 + 30*e**8*x) - 120*b**2*d**3*e**3*g**2*x*log(d/e + x)/(30*d*e**7 + 30*e**8*x) - 6
0*b**2*d**2*e**4*f**2*log(d/e + x)/(30*d*e**7 + 30*e**8*x) - 60*b**2*d**2*e**4*f**2/(30*d*e**7 + 30*e**8*x) +
180*b**2*d**2*e**4*f*g*x*log(d/e + x)/(30*d*e**7 + 30*e**8*x) + 60*b**2*d**2*e**4*g**2*x**2/(30*d*e**7 + 30*e*
*8*x) - 60*b**2*d*e**5*f**2*x*log(d/e + x)/(30*d*e**7 + 30*e**8*x) - 90*b**2*d*e**5*f*g*x**2/(30*d*e**7 + 30*e
**8*x) - 20*b**2*d*e**5*g**2*x**3/(30*d*e**7 + 30*e**8*x) + 30*b**2*e**6*f**2*x**2/(30*d*e**7 + 30*e**8*x) + 3
0*b**2*e**6*f*g*x**3/(30*d*e**7 + 30*e**8*x) + 10*b**2*e**6*g**2*x**4/(30*d*e**7 + 30*e**8*x) + 300*b*c*d**5*e
*g**2*log(d/e + x)/(30*d*e**7 + 30*e**8*x) + 300*b*c*d**5*e*g**2/(30*d*e**7 + 30*e**8*x) - 480*b*c*d**4*e**2*f
*g*log(d/e + x)/(30*d*e**7 + 30*e**8*x) - 480*b*c*d**4*e**2*f*g/(30*d*e**7 + 30*e**8*x) + 300*b*c*d**4*e**2*g*
*2*x*log(d/e + x)/(30*d*e**7 + 30*e**8*x) + 180*b*c*d**3*e**3*f**2*log(d/e + x)/(30*d*e**7 + 30*e**8*x) + 180*
b*c*d**3*e**3*f**2/(30*d*e**7 + 30*e**8*x) - 480*b*c*d**3*e**3*f*g*x*log(d/e + x)/(30*d*e**7 + 30*e**8*x) - 15
0*b*c*d**3*e**3*g**2*x**2/(30*d*e**7 + 30*e**8*x) + 180*b*c*d**2*e**4*f**2*x*log(d/e + x)/(30*d*e**7 + 30*e**8
*x) + 240*b*c*d**2*e**4*f*g*x**2/(30*d*e**7 + 30*e**8*x) + 50*b*c*d**2*e**4*g**2*x**3/(30*d*e**7 + 30*e**8*x)
- 90*b*c*d*e**5*f**2*x**2/(30*d*e**7 + 30*e**8*x) - 80*b*c*d*e**5*f*g*x**3/(30*d*e**7 + 30*e**8*x) - 25*b*c*d*
e**5*g**2*x**4/(30*d*e**7 + 30*e**8*x) + 30*b*c*e**6*f**2*x**3/(30*d*e**7 + 30*e**8*x) + 40*b*c*e**6*f*g*x**4/
(30*d*e**7 + 30*e**8*x) + 15*b*c*e**6*g**2*x**5/(30*d*e**7 + 30*e**8*x) - 180*c**2*d**6*g**2*log(d/e + x)/(30*
d*e**7 + 30*e**8*x) - 180*c**2*d**6*g**2/(30*d*e**7 + 30*e**8*x) + 300*c**2*d**5*e*f*g*log(d/e + x)/(30*d*e**7
+ 30*e**8*x) + 300*c**2*d**5*e*f*g/(30*d*e**7 + 30*e**8*x) - 180*c**2*d**5*e*g**2*x*log(d/e + x)/(30*d*e**7 +
30*e**8*x) - 120*c**2*d**4*e**2*f**2*log(d/e + x)/(30*d*e**7 + 30*e**8*x) - 120*c**2*d**4*e**2*f**2/(30*d*e**
7 + 30*e**8*x) + 300*c**2*d**4*e**2*f*g*x*log(d/e + x)/(30*d*e**7 + 30*e**8*x) + 90*c**2*d**4*e**2*g**2*x**2/(
30*d*e**7 + 30*e**8*x) - 120*c**2*d**3*e**3*f**2*x*log(d/e + x)/(30*d*e**7 + 30*e**8*x) - 150*c**2*d**3*e**3*f
*g*x**2/(30*d*e**7 + 30*e**8*x) - 30*c**2*d**3*e**3*g**2*x**3/(30*d*e**7 + 30*e**8*x) + 60*c**2*d**2*e**4*f**2
*x**2/(30*d*e**7 + 30*e**8*x) + 50*c**2*d**2*e**4*f*g*x**3/(30*d*e**7 + 30*e**8*x) + 15*c**2*d**2*e**4*g**2*x*
*4/(30*d*e**7 + 30*e**8*x) - 20*c**2*d*e**5*f**2*x**3/(30*d*e**7 + 30*e**8*x) - 25*c**2*d*e**5*f*g*x**4/(30*d*
e**7 + 30*e**8*x) - 9*c**2*d*e**5*g**2*x**5/(30*d*e**7 + 30*e**8*x) + 10*c**2*e**6*f**2*x**4/(30*d*e**7 + 30*e
**8*x) + 15*c**2*e**6*f*g*x**5/(30*d*e**7 + 30*e**8*x) + 6*c**2*e**6*g**2*x**6/(30*d*e**7 + 30*e**8*x), Eq(m,
-2)), (a**2*d**2*g**2*log(d/e + x)/e**3 - 2*a**2*d*f*g*log(d/e + x)/e**2 - a**2*d*g**2*x/e**2 + a**2*f**2*log(
d/e + x)/e + 2*a**2*f*g*x/e + a**2*g**2*x**2/(2*e) - 2*a*b*d**3*g**2*log(d/e + x)/e**4 + 4*a*b*d**2*f*g*log(d/
e + x)/e**3 + 2*a*b*d**2*g**2*x/e**3 - 2*a*b*d*f**2*log(d/e + x)/e**2 - 4*a*b*d*f*g*x/e**2 - a*b*d*g**2*x**2/e
**2 + 2*a*b*f**2*x/e + 2*a*b*f*g*x**2/e + 2*a*b*g**2*x**3/(3*e) + 2*a*c*d**4*g**2*log(d/e + x)/e**5 - 4*a*c*d*
*3*f*g*log(d/e + x)/e**4 - 2*a*c*d**3*g**2*x/e**4 + 2*a*c*d**2*f**2*log(d/e + x)/e**3 + 4*a*c*d**2*f*g*x/e**3
+ a*c*d**2*g**2*x**2/e**3 - 2*a*c*d*f**2*x/e**2 - 2*a*c*d*f*g*x**2/e**2 - 2*a*c*d*g**2*x**3/(3*e**2) + a*c*f**
2*x**2/e + 4*a*c*f*g*x**3/(3*e) + a*c*g**2*x**4/(2*e) + b**2*d**4*g**2*log(d/e + x)/e**5 - 2*b**2*d**3*f*g*log
(d/e + x)/e**4 - b**2*d**3*g**2*x/e**4 + b**2*d**2*f**2*log(d/e + x)/e**3 + 2*b**2*d**2*f*g*x/e**3 + b**2*d**2
*g**2*x**2/(2*e**3) - b**2*d*f**2*x/e**2 - b**2*d*f*g*x**2/e**2 - b**2*d*g**2*x**3/(3*e**2) + b**2*f**2*x**2/(
2*e) + 2*b**2*f*g*x**3/(3*e) + b**2*g**2*x**4/(4*e) - 2*b*c*d**5*g**2*log(d/e + x)/e**6 + 4*b*c*d**4*f*g*log(d
/e + x)/e**5 + 2*b*c*d**4*g**2*x/e**5 - 2*b*c*d**3*f**2*log(d/e + x)/e**4 - 4*b*c*d**3*f*g*x/e**4 - b*c*d**3*g
**2*x**2/e**4 + 2*b*c*d**2*f**2*x/e**3 + 2*b*c*d**2*f*g*x**2/e**3 + 2*b*c*d**2*g**2*x**3/(3*e**3) - b*c*d*f**2
*x**2/e**2 - 4*b*c*d*f*g*x**3/(3*e**2) - b*c*d*g**2*x**4/(2*e**2) + 2*b*c*f**2*x**3/(3*e) + b*c*f*g*x**4/e + 2
*b*c*g**2*x**5/(5*e) + c**2*d**6*g**2*log(d/e + x)/e**7 - 2*c**2*d**5*f*g*log(d/e + x)/e**6 - c**2*d**5*g**2*x
/e**6 + c**2*d**4*f**2*log(d/e + x)/e**5 + 2*c**2*d**4*f*g*x/e**5 + c**2*d**4*g**2*x**2/(2*e**5) - c**2*d**3*f
**2*x/e**4 - c**2*d**3*f*g*x**2/e**4 - c**2*d**3*g**2*x**3/(3*e**4) + c**2*d**2*f**2*x**2/(2*e**3) + 2*c**2*d*
*2*f*g*x**3/(3*e**3) + c**2*d**2*g**2*x**4/(4*e**3) - c**2*d*f**2*x**3/(3*e**2) - c**2*d*f*g*x**4/(2*e**2) - c
**2*d*g**2*x**5/(5*e**2) + c**2*f**2*x**4/(4*e) + 2*c**2*f*g*x**5/(5*e) + c**2*g**2*x**6/(6*e), Eq(m, -1)), (2
*a**2*d**3*e**4*g**2*m**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*
m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 44*a**2*d**3*e**4*g**2*m**3*(d + e*x)**m/(e**7*m**7 + 28*
e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 35
8*a**2*d**3*e**4*g**2*m**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7
*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 1276*a**2*d**3*e**4*g**2*m*(d + e*x)**m/(e**7*m**7 + 28*
e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 16
80*a**2*d**3*e**4*g**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**
3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 2*a**2*d**2*e**5*f*g*m**5*(d + e*x)**m/(e**7*m**7 + 28*e**7*
m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 50*a**2
*d**2*e**5*f*g*m**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 +
13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 490*a**2*d**2*e**5*f*g*m**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m
**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 2350*a**
2*d**2*e**5*f*g*m**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3
+ 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 5508*a**2*d**2*e**5*f*g*m*(d + e*x)**m/(e**7*m**7 + 28*e**7*m*
*6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 5040*a**2
*d**2*e**5*f*g*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 1313
2*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 2*a**2*d**2*e**5*g**2*m**5*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6
+ 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 44*a**2*d**2
*e**5*g**2*m**4*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 1
3132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 358*a**2*d**2*e**5*g**2*m**3*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*
m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 1276*a*
*2*d**2*e**5*g**2*m**2*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m
**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 1680*a**2*d**2*e**5*g**2*m*x*(d + e*x)**m/(e**7*m**7 + 28*
e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + a*
*2*d*e**6*f**2*m**6*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 +
13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 27*a**2*d*e**6*f**2*m**5*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6
+ 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 295*a**2*d*
e**6*f**2*m**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 1313
2*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 1665*a**2*d*e**6*f**2*m**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 +
322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 5104*a**2*d*e*
*6*f**2*m**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*
e**7*m**2 + 13068*e**7*m + 5040*e**7) + 8028*a**2*d*e**6*f**2*m*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e
**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 5040*a**2*d*e**6*f*
*2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2
+ 13068*e**7*m + 5040*e**7) + 2*a**2*d*e**6*f*g*m**6*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5
+ 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 50*a**2*d*e**6*f*g*m**5*x*(d
+ e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 130
68*e**7*m + 5040*e**7) + 490*a**2*d*e**6*f*g*m**4*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1
960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 2350*a**2*d*e**6*f*g*m**3*x*(d
+ e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 1306
8*e**7*m + 5040*e**7) + 5508*a**2*d*e**6*f*g*m**2*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1
960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 5040*a**2*d*e**6*f*g*m*x*(d + e
*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e
**7*m + 5040*e**7) + a**2*d*e**6*g**2*m**6*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*
e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 23*a**2*d*e**6*g**2*m**5*x**2*(d +
e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*
e**7*m + 5040*e**7) + 201*a**2*d*e**6*g**2*m**4*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 +
1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 817*a**2*d*e**6*g**2*m**3*x**2
*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 +
13068*e**7*m + 5040*e**7) + 1478*a**2*d*e**6*g**2*m**2*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*
m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 840*a**2*d*e**6*g**2*m*
x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**
2 + 13068*e**7*m + 5040*e**7) + a**2*e**7*f**2*m**6*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 +
1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 27*a**2*e**7*f**2*m**5*x*(d +
e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068
*e**7*m + 5040*e**7) + 295*a**2*e**7*f**2*m**4*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960
*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 1665*a**2*e**7*f**2*m**3*x*(d + e*
x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e*
*7*m + 5040*e**7) + 5104*a**2*e**7*f**2*m**2*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e
**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 8028*a**2*e**7*f**2*m*x*(d + e*x)**m
/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m
+ 5040*e**7) + 5040*a**2*e**7*f**2*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 +
6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 2*a**2*e**7*f*g*m**6*x**2*(d + e*x)**m/(e**7*m
**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e
**7) + 52*a**2*e**7*f*g*m**5*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 67
69*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 540*a**2*e**7*f*g*m**4*x**2*(d + e*x)**m/(e**7*m*
*7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e*
*7) + 2840*a**2*e**7*f*g*m**3*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6
769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 7858*a**2*e**7*f*g*m**2*x**2*(d + e*x)**m/(e**7*
m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*
e**7) + 10548*a**2*e**7*f*g*m*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6
769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 5040*a**2*e**7*f*g*x**2*(d + e*x)**m/(e**7*m**7
+ 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7)
+ a**2*e**7*g**2*m**6*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**
7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 25*a**2*e**7*g**2*m**5*x**3*(d + e*x)**m/(e**7*m**7 + 2
8*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) +
247*a**2*e**7*g**2*m**4*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e*
*7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 1219*a**2*e**7*g**2*m**3*x**3*(d + e*x)**m/(e**7*m**7
+ 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7)
+ 3112*a**2*e**7*g**2*m**2*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 676
9*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 3796*a**2*e**7*g**2*m*x**3*(d + e*x)**m/(e**7*m**7
+ 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7
) + 1680*a**2*e**7*g**2*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e*
*7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 12*a*b*d**4*e**3*g**2*m**3*(d + e*x)**m/(e**7*m**7 + 2
8*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) -
216*a*b*d**4*e**3*g**2*m**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**
7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 1284*a*b*d**4*e**3*g**2*m*(d + e*x)**m/(e**7*m**7 + 28*
e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 25
20*a*b*d**4*e**3*g**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3
+ 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 8*a*b*d**3*e**4*f*g*m**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m*
*6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 176*a*b*d
**3*e**4*f*g*m**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 1
3132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 1432*a*b*d**3*e**4*f*g*m**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**
6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 5104*a*b*d
**3*e**4*f*g*m*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 1313
2*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 6720*a*b*d**3*e**4*f*g*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*
e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 12*a*b*d**3*e**4*g
**2*m**4*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e*
*7*m**2 + 13068*e**7*m + 5040*e**7) + 216*a*b*d**3*e**4*g**2*m**3*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 3
22*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 1284*a*b*d**3*e
**4*g**2*m**2*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 131
32*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 2520*a*b*d**3*e**4*g**2*m*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6
+ 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 2*a*b*d**2*e
**5*f**2*m**5*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132
*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 50*a*b*d**2*e**5*f**2*m**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 3
22*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 490*a*b*d**2*e*
*5*f**2*m**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*
e**7*m**2 + 13068*e**7*m + 5040*e**7) - 2350*a*b*d**2*e**5*f**2*m**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 +
322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 5508*a*b*d**2*
e**5*f**2*m*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e
**7*m**2 + 13068*e**7*m + 5040*e**7) - 5040*a*b*d**2*e**5*f**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e*
*7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 8*a*b*d**2*e**5*f*g*
m**5*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m
**2 + 13068*e**7*m + 5040*e**7) - 176*a*b*d**2*e**5*f*g*m**4*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e*
*7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 1432*a*b*d**2*e**5*f
*g*m**3*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**
7*m**2 + 13068*e**7*m + 5040*e**7) - 5104*a*b*d**2*e**5*f*g*m**2*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 32
2*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 6720*a*b*d**2*e*
*5*f*g*m*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e*
*7*m**2 + 13068*e**7*m + 5040*e**7) - 6*a*b*d**2*e**5*g**2*m**5*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 +
322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 114*a*b*d**2*e
**5*g**2*m**4*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 +
13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 750*a*b*d**2*e**5*g**2*m**3*x**2*(d + e*x)**m/(e**7*m**7 + 28*e*
*7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 1902
*a*b*d**2*e**5*g**2*m**2*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e
**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 1260*a*b*d**2*e**5*g**2*m*x**2*(d + e*x)**m/(e**7*m**
7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**
7) + 2*a*b*d*e**6*f**2*m**6*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e
**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 50*a*b*d*e**6*f**2*m**5*x*(d + e*x)**m/(e**7*m**7 + 2
8*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) +
490*a*b*d*e**6*f**2*m**4*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7
*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 2350*a*b*d*e**6*f**2*m**3*x*(d + e*x)**m/(e**7*m**7 + 28
*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 5
508*a*b*d*e**6*f**2*m**2*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7
*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 5040*a*b*d*e**6*f**2*m*x*(d + e*x)**m/(e**7*m**7 + 28*e*
*7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 4*a*
b*d*e**6*f*g*m**6*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**
3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 92*a*b*d*e**6*f*g*m**5*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**
7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 804*a
*b*d*e**6*f*g*m**4*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m*
*3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 3268*a*b*d*e**6*f*g*m**3*x**2*(d + e*x)**m/(e**7*m**7 + 28*
e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 59
12*a*b*d*e**6*f*g*m**2*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**
7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 3360*a*b*d*e**6*f*g*m*x**2*(d + e*x)**m/(e**7*m**7 + 28
*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 2
*a*b*d*e**6*g**2*m**6*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7
*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 42*a*b*d*e**6*g**2*m**5*x**3*(d + e*x)**m/(e**7*m**7 + 2
8*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) +
326*a*b*d*e**6*g**2*m**4*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e
**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 1134*a*b*d*e**6*g**2*m**3*x**3*(d + e*x)**m/(e**7*m**
7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**
7) + 1688*a*b*d*e**6*g**2*m**2*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 +
6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 840*a*b*d*e**6*g**2*m*x**3*(d + e*x)**m/(e**7*m
**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e
**7) + 2*a*b*e**7*f**2*m**6*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 676
9*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 52*a*b*e**7*f**2*m**5*x**2*(d + e*x)**m/(e**7*m**7
+ 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7
) + 540*a*b*e**7*f**2*m**4*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769
*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 2840*a*b*e**7*f**2*m**3*x**2*(d + e*x)**m/(e**7*m**
7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**
7) + 7858*a*b*e**7*f**2*m**2*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 67
69*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 10548*a*b*e**7*f**2*m*x**2*(d + e*x)**m/(e**7*m**
7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**
7) + 5040*a*b*e**7*f**2*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e*
*7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 4*a*b*e**7*f*g*m**6*x**3*(d + e*x)**m/(e**7*m**7 + 28*
e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 10
0*a*b*e**7*f*g*m**5*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m
**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 988*a*b*e**7*f*g*m**4*x**3*(d + e*x)**m/(e**7*m**7 + 28*e*
*7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 4876
*a*b*e**7*f*g*m**3*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m*
*3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 12448*a*b*e**7*f*g*m**2*x**3*(d + e*x)**m/(e**7*m**7 + 28*e
**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 151
84*a*b*e**7*f*g*m*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**
3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 6720*a*b*e**7*f*g*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**
6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 2*a*b*e**7
*g**2*m**6*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 131
32*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 48*a*b*e**7*g**2*m**5*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 +
322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 452*a*b*e**7*
g**2*m**4*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 1313
2*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 2112*a*b*e**7*g**2*m**3*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6
+ 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 5090*a*b*e**
7*g**2*m**2*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13
132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 5904*a*b*e**7*g**2*m*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 +
322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 2520*a*b*e**7
*g**2*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e*
*7*m**2 + 13068*e**7*m + 5040*e**7) + 48*a*c*d**5*e**2*g**2*m**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*
e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 624*a*c*d**5*e**2*
g**2*m*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m
**2 + 13068*e**7*m + 5040*e**7) + 2016*a*c*d**5*e**2*g**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m*
*5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 24*a*c*d**4*e**3*f*g*m**3
*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 +
13068*e**7*m + 5040*e**7) - 432*a*c*d**4*e**3*f*g*m**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5
+ 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 2568*a*c*d**4*e**3*f*g*m*(d
+ e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 1306
8*e**7*m + 5040*e**7) - 5040*a*c*d**4*e**3*f*g*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e
**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 48*a*c*d**4*e**3*g**2*m**3*x*(d + e*
x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e*
*7*m + 5040*e**7) - 624*a*c*d**4*e**3*g**2*m**2*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 196
0*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 2016*a*c*d**4*e**3*g**2*m*x*(d +
e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*
e**7*m + 5040*e**7) + 4*a*c*d**3*e**4*f**2*m**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*
e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 88*a*c*d**3*e**4*f**2*m**3*(d + e*x
)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**
7*m + 5040*e**7) + 716*a*c*d**3*e**4*f**2*m**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e
**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 2552*a*c*d**3*e**4*f**2*m*(d + e*x)*
*m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*
m + 5040*e**7) + 3360*a*c*d**3*e**4*f**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m*
*4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 24*a*c*d**3*e**4*f*g*m**4*x*(d + e*x)**m/(
e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m +
5040*e**7) + 432*a*c*d**3*e**4*f*g*m**3*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m
**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 2568*a*c*d**3*e**4*f*g*m**2*x*(d + e*x)**
m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m
+ 5040*e**7) + 5040*a*c*d**3*e**4*f*g*m*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*
m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 24*a*c*d**3*e**4*g**2*m**4*x**2*(d + e*x
)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**
7*m + 5040*e**7) + 336*a*c*d**3*e**4*g**2*m**3*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1
960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 1320*a*c*d**3*e**4*g**2*m**2*x*
*2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2
+ 13068*e**7*m + 5040*e**7) + 1008*a*c*d**3*e**4*g**2*m*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7
*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 4*a*c*d**2*e**5*f**2*m
**5*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m*
*2 + 13068*e**7*m + 5040*e**7) - 88*a*c*d**2*e**5*f**2*m**4*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**
7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 716*a*c*d**2*e**5*f**
2*m**3*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7
*m**2 + 13068*e**7*m + 5040*e**7) - 2552*a*c*d**2*e**5*f**2*m**2*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 32
2*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 3360*a*c*d**2*e*
*5*f**2*m*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e
**7*m**2 + 13068*e**7*m + 5040*e**7) - 12*a*c*d**2*e**5*f*g*m**5*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 +
322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 228*a*c*d**2*
e**5*f*g*m**4*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 +
13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 1500*a*c*d**2*e**5*f*g*m**3*x**2*(d + e*x)**m/(e**7*m**7 + 28*e*
*7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 3804
*a*c*d**2*e**5*f*g*m**2*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e*
*7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 2520*a*c*d**2*e**5*f*g*m*x**2*(d + e*x)**m/(e**7*m**7
+ 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7)
- 8*a*c*d**2*e**5*g**2*m**5*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 67
69*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 128*a*c*d**2*e**5*g**2*m**4*x**3*(d + e*x)**m/(e*
*7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 50
40*e**7) - 664*a*c*d**2*e**5*g**2*m**3*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7
*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 1216*a*c*d**2*e**5*g**2*m**2*x**3*(d +
e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*
e**7*m + 5040*e**7) - 672*a*c*d**2*e**5*g**2*m*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1
960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 2*a*c*d*e**6*f**2*m**6*x**2*(d
+ e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 1306
8*e**7*m + 5040*e**7) + 46*a*c*d*e**6*f**2*m**5*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 +
1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 402*a*c*d*e**6*f**2*m**4*x**2*
(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 1
3068*e**7*m + 5040*e**7) + 1634*a*c*d*e**6*f**2*m**3*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m*
*5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 2956*a*c*d*e**6*f**2*m**2
*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m*
*2 + 13068*e**7*m + 5040*e**7) + 1680*a*c*d*e**6*f**2*m*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7
*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 4*a*c*d*e**6*f*g*m**6*
x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**
2 + 13068*e**7*m + 5040*e**7) + 84*a*c*d*e**6*f*g*m**5*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*
m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 652*a*c*d*e**6*f*g*m**4
*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m*
*2 + 13068*e**7*m + 5040*e**7) + 2268*a*c*d*e**6*f*g*m**3*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e*
*7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 3376*a*c*d*e**6*f*g*
m**2*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**
7*m**2 + 13068*e**7*m + 5040*e**7) + 1680*a*c*d*e**6*f*g*m*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e
**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 2*a*c*d*e**6*g**2*m
**6*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7
*m**2 + 13068*e**7*m + 5040*e**7) + 38*a*c*d*e**6*g**2*m**5*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*
e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 262*a*c*d*e**6*g**
2*m**4*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e
**7*m**2 + 13068*e**7*m + 5040*e**7) + 802*a*c*d*e**6*g**2*m**3*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 +
322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 1080*a*c*d*e**
6*g**2*m**2*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13
132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 504*a*c*d*e**6*g**2*m*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6
+ 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 2*a*c*e**7*f
**2*m**6*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132
*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 50*a*c*e**7*f**2*m**5*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 3
22*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 494*a*c*e**7*f*
*2*m**4*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*
e**7*m**2 + 13068*e**7*m + 5040*e**7) + 2438*a*c*e**7*f**2*m**3*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 +
322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 6224*a*c*e**7*
f**2*m**2*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 1313
2*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 7592*a*c*e**7*f**2*m*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 3
22*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 3360*a*c*e**7*f
**2*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7
*m**2 + 13068*e**7*m + 5040*e**7) + 4*a*c*e**7*f*g*m**6*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7
*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 96*a*c*e**7*f*g*m**5*x
**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2
+ 13068*e**7*m + 5040*e**7) + 904*a*c*e**7*f*g*m**4*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m*
*5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 4224*a*c*e**7*f*g*m**3*x*
*4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2
+ 13068*e**7*m + 5040*e**7) + 10180*a*c*e**7*f*g*m**2*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m
**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 11808*a*c*e**7*f*g*m*x**
4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 +
13068*e**7*m + 5040*e**7) + 5040*a*c*e**7*f*g*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1
960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 2*a*c*e**7*g**2*m**6*x**5*(d +
e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*
e**7*m + 5040*e**7) + 46*a*c*e**7*g**2*m**5*x**5*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960
*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 414*a*c*e**7*g**2*m**4*x**5*(d + e
*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e
**7*m + 5040*e**7) + 1850*a*c*e**7*g**2*m**3*x**5*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 196
0*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 4288*a*c*e**7*g**2*m**2*x**5*(d +
e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068
*e**7*m + 5040*e**7) + 4824*a*c*e**7*g**2*m*x**5*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960
*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 2016*a*c*e**7*g**2*x**5*(d + e*x)*
*m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*
m + 5040*e**7) + 24*b**2*d**5*e**2*g**2*m**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**
7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 312*b**2*d**5*e**2*g**2*m*(d + e*x)**m
/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m
+ 5040*e**7) + 1008*b**2*d**5*e**2*g**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**
4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 12*b**2*d**4*e**3*f*g*m**3*(d + e*x)**m/(e*
*7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 50
40*e**7) - 216*b**2*d**4*e**3*f*g*m**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4
+ 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 1284*b**2*d**4*e**3*f*g*m*(d + e*x)**m/(e**7
*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040
*e**7) - 2520*b**2*d**4*e**3*f*g*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 676
9*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 24*b**2*d**4*e**3*g**2*m**3*x*(d + e*x)**m/(e**7*m
**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e
**7) - 312*b**2*d**4*e**3*g**2*m**2*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4
+ 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 1008*b**2*d**4*e**3*g**2*m*x*(d + e*x)**m/(e*
*7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 50
40*e**7) + 2*b**2*d**3*e**4*f**2*m**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4
+ 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 44*b**2*d**3*e**4*f**2*m**3*(d + e*x)**m/(e**
7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 504
0*e**7) + 358*b**2*d**3*e**4*f**2*m**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4
+ 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 1276*b**2*d**3*e**4*f**2*m*(d + e*x)**m/(e**
7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 504
0*e**7) + 1680*b**2*d**3*e**4*f**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6
769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 12*b**2*d**3*e**4*f*g*m**4*x*(d + e*x)**m/(e**7*
m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*
e**7) + 216*b**2*d**3*e**4*f*g*m**3*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4
+ 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 1284*b**2*d**3*e**4*f*g*m**2*x*(d + e*x)**m/(
e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m +
5040*e**7) + 2520*b**2*d**3*e**4*f*g*m*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m*
*4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 12*b**2*d**3*e**4*g**2*m**4*x**2*(d + e*x)
**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7
*m + 5040*e**7) + 168*b**2*d**3*e**4*g**2*m**3*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1
960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 660*b**2*d**3*e**4*g**2*m**2*x*
*2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2
+ 13068*e**7*m + 5040*e**7) + 504*b**2*d**3*e**4*g**2*m*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7
*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 2*b**2*d**2*e**5*f**2*
m**5*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m
**2 + 13068*e**7*m + 5040*e**7) - 44*b**2*d**2*e**5*f**2*m**4*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e
**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 358*b**2*d**2*e**5*
f**2*m**3*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e
**7*m**2 + 13068*e**7*m + 5040*e**7) - 1276*b**2*d**2*e**5*f**2*m**2*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6
+ 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 1680*b**2*d*
*2*e**5*f**2*m*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13
132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 6*b**2*d**2*e**5*f*g*m**5*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m
**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 114*b**2
*d**2*e**5*f*g*m**4*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m
**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 750*b**2*d**2*e**5*f*g*m**3*x**2*(d + e*x)**m/(e**7*m**7 +
28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7)
- 1902*b**2*d**2*e**5*f*g*m**2*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 +
6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 1260*b**2*d**2*e**5*f*g*m*x**2*(d + e*x)**m/(e*
*7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 50
40*e**7) - 4*b**2*d**2*e**5*g**2*m**5*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*
m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 64*b**2*d**2*e**5*g**2*m**4*x**3*(d + e*
x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e*
*7*m + 5040*e**7) - 332*b**2*d**2*e**5*g**2*m**3*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 +
1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 608*b**2*d**2*e**5*g**2*m**2*
x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**
2 + 13068*e**7*m + 5040*e**7) - 336*b**2*d**2*e**5*g**2*m*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e*
*7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + b**2*d*e**6*f**2*m**
6*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m
**2 + 13068*e**7*m + 5040*e**7) + 23*b**2*d*e**6*f**2*m**5*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e
**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 201*b**2*d*e**6*f**
2*m**4*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e
**7*m**2 + 13068*e**7*m + 5040*e**7) + 817*b**2*d*e**6*f**2*m**3*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 +
322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 1478*b**2*d*e
**6*f**2*m**2*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 +
13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 840*b**2*d*e**6*f**2*m*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m*
*6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 2*b**2*d*
e**6*f*g*m**6*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 +
13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 42*b**2*d*e**6*f*g*m**5*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m
**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 326*b**2
*d*e**6*f*g*m**4*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3
+ 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 1134*b**2*d*e**6*f*g*m**3*x**3*(d + e*x)**m/(e**7*m**7 + 28*e
**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 168
8*b**2*d*e**6*f*g*m**2*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**
7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 840*b**2*d*e**6*f*g*m*x**3*(d + e*x)**m/(e**7*m**7 + 28
*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + b
**2*d*e**6*g**2*m**6*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*
m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 19*b**2*d*e**6*g**2*m**5*x**4*(d + e*x)**m/(e**7*m**7 + 2
8*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) +
131*b**2*d*e**6*g**2*m**4*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*
e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 401*b**2*d*e**6*g**2*m**3*x**4*(d + e*x)**m/(e**7*m*
*7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e*
*7) + 540*b**2*d*e**6*g**2*m**2*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 +
6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 252*b**2*d*e**6*g**2*m*x**4*(d + e*x)**m/(e**7
*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040
*e**7) + b**2*e**7*f**2*m**6*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 67
69*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 25*b**2*e**7*f**2*m**5*x**3*(d + e*x)**m/(e**7*m*
*7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e*
*7) + 247*b**2*e**7*f**2*m**4*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6
769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 1219*b**2*e**7*f**2*m**3*x**3*(d + e*x)**m/(e**7
*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040
*e**7) + 3112*b**2*e**7*f**2*m**2*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4
+ 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 3796*b**2*e**7*f**2*m*x**3*(d + e*x)**m/(e**
7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 504
0*e**7) + 1680*b**2*e**7*f**2*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6
769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 2*b**2*e**7*f*g*m**6*x**4*(d + e*x)**m/(e**7*m**
7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**
7) + 48*b**2*e**7*f*g*m**5*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769
*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 452*b**2*e**7*f*g*m**4*x**4*(d + e*x)**m/(e**7*m**7
+ 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7
) + 2112*b**2*e**7*f*g*m**3*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 676
9*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 5090*b**2*e**7*f*g*m**2*x**4*(d + e*x)**m/(e**7*m*
*7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e*
*7) + 5904*b**2*e**7*f*g*m*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769
*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 2520*b**2*e**7*f*g*x**4*(d + e*x)**m/(e**7*m**7 + 2
8*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) +
b**2*e**7*g**2*m**6*x**5*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m
**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 23*b**2*e**7*g**2*m**5*x**5*(d + e*x)**m/(e**7*m**7 + 28*e
**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 207
*b**2*e**7*g**2*m**4*x**5*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*
m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 925*b**2*e**7*g**2*m**3*x**5*(d + e*x)**m/(e**7*m**7 + 28
*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 2
144*b**2*e**7*g**2*m**2*x**5*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e*
*7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 2412*b**2*e**7*g**2*m*x**5*(d + e*x)**m/(e**7*m**7 + 2
8*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) +
1008*b**2*e**7*g**2*x**5*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m
**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 240*b*c*d**6*e*g**2*m*(d + e*x)**m/(e**7*m**7 + 28*e**7*m*
*6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 1680*b*c*
d**6*e*g**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e
**7*m**2 + 13068*e**7*m + 5040*e**7) + 96*b*c*d**5*e**2*f*g*m**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*
e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 1248*b*c*d**5*e**2
*f*g*m*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m
**2 + 13068*e**7*m + 5040*e**7) + 4032*b*c*d**5*e**2*f*g*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**
5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 240*b*c*d**5*e**2*g**2*m**
2*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2
+ 13068*e**7*m + 5040*e**7) + 1680*b*c*d**5*e**2*g**2*m*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m
**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 12*b*c*d**4*e**3*f**2*m*
*3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2
+ 13068*e**7*m + 5040*e**7) - 216*b*c*d**4*e**3*f**2*m**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m*
*5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 1284*b*c*d**4*e**3*f**2*m
*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 +
13068*e**7*m + 5040*e**7) - 2520*b*c*d**4*e**3*f**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1
960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 96*b*c*d**4*e**3*f*g*m**3*x*(d
+ e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 1306
8*e**7*m + 5040*e**7) - 1248*b*c*d**4*e**3*f*g*m**2*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 +
1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 4032*b*c*d**4*e**3*f*g*m*x*(d
+ e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 130
68*e**7*m + 5040*e**7) - 120*b*c*d**4*e**3*g**2*m**3*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m*
*5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 960*b*c*d**4*e**3*g**2*m*
*2*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*
m**2 + 13068*e**7*m + 5040*e**7) - 840*b*c*d**4*e**3*g**2*m*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*
e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 12*b*c*d**3*e**4*f
**2*m**4*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e*
*7*m**2 + 13068*e**7*m + 5040*e**7) + 216*b*c*d**3*e**4*f**2*m**3*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 3
22*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 1284*b*c*d**3*e
**4*f**2*m**2*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 131
32*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 2520*b*c*d**3*e**4*f**2*m*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6
+ 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 48*b*c*d**3*
e**4*f*g*m**4*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 +
13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 672*b*c*d**3*e**4*f*g*m**3*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**
7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 2640*
b*c*d**3*e**4*f*g*m**2*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**
7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 2016*b*c*d**3*e**4*f*g*m*x**2*(d + e*x)**m/(e**7*m**7 +
28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7)
+ 40*b*c*d**3*e**4*g**2*m**4*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 67
69*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 400*b*c*d**3*e**4*g**2*m**3*x**3*(d + e*x)**m/(e*
*7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 50
40*e**7) + 920*b*c*d**3*e**4*g**2*m**2*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7
*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 560*b*c*d**3*e**4*g**2*m*x**3*(d + e*x)
**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7
*m + 5040*e**7) - 6*b*c*d**2*e**5*f**2*m**5*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960
*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 114*b*c*d**2*e**5*f**2*m**4*x**2*(
d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13
068*e**7*m + 5040*e**7) - 750*b*c*d**2*e**5*f**2*m**3*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m
**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 1902*b*c*d**2*e**5*f**2*
m**2*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**
7*m**2 + 13068*e**7*m + 5040*e**7) - 1260*b*c*d**2*e**5*f**2*m*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 3
22*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 16*b*c*d**2*e**
5*f*g*m**5*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 131
32*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 256*b*c*d**2*e**5*f*g*m**4*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m
**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 1328*b*c
*d**2*e**5*f*g*m**3*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m
**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 2432*b*c*d**2*e**5*f*g*m**2*x**3*(d + e*x)**m/(e**7*m**7 +
28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7)
- 1344*b*c*d**2*e**5*f*g*m*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769
*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 10*b*c*d**2*e**5*g**2*m**5*x**4*(d + e*x)**m/(e**7*
m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*
e**7) - 130*b*c*d**2*e**5*g**2*m**4*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m*
*4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 530*b*c*d**2*e**5*g**2*m**3*x**4*(d + e*x)
**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7
*m + 5040*e**7) - 830*b*c*d**2*e**5*g**2*m**2*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 19
60*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 420*b*c*d**2*e**5*g**2*m*x**4*(d
+ e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 130
68*e**7*m + 5040*e**7) + 2*b*c*d*e**6*f**2*m**6*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 +
1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 42*b*c*d*e**6*f**2*m**5*x**3*(
d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13
068*e**7*m + 5040*e**7) + 326*b*c*d*e**6*f**2*m**4*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5
+ 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 1134*b*c*d*e**6*f**2*m**3*x
**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2
+ 13068*e**7*m + 5040*e**7) + 1688*b*c*d*e**6*f**2*m**2*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**
7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 840*b*c*d*e**6*f**2*m
*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m*
*2 + 13068*e**7*m + 5040*e**7) + 4*b*c*d*e**6*f*g*m**6*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*
m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 76*b*c*d*e**6*f*g*m**5*
x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**
2 + 13068*e**7*m + 5040*e**7) + 524*b*c*d*e**6*f*g*m**4*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7
*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 1604*b*c*d*e**6*f*g*m*
*3*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*
m**2 + 13068*e**7*m + 5040*e**7) + 2160*b*c*d*e**6*f*g*m**2*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*
e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 1008*b*c*d*e**6*f*
g*m*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7
*m**2 + 13068*e**7*m + 5040*e**7) + 2*b*c*d*e**6*g**2*m**6*x**5*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e
**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 34*b*c*d*e**6*g**2*
m**5*x**5*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**
7*m**2 + 13068*e**7*m + 5040*e**7) + 210*b*c*d*e**6*g**2*m**4*x**5*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 32
2*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 590*b*c*d*e**6*g
**2*m**3*x**5*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132
*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 748*b*c*d*e**6*g**2*m**2*x**5*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6
+ 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 336*b*c*d*e*
*6*g**2*m*x**5*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 1313
2*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 2*b*c*e**7*f**2*m**6*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 3
22*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 48*b*c*e**7*f**
2*m**5*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e
**7*m**2 + 13068*e**7*m + 5040*e**7) + 452*b*c*e**7*f**2*m**4*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 32
2*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 2112*b*c*e**7*f*
*2*m**3*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*
e**7*m**2 + 13068*e**7*m + 5040*e**7) + 5090*b*c*e**7*f**2*m**2*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 +
322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 5904*b*c*e**7*
f**2*m*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e
**7*m**2 + 13068*e**7*m + 5040*e**7) + 2520*b*c*e**7*f**2*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e*
*7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 4*b*c*e**7*f*g*m**6*
x**5*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**
2 + 13068*e**7*m + 5040*e**7) + 92*b*c*e**7*f*g*m**5*x**5*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m*
*5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 828*b*c*e**7*f*g*m**4*x**
5*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 +
13068*e**7*m + 5040*e**7) + 3700*b*c*e**7*f*g*m**3*x**5*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**
5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 8576*b*c*e**7*f*g*m**2*x**
5*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 +
13068*e**7*m + 5040*e**7) + 9648*b*c*e**7*f*g*m*x**5*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 +
1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 4032*b*c*e**7*f*g*x**5*(d + e
*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e
**7*m + 5040*e**7) + 2*b*c*e**7*g**2*m**6*x**6*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e
**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 44*b*c*e**7*g**2*m**5*x**6*(d + e*x)
**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7
*m + 5040*e**7) + 380*b*c*e**7*g**2*m**4*x**6*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e*
*7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 1640*b*c*e**7*g**2*m**3*x**6*(d + e*x
)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**
7*m + 5040*e**7) + 3698*b*c*e**7*g**2*m**2*x**6*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*
e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 4076*b*c*e**7*g**2*m*x**6*(d + e*x)
**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7
*m + 5040*e**7) + 1680*b*c*e**7*g**2*x**6*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m
**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 720*c**2*d**7*g**2*(d + e*x)**m/(e**7*m**
7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**
7) - 240*c**2*d**6*e*f*g*m*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7
*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 1680*c**2*d**6*e*f*g*(d + e*x)**m/(e**7*m**7 + 28*e**7*m
**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 720*c**2
*d**6*e*g**2*m*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13
132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 24*c**2*d**5*e**2*f**2*m**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6
+ 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 312*c**2*d*
*5*e**2*f**2*m*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 1313
2*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 1008*c**2*d**5*e**2*f**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 32
2*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 240*c**2*d**5*e*
*2*f*g*m**2*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132
*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 1680*c**2*d**5*e**2*f*g*m*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 +
322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 360*c**2*d**5*
e**2*g**2*m**2*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 +
13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 360*c**2*d**5*e**2*g**2*m*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**
7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 24*c*
*2*d**4*e**3*f**2*m**3*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m
**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 312*c**2*d**4*e**3*f**2*m**2*x*(d + e*x)**m/(e**7*m**7 + 2
8*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) -
1008*c**2*d**4*e**3*f**2*m*x*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e*
*7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 120*c**2*d**4*e**3*f*g*m**3*x**2*(d + e*x)**m/(e**7*m*
*7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e*
*7) - 960*c**2*d**4*e**3*f*g*m**2*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4
+ 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 840*c**2*d**4*e**3*f*g*m*x**2*(d + e*x)**m/(
e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m +
5040*e**7) - 120*c**2*d**4*e**3*g**2*m**3*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e
**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 360*c**2*d**4*e**3*g**2*m**2*x**3*(d
+ e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 130
68*e**7*m + 5040*e**7) - 240*c**2*d**4*e**3*g**2*m*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5
+ 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 12*c**2*d**3*e**4*f**2*m**4
*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m*
*2 + 13068*e**7*m + 5040*e**7) + 168*c**2*d**3*e**4*f**2*m**3*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 32
2*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 660*c**2*d**3*e*
*4*f**2*m**2*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 1
3132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 504*c**2*d**3*e**4*f**2*m*x**2*(d + e*x)**m/(e**7*m**7 + 28*e**7*
m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 40*c**2
*d**3*e**4*f*g*m**4*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m
**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 400*c**2*d**3*e**4*f*g*m**3*x**3*(d + e*x)**m/(e**7*m**7 +
28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7)
+ 920*c**2*d**3*e**4*f*g*m**2*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6
769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 560*c**2*d**3*e**4*f*g*m*x**3*(d + e*x)**m/(e**7
*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040
*e**7) + 30*c**2*d**3*e**4*g**2*m**4*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m
**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 180*c**2*d**3*e**4*g**2*m**3*x**4*(d + e*
x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e*
*7*m + 5040*e**7) + 330*c**2*d**3*e**4*g**2*m**2*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 +
1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 180*c**2*d**3*e**4*g**2*m*x**
4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 +
13068*e**7*m + 5040*e**7) - 4*c**2*d**2*e**5*f**2*m**5*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7
*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 64*c**2*d**2*e**5*f**2
*m**4*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e*
*7*m**2 + 13068*e**7*m + 5040*e**7) - 332*c**2*d**2*e**5*f**2*m**3*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6
+ 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 608*c**2*d*
*2*e**5*f**2*m**2*x**3*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**
3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 336*c**2*d**2*e**5*f**2*m*x**3*(d + e*x)**m/(e**7*m**7 + 28*
e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 10
*c**2*d**2*e**5*f*g*m**5*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e
**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 130*c**2*d**2*e**5*f*g*m**4*x**4*(d + e*x)**m/(e**7*m
**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e
**7) - 530*c**2*d**2*e**5*f*g*m**3*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**
4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 830*c**2*d**2*e**5*f*g*m**2*x**4*(d + e*x)*
*m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*
m + 5040*e**7) - 420*c**2*d**2*e**5*f*g*m*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e
**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 6*c**2*d**2*e**5*g**2*m**5*x**5*(d +
e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068
*e**7*m + 5040*e**7) - 60*c**2*d**2*e**5*g**2*m**4*x**5*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5
+ 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 210*c**2*d**2*e**5*g**2*m**
3*x**5*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m
**2 + 13068*e**7*m + 5040*e**7) - 300*c**2*d**2*e**5*g**2*m**2*x**5*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 3
22*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) - 144*c**2*d**2*e
**5*g**2*m*x**5*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 131
32*e**7*m**2 + 13068*e**7*m + 5040*e**7) + c**2*d*e**6*f**2*m**6*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 +
322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 19*c**2*d*e**
6*f**2*m**5*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13
132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 131*c**2*d*e**6*f**2*m**4*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m
**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 401*c**2
*d*e**6*f**2*m**3*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**
3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 540*c**2*d*e**6*f**2*m**2*x**4*(d + e*x)**m/(e**7*m**7 + 28*
e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 25
2*c**2*d*e**6*f**2*m*x**4*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*
m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 2*c**2*d*e**6*f*g*m**6*x**5*(d + e*x)**m/(e**7*m**7 + 28*
e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 34
*c**2*d*e**6*f*g*m**5*x**5*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7
*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 210*c**2*d*e**6*f*g*m**4*x**5*(d + e*x)**m/(e**7*m**7 +
28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) +
590*c**2*d*e**6*f*g*m**3*x**5*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*
e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 748*c**2*d*e**6*f*g*m**2*x**5*(d + e*x)**m/(e**7*m**
7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**
7) + 336*c**2*d*e**6*f*g*m*x**5*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769
*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + c**2*d*e**6*g**2*m**6*x**6*(d + e*x)**m/(e**7*m**7
+ 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7)
+ 15*c**2*d*e**6*g**2*m**5*x**6*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 676
9*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 85*c**2*d*e**6*g**2*m**4*x**6*(d + e*x)**m/(e**7*m
**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e
**7) + 225*c**2*d*e**6*g**2*m**3*x**6*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4
+ 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 274*c**2*d*e**6*g**2*m**2*x**6*(d + e*x)**m/(
e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m +
5040*e**7) + 120*c**2*d*e**6*g**2*m*x**6*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m*
*4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + c**2*e**7*f**2*m**6*x**5*(d + e*x)**m/(e**
7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 504
0*e**7) + 23*c**2*e**7*f**2*m**5*x**5*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4
+ 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 207*c**2*e**7*f**2*m**4*x**5*(d + e*x)**m/(e*
*7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 50
40*e**7) + 925*c**2*e**7*f**2*m**3*x**5*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**
4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 2144*c**2*e**7*f**2*m**2*x**5*(d + e*x)**m/
(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m +
5040*e**7) + 2412*c**2*e**7*f**2*m*x**5*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m*
*4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 1008*c**2*e**7*f**2*x**5*(d + e*x)**m/(e**
7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 504
0*e**7) + 2*c**2*e**7*f*g*m**6*x**6*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 +
6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 44*c**2*e**7*f*g*m**5*x**6*(d + e*x)**m/(e**7*m
**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e
**7) + 380*c**2*e**7*f*g*m**4*x**6*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6
769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 1640*c**2*e**7*f*g*m**3*x**6*(d + e*x)**m/(e**7*
m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*
e**7) + 3698*c**2*e**7*f*g*m**2*x**6*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 +
6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 4076*c**2*e**7*f*g*m*x**6*(d + e*x)**m/(e**7*m
**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e
**7) + 1680*c**2*e**7*f*g*x**6*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*
e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + c**2*e**7*g**2*m**6*x**7*(d + e*x)**m/(e**7*m**7 + 2
8*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) +
21*c**2*e**7*g**2*m**5*x**7*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**
7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 175*c**2*e**7*g**2*m**4*x**7*(d + e*x)**m/(e**7*m**7 +
28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) +
735*c**2*e**7*g**2*m**3*x**7*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e
**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 1624*c**2*e**7*g**2*m**2*x**7*(d + e*x)**m/(e**7*m**7
+ 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7
) + 1764*c**2*e**7*g**2*m*x**7*(d + e*x)**m/(e**7*m**7 + 28*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*
e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7) + 720*c**2*e**7*g**2*x**7*(d + e*x)**m/(e**7*m**7 + 28
*e**7*m**6 + 322*e**7*m**5 + 1960*e**7*m**4 + 6769*e**7*m**3 + 13132*e**7*m**2 + 13068*e**7*m + 5040*e**7), Tr
ue))

Maxima [B] (verification not implemented)

Leaf count of result is larger than twice the leaf count of optimal. 2034 vs. \(2 (525) = 1050\).

Time = 0.28 (sec) , antiderivative size = 2034, normalized size of antiderivative = 3.87 \[ \int (d+e x)^m (f+g x)^2 \left (a+b x+c x^2\right )^2 \, dx=\text {Too large to display} \]

[In]

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

[Out]

2*(e^2*(m + 1)*x^2 + d*e*m*x - d^2)*(e*x + d)^m*a*b*f^2/((m^2 + 3*m + 2)*e^2) + 2*(e^2*(m + 1)*x^2 + d*e*m*x -
d^2)*(e*x + d)^m*a^2*f*g/((m^2 + 3*m + 2)*e^2) + (e*x + d)^(m + 1)*a^2*f^2/(e*(m + 1)) + ((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*b^2*f^2/((m^3 + 6*m^2 + 11*m + 6)*e^3) + 2*((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*c*f^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*b*f*g/((m^3 + 6*
m^2 + 11*m + 6)*e^3) + ((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*g
^2/((m^3 + 6*m^2 + 11*m + 6)*e^3) + 2*((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*b*c*f^2/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^4) + 2*(
(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*b^2*f*g/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*e^4) + 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*c*f*g/((m^4 + 10*m^3
+ 35*m^2 + 50*m + 24)*e^4) + 2*((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*g^2/((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*c^2*f^2/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 +
274*m + 120)*e^5) + 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*c*f*g/((m^
5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^5) + ((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^2*g^2/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^5) + 2*((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*c*g^2/((m^5 + 15*m^4 + 85*m^3 + 225*m^2 + 274*m + 120)*e^5
) + 2*((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*c^2*f*g/((m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*m + 72
0)*e^6) + 2*((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*c*g^2/((m^6 + 21*m^5 + 175*m^4 + 735*m^3 + 1624*m^2 + 1764*
m + 720)*e^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*c^2*g^2/((m^7 + 28*m^6 + 322*m^5 + 1960*m^4 + 6769*m^3 + 13132*m^2 + 13068*m + 5040
)*e^7)

Giac [B] (verification not implemented)

Leaf count of result is larger than twice the leaf count of optimal. 10486 vs. \(2 (525) = 1050\).

Time = 0.36 (sec) , antiderivative size = 10486, normalized size of antiderivative = 19.97 \[ \int (d+e x)^m (f+g x)^2 \left (a+b x+c x^2\right )^2 \, dx=\text {Too large to display} \]

[In]

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

[Out]

((e*x + d)^m*c^2*e^7*g^2*m^6*x^7 + 2*(e*x + d)^m*c^2*e^7*f*g*m^6*x^6 + (e*x + d)^m*c^2*d*e^6*g^2*m^6*x^6 + 2*(
e*x + d)^m*b*c*e^7*g^2*m^6*x^6 + 21*(e*x + d)^m*c^2*e^7*g^2*m^5*x^7 + (e*x + d)^m*c^2*e^7*f^2*m^6*x^5 + 2*(e*x
+ d)^m*c^2*d*e^6*f*g*m^6*x^5 + 4*(e*x + d)^m*b*c*e^7*f*g*m^6*x^5 + 2*(e*x + d)^m*b*c*d*e^6*g^2*m^6*x^5 + (e*x
+ d)^m*b^2*e^7*g^2*m^6*x^5 + 2*(e*x + d)^m*a*c*e^7*g^2*m^6*x^5 + 44*(e*x + d)^m*c^2*e^7*f*g*m^5*x^6 + 15*(e*x
+ d)^m*c^2*d*e^6*g^2*m^5*x^6 + 44*(e*x + d)^m*b*c*e^7*g^2*m^5*x^6 + 175*(e*x + d)^m*c^2*e^7*g^2*m^4*x^7 + (e*
x + d)^m*c^2*d*e^6*f^2*m^6*x^4 + 2*(e*x + d)^m*b*c*e^7*f^2*m^6*x^4 + 4*(e*x + d)^m*b*c*d*e^6*f*g*m^6*x^4 + 2*(
e*x + d)^m*b^2*e^7*f*g*m^6*x^4 + 4*(e*x + d)^m*a*c*e^7*f*g*m^6*x^4 + (e*x + d)^m*b^2*d*e^6*g^2*m^6*x^4 + 2*(e*
x + d)^m*a*c*d*e^6*g^2*m^6*x^4 + 2*(e*x + d)^m*a*b*e^7*g^2*m^6*x^4 + 23*(e*x + d)^m*c^2*e^7*f^2*m^5*x^5 + 34*(
e*x + d)^m*c^2*d*e^6*f*g*m^5*x^5 + 92*(e*x + d)^m*b*c*e^7*f*g*m^5*x^5 - 6*(e*x + d)^m*c^2*d^2*e^5*g^2*m^5*x^5
+ 34*(e*x + d)^m*b*c*d*e^6*g^2*m^5*x^5 + 23*(e*x + d)^m*b^2*e^7*g^2*m^5*x^5 + 46*(e*x + d)^m*a*c*e^7*g^2*m^5*x
^5 + 380*(e*x + d)^m*c^2*e^7*f*g*m^4*x^6 + 85*(e*x + d)^m*c^2*d*e^6*g^2*m^4*x^6 + 380*(e*x + d)^m*b*c*e^7*g^2*
m^4*x^6 + 735*(e*x + d)^m*c^2*e^7*g^2*m^3*x^7 + 2*(e*x + d)^m*b*c*d*e^6*f^2*m^6*x^3 + (e*x + d)^m*b^2*e^7*f^2*
m^6*x^3 + 2*(e*x + d)^m*a*c*e^7*f^2*m^6*x^3 + 2*(e*x + d)^m*b^2*d*e^6*f*g*m^6*x^3 + 4*(e*x + d)^m*a*c*d*e^6*f*
g*m^6*x^3 + 4*(e*x + d)^m*a*b*e^7*f*g*m^6*x^3 + 2*(e*x + d)^m*a*b*d*e^6*g^2*m^6*x^3 + (e*x + d)^m*a^2*e^7*g^2*
m^6*x^3 + 19*(e*x + d)^m*c^2*d*e^6*f^2*m^5*x^4 + 48*(e*x + d)^m*b*c*e^7*f^2*m^5*x^4 - 10*(e*x + d)^m*c^2*d^2*e
^5*f*g*m^5*x^4 + 76*(e*x + d)^m*b*c*d*e^6*f*g*m^5*x^4 + 48*(e*x + d)^m*b^2*e^7*f*g*m^5*x^4 + 96*(e*x + d)^m*a*
c*e^7*f*g*m^5*x^4 - 10*(e*x + d)^m*b*c*d^2*e^5*g^2*m^5*x^4 + 19*(e*x + d)^m*b^2*d*e^6*g^2*m^5*x^4 + 38*(e*x +
d)^m*a*c*d*e^6*g^2*m^5*x^4 + 48*(e*x + d)^m*a*b*e^7*g^2*m^5*x^4 + 207*(e*x + d)^m*c^2*e^7*f^2*m^4*x^5 + 210*(e
*x + d)^m*c^2*d*e^6*f*g*m^4*x^5 + 828*(e*x + d)^m*b*c*e^7*f*g*m^4*x^5 - 60*(e*x + d)^m*c^2*d^2*e^5*g^2*m^4*x^5
+ 210*(e*x + d)^m*b*c*d*e^6*g^2*m^4*x^5 + 207*(e*x + d)^m*b^2*e^7*g^2*m^4*x^5 + 414*(e*x + d)^m*a*c*e^7*g^2*m
^4*x^5 + 1640*(e*x + d)^m*c^2*e^7*f*g*m^3*x^6 + 225*(e*x + d)^m*c^2*d*e^6*g^2*m^3*x^6 + 1640*(e*x + d)^m*b*c*e
^7*g^2*m^3*x^6 + 1624*(e*x + d)^m*c^2*e^7*g^2*m^2*x^7 + (e*x + d)^m*b^2*d*e^6*f^2*m^6*x^2 + 2*(e*x + d)^m*a*c*
d*e^6*f^2*m^6*x^2 + 2*(e*x + d)^m*a*b*e^7*f^2*m^6*x^2 + 4*(e*x + d)^m*a*b*d*e^6*f*g*m^6*x^2 + 2*(e*x + d)^m*a^
2*e^7*f*g*m^6*x^2 + (e*x + d)^m*a^2*d*e^6*g^2*m^6*x^2 - 4*(e*x + d)^m*c^2*d^2*e^5*f^2*m^5*x^3 + 42*(e*x + d)^m
*b*c*d*e^6*f^2*m^5*x^3 + 25*(e*x + d)^m*b^2*e^7*f^2*m^5*x^3 + 50*(e*x + d)^m*a*c*e^7*f^2*m^5*x^3 - 16*(e*x + d
)^m*b*c*d^2*e^5*f*g*m^5*x^3 + 42*(e*x + d)^m*b^2*d*e^6*f*g*m^5*x^3 + 84*(e*x + d)^m*a*c*d*e^6*f*g*m^5*x^3 + 10
0*(e*x + d)^m*a*b*e^7*f*g*m^5*x^3 - 4*(e*x + d)^m*b^2*d^2*e^5*g^2*m^5*x^3 - 8*(e*x + d)^m*a*c*d^2*e^5*g^2*m^5*
x^3 + 42*(e*x + d)^m*a*b*d*e^6*g^2*m^5*x^3 + 25*(e*x + d)^m*a^2*e^7*g^2*m^5*x^3 + 131*(e*x + d)^m*c^2*d*e^6*f^
2*m^4*x^4 + 452*(e*x + d)^m*b*c*e^7*f^2*m^4*x^4 - 130*(e*x + d)^m*c^2*d^2*e^5*f*g*m^4*x^4 + 524*(e*x + d)^m*b*
c*d*e^6*f*g*m^4*x^4 + 452*(e*x + d)^m*b^2*e^7*f*g*m^4*x^4 + 904*(e*x + d)^m*a*c*e^7*f*g*m^4*x^4 + 30*(e*x + d)
^m*c^2*d^3*e^4*g^2*m^4*x^4 - 130*(e*x + d)^m*b*c*d^2*e^5*g^2*m^4*x^4 + 131*(e*x + d)^m*b^2*d*e^6*g^2*m^4*x^4 +
262*(e*x + d)^m*a*c*d*e^6*g^2*m^4*x^4 + 452*(e*x + d)^m*a*b*e^7*g^2*m^4*x^4 + 925*(e*x + d)^m*c^2*e^7*f^2*m^3
*x^5 + 590*(e*x + d)^m*c^2*d*e^6*f*g*m^3*x^5 + 3700*(e*x + d)^m*b*c*e^7*f*g*m^3*x^5 - 210*(e*x + d)^m*c^2*d^2*
e^5*g^2*m^3*x^5 + 590*(e*x + d)^m*b*c*d*e^6*g^2*m^3*x^5 + 925*(e*x + d)^m*b^2*e^7*g^2*m^3*x^5 + 1850*(e*x + d)
^m*a*c*e^7*g^2*m^3*x^5 + 3698*(e*x + d)^m*c^2*e^7*f*g*m^2*x^6 + 274*(e*x + d)^m*c^2*d*e^6*g^2*m^2*x^6 + 3698*(
e*x + d)^m*b*c*e^7*g^2*m^2*x^6 + 1764*(e*x + d)^m*c^2*e^7*g^2*m*x^7 + 2*(e*x + d)^m*a*b*d*e^6*f^2*m^6*x + (e*x
+ d)^m*a^2*e^7*f^2*m^6*x + 2*(e*x + d)^m*a^2*d*e^6*f*g*m^6*x - 6*(e*x + d)^m*b*c*d^2*e^5*f^2*m^5*x^2 + 23*(e*
x + d)^m*b^2*d*e^6*f^2*m^5*x^2 + 46*(e*x + d)^m*a*c*d*e^6*f^2*m^5*x^2 + 52*(e*x + d)^m*a*b*e^7*f^2*m^5*x^2 - 6
*(e*x + d)^m*b^2*d^2*e^5*f*g*m^5*x^2 - 12*(e*x + d)^m*a*c*d^2*e^5*f*g*m^5*x^2 + 92*(e*x + d)^m*a*b*d*e^6*f*g*m
^5*x^2 + 52*(e*x + d)^m*a^2*e^7*f*g*m^5*x^2 - 6*(e*x + d)^m*a*b*d^2*e^5*g^2*m^5*x^2 + 23*(e*x + d)^m*a^2*d*e^6
*g^2*m^5*x^2 - 64*(e*x + d)^m*c^2*d^2*e^5*f^2*m^4*x^3 + 326*(e*x + d)^m*b*c*d*e^6*f^2*m^4*x^3 + 247*(e*x + d)^
m*b^2*e^7*f^2*m^4*x^3 + 494*(e*x + d)^m*a*c*e^7*f^2*m^4*x^3 + 40*(e*x + d)^m*c^2*d^3*e^4*f*g*m^4*x^3 - 256*(e*
x + d)^m*b*c*d^2*e^5*f*g*m^4*x^3 + 326*(e*x + d)^m*b^2*d*e^6*f*g*m^4*x^3 + 652*(e*x + d)^m*a*c*d*e^6*f*g*m^4*x
^3 + 988*(e*x + d)^m*a*b*e^7*f*g*m^4*x^3 + 40*(e*x + d)^m*b*c*d^3*e^4*g^2*m^4*x^3 - 64*(e*x + d)^m*b^2*d^2*e^5
*g^2*m^4*x^3 - 128*(e*x + d)^m*a*c*d^2*e^5*g^2*m^4*x^3 + 326*(e*x + d)^m*a*b*d*e^6*g^2*m^4*x^3 + 247*(e*x + d)
^m*a^2*e^7*g^2*m^4*x^3 + 401*(e*x + d)^m*c^2*d*e^6*f^2*m^3*x^4 + 2112*(e*x + d)^m*b*c*e^7*f^2*m^3*x^4 - 530*(e
*x + d)^m*c^2*d^2*e^5*f*g*m^3*x^4 + 1604*(e*x + d)^m*b*c*d*e^6*f*g*m^3*x^4 + 2112*(e*x + d)^m*b^2*e^7*f*g*m^3*
x^4 + 4224*(e*x + d)^m*a*c*e^7*f*g*m^3*x^4 + 180*(e*x + d)^m*c^2*d^3*e^4*g^2*m^3*x^4 - 530*(e*x + d)^m*b*c*d^2
*e^5*g^2*m^3*x^4 + 401*(e*x + d)^m*b^2*d*e^6*g^2*m^3*x^4 + 802*(e*x + d)^m*a*c*d*e^6*g^2*m^3*x^4 + 2112*(e*x +
d)^m*a*b*e^7*g^2*m^3*x^4 + 2144*(e*x + d)^m*c^2*e^7*f^2*m^2*x^5 + 748*(e*x + d)^m*c^2*d*e^6*f*g*m^2*x^5 + 857
6*(e*x + d)^m*b*c*e^7*f*g*m^2*x^5 - 300*(e*x + d)^m*c^2*d^2*e^5*g^2*m^2*x^5 + 748*(e*x + d)^m*b*c*d*e^6*g^2*m^
2*x^5 + 2144*(e*x + d)^m*b^2*e^7*g^2*m^2*x^5 + 4288*(e*x + d)^m*a*c*e^7*g^2*m^2*x^5 + 4076*(e*x + d)^m*c^2*e^7
*f*g*m*x^6 + 120*(e*x + d)^m*c^2*d*e^6*g^2*m*x^6 + 4076*(e*x + d)^m*b*c*e^7*g^2*m*x^6 + 720*(e*x + d)^m*c^2*e^
7*g^2*x^7 + (e*x + d)^m*a^2*d*e^6*f^2*m^6 - 2*(e*x + d)^m*b^2*d^2*e^5*f^2*m^5*x - 4*(e*x + d)^m*a*c*d^2*e^5*f^
2*m^5*x + 50*(e*x + d)^m*a*b*d*e^6*f^2*m^5*x + 27*(e*x + d)^m*a^2*e^7*f^2*m^5*x - 8*(e*x + d)^m*a*b*d^2*e^5*f*
g*m^5*x + 50*(e*x + d)^m*a^2*d*e^6*f*g*m^5*x - 2*(e*x + d)^m*a^2*d^2*e^5*g^2*m^5*x + 12*(e*x + d)^m*c^2*d^3*e^
4*f^2*m^4*x^2 - 114*(e*x + d)^m*b*c*d^2*e^5*f^2*m^4*x^2 + 201*(e*x + d)^m*b^2*d*e^6*f^2*m^4*x^2 + 402*(e*x + d
)^m*a*c*d*e^6*f^2*m^4*x^2 + 540*(e*x + d)^m*a*b*e^7*f^2*m^4*x^2 + 48*(e*x + d)^m*b*c*d^3*e^4*f*g*m^4*x^2 - 114
*(e*x + d)^m*b^2*d^2*e^5*f*g*m^4*x^2 - 228*(e*x + d)^m*a*c*d^2*e^5*f*g*m^4*x^2 + 804*(e*x + d)^m*a*b*d*e^6*f*g
*m^4*x^2 + 540*(e*x + d)^m*a^2*e^7*f*g*m^4*x^2 + 12*(e*x + d)^m*b^2*d^3*e^4*g^2*m^4*x^2 + 24*(e*x + d)^m*a*c*d
^3*e^4*g^2*m^4*x^2 - 114*(e*x + d)^m*a*b*d^2*e^5*g^2*m^4*x^2 + 201*(e*x + d)^m*a^2*d*e^6*g^2*m^4*x^2 - 332*(e*
x + d)^m*c^2*d^2*e^5*f^2*m^3*x^3 + 1134*(e*x + d)^m*b*c*d*e^6*f^2*m^3*x^3 + 1219*(e*x + d)^m*b^2*e^7*f^2*m^3*x
^3 + 2438*(e*x + d)^m*a*c*e^7*f^2*m^3*x^3 + 400*(e*x + d)^m*c^2*d^3*e^4*f*g*m^3*x^3 - 1328*(e*x + d)^m*b*c*d^2
*e^5*f*g*m^3*x^3 + 1134*(e*x + d)^m*b^2*d*e^6*f*g*m^3*x^3 + 2268*(e*x + d)^m*a*c*d*e^6*f*g*m^3*x^3 + 4876*(e*x
+ d)^m*a*b*e^7*f*g*m^3*x^3 - 120*(e*x + d)^m*c^2*d^4*e^3*g^2*m^3*x^3 + 400*(e*x + d)^m*b*c*d^3*e^4*g^2*m^3*x^
3 - 332*(e*x + d)^m*b^2*d^2*e^5*g^2*m^3*x^3 - 664*(e*x + d)^m*a*c*d^2*e^5*g^2*m^3*x^3 + 1134*(e*x + d)^m*a*b*d
*e^6*g^2*m^3*x^3 + 1219*(e*x + d)^m*a^2*e^7*g^2*m^3*x^3 + 540*(e*x + d)^m*c^2*d*e^6*f^2*m^2*x^4 + 5090*(e*x +
d)^m*b*c*e^7*f^2*m^2*x^4 - 830*(e*x + d)^m*c^2*d^2*e^5*f*g*m^2*x^4 + 2160*(e*x + d)^m*b*c*d*e^6*f*g*m^2*x^4 +
5090*(e*x + d)^m*b^2*e^7*f*g*m^2*x^4 + 10180*(e*x + d)^m*a*c*e^7*f*g*m^2*x^4 + 330*(e*x + d)^m*c^2*d^3*e^4*g^2
*m^2*x^4 - 830*(e*x + d)^m*b*c*d^2*e^5*g^2*m^2*x^4 + 540*(e*x + d)^m*b^2*d*e^6*g^2*m^2*x^4 + 1080*(e*x + d)^m*
a*c*d*e^6*g^2*m^2*x^4 + 5090*(e*x + d)^m*a*b*e^7*g^2*m^2*x^4 + 2412*(e*x + d)^m*c^2*e^7*f^2*m*x^5 + 336*(e*x +
d)^m*c^2*d*e^6*f*g*m*x^5 + 9648*(e*x + d)^m*b*c*e^7*f*g*m*x^5 - 144*(e*x + d)^m*c^2*d^2*e^5*g^2*m*x^5 + 336*(
e*x + d)^m*b*c*d*e^6*g^2*m*x^5 + 2412*(e*x + d)^m*b^2*e^7*g^2*m*x^5 + 4824*(e*x + d)^m*a*c*e^7*g^2*m*x^5 + 168
0*(e*x + d)^m*c^2*e^7*f*g*x^6 + 1680*(e*x + d)^m*b*c*e^7*g^2*x^6 - 2*(e*x + d)^m*a*b*d^2*e^5*f^2*m^5 + 27*(e*x
+ d)^m*a^2*d*e^6*f^2*m^5 - 2*(e*x + d)^m*a^2*d^2*e^5*f*g*m^5 + 12*(e*x + d)^m*b*c*d^3*e^4*f^2*m^4*x - 44*(e*x
+ d)^m*b^2*d^2*e^5*f^2*m^4*x - 88*(e*x + d)^m*a*c*d^2*e^5*f^2*m^4*x + 490*(e*x + d)^m*a*b*d*e^6*f^2*m^4*x + 2
95*(e*x + d)^m*a^2*e^7*f^2*m^4*x + 12*(e*x + d)^m*b^2*d^3*e^4*f*g*m^4*x + 24*(e*x + d)^m*a*c*d^3*e^4*f*g*m^4*x
- 176*(e*x + d)^m*a*b*d^2*e^5*f*g*m^4*x + 490*(e*x + d)^m*a^2*d*e^6*f*g*m^4*x + 12*(e*x + d)^m*a*b*d^3*e^4*g^
2*m^4*x - 44*(e*x + d)^m*a^2*d^2*e^5*g^2*m^4*x + 168*(e*x + d)^m*c^2*d^3*e^4*f^2*m^3*x^2 - 750*(e*x + d)^m*b*c
*d^2*e^5*f^2*m^3*x^2 + 817*(e*x + d)^m*b^2*d*e^6*f^2*m^3*x^2 + 1634*(e*x + d)^m*a*c*d*e^6*f^2*m^3*x^2 + 2840*(
e*x + d)^m*a*b*e^7*f^2*m^3*x^2 - 120*(e*x + d)^m*c^2*d^4*e^3*f*g*m^3*x^2 + 672*(e*x + d)^m*b*c*d^3*e^4*f*g*m^3
*x^2 - 750*(e*x + d)^m*b^2*d^2*e^5*f*g*m^3*x^2 - 1500*(e*x + d)^m*a*c*d^2*e^5*f*g*m^3*x^2 + 3268*(e*x + d)^m*a
*b*d*e^6*f*g*m^3*x^2 + 2840*(e*x + d)^m*a^2*e^7*f*g*m^3*x^2 - 120*(e*x + d)^m*b*c*d^4*e^3*g^2*m^3*x^2 + 168*(e
*x + d)^m*b^2*d^3*e^4*g^2*m^3*x^2 + 336*(e*x + d)^m*a*c*d^3*e^4*g^2*m^3*x^2 - 750*(e*x + d)^m*a*b*d^2*e^5*g^2*
m^3*x^2 + 817*(e*x + d)^m*a^2*d*e^6*g^2*m^3*x^2 - 608*(e*x + d)^m*c^2*d^2*e^5*f^2*m^2*x^3 + 1688*(e*x + d)^m*b
*c*d*e^6*f^2*m^2*x^3 + 3112*(e*x + d)^m*b^2*e^7*f^2*m^2*x^3 + 6224*(e*x + d)^m*a*c*e^7*f^2*m^2*x^3 + 920*(e*x
+ d)^m*c^2*d^3*e^4*f*g*m^2*x^3 - 2432*(e*x + d)^m*b*c*d^2*e^5*f*g*m^2*x^3 + 1688*(e*x + d)^m*b^2*d*e^6*f*g*m^2
*x^3 + 3376*(e*x + d)^m*a*c*d*e^6*f*g*m^2*x^3 + 12448*(e*x + d)^m*a*b*e^7*f*g*m^2*x^3 - 360*(e*x + d)^m*c^2*d^
4*e^3*g^2*m^2*x^3 + 920*(e*x + d)^m*b*c*d^3*e^4*g^2*m^2*x^3 - 608*(e*x + d)^m*b^2*d^2*e^5*g^2*m^2*x^3 - 1216*(
e*x + d)^m*a*c*d^2*e^5*g^2*m^2*x^3 + 1688*(e*x + d)^m*a*b*d*e^6*g^2*m^2*x^3 + 3112*(e*x + d)^m*a^2*e^7*g^2*m^2
*x^3 + 252*(e*x + d)^m*c^2*d*e^6*f^2*m*x^4 + 5904*(e*x + d)^m*b*c*e^7*f^2*m*x^4 - 420*(e*x + d)^m*c^2*d^2*e^5*
f*g*m*x^4 + 1008*(e*x + d)^m*b*c*d*e^6*f*g*m*x^4 + 5904*(e*x + d)^m*b^2*e^7*f*g*m*x^4 + 11808*(e*x + d)^m*a*c*
e^7*f*g*m*x^4 + 180*(e*x + d)^m*c^2*d^3*e^4*g^2*m*x^4 - 420*(e*x + d)^m*b*c*d^2*e^5*g^2*m*x^4 + 252*(e*x + d)^
m*b^2*d*e^6*g^2*m*x^4 + 504*(e*x + d)^m*a*c*d*e^6*g^2*m*x^4 + 5904*(e*x + d)^m*a*b*e^7*g^2*m*x^4 + 1008*(e*x +
d)^m*c^2*e^7*f^2*x^5 + 4032*(e*x + d)^m*b*c*e^7*f*g*x^5 + 1008*(e*x + d)^m*b^2*e^7*g^2*x^5 + 2016*(e*x + d)^m
*a*c*e^7*g^2*x^5 + 2*(e*x + d)^m*b^2*d^3*e^4*f^2*m^4 + 4*(e*x + d)^m*a*c*d^3*e^4*f^2*m^4 - 50*(e*x + d)^m*a*b*
d^2*e^5*f^2*m^4 + 295*(e*x + d)^m*a^2*d*e^6*f^2*m^4 + 8*(e*x + d)^m*a*b*d^3*e^4*f*g*m^4 - 50*(e*x + d)^m*a^2*d
^2*e^5*f*g*m^4 + 2*(e*x + d)^m*a^2*d^3*e^4*g^2*m^4 - 24*(e*x + d)^m*c^2*d^4*e^3*f^2*m^3*x + 216*(e*x + d)^m*b*
c*d^3*e^4*f^2*m^3*x - 358*(e*x + d)^m*b^2*d^2*e^5*f^2*m^3*x - 716*(e*x + d)^m*a*c*d^2*e^5*f^2*m^3*x + 2350*(e*
x + d)^m*a*b*d*e^6*f^2*m^3*x + 1665*(e*x + d)^m*a^2*e^7*f^2*m^3*x - 96*(e*x + d)^m*b*c*d^4*e^3*f*g*m^3*x + 216
*(e*x + d)^m*b^2*d^3*e^4*f*g*m^3*x + 432*(e*x + d)^m*a*c*d^3*e^4*f*g*m^3*x - 1432*(e*x + d)^m*a*b*d^2*e^5*f*g*
m^3*x + 2350*(e*x + d)^m*a^2*d*e^6*f*g*m^3*x - 24*(e*x + d)^m*b^2*d^4*e^3*g^2*m^3*x - 48*(e*x + d)^m*a*c*d^4*e
^3*g^2*m^3*x + 216*(e*x + d)^m*a*b*d^3*e^4*g^2*m^3*x - 358*(e*x + d)^m*a^2*d^2*e^5*g^2*m^3*x + 660*(e*x + d)^m
*c^2*d^3*e^4*f^2*m^2*x^2 - 1902*(e*x + d)^m*b*c*d^2*e^5*f^2*m^2*x^2 + 1478*(e*x + d)^m*b^2*d*e^6*f^2*m^2*x^2 +
2956*(e*x + d)^m*a*c*d*e^6*f^2*m^2*x^2 + 7858*(e*x + d)^m*a*b*e^7*f^2*m^2*x^2 - 960*(e*x + d)^m*c^2*d^4*e^3*f
*g*m^2*x^2 + 2640*(e*x + d)^m*b*c*d^3*e^4*f*g*m^2*x^2 - 1902*(e*x + d)^m*b^2*d^2*e^5*f*g*m^2*x^2 - 3804*(e*x +
d)^m*a*c*d^2*e^5*f*g*m^2*x^2 + 5912*(e*x + d)^m*a*b*d*e^6*f*g*m^2*x^2 + 7858*(e*x + d)^m*a^2*e^7*f*g*m^2*x^2
+ 360*(e*x + d)^m*c^2*d^5*e^2*g^2*m^2*x^2 - 960*(e*x + d)^m*b*c*d^4*e^3*g^2*m^2*x^2 + 660*(e*x + d)^m*b^2*d^3*
e^4*g^2*m^2*x^2 + 1320*(e*x + d)^m*a*c*d^3*e^4*g^2*m^2*x^2 - 1902*(e*x + d)^m*a*b*d^2*e^5*g^2*m^2*x^2 + 1478*(
e*x + d)^m*a^2*d*e^6*g^2*m^2*x^2 - 336*(e*x + d)^m*c^2*d^2*e^5*f^2*m*x^3 + 840*(e*x + d)^m*b*c*d*e^6*f^2*m*x^3
+ 3796*(e*x + d)^m*b^2*e^7*f^2*m*x^3 + 7592*(e*x + d)^m*a*c*e^7*f^2*m*x^3 + 560*(e*x + d)^m*c^2*d^3*e^4*f*g*m
*x^3 - 1344*(e*x + d)^m*b*c*d^2*e^5*f*g*m*x^3 + 840*(e*x + d)^m*b^2*d*e^6*f*g*m*x^3 + 1680*(e*x + d)^m*a*c*d*e
^6*f*g*m*x^3 + 15184*(e*x + d)^m*a*b*e^7*f*g*m*x^3 - 240*(e*x + d)^m*c^2*d^4*e^3*g^2*m*x^3 + 560*(e*x + d)^m*b
*c*d^3*e^4*g^2*m*x^3 - 336*(e*x + d)^m*b^2*d^2*e^5*g^2*m*x^3 - 672*(e*x + d)^m*a*c*d^2*e^5*g^2*m*x^3 + 840*(e*
x + d)^m*a*b*d*e^6*g^2*m*x^3 + 3796*(e*x + d)^m*a^2*e^7*g^2*m*x^3 + 2520*(e*x + d)^m*b*c*e^7*f^2*x^4 + 2520*(e
*x + d)^m*b^2*e^7*f*g*x^4 + 5040*(e*x + d)^m*a*c*e^7*f*g*x^4 + 2520*(e*x + d)^m*a*b*e^7*g^2*x^4 - 12*(e*x + d)
^m*b*c*d^4*e^3*f^2*m^3 + 44*(e*x + d)^m*b^2*d^3*e^4*f^2*m^3 + 88*(e*x + d)^m*a*c*d^3*e^4*f^2*m^3 - 490*(e*x +
d)^m*a*b*d^2*e^5*f^2*m^3 + 1665*(e*x + d)^m*a^2*d*e^6*f^2*m^3 - 12*(e*x + d)^m*b^2*d^4*e^3*f*g*m^3 - 24*(e*x +
d)^m*a*c*d^4*e^3*f*g*m^3 + 176*(e*x + d)^m*a*b*d^3*e^4*f*g*m^3 - 490*(e*x + d)^m*a^2*d^2*e^5*f*g*m^3 - 12*(e*
x + d)^m*a*b*d^4*e^3*g^2*m^3 + 44*(e*x + d)^m*a^2*d^3*e^4*g^2*m^3 - 312*(e*x + d)^m*c^2*d^4*e^3*f^2*m^2*x + 12
84*(e*x + d)^m*b*c*d^3*e^4*f^2*m^2*x - 1276*(e*x + d)^m*b^2*d^2*e^5*f^2*m^2*x - 2552*(e*x + d)^m*a*c*d^2*e^5*f
^2*m^2*x + 5508*(e*x + d)^m*a*b*d*e^6*f^2*m^2*x + 5104*(e*x + d)^m*a^2*e^7*f^2*m^2*x + 240*(e*x + d)^m*c^2*d^5
*e^2*f*g*m^2*x - 1248*(e*x + d)^m*b*c*d^4*e^3*f*g*m^2*x + 1284*(e*x + d)^m*b^2*d^3*e^4*f*g*m^2*x + 2568*(e*x +
d)^m*a*c*d^3*e^4*f*g*m^2*x - 5104*(e*x + d)^m*a*b*d^2*e^5*f*g*m^2*x + 5508*(e*x + d)^m*a^2*d*e^6*f*g*m^2*x +
240*(e*x + d)^m*b*c*d^5*e^2*g^2*m^2*x - 312*(e*x + d)^m*b^2*d^4*e^3*g^2*m^2*x - 624*(e*x + d)^m*a*c*d^4*e^3*g^
2*m^2*x + 1284*(e*x + d)^m*a*b*d^3*e^4*g^2*m^2*x - 1276*(e*x + d)^m*a^2*d^2*e^5*g^2*m^2*x + 504*(e*x + d)^m*c^
2*d^3*e^4*f^2*m*x^2 - 1260*(e*x + d)^m*b*c*d^2*e^5*f^2*m*x^2 + 840*(e*x + d)^m*b^2*d*e^6*f^2*m*x^2 + 1680*(e*x
+ d)^m*a*c*d*e^6*f^2*m*x^2 + 10548*(e*x + d)^m*a*b*e^7*f^2*m*x^2 - 840*(e*x + d)^m*c^2*d^4*e^3*f*g*m*x^2 + 20
16*(e*x + d)^m*b*c*d^3*e^4*f*g*m*x^2 - 1260*(e*x + d)^m*b^2*d^2*e^5*f*g*m*x^2 - 2520*(e*x + d)^m*a*c*d^2*e^5*f
*g*m*x^2 + 3360*(e*x + d)^m*a*b*d*e^6*f*g*m*x^2 + 10548*(e*x + d)^m*a^2*e^7*f*g*m*x^2 + 360*(e*x + d)^m*c^2*d^
5*e^2*g^2*m*x^2 - 840*(e*x + d)^m*b*c*d^4*e^3*g^2*m*x^2 + 504*(e*x + d)^m*b^2*d^3*e^4*g^2*m*x^2 + 1008*(e*x +
d)^m*a*c*d^3*e^4*g^2*m*x^2 - 1260*(e*x + d)^m*a*b*d^2*e^5*g^2*m*x^2 + 840*(e*x + d)^m*a^2*d*e^6*g^2*m*x^2 + 16
80*(e*x + d)^m*b^2*e^7*f^2*x^3 + 3360*(e*x + d)^m*a*c*e^7*f^2*x^3 + 6720*(e*x + d)^m*a*b*e^7*f*g*x^3 + 1680*(e
*x + d)^m*a^2*e^7*g^2*x^3 + 24*(e*x + d)^m*c^2*d^5*e^2*f^2*m^2 - 216*(e*x + d)^m*b*c*d^4*e^3*f^2*m^2 + 358*(e*
x + d)^m*b^2*d^3*e^4*f^2*m^2 + 716*(e*x + d)^m*a*c*d^3*e^4*f^2*m^2 - 2350*(e*x + d)^m*a*b*d^2*e^5*f^2*m^2 + 51
04*(e*x + d)^m*a^2*d*e^6*f^2*m^2 + 96*(e*x + d)^m*b*c*d^5*e^2*f*g*m^2 - 216*(e*x + d)^m*b^2*d^4*e^3*f*g*m^2 -
432*(e*x + d)^m*a*c*d^4*e^3*f*g*m^2 + 1432*(e*x + d)^m*a*b*d^3*e^4*f*g*m^2 - 2350*(e*x + d)^m*a^2*d^2*e^5*f*g*
m^2 + 24*(e*x + d)^m*b^2*d^5*e^2*g^2*m^2 + 48*(e*x + d)^m*a*c*d^5*e^2*g^2*m^2 - 216*(e*x + d)^m*a*b*d^4*e^3*g^
2*m^2 + 358*(e*x + d)^m*a^2*d^3*e^4*g^2*m^2 - 1008*(e*x + d)^m*c^2*d^4*e^3*f^2*m*x + 2520*(e*x + d)^m*b*c*d^3*
e^4*f^2*m*x - 1680*(e*x + d)^m*b^2*d^2*e^5*f^2*m*x - 3360*(e*x + d)^m*a*c*d^2*e^5*f^2*m*x + 5040*(e*x + d)^m*a
*b*d*e^6*f^2*m*x + 8028*(e*x + d)^m*a^2*e^7*f^2*m*x + 1680*(e*x + d)^m*c^2*d^5*e^2*f*g*m*x - 4032*(e*x + d)^m*
b*c*d^4*e^3*f*g*m*x + 2520*(e*x + d)^m*b^2*d^3*e^4*f*g*m*x + 5040*(e*x + d)^m*a*c*d^3*e^4*f*g*m*x - 6720*(e*x
+ d)^m*a*b*d^2*e^5*f*g*m*x + 5040*(e*x + d)^m*a^2*d*e^6*f*g*m*x - 720*(e*x + d)^m*c^2*d^6*e*g^2*m*x + 1680*(e*
x + d)^m*b*c*d^5*e^2*g^2*m*x - 1008*(e*x + d)^m*b^2*d^4*e^3*g^2*m*x - 2016*(e*x + d)^m*a*c*d^4*e^3*g^2*m*x + 2
520*(e*x + d)^m*a*b*d^3*e^4*g^2*m*x - 1680*(e*x + d)^m*a^2*d^2*e^5*g^2*m*x + 5040*(e*x + d)^m*a*b*e^7*f^2*x^2
+ 5040*(e*x + d)^m*a^2*e^7*f*g*x^2 + 312*(e*x + d)^m*c^2*d^5*e^2*f^2*m - 1284*(e*x + d)^m*b*c*d^4*e^3*f^2*m +
1276*(e*x + d)^m*b^2*d^3*e^4*f^2*m + 2552*(e*x + d)^m*a*c*d^3*e^4*f^2*m - 5508*(e*x + d)^m*a*b*d^2*e^5*f^2*m +
8028*(e*x + d)^m*a^2*d*e^6*f^2*m - 240*(e*x + d)^m*c^2*d^6*e*f*g*m + 1248*(e*x + d)^m*b*c*d^5*e^2*f*g*m - 128
4*(e*x + d)^m*b^2*d^4*e^3*f*g*m - 2568*(e*x + d)^m*a*c*d^4*e^3*f*g*m + 5104*(e*x + d)^m*a*b*d^3*e^4*f*g*m - 55
08*(e*x + d)^m*a^2*d^2*e^5*f*g*m - 240*(e*x + d)^m*b*c*d^6*e*g^2*m + 312*(e*x + d)^m*b^2*d^5*e^2*g^2*m + 624*(
e*x + d)^m*a*c*d^5*e^2*g^2*m - 1284*(e*x + d)^m*a*b*d^4*e^3*g^2*m + 1276*(e*x + d)^m*a^2*d^3*e^4*g^2*m + 5040*
(e*x + d)^m*a^2*e^7*f^2*x + 1008*(e*x + d)^m*c^2*d^5*e^2*f^2 - 2520*(e*x + d)^m*b*c*d^4*e^3*f^2 + 1680*(e*x +
d)^m*b^2*d^3*e^4*f^2 + 3360*(e*x + d)^m*a*c*d^3*e^4*f^2 - 5040*(e*x + d)^m*a*b*d^2*e^5*f^2 + 5040*(e*x + d)^m*
a^2*d*e^6*f^2 - 1680*(e*x + d)^m*c^2*d^6*e*f*g + 4032*(e*x + d)^m*b*c*d^5*e^2*f*g - 2520*(e*x + d)^m*b^2*d^4*e
^3*f*g - 5040*(e*x + d)^m*a*c*d^4*e^3*f*g + 6720*(e*x + d)^m*a*b*d^3*e^4*f*g - 5040*(e*x + d)^m*a^2*d^2*e^5*f*
g + 720*(e*x + d)^m*c^2*d^7*g^2 - 1680*(e*x + d)^m*b*c*d^6*e*g^2 + 1008*(e*x + d)^m*b^2*d^5*e^2*g^2 + 2016*(e*
x + d)^m*a*c*d^5*e^2*g^2 - 2520*(e*x + d)^m*a*b*d^4*e^3*g^2 + 1680*(e*x + d)^m*a^2*d^3*e^4*g^2)/(e^7*m^7 + 28*
e^7*m^6 + 322*e^7*m^5 + 1960*e^7*m^4 + 6769*e^7*m^3 + 13132*e^7*m^2 + 13068*e^7*m + 5040*e^7)

Mupad [B] (verification not implemented)

Time = 14.95 (sec) , antiderivative size = 4871, normalized size of antiderivative = 9.28 \[ \int (d+e x)^m (f+g x)^2 \left (a+b x+c x^2\right )^2 \, dx=\text {Too large to display} \]

[In]

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

[Out]

((d + e*x)^m*(720*c^2*d^7*g^2 + 5040*a^2*d*e^6*f^2 + 1680*a^2*d^3*e^4*g^2 + 1680*b^2*d^3*e^4*f^2 + 1008*b^2*d^
5*e^2*g^2 + 1008*c^2*d^5*e^2*f^2 - 1680*b*c*d^6*e*g^2 - 1680*c^2*d^6*e*f*g + 358*a^2*d^3*e^4*g^2*m^2 + 358*b^2
*d^3*e^4*f^2*m^2 + 44*a^2*d^3*e^4*g^2*m^3 + 44*b^2*d^3*e^4*f^2*m^3 + 2*a^2*d^3*e^4*g^2*m^4 + 2*b^2*d^3*e^4*f^2
*m^4 + 24*b^2*d^5*e^2*g^2*m^2 + 24*c^2*d^5*e^2*f^2*m^2 - 5040*a*b*d^2*e^5*f^2 - 2520*a*b*d^4*e^3*g^2 + 3360*a*
c*d^3*e^4*f^2 + 2016*a*c*d^5*e^2*g^2 - 2520*b*c*d^4*e^3*f^2 - 5040*a^2*d^2*e^5*f*g - 2520*b^2*d^4*e^3*f*g + 80
28*a^2*d*e^6*f^2*m + 5104*a^2*d*e^6*f^2*m^2 + 1665*a^2*d*e^6*f^2*m^3 + 295*a^2*d*e^6*f^2*m^4 + 27*a^2*d*e^6*f^
2*m^5 + a^2*d*e^6*f^2*m^6 + 1276*a^2*d^3*e^4*g^2*m + 1276*b^2*d^3*e^4*f^2*m + 312*b^2*d^5*e^2*g^2*m + 312*c^2*
d^5*e^2*f^2*m - 2350*a*b*d^2*e^5*f^2*m^2 - 490*a*b*d^2*e^5*f^2*m^3 - 50*a*b*d^2*e^5*f^2*m^4 - 2*a*b*d^2*e^5*f^
2*m^5 - 216*a*b*d^4*e^3*g^2*m^2 + 716*a*c*d^3*e^4*f^2*m^2 - 12*a*b*d^4*e^3*g^2*m^3 + 88*a*c*d^3*e^4*f^2*m^3 +
4*a*c*d^3*e^4*f^2*m^4 + 48*a*c*d^5*e^2*g^2*m^2 - 216*b*c*d^4*e^3*f^2*m^2 - 12*b*c*d^4*e^3*f^2*m^3 - 2350*a^2*d
^2*e^5*f*g*m^2 - 490*a^2*d^2*e^5*f*g*m^3 - 50*a^2*d^2*e^5*f*g*m^4 - 2*a^2*d^2*e^5*f*g*m^5 - 216*b^2*d^4*e^3*f*
g*m^2 - 12*b^2*d^4*e^3*f*g*m^3 + 6720*a*b*d^3*e^4*f*g - 5040*a*c*d^4*e^3*f*g + 4032*b*c*d^5*e^2*f*g - 240*b*c*
d^6*e*g^2*m - 240*c^2*d^6*e*f*g*m - 5508*a*b*d^2*e^5*f^2*m - 1284*a*b*d^4*e^3*g^2*m + 2552*a*c*d^3*e^4*f^2*m +
624*a*c*d^5*e^2*g^2*m - 1284*b*c*d^4*e^3*f^2*m - 5508*a^2*d^2*e^5*f*g*m - 1284*b^2*d^4*e^3*f*g*m + 1432*a*b*d
^3*e^4*f*g*m^2 + 176*a*b*d^3*e^4*f*g*m^3 + 8*a*b*d^3*e^4*f*g*m^4 - 432*a*c*d^4*e^3*f*g*m^2 - 24*a*c*d^4*e^3*f*
g*m^3 + 96*b*c*d^5*e^2*f*g*m^2 + 5104*a*b*d^3*e^4*f*g*m - 2568*a*c*d^4*e^3*f*g*m + 1248*b*c*d^5*e^2*f*g*m))/(e
^7*(13068*m + 13132*m^2 + 6769*m^3 + 1960*m^4 + 322*m^5 + 28*m^6 + m^7 + 5040)) + (x*(d + e*x)^m*(5040*a^2*e^7
*f^2 + 8028*a^2*e^7*f^2*m + 5104*a^2*e^7*f^2*m^2 + 1665*a^2*e^7*f^2*m^3 + 295*a^2*e^7*f^2*m^4 + 27*a^2*e^7*f^2
*m^5 + a^2*e^7*f^2*m^6 - 1276*a^2*d^2*e^5*g^2*m^2 - 1276*b^2*d^2*e^5*f^2*m^2 - 358*a^2*d^2*e^5*g^2*m^3 - 358*b
^2*d^2*e^5*f^2*m^3 - 44*a^2*d^2*e^5*g^2*m^4 - 44*b^2*d^2*e^5*f^2*m^4 - 2*a^2*d^2*e^5*g^2*m^5 - 2*b^2*d^2*e^5*f
^2*m^5 - 312*b^2*d^4*e^3*g^2*m^2 - 312*c^2*d^4*e^3*f^2*m^2 - 24*b^2*d^4*e^3*g^2*m^3 - 24*c^2*d^4*e^3*f^2*m^3 -
720*c^2*d^6*e*g^2*m - 1680*a^2*d^2*e^5*g^2*m - 1680*b^2*d^2*e^5*f^2*m - 1008*b^2*d^4*e^3*g^2*m - 1008*c^2*d^4
*e^3*f^2*m + 1284*a*b*d^3*e^4*g^2*m^2 - 2552*a*c*d^2*e^5*f^2*m^2 + 216*a*b*d^3*e^4*g^2*m^3 - 716*a*c*d^2*e^5*f
^2*m^3 + 12*a*b*d^3*e^4*g^2*m^4 - 88*a*c*d^2*e^5*f^2*m^4 - 4*a*c*d^2*e^5*f^2*m^5 - 624*a*c*d^4*e^3*g^2*m^2 + 1
284*b*c*d^3*e^4*f^2*m^2 - 48*a*c*d^4*e^3*g^2*m^3 + 216*b*c*d^3*e^4*f^2*m^3 + 12*b*c*d^3*e^4*f^2*m^4 + 240*b*c*
d^5*e^2*g^2*m^2 + 1284*b^2*d^3*e^4*f*g*m^2 + 216*b^2*d^3*e^4*f*g*m^3 + 12*b^2*d^3*e^4*f*g*m^4 + 240*c^2*d^5*e^
2*f*g*m^2 + 5040*a*b*d*e^6*f^2*m + 5040*a^2*d*e^6*f*g*m + 5508*a*b*d*e^6*f^2*m^2 + 2350*a*b*d*e^6*f^2*m^3 + 49
0*a*b*d*e^6*f^2*m^4 + 50*a*b*d*e^6*f^2*m^5 + 2*a*b*d*e^6*f^2*m^6 + 2520*a*b*d^3*e^4*g^2*m - 3360*a*c*d^2*e^5*f
^2*m - 2016*a*c*d^4*e^3*g^2*m + 2520*b*c*d^3*e^4*f^2*m + 1680*b*c*d^5*e^2*g^2*m + 5508*a^2*d*e^6*f*g*m^2 + 235
0*a^2*d*e^6*f*g*m^3 + 490*a^2*d*e^6*f*g*m^4 + 50*a^2*d*e^6*f*g*m^5 + 2*a^2*d*e^6*f*g*m^6 + 2520*b^2*d^3*e^4*f*
g*m + 1680*c^2*d^5*e^2*f*g*m - 5104*a*b*d^2*e^5*f*g*m^2 - 1432*a*b*d^2*e^5*f*g*m^3 - 176*a*b*d^2*e^5*f*g*m^4 -
8*a*b*d^2*e^5*f*g*m^5 + 2568*a*c*d^3*e^4*f*g*m^2 + 432*a*c*d^3*e^4*f*g*m^3 + 24*a*c*d^3*e^4*f*g*m^4 - 1248*b*
c*d^4*e^3*f*g*m^2 - 96*b*c*d^4*e^3*f*g*m^3 - 6720*a*b*d^2*e^5*f*g*m + 5040*a*c*d^3*e^4*f*g*m - 4032*b*c*d^4*e^
3*f*g*m))/(e^7*(13068*m + 13132*m^2 + 6769*m^3 + 1960*m^4 + 322*m^5 + 28*m^6 + m^7 + 5040)) + (x^3*(d + e*x)^m
*(3*m + m^2 + 2)*(840*a^2*e^4*g^2 + 840*b^2*e^4*f^2 + 638*a^2*e^4*g^2*m + 638*b^2*e^4*f^2*m - 120*c^2*d^4*g^2*
m + 179*a^2*e^4*g^2*m^2 + 179*b^2*e^4*f^2*m^2 + 22*a^2*e^4*g^2*m^3 + 22*b^2*e^4*f^2*m^3 + a^2*e^4*g^2*m^4 + b^
2*e^4*f^2*m^4 + 1680*a*c*e^4*f^2 + 1276*a*c*e^4*f^2*m - 52*b^2*d^2*e^2*g^2*m^2 - 52*c^2*d^2*e^2*f^2*m^2 - 4*b^
2*d^2*e^2*g^2*m^3 - 4*c^2*d^2*e^2*f^2*m^3 + 358*a*c*e^4*f^2*m^2 + 44*a*c*e^4*f^2*m^3 + 2*a*c*e^4*f^2*m^4 + 336
0*a*b*e^4*f*g - 168*b^2*d^2*e^2*g^2*m - 168*c^2*d^2*e^2*f^2*m + 2552*a*b*e^4*f*g*m - 104*a*c*d^2*e^2*g^2*m^2 -
8*a*c*d^2*e^2*g^2*m^3 + 420*a*b*d*e^3*g^2*m + 420*b*c*d*e^3*f^2*m + 280*b*c*d^3*e*g^2*m + 716*a*b*e^4*f*g*m^2
+ 88*a*b*e^4*f*g*m^3 + 4*a*b*e^4*f*g*m^4 + 420*b^2*d*e^3*f*g*m + 280*c^2*d^3*e*f*g*m + 214*a*b*d*e^3*g^2*m^2
+ 36*a*b*d*e^3*g^2*m^3 + 2*a*b*d*e^3*g^2*m^4 - 336*a*c*d^2*e^2*g^2*m + 214*b*c*d*e^3*f^2*m^2 + 36*b*c*d*e^3*f^
2*m^3 + 2*b*c*d*e^3*f^2*m^4 + 40*b*c*d^3*e*g^2*m^2 + 214*b^2*d*e^3*f*g*m^2 + 36*b^2*d*e^3*f*g*m^3 + 2*b^2*d*e^
3*f*g*m^4 + 40*c^2*d^3*e*f*g*m^2 - 208*b*c*d^2*e^2*f*g*m^2 - 16*b*c*d^2*e^2*f*g*m^3 + 840*a*c*d*e^3*f*g*m + 42
8*a*c*d*e^3*f*g*m^2 + 72*a*c*d*e^3*f*g*m^3 + 4*a*c*d*e^3*f*g*m^4 - 672*b*c*d^2*e^2*f*g*m))/(e^4*(13068*m + 131
32*m^2 + 6769*m^3 + 1960*m^4 + 322*m^5 + 28*m^6 + m^7 + 5040)) + (x^5*(d + e*x)^m*(50*m + 35*m^2 + 10*m^3 + m^
4 + 24)*(42*b^2*e^2*g^2 + 42*c^2*e^2*f^2 + 13*b^2*e^2*g^2*m - 6*c^2*d^2*g^2*m + 13*c^2*e^2*f^2*m + b^2*e^2*g^2
*m^2 + c^2*e^2*f^2*m^2 + 84*a*c*e^2*g^2 + 26*a*c*e^2*g^2*m + 2*a*c*e^2*g^2*m^2 + 168*b*c*e^2*f*g + 14*b*c*d*e*
g^2*m + 52*b*c*e^2*f*g*m + 14*c^2*d*e*f*g*m + 2*b*c*d*e*g^2*m^2 + 4*b*c*e^2*f*g*m^2 + 2*c^2*d*e*f*g*m^2))/(e^2
*(13068*m + 13132*m^2 + 6769*m^3 + 1960*m^4 + 322*m^5 + 28*m^6 + m^7 + 5040)) + (x^2*(m + 1)*(d + e*x)^m*(360*
c^2*d^5*g^2*m + 5040*a*b*e^5*f^2 + 5040*a^2*e^5*f*g + 5508*a*b*e^5*f^2*m + 5508*a^2*e^5*f*g*m + 156*b^2*d^3*e^
2*g^2*m^2 + 156*c^2*d^3*e^2*f^2*m^2 + 12*b^2*d^3*e^2*g^2*m^3 + 12*c^2*d^3*e^2*f^2*m^3 + 2350*a*b*e^5*f^2*m^2 +
490*a*b*e^5*f^2*m^3 + 50*a*b*e^5*f^2*m^4 + 2*a*b*e^5*f^2*m^5 + 840*a^2*d*e^4*g^2*m + 840*b^2*d*e^4*f^2*m + 23
50*a^2*e^5*f*g*m^2 + 490*a^2*e^5*f*g*m^3 + 50*a^2*e^5*f*g*m^4 + 2*a^2*e^5*f*g*m^5 + 638*a^2*d*e^4*g^2*m^2 + 63
8*b^2*d*e^4*f^2*m^2 + 179*a^2*d*e^4*g^2*m^3 + 179*b^2*d*e^4*f^2*m^3 + 22*a^2*d*e^4*g^2*m^4 + 22*b^2*d*e^4*f^2*
m^4 + a^2*d*e^4*g^2*m^5 + b^2*d*e^4*f^2*m^5 + 504*b^2*d^3*e^2*g^2*m + 504*c^2*d^3*e^2*f^2*m - 642*a*b*d^2*e^3*
g^2*m^2 - 108*a*b*d^2*e^3*g^2*m^3 - 6*a*b*d^2*e^3*g^2*m^4 + 312*a*c*d^3*e^2*g^2*m^2 - 642*b*c*d^2*e^3*f^2*m^2
+ 24*a*c*d^3*e^2*g^2*m^3 - 108*b*c*d^2*e^3*f^2*m^3 - 6*b*c*d^2*e^3*f^2*m^4 - 642*b^2*d^2*e^3*f*g*m^2 - 108*b^2
*d^2*e^3*f*g*m^3 - 6*b^2*d^2*e^3*f*g*m^4 + 1680*a*c*d*e^4*f^2*m - 840*b*c*d^4*e*g^2*m - 840*c^2*d^4*e*f*g*m -
1260*a*b*d^2*e^3*g^2*m + 1276*a*c*d*e^4*f^2*m^2 + 358*a*c*d*e^4*f^2*m^3 + 44*a*c*d*e^4*f^2*m^4 + 2*a*c*d*e^4*f
^2*m^5 + 1008*a*c*d^3*e^2*g^2*m - 1260*b*c*d^2*e^3*f^2*m - 120*b*c*d^4*e*g^2*m^2 - 1260*b^2*d^2*e^3*f*g*m - 12
0*c^2*d^4*e*f*g*m^2 - 1284*a*c*d^2*e^3*f*g*m^2 - 216*a*c*d^2*e^3*f*g*m^3 - 12*a*c*d^2*e^3*f*g*m^4 + 624*b*c*d^
3*e^2*f*g*m^2 + 48*b*c*d^3*e^2*f*g*m^3 + 3360*a*b*d*e^4*f*g*m + 2552*a*b*d*e^4*f*g*m^2 + 716*a*b*d*e^4*f*g*m^3
+ 88*a*b*d*e^4*f*g*m^4 + 4*a*b*d*e^4*f*g*m^5 - 2520*a*c*d^2*e^3*f*g*m + 2016*b*c*d^3*e^2*f*g*m))/(e^5*(13068*
m + 13132*m^2 + 6769*m^3 + 1960*m^4 + 322*m^5 + 28*m^6 + m^7 + 5040)) + (c^2*g^2*x^7*(d + e*x)^m*(1764*m + 162
4*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720))/(13068*m + 13132*m^2 + 6769*m^3 + 1960*m^4 + 322*m^5 + 28*m^6
+ m^7 + 5040) + (x^4*(d + e*x)^m*(11*m + 6*m^2 + m^3 + 6)*(30*c^2*d^3*g^2*m + 420*a*b*e^3*g^2 + 420*b*c*e^3*f
^2 + 420*b^2*e^3*f*g + 214*a*b*e^3*g^2*m + 214*b*c*e^3*f^2*m + 214*b^2*e^3*f*g*m + 36*a*b*e^3*g^2*m^2 + 2*a*b*
e^3*g^2*m^3 + 36*b*c*e^3*f^2*m^2 + 2*b*c*e^3*f^2*m^3 + 42*b^2*d*e^2*g^2*m + 42*c^2*d*e^2*f^2*m + 36*b^2*e^3*f*
g*m^2 + 2*b^2*e^3*f*g*m^3 + 840*a*c*e^3*f*g + 13*b^2*d*e^2*g^2*m^2 + 13*c^2*d*e^2*f^2*m^2 + b^2*d*e^2*g^2*m^3
+ c^2*d*e^2*f^2*m^3 + 428*a*c*e^3*f*g*m + 84*a*c*d*e^2*g^2*m - 70*b*c*d^2*e*g^2*m + 72*a*c*e^3*f*g*m^2 + 4*a*c
*e^3*f*g*m^3 - 70*c^2*d^2*e*f*g*m + 26*a*c*d*e^2*g^2*m^2 + 2*a*c*d*e^2*g^2*m^3 - 10*b*c*d^2*e*g^2*m^2 - 10*c^2
*d^2*e*f*g*m^2 + 168*b*c*d*e^2*f*g*m + 52*b*c*d*e^2*f*g*m^2 + 4*b*c*d*e^2*f*g*m^3))/(e^3*(13068*m + 13132*m^2
+ 6769*m^3 + 1960*m^4 + 322*m^5 + 28*m^6 + m^7 + 5040)) + (c*g*x^6*(d + e*x)^m*(14*b*e*g + 14*c*e*f + 2*b*e*g*
m + c*d*g*m + 2*c*e*f*m)*(274*m + 225*m^2 + 85*m^3 + 15*m^4 + m^5 + 120))/(e*(13068*m + 13132*m^2 + 6769*m^3 +
1960*m^4 + 322*m^5 + 28*m^6 + m^7 + 5040))