lst=[["(D*x^3+C*x^2+B*x+A)/(b*x+a)^2/(d*x+c)^2","x",1],
["(D*x^3+C*x^2+B*x+A)/(a*c+(a*d+b*c)*x+b*d*x^2)^2","x",1],
["(c*x^2+b*x+a)^4*(C*x^2+A)","x",1],
["(c*x^2+b*x+a)^3*(C*x^2+A)","x",1],
["(c*x^2+b*x+a)^2*(C*x^2+A)","x",1],
["(c*x^2+b*x+a)*(C*x^2+A)","x",1],
["(C*x^2+A)/(c*x^2+b*x+a)","x",1],
["(C*x^2+A)/(c*x^2+b*x+a)^2","x",1],
["(C*x^2+A)/(c*x^2+b*x+a)^3","x",1],
["(C*x^2+A)/(c*x^2+b*x+a)^4","x",1],
["(x^2+1)/(x^2+x+1)","x",1],
["(-x^2+1)/(x^2+x+1)^2","x",1],
["(x^2-1)/(x^2-6*x+25)","x",1],
["(3*x^2-10)/(x^2-4*x+4)","x",1],
["(x^2+8)/(x^2-5*x+6)","x",1],
["(x^2+3*x-4)/(x^2-2*x-8)","x",1],
["(4*x^2+5*x+7)/(4*x^2+4*x+5)","x",1],
["(x^2-x+2)/(x^2+2*x-5)","x",1],
["(3*x^2+4*x+1)/(2*x^2+7*x+4)^2","x",1],
["(x^2+x+1)/(x^2+2*x+3)^2","x",1],
["(5*x^2+2*x-1)/(x^2+x+1)^4","x",1],
["(i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(c*x^2+b*x+a)^3","x",1],
["(m*x^8+l*x^7+k*x^6+j*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(c*x^2+b*x+a)","x",1],
["(x^3-3)/(x^2-6*x-7)","x",1],
["(x^3+1)/(x^2+4*x+13)^2","x",1],
["(c*x^2+b*x+a)^(5/2)*(C*x^2+A)","x",1],
["(c*x^2+b*x+a)^(3/2)*(C*x^2+A)","x",1],
["(c*x^2+b*x+a)^(1/2)*(C*x^2+A)","x",1],
["(C*x^2+A)/(c*x^2+b*x+a)^(1/2)","x",1],
["(C*x^2+A)/(c*x^2+b*x+a)^(3/2)","x",1],
["(C*x^2+A)/(c*x^2+b*x+a)^(5/2)","x",1],
["(C*x^2+A)/(c*x^2+b*x+a)^(7/2)","x",1],
["(C*x^2+A)/(c*x^2+b*x+a)^(9/2)","x",1],
["(e*x+d)^2*(g*x+f)/(c*x^2+b*x+a)^(5/2)","x",1],
["(d^2*f+d*(d*g+2*e*f)*x+e*(2*d*g+e*f)*x^2+e^2*g*x^3)/(c*x^2+b*x+a)^(5/2)","x",1],
["(e*x+d)^4*(g*x+f)/(c*x^2+b*x+a)^(7/2)","x",1],
["(d^4*f+d^3*(d*g+4*e*f)*x+2*d^2*e*(2*d*g+3*e*f)*x^2+2*d*e^2*(3*d*g+2*e*f)*x^3+e^3*(4*d*g+e*f)*x^4+e^4*g*x^5)/(c*x^2+b*x+a)^(7/2)","x",1]]