lst=[["(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^6+b*x^3+a)","x",1],
["(c*x^6+b*x^3+a)^(3/2)*(C*x^6+B*x^3+A)","x",1],
["(c*x^6+b*x^3+a)^(1/2)*(C*x^6+B*x^3+A)","x",1],
["(C*x^6+B*x^3+A)/(c*x^6+b*x^3+a)^(1/2)","x",1],
["(C*x^6+B*x^3+A)/(c*x^6+b*x^3+a)^(3/2)","x",1],
["1/(a+b*x^n+c*x^(2*n))","x",1],
["(e*x+d)/(a+b*x^n+c*x^(2*n))","x",1],
["(f*x^2+e*x+d)/(a+b*x^n+c*x^(2*n))","x",1],
["(g*x^3+f*x^2+e*x+d)/(a+b*x^n+c*x^(2*n))","x",1],
["1/(a+b*x^n+c*x^(2*n))^2","x",1],
["(e*x+d)/(a+b*x^n+c*x^(2*n))^2","x",1],
["(f*x^2+e*x+d)/(a+b*x^n+c*x^(2*n))^2","x",1],
["(g*x^3+f*x^2+e*x+d)/(a+b*x^n+c*x^(2*n))^2","x",1],
["(x^9+7*x^5+x^4-1)/(x^8+6*x^4-7)","x",1],
["(-a*h*x^(-1+1/2*n)+c*f*x^(-1+n)+c*g*x^(-1+2*n)+c*h*x^(-1+5/2*n))/(a+b*x^n+c*x^(2*n))^(3/2)","x",1],
["(a+b*x^n+c*x^(2*n))^p*(a+b*(n*p+n+1)*x^n+c*(1+2*n*(p+1))*x^(2*n))","x",1],
["(A+B*x^n+C*x^(2*n))/(a+b*x^n+c*x^(2*n))","x",1],
["(A+B*x^n+C*x^(2*n))/(a+b*x^n+c*x^(2*n))^2","x",1],
["(A+B*x^n+C*x^(2*n))/(a+b*x^n+c*x^(2*n))^3","x",1],
["(A+B*x^n+C*x^(2*n)+D*x^(3*n))/(a+b*x^n+c*x^(2*n))","x",1],
["(A+B*x^n+C*x^(2*n)+D*x^(3*n))/(a+b*x^n+c*x^(2*n))^2","x",1],
["(A+B*x^n+C*x^(2*n)+D*x^(3*n))/(a+b*x^n+c*x^(2*n))^3","x",1],
["(a+b*x^n+c*x^(2*n))^(3/2)*(A+B*x^n+C*x^(2*n))","x",1],
["(a+b*x^n+c*x^(2*n))^(1/2)*(A+B*x^n+C*x^(2*n))","x",1],
["(A+B*x^n+C*x^(2*n))/(a+b*x^n+c*x^(2*n))^(1/2)","x",1],
["(A+B*x^n+C*x^(2*n))/(a+b*x^n+c*x^(2*n))^(3/2)","x",1],
["(A+B*x^n+C*x^(2*n))/(a+b*x^n+c*x^(2*n))^(5/2)","x",1],
["(c*x^2+b*x+a)^p*(D*x^3+C*x^2+B*x+A)","x",1],
["(c*x^4+b*x^2+a)^p*(D*x^6+C*x^4+B*x^2+A)","x",1],
["(c*x^6+b*x^3+a)^p*(D*x^9+C*x^6+B*x^3+A)","x",1],
["(c*x^8+b*x^4+a)^p*(D*x^12+C*x^8+B*x^4+A)","x",1],
["(a+b*x^n+c*x^(2*n))^p","x",1],
["(A+B*x^n)*(a+b*x^n+c*x^(2*n))^p","x",1],
["(a+b*x^n+c*x^(2*n))^p*(A+B*x^n+C*x^(2*n))","x",1],
["(a+b*x^n+c*x^(2*n))^p*(A+B*x^n+C*x^(2*n)+D*x^(3*n))","x",1],
["(a+b*x^n+c*x^(2*n))^p*(A+C*x^(2*n))","x",1]]