lst=[["(d*x^3+c)^(1/2)*(f*x^3+e)/(b*x^3+a)","x",1],
["(b*x^3+a)^(5/2)/(d*x^3+c)/(f*x^3+e)","x",1],
["1/(b*x^3+a)^(1/2)/(d*x^3+c)/(f*x^3+e)","x",1],
["(b*x^4+a)^(1/2)*(d*x^4+c)/(f*x^4+e)","x",1],
["(d*x^4+c)/(b*x^4+a)^(1/2)/(f*x^4+e)","x",1],
["(e+f/x^2)/(a+b/x^2)^(1/2)/(c+d/x^2)","x",1],
["(a+b*x^n)^p*(c+d*x^n)^q*(e+f*x^n)^2","x",1],
["(a+b*x^n)^p*(c+d*x^n)^q*(e+f*x^n)","x",1],
["(a+b*x^n)^p*(c+d*x^n)^q","x",1],
["(a+b*x^n)^p*(c+d*x^n)^q/(e+f*x^n)","x",0],
["(a+b*x^n)^p*(c+d*x^n)^q/(e+f*x^n)^2","x",0],
["(b*x^3+a)^p*(d*x^3+c)^q/(f*x^3+e)","x",0],
["(b*x^2+a)^p*(d*x^2+c)^q/(f*x^2+e)","x",0],
["(b*x+a)^p*(d*x+c)^q/(f*x+e)","x",1],
["(a+b/x)^p*(c+d/x)^q/(e+f/x)","x",1],
["(a+b/x^2)^p*(c+d/x^2)^q/(e+f/x^2)","x",0],
["(a+b/x^3)^p*(c+d/x^3)^q/(e+f/x^3)","x",0]]