lst=[["(d+e*(F^((b*x+a)*c))^n)^2","x",1],
["d+e*(F^((b*x+a)*c))^n","x",1],
["1/(d+e*(F^((b*x+a)*c))^n)","x",1],
["1/(d+e*(F^((b*x+a)*c))^n)^2","x",1],
["(d+e*(F^((b*x+a)*c))^n)^(3/2)","x",1],
["(d+e*(F^((b*x+a)*c))^n)^(1/2)","x",1],
["1/(d+e*(F^((b*x+a)*c))^n)^(1/2)","x",1],
["1/(d+e*(F^((b*x+a)*c))^n)^(3/2)","x",1],
["1/(d+e*(F^((b*x+a)*c))^n)^(5/2)","x",1],
["(d+e*(F^((b*x+a)*c))^n)^(4/3)","x",1],
["(d+e*(F^((b*x+a)*c))^n)^(2/3)","x",1],
["(d+e*(F^((b*x+a)*c))^n)^(1/3)","x",1],
["1/(d+e*(F^((b*x+a)*c))^n)^(1/3)","x",1],
["1/(d+e*(F^((b*x+a)*c))^n)^(2/3)","x",1],
["1/(d+e*(F^((b*x+a)*c))^n)^(4/3)","x",1],
["1/(d+e*(F^((b*x+a)*c))^n)^(5/3)","x",1],
["1/(d+e*(F^((b*x+a)*c))^n)^(7/3)","x",1],
["(d+e*(F^((b*x+a)*c))^n)^p","x",1],
["(d+e*(F^((b*x+a)*c))^n)*(g*x+f)^3","x",1],
["(d+e*(F^((b*x+a)*c))^n)*(g*x+f)^2","x",1],
["(d+e*(F^((b*x+a)*c))^n)*(g*x+f)","x",1],
["d+e*(F^((b*x+a)*c))^n","x",1],
["(d+e*(F^((b*x+a)*c))^n)/(g*x+f)","x",1],
["(d+e*(F^((b*x+a)*c))^n)/(g*x+f)^2","x",1],
["(d+e*(F^((b*x+a)*c))^n)/(g*x+f)^3","x",1],
["(d+e*(F^((b*x+a)*c))^n)^2*(g*x+f)^3","x",1],
["(d+e*(F^((b*x+a)*c))^n)^2*(g*x+f)^2","x",1],
["(d+e*(F^((b*x+a)*c))^n)^2*(g*x+f)","x",1],
["(d+e*(F^((b*x+a)*c))^n)^2","x",1],
["(d+e*(F^((b*x+a)*c))^n)^2/(g*x+f)","x",1],
["(d+e*(F^((b*x+a)*c))^n)^2/(g*x+f)^2","x",1],
["(d+e*(F^((b*x+a)*c))^n)^2/(g*x+f)^3","x",1],
["(g*x+f)^3/(d+e*(F^((b*x+a)*c))^n)","x",1],
["(g*x+f)^2/(d+e*(F^((b*x+a)*c))^n)","x",1],
["(g*x+f)/(d+e*(F^((b*x+a)*c))^n)","x",1],
["1/(d+e*(F^((b*x+a)*c))^n)","x",1],
["1/(d+e*(F^((b*x+a)*c))^n)/(g*x+f)","x",0],
["1/(d+e*(F^((b*x+a)*c))^n)/(g*x+f)^2","x",0],
["(g*x+f)^3/(d+e*(F^((b*x+a)*c))^n)^2","x",1],
["(g*x+f)^2/(d+e*(F^((b*x+a)*c))^n)^2","x",1],
["(g*x+f)/(d+e*(F^((b*x+a)*c))^n)^2","x",1],
["1/(d+e*(F^((b*x+a)*c))^n)^2","x",1],
["1/(d+e*(F^((b*x+a)*c))^n)^2/(g*x+f)","x",0],
["1/(d+e*(F^((b*x+a)*c))^n)^2/(g*x+f)^2","x",0],
["(d+e*(F^((b*x+a)*c))^n)^(5/2)*(g*x+f)","x",1],
["(d+e*(F^((b*x+a)*c))^n)^(3/2)*(g*x+f)","x",1],
["(d+e*(F^((b*x+a)*c))^n)^(1/2)*(g*x+f)","x",1],
["(g*x+f)/(d+e*(F^((b*x+a)*c))^n)^(1/2)","x",1],
["(g*x+f)/(d+e*(F^((b*x+a)*c))^n)^(3/2)","x",1],
["(g*x+f)/(d+e*(F^((b*x+a)*c))^n)^(5/2)","x",1],
["(g*x+f)/(d+e*(F^((b*x+a)*c))^n)^(7/2)","x",1],
["(d+e*(F^((b*x+a)*c))^n)^p*(g*x+f)^m","x",0],
["(d+e*(F^((b*x+a)*c))^n)^2*(g*x+f)^m","x",1],
["(d+e*(F^((b*x+a)*c))^n)*(g*x+f)^m","x",1],
["(g*x+f)^m/(d+e*(F^((b*x+a)*c))^n)","x",0],
["(g*x+f)^m/(d+e*(F^((b*x+a)*c))^n)^2","x",0],
["exp(x)/(4+6*exp(x))","x",1],
["exp(x)/(a+b*exp(x))","x",1],
["exp(d*x)/(a+b*exp(d*x+c))","x",1],
["exp(d*x+c)/(a+b*exp(d*x+c))","x",1],
["exp(x)*(a+b*exp(x))^p","x",1],
["exp(d*x)*(a+b*exp(d*x+c))^p","x",1],
["exp(d*x+c)*(a+b*exp(d*x+c))^p","x",1],
["F^x/(a+b*F^x)","x",1],
["F^(d*x)/(a+b*F^(d*x+c))","x",1],
["F^(d*x+c)/(a+b*F^(d*x+c))","x",1],
["F^x*(a+b*F^x)^p","x",1],
["F^(d*x)*(a+b*F^(d*x+c))^p","x",1],
["F^(d*x+c)*(a+b*F^(d*x+c))^p","x",1],
["exp(x)^n*(a+b*exp(x)^n)^p","x",1],
["exp(n*x)*(a+b*exp(x)^n)^p","x",1],
["(F^(e*(d*x+c)))^n*(a+b*(F^(e*(d*x+c)))^n)^p","x",1],
["(a+b*(F^(e*(d*x+c)))^n)^p*(G^(h*(g*x+f)))^(d*e*n*log(F)/g/h/log(G))","x",1],
["exp(2*x)/(a+b*exp(x))","x",1],
["exp(2*x)/(a+b*exp(x))^2","x",1],
["exp(2*x)/(a+b*exp(x))^3","x",1],
["exp(2*x)/(a+b*exp(x))^4","x",1],
["exp(4*x)/(a+b*exp(2*x))","x",1],
["exp(4*x)/(a+b*exp(2*x))^2","x",1],
["exp(4*x)/(a+b*exp(2*x))^3","x",1],
["exp(4*x)/(a+b*exp(2*x))^4","x",1],
["exp(4*x)/(a+b*exp(2*x))^(2/3)","x",1],
["(a+b*exp(n*x))/exp(n*x)","x",1],
["(a+b*exp(n*x))^2/exp(n*x)","x",1],
["(a+b*exp(n*x))^3/exp(n*x)","x",1],
["1/exp(n*x)/(a+b*exp(n*x))","x",1],
["1/exp(n*x)/(a+b*exp(n*x))^2","x",1],
["1/exp(n*x)/(a+b*exp(n*x))^3","x",1],
["f^(b*x+a)/(c+d*f^(2*b*x+e))","x",1],
["f^(2*b*x+a)/(c+d*f^(2*b*x+e))","x",1],
["f^(3*b*x+a)/(c+d*f^(2*b*x+e))","x",1],
["f^(4*b*x+a)/(c+d*f^(2*b*x+e))","x",1],
["f^(5*b*x+a)/(c+d*f^(2*b*x+e))","x",1],
["exp(x)/(1+exp(2*x))","x",1],
["exp(x)/(1-exp(2*x))","x",1],
["exp(x)*x/(1-exp(2*x))","x",1],
["exp(x)*x^2/(1-exp(2*x))","x",1],
["exp(x)*x^3/(1-exp(2*x))","x",1],
["f^x/(a+b*f^(2*x))","x",1],
["f^x*x/(a+b*f^(2*x))","x",1],
["f^x*x^2/(a+b*f^(2*x))","x",1],
["f^x*x^3/(a+b*f^(2*x))","x",1],
["f^x/(a+b*f^(2*x))^2","x",1],
["f^x*x/(a+b*f^(2*x))^2","x",1],
["f^x*x^2/(a+b*f^(2*x))^2","x",1],
["f^x*x^3/(a+b*f^(2*x))^2","x",1],
["f^x/(a+b*f^(2*x))^3","x",1],
["f^x*x/(a+b*f^(2*x))^3","x",1],
["f^x*x^2/(a+b*f^(2*x))^3","x",1],
["1/(b/(f^x)+a*f^x)","x",1],
["x/(b/(f^x)+a*f^x)","x",1],
["x^2/(b/(f^x)+a*f^x)","x",1],
["x^3/(b/(f^x)+a*f^x)","x",1],
["1/(b/(f^x)+a*f^x)^2","x",1],
["x/(b/(f^x)+a*f^x)^2","x",1],
["x^2/(b/(f^x)+a*f^x)^2","x",1],
["x^3/(b/(f^x)+a*f^x)^2","x",1],
["1/(b/(f^x)+a*f^x)^3","x",1],
["x/(b/(f^x)+a*f^x)^3","x",1],
["x^2/(b/(f^x)+a*f^x)^3","x",1],
["f^(c*x^2+b*x+a)*g^(f*x^2+e*x+d)","x",1],
["F^(e*(d*x+c))*(a+b*G^(h*(g*x+f)))^n","x",1],
["F^(e*(d*x+c))*H^(t*(s*x+r))/(a+b*F^(e*(d*x+c)))","x",1],
["F^(e*(d*x+f))*H^(t*(s*x+r))/(a+b*F^(e*(d*x+c)))","x",1]]