lst=[["(a+I*a*cot(d*x+c))^n","x",1],
["(e*cot(d*x+c))^(5/2)*(a+a*cot(d*x+c))","x",1],
["(e*cot(d*x+c))^(3/2)*(a+a*cot(d*x+c))","x",1],
["(e*cot(d*x+c))^(1/2)*(a+a*cot(d*x+c))","x",1],
["(a+a*cot(d*x+c))/(e*cot(d*x+c))^(1/2)","x",1],
["(a+a*cot(d*x+c))/(e*cot(d*x+c))^(3/2)","x",1],
["(a+a*cot(d*x+c))/(e*cot(d*x+c))^(5/2)","x",1],
["(e*cot(d*x+c))^(5/2)*(a+a*cot(d*x+c))^2","x",1],
["(e*cot(d*x+c))^(3/2)*(a+a*cot(d*x+c))^2","x",1],
["(e*cot(d*x+c))^(1/2)*(a+a*cot(d*x+c))^2","x",1],
["(a+a*cot(d*x+c))^2/(e*cot(d*x+c))^(1/2)","x",1],
["(a+a*cot(d*x+c))^2/(e*cot(d*x+c))^(3/2)","x",1],
["(a+a*cot(d*x+c))^2/(e*cot(d*x+c))^(5/2)","x",1],
["(a+a*cot(d*x+c))^2/(e*cot(d*x+c))^(7/2)","x",1],
["(e*cot(d*x+c))^(5/2)*(a+a*cot(d*x+c))^3","x",1],
["(e*cot(d*x+c))^(3/2)*(a+a*cot(d*x+c))^3","x",1],
["(e*cot(d*x+c))^(1/2)*(a+a*cot(d*x+c))^3","x",1],
["(a+a*cot(d*x+c))^3/(e*cot(d*x+c))^(1/2)","x",1],
["(a+a*cot(d*x+c))^3/(e*cot(d*x+c))^(3/2)","x",1],
["(a+a*cot(d*x+c))^3/(e*cot(d*x+c))^(5/2)","x",1],
["(a+a*cot(d*x+c))^3/(e*cot(d*x+c))^(7/2)","x",1],
["(a+a*cot(d*x+c))^3/(e*cot(d*x+c))^(9/2)","x",1],
["(e*cot(d*x+c))^(5/2)/(a+a*cot(d*x+c))","x",1],
["(e*cot(d*x+c))^(3/2)/(a+a*cot(d*x+c))","x",1],
["(e*cot(d*x+c))^(1/2)/(a+a*cot(d*x+c))","x",1],
["1/(e*cot(d*x+c))^(1/2)/(a+a*cot(d*x+c))","x",1],
["1/(e*cot(d*x+c))^(3/2)/(a+a*cot(d*x+c))","x",1],
["1/(e*cot(d*x+c))^(5/2)/(a+a*cot(d*x+c))","x",1],
["(e*cot(d*x+c))^(5/2)/(a+a*cot(d*x+c))^2","x",1],
["(e*cot(d*x+c))^(3/2)/(a+a*cot(d*x+c))^2","x",1],
["(e*cot(d*x+c))^(1/2)/(a+a*cot(d*x+c))^2","x",1],
["1/(e*cot(d*x+c))^(1/2)/(a+a*cot(d*x+c))^2","x",1],
["1/(e*cot(d*x+c))^(3/2)/(a+a*cot(d*x+c))^2","x",1],
["1/(e*cot(d*x+c))^(5/2)/(a+a*cot(d*x+c))^2","x",1],
["(e*cot(d*x+c))^(5/2)/(a+a*cot(d*x+c))^3","x",1],
["(e*cot(d*x+c))^(3/2)/(a+a*cot(d*x+c))^3","x",1],
["(e*cot(d*x+c))^(1/2)/(a+a*cot(d*x+c))^3","x",1],
["1/(e*cot(d*x+c))^(1/2)/(a+a*cot(d*x+c))^3","x",1],
["1/(e*cot(d*x+c))^(3/2)/(a+a*cot(d*x+c))^3","x",1],
["1/(e*cot(d*x+c))^(5/2)/(a+a*cot(d*x+c))^3","x",1],
["cot(x)^2*(1+cot(x))^(1/2)","x",1],
["cot(x)*(1+cot(x))^(1/2)","x",1],
["cot(x)^2*(1+cot(x))^(3/2)","x",1],
["cot(x)*(1+cot(x))^(3/2)","x",1],
["cot(x)^2/(1+cot(x))^(1/2)","x",1],
["cot(x)/(1+cot(x))^(1/2)","x",1],
["cot(x)^2/(1+cot(x))^(3/2)","x",1],
["cot(x)/(1+cot(x))^(3/2)","x",1],
["cot(x)^2/(1+cot(x))^(5/2)","x",1],
["cot(x)/(1+cot(x))^(5/2)","x",1],
["(e*cot(d*x+c))^(3/2)*(a+b*cot(d*x+c))","x",1],
["(e*cot(d*x+c))^(1/2)*(a+b*cot(d*x+c))","x",1],
["(a+b*cot(d*x+c))/(e*cot(d*x+c))^(1/2)","x",1],
["(a+b*cot(d*x+c))/(e*cot(d*x+c))^(3/2)","x",1],
["(a+b*cot(d*x+c))/(e*cot(d*x+c))^(5/2)","x",1],
["(e*cot(d*x+c))^(3/2)*(a+b*cot(d*x+c))^2","x",1],
["(e*cot(d*x+c))^(1/2)*(a+b*cot(d*x+c))^2","x",1],
["(a+b*cot(d*x+c))^2/(e*cot(d*x+c))^(1/2)","x",1],
["(a+b*cot(d*x+c))^2/(e*cot(d*x+c))^(3/2)","x",1],
["(a+b*cot(d*x+c))^2/(e*cot(d*x+c))^(5/2)","x",1],
["(a+b*cot(d*x+c))^2/(e*cot(d*x+c))^(7/2)","x",1],
["(e*cot(d*x+c))^(3/2)*(a+b*cot(d*x+c))^3","x",1],
["(e*cot(d*x+c))^(1/2)*(a+b*cot(d*x+c))^3","x",1],
["(a+b*cot(d*x+c))^3/(e*cot(d*x+c))^(1/2)","x",1],
["(a+b*cot(d*x+c))^3/(e*cot(d*x+c))^(3/2)","x",1],
["(a+b*cot(d*x+c))^3/(e*cot(d*x+c))^(5/2)","x",1],
["(a+b*cot(d*x+c))^3/(e*cot(d*x+c))^(7/2)","x",1],
["(a+b*cot(d*x+c))^3/(e*cot(d*x+c))^(9/2)","x",1],
["(e*cot(d*x+c))^(5/2)/(a+b*cot(d*x+c))","x",1],
["(e*cot(d*x+c))^(3/2)/(a+b*cot(d*x+c))","x",1],
["(e*cot(d*x+c))^(1/2)/(a+b*cot(d*x+c))","x",1],
["1/(e*cot(d*x+c))^(1/2)/(a+b*cot(d*x+c))","x",1],
["1/(e*cot(d*x+c))^(3/2)/(a+b*cot(d*x+c))","x",1],
["1/(e*cot(d*x+c))^(5/2)/(a+b*cot(d*x+c))","x",1],
["(e*cot(d*x+c))^(7/2)/(a+b*cot(d*x+c))^2","x",1],
["(e*cot(d*x+c))^(5/2)/(a+b*cot(d*x+c))^2","x",1],
["(e*cot(d*x+c))^(3/2)/(a+b*cot(d*x+c))^2","x",1],
["(e*cot(d*x+c))^(1/2)/(a+b*cot(d*x+c))^2","x",1],
["1/(e*cot(d*x+c))^(1/2)/(a+b*cot(d*x+c))^2","x",1],
["1/(e*cot(d*x+c))^(3/2)/(a+b*cot(d*x+c))^2","x",1],
["(e*cot(d*x+c))^(9/2)/(a+b*cot(d*x+c))^3","x",1],
["(e*cot(d*x+c))^(7/2)/(a+b*cot(d*x+c))^3","x",1],
["(e*cot(d*x+c))^(5/2)/(a+b*cot(d*x+c))^3","x",1],
["(e*cot(d*x+c))^(3/2)/(a+b*cot(d*x+c))^3","x",1],
["(e*cot(d*x+c))^(1/2)/(a+b*cot(d*x+c))^3","x",1],
["1/(e*cot(d*x+c))^(1/2)/(a+b*cot(d*x+c))^3","x",1],
["1/(e*cot(d*x+c))^(3/2)/(a+b*cot(d*x+c))^3","x",1],
["(a+b*cot(d*x+c))^n","x",1],
["(a+b*cot(f*x+e))^m*(d*tan(f*x+e))^n","x",1],
["(1+I*cot(d*x+c))/(a+b*cot(d*x+c))^(1/2)","x",1],
["(1-I*cot(d*x+c))/(a+b*cot(d*x+c))^(1/2)","x",1],
["(A+B*cot(d*x+c))/(a+b*cot(d*x+c))","x",1],
["(A+B*cot(d*x+c))/(a+b*cot(d*x+c))^2","x",1],
["(A+B*cot(d*x+c))/(a+b*cot(d*x+c))^3","x",1],
["(a+b*cot(d*x+c))^(5/2)*(A+B*cot(d*x+c))","x",1],
["(a+b*cot(d*x+c))^(3/2)*(A+B*cot(d*x+c))","x",1],
["(a+b*cot(d*x+c))^(1/2)*(A+B*cot(d*x+c))","x",1],
["(-a+b*cot(d*x+c))*(a+b*cot(d*x+c))^(5/2)","x",1],
["(-a+b*cot(d*x+c))*(a+b*cot(d*x+c))^(3/2)","x",1],
["(-a+b*cot(d*x+c))*(a+b*cot(d*x+c))^(1/2)","x",1],
["(A+B*cot(d*x+c))/(a+b*cot(d*x+c))^(1/2)","x",1],
["(A+B*cot(d*x+c))/(a+b*cot(d*x+c))^(3/2)","x",1],
["(A+B*cot(d*x+c))/(a+b*cot(d*x+c))^(5/2)","x",1],
["(-a+b*cot(d*x+c))/(a+b*cot(d*x+c))^(1/2)","x",1],
["(-a+b*cot(d*x+c))/(a+b*cot(d*x+c))^(3/2)","x",1],
["(-a+b*cot(d*x+c))/(a+b*cot(d*x+c))^(5/2)","x",1]]