lst:=[[(b*tan(f*x+e)^2)^(5/2),x,1],
[(b*tan(f*x+e)^2)^(3/2),x,1],
[(b*tan(f*x+e)^2)^(1/2),x,1],
[1/(b*tan(f*x+e)^2)^(1/2),x,1],
[1/(b*tan(f*x+e)^2)^(3/2),x,1],
[1/(b*tan(f*x+e)^2)^(5/2),x,1],
[(b*tan(f*x+e)^3)^(5/2),x,1],
[(b*tan(f*x+e)^3)^(3/2),x,1],
[(b*tan(f*x+e)^3)^(1/2),x,1],
[1/(b*tan(f*x+e)^3)^(1/2),x,1],
[1/(b*tan(f*x+e)^3)^(3/2),x,1],
[1/(b*tan(f*x+e)^3)^(5/2),x,1],
[(b*tan(f*x+e)^4)^(5/2),x,1],
[(b*tan(f*x+e)^4)^(3/2),x,1],
[(b*tan(f*x+e)^4)^(1/2),x,1],
[1/(b*tan(f*x+e)^4)^(1/2),x,1],
[1/(b*tan(f*x+e)^4)^(3/2),x,1],
[1/(b*tan(f*x+e)^4)^(5/2),x,1],
[(b*tan(f*x+e)^n)^(5/2),x,1],
[(b*tan(f*x+e)^n)^(3/2),x,1],
[(b*tan(f*x+e)^n)^(1/2),x,1],
[1/(b*tan(f*x+e)^n)^(1/2),x,1],
[1/(b*tan(f*x+e)^n)^(3/2),x,1],
[1/(b*tan(f*x+e)^n)^(5/2),x,1],
[(b*tan(f*x+e)^n)^p,x,1],
[(b*tan(f*x+e)^2)^p,x,1],
[(b*tan(f*x+e)^3)^p,x,1],
[(b*tan(f*x+e)^4)^p,x,1],
[(b*tan(f*x+e)^n)^(1/n),x,1],
[sin(f*x+e)^5*(a+b*tan(f*x+e)^2),x,1],
[sin(f*x+e)^3*(a+b*tan(f*x+e)^2),x,1],
[sin(f*x+e)*(a+b*tan(f*x+e)^2),x,1],
[csc(f*x+e)*(a+b*tan(f*x+e)^2),x,1],
[csc(f*x+e)^3*(a+b*tan(f*x+e)^2),x,1],
[csc(f*x+e)^5*(a+b*tan(f*x+e)^2),x,1],
[sin(f*x+e)^6*(a+b*tan(f*x+e)^2),x,1],
[sin(f*x+e)^4*(a+b*tan(f*x+e)^2),x,1],
[sin(f*x+e)^2*(a+b*tan(f*x+e)^2),x,1],
[a+b*tan(f*x+e)^2,x,1],
[csc(f*x+e)^2*(a+b*tan(f*x+e)^2),x,1],
[csc(f*x+e)^4*(a+b*tan(f*x+e)^2),x,1],
[csc(f*x+e)^6*(a+b*tan(f*x+e)^2),x,1],
[sin(f*x+e)^5*(a+b*tan(f*x+e)^2)^2,x,1],
[sin(f*x+e)^3*(a+b*tan(f*x+e)^2)^2,x,1],
[sin(f*x+e)*(a+b*tan(f*x+e)^2)^2,x,1],
[csc(f*x+e)*(a+b*tan(f*x+e)^2)^2,x,1],
[csc(f*x+e)^3*(a+b*tan(f*x+e)^2)^2,x,1],
[csc(f*x+e)^5*(a+b*tan(f*x+e)^2)^2,x,1],
[sin(f*x+e)^4*(a+b*tan(f*x+e)^2)^2,x,1],
[sin(f*x+e)^2*(a+b*tan(f*x+e)^2)^2,x,1],
[(a+b*tan(f*x+e)^2)^2,x,1],
[csc(f*x+e)^2*(a+b*tan(f*x+e)^2)^2,x,1],
[csc(f*x+e)^4*(a+b*tan(f*x+e)^2)^2,x,1],
[csc(f*x+e)^6*(a+b*tan(f*x+e)^2)^2,x,1],
[sin(f*x+e)^5/(a+b*tan(f*x+e)^2),x,1],
[sin(f*x+e)^3/(a+b*tan(f*x+e)^2),x,1],
[sin(f*x+e)/(a+b*tan(f*x+e)^2),x,1],
[csc(f*x+e)/(a+b*tan(f*x+e)^2),x,1],
[csc(f*x+e)^3/(a+b*tan(f*x+e)^2),x,1],
[csc(f*x+e)^5/(a+b*tan(f*x+e)^2),x,1],
[sin(f*x+e)^6/(a+b*tan(f*x+e)^2),x,1],
[sin(f*x+e)^4/(a+b*tan(f*x+e)^2),x,1],
[sin(f*x+e)^2/(a+b*tan(f*x+e)^2),x,1],
[1/(a+b*tan(f*x+e)^2),x,1],
[csc(f*x+e)^2/(a+b*tan(f*x+e)^2),x,1],
[csc(f*x+e)^4/(a+b*tan(f*x+e)^2),x,1],
[csc(f*x+e)^6/(a+b*tan(f*x+e)^2),x,1],
[sin(f*x+e)^5/(a+b*tan(f*x+e)^2)^2,x,1],
[sin(f*x+e)^3/(a+b*tan(f*x+e)^2)^2,x,1],
[sin(f*x+e)/(a+b*tan(f*x+e)^2)^2,x,1],
[csc(f*x+e)/(a+b*tan(f*x+e)^2)^2,x,1],
[csc(f*x+e)^3/(a+b*tan(f*x+e)^2)^2,x,1],
[csc(f*x+e)^5/(a+b*tan(f*x+e)^2)^2,x,1],
[sin(f*x+e)^4/(a+b*tan(f*x+e)^2)^2,x,1],
[sin(f*x+e)^2/(a+b*tan(f*x+e)^2)^2,x,1],
[1/(a+b*tan(f*x+e)^2)^2,x,1],
[csc(f*x+e)^2/(a+b*tan(f*x+e)^2)^2,x,1],
[csc(f*x+e)^4/(a+b*tan(f*x+e)^2)^2,x,1],
[csc(f*x+e)^6/(a+b*tan(f*x+e)^2)^2,x,1],
[sin(f*x+e)^5/(a+b*tan(f*x+e)^2)^3,x,1],
[sin(f*x+e)^3/(a+b*tan(f*x+e)^2)^3,x,1],
[sin(f*x+e)/(a+b*tan(f*x+e)^2)^3,x,1],
[csc(f*x+e)/(a+b*tan(f*x+e)^2)^3,x,1],
[csc(f*x+e)^3/(a+b*tan(f*x+e)^2)^3,x,1],
[csc(f*x+e)^5/(a+b*tan(f*x+e)^2)^3,x,1],
[sin(f*x+e)^4/(a+b*tan(f*x+e)^2)^3,x,1],
[sin(f*x+e)^2/(a+b*tan(f*x+e)^2)^3,x,1],
[1/(a+b*tan(f*x+e)^2)^3,x,1],
[csc(f*x+e)^2/(a+b*tan(f*x+e)^2)^3,x,1],
[csc(f*x+e)^4/(a+b*tan(f*x+e)^2)^3,x,1],
[csc(f*x+e)^6/(a+b*tan(f*x+e)^2)^3,x,1],
[sin(f*x+e)^5*(a+b*tan(f*x+e)^2)^(1/2),x,1],
[sin(f*x+e)^3*(a+b*tan(f*x+e)^2)^(1/2),x,1],
[sin(f*x+e)*(a+b*tan(f*x+e)^2)^(1/2),x,1],
[csc(f*x+e)*(a+b*tan(f*x+e)^2)^(1/2),x,1],
[csc(f*x+e)^3*(a+b*tan(f*x+e)^2)^(1/2),x,1],
[csc(f*x+e)^5*(a+b*tan(f*x+e)^2)^(1/2),x,1],
[sin(f*x+e)^4*(a+b*tan(f*x+e)^2)^(1/2),x,1],
[sin(f*x+e)^2*(a+b*tan(f*x+e)^2)^(1/2),x,1],
[(a+b*tan(f*x+e)^2)^(1/2),x,1],
[csc(f*x+e)^2*(a+b*tan(f*x+e)^2)^(1/2),x,1],
[csc(f*x+e)^4*(a+b*tan(f*x+e)^2)^(1/2),x,1],
[csc(f*x+e)^6*(a+b*tan(f*x+e)^2)^(1/2),x,1],
[sin(f*x+e)^5*(a+b*tan(f*x+e)^2)^(3/2),x,1],
[sin(f*x+e)^3*(a+b*tan(f*x+e)^2)^(3/2),x,1],
[sin(f*x+e)*(a+b*tan(f*x+e)^2)^(3/2),x,1],
[csc(f*x+e)*(a+b*tan(f*x+e)^2)^(3/2),x,1],
[csc(f*x+e)^3*(a+b*tan(f*x+e)^2)^(3/2),x,1],
[csc(f*x+e)^5*(a+b*tan(f*x+e)^2)^(3/2),x,1],
[sin(f*x+e)^4*(a+b*tan(f*x+e)^2)^(3/2),x,1],
[sin(f*x+e)^2*(a+b*tan(f*x+e)^2)^(3/2),x,1],
[(a+b*tan(f*x+e)^2)^(3/2),x,1],
[csc(f*x+e)^2*(a+b*tan(f*x+e)^2)^(3/2),x,1],
[csc(f*x+e)^4*(a+b*tan(f*x+e)^2)^(3/2),x,1],
[csc(f*x+e)^6*(a+b*tan(f*x+e)^2)^(3/2),x,1],
[sin(f*x+e)^5/(a+b*tan(f*x+e)^2)^(1/2),x,1],
[sin(f*x+e)^3/(a+b*tan(f*x+e)^2)^(1/2),x,1],
[sin(f*x+e)/(a+b*tan(f*x+e)^2)^(1/2),x,1],
[csc(f*x+e)/(a+b*tan(f*x+e)^2)^(1/2),x,1],
[csc(f*x+e)^3/(a+b*tan(f*x+e)^2)^(1/2),x,1],
[csc(f*x+e)^5/(a+b*tan(f*x+e)^2)^(1/2),x,1],
[sin(f*x+e)^4/(a+b*tan(f*x+e)^2)^(1/2),x,1],
[sin(f*x+e)^2/(a+b*tan(f*x+e)^2)^(1/2),x,1],
[1/(a+b*tan(f*x+e)^2)^(1/2),x,1],
[csc(f*x+e)^2/(a+b*tan(f*x+e)^2)^(1/2),x,1],
[csc(f*x+e)^4/(a+b*tan(f*x+e)^2)^(1/2),x,1],
[csc(f*x+e)^6/(a+b*tan(f*x+e)^2)^(1/2),x,1],
[sin(f*x+e)^5/(a+b*tan(f*x+e)^2)^(3/2),x,1],
[sin(f*x+e)^3/(a+b*tan(f*x+e)^2)^(3/2),x,1],
[sin(f*x+e)/(a+b*tan(f*x+e)^2)^(3/2),x,1],
[csc(f*x+e)/(a+b*tan(f*x+e)^2)^(3/2),x,1],
[csc(f*x+e)^3/(a+b*tan(f*x+e)^2)^(3/2),x,1],
[csc(f*x+e)^5/(a+b*tan(f*x+e)^2)^(3/2),x,1],
[sin(f*x+e)^4/(a+b*tan(f*x+e)^2)^(3/2),x,1],
[sin(f*x+e)^2/(a+b*tan(f*x+e)^2)^(3/2),x,1],
[1/(a+b*tan(f*x+e)^2)^(3/2),x,1],
[csc(f*x+e)^2/(a+b*tan(f*x+e)^2)^(3/2),x,1],
[csc(f*x+e)^4/(a+b*tan(f*x+e)^2)^(3/2),x,1],
[csc(f*x+e)^6/(a+b*tan(f*x+e)^2)^(3/2),x,1],
[sin(f*x+e)^5/(a+b*tan(f*x+e)^2)^(5/2),x,1],
[sin(f*x+e)^3/(a+b*tan(f*x+e)^2)^(5/2),x,1],
[sin(f*x+e)/(a+b*tan(f*x+e)^2)^(5/2),x,1],
[csc(f*x+e)/(a+b*tan(f*x+e)^2)^(5/2),x,1],
[csc(f*x+e)^3/(a+b*tan(f*x+e)^2)^(5/2),x,1],
[csc(f*x+e)^5/(a+b*tan(f*x+e)^2)^(5/2),x,1],
[sin(f*x+e)^4/(a+b*tan(f*x+e)^2)^(5/2),x,1],
[sin(f*x+e)^2/(a+b*tan(f*x+e)^2)^(5/2),x,1],
[1/(a+b*tan(f*x+e)^2)^(5/2),x,1],
[csc(f*x+e)^2/(a+b*tan(f*x+e)^2)^(5/2),x,1],
[csc(f*x+e)^4/(a+b*tan(f*x+e)^2)^(5/2),x,1],
[csc(f*x+e)^6/(a+b*tan(f*x+e)^2)^(5/2),x,1],
[(d*sin(f*x+e))^m*(b*tan(f*x+e)^2)^p,x,1],
[(d*sin(f*x+e))^m*(a+b*tan(f*x+e)^2)^p,x,1],
[sin(f*x+e)^5*(a+b*tan(f*x+e)^2)^p,x,1],
[sin(f*x+e)^3*(a+b*tan(f*x+e)^2)^p,x,1],
[sin(f*x+e)*(a+b*tan(f*x+e)^2)^p,x,1],
[csc(f*x+e)*(a+b*tan(f*x+e)^2)^p,x,1],
[csc(f*x+e)^3*(a+b*tan(f*x+e)^2)^p,x,1],
[sin(f*x+e)^2*(a+b*tan(f*x+e)^2)^p,x,1],
[(a+b*tan(f*x+e)^2)^p,x,1],
[csc(f*x+e)^2*(a+b*tan(f*x+e)^2)^p,x,1],
[csc(f*x+e)^4*(a+b*tan(f*x+e)^2)^p,x,1],
[csc(f*x+e)^6*(a+b*tan(f*x+e)^2)^p,x,1],
[(d*sin(f*x+e))^m*(b*(c*tan(f*x+e))^n)^p,x,1],
[sin(f*x+e)^2*(b*(c*tan(f*x+e))^n)^p,x,1],
[(b*(c*tan(f*x+e))^n)^p,x,1],
[csc(f*x+e)^2*(b*(c*tan(f*x+e))^n)^p,x,1],
[csc(f*x+e)^4*(b*(c*tan(f*x+e))^n)^p,x,1],
[csc(f*x+e)^6*(b*(c*tan(f*x+e))^n)^p,x,1],
[sin(f*x+e)^3*(b*(c*tan(f*x+e))^n)^p,x,1],
[sin(f*x+e)*(b*(c*tan(f*x+e))^n)^p,x,1],
[csc(f*x+e)*(b*(c*tan(f*x+e))^n)^p,x,1],
[csc(f*x+e)^3*(b*(c*tan(f*x+e))^n)^p,x,1],
[(d*sin(f*x+e))^m*(a+b*tan(f*x+e)^n)^p,x,0],
[(d*cos(f*x+e))^m*(b*tan(f*x+e)^2)^p,x,1],
[(d*cos(f*x+e))^m*(a+b*tan(f*x+e)^2)^p,x,1],
[(d*cos(f*x+e))^m*(b*(c*tan(f*x+e))^n)^p,x,1],
[(d*cos(f*x+e))^m*(a+b*(c*tan(f*x+e))^n)^p,x,0],
[(a+a*tan(d*x+c)^2)^4,x,1],
[(a+a*tan(d*x+c)^2)^3,x,1],
[(a+a*tan(d*x+c)^2)^2,x,1],
[1/(a+a*tan(d*x+c)^2),x,1],
[1/(a+a*tan(d*x+c)^2)^2,x,1],
[1/(a+a*tan(d*x+c)^2)^3,x,1],
[tan(f*x+e)^5*(a+b*tan(f*x+e)^2),x,1],
[tan(f*x+e)^3*(a+b*tan(f*x+e)^2),x,1],
[tan(f*x+e)*(a+b*tan(f*x+e)^2),x,1],
[cot(f*x+e)*(a+b*tan(f*x+e)^2),x,1],
[cot(f*x+e)^3*(a+b*tan(f*x+e)^2),x,1],
[cot(f*x+e)^5*(a+b*tan(f*x+e)^2),x,1],
[tan(f*x+e)^6*(a+b*tan(f*x+e)^2),x,1],
[tan(f*x+e)^4*(a+b*tan(f*x+e)^2),x,1],
[tan(f*x+e)^2*(a+b*tan(f*x+e)^2),x,1],
[a+b*tan(f*x+e)^2,x,1],
[cot(f*x+e)^2*(a+b*tan(f*x+e)^2),x,1],
[cot(f*x+e)^4*(a+b*tan(f*x+e)^2),x,1],
[cot(f*x+e)^6*(a+b*tan(f*x+e)^2),x,1],
[tan(f*x+e)^5*(a+b*tan(f*x+e)^2)^2,x,1],
[tan(f*x+e)^3*(a+b*tan(f*x+e)^2)^2,x,1],
[tan(f*x+e)*(a+b*tan(f*x+e)^2)^2,x,1],
[cot(f*x+e)*(a+b*tan(f*x+e)^2)^2,x,1],
[cot(f*x+e)^3*(a+b*tan(f*x+e)^2)^2,x,1],
[cot(f*x+e)^5*(a+b*tan(f*x+e)^2)^2,x,1],
[tan(f*x+e)^6*(a+b*tan(f*x+e)^2)^2,x,1],
[tan(f*x+e)^4*(a+b*tan(f*x+e)^2)^2,x,1],
[tan(f*x+e)^2*(a+b*tan(f*x+e)^2)^2,x,1],
[(a+b*tan(f*x+e)^2)^2,x,1],
[cot(f*x+e)^2*(a+b*tan(f*x+e)^2)^2,x,1],
[cot(f*x+e)^4*(a+b*tan(f*x+e)^2)^2,x,1],
[cot(f*x+e)^6*(a+b*tan(f*x+e)^2)^2,x,1],
[tan(f*x+e)^5/(a+b*tan(f*x+e)^2),x,1],
[tan(f*x+e)^3/(a+b*tan(f*x+e)^2),x,1],
[tan(f*x+e)/(a+b*tan(f*x+e)^2),x,1],
[cot(f*x+e)/(a+b*tan(f*x+e)^2),x,1],
[cot(f*x+e)^3/(a+b*tan(f*x+e)^2),x,1],
[cot(f*x+e)^5/(a+b*tan(f*x+e)^2),x,1],
[tan(f*x+e)^6/(a+b*tan(f*x+e)^2),x,1],
[tan(f*x+e)^4/(a+b*tan(f*x+e)^2),x,1],
[tan(f*x+e)^2/(a+b*tan(f*x+e)^2),x,1],
[1/(a+b*tan(f*x+e)^2),x,1],
[cot(f*x+e)^2/(a+b*tan(f*x+e)^2),x,1],
[cot(f*x+e)^4/(a+b*tan(f*x+e)^2),x,1],
[cot(f*x+e)^6/(a+b*tan(f*x+e)^2),x,1],
[tan(f*x+e)^5/(a+b*tan(f*x+e)^2)^2,x,1],
[tan(f*x+e)^3/(a+b*tan(f*x+e)^2)^2,x,1],
[tan(f*x+e)/(a+b*tan(f*x+e)^2)^2,x,1],
[cot(f*x+e)/(a+b*tan(f*x+e)^2)^2,x,1],
[cot(f*x+e)^3/(a+b*tan(f*x+e)^2)^2,x,1],
[cot(f*x+e)^5/(a+b*tan(f*x+e)^2)^2,x,1],
[tan(f*x+e)^6/(a+b*tan(f*x+e)^2)^2,x,1],
[tan(f*x+e)^4/(a+b*tan(f*x+e)^2)^2,x,1],
[tan(f*x+e)^2/(a+b*tan(f*x+e)^2)^2,x,1],
[1/(a+b*tan(f*x+e)^2)^2,x,1],
[cot(f*x+e)^2/(a+b*tan(f*x+e)^2)^2,x,1],
[cot(f*x+e)^4/(a+b*tan(f*x+e)^2)^2,x,1],
[cot(f*x+e)^6/(a+b*tan(f*x+e)^2)^2,x,1],
[tan(f*x+e)^5/(a+b*tan(f*x+e)^2)^3,x,1],
[tan(f*x+e)^3/(a+b*tan(f*x+e)^2)^3,x,1],
[tan(f*x+e)/(a+b*tan(f*x+e)^2)^3,x,1],
[cot(f*x+e)/(a+b*tan(f*x+e)^2)^3,x,1],
[cot(f*x+e)^3/(a+b*tan(f*x+e)^2)^3,x,1],
[cot(f*x+e)^5/(a+b*tan(f*x+e)^2)^3,x,1],
[tan(f*x+e)^6/(a+b*tan(f*x+e)^2)^3,x,1],
[tan(f*x+e)^4/(a+b*tan(f*x+e)^2)^3,x,1],
[tan(f*x+e)^2/(a+b*tan(f*x+e)^2)^3,x,1],
[1/(a+b*tan(f*x+e)^2)^3,x,1],
[cot(f*x+e)^2/(a+b*tan(f*x+e)^2)^3,x,1],
[cot(f*x+e)^4/(a+b*tan(f*x+e)^2)^3,x,1],
[cot(f*x+e)^6/(a+b*tan(f*x+e)^2)^3,x,1],
[(a+b*tan(d*x+c)^2)^4,x,1],
[(a+b*tan(d*x+c)^2)^3,x,1],
[(a+b*tan(d*x+c)^2)^2,x,1],
[a+b*tan(d*x+c)^2,x,1],
[1/(a+b*tan(d*x+c)^2),x,1],
[1/(a+b*tan(d*x+c)^2)^2,x,1],
[1/(a+b*tan(d*x+c)^2)^3,x,1],
[tan(x)^4*(a+a*tan(x)^2)^(1/2),x,1],
[tan(x)^3*(a+a*tan(x)^2)^(1/2),x,1],
[tan(x)^2*(a+a*tan(x)^2)^(1/2),x,1],
[tan(x)*(a+a*tan(x)^2)^(1/2),x,1],
[cot(x)*(a+a*tan(x)^2)^(1/2),x,1],
[cot(x)^2*(a+a*tan(x)^2)^(1/2),x,1],
[cot(x)^3*(a+a*tan(x)^2)^(1/2),x,1],
[cot(x)^4*(a+a*tan(x)^2)^(1/2),x,1],
[(a+a*tan(d*x+c)^2)^(1/2),x,1],
[tan(x)^3*(a+a*tan(x)^2)^(3/2),x,1],
[tan(x)^2*(a+a*tan(x)^2)^(3/2),x,1],
[tan(x)*(a+a*tan(x)^2)^(3/2),x,1],
[cot(x)*(a+a*tan(x)^2)^(3/2),x,1],
[cot(x)^2*(a+a*tan(x)^2)^(3/2),x,1],
[(a+a*tan(d*x+c)^2)^(3/2),x,1],
[(a+a*tan(d*x+c)^2)^(5/2),x,1],
[tan(x)^3/(a+a*tan(x)^2)^(1/2),x,1],
[tan(x)^2/(a+a*tan(x)^2)^(1/2),x,1],
[tan(x)/(a+a*tan(x)^2)^(1/2),x,1],
[cot(x)/(a+a*tan(x)^2)^(1/2),x,1],
[cot(x)^2/(a+a*tan(x)^2)^(1/2),x,1],
[tan(x)^3/(a+a*tan(x)^2)^(3/2),x,1],
[tan(x)^2/(a+a*tan(x)^2)^(3/2),x,1],
[tan(x)/(a+a*tan(x)^2)^(3/2),x,1],
[cot(x)/(a+a*tan(x)^2)^(3/2),x,1],
[cot(x)^2/(a+a*tan(x)^2)^(3/2),x,1],
[1/(a+a*tan(d*x+c)^2)^(1/2),x,1],
[1/(a+a*tan(d*x+c)^2)^(3/2),x,1],
[1/(a+a*tan(d*x+c)^2)^(5/2),x,1],
[1/(a+a*tan(d*x+c)^2)^(7/2),x,1],
[(1+tan(x)^2)^(3/2),x,1],
[(1+tan(x)^2)^(1/2),x,1],
[1/(1+tan(x)^2)^(1/2),x,1],
[(-1-tan(x)^2)^(3/2),x,1],
[(-1-tan(x)^2)^(1/2),x,1],
[1/(-1-tan(x)^2)^(1/2),x,1],
[tan(f*x+e)^5*(a+b*tan(f*x+e)^2)^(1/2),x,1],
[tan(f*x+e)^3*(a+b*tan(f*x+e)^2)^(1/2),x,1],
[tan(f*x+e)*(a+b*tan(f*x+e)^2)^(1/2),x,1],
[cot(f*x+e)*(a+b*tan(f*x+e)^2)^(1/2),x,1],
[cot(f*x+e)^3*(a+b*tan(f*x+e)^2)^(1/2),x,1],
[cot(f*x+e)^5*(a+b*tan(f*x+e)^2)^(1/2),x,1],
[tan(f*x+e)^6*(a+b*tan(f*x+e)^2)^(1/2),x,1],
[tan(f*x+e)^4*(a+b*tan(f*x+e)^2)^(1/2),x,1],
[tan(f*x+e)^2*(a+b*tan(f*x+e)^2)^(1/2),x,1],
[(a+b*tan(f*x+e)^2)^(1/2),x,1],
[cot(f*x+e)^2*(a+b*tan(f*x+e)^2)^(1/2),x,1],
[cot(f*x+e)^4*(a+b*tan(f*x+e)^2)^(1/2),x,1],
[cot(f*x+e)^6*(a+b*tan(f*x+e)^2)^(1/2),x,1],
[tan(f*x+e)^5*(a+b*tan(f*x+e)^2)^(3/2),x,1],
[tan(f*x+e)^3*(a+b*tan(f*x+e)^2)^(3/2),x,1],
[tan(f*x+e)*(a+b*tan(f*x+e)^2)^(3/2),x,1],
[cot(f*x+e)*(a+b*tan(f*x+e)^2)^(3/2),x,1],
[cot(f*x+e)^3*(a+b*tan(f*x+e)^2)^(3/2),x,1],
[cot(f*x+e)^5*(a+b*tan(f*x+e)^2)^(3/2),x,1],
[tan(f*x+e)^6*(a+b*tan(f*x+e)^2)^(3/2),x,1],
[tan(f*x+e)^4*(a+b*tan(f*x+e)^2)^(3/2),x,1],
[tan(f*x+e)^2*(a+b*tan(f*x+e)^2)^(3/2),x,1],
[(a+b*tan(f*x+e)^2)^(3/2),x,1],
[cot(f*x+e)^2*(a+b*tan(f*x+e)^2)^(3/2),x,1],
[cot(f*x+e)^4*(a+b*tan(f*x+e)^2)^(3/2),x,1],
[cot(f*x+e)^6*(a+b*tan(f*x+e)^2)^(3/2),x,1],
[(a+b*tan(d*x+c)^2)^(5/2),x,1],
[tan(f*x+e)^5/(a+b*tan(f*x+e)^2)^(1/2),x,1],
[tan(f*x+e)^3/(a+b*tan(f*x+e)^2)^(1/2),x,1],
[tan(f*x+e)/(a+b*tan(f*x+e)^2)^(1/2),x,1],
[cot(f*x+e)/(a+b*tan(f*x+e)^2)^(1/2),x,1],
[cot(f*x+e)^3/(a+b*tan(f*x+e)^2)^(1/2),x,1],
[cot(f*x+e)^5/(a+b*tan(f*x+e)^2)^(1/2),x,1],
[tan(f*x+e)^6/(a+b*tan(f*x+e)^2)^(1/2),x,1],
[tan(f*x+e)^4/(a+b*tan(f*x+e)^2)^(1/2),x,1],
[tan(f*x+e)^2/(a+b*tan(f*x+e)^2)^(1/2),x,1],
[1/(a+b*tan(f*x+e)^2)^(1/2),x,1],
[cot(f*x+e)^2/(a+b*tan(f*x+e)^2)^(1/2),x,1],
[cot(f*x+e)^4/(a+b*tan(f*x+e)^2)^(1/2),x,1],
[cot(f*x+e)^6/(a+b*tan(f*x+e)^2)^(1/2),x,1],
[tan(f*x+e)^5/(a+b*tan(f*x+e)^2)^(3/2),x,1],
[tan(f*x+e)^3/(a+b*tan(f*x+e)^2)^(3/2),x,1],
[tan(f*x+e)/(a+b*tan(f*x+e)^2)^(3/2),x,1],
[cot(f*x+e)/(a+b*tan(f*x+e)^2)^(3/2),x,1],
[cot(f*x+e)^3/(a+b*tan(f*x+e)^2)^(3/2),x,1],
[cot(f*x+e)^5/(a+b*tan(f*x+e)^2)^(3/2),x,1],
[tan(f*x+e)^6/(a+b*tan(f*x+e)^2)^(3/2),x,1],
[tan(f*x+e)^4/(a+b*tan(f*x+e)^2)^(3/2),x,1],
[tan(f*x+e)^2/(a+b*tan(f*x+e)^2)^(3/2),x,1],
[1/(a+b*tan(f*x+e)^2)^(3/2),x,1],
[cot(f*x+e)^2/(a+b*tan(f*x+e)^2)^(3/2),x,1],
[cot(f*x+e)^4/(a+b*tan(f*x+e)^2)^(3/2),x,1],
[cot(f*x+e)^6/(a+b*tan(f*x+e)^2)^(3/2),x,1],
[tan(f*x+e)^5/(a+b*tan(f*x+e)^2)^(5/2),x,1],
[tan(f*x+e)^3/(a+b*tan(f*x+e)^2)^(5/2),x,1],
[tan(f*x+e)/(a+b*tan(f*x+e)^2)^(5/2),x,1],
[cot(f*x+e)/(a+b*tan(f*x+e)^2)^(5/2),x,1],
[cot(f*x+e)^3/(a+b*tan(f*x+e)^2)^(5/2),x,1],
[cot(f*x+e)^5/(a+b*tan(f*x+e)^2)^(5/2),x,1],
[tan(f*x+e)^6/(a+b*tan(f*x+e)^2)^(5/2),x,1],
[tan(f*x+e)^4/(a+b*tan(f*x+e)^2)^(5/2),x,1],
[tan(f*x+e)^2/(a+b*tan(f*x+e)^2)^(5/2),x,1],
[1/(a+b*tan(f*x+e)^2)^(5/2),x,1],
[cot(f*x+e)^2/(a+b*tan(f*x+e)^2)^(5/2),x,1],
[cot(f*x+e)^4/(a+b*tan(f*x+e)^2)^(5/2),x,1],
[cot(f*x+e)^6/(a+b*tan(f*x+e)^2)^(5/2),x,1],
[(d*tan(f*x+e))^m*(b*tan(f*x+e)^2)^p,x,1],
[(d*tan(f*x+e))^m*(a+b*tan(f*x+e)^2)^p,x,1],
[tan(f*x+e)^5*(a+b*tan(f*x+e)^2)^p,x,1],
[tan(f*x+e)^3*(a+b*tan(f*x+e)^2)^p,x,1],
[tan(f*x+e)*(a+b*tan(f*x+e)^2)^p,x,1],
[cot(f*x+e)*(a+b*tan(f*x+e)^2)^p,x,1],
[cot(f*x+e)^3*(a+b*tan(f*x+e)^2)^p,x,1],
[cot(f*x+e)^5*(a+b*tan(f*x+e)^2)^p,x,1],
[tan(f*x+e)^6*(a+b*tan(f*x+e)^2)^p,x,1],
[tan(f*x+e)^4*(a+b*tan(f*x+e)^2)^p,x,1],
[tan(f*x+e)^2*(a+b*tan(f*x+e)^2)^p,x,1],
[(a+b*tan(f*x+e)^2)^p,x,1],
[cot(f*x+e)^2*(a+b*tan(f*x+e)^2)^p,x,1],
[cot(f*x+e)^4*(a+b*tan(f*x+e)^2)^p,x,1],
[cot(f*x+e)^6*(a+b*tan(f*x+e)^2)^p,x,1],
[(a+b*tan(d*x+c)^3)^4,x,1],
[(a+b*tan(d*x+c)^3)^3,x,1],
[(a+b*tan(d*x+c)^3)^2,x,1],
[a+b*tan(d*x+c)^3,x,1],
[1/(a+b*tan(d*x+c)^3),x,1],
[1/(a+b*tan(d*x+c)^3)^2,x,1],
[1/(1+tan(x)^3),x,1],
[(a+b*tan(d*x+c)^4)^4,x,1],
[(a+b*tan(d*x+c)^4)^3,x,1],
[(a+b*tan(d*x+c)^4)^2,x,1],
[a+b*tan(d*x+c)^4,x,1],
[1/(a+b*tan(d*x+c)^4),x,1],
[1/(a+b*tan(d*x+c)^4)^2,x,1],
[(a+b*tan(d*x+c)^4)^(1/2),x,1],
[1/(a+b*tan(d*x+c)^4)^(1/2),x,1],
[tan(x)^3*(a+b*tan(x)^4)^(1/2),x,1],
[tan(x)*(a+b*tan(x)^4)^(1/2),x,1],
[cot(x)*(a+b*tan(x)^4)^(1/2),x,1],
[tan(x)^2*(a+b*tan(x)^4)^(1/2),x,1],
[tan(x)^3*(a+b*tan(x)^4)^(3/2),x,1],
[tan(x)*(a+b*tan(x)^4)^(3/2),x,1],
[cot(x)*(a+b*tan(x)^4)^(3/2),x,1],
[cot(x)^3*(a+b*tan(x)^4)^(3/2),x,1],
[cot(x)^5*(a+b*tan(x)^4)^(3/2),x,1],
[tan(x)^3/(a+b*tan(x)^4)^(1/2),x,1],
[tan(x)/(a+b*tan(x)^4)^(1/2),x,1],
[cot(x)/(a+b*tan(x)^4)^(1/2),x,1],
[tan(x)^2/(a+b*tan(x)^4)^(1/2),x,1],
[tan(x)^3/(a+b*tan(x)^4)^(3/2),x,1],
[tan(x)/(a+b*tan(x)^4)^(3/2),x,1],
[cot(x)/(a+b*tan(x)^4)^(3/2),x,1],
[tan(x)^3/(a+b*tan(x)^4)^(5/2),x,1],
[tan(x)/(a+b*tan(x)^4)^(5/2),x,1],
[cot(x)/(a+b*tan(x)^4)^(5/2),x,1],
[(d*tan(f*x+e))^m*(a+b*(c*tan(f*x+e))^(1/2))^2,x,1],
[(d*tan(f*x+e))^m*(a+b*(c*tan(f*x+e))^(1/2)),x,1],
[(d*tan(f*x+e))^m/(a+b*(c*tan(f*x+e))^(1/2)),x,1],
[(d*tan(f*x+e))^m/(a+b*(c*tan(f*x+e))^(1/2))^2,x,1],
[(d*tan(f*x+e))^m*(b*(c*tan(f*x+e))^n)^p,x,1],
[tan(f*x+e)^2*(b*(c*tan(f*x+e))^n)^p,x,1],
[(b*(c*tan(f*x+e))^n)^p,x,1],
[cot(f*x+e)^2*(b*(c*tan(f*x+e))^n)^p,x,1],
[cot(f*x+e)^4*(b*(c*tan(f*x+e))^n)^p,x,1],
[cot(f*x+e)^6*(b*(c*tan(f*x+e))^n)^p,x,1],
[tan(f*x+e)^3*(b*(c*tan(f*x+e))^n)^p,x,1],
[tan(f*x+e)*(b*(c*tan(f*x+e))^n)^p,x,1],
[cot(f*x+e)*(b*(c*tan(f*x+e))^n)^p,x,1],
[cot(f*x+e)^3*(b*(c*tan(f*x+e))^n)^p,x,1],
[(d*tan(f*x+e))^m*(a+b*(c*tan(f*x+e))^n)^p,x,0],
[(d*cot(f*x+e))^m*(b*tan(f*x+e)^2)^p,x,1],
[(d*cot(f*x+e))^m*(a+b*tan(f*x+e)^2)^p,x,1],
[(d*cot(f*x+e))^m*(b*(c*tan(f*x+e))^n)^p,x,1],
[(d*cot(f*x+e))^m*(a+b*(c*tan(f*x+e))^n)^p,x,0],
[sec(d*x+c)^3*(a+b*tan(d*x+c)^2),x,1],
[sec(d*x+c)*(a+b*tan(d*x+c)^2),x,1],
[cos(d*x+c)*(a+b*tan(d*x+c)^2),x,1],
[cos(d*x+c)^3*(a+b*tan(d*x+c)^2),x,1],
[cos(d*x+c)^5*(a+b*tan(d*x+c)^2),x,1],
[cos(d*x+c)^7*(a+b*tan(d*x+c)^2),x,1],
[sec(d*x+c)^6*(a+b*tan(d*x+c)^2),x,1],
[sec(d*x+c)^4*(a+b*tan(d*x+c)^2),x,1],
[sec(d*x+c)^2*(a+b*tan(d*x+c)^2),x,1],
[cos(d*x+c)^2*(a+b*tan(d*x+c)^2),x,1],
[cos(d*x+c)^4*(a+b*tan(d*x+c)^2),x,1],
[cos(d*x+c)^6*(a+b*tan(d*x+c)^2),x,1],
[sec(d*x+c)^3*(a+b*tan(d*x+c)^2)^2,x,1],
[sec(d*x+c)*(a+b*tan(d*x+c)^2)^2,x,1],
[cos(d*x+c)*(a+b*tan(d*x+c)^2)^2,x,1],
[cos(d*x+c)^3*(a+b*tan(d*x+c)^2)^2,x,1],
[cos(d*x+c)^5*(a+b*tan(d*x+c)^2)^2,x,1],
[cos(d*x+c)^7*(a+b*tan(d*x+c)^2)^2,x,1],
[cos(d*x+c)^9*(a+b*tan(d*x+c)^2)^2,x,1],
[sec(d*x+c)^6*(a+b*tan(d*x+c)^2)^2,x,1],
[sec(d*x+c)^4*(a+b*tan(d*x+c)^2)^2,x,1],
[sec(d*x+c)^2*(a+b*tan(d*x+c)^2)^2,x,1],
[cos(d*x+c)^2*(a+b*tan(d*x+c)^2)^2,x,1],
[cos(d*x+c)^4*(a+b*tan(d*x+c)^2)^2,x,1],
[cos(d*x+c)^6*(a+b*tan(d*x+c)^2)^2,x,1],
[sec(d*x+c)^5/(a+b*tan(d*x+c)^2),x,1],
[sec(d*x+c)^3/(a+b*tan(d*x+c)^2),x,1],
[sec(d*x+c)/(a+b*tan(d*x+c)^2),x,1],
[cos(d*x+c)/(a+b*tan(d*x+c)^2),x,1],
[cos(d*x+c)^3/(a+b*tan(d*x+c)^2),x,1],
[cos(d*x+c)^5/(a+b*tan(d*x+c)^2),x,1],
[sec(d*x+c)^8/(a+b*tan(d*x+c)^2),x,1],
[sec(d*x+c)^6/(a+b*tan(d*x+c)^2),x,1],
[sec(d*x+c)^4/(a+b*tan(d*x+c)^2),x,1],
[sec(d*x+c)^2/(a+b*tan(d*x+c)^2),x,1],
[cos(d*x+c)^2/(a+b*tan(d*x+c)^2),x,1],
[cos(d*x+c)^4/(a+b*tan(d*x+c)^2),x,1],
[sec(d*x+c)^7/(a+b*tan(d*x+c)^2)^2,x,1],
[sec(d*x+c)^5/(a+b*tan(d*x+c)^2)^2,x,1],
[sec(d*x+c)^3/(a+b*tan(d*x+c)^2)^2,x,1],
[sec(d*x+c)/(a+b*tan(d*x+c)^2)^2,x,1],
[cos(d*x+c)/(a+b*tan(d*x+c)^2)^2,x,1],
[cos(d*x+c)^3/(a+b*tan(d*x+c)^2)^2,x,1],
[sec(d*x+c)^8/(a+b*tan(d*x+c)^2)^2,x,1],
[sec(d*x+c)^6/(a+b*tan(d*x+c)^2)^2,x,1],
[sec(d*x+c)^4/(a+b*tan(d*x+c)^2)^2,x,1],
[sec(d*x+c)^2/(a+b*tan(d*x+c)^2)^2,x,1],
[cos(d*x+c)^2/(a+b*tan(d*x+c)^2)^2,x,1],
[cos(d*x+c)^4/(a+b*tan(d*x+c)^2)^2,x,1],
[(d*sec(f*x+e))^m*(b*tan(f*x+e)^2)^p,x,1],
[(d*sec(f*x+e))^m*(a+b*tan(f*x+e)^2)^p,x,1],
[(d*sec(f*x+e))^m*(b*(c*tan(f*x+e))^n)^p,x,1],
[sec(f*x+e)^6*(b*(c*tan(f*x+e))^n)^p,x,1],
[sec(f*x+e)^4*(b*(c*tan(f*x+e))^n)^p,x,1],
[sec(f*x+e)^2*(b*(c*tan(f*x+e))^n)^p,x,1],
[(b*(c*tan(f*x+e))^n)^p,x,1],
[cos(f*x+e)^2*(b*(c*tan(f*x+e))^n)^p,x,1],
[sec(f*x+e)^3*(b*(c*tan(f*x+e))^n)^p,x,1],
[sec(f*x+e)*(b*(c*tan(f*x+e))^n)^p,x,1],
[cos(f*x+e)*(b*(c*tan(f*x+e))^n)^p,x,1],
[cos(f*x+e)^3*(b*(c*tan(f*x+e))^n)^p,x,1],
[(d*sec(f*x+e))^m*(a+b*(c*tan(f*x+e))^n)^p,x,0],
[sec(f*x+e)^3*(a+b*(c*tan(f*x+e))^n)^p,x,0],
[sec(f*x+e)*(a+b*(c*tan(f*x+e))^n)^p,x,0],
[cos(f*x+e)*(a+b*(c*tan(f*x+e))^n)^p,x,0],
[cos(f*x+e)^3*(a+b*(c*tan(f*x+e))^n)^p,x,0],
[sec(f*x+e)^6*(a+b*(c*tan(f*x+e))^n)^p,x,1],
[sec(f*x+e)^4*(a+b*(c*tan(f*x+e))^n)^p,x,1],
[sec(f*x+e)^2*(a+b*(c*tan(f*x+e))^n)^p,x,1],
[(a+b*(c*tan(f*x+e))^n)^p,x,0],
[cos(f*x+e)^2*(a+b*(c*tan(f*x+e))^n)^p,x,0],
[(d*csc(f*x+e))^m*(b*tan(f*x+e)^2)^p,x,1],
[(d*csc(f*x+e))^m*(a+b*tan(f*x+e)^2)^p,x,1],
[(d*csc(f*x+e))^m*(b*(c*tan(f*x+e))^n)^p,x,1],
[(d*csc(f*x+e))^m*(a+b*(c*tan(f*x+e))^n)^p,x,0]]