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