lst=[["x^2*(c*x^2+b*x+a)/(-d*x+1)^(1/2)/(d*x+1)^(1/2)","x",1],
["x*(c*x^2+b*x+a)/(-d*x+1)^(1/2)/(d*x+1)^(1/2)","x",1],
["(c*x^2+b*x+a)/(-d*x+1)^(1/2)/(d*x+1)^(1/2)","x",1],
["(c*x^2+b*x+a)/x/(-d*x+1)^(1/2)/(d*x+1)^(1/2)","x",1],
["(c*x^2+b*x+a)/x^2/(-d*x+1)^(1/2)/(d*x+1)^(1/2)","x",1],
["(c*x^2+b*x+a)/x^3/(-d*x+1)^(1/2)/(d*x+1)^(1/2)","x",1],
["(c*x^2+b*x+a)/x^4/(-d*x+1)^(1/2)/(d*x+1)^(1/2)","x",1],
["(c*x^2+b*x+a)/x^5/(-d*x+1)^(1/2)/(d*x+1)^(1/2)","x",1],
["x^2*(c*x^2+b*x+a)/(d*x-1)^(1/2)/(d*x+1)^(1/2)","x",1],
["x*(c*x^2+b*x+a)/(d*x-1)^(1/2)/(d*x+1)^(1/2)","x",1],
["(c*x^2+b*x+a)/(d*x-1)^(1/2)/(d*x+1)^(1/2)","x",1],
["(c*x^2+b*x+a)/x/(d*x-1)^(1/2)/(d*x+1)^(1/2)","x",1],
["(c*x^2+b*x+a)/x^2/(d*x-1)^(1/2)/(d*x+1)^(1/2)","x",1],
["(c*x^2+b*x+a)/x^3/(d*x-1)^(1/2)/(d*x+1)^(1/2)","x",1],
["(c*x^2+b*x+a)/x^4/(d*x-1)^(1/2)/(d*x+1)^(1/2)","x",1],
["(c*x^2+b*x+a)/x^5/(d*x-1)^(1/2)/(d*x+1)^(1/2)","x",1],
["x^5*(c*x^4+b*x^2+a)/(-e*x+d)^(1/2)/(e*x+d)^(1/2)","x",1],
["x^3*(c*x^4+b*x^2+a)/(-e*x+d)^(1/2)/(e*x+d)^(1/2)","x",1],
["x*(c*x^4+b*x^2+a)/(-e*x+d)^(1/2)/(e*x+d)^(1/2)","x",1],
["(c*x^4+b*x^2+a)/x/(-e*x+d)^(1/2)/(e*x+d)^(1/2)","x",1],
["(c*x^4+b*x^2+a)/x^3/(-e*x+d)^(1/2)/(e*x+d)^(1/2)","x",1],
["(c*x^4+b*x^2+a)/x^5/(-e*x+d)^(1/2)/(e*x+d)^(1/2)","x",1],
["(c*x^4+b*x^2+a)/x^7/(-e*x+d)^(1/2)/(e*x+d)^(1/2)","x",1],
["x^2*(c*x^4+b*x^2+a)/(-e*x+d)^(1/2)/(e*x+d)^(1/2)","x",1],
["(c*x^4+b*x^2+a)/(-e*x+d)^(1/2)/(e*x+d)^(1/2)","x",1],
["(c*x^4+b*x^2+a)/x^2/(-e*x+d)^(1/2)/(e*x+d)^(1/2)","x",1],
["(c*x^4+b*x^2+a)/x^4/(-e*x+d)^(1/2)/(e*x+d)^(1/2)","x",1],
["(c*x^4+b*x^2+a)/x^6/(-e*x+d)^(1/2)/(e*x+d)^(1/2)","x",1],
["(c*x^4+b*x^2+a)/x^8/(-e*x+d)^(1/2)/(e*x+d)^(1/2)","x",1],
["(c*x^4+b*x^2+a)/x^10/(-e*x+d)^(1/2)/(e*x+d)^(1/2)","x",1],
["(-d*x+1)^(1/2)*(d*x+1)^(1/2)*(f*x+e)^3*(C*x^2+B*x+A)","x",1],
["(-d*x+1)^(1/2)*(d*x+1)^(1/2)*(f*x+e)^2*(C*x^2+B*x+A)","x",1],
["(-d*x+1)^(1/2)*(d*x+1)^(1/2)*(f*x+e)*(C*x^2+B*x+A)","x",1],
["(-d*x+1)^(1/2)*(d*x+1)^(1/2)*(C*x^2+B*x+A)","x",1],
["(-d*x+1)^(1/2)*(d*x+1)^(1/2)*(C*x^2+B*x+A)/(f*x+e)","x",1],
["(-d*x+1)^(1/2)*(d*x+1)^(1/2)*(C*x^2+B*x+A)/(f*x+e)^2","x",1],
["(-d*x+1)^(1/2)*(d*x+1)^(1/2)*(C*x^2+B*x+A)/(f*x+e)^3","x",1],
["(f*x+e)^3*(C*x^2+B*x+A)/(-d*x+1)^(1/2)/(d*x+1)^(1/2)","x",1],
["(f*x+e)^2*(C*x^2+B*x+A)/(-d*x+1)^(1/2)/(d*x+1)^(1/2)","x",1],
["(f*x+e)*(C*x^2+B*x+A)/(-d*x+1)^(1/2)/(d*x+1)^(1/2)","x",1],
["(C*x^2+B*x+A)/(-d*x+1)^(1/2)/(d*x+1)^(1/2)","x",1],
["(C*x^2+B*x+A)/(-d*x+1)^(1/2)/(d*x+1)^(1/2)/(f*x+e)","x",1],
["(C*x^2+B*x+A)/(-d*x+1)^(1/2)/(d*x+1)^(1/2)/(f*x+e)^2","x",1],
["(C*x^2+B*x+A)/(-d*x+1)^(1/2)/(d*x+1)^(1/2)/(f*x+e)^3","x",1],
["(b*x+a)^(1/2)*(-b*c*x+a*c)^(1/2)*(f*x+e)^3*(C*x^2+B*x+A)","x",1],
["(b*x+a)^(1/2)*(-b*c*x+a*c)^(1/2)*(f*x+e)^2*(C*x^2+B*x+A)","x",1],
["(b*x+a)^(1/2)*(-b*c*x+a*c)^(1/2)*(f*x+e)*(C*x^2+B*x+A)","x",1],
["(b*x+a)^(1/2)*(-b*c*x+a*c)^(1/2)*(C*x^2+B*x+A)","x",1],
["(b*x+a)^(1/2)*(-b*c*x+a*c)^(1/2)*(C*x^2+B*x+A)/(f*x+e)","x",1],
["(b*x+a)^(1/2)*(-b*c*x+a*c)^(1/2)*(C*x^2+B*x+A)/(f*x+e)^2","x",1],
["(b*x+a)^(1/2)*(-b*c*x+a*c)^(1/2)*(C*x^2+B*x+A)/(f*x+e)^3","x",1],
["(f*x+e)^3*(C*x^2+B*x+A)/(b*x+a)^(1/2)/(-b*c*x+a*c)^(1/2)","x",1],
["(f*x+e)^2*(C*x^2+B*x+A)/(b*x+a)^(1/2)/(-b*c*x+a*c)^(1/2)","x",1],
["(f*x+e)*(C*x^2+B*x+A)/(b*x+a)^(1/2)/(-b*c*x+a*c)^(1/2)","x",1],
["(C*x^2+B*x+A)/(b*x+a)^(1/2)/(-b*c*x+a*c)^(1/2)","x",1],
["(C*x^2+B*x+A)/(b*x+a)^(1/2)/(-b*c*x+a*c)^(1/2)/(f*x+e)","x",1],
["(C*x^2+B*x+A)/(b*x+a)^(1/2)/(-b*c*x+a*c)^(1/2)/(f*x+e)^2","x",1],
["(C*x^2+B*x+A)/(b*x+a)^(1/2)/(-b*c*x+a*c)^(1/2)/(f*x+e)^3","x",1],
["(c*x^2+b*x+a)/(-1+x)^(1/2)/(1+x)^(1/2)/(e*x+d)^3","x",1],
["(x^2+3*x+4)/(-3+x)/(-2+x)/(-1+x)","x",1],
["(C*x^2+B*x+A)/(b*x+a)/(d*x+c)/(f*x+e)","x",1],
["(d*x+c)*(f*x+e)*(C*x^2+B*x+A)/(b*x+a)^(1/2)","x",1],
["(b*x+a)^2*(d*x+c)^(1/2)*(f*x+e)^(1/2)*(C*x^2+B*x+A)","x",1],
["(b*x+a)*(d*x+c)^(1/2)*(f*x+e)^(1/2)*(C*x^2+B*x+A)","x",1],
["(d*x+c)^(1/2)*(f*x+e)^(1/2)*(C*x^2+B*x+A)","x",1],
["(d*x+c)^(1/2)*(f*x+e)^(1/2)*(C*x^2+B*x+A)/(b*x+a)","x",1],
["(d*x+c)^(1/2)*(f*x+e)^(1/2)*(C*x^2+B*x+A)/(b*x+a)^2","x",1],
["(d*x+c)^(1/2)*(f*x+e)^(1/2)*(C*x^2+B*x+A)/(b*x+a)^3","x",1],
["(b*x+a)^2*(d*x+c)^(1/2)*(C*x^2+B*x+A)/(f*x+e)^(1/2)","x",1],
["(b*x+a)*(d*x+c)^(1/2)*(C*x^2+B*x+A)/(f*x+e)^(1/2)","x",1],
["(d*x+c)^(1/2)*(C*x^2+B*x+A)/(f*x+e)^(1/2)","x",1],
["(d*x+c)^(1/2)*(C*x^2+B*x+A)/(b*x+a)/(f*x+e)^(1/2)","x",1],
["(d*x+c)^(1/2)*(C*x^2+B*x+A)/(b*x+a)^2/(f*x+e)^(1/2)","x",1],
["(d*x+c)^(1/2)*(C*x^2+B*x+A)/(b*x+a)^3/(f*x+e)^(1/2)","x",1],
["(d*x+c)^(1/2)*(C*x^2+B*x+A)/(b*x+a)^4/(f*x+e)^(1/2)","x",1],
["(b*x+a)^2*(C*x^2+B*x+A)/(d*x+c)^(1/2)/(f*x+e)^(1/2)","x",1],
["(b*x+a)*(C*x^2+B*x+A)/(d*x+c)^(1/2)/(f*x+e)^(1/2)","x",1],
["(C*x^2+B*x+A)/(d*x+c)^(1/2)/(f*x+e)^(1/2)","x",1],
["(C*x^2+B*x+A)/(b*x+a)/(d*x+c)^(1/2)/(f*x+e)^(1/2)","x",1],
["(C*x^2+B*x+A)/(b*x+a)^2/(d*x+c)^(1/2)/(f*x+e)^(1/2)","x",1],
["(C*x^2+B*x+A)/(b*x+a)^3/(d*x+c)^(1/2)/(f*x+e)^(1/2)","x",1],
["(C*x^2+B*x+A)/(b*x+a)^4/(d*x+c)^(1/2)/(f*x+e)^(1/2)","x",1],
["(b*x+a)^(1/2)*(d*x+c)^(1/2)*(f*x+e)^(1/2)*(C*x^2+B*x+A)","x",1],
["(d*x+c)^(1/2)*(f*x+e)^(1/2)*(C*x^2+B*x+A)/(b*x+a)^(1/2)","x",1],
["(d*x+c)^(1/2)*(f*x+e)^(1/2)*(C*x^2+B*x+A)/(b*x+a)^(3/2)","x",1],
["(d*x+c)^(1/2)*(f*x+e)^(1/2)*(C*x^2+B*x+A)/(b*x+a)^(5/2)","x",1],
["(d*x+c)^(1/2)*(f*x+e)^(1/2)*(C*x^2+B*x+A)/(b*x+a)^(7/2)","x",1],
["(d*x+c)^(1/2)*(f*x+e)^(1/2)*(C*x^2+B*x+A)/(b*x+a)^(9/2)","x",1],
["(b*x+a)^(3/2)*(d*x+c)^(1/2)*(C*x^2+B*x+A)/(f*x+e)^(1/2)","x",1],
["(b*x+a)^(1/2)*(d*x+c)^(1/2)*(C*x^2+B*x+A)/(f*x+e)^(1/2)","x",1],
["(d*x+c)^(1/2)*(C*x^2+B*x+A)/(b*x+a)^(1/2)/(f*x+e)^(1/2)","x",1],
["(d*x+c)^(1/2)*(C*x^2+B*x+A)/(b*x+a)^(3/2)/(f*x+e)^(1/2)","x",1],
["(d*x+c)^(1/2)*(C*x^2+B*x+A)/(b*x+a)^(5/2)/(f*x+e)^(1/2)","x",1],
["(d*x+c)^(1/2)*(C*x^2+B*x+A)/(b*x+a)^(7/2)/(f*x+e)^(1/2)","x",1],
["(b*x+a)^(3/2)*(C*x^2+B*x+A)/(d*x+c)^(1/2)/(f*x+e)^(1/2)","x",1],
["(b*x+a)^(1/2)*(C*x^2+B*x+A)/(d*x+c)^(1/2)/(f*x+e)^(1/2)","x",1],
["(C*x^2+B*x+A)/(b*x+a)^(1/2)/(d*x+c)^(1/2)/(f*x+e)^(1/2)","x",1],
["(C*x^2+B*x+A)/(b*x+a)^(3/2)/(d*x+c)^(1/2)/(f*x+e)^(1/2)","x",1],
["(C*x^2+B*x+A)/(b*x+a)^(5/2)/(d*x+c)^(1/2)/(f*x+e)^(1/2)","x",1],
["(C*x^2+B*x+A)/(b*x+a)^(7/2)/(d*x+c)^(1/2)/(f*x+e)^(1/2)","x",1]]