lst=[["x^2*(B*x+A)*(b*x^2+a*x)^(1/2)/(d*x+c)","x",1],
["x*(B*x+A)*(b*x^2+a*x)^(1/2)/(d*x+c)","x",1],
["(B*x+A)*(b*x^2+a*x)^(1/2)/(d*x+c)","x",1],
["(B*x+A)*(b*x^2+a*x)^(1/2)/x/(d*x+c)","x",1],
["(B*x+A)*(b*x^2+a*x)^(1/2)/x^2/(d*x+c)","x",1],
["(B*x+A)*(b*x^2+a*x)^(1/2)/x^3/(d*x+c)","x",1],
["(B*x+A)*(b*x^2+a*x)^(1/2)/x^4/(d*x+c)","x",1],
["x*(B*x+A)*(b*x^2+a*x)^(1/2)/(d*x+c)^2","x",1],
["(B*x+A)*(b*x^2+a*x)^(1/2)/(d*x+c)^2","x",1],
["(B*x+A)*(b*x^2+a*x)^(1/2)/x/(d*x+c)^2","x",1],
["(B*x+A)*(b*x^2+a*x)^(1/2)/x^2/(d*x+c)^2","x",1],
["(B*x+A)*(b*x^2+a*x)^(1/2)/x^3/(d*x+c)^2","x",1],
["(B*x+A)*(b*x^2+a*x)^(1/2)/x^4/(d*x+c)^2","x",1],
["x^2*(B*x+A)/(d*x+c)^(1/2)/(b*x^2+a*x)^(1/2)","x",1],
["x*(B*x+A)/(e*x+d)^(1/2)/(c*x^2+b*x)^(1/2)","x",1],
["(B*x+A)/(d*x+c)^(1/2)/(b*x^2+a*x)^(1/2)","x",1],
["(B*x+A)/x/(d*x+c)^(1/2)/(b*x^2+a*x)^(1/2)","x",1],
["(B*x+A)/x^2/(d*x+c)^(1/2)/(b*x^2+a*x)^(1/2)","x",1],
["(B*x+A)/x^2/(d*x+c)^(1/2)/(b*x^2+a*x)^(1/2)","x",1],
["(B*x+A)/x^2/(d*x+c)^(1/2)/(-b*x^2+a*x)^(1/2)","x",1],
["(B*x+A)/x^2/(-d*x+c)^(1/2)/(b*x^2+a*x)^(1/2)","x",1],
["(B*x+A)/x^2/(-d*x+c)^(1/2)/(-b*x^2+a*x)^(1/2)","x",1]]