lst=[["x^3*acoth(b*x+a)","x",1],
["x^2*acoth(b*x+a)","x",1],
["x*acoth(b*x+a)","x",1],
["acoth(b*x+a)","x",1],
["acoth(b*x+a)/x","x",1],
["acoth(b*x+a)/x^2","x",1],
["acoth(b*x+a)/x^3","x",1],
["x^3*acoth(b*x+a)^2","x",1],
["x^2*acoth(b*x+a)^2","x",1],
["x*acoth(b*x+a)^2","x",1],
["acoth(b*x+a)^2","x",1],
["acoth(b*x+a)^2/x","x",1],
["acoth(b*x+a)^2/x^2","x",1],
["acoth(b*x+a)^2/x^3","x",1],
["(b*x+a)*acoth(b*x+a)","x",1],
["(b*x+a)^2*acoth(b*x+a)","x",1],
["acoth(b*x+a)/(b*x+a)","x",1],
["acoth(b*x+a)/(b*x+a)^2","x",1],
["acoth(1+x)/(2+2*x)","x",1],
["acoth(b*x+a)/(a*d/b+d*x)","x",1],
["(f*x+e)^3*(a+b*acoth(d*x+c))","x",1],
["(f*x+e)^2*(a+b*acoth(d*x+c))","x",1],
["(f*x+e)*(a+b*acoth(d*x+c))","x",1],
["a+b*acoth(d*x+c)","x",1],
["(a+b*acoth(d*x+c))/(f*x+e)","x",1],
["(a+b*acoth(d*x+c))/(f*x+e)^2","x",1],
["(a+b*acoth(d*x+c))/(f*x+e)^3","x",1],
["(f*x+e)^2*(a+b*acoth(d*x+c))^2","x",1],
["(f*x+e)*(a+b*acoth(d*x+c))^2","x",1],
["(a+b*acoth(d*x+c))^2","x",1],
["(a+b*acoth(d*x+c))^2/(f*x+e)","x",1],
["(a+b*acoth(d*x+c))^2/(f*x+e)^2","x",1],
["(f*x+e)^2*(a+b*acoth(d*x+c))^3","x",1],
["(f*x+e)*(a+b*acoth(d*x+c))^3","x",1],
["(a+b*acoth(d*x+c))^3","x",1],
["(a+b*acoth(d*x+c))^3/(f*x+e)","x",1],
["(a+b*acoth(d*x+c))^3/(f*x+e)^2","x",1],
["(f*x+e)^m*(a+b*acoth(d*x+c))","x",1],
["(f*x+e)^m*(a+b*acoth(d*x+c))^2","x",0],
["(f*x+e)^m*(a+b*acoth(d*x+c))^3","x",0],
["acoth(b*x+a)/(d*x^3+c)","x",1],
["acoth(b*x+a)/(d*x^2+c)","x",1],
["acoth(b*x+a)/(d*x+c)","x",1],
["acoth(b*x+a)/(c+d/x)","x",1],
["acoth(b*x+a)/(c+d/x^2)","x",1],
["acoth(b*x+a)/(c+d*x^(1/2))","x",1],
["acoth(b*x+a)/(c+d/x^(1/2))","x",1],
["(a+b*acoth(d*x+c))/(e+f*x^(1/2))","x",1],
["(a+b*acoth(d*x+c))/(g*x^2+f*x+e)","x",1],
["(a+b*acoth(d*x+c))/(g*x^4+f*x^2+e)","x",1]]