lst:=[[x^3*arctanh(b*x+a)^2,x,1],
[x^2*arctanh(b*x+a)^2,x,1],
[x*arctanh(b*x+a)^2,x,1],
[arctanh(b*x+a)^2,x,1],
[arctanh(b*x+a)^2/x,x,1],
[arctanh(b*x+a)^2/x^2,x,1],
[arctanh(b*x+a)^2/x^3,x,1],
[arctanh(b*x+1)^2/x,x,1],
[(d*e*x+c*e)^3*(a+b*arctanh(d*x+c)),x,1],
[(d*e*x+c*e)^2*(a+b*arctanh(d*x+c)),x,1],
[(d*e*x+c*e)*(a+b*arctanh(d*x+c)),x,1],
[(a+b*arctanh(d*x+c))/(d*e*x+c*e),x,1],
[(a+b*arctanh(d*x+c))/(d*e*x+c*e)^2,x,1],
[(a+b*arctanh(d*x+c))/(d*e*x+c*e)^3,x,1],
[(d*e*x+c*e)^3*(a+b*arctanh(d*x+c))^2,x,1],
[(d*e*x+c*e)^2*(a+b*arctanh(d*x+c))^2,x,1],
[(d*e*x+c*e)*(a+b*arctanh(d*x+c))^2,x,1],
[(a+b*arctanh(d*x+c))^2/(d*e*x+c*e),x,1],
[(a+b*arctanh(d*x+c))^2/(d*e*x+c*e)^2,x,1],
[(a+b*arctanh(d*x+c))^2/(d*e*x+c*e)^3,x,1],
[(a+b*arctanh(d*x+c))^2/(d*e*x+c*e)^4,x,1],
[(a+b*arctanh(d*x+c))^2/(d*e*x+c*e)^5,x,1],
[(d*e*x+c*e)^2*(a+b*arctanh(d*x+c))^3,x,1],
[(d*e*x+c*e)*(a+b*arctanh(d*x+c))^3,x,1],
[(a+b*arctanh(d*x+c))^3/(d*e*x+c*e),x,1],
[(a+b*arctanh(d*x+c))^3/(d*e*x+c*e)^2,x,1],
[(a+b*arctanh(d*x+c))^3/(d*e*x+c*e)^3,x,1],
[(a+b*arctanh(d*x+c))^3/(d*e*x+c*e)^4,x,1],
[arctanh(1+x)/(2+2*x),x,1],
[arctanh(b*x+a)/(a*d/b+d*x),x,1],
[(f*x+e)^3*(a+b*arctanh(d*x+c)),x,1],
[(f*x+e)^2*(a+b*arctanh(d*x+c)),x,1],
[(f*x+e)*(a+b*arctanh(d*x+c)),x,1],
[a+b*arctanh(d*x+c),x,1],
[(a+b*arctanh(d*x+c))/(f*x+e),x,1],
[(a+b*arctanh(d*x+c))/(f*x+e)^2,x,1],
[(a+b*arctanh(d*x+c))/(f*x+e)^3,x,1],
[(f*x+e)^3*(a+b*arctanh(d*x+c))^2,x,1],
[(f*x+e)^2*(a+b*arctanh(d*x+c))^2,x,1],
[(f*x+e)*(a+b*arctanh(d*x+c))^2,x,1],
[(a+b*arctanh(d*x+c))^2,x,1],
[(a+b*arctanh(d*x+c))^2/(f*x+e),x,1],
[(a+b*arctanh(d*x+c))^2/(f*x+e)^2,x,1],
[(a+b*arctanh(d*x+c))^2/(f*x+e)^3,x,1],
[(f*x+e)^2*(a+b*arctanh(d*x+c))^3,x,1],
[(f*x+e)*(a+b*arctanh(d*x+c))^3,x,1],
[(a+b*arctanh(d*x+c))^3,x,1],
[(a+b*arctanh(d*x+c))^3/(f*x+e),x,1],
[(a+b*arctanh(d*x+c))^3/(f*x+e)^2,x,1],
[(f*x+e)^m*(a+b*arctanh(d*x+c))^3,x,0],
[(f*x+e)^m*(a+b*arctanh(d*x+c))^2,x,0],
[(f*x+e)^m*(a+b*arctanh(d*x+c)),x,1],
[arctanh(b*x+a)/(d*x^3+c),x,1],
[arctanh(b*x+a)/(d*x^2+c),x,1],
[arctanh(b*x+a)/(d*x+c),x,1],
[arctanh(b*x+a)/(c+d/x),x,1],
[arctanh(b*x+a)/(c+d/x^2),x,1],
[arctanh(b*x+a)/(c+d/x^3),x,1],
[arctanh(b*x+a)/(-x^2+1),x,1],
[(a+b*arctanh(d*x+c))/(e+f*x^(1/2)),x,1],
[arctanh(b*x+a)/(c+d*x^(1/2)),x,1],
[arctanh(b*x+a)/(c+d/x^(1/2)),x,1],
[x^3*(a+b*arctanh(d*x+c))/(-f*x^2+e),x,1],
[x^2*(a+b*arctanh(d*x+c))/(-f*x^2+e),x,1],
[x*(a+b*arctanh(d*x+c))/(-f*x^2+e),x,1],
[(a+b*arctanh(d*x+c))/(-f*x^2+e),x,1],
[(a+b*arctanh(d*x+c))/x/(-f*x^2+e),x,1],
[(a+b*arctanh(d*x+c))/x^2/(-f*x^2+e),x,1],
[(a+b*arctanh(d*x+c))/x^3/(-f*x^2+e),x,1],
[x^3*(a+b*arctanh(d*x+c))/(f*x^3+e),x,1],
[x^2*(a+b*arctanh(d*x+c))/(f*x^3+e),x,1],
[x*(a+b*arctanh(d*x+c))/(f*x^3+e),x,1],
[(a+b*arctanh(d*x+c))/(f*x^3+e),x,1],
[(a+b*arctanh(d*x+c))/x/(f*x^3+e),x,1],
[(a+b*arctanh(d*x+c))/x^2/(f*x^3+e),x,1],
[(a+b*arctanh(d*x+c))/x^3/(f*x^3+e),x,1],
[(a+b*arctanh(d*x+c))/(g*x^2+f*x+e),x,1],
[(a+b*arctanh(d*x+c))/(g*x^4+f*x^2+e),x,1],
[(d*e*x+c*e)*(a+b*arctanh(d*x+c))/(1-(d*x+c)^2),x,1]]