lst:=[[(-c^2*d*x^2+d)^3*(a+b*arccosh(c*x)),x,1],
[(-c^2*d*x^2+d)^2*(a+b*arccosh(c*x)),x,1],
[(-c^2*d*x^2+d)*(a+b*arccosh(c*x)),x,1],
[(a+b*arccosh(c*x))/(-c^2*d*x^2+d),x,1],
[(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^2,x,1],
[(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^3,x,1],
[(-c^2*d*x^2+d)^3*(a+b*arccosh(c*x))^2,x,1],
[(-c^2*d*x^2+d)^2*(a+b*arccosh(c*x))^2,x,1],
[(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2,x,1],
[(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d),x,1],
[(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^2,x,1],
[(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^3,x,1],
[(-c^2*d*x^2+d)^3*(a+b*arccosh(c*x))^3,x,1],
[(-c^2*d*x^2+d)^2*(a+b*arccosh(c*x))^3,x,1],
[(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^3,x,1],
[(a+b*arccosh(c*x))^3/(-c^2*d*x^2+d),x,1],
[(a+b*arccosh(c*x))^3/(-c^2*d*x^2+d)^2,x,1],
[(-a^2*c*x^2+c)^3/arccosh(a*x),x,1],
[(-a^2*c*x^2+c)^2/arccosh(a*x),x,1],
[(-a^2*c*x^2+c)/arccosh(a*x),x,1],
[1/(-a^2*c*x^2+c)/arccosh(a*x),x,0],
[1/(-a^2*c*x^2+c)^2/arccosh(a*x),x,0],
[(-a^2*c*x^2+c)^3/arccosh(a*x)^2,x,1],
[(-a^2*c*x^2+c)^2/arccosh(a*x)^2,x,1],
[(-a^2*c*x^2+c)/arccosh(a*x)^2,x,1],
[1/(-a^2*c*x^2+c)/arccosh(a*x)^2,x,0],
[1/(-a^2*c*x^2+c)^2/arccosh(a*x)^2,x,0],
[(-c^2*d*x^2+d)^3/(a+b*arccosh(c*x)),x,1],
[(-c^2*d*x^2+d)^2/(a+b*arccosh(c*x)),x,1],
[(-c^2*d*x^2+d)/(a+b*arccosh(c*x)),x,1],
[1/(-c^2*d*x^2+d)/(a+b*arccosh(c*x)),x,0],
[1/(-c^2*d*x^2+d)^2/(a+b*arccosh(c*x)),x,0],
[(-c^2*d*x^2+d)^3/(a+b*arccosh(c*x))^2,x,1],
[(-c^2*d*x^2+d)^2/(a+b*arccosh(c*x))^2,x,1],
[(-c^2*d*x^2+d)/(a+b*arccosh(c*x))^2,x,1],
[1/(-c^2*d*x^2+d)/(a+b*arccosh(c*x))^2,x,0],
[1/(-c^2*d*x^2+d)^2/(a+b*arccosh(c*x))^2,x,0],
[(-Pi*c^2*x^2+Pi)^(5/2)*(a+b*arccosh(c*x)),x,1],
[(-Pi*c^2*x^2+Pi)^(3/2)*(a+b*arccosh(c*x)),x,1],
[(-Pi*c^2*x^2+Pi)^(1/2)*(a+b*arccosh(c*x)),x,1],
[(a+b*arccosh(c*x))/(-Pi*c^2*x^2+Pi)^(1/2),x,1],
[(a+b*arccosh(c*x))/(-Pi*c^2*x^2+Pi)^(3/2),x,1],
[(a+b*arccosh(c*x))/(-Pi*c^2*x^2+Pi)^(5/2),x,1],
[(a+b*arccosh(c*x))/(-Pi*c^2*x^2+Pi)^(7/2),x,1],
[(-Pi*c^2*x^2+Pi)^(3/2)*(a+b*arccosh(c*x))^2,x,1],
[(-Pi*c^2*x^2+Pi)^(1/2)*(a+b*arccosh(c*x))^2,x,1],
[(a+b*arccosh(c*x))^2/(-Pi*c^2*x^2+Pi)^(1/2),x,1],
[(a+b*arccosh(c*x))^2/(-Pi*c^2*x^2+Pi)^(3/2),x,1],
[(a+b*arccosh(c*x))^2/(-Pi*c^2*x^2+Pi)^(5/2),x,1],
[(-x^2+1)^(1/2)*arccosh(x),x,1],
[1/(-a^2*x^2+1)^(1/2)/arccosh(a*x)^3,x,1],
[(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x)),x,1],
[(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x)),x,1],
[(-c^2*d*x^2+d)^(1/2)*(a+b*arccosh(c*x)),x,1],
[(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(1/2),x,1],
[(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(3/2),x,1],
[(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(5/2),x,1],
[(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(7/2),x,1],
[(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^2,x,1],
[(-c^2*d*x^2+d)^(1/2)*(a+b*arccosh(c*x))^2,x,1],
[(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(1/2),x,1],
[(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(3/2),x,1],
[(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(5/2),x,1],
[arccosh(a*x)^2/(-a^2*c*x^2+c)^(7/2),x,1],
[(-a^2*c*x^2+c)^(3/2)*arccosh(a*x)^3,x,1],
[(-a^2*c*x^2+c)^(1/2)*arccosh(a*x)^3,x,1],
[arccosh(a*x)^3/(-a^2*c*x^2+c)^(1/2),x,1],
[arccosh(a*x)^3/(-a^2*c*x^2+c)^(3/2),x,1],
[arccosh(a*x)^3/(-a^2*c*x^2+c)^(5/2),x,1],
[(-c^2*d*x^2+d)^(5/2)/(a+b*arccosh(c*x)),x,1],
[(-c^2*d*x^2+d)^(3/2)/(a+b*arccosh(c*x)),x,1],
[(-c^2*d*x^2+d)^(1/2)/(a+b*arccosh(c*x)),x,1],
[1/(-c^2*d*x^2+d)^(1/2)/(a+b*arccosh(c*x)),x,1],
[1/(-c^2*d*x^2+d)^(3/2)/(a+b*arccosh(c*x)),x,0],
[1/(-c^2*d*x^2+d)^(5/2)/(a+b*arccosh(c*x)),x,0],
[(-c^2*d*x^2+d)^(5/2)/(a+b*arccosh(c*x))^2,x,1],
[(-c^2*d*x^2+d)^(3/2)/(a+b*arccosh(c*x))^2,x,1],
[(-c^2*d*x^2+d)^(1/2)/(a+b*arccosh(c*x))^2,x,1],
[1/(-c^2*d*x^2+d)^(1/2)/(a+b*arccosh(c*x))^2,x,1],
[1/(-c^2*d*x^2+d)^(3/2)/(a+b*arccosh(c*x))^2,x,0],
[1/(-c^2*d*x^2+d)^(5/2)/(a+b*arccosh(c*x))^2,x,0],
[(-a^2*c*x^2+c)^(3/2)*arccosh(a*x)^(1/2),x,1],
[(-a^2*c*x^2+c)^(1/2)*arccosh(a*x)^(1/2),x,1],
[arccosh(a*x)^(1/2)/(-a^2*c*x^2+c)^(1/2),x,1],
[arccosh(a*x)^(1/2)/(-a^2*c*x^2+c)^(3/2),x,0],
[arccosh(a*x)^(1/2)/(-a^2*c*x^2+c)^(5/2),x,0],
[(-a^2*c*x^2+c)^(1/2)*arccosh(a*x)^(3/2),x,1],
[arccosh(a*x)^(3/2)/(-a^2*c*x^2+c)^(1/2),x,1],
[arccosh(a*x)^(3/2)/(-a^2*c*x^2+c)^(3/2),x,0],
[arccosh(a*x)^(3/2)/(-a^2*c*x^2+c)^(5/2),x,0],
[(-a^2*c*x^2+c)^(1/2)*arccosh(a*x)^(5/2),x,1],
[arccosh(a*x)^(5/2)/(-a^2*c*x^2+c)^(1/2),x,1],
[arccosh(a*x)^(5/2)/(-a^2*c*x^2+c)^(3/2),x,0],
[arccosh(a*x)^(5/2)/(-a^2*c*x^2+c)^(5/2),x,0],
[(a^2-x^2)^(3/2)*arccosh(x/a)^(1/2),x,1],
[(a^2-x^2)^(1/2)*arccosh(x/a)^(1/2),x,1],
[arccosh(x/a)^(1/2)/(a^2-x^2)^(1/2),x,1],
[arccosh(x/a)^(1/2)/(a^2-x^2)^(3/2),x,0],
[arccosh(x/a)^(1/2)/(a^2-x^2)^(5/2),x,0],
[(a^2-x^2)^(1/2)*arccosh(x/a)^(3/2),x,1],
[arccosh(x/a)^(3/2)/(a^2-x^2)^(1/2),x,1],
[arccosh(x/a)^(3/2)/(a^2-x^2)^(3/2),x,0],
[arccosh(x/a)^(3/2)/(a^2-x^2)^(5/2),x,0],
[(-a^2*c*x^2+c)^(5/2)/arccosh(a*x)^(1/2),x,1],
[(-a^2*c*x^2+c)^(3/2)/arccosh(a*x)^(1/2),x,1],
[(-a^2*c*x^2+c)^(1/2)/arccosh(a*x)^(1/2),x,1],
[1/(-a^2*c*x^2+c)^(1/2)/arccosh(a*x)^(1/2),x,1],
[1/(-a^2*c*x^2+c)^(3/2)/arccosh(a*x)^(1/2),x,0],
[1/(-a^2*c*x^2+c)^(5/2)/arccosh(a*x)^(1/2),x,0],
[(-a^2*c*x^2+c)^(5/2)/arccosh(a*x)^(3/2),x,1],
[(-a^2*c*x^2+c)^(3/2)/arccosh(a*x)^(3/2),x,1],
[(-a^2*c*x^2+c)^(1/2)/arccosh(a*x)^(3/2),x,1],
[1/(-a^2*c*x^2+c)^(1/2)/arccosh(a*x)^(3/2),x,1],
[1/(-a^2*c*x^2+c)^(3/2)/arccosh(a*x)^(3/2),x,0],
[1/(-a^2*c*x^2+c)^(5/2)/arccosh(a*x)^(3/2),x,0],
[(-a^2*c*x^2+c)^(3/2)/arccosh(a*x)^(5/2),x,1],
[(-a^2*c*x^2+c)^(1/2)/arccosh(a*x)^(5/2),x,1],
[1/(-a^2*c*x^2+c)^(1/2)/arccosh(a*x)^(5/2),x,1],
[1/(-a^2*c*x^2+c)^(3/2)/arccosh(a*x)^(5/2),x,0],
[1/(-a^2*c*x^2+c)^(5/2)/arccosh(a*x)^(5/2),x,0],
[(e*x^2+d)^4*(a+b*arccosh(c*x)),x,1],
[(d*x^2+c)^4*arccosh(a*x),x,1],
[(d*x^2+c)^3*arccosh(a*x),x,1],
[(d*x^2+c)^2*arccosh(a*x),x,1],
[(d*x^2+c)*arccosh(a*x),x,1],
[arccosh(a*x)/(d*x^2+c),x,1],
[arccosh(a*x)/(d*x^2+c)^2,x,1],
[(e*x^2+d)^3*(a+b*arccosh(c*x))^2,x,1],
[(e*x^2+d)^2*(a+b*arccosh(c*x))^2,x,1],
[(e*x^2+d)*(a+b*arccosh(c*x))^2,x,1],
[(a+b*arccosh(c*x))^2,x,1],
[(a+b*arccosh(c*x))^2/(e*x^2+d),x,1],
[(e*x^2+d)^2/(a+b*arccosh(c*x)),x,1],
[(e*x^2+d)/(a+b*arccosh(c*x)),x,1],
[1/(a+b*arccosh(c*x)),x,1],
[1/(e*x^2+d)/(a+b*arccosh(c*x)),x,0],
[1/(e*x^2+d)^2/(a+b*arccosh(c*x)),x,0],
[(e*x^2+d)^2/(a+b*arccosh(c*x))^2,x,1],
[(e*x^2+d)/(a+b*arccosh(c*x))^2,x,1],
[1/(a+b*arccosh(c*x))^2,x,1],
[1/(e*x^2+d)/(a+b*arccosh(c*x))^2,x,0],
[1/(e*x^2+d)^2/(a+b*arccosh(c*x))^2,x,0],
[(e*x^2+d)^(1/2)*(a+b*arccosh(c*x)),x,0],
[(a+b*arccosh(c*x))/(e*x^2+d)^(1/2),x,0],
[(a+b*arccosh(c*x))/(e*x^2+d)^(3/2),x,1],
[(a+b*arccosh(c*x))/(e*x^2+d)^(5/2),x,1],
[(a+b*arccosh(c*x))/(e*x^2+d)^(7/2),x,1],
[(e*x^2+d)^(1/2)*(a+b*arccosh(c*x))^2,x,0],
[(a+b*arccosh(c*x))^2/(e*x^2+d)^(1/2),x,0],
[(a+b*arccosh(c*x))^2/(e*x^2+d)^(3/2),x,0],
[(a+b*arccosh(c*x))^2/(e*x^2+d)^(5/2),x,0],
[(e*x^2+d)^(1/2)/(a+b*arccosh(c*x)),x,0],
[1/(e*x^2+d)^(1/2)/(a+b*arccosh(c*x)),x,0],
[1/(e*x^2+d)^(3/2)/(a+b*arccosh(c*x)),x,0],
[1/(e*x^2+d)^(5/2)/(a+b*arccosh(c*x)),x,0],
[(e*x^2+d)^(1/2)/(a+b*arccosh(c*x))^2,x,0],
[1/(e*x^2+d)^(1/2)/(a+b*arccosh(c*x))^2,x,0],
[1/(e*x^2+d)^(3/2)/(a+b*arccosh(c*x))^2,x,0],
[1/(e*x^2+d)^(5/2)/(a+b*arccosh(c*x))^2,x,0],
[(e*x^2+d)^2*(a+b*arccosh(c*x))^(1/2),x,1],
[(e*x^2+d)*(a+b*arccosh(c*x))^(1/2),x,1],
[(a+b*arccosh(c*x))^(1/2),x,1],
[(a+b*arccosh(c*x))^(1/2)/(e*x^2+d),x,0],
[(a+b*arccosh(c*x))^(1/2)/(e*x^2+d)^2,x,0],
[(e*x^2+d)*(a+b*arccosh(c*x))^(3/2),x,1],
[(a+b*arccosh(c*x))^(3/2),x,1],
[(a+b*arccosh(c*x))^(3/2)/(e*x^2+d),x,0],
[(a+b*arccosh(c*x))^(3/2)/(e*x^2+d)^2,x,0],
[(e*x^2+d)^2/(a+b*arccosh(c*x))^(1/2),x,1],
[(e*x^2+d)/(a+b*arccosh(c*x))^(1/2),x,1],
[1/(a+b*arccosh(c*x))^(1/2),x,1],
[1/(e*x^2+d)/(a+b*arccosh(c*x))^(1/2),x,0],
[1/(e*x^2+d)^2/(a+b*arccosh(c*x))^(1/2),x,0],
[(e*x^2+d)/(a+b*arccosh(c*x))^(3/2),x,1],
[1/(a+b*arccosh(c*x))^(3/2),x,1],
[1/(e*x^2+d)/(a+b*arccosh(c*x))^(3/2),x,0],
[1/(e*x^2+d)^2/(a+b*arccosh(c*x))^(3/2),x,0]]