lst:=[[x^4*(-c^2*d*x^2+d)*(a+b*arccosh(c*x)),x,1],
[x^3*(-c^2*d*x^2+d)*(a+b*arccosh(c*x)),x,1],
[x^2*(-c^2*d*x^2+d)*(a+b*arccosh(c*x)),x,1],
[x*(-c^2*d*x^2+d)*(a+b*arccosh(c*x)),x,1],
[(-c^2*d*x^2+d)*(a+b*arccosh(c*x)),x,1],
[(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/x,x,1],
[(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/x^2,x,1],
[(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/x^3,x,1],
[(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/x^4,x,1],
[x^4*(-c^2*d*x^2+d)^2*(a+b*arccosh(c*x)),x,1],
[x^3*(-c^2*d*x^2+d)^2*(a+b*arccosh(c*x)),x,1],
[x^2*(-c^2*d*x^2+d)^2*(a+b*arccosh(c*x)),x,1],
[x*(-c^2*d*x^2+d)^2*(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)^2*(a+b*arccosh(c*x))/x,x,1],
[(-c^2*d*x^2+d)^2*(a+b*arccosh(c*x))/x^2,x,1],
[(-c^2*d*x^2+d)^2*(a+b*arccosh(c*x))/x^3,x,1],
[(-c^2*d*x^2+d)^2*(a+b*arccosh(c*x))/x^4,x,1],
[x^4*(-c^2*d*x^2+d)^3*(a+b*arccosh(c*x)),x,1],
[x^3*(-c^2*d*x^2+d)^3*(a+b*arccosh(c*x)),x,1],
[x^2*(-c^2*d*x^2+d)^3*(a+b*arccosh(c*x)),x,1],
[x*(-c^2*d*x^2+d)^3*(a+b*arccosh(c*x)),x,1],
[(-c^2*d*x^2+d)^3*(a+b*arccosh(c*x)),x,1],
[(-c^2*d*x^2+d)^3*(a+b*arccosh(c*x))/x,x,1],
[(-c^2*d*x^2+d)^3*(a+b*arccosh(c*x))/x^2,x,1],
[(-c^2*d*x^2+d)^3*(a+b*arccosh(c*x))/x^3,x,1],
[(-c^2*d*x^2+d)^3*(a+b*arccosh(c*x))/x^4,x,1],
[x^4*(a+b*arccosh(c*x))/(-c^2*d*x^2+d),x,1],
[x^3*(a+b*arccosh(c*x))/(-c^2*d*x^2+d),x,1],
[x^2*(a+b*arccosh(c*x))/(-c^2*d*x^2+d),x,1],
[x*(a+b*arccosh(c*x))/(-c^2*d*x^2+d),x,1],
[(a+b*arccosh(c*x))/(-c^2*d*x^2+d),x,1],
[(a+b*arccosh(c*x))/x/(-c^2*d*x^2+d),x,1],
[(a+b*arccosh(c*x))/x^2/(-c^2*d*x^2+d),x,1],
[(a+b*arccosh(c*x))/x^3/(-c^2*d*x^2+d),x,1],
[(a+b*arccosh(c*x))/x^4/(-c^2*d*x^2+d),x,1],
[x^4*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^2,x,1],
[x^3*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^2,x,1],
[x^2*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^2,x,1],
[x*(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)^2,x,1],
[(a+b*arccosh(c*x))/x/(-c^2*d*x^2+d)^2,x,1],
[(a+b*arccosh(c*x))/x^2/(-c^2*d*x^2+d)^2,x,1],
[(a+b*arccosh(c*x))/x^3/(-c^2*d*x^2+d)^2,x,1],
[(a+b*arccosh(c*x))/x^4/(-c^2*d*x^2+d)^2,x,1],
[x^4*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^3,x,1],
[x^3*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^3,x,1],
[x^2*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^3,x,1],
[x*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^3,x,1],
[(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^3,x,1],
[(a+b*arccosh(c*x))/x/(-c^2*d*x^2+d)^3,x,1],
[(a+b*arccosh(c*x))/x^2/(-c^2*d*x^2+d)^3,x,1],
[(a+b*arccosh(c*x))/x^3/(-c^2*d*x^2+d)^3,x,1],
[(a+b*arccosh(c*x))/x^4/(-c^2*d*x^2+d)^3,x,1],
[x^4*(-c^2*d*x^2+d)^(1/2)*(a+b*arccosh(c*x)),x,1],
[x^2*(-c^2*d*x^2+d)^(1/2)*(a+b*arccosh(c*x)),x,1],
[(-c^2*d*x^2+d)^(1/2)*(a+b*arccosh(c*x)),x,1],
[(-c^2*d*x^2+d)^(1/2)*(a+b*arccosh(c*x))/x^2,x,1],
[(-c^2*d*x^2+d)^(1/2)*(a+b*arccosh(c*x))/x^4,x,1],
[(-c^2*d*x^2+d)^(1/2)*(a+b*arccosh(c*x))/x^6,x,1],
[(-c^2*d*x^2+d)^(1/2)*(a+b*arccosh(c*x))/x^8,x,1],
[x^5*(-c^2*d*x^2+d)^(1/2)*(a+b*arccosh(c*x)),x,1],
[x^3*(-c^2*d*x^2+d)^(1/2)*(a+b*arccosh(c*x)),x,1],
[x*(-c^2*d*x^2+d)^(1/2)*(a+b*arccosh(c*x)),x,1],
[(-c^2*d*x^2+d)^(1/2)*(a+b*arccosh(c*x))/x,x,1],
[(-c^2*d*x^2+d)^(1/2)*(a+b*arccosh(c*x))/x^3,x,1],
[(-c^2*d*x^2+d)^(1/2)*(a+b*arccosh(c*x))/x^5,x,1],
[x^4*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x)),x,1],
[x^2*(-c^2*d*x^2+d)^(3/2)*(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)^(3/2)*(a+b*arccosh(c*x))/x^2,x,1],
[(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/x^4,x,1],
[(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/x^6,x,1],
[(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/x^8,x,1],
[(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/x^10,x,1],
[(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/x^12,x,1],
[x^7*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x)),x,1],
[x^5*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x)),x,1],
[x^3*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x)),x,1],
[x*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x)),x,1],
[(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/x,x,1],
[(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/x^3,x,1],
[(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/x^5,x,1],
[x^4*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x)),x,1],
[x^2*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x)),x,1],
[(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x)),x,1],
[(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/x^2,x,1],
[(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/x^4,x,1],
[(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/x^6,x,1],
[(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/x^8,x,1],
[(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/x^10,x,1],
[(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/x^12,x,1],
[x^7*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x)),x,1],
[x^5*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x)),x,1],
[x^3*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x)),x,1],
[x*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x)),x,1],
[(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/x,x,1],
[(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/x^3,x,1],
[(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/x^5,x,1],
[x^4*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(1/2),x,1],
[x^3*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(1/2),x,1],
[x^2*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(1/2),x,1],
[x*(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)^(1/2),x,1],
[(a+b*arccosh(c*x))/x/(-c^2*d*x^2+d)^(1/2),x,1],
[(a+b*arccosh(c*x))/x^2/(-c^2*d*x^2+d)^(1/2),x,1],
[(a+b*arccosh(c*x))/x^3/(-c^2*d*x^2+d)^(1/2),x,1],
[(a+b*arccosh(c*x))/x^4/(-c^2*d*x^2+d)^(1/2),x,1],
[x^5*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(3/2),x,1],
[x^4*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(3/2),x,1],
[x^3*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(3/2),x,1],
[x^2*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(3/2),x,1],
[x*(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)^(3/2),x,1],
[(a+b*arccosh(c*x))/x/(-c^2*d*x^2+d)^(3/2),x,1],
[(a+b*arccosh(c*x))/x^2/(-c^2*d*x^2+d)^(3/2),x,1],
[(a+b*arccosh(c*x))/x^3/(-c^2*d*x^2+d)^(3/2),x,1],
[(a+b*arccosh(c*x))/x^4/(-c^2*d*x^2+d)^(3/2),x,1],
[x^5*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(5/2),x,1],
[x^4*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(5/2),x,1],
[x^3*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(5/2),x,1],
[x^2*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(5/2),x,1],
[x*(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)^(5/2),x,1],
[(a+b*arccosh(c*x))/x/(-c^2*d*x^2+d)^(5/2),x,1],
[(a+b*arccosh(c*x))/x^2/(-c^2*d*x^2+d)^(5/2),x,1],
[(a+b*arccosh(c*x))/x^3/(-c^2*d*x^2+d)^(5/2),x,1],
[(a+b*arccosh(c*x))/x^4/(-c^2*d*x^2+d)^(5/2),x,1],
[x^4*arccosh(a*x)/(-a^2*x^2+1)^(1/2),x,1],
[x^3*arccosh(a*x)/(-a^2*x^2+1)^(1/2),x,1],
[x^2*arccosh(a*x)/(-a^2*x^2+1)^(1/2),x,1],
[x*arccosh(a*x)/(-a^2*x^2+1)^(1/2),x,1],
[arccosh(a*x)/(-a^2*x^2+1)^(1/2),x,1],
[arccosh(a*x)/x/(-a^2*x^2+1)^(1/2),x,1],
[arccosh(a*x)/x^2/(-a^2*x^2+1)^(1/2),x,1],
[arccosh(a*x)/x^3/(-a^2*x^2+1)^(1/2),x,1],
[arccosh(a*x)/x^4/(-a^2*x^2+1)^(1/2),x,1],
[(f*x)^(3/2)*(a+b*arccosh(c*x))/(-c^2*x^2+1)^(1/2),x,1],
[(f*x)^(3/2)*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(1/2),x,1],
[(f*x)^m*(-c^2*d*x^2+d)^3*(a+b*arccosh(c*x)),x,1],
[(f*x)^m*(-c^2*d*x^2+d)^2*(a+b*arccosh(c*x)),x,1],
[(f*x)^m*(-c^2*d*x^2+d)*(a+b*arccosh(c*x)),x,1],
[(f*x)^m*(a+b*arccosh(c*x))/(-c^2*d*x^2+d),x,0],
[(f*x)^m*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^2,x,0],
[(f*x)^m*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^3,x,0],
[(f*x)^m*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x)),x,1],
[(f*x)^m*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x)),x,1],
[(f*x)^m*(-c^2*d*x^2+d)^(1/2)*(a+b*arccosh(c*x)),x,1],
[(f*x)^m*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(1/2),x,1],
[(f*x)^m*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(3/2),x,1],
[(f*x)^m*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(5/2),x,1],
[(f*x)^m*(c*d1*x+d1)^(5/2)*(-c*d2*x+d2)^(5/2)*(a+b*arccosh(c*x)),x,1],
[(f*x)^m*(c*d1*x+d1)^(3/2)*(-c*d2*x+d2)^(3/2)*(a+b*arccosh(c*x)),x,1],
[(f*x)^m*(c*d1*x+d1)^(1/2)*(-c*d2*x+d2)^(1/2)*(a+b*arccosh(c*x)),x,1],
[(f*x)^m*(a+b*arccosh(c*x))/(c*d1*x+d1)^(1/2)/(-c*d2*x+d2)^(1/2),x,1],
[(f*x)^m*(a+b*arccosh(c*x))/(c*d1*x+d1)^(3/2)/(-c*d2*x+d2)^(3/2),x,1],
[(f*x)^m*(a+b*arccosh(c*x))/(c*d1*x+d1)^(5/2)/(-c*d2*x+d2)^(5/2),x,1],
[(f*x)^m*arccosh(a*x)/(-a^2*x^2+1)^(1/2),x,1],
[x^3*(-c^2*d*x^2+d)^(1/2)*(a+b*arccosh(c*x))^2,x,1],
[x^2*(-c^2*d*x^2+d)^(1/2)*(a+b*arccosh(c*x))^2,x,1],
[x*(-c^2*d*x^2+d)^(1/2)*(a+b*arccosh(c*x))^2,x,1],
[(-c^2*d*x^2+d)^(1/2)*(a+b*arccosh(c*x))^2,x,1],
[(-c^2*d*x^2+d)^(1/2)*(a+b*arccosh(c*x))^2/x,x,1],
[(-c^2*d*x^2+d)^(1/2)*(a+b*arccosh(c*x))^2/x^2,x,1],
[(-c^2*d*x^2+d)^(1/2)*(a+b*arccosh(c*x))^2/x^3,x,1],
[(-c^2*d*x^2+d)^(1/2)*(a+b*arccosh(c*x))^2/x^4,x,1],
[x^3*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^2,x,1],
[x^2*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^2,x,1],
[x*(-c^2*d*x^2+d)^(3/2)*(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)^(3/2)*(a+b*arccosh(c*x))^2/x,x,1],
[(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^2/x^2,x,1],
[(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^2/x^3,x,1],
[(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^2/x^4,x,1],
[x^3*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^2,x,1],
[x^2*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^2,x,1],
[x*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^2,x,1],
[(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^2,x,1],
[(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^2/x,x,1],
[(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^2/x^2,x,1],
[(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^2/x^3,x,1],
[(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^2/x^4,x,1],
[x^5*(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(1/2),x,1],
[x^4*(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(1/2),x,1],
[x^3*(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(1/2),x,1],
[x^2*(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(1/2),x,1],
[x*(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)^(1/2),x,1],
[(a+b*arccosh(c*x))^2/x/(-c^2*d*x^2+d)^(1/2),x,1],
[(a+b*arccosh(c*x))^2/x^2/(-c^2*d*x^2+d)^(1/2),x,1],
[(a+b*arccosh(c*x))^2/x^3/(-c^2*d*x^2+d)^(1/2),x,1],
[(a+b*arccosh(c*x))^2/x^4/(-c^2*d*x^2+d)^(1/2),x,1],
[x^4*(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(3/2),x,1],
[x^3*(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(3/2),x,1],
[x^2*(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(3/2),x,1],
[x*(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)^(3/2),x,1],
[(a+b*arccosh(c*x))^2/x/(-c^2*d*x^2+d)^(3/2),x,1],
[(a+b*arccosh(c*x))^2/x^2/(-c^2*d*x^2+d)^(3/2),x,1],
[(a+b*arccosh(c*x))^2/x^3/(-c^2*d*x^2+d)^(3/2),x,1],
[x^4*(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(5/2),x,1],
[x^3*(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(5/2),x,1],
[x^2*(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(5/2),x,1],
[x*(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(5/2),x,1],
[(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(5/2),x,1],
[(a+b*arccosh(c*x))^2/x/(-c^2*d*x^2+d)^(5/2),x,1],
[(a+b*arccosh(c*x))^2/x^2/(-c^2*d*x^2+d)^(5/2),x,1],
[x^4*arccosh(a*x)^2/(-a^2*x^2+1)^(1/2),x,1],
[x^3*arccosh(a*x)^2/(-a^2*x^2+1)^(1/2),x,1],
[x^2*arccosh(a*x)^2/(-a^2*x^2+1)^(1/2),x,1],
[x*arccosh(a*x)^2/(-a^2*x^2+1)^(1/2),x,1],
[arccosh(a*x)^2/(-a^2*x^2+1)^(1/2),x,1],
[arccosh(a*x)^2/x/(-a^2*x^2+1)^(1/2),x,1],
[arccosh(a*x)^2/x^2/(-a^2*x^2+1)^(1/2),x,1],
[arccosh(a*x)^2/x^3/(-a^2*x^2+1)^(1/2),x,1],
[(f*x)^m*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^2,x,0],
[(f*x)^m*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^2,x,0],
[(f*x)^m*(-c^2*d*x^2+d)^(1/2)*(a+b*arccosh(c*x))^2,x,0],
[(f*x)^m*(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(1/2),x,0],
[(f*x)^m*(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(3/2),x,0],
[(f*x)^m*arccosh(c*x)^2/(-c^2*x^2+1)^(1/2),x,0],
[x^4*arccosh(a*x)^3/(-a^2*x^2+1)^(1/2),x,1],
[x^3*arccosh(a*x)^3/(-a^2*x^2+1)^(1/2),x,1],
[x^2*arccosh(a*x)^3/(-a^2*x^2+1)^(1/2),x,1],
[x*arccosh(a*x)^3/(-a^2*x^2+1)^(1/2),x,1],
[arccosh(a*x)^3/(-a^2*x^2+1)^(1/2),x,1],
[arccosh(a*x)^3/x/(-a^2*x^2+1)^(1/2),x,1],
[arccosh(a*x)^3/x^2/(-a^2*x^2+1)^(1/2),x,1],
[arccosh(a*x)^3/x^3/(-a^2*x^2+1)^(1/2),x,1],
[(f*x)^m*(a+b*arccosh(c*x))^3/(-c^2*x^2+1)^(1/2),x,0],
[x^4*(-c^2*x^2+1)^(1/2)/(a+b*arccosh(c*x)),x,1],
[x^3*(-c^2*x^2+1)^(1/2)/(a+b*arccosh(c*x)),x,1],
[x^2*(-c^2*x^2+1)^(1/2)/(a+b*arccosh(c*x)),x,1],
[x*(-c^2*x^2+1)^(1/2)/(a+b*arccosh(c*x)),x,1],
[(-c^2*x^2+1)^(1/2)/(a+b*arccosh(c*x)),x,1],
[(-c^2*x^2+1)^(1/2)/x/(a+b*arccosh(c*x)),x,0],
[(-c^2*x^2+1)^(1/2)/x^2/(a+b*arccosh(c*x)),x,0],
[x^3*(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x)),x,1],
[x^2*(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x)),x,1],
[x*(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x)),x,1],
[(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x)),x,1],
[(-c^2*x^2+1)^(3/2)/x/(a+b*arccosh(c*x)),x,0],
[(-c^2*x^2+1)^(3/2)/x^2/(a+b*arccosh(c*x)),x,0],
[x^3*(-c^2*x^2+1)^(5/2)/(a+b*arccosh(c*x)),x,1],
[x^2*(-c^2*x^2+1)^(5/2)/(a+b*arccosh(c*x)),x,1],
[x*(-c^2*x^2+1)^(5/2)/(a+b*arccosh(c*x)),x,1],
[(-c^2*x^2+1)^(5/2)/(a+b*arccosh(c*x)),x,1],
[(-c^2*x^2+1)^(5/2)/x/(a+b*arccosh(c*x)),x,0],
[(-c^2*x^2+1)^(5/2)/x^2/(a+b*arccosh(c*x)),x,0],
[x^4/(-a^2*x^2+1)^(1/2)/arccosh(a*x),x,1],
[x^3/(-a^2*x^2+1)^(1/2)/arccosh(a*x),x,1],
[x^2/(-a^2*x^2+1)^(1/2)/arccosh(a*x),x,1],
[x/(-a^2*x^2+1)^(1/2)/arccosh(a*x),x,1],
[1/(-a^2*x^2+1)^(1/2)/arccosh(a*x),x,1],
[1/x/(-a^2*x^2+1)^(1/2)/arccosh(a*x),x,0],
[1/x^2/(-a^2*x^2+1)^(1/2)/arccosh(a*x),x,0],
[x^3/(-c^2*x^2+1)^(1/2)/(a+b*arccosh(c*x)),x,1],
[x^2/(-c^2*x^2+1)^(1/2)/(a+b*arccosh(c*x)),x,1],
[x/(-c^2*x^2+1)^(1/2)/(a+b*arccosh(c*x)),x,1],
[1/(-c^2*x^2+1)^(1/2)/(a+b*arccosh(c*x)),x,1],
[1/x/(-c^2*x^2+1)^(1/2)/(a+b*arccosh(c*x)),x,0],
[1/x^2/(-c^2*x^2+1)^(1/2)/(a+b*arccosh(c*x)),x,0],
[x^2/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x)),x,0],
[x/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x)),x,0],
[1/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x)),x,0],
[1/x/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x)),x,0],
[1/x^2/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x)),x,0],
[x^m*(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x)),x,0],
[x^m*(-c^2*x^2+1)^(1/2)/(a+b*arccosh(c*x)),x,0],
[x^m/(-c^2*x^2+1)^(1/2)/(a+b*arccosh(c*x)),x,0],
[x^m/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x)),x,0],
[x^m/(-c^2*x^2+1)^(5/2)/(a+b*arccosh(c*x)),x,0],
[x^3*(-c^2*x^2+1)^(1/2)/(a+b*arccosh(c*x))^2,x,1],
[x^2*(-c^2*x^2+1)^(1/2)/(a+b*arccosh(c*x))^2,x,1],
[x*(-c^2*x^2+1)^(1/2)/(a+b*arccosh(c*x))^2,x,1],
[(-c^2*x^2+1)^(1/2)/(a+b*arccosh(c*x))^2,x,1],
[(-c^2*x^2+1)^(1/2)/x/(a+b*arccosh(c*x))^2,x,0],
[(-c^2*x^2+1)^(1/2)/x^2/(a+b*arccosh(c*x))^2,x,0],
[x^2*(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x))^2,x,1],
[x*(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x))^2,x,1],
[(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x))^2,x,1],
[(-c^2*x^2+1)^(3/2)/x/(a+b*arccosh(c*x))^2,x,0],
[(-c^2*x^2+1)^(3/2)/x^2/(a+b*arccosh(c*x))^2,x,0],
[x^2*(-c^2*x^2+1)^(5/2)/(a+b*arccosh(c*x))^2,x,1],
[x*(-c^2*x^2+1)^(5/2)/(a+b*arccosh(c*x))^2,x,1],
[(-c^2*x^2+1)^(5/2)/(a+b*arccosh(c*x))^2,x,1],
[(-c^2*x^2+1)^(5/2)/x/(a+b*arccosh(c*x))^2,x,0],
[(-c^2*x^2+1)^(5/2)/x^2/(a+b*arccosh(c*x))^2,x,0],
[x^5/(-c^2*x^2+1)^(1/2)/(a+b*arccosh(c*x))^2,x,1],
[x^4/(-c^2*x^2+1)^(1/2)/(a+b*arccosh(c*x))^2,x,1],
[x^3/(-c^2*x^2+1)^(1/2)/(a+b*arccosh(c*x))^2,x,1],
[x^2/(-c^2*x^2+1)^(1/2)/(a+b*arccosh(c*x))^2,x,1],
[x/(-c^2*x^2+1)^(1/2)/(a+b*arccosh(c*x))^2,x,1],
[1/(-c^2*x^2+1)^(1/2)/(a+b*arccosh(c*x))^2,x,1],
[1/x/(-c^2*x^2+1)^(1/2)/(a+b*arccosh(c*x))^2,x,0],
[1/x^2/(-c^2*x^2+1)^(1/2)/(a+b*arccosh(c*x))^2,x,0],
[x^2/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x))^2,x,0],
[x/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x))^2,x,0],
[1/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x))^2,x,0],
[1/x/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x))^2,x,0],
[1/x^2/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x))^2,x,0],
[(f*x)^m*(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x))^2,x,0],
[(f*x)^m*(-c^2*x^2+1)^(1/2)/(a+b*arccosh(c*x))^2,x,0],
[(f*x)^m/(-c^2*x^2+1)^(1/2)/(a+b*arccosh(c*x))^2,x,0],
[(f*x)^m/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x))^2,x,0],
[(f*x)^m/(-c^2*x^2+1)^(5/2)/(a+b*arccosh(c*x))^2,x,0],
[x^3*(-c^2*d*x^2+d)/(a+b*arccosh(c*x))^(3/2),x,1],
[x^2*(-c^2*d*x^2+d)/(a+b*arccosh(c*x))^(3/2),x,1],
[x*(-c^2*d*x^2+d)/(a+b*arccosh(c*x))^(3/2),x,1],
[(-c^2*d*x^2+d)/(a+b*arccosh(c*x))^(3/2),x,1],
[(-c^2*d*x^2+d)/x/(a+b*arccosh(c*x))^(3/2),x,0],
[x^3*(-c^2*d*x^2+d)^2/(a+b*arccosh(c*x))^(3/2),x,1],
[x^2*(-c^2*d*x^2+d)^2/(a+b*arccosh(c*x))^(3/2),x,1],
[x*(-c^2*d*x^2+d)^2/(a+b*arccosh(c*x))^(3/2),x,1],
[(-c^2*d*x^2+d)^2/(a+b*arccosh(c*x))^(3/2),x,1],
[(-c^2*d*x^2+d)^2/x/(a+b*arccosh(c*x))^(3/2),x,0],
[x/(-x^2+1)^(1/2)/arccosh(x)^(1/2),x,1],
[x^2*(-c^2*d*x^2+d)^(1/2)*(a+b*arccosh(c*x))^n,x,1],
[x*(-c^2*d*x^2+d)^(1/2)*(a+b*arccosh(c*x))^n,x,1],
[(-c^2*d*x^2+d)^(1/2)*(a+b*arccosh(c*x))^n,x,1],
[(-c^2*d*x^2+d)^(1/2)*(a+b*arccosh(c*x))^n/x,x,0],
[(-c^2*d*x^2+d)^(1/2)*(a+b*arccosh(c*x))^n/x^2,x,0],
[x^2*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^n,x,1],
[x*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^n,x,1],
[(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^n,x,1],
[(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^n/x,x,0],
[(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^n/x^2,x,0],
[x^2*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^n,x,1],
[x*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^n,x,1],
[(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^n,x,1],
[(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^n/x,x,0],
[(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^n/x^2,x,0],
[x^3*(a+b*arccosh(c*x))^n/(-c^2*x^2+1)^(1/2),x,1],
[x^2*(a+b*arccosh(c*x))^n/(-c^2*x^2+1)^(1/2),x,1],
[x*(a+b*arccosh(c*x))^n/(-c^2*x^2+1)^(1/2),x,1],
[(a+b*arccosh(c*x))^n/(-c^2*x^2+1)^(1/2),x,1],
[(a+b*arccosh(c*x))^n/x/(-c^2*x^2+1)^(1/2),x,0],
[(a+b*arccosh(c*x))^n/x^2/(-c^2*x^2+1)^(1/2),x,0],
[x^3*(a+b*arccosh(c*x))^n/(-c^2*d*x^2+d)^(1/2),x,1],
[x^2*(a+b*arccosh(c*x))^n/(-c^2*d*x^2+d)^(1/2),x,1],
[x*(a+b*arccosh(c*x))^n/(-c^2*d*x^2+d)^(1/2),x,1],
[(a+b*arccosh(c*x))^n/(-c^2*d*x^2+d)^(1/2),x,1],
[(a+b*arccosh(c*x))^n/x/(-c^2*d*x^2+d)^(1/2),x,0],
[(a+b*arccosh(c*x))^n/x^2/(-c^2*d*x^2+d)^(1/2),x,0],
[x^2*(a+b*arccosh(c*x))^n/(-c^2*d*x^2+d)^(3/2),x,0],
[x*(a+b*arccosh(c*x))^n/(-c^2*d*x^2+d)^(3/2),x,0],
[(a+b*arccosh(c*x))^n/(-c^2*d*x^2+d)^(3/2),x,0],
[(a+b*arccosh(c*x))^n/x/(-c^2*d*x^2+d)^(3/2),x,0],
[(a+b*arccosh(c*x))^n/x^2/(-c^2*d*x^2+d)^(3/2),x,0],
[(f*x)^m*(a+b*arccosh(c*x))^n/(-c^2*x^2+1)^(1/2),x,0],
[(f*x)^m*(-c^2*d*x^2+d)^2*(a+b*arccosh(c*x))^n,x,0],
[(f*x)^m*(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n,x,0],
[(f*x)^m*(a+b*arccosh(c*x))^n,x,0],
[(f*x)^m*(a+b*arccosh(c*x))^n/(-c^2*d*x^2+d),x,0],
[(f*x)^m*(a+b*arccosh(c*x))^n/(-c^2*d*x^2+d)^2,x,0],
[(f*x)^m*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^n,x,0],
[(f*x)^m*(-c^2*d*x^2+d)^(1/2)*(a+b*arccosh(c*x))^n,x,0],
[(f*x)^m*(a+b*arccosh(c*x))^n/(-c^2*d*x^2+d)^(1/2),x,0],
[(f*x)^m*(a+b*arccosh(c*x))^n/(-c^2*d*x^2+d)^(3/2),x,0],
[x^4*(e*x^2+d)*(a+b*arccosh(c*x)),x,1],
[x^3*(e*x^2+d)*(a+b*arccosh(c*x)),x,1],
[x^2*(e*x^2+d)*(a+b*arccosh(c*x)),x,1],
[x*(e*x^2+d)*(a+b*arccosh(c*x)),x,1],
[(e*x^2+d)*(a+b*arccosh(c*x)),x,1],
[(e*x^2+d)*(a+b*arccosh(c*x))/x,x,1],
[(e*x^2+d)*(a+b*arccosh(c*x))/x^2,x,1],
[(e*x^2+d)*(a+b*arccosh(c*x))/x^3,x,1],
[(e*x^2+d)*(a+b*arccosh(c*x))/x^4,x,1],
[x^4*(e*x^2+d)^2*(a+b*arccosh(c*x)),x,1],
[x^3*(e*x^2+d)^2*(a+b*arccosh(c*x)),x,1],
[x^2*(e*x^2+d)^2*(a+b*arccosh(c*x)),x,1],
[x*(e*x^2+d)^2*(a+b*arccosh(c*x)),x,1],
[(e*x^2+d)^2*(a+b*arccosh(c*x)),x,1],
[(e*x^2+d)^2*(a+b*arccosh(c*x))/x,x,1],
[(e*x^2+d)^2*(a+b*arccosh(c*x))/x^2,x,1],
[(e*x^2+d)^2*(a+b*arccosh(c*x))/x^3,x,1],
[(e*x^2+d)^2*(a+b*arccosh(c*x))/x^4,x,1],
[x^4*(e*x^2+d)^3*(a+b*arccosh(c*x)),x,1],
[x^3*(e*x^2+d)^3*(a+b*arccosh(c*x)),x,1],
[x^2*(e*x^2+d)^3*(a+b*arccosh(c*x)),x,1],
[x*(e*x^2+d)^3*(a+b*arccosh(c*x)),x,1],
[(e*x^2+d)^3*(a+b*arccosh(c*x)),x,1],
[(e*x^2+d)^3*(a+b*arccosh(c*x))/x,x,1],
[(e*x^2+d)^3*(a+b*arccosh(c*x))/x^2,x,1],
[(e*x^2+d)^3*(a+b*arccosh(c*x))/x^3,x,1],
[(e*x^2+d)^3*(a+b*arccosh(c*x))/x^4,x,1],
[x^4*(a+b*arccosh(c*x))/(e*x^2+d),x,1],
[x^3*(a+b*arccosh(c*x))/(e*x^2+d),x,1],
[x^2*(a+b*arccosh(c*x))/(e*x^2+d),x,1],
[x*(a+b*arccosh(c*x))/(e*x^2+d),x,1],
[(a+b*arccosh(c*x))/(e*x^2+d),x,1],
[(a+b*arccosh(c*x))/x/(e*x^2+d),x,1],
[(a+b*arccosh(c*x))/x^2/(e*x^2+d),x,1],
[(a+b*arccosh(c*x))/x^3/(e*x^2+d),x,1],
[(a+b*arccosh(c*x))/x^4/(e*x^2+d),x,1],
[x^3*(a+b*arccosh(c*x))/(e*x^2+d)^2,x,1],
[x*(a+b*arccosh(c*x))/(e*x^2+d)^2,x,1],
[(a+b*arccosh(c*x))/x/(e*x^2+d)^2,x,1],
[(a+b*arccosh(c*x))/x^3/(e*x^2+d)^2,x,1],
[x^4*(a+b*arccosh(c*x))/(e*x^2+d)^2,x,1],
[x^2*(a+b*arccosh(c*x))/(e*x^2+d)^2,x,1],
[(a+b*arccosh(c*x))/(e*x^2+d)^2,x,1],
[(a+b*arccosh(c*x))/x^2/(e*x^2+d)^2,x,1],
[x^5*(a+b*arccosh(c*x))/(e*x^2+d)^3,x,1],
[x^3*(a+b*arccosh(c*x))/(e*x^2+d)^3,x,1],
[x*(a+b*arccosh(c*x))/(e*x^2+d)^3,x,1],
[(a+b*arccosh(c*x))/x/(e*x^2+d)^3,x,1],
[(a+b*arccosh(c*x))/x^3/(e*x^2+d)^3,x,1],
[x^4*(a+b*arccosh(c*x))/(e*x^2+d)^3,x,1],
[x^2*(a+b*arccosh(c*x))/(e*x^2+d)^3,x,1],
[(a+b*arccosh(c*x))/(e*x^2+d)^3,x,1],
[(f*x)^m*(e*x^2+d)^3*(a+b*arccosh(c*x)),x,1],
[(f*x)^m*(e*x^2+d)^2*(a+b*arccosh(c*x)),x,1],
[(f*x)^m*(e*x^2+d)*(a+b*arccosh(c*x)),x,1],
[(f*x)^m*(a+b*arccosh(c*x))/(e*x^2+d),x,0],
[(f*x)^m*(a+b*arccosh(c*x))/(e*x^2+d)^2,x,0],
[(f*x)^m*(a+b*arccosh(c*x))/(e*x^2+d)^3,x,0]]