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