lst=[["x^5*atanh(e^(1/2)*x/(e*x^2+d)^(1/2))","x",1],
["x^3*atanh(e^(1/2)*x/(e*x^2+d)^(1/2))","x",1],
["x*atanh(e^(1/2)*x/(e*x^2+d)^(1/2))","x",1],
["atanh(e^(1/2)*x/(e*x^2+d)^(1/2))/x","x",1],
["atanh(e^(1/2)*x/(e*x^2+d)^(1/2))/x^3","x",1],
["atanh(e^(1/2)*x/(e*x^2+d)^(1/2))/x^5","x",1],
["atanh(e^(1/2)*x/(e*x^2+d)^(1/2))/x^7","x",1],
["atanh(e^(1/2)*x/(e*x^2+d)^(1/2))/x^9","x",1],
["x^6*atanh(e^(1/2)*x/(e*x^2+d)^(1/2))","x",1],
["x^4*atanh(e^(1/2)*x/(e*x^2+d)^(1/2))","x",1],
["x^2*atanh(e^(1/2)*x/(e*x^2+d)^(1/2))","x",1],
["atanh(e^(1/2)*x/(e*x^2+d)^(1/2))","x",1],
["atanh(e^(1/2)*x/(e*x^2+d)^(1/2))/x^2","x",1],
["atanh(e^(1/2)*x/(e*x^2+d)^(1/2))/x^4","x",1],
["atanh(e^(1/2)*x/(e*x^2+d)^(1/2))/x^6","x",1],
["x^(9/2)*atanh(e^(1/2)*x/(e*x^2+d)^(1/2))","x",1],
["x^(5/2)*atanh(e^(1/2)*x/(e*x^2+d)^(1/2))","x",1],
["x^(1/2)*atanh(e^(1/2)*x/(e*x^2+d)^(1/2))","x",1],
["atanh(e^(1/2)*x/(e*x^2+d)^(1/2))/x^(3/2)","x",1],
["atanh(e^(1/2)*x/(e*x^2+d)^(1/2))/x^(7/2)","x",1],
["atanh(e^(1/2)*x/(e*x^2+d)^(1/2))/x^(11/2)","x",1],
["atanh(e^(1/2)*x/(e*x^2+d)^(1/2))/x^(15/2)","x",1],
["x^(7/2)*atanh(e^(1/2)*x/(e*x^2+d)^(1/2))","x",1],
["x^(3/2)*atanh(e^(1/2)*x/(e*x^2+d)^(1/2))","x",1],
["atanh(e^(1/2)*x/(e*x^2+d)^(1/2))/x^(1/2)","x",1],
["atanh(e^(1/2)*x/(e*x^2+d)^(1/2))/x^(5/2)","x",1],
["atanh(e^(1/2)*x/(e*x^2+d)^(1/2))/x^(9/2)","x",1],
["x^3*atanh(b*x^4+a)","x",1],
["x^(-1+n)*atanh(a+b*x^n)","x",1],
["(a+b*atanh((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^n/(-c^2*x^2+1)","x",0],
["(a+b*atanh((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^3/(-c^2*x^2+1)","x",1],
["(a+b*atanh((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^2/(-c^2*x^2+1)","x",1],
["(a+b*atanh((-c*x+1)^(1/2)/(c*x+1)^(1/2)))/(-c^2*x^2+1)","x",1],
["1/(-c^2*x^2+1)/(a+b*atanh((-c*x+1)^(1/2)/(c*x+1)^(1/2)))","x",0],
["1/(-c^2*x^2+1)/(a+b*atanh((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^2","x",0],
["x^m*atanh(tanh(b*x+a))","x",1],
["x^2*atanh(tanh(b*x+a))","x",1],
["x*atanh(tanh(b*x+a))","x",1],
["atanh(tanh(b*x+a))","x",1],
["atanh(tanh(b*x+a))/x","x",1],
["atanh(tanh(b*x+a))/x^2","x",1],
["atanh(tanh(b*x+a))/x^3","x",1],
["atanh(tanh(b*x+a))/x^4","x",1],
["x^m*atanh(tanh(b*x+a))^2","x",1],
["x^3*atanh(tanh(b*x+a))^2","x",1],
["x^2*atanh(tanh(b*x+a))^2","x",1],
["x*atanh(tanh(b*x+a))^2","x",1],
["atanh(tanh(b*x+a))^2","x",1],
["atanh(tanh(b*x+a))^2/x","x",1],
["atanh(tanh(b*x+a))^2/x^2","x",1],
["atanh(tanh(b*x+a))^2/x^3","x",1],
["atanh(tanh(b*x+a))^2/x^4","x",1],
["atanh(tanh(b*x+a))^2/x^5","x",1],
["x^m*atanh(tanh(b*x+a))^3","x",1],
["x^3*atanh(tanh(b*x+a))^3","x",1],
["x^2*atanh(tanh(b*x+a))^3","x",1],
["x*atanh(tanh(b*x+a))^3","x",1],
["atanh(tanh(b*x+a))^3","x",1],
["atanh(tanh(b*x+a))^3/x","x",1],
["atanh(tanh(b*x+a))^3/x^2","x",1],
["atanh(tanh(b*x+a))^3/x^3","x",1],
["atanh(tanh(b*x+a))^3/x^4","x",1],
["atanh(tanh(b*x+a))^3/x^5","x",1],
["atanh(tanh(b*x+a))^3/x^6","x",1],
["x^m*atanh(tanh(b*x+a))^4","x",1],
["x^6*atanh(tanh(b*x+a))^4","x",1],
["x^5*atanh(tanh(b*x+a))^4","x",1],
["x^4*atanh(tanh(b*x+a))^4","x",1],
["x^3*atanh(tanh(b*x+a))^4","x",1],
["x^2*atanh(tanh(b*x+a))^4","x",1],
["x*atanh(tanh(b*x+a))^4","x",1],
["atanh(tanh(b*x+a))^4","x",1],
["atanh(tanh(b*x+a))^4/x","x",1],
["atanh(tanh(b*x+a))^4/x^2","x",1],
["atanh(tanh(b*x+a))^4/x^3","x",1],
["atanh(tanh(b*x+a))^4/x^4","x",1],
["atanh(tanh(b*x+a))^4/x^5","x",1],
["atanh(tanh(b*x+a))^4/x^6","x",1],
["atanh(tanh(b*x+a))^4/x^7","x",1],
["atanh(tanh(b*x+a))^4/x^8","x",1],
["atanh(tanh(b*x+a))^4/x^9","x",1],
["atanh(tanh(b*x+a))^4/x^10","x",1],
["atanh(tanh(b*x+a))^4/x^11","x",1],
["x*atanh(tanh(b*x+a))^6","x",1],
["x^m/atanh(tanh(b*x+a))","x",1],
["x^3/atanh(tanh(b*x+a))","x",1],
["x^2/atanh(tanh(b*x+a))","x",1],
["x/atanh(tanh(b*x+a))","x",1],
["1/atanh(tanh(b*x+a))","x",1],
["1/x/atanh(tanh(b*x+a))","x",1],
["1/x^2/atanh(tanh(b*x+a))","x",1],
["1/x^3/atanh(tanh(b*x+a))","x",1],
["x^m/atanh(tanh(b*x+a))^2","x",1],
["x^4/atanh(tanh(b*x+a))^2","x",1],
["x^3/atanh(tanh(b*x+a))^2","x",1],
["x^2/atanh(tanh(b*x+a))^2","x",1],
["x/atanh(tanh(b*x+a))^2","x",1],
["1/atanh(tanh(b*x+a))^2","x",1],
["1/x/atanh(tanh(b*x+a))^2","x",1],
["1/x^2/atanh(tanh(b*x+a))^2","x",1],
["1/x^3/atanh(tanh(b*x+a))^2","x",1],
["x^m/atanh(tanh(b*x+a))^3","x",1],
["x^4/atanh(tanh(b*x+a))^3","x",1],
["x^3/atanh(tanh(b*x+a))^3","x",1],
["x^2/atanh(tanh(b*x+a))^3","x",1],
["x/atanh(tanh(b*x+a))^3","x",1],
["1/atanh(tanh(b*x+a))^3","x",1],
["1/x/atanh(tanh(b*x+a))^3","x",1],
["1/x^2/atanh(tanh(b*x+a))^3","x",1],
["1/x^3/atanh(tanh(b*x+a))^3","x",1],
["x^4*atanh(tanh(b*x+a))^(1/2)","x",1],
["x^3*atanh(tanh(b*x+a))^(1/2)","x",1],
["x^2*atanh(tanh(b*x+a))^(1/2)","x",1],
["x*atanh(tanh(b*x+a))^(1/2)","x",1],
["atanh(tanh(b*x+a))^(1/2)","x",1],
["atanh(tanh(b*x+a))^(1/2)/x","x",1],
["atanh(tanh(b*x+a))^(1/2)/x^2","x",1],
["atanh(tanh(b*x+a))^(1/2)/x^3","x",1],
["atanh(tanh(b*x+a))^(1/2)/x^4","x",1],
["x^4*atanh(tanh(b*x+a))^(3/2)","x",1],
["x^3*atanh(tanh(b*x+a))^(3/2)","x",1],
["x^2*atanh(tanh(b*x+a))^(3/2)","x",1],
["x*atanh(tanh(b*x+a))^(3/2)","x",1],
["atanh(tanh(b*x+a))^(3/2)","x",1],
["atanh(tanh(b*x+a))^(3/2)/x","x",1],
["atanh(tanh(b*x+a))^(3/2)/x^2","x",1],
["atanh(tanh(b*x+a))^(3/2)/x^3","x",1],
["atanh(tanh(b*x+a))^(3/2)/x^4","x",1],
["x^4*atanh(tanh(b*x+a))^(5/2)","x",1],
["x^3*atanh(tanh(b*x+a))^(5/2)","x",1],
["x^2*atanh(tanh(b*x+a))^(5/2)","x",1],
["x*atanh(tanh(b*x+a))^(5/2)","x",1],
["atanh(tanh(b*x+a))^(5/2)","x",1],
["atanh(tanh(b*x+a))^(5/2)/x","x",1],
["atanh(tanh(b*x+a))^(5/2)/x^2","x",1],
["atanh(tanh(b*x+a))^(5/2)/x^3","x",1],
["atanh(tanh(b*x+a))^(5/2)/x^4","x",1],
["atanh(tanh(b*x+a))^(5/2)/x^5","x",1],
["atanh(tanh(b*x+a))^(5/2)/x^6","x",1],
["x^4/atanh(tanh(b*x+a))^(1/2)","x",1],
["x^3/atanh(tanh(b*x+a))^(1/2)","x",1],
["x^2/atanh(tanh(b*x+a))^(1/2)","x",1],
["x/atanh(tanh(b*x+a))^(1/2)","x",1],
["1/atanh(tanh(b*x+a))^(1/2)","x",1],
["1/x/atanh(tanh(b*x+a))^(1/2)","x",1],
["1/x^2/atanh(tanh(b*x+a))^(1/2)","x",1],
["1/x^3/atanh(tanh(b*x+a))^(1/2)","x",1],
["1/x^4/atanh(tanh(b*x+a))^(1/2)","x",1],
["x^4/atanh(tanh(b*x+a))^(3/2)","x",1],
["x^3/atanh(tanh(b*x+a))^(3/2)","x",1],
["x^2/atanh(tanh(b*x+a))^(3/2)","x",1],
["x/atanh(tanh(b*x+a))^(3/2)","x",1],
["1/atanh(tanh(b*x+a))^(3/2)","x",1],
["1/x/atanh(tanh(b*x+a))^(3/2)","x",1],
["1/x^2/atanh(tanh(b*x+a))^(3/2)","x",1],
["1/x^3/atanh(tanh(b*x+a))^(3/2)","x",1],
["1/x^4/atanh(tanh(b*x+a))^(3/2)","x",1],
["x^4/atanh(tanh(b*x+a))^(5/2)","x",1],
["x^3/atanh(tanh(b*x+a))^(5/2)","x",1],
["x^2/atanh(tanh(b*x+a))^(5/2)","x",1],
["x/atanh(tanh(b*x+a))^(5/2)","x",1],
["1/atanh(tanh(b*x+a))^(5/2)","x",1],
["1/x/atanh(tanh(b*x+a))^(5/2)","x",1],
["1/x^2/atanh(tanh(b*x+a))^(5/2)","x",1],
["1/x^3/atanh(tanh(b*x+a))^(5/2)","x",1],
["1/x^4/atanh(tanh(b*x+a))^(5/2)","x",1],
["x^(7/2)*atanh(tanh(b*x+a))","x",1],
["x^(5/2)*atanh(tanh(b*x+a))","x",1],
["x^(3/2)*atanh(tanh(b*x+a))","x",1],
["x^(1/2)*atanh(tanh(b*x+a))","x",1],
["atanh(tanh(b*x+a))/x^(1/2)","x",1],
["atanh(tanh(b*x+a))/x^(3/2)","x",1],
["atanh(tanh(b*x+a))/x^(5/2)","x",1],
["atanh(tanh(b*x+a))/x^(7/2)","x",1],
["x^(7/2)*atanh(tanh(b*x+a))^2","x",1],
["x^(5/2)*atanh(tanh(b*x+a))^2","x",1],
["x^(3/2)*atanh(tanh(b*x+a))^2","x",1],
["x^(1/2)*atanh(tanh(b*x+a))^2","x",1],
["atanh(tanh(b*x+a))^2/x^(1/2)","x",1],
["atanh(tanh(b*x+a))^2/x^(3/2)","x",1],
["atanh(tanh(b*x+a))^2/x^(5/2)","x",1],
["atanh(tanh(b*x+a))^2/x^(7/2)","x",1],
["x^(7/2)*atanh(tanh(b*x+a))^3","x",1],
["x^(5/2)*atanh(tanh(b*x+a))^3","x",1],
["x^(3/2)*atanh(tanh(b*x+a))^3","x",1],
["x^(1/2)*atanh(tanh(b*x+a))^3","x",1],
["atanh(tanh(b*x+a))^3/x^(1/2)","x",1],
["atanh(tanh(b*x+a))^3/x^(3/2)","x",1],
["atanh(tanh(b*x+a))^3/x^(5/2)","x",1],
["atanh(tanh(b*x+a))^3/x^(7/2)","x",1],
["x^(7/2)/atanh(tanh(b*x+a))","x",1],
["x^(5/2)/atanh(tanh(b*x+a))","x",1],
["x^(3/2)/atanh(tanh(b*x+a))","x",1],
["x^(1/2)/atanh(tanh(b*x+a))","x",1],
["1/x^(1/2)/atanh(tanh(b*x+a))","x",1],
["1/x^(3/2)/atanh(tanh(b*x+a))","x",1],
["1/x^(5/2)/atanh(tanh(b*x+a))","x",1],
["1/x^(7/2)/atanh(tanh(b*x+a))","x",1],
["x^(7/2)/atanh(tanh(b*x+a))^2","x",1],
["x^(5/2)/atanh(tanh(b*x+a))^2","x",1],
["x^(3/2)/atanh(tanh(b*x+a))^2","x",1],
["x^(1/2)/atanh(tanh(b*x+a))^2","x",1],
["1/x^(1/2)/atanh(tanh(b*x+a))^2","x",1],
["1/x^(3/2)/atanh(tanh(b*x+a))^2","x",1],
["1/x^(5/2)/atanh(tanh(b*x+a))^2","x",1],
["1/x^(7/2)/atanh(tanh(b*x+a))^2","x",1],
["x^(7/2)/atanh(tanh(b*x+a))^3","x",1],
["x^(5/2)/atanh(tanh(b*x+a))^3","x",1],
["x^(3/2)/atanh(tanh(b*x+a))^3","x",1],
["x^(1/2)/atanh(tanh(b*x+a))^3","x",1],
["1/x^(1/2)/atanh(tanh(b*x+a))^3","x",1],
["1/x^(3/2)/atanh(tanh(b*x+a))^3","x",1],
["1/x^(5/2)/atanh(tanh(b*x+a))^3","x",1],
["1/x^(7/2)/atanh(tanh(b*x+a))^3","x",1],
["x^(3/2)*atanh(tanh(b*x+a))^(1/2)","x",1],
["x^(1/2)*atanh(tanh(b*x+a))^(1/2)","x",1],
["atanh(tanh(b*x+a))^(1/2)/x^(1/2)","x",1],
["atanh(tanh(b*x+a))^(1/2)/x^(3/2)","x",1],
["atanh(tanh(b*x+a))^(1/2)/x^(5/2)","x",1],
["atanh(tanh(b*x+a))^(1/2)/x^(7/2)","x",1],
["atanh(tanh(b*x+a))^(1/2)/x^(9/2)","x",1],
["atanh(tanh(b*x+a))^(1/2)/x^(11/2)","x",1],
["x^(3/2)*atanh(tanh(b*x+a))^(3/2)","x",1],
["x^(1/2)*atanh(tanh(b*x+a))^(3/2)","x",1],
["atanh(tanh(b*x+a))^(3/2)/x^(1/2)","x",1],
["atanh(tanh(b*x+a))^(3/2)/x^(3/2)","x",1],
["atanh(tanh(b*x+a))^(3/2)/x^(5/2)","x",1],
["atanh(tanh(b*x+a))^(3/2)/x^(7/2)","x",1],
["atanh(tanh(b*x+a))^(3/2)/x^(9/2)","x",1],
["atanh(tanh(b*x+a))^(3/2)/x^(11/2)","x",1],
["atanh(tanh(b*x+a))^(3/2)/x^(13/2)","x",1],
["x^(1/2)*atanh(tanh(b*x+a))^(5/2)","x",1],
["atanh(tanh(b*x+a))^(5/2)/x^(1/2)","x",1],
["atanh(tanh(b*x+a))^(5/2)/x^(3/2)","x",1],
["atanh(tanh(b*x+a))^(5/2)/x^(5/2)","x",1],
["atanh(tanh(b*x+a))^(5/2)/x^(7/2)","x",1],
["atanh(tanh(b*x+a))^(5/2)/x^(9/2)","x",1],
["atanh(tanh(b*x+a))^(5/2)/x^(11/2)","x",1],
["atanh(tanh(b*x+a))^(5/2)/x^(13/2)","x",1],
["atanh(tanh(b*x+a))^(5/2)/x^(15/2)","x",1],
["x^(5/2)/atanh(tanh(b*x+a))^(1/2)","x",1],
["x^(3/2)/atanh(tanh(b*x+a))^(1/2)","x",1],
["x^(1/2)/atanh(tanh(b*x+a))^(1/2)","x",1],
["1/x^(1/2)/atanh(tanh(b*x+a))^(1/2)","x",1],
["1/x^(3/2)/atanh(tanh(b*x+a))^(1/2)","x",1],
["1/x^(5/2)/atanh(tanh(b*x+a))^(1/2)","x",1],
["1/x^(7/2)/atanh(tanh(b*x+a))^(1/2)","x",1],
["1/x^(9/2)/atanh(tanh(b*x+a))^(1/2)","x",1],
["x^(7/2)/atanh(tanh(b*x+a))^(3/2)","x",1],
["x^(5/2)/atanh(tanh(b*x+a))^(3/2)","x",1],
["x^(3/2)/atanh(tanh(b*x+a))^(3/2)","x",1],
["x^(1/2)/atanh(tanh(b*x+a))^(3/2)","x",1],
["1/x^(1/2)/atanh(tanh(b*x+a))^(3/2)","x",1],
["1/x^(3/2)/atanh(tanh(b*x+a))^(3/2)","x",1],
["1/x^(5/2)/atanh(tanh(b*x+a))^(3/2)","x",1],
["1/x^(7/2)/atanh(tanh(b*x+a))^(3/2)","x",1],
["x^(7/2)/atanh(tanh(b*x+a))^(5/2)","x",1],
["x^(5/2)/atanh(tanh(b*x+a))^(5/2)","x",1],
["x^(3/2)/atanh(tanh(b*x+a))^(5/2)","x",1],
["x^(1/2)/atanh(tanh(b*x+a))^(5/2)","x",1],
["1/x^(1/2)/atanh(tanh(b*x+a))^(5/2)","x",1],
["1/x^(3/2)/atanh(tanh(b*x+a))^(5/2)","x",1],
["1/x^(5/2)/atanh(tanh(b*x+a))^(5/2)","x",1],
["1/x^(7/2)/atanh(tanh(b*x+a))^(5/2)","x",1],
["x^m*atanh(tanh(b*x+a))^n","x",1],
["x^4*atanh(tanh(b*x+a))^n","x",1],
["x^3*atanh(tanh(b*x+a))^n","x",1],
["x^2*atanh(tanh(b*x+a))^n","x",1],
["x*atanh(tanh(b*x+a))^n","x",1],
["atanh(tanh(b*x+a))^n","x",1],
["atanh(tanh(b*x+a))^n/x","x",1],
["atanh(tanh(b*x+a))^n/x^2","x",1],
["atanh(tanh(b*x+a))^n/x^3","x",1],
["x^m*acoth(tanh(b*x+a))","x",1],
["x^2*atanh(coth(b*x+a))","x",1],
["x*atanh(coth(b*x+a))","x",1],
["atanh(coth(b*x+a))","x",1],
["atanh(coth(b*x+a))/x","x",1],
["atanh(coth(b*x+a))/x^2","x",1],
["atanh(coth(b*x+a))/x^3","x",1],
["atanh(cosh(x))","x",1],
["x*atanh(cosh(x))","x",1],
["x^2*atanh(cosh(x))","x",1],
["x^2*atanh(c+d*tanh(b*x+a))","x",1],
["x*atanh(c+d*tanh(b*x+a))","x",1],
["atanh(c+d*tanh(b*x+a))","x",1],
["atanh(c+d*tanh(b*x+a))/x","x",0],
["x^3*atanh(1+d+d*tanh(b*x+a))","x",1],
["x^2*atanh(1+d+d*tanh(b*x+a))","x",1],
["x*atanh(1+d+d*tanh(b*x+a))","x",1],
["atanh(1+d+d*tanh(b*x+a))","x",1],
["atanh(1+d+d*tanh(b*x+a))/x","x",0],
["-x^3*atanh(-1+d+d*tanh(b*x+a))","x",1],
["-x^2*atanh(-1+d+d*tanh(b*x+a))","x",1],
["-x*atanh(-1+d+d*tanh(b*x+a))","x",1],
["-atanh(-1+d+d*tanh(b*x+a))","x",1],
["-atanh(-1+d+d*tanh(b*x+a))/x","x",0],
["x^2*atanh(c+d*coth(b*x+a))","x",1],
["x*atanh(c+d*coth(b*x+a))","x",1],
["atanh(c+d*coth(b*x+a))","x",1],
["atanh(c+d*coth(b*x+a))/x","x",0],
["x^3*atanh(1+d+d*coth(b*x+a))","x",1],
["x^2*atanh(1+d+d*coth(b*x+a))","x",1],
["x*atanh(1+d+d*coth(b*x+a))","x",1],
["atanh(1+d+d*coth(b*x+a))","x",1],
["atanh(1+d+d*coth(b*x+a))/x","x",0],
["-x^3*atanh(-1+d+d*coth(b*x+a))","x",1],
["-x^2*atanh(-1+d+d*coth(b*x+a))","x",1],
["-x*atanh(-1+d+d*coth(b*x+a))","x",1],
["-atanh(-1+d+d*coth(b*x+a))","x",1],
["-atanh(-1+d+d*coth(b*x+a))/x","x",0],
["(f*x+e)^3*atanh(tan(b*x+a))","x",1],
["(f*x+e)^2*atanh(tan(b*x+a))","x",1],
["(f*x+e)*atanh(tan(b*x+a))","x",1],
["atanh(tan(b*x+a))","x",1],
["atanh(tan(b*x+a))/(f*x+e)","x",0],
["x^2*atanh(c+d*tan(b*x+a))","x",1],
["x*atanh(c+d*tan(b*x+a))","x",1],
["atanh(c+d*tan(b*x+a))","x",1],
["atanh(c+d*tan(b*x+a))/x","x",0],
["x^2*atanh(1-I*d+d*tan(b*x+a))","x",1],
["x*atanh(1-I*d+d*tan(b*x+a))","x",1],
["atanh(1-I*d+d*tan(b*x+a))","x",1],
["atanh(1-I*d+d*tan(b*x+a))/x","x",0],
["-x^2*atanh(-1-I*d+d*tan(b*x+a))","x",1],
["-x*atanh(-1-I*d+d*tan(b*x+a))","x",1],
["-atanh(-1-I*d+d*tan(b*x+a))","x",1],
["-atanh(-1-I*d+d*tan(b*x+a))/x","x",0],
["(f*x+e)^3*atanh(cot(b*x+a))","x",1],
["(f*x+e)^2*atanh(cot(b*x+a))","x",1],
["(f*x+e)*atanh(cot(b*x+a))","x",1],
["atanh(cot(b*x+a))","x",1],
["atanh(cot(b*x+a))/(f*x+e)","x",0],
["x^2*atanh(c+d*cot(b*x+a))","x",1],
["x*atanh(c+d*cot(b*x+a))","x",1],
["atanh(c+d*cot(b*x+a))","x",1],
["atanh(c+d*cot(b*x+a))/x","x",0],
["x^2*atanh(1+I*d+d*cot(b*x+a))","x",1],
["x*atanh(1+I*d+d*cot(b*x+a))","x",1],
["atanh(1+I*d+d*cot(b*x+a))","x",1],
["atanh(1+I*d+d*cot(b*x+a))/x","x",0],
["-x^2*atanh(-1+I*d+d*cot(b*x+a))","x",1],
["-x*atanh(-1+I*d+d*cot(b*x+a))","x",1],
["-atanh(-1+I*d+d*cot(b*x+a))","x",1],
["-atanh(-1+I*d+d*cot(b*x+a))/x","x",0],
["atanh(exp(x))","x",1],
["x*atanh(exp(x))","x",1],
["x^2*atanh(exp(x))","x",1],
["atanh(exp(b*x+a))","x",1],
["x*atanh(exp(b*x+a))","x",1],
["x^2*atanh(exp(b*x+a))","x",1],
["atanh(a+b*f^(d*x+c))","x",1],
["x*atanh(a+b*f^(d*x+c))","x",1],
["x^2*atanh(a+b*f^(d*x+c))","x",1],
["exp(c*(b*x+a))*atanh(sinh(b*c*x+a*c))","x",1],
["exp(c*(b*x+a))*atanh(cosh(b*c*x+a*c))","x",1],
["exp(c*(b*x+a))*atanh(tanh(b*c*x+a*c))","x",1],
["exp(c*(b*x+a))*atanh(coth(b*c*x+a*c))","x",1],
["exp(c*(b*x+a))*atanh(sech(b*c*x+a*c))","x",1],
["exp(c*(b*x+a))*atanh(csch(b*c*x+a*c))","x",1],
["(a+b*atanh(c*x^n))*(d+e*log(f*x^m))/x","x",1]]