$y^4-40y^2+124$

$x\frac{dy}{dx}+y=2y^{-2}$

$\frac{5}{\sin\left(x\right)}-\frac{4}{\csc\left(x\right)}=5\csc\left(x\right)-5\sin\left(x\right)$

$3x^2-27=24x$

$\int\left(x^2-9\right)^{-\frac{5}{2}}dx$

$\lim_{x\to0}\left(\frac{\sin\left(x^3\right)}{x-\tan\left(x\right)}\right)$

$\left(x+1\right)^3=\left(y-1\right)^2$