$x^2+32x+256$

$8x-3-6x\ge10x-11$

$\frac{d}{dx}\left(y^2cos\left(x\right)+\frac{sin\left(y\right)}{tan\left(x\right)}=\sqrt{x}\right)$

$\frac{12x^2}{-3x^8}$

$\sin\left(x\right)\sqrt{\sec^2\left(y\right)-1}$

$\left(e^x+e^{-x}\right)^2dx+\left(y-2\right)^2e^{3\left(x+y\right)}dy=0$

$\frac{dy}{dx}=\frac{x^2+2}{4y^3}$