$8x^2y:\:2x:\:2y$

$3a^3-3a^2+9a^2-a^2+ab-3b^2$

$\frac{d}{dx}\left(\frac{\left(lnx\right)^x}{2^{5x+1}}\right)$

$\left(\tan\left(x\right)\cdot\csc\left(x\right)+\tan\left(x\right)\right)\cdot\cos\left(x\right)$

$\frac{d}{dx}\left(1+tan\left(xy\right)=-2\right)$

$\int\frac{x^2-1}{x^4+5x^3+5x^2-5x-6}dx$

$\frac{-40xy^2}{-2^3xy}$