$\frac{1}{\left(z-2\right)\left(z-3\right)}$

$\frac{64n^{27}-125}{4n^9+5}$

$\lim\:_{x\to\:-4}\left(\frac{x^3+\:3x^2+\:2x}{x+2}\right)$

$\lim_{a\to5}\left(\frac{a^{2}-25}{2-\sqrt{a-1}}\right)$

$\frac{2^{16}}{4^6}$

$\frac{dy}{dx}=\frac{-ax}{2}$

$\frac{dx}{dt}\:+\:xt\:=\:0,\:x\left(0\right)\:=\:5$