$\frac{dy}{dx}=\frac{x}{y^3-5}$

$x^2+17x+16$

$8m^2n+40m^2-16mn$

$\frac{d}{dx}-3x^2+17x-10$

$\lim_{t\to\infty}\left(\frac{t\cdot y\cdot\left(4-y\right)}{1+t}\right)$

$\lim_{x\to-2}\left(\frac{x^3+3x^2-4}{\:x^2-x-6}\right)$

$\lim_{x\to0}\left(\frac{xcosx-sinx}{\left(ln\left(1+x\right)\right)^3}\right)$