$\lim_{n\to0}\left(n\cdot\sin\left(\frac{\pi}{n}\right)\right)$

$p^2+4p+4$

$\lim_{x\to-3}\left(\frac{x^2+8xe15}{x^2+x-12}\right)$

$\int\frac{x-2}{\left(x^2+2x+2\right)\left(x-4\right)}dx$

$\frac{dy}{dx}-4xy=x,\:y\left(0\right)=-\frac{1}{4}$

$\left(\frac{1}{6}a-2b\right)^3$

$\frac{dy}{dx}=\frac{-2x-4y}{y-x}$