$\frac{csc\:\left(2\alpha\:\right)\:\:\:csc\left(2\beta\:\:\right)\:}{cot\left(2\alpha\:\right)\:\:cot\left(2\beta\:\right)\:\:-1}$

$\lim_{x\to0}\left(1-3x\right)^{\frac{2}{x}}$

$\left(b^2+5a\right)^3$

$\frac{d^3y}{dx^3}\left(x^3-2x^2-5x+2\right)$

$\sqrt[n]{a^m}$

$w^2+12w$

$x^{\frac{x^2}{\left(x^4+16\right)}}$