$\frac{x^4+3x^3-3x+2}{x^2-1}$

$\int\:\left(\tan4y^2\right)ydy$

$\frac{d^2}{dx^2}\left(-\frac{1}{4}x^{-4}-\frac{1}{16}+\frac{1}{4}x^4\right)$

$-11a-2\left(12a\right)\:+2$

$\frac{cot\left(x\right)-cos\left(x\right)}{cos^3\left(x\right)}$

$\left(m^2-2n^2+2\right)+\left(m-7\right)\cdot\left(1-m\right)$

$\cos\:\left(-u\right)=\cos\:\left(u\right)$