$\frac{csc\left(x\right)+2cos\left(x\right)}{1+cot\left(x\right)}+\frac{1-cot\left(x\right)}{csc\left(x\right)}$

$\int12x\:5^x\:dx$

$-24x+3x^3-6x^2$

$\frac{2^{\infty}-2^{\infty}}{3^{\infty}-3^{\infty}}$

$\frac{3x^3-x^2-16x+12}{x-2}$

$\left[\frac{\sqrt[3]{27a\:\sqrt{b^{-3}}}\:a^{-\frac{1}{3}}\:b}{\sqrt{b^{-1}}\sqrt{16a^2}}\right]^{-1}$

$x^2-6x+9=12$