$\frac{1}{csc\left(-31.5\right)^2-1}$

$\left(\frac{b^2}{a^3}\right)^4$

$\int\left(\frac{3\:2^x-2\:3^x}{2^x}\right)dx$

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

$\:-3\:x\:\:4\:\:x\:\:-2\:\:\:x\:-1$

$\left(-6x^3-8x^2-13+6x^4\right):\left(2x-4\right)$