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

$\int\frac{2x^2}{\sqrt{4x^2+4}}dx$

$\frac{4\log\left(5\right)\left(x^3y^4z^7\right)}{\left(m^3w^5\right)^{\frac{1}{4}}}$

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

$\frac{xdy}{ydx}=-1$

$\lim_{x\to\infty}\left(\frac{2x+1}{2x+12}\right)^{-x^2}$

$\frac{6x^4+23x^2+4x+15}{x^2+3}$