$\frac{dy}{dx}=y+y^2$

$x^4+4x^2-12$

$\frac{3x^2-7x-20}{x+5}$

$\frac{\left(x^2+2x\right)\cdot\left(x^2-2x-3\right)}{\left(x+3\right)\cdot\left(x-1\right)}-24$

$\lim_{x\to\infty}\left(\frac{2x+1}{2x-2}-1\right)\cdot2x+1$

$\int_{-\pi}^{\pi}\left(2\pi\right)dx$

$\frac{a^2-2a\:-\:3}{a\:+\:1}$