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

$\frac{24x^8-24x^2+46x-20}{4x-2}$

$13\left(n+11\right)=20n+59$

$\lim_{x\to7}\left(\frac{x-7}{\left(x^2-7\right)}\right)$

$2\left(5-3\cdot4\right)$

$\frac{d^3}{dx^3}e^{3x}$

$\frac{dy}{dx}=\frac{3x^2+x-3}{3y^4}$