$\lim_{x\to-\infty}\left(\frac{x^3+x^2+5x-3}{x^2+2x+5}\right)$

$\frac{dy}{dt}=\frac{2y\left(1-y\right)}{5}$

$\int\frac{x^4+1}{x^3-x}dx$

$\int e^{-17x}dx$

$\lim_{x\to-\infty}\frac{2}{x}-\frac{4x^2}{x^2-1}$

$\left(12x+6\right)\left(3x+14\right)$

$\frac{x^2-3}{x^3+3x^2+3x+1}$