$\lim_{x\to1}\left(\frac{4x}{2x^2-e^{x-1}}\right)$

$-5ab^5-14ab^5$

$\int\left(x^3+x\right)\left(\sqrt{x^2+3}\right)dx$

$\left(x^3-8y\right)\cdot\left(x^3+y^2\right)$

$\frac{d}{dx}5x^{\frac{-2}{3}}-5x^{-2}+3x^{\frac{2}{3}}$

$2\left(x-3\right)\ge4x+2y$

$\frac{dy}{dx}+x=\frac{y}{x}$