$\frac{d}{dx}\left(x^2y-x^3+y^4-xy+2\right)$

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

$\left(x+6\right)\left(3x^2-4x+2\right)$

$\frac{5ab^2}{20ab}$

$\lim_{x\to\infty}\left(\frac{-15x}{\left(lnx\right)^3+3x}\right)$

$\lim_{x\to0}\left(\frac{sin\left(2x\right)+7x^2+2x}{x^2\left(x+1\right)^2}\right)$

$576\:.\:552$