$\int\frac{-3x^2+2}{x^3+4x^2}dx$

$\frac{x^2-4x-45}{x-81}$

$\left(\left(10x^2-13y^5\right)\left(13y^5+10x^2\right)\right)$

$\frac{dy}{dx}=\frac{30}{x^7}-2+24x^7$

$\frac{d^2}{dx^2}\left(y^2+2xy=16\right)$

$\lim_{x\to0}\left(\frac{x^2-8x+15}{x^3-5x^2}\right)$

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