$\left(2x-3\right)\cdot\left(\left(1+2x\right)^{\left(2\right)}-x\right)$

$\frac{x^2-6x+28}{x^2-10x+24}$

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

$\int x^3\left(\sqrt[3]{x^4+9}\right)dx$

$9-\frac{1}{3}x=2$

$\frac{dy}{dx}=sen\:\left(x-y\right)$

$\frac{d}{dx}\left(y=ax^2+bx+c\right)$