$\frac{d}{dx}1+x+x^2+x^3+x^4+x^5$

$\frac{dy}{dx}=\frac{x\left(\log\left(x\right)+1\right)}{siny+ycosy}$

$\frac{d}{dx}p^3-5p^2+500$

$\frac{d}{dx}\left(\frac{\left(2x^3+1\right)e^{x^7}}{x^2}\right)$

$\left(\frac{p^{-2}}{p^{-7}}\right)^{\frac{3}{10}}$

$\left(\:5-8a\:\right)\left(\:5+8a\:\right)$

$\left(2a^2\right)\left(2a^5\right)$