$-6\cdot\left(-7\right)\cdot\left(-8\right)\cdot0$

$\frac{\left(-1\right)^nx^{n+1}}{5^n}$

$\int\left(10x^2\right)\left(1+5x^3\right)^{\frac{2}{3}}dx$

$\lim_{x\to0}\left(\frac{2sin\left(x\right)-sin\left(2x\right)}{x-sin\left(x\right)}\right)$

$\frac{dy}{dx}=\frac{x-4}{\sqrt{x^2-8x+1}}$

$4x^2+5x-8-7x^2-3x+9$

$\frac{d}{dx}\:10^x$