$\left(4x^2y^2z\right)\left(-2x^3y^4z^2\right)$

$\left(x^2+3\right)^{-\frac{1}{3}}-\frac{2}{3}x^2\left(x^2+3\right)^{-\frac{4}{3}}$

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

$\int\frac{\sin\left(x\right)}{1-\cos\left(x\right)}dx$

$\int\frac{2x^4+x^2-1}{x^4\left(x^2-1\right)}dx$

$\frac{dy}{dx}=\frac{y}{4}-\frac{x}{4}$

$\left(u^3v^{-2}\right)^3$