$5x^3\cdot\:3x^2y\cdot\:\left(-4xz^3\right)$

$-7mn\:+\:3mn$

$\frac{dx}{dt}=\left(t+1\right)\left(cos\left(x\right)\right)^2$

$\frac{dy}{dx}\:\sqrt{x\left(x+11\right)}$

$100\frac{dy}{dx}+\frac{1}{100}y=12$

$\left(x^4-81\right)\left(x-3\right)$

$\left(5z^2+3z+2\right)^2$