$\frac{\csc\left(x\right)}{\cot\left(x\right)}\cdot\sin\left(x\right)$

$\left(2x\right)^3\cdot x^2\cdot x^{-7}\cdot2x^2$

$\left(5^0\right)^3$

$\lim_{x\to2}\left(\frac{\sin\left(x\right)\left(1-\cos\left(x\right)\right)}{2x^2}\right)$

$\frac{dx}{dt}=8-3y$

$\sin^2b\left(1+\cot^2b\right)$

$8x^{4}y+7x^{4}y^{2}-6x^{4}y-2x^{4}y^{2}$