$\left(\frac{1}{\sin\left(x\right)^4}\right)-\left(\frac{\cos\left(x\right)^4}{\sin\left(x\right)^4}\right)$

$8x^3-\:6x^2+7x+\:16x\:-2$

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

$y'=\frac{\left(2\sqrt{x}-3\sqrt[3]{x^2}\right)}{\sqrt{x}}$

$\int x\left(\sqrt{5x-1}\right)dx$

$\frac{\left(6x^3+27x^2+12x\right)}{\left(x-1\right)}$

$3x^2+9x+12$