$\int\sin\left(x\right)\cdot\sin^3\left(\cos\left(x\right)\right)dx$

$\frac{\sqrt[3]{x}+1}{\left(x+1\right)\left(2x+3\right)}$

$12x^3-16x^3$

$\log_{\frac{1}{3}}\left(\frac{9\sqrt[5]{x}}{\sqrt[3]{yz}}\right)$

$\frac{-6x^3+3x^2-2x+1}{x}$

$\frac{1}{4}-\frac{x^2-1}{2}$

$\left(4a^5+7a^4b\right)\left(4a^5+5a^2b\right)$