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

$\frac{d}{dx}\left(yx^2+e^{\left(x\right)}-\:cos\:\left(y\right)=5\right)$

$\left(1+\csc\left(x\right)\right)\left(1-\sin\left(x\right)\right)=\cot\left(x\right)$

$\frac{5x+3}{3x-2}-\frac{x-1}{x-3}=\frac{2x+3}{x-3}$

$x^4+8x^3+21x^2+22x+8$

$\int x\left(5+x^2\right)dx$

$\int\frac{x}{x-9}dx$