$\frac{\left(3y^3\right)\left(2y^2\right)^2}{\left(y^4\right)^3}.\left(y^3\right)^0$

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

$11+10y-7y$

$\left(x^2+3\right)^4$

$\frac{1+\sin\left(a\right)}{\cos\left(a\right)}+\frac{\cos\left(\:a\right)}{\sin\left(a\right)}=\frac{1\:\:+\sin\left(\:a\right)}{\sin\left(a\right)\cos\left(a\right)}$

$\frac{dy}{dx}=\frac{5x^2+xy+5y^2}{x^2}$

$\frac{dy}{dx}=x^6\left(y^{-7}\right)$