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

$2x+y=0\:$

$\int\:12x^3\left(x^4+1\right)^9dx$

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

$\frac{dy}{dx}=\frac{-y}{x-y+2}$

$\left(x^42+2\right)\left(x^4+3\right)$

$\int\left(\frac{\left(5+\frac{1}{x^2}\right)^4}{x^3}\right)dx$