$\frac{dy}{dx}=x^7y$

$2m^2n^3-4m^3n^4+8m^2n^3$

$\lim_{x\to0}\left(\frac{4x-3x^2+8x^3}{2x-5x^2}\right)$

$\frac{2}{\tan\left(x\right)\csc\left(x\right)^2}=\sin\left(2x\right)$

$3x^2-1\left(1-3y\right)-y$

$\frac{dy}{dx}=3\sqrt{x}\sqrt{y}$

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