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

$2ax^4-20x^3+8a^4x^7$

$m^2-5m^2$

$\left(xz^3\right)\left(\frac{x^2y^{-1}}{3z^2}\right)^{-2}$

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

$x^2+2x^3-2x^2+2x-3$

$\lim_{x\to0}\left(\frac{2-2\cos\left(x\right)}{sin\:7x}\right)$