$\frac{dy}{dx}\left(\frac{4x+y}{x-2y}\right)=8$

$\frac{x^4+2}{x^2+5x+1}$

$\lim_{x\to0}\left(\frac{2x\:+ln\left(x\right)}{2x\:-ln\left(x\right)}\right)$

$\frac{sin\left(5x\right)-sin\left(3x\right)}{sin\left(5x\right)+sin\left(3x\right)}$

$\lim_{x\to0}\left(\frac{x^3-sin\left(x\right)}{x^5}\right)$

$\left(\frac{3h^{4}y^{3}}{5h^{2}y}\right)^{3}$

$3x-9x+1$