$\frac{x-30}{x^2+x-30}$

$\sin\left(5x\right)=5\sin\left(x\right)-20\sin^3\left(x\right)+16\sin^5\left(x\right)$

$\lim_{x\to0}\left(\frac{\cos\left(x\right)}{x^2+1}\right)$

$\left(2x^213\right)^5$

$8ab^2-4a^2b+4a^2b^2$

$\frac{dy}{dx}=\frac{e^{-y}e^x\left(1+e^{-2x}\right)}{y}$

$\frac{dy}{dx}=4x^{\frac{2}{3}}-6x^2-x^{-6}$