$\left(x+6\right)\left(x+3\right)-3\left(x-9\right)$

$\:\left(\frac{x^7-128}{x^2}\right)$

$5^0-5^{-1}$

$\int\arccot\left(\frac{x}{2}\right)dx$

$\left(3y^2\right)^4\left(4y^2\right)^{-3}$

$\lim_{x\to\frac{\pi}{4}}\left(\frac{\cos^2\left(x\right)}{\sqrt{2}}\right)$

$\frac{1+sin^2\:\left(\frac{x}{2}\right)}{1+cos^2\left(\frac{x}{2}\right)}$