$\frac{\cot\left(x\right)\sin\left(x\right)}{\cot\left(x\right)\tan\left(x\right)-\sin\left(x\right)^2}$

$\frac{csc^4\theta\:-1}{cot^2\theta\:}=2+cot^2\theta\:$

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

$log4\left(\frac{1}{1024}\right)$

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

$\frac{600}{x^2+300}<500$

$\int\left(\sqrt{x}-1\right)^2dx$