$\frac{1}{csc^2x-1}$

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

$\lim_{x\to-6}\left(\frac{x^2+7x+6}{x+6}\right)$

$-4732+-3269$

$\left(a^3-4\right)\left(a^6+4a^3+16\right)$

$\left(2\cos x-\sqrt{2}\right)\left(2\sin x+1\right)=0$

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