$\sqrt{xy}+\tan\left(y\right)-1$

$\lim_{x\to\infty}\left(\frac{4x^2+5x-2}{\sqrt{x^4-3x+2}}\right)$

$1+\:\csc\left(a\right)\:=\:\csc\left(a\right)\left(1\:+\:\sin\left(a\right)\right)$

$\left(m^4+5\right)\left(m-2\right)\left(m^4+4\right)\left(m+2\right)$

$\left|\left(-3\right)^6:\left(-3\right)^3\right|^3\cdot\left(-3\right)^0\cdot\left(-3\right)^{-4}$

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

$\int\left(\frac{e^x}{e^{3x}-e^x}\right)dx$