$\frac{2x}{xy}$

$\int\frac{x^2+19x+10}{x^2(5x+2)}dx$

$2x^2+8x-5x^3$

$\lim\:_{x\to\:1}\left(\frac{\log\:_e\left(x\right)+1-e^{x-1}}{\log\:_e\left(x\right)\cdot\:\:e^{x-1}}\right)$

$4xy+x+2xy$

$\lim_{x\to\infty}\left(1-2x\right)$

$\frac{5}{3}n^2m^3+\frac{1}{2}n^3m^2+\left(-\frac{1}{3}n^2m^3\right)+2n^3m^2$