$\left(2m^3n^6+5m^2n^7\right)^3$

$-\int\left(\frac{e^{-x}}{1+e^x}\right)dx$

$\lim_{x\to0}\frac{\sin^2\left(\frac{x}{2}\right)}{5x}$

$3x^2+4x^2+7$

$\lim_{x\to0}\left(\frac{\sqrt{9+h}-3}{h}\right)$

$2x^4-\:5x^3-11x^2+20x+12$

$\int\frac{18x-122}{\left(4x-1\right)\left(x-4\right)}dx$