$\int\frac{3x+2}{\left(x^2\right)\left(x^2+2x+2\right)}dx$

$32x^2+18x=-17$

$\int x^2\cdot\left(x-3\right)^{\frac{-3}{2}}$

$81m^2-18mn^2+n^4$

$\int_1^{\infty}\left(\frac{21}{221x+110+110x^2}\right)dx$

$6x-4>5x+6$

$10-\left(\frac{1}{20}\right)\left(\frac{100}{1+e^{\left(10-.5x\right)}}\right)\left(\frac{100}{1+e^{\left(10-.5x\right)}}\right)$