$3x+5<5x-3$

$\int\frac{\ln\left(\left|x\right|\right)}{x}dx$

$-320y+40y+-20y$

$\int\left(\frac{\left(1e^{2x}\right)^3}{e^{-2x}}\right)dx$

$\frac{dy}{dx}\left(4+5x\right)^{\frac{2}{x}}$

$\frac{4x^2+16x+16}{x+2}$

$\lim_{x\to0}\left(\frac{1}{x\cdot\:sin\left(x\right)}-\frac{1}{x\cdot\:tan\left(x\right)}\right)$