$-x+\left(x^3+x^2\right)^{\frac{1}{3}}$

$\frac{x^4-3x^3+2x-3\:}{x^3-2}$

$\log\left(3x^2-12\right)-\log\left(x+2\right)=\log\left(6\right)$

$16x^3y^2+24x^4y$

$\lim_{x\to\infty}\left(x\left(\arctan\left(x\right)+\arccos\left(\frac{1}{x}\right)\right)\right)$

$\lim_{x\to\infty}\left(\frac{8x^2}{2+6x+2x^2}\right)$