$\left(2x^2\right)\left(-3x^{-6}\right)$

$\int_{-\infty}^{-4}\left(\frac{1}{x\left(2x+5\right)}\right)dx$

$8x^2y-24x^3y^4$

$x^2+x+6x-2$

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

$\lim_{x\to0}\left(\frac{x^2\log\left(2\right)-4\log\left(x\right)}{x^2-4}\right)$

$f\left(x\right)=-3+2^{\left(x\:sgn\left(x^{\left(2\right)}-1\right)\right)}$