$\frac{6x^2-24x-462}{x+7}$

$\lim_{x\to3}\left(\frac{5x^3-22x^2-3x+72}{7x^3-45x^2+81x-27}\right)$

$\frac{d^4}{dx^4}\left(\sin\left(xy\right)-\cos\left(xy\right)\right)$

$x^2+10x+27\ge0$

$10-9\:.\:\left(-6\right)$

$\int_{-a}^0\left(x\cdot e^{-x}\right)dx$

$\left(x-8\right)\left(-x-2\right)$