$1^{-7}$

$x^2-10x^2-25$

$\lim_{w\to7}\left(\frac{cos\left(wt\right)-cos\left(7t\right)}{49-w^2}\right)$

$2x\left(3x-1\right)$

$\lim_{x\to\infty}\left(\frac{x+5-\frac{2}{x}-\frac{1}{x^3}}{3x+12-\frac{1}{x^2}}\right)$

$\left(x^y+x^{-4}\right)^2$

$\frac{dy}{dx}=\frac{9-y^2}{10}$