$\frac{x^3-12x+15}{x-3}$

$-2y\frac{dy^2}{dx^2}+5\frac{dy}{dx}+10y=0$

$\left(5x^2-7xy+11y^2+4y\right)+\left(2x^2+3xy-6y^2-2y+3x\right)$

$\frac{dy}{dx}=\frac{\sin\left(x\right)}{1-\cos\left(x\right)}$

$-3\left(x-5\right)^2-12$

$2x+4>24$

$\lim_{x\to0}\left(\frac{\sqrt{x}}{x^2+1}\right)$