$\lim_{x\to3}\left(\frac{\sqrt[3]{2x+2}-2}{\sqrt{x}-\sqrt{2}}\right)$

$\frac{dy}{dx}+\left(2x+1\right)y=e^{-x^2}$

$81w^2-18w+1$

$132,332\:+\:44,12\:=\:$

$\left(x^5+5\right)^2$

$\left(-\:6\right)\:+\left(-\:4\right)\:\:-\left(-\:\:9\right)\:\:+\left(-\:\:1\right)\:\:-\left(-\:\:4\right)$

$\lim_{x\to0}\left(\frac{\sin\left(7x\right)}{x}-\frac{1-\cos\left(x\right)}{2x}\right)$