$\sqrt[4]{\frac{625x^8y^3}{81x^2}}$

$\frac{\sqrt{c}-\sqrt{2d}}{\sqrt{c}-\sqrt{d}}$

$\int\left(y^2\sqrt{4y^2+1}\right)dy$

$\tan\left(\frac{x}{2}\right)=\frac{1-\sec\left(x\right)+\tan\left(x\right)}{1+\sec\left(x\right)-\tan\left(x\right)}$

$\frac{dy}{dx}=xy-3x-2y+6$

$\lim_{x\to\infty}\left(\frac{\sqrt{5x^2+2}}{6-3x}\right)$

$3x-8\:;\:x=-5$