$\frac{6a^2b^3}{-2a^3b}$

$x\left(2x-5\right)^{-\frac{1}{2\:}}+2\:\left(2x-5\right)^{\frac{1}{2}}-\:2\left(2x-5\right)^{\frac{1}{2}}$

$\frac{dy}{dx}=\frac{1+2y^2}{y}$

$\int\:2^{6x}\:dx$

$-6^2-6\left(-6\right)+4$

$\lim_{x\to-\infty}\left(\frac{\sqrt[2]{1+16x^6}}{3-x^3}\right)$

$\lim_{x\to-\infty}\left(\frac{\sqrt{4x^2+1}}{x+1}\right)$