$\left(-10\right)^{12}:\:\left(-10\right)^{10}-5.\left(-3+2\right)$

$\frac{36x^0y-6}{72x^{-1}y^{-5}}\left(3\right)$

$\frac{v^{-26}}{v^{-1}\cdot v^{-1}}$

$\tan x\left(\sin x+\cot x\csc x\right)$

$\lim_{x\to2}\:\frac{\left(x^2-1\right)e^{x^2}}{\left(x-2\right)}$

$\left(27\left(\frac{3}{5}\right)^{-1}+\left(\frac{3}{4}\right)^{-2}+\left(\frac{9}{20}\right)^{-1}\right)^{0.5}$

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