$\sqrt[5]{27x}\cdot\sqrt{3x^2}$
$\int\frac{-7x+2}{\left(x-6\right)^2\left(x-4\right)}dx$
$\left(6w^9\right)^0$
$3x-x^2\ge\:6$
$x^3\frac{dy}{dx}+2y=x$
$\left(8x-9y\right)\left(8x+9z\right)$
$\lim_{x\to-3}\frac{x+3}{x^2+7x+12}$
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