$x^2\:\frac{dw}{dx}=\sqrt{w}\left(7x+1\right)$
$\left(v^{\frac{1}{3}}\right)^2$
$-y^2+6y$
$\int\frac{6x}{x^3-8}\:dx$
$\frac{a^2+2ab-6b^2}{9a^2-9b^2}$
$4x^2-10x^2$
$\:\frac{x^3}{\left(x+3\right)^3}$
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