$\frac{dy}{dx}=\left(x-2\right)^2\left(x-5\right)\left(x-6\right)\left(x-7\right)$
$27^{2x}=3^{2x+4}$
$\sqrt[3]{64a^{12}}$
$41w+2w+47+24-8$
$7\:-\:4y\:+\:x\:+\:9y$
$\int\frac{x}{\sqrt{-7x-x^2}}dx$
$\int_0^1\left(\frac{1}{2}\right)\cdot e^{-\frac{x}{2}}dx$
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