$2xy\frac{dy}{dx}=y^2+6$
$\int\frac{x^7}{\left(7-3x^4\right)^4}dx$
$6r\left(r-1\right)\left(r-2\right)$
$\frac{32^{5}-15z^{3}+62}{9z}$
$\int\frac{x^2}{\sqrt{x^2-11}}dx$
$f\left(x\right)=\log\left(x^2\right)$
$\frac{dy}{dx}=5x-8y$
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