$27x^6\:81x$
$xy'-5y=x^6sec^2x$
$\int\frac{\left(x-2\right)}{\left(3x-2\right)^2}dx$
$\frac{dy}{dx}=\frac{6-x^2}{2y^3}$
$\lim_{x\to3}\left(x^2\left(3x-4\right)\left(9-x^3\right)\right)$
$v^{2}-6v+9$
$y'\:+2xy\:=\:xy^2$
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