$\frac{dv}{dm}=0.4\left(\left(m-1\right)e^{-0.5m}+1\right)$
$16-x^{6\:}$
$\frac{dy}{dx}=\frac{x+3}{x-3}$
$\left(a^mb^m+4\right)\left(a^mb^m-15\right)$
$\frac{dy}{dx}\ln\left(x+y\right)$
$x^3\cdot dy+y^2dx$
$\int\left(4x^2+5\right)^{\frac{1}{2}}dx$
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