$4x-4y\sqrt{x^2+1}\frac{dy}{dx}=0$
$3\log\:_m\left(x^2\right)+\frac{\log\:_m\left(x^8\right)}{2}-5\log\:_m\left(x\right)$
$\frac{2x^4-3x^2-5x-6}{x-2}$
$\frac{a^5b}{a^{-2}b}$
$3\left(x-1\right)+2x=5x+4$
$45r^3-10r^3$
$\frac{dy}{dx}=\left(1+y\cdot x^{-1}\right)$
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