$3y^2\frac{dy}{dx}=2\sin\left(x\right)$
$4-2\left(-4v+1\right)=23+5v$
$\int\left(\frac{\sqrt{x^2-a}}{x}\right)dx$
$x^2+x^3+x^5+x^6$
$\int\frac{x^{3}-2}{x-3}dx$
$\lim_{x\to0}\left(\frac{10cosx-3x}{xcosx}\right)$
$\lim_{x\to2}\frac{x^2+4x-5}{x-1}$
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