$\frac{4x^3-3x^2+x+1}{x^2+1}$
$\frac{d}{dx}\:\:4x^2y^3-2x^3+7y^2$
$w^2-12w+10$
$25xy^2+80xy+22x$
$34\frac{dy}{dx}+y=15$
$csc^2+tg^2-sec^2$
$\frac{-v}{4v-18}=\frac{2}{v-8}$
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