$\int x^2\left(3x^2+14\right)^3dx$
$27x^{7\:}-15x^4$
$\int-2xy^2dy$
$\frac{\frac{2}{3}-\frac{2}{x}}{3-x}$
$x\frac{dy}{dx}+y=-x^2y^2$
$\frac{x^5+3x^4-9x^3+7x-3}{x+1}$
$\int-20x^{-5}dx$
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