$\lim_{x\to\infty}\left(x^2-1\right)\cdot e^{-x^2}$
$\int sin\:^3\left(2x\right)cos^3\left(2x\right)dx$
$\int\frac{1}{\left(2x-1\right)^3}dx$
$\frac{dy}{dx}\left(3x+4y=-3y+3\right)$
$5m^2-22m+8$
$\left(4x^3+8x-2\right)\left(x^2+2\right)$
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