$\int\frac{3}{\left(x-2\right)^3}dx$
$4x^2+12x+3$
$\int\:\frac{1}{12x+x^2}dx$
$x^2+24x+36$
$\frac{d}{dx}\:t^2-10t-1$
$6x-12-\frac{1}{4}x^2-7x+8$
$\frac{4cos^2\left(2x\right)}{1+sin\left(2x\right)}$
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