$\cot\:^2\left(x\right)+\cot\:\left(x\right)=12$
$\lim_{x\to\infty}\left(\frac{1}{x^4-2x^2-x+1}\right)$
$-4\left(y+2\right)+y$
$\sqrt[3]{\frac{x^9}{27}}$
$\left(m^3+n^2\right)\left(m^3-n^2\right)$
$\frac{12x^2-24x+4}{4x^2-17x-15}$
$\int\sqrt{x+3}dx$
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