$\frac{4\cos\left(2x\right)}{1+\cos\left(2x\right)}$
$\lim_{x\to1}\left(\frac{x^2-2x+1}{x^3-3x^2+2x}\right)$
$\left(2x^3-1\right)^4$
$\frac{x^3-6x-10}{x-3}$
$2b^2c-3b+6c^2b$
$\left(3xy^2\right)\:\left(4xy^3\right)$
$\int\frac{x^3+x^2-4x+5}{x^2+4}dx$
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