$\frac{x^{-8}\cdot x^3}{x^7}$
$x+x^212$
$\int\frac{12x^3}{\left(x^2+1\right)^2}dx$
$\left(1-\cos^2x\right)\left(\cot\left(x\right)\right)=\sin\left(x\right)\cos\left(x\right)$
$x^2-5x\le-15$
$\frac{-12x^3y^5}{3xy^3}$
$15mn-5m\cdot7mn+10mn\cdot5mn\:+3mn$
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