$\int\left(\frac{1}{2}x+1\right)\frac{1}{2}x\:dx$
$\frac{3x^2+2x-4}{x^3-8}$
$\frac{dy}{dx}=x\cdot\sec\left(y\right)$
$27m^6-64n^9$
$\int\:\frac{3w^2}{3-w^3}dw$
$\left(c^{-6}d^4\right)^{\frac{1}{2}}$
$2x^2-8x^4+14x^6$
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