$\lim_{x\to\infty}\left(ln\left(x\right)+x\right)^{e^{-x}}$
$10x^2\:\left(\:8x^3\:-\:7x\:-\:6x^5\right)$
$\frac{x^4+4x^3-4x^2-5}{x-2}$
$512x^{27}-8y^{18}$
$\frac{8a^3-1}{2a^2-1}$
$\sin x\cdot\cos x+\sin2x=3\cdot\sin x\cdot\cos x$
$3\left(4x-1\right)\left(3x+2\right)$
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