$\frac{d}{dx}\left(x^{-6lnx}\right)$
$\sec^2\left(3x\right)\tan\left(3x\right)$
$\int\frac{z+2}{z+1}dz$
$\lim_{x\to0}\left(\frac{\left(x^2-4\right)^2-16}{x^2}\right)$
$\frac{dy}{dx}+y=x\cdot y^3$
$\frac{x^5+x^3-20x}{x+2}$
$15\cos^2x-17\cos x+4=0$
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