$\frac{dn}{dt}+n=nte^{t+8}$
$cos\:\left(3x\right)-\:cos\:\left(x\right)=sin\:\left(2x\right)$
$\frac{\sqrt{4x+28-4}}{x+3}$
$\left(3x\:-\:2y\right)\:\left(9x^2\:+\:6xy\:+\:4y^2\:\right)$
$\cot^2x=\csc^2x-\csc^2x\cdot\sin^2x$
$\left(n-1\right)\left(n+5\right)$
$\lim_{x\to0}\left(9\sin x\right)^{8\tan\left(x\right)}$
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