$\frac{dy}{dx}=2y\left(2-y\right)$
$15\cdot3+7$
$\int\tan^5x\:\sec\:x^7\:dx$
$e^{\sin\left(\ln\left(\sqrt{\tan\left(x\right)}\right)\right)}$
$3x^2-9x-9$
$y'-y=e^{x+1}-2$
$-7x^2-8$
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