$x\left(4x+3\right)\le\:\left(2x+1\right)$
$\int_0^{\frac{\pi}{3}}xsin\left(6x\right)dx$
$\lim_{x\to2}\left(-x^5-6x^2+4x^8\right)$
$y'\cdot e^x=y^2$
$x\left(y-3\right)y'=5y$
$\cot x\sin x-\cos x$
$\frac{d}{dx}\:y=\:\left(3x\:+\:5\right)^7$
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