$y^2e^t+\left(e^t+4\right)\frac{dy}{dt}=0$
$\frac{\cot^{2}x}{\csc x}=\csc x-\sin x$
$\left(3a^2-8b^3\right)\left(3a^2-8b^3\right)$
$\int4^{4x^2}xdx$
$4x^2+24x-36$
$\frac{dy}{dx}=\:\left(x+y+1\right)^2$
$4x^{2\:}+21x+\:5$
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