$5x^3\cdot\:2x^4$
$\frac{3}{4}x\cdot6x^2\cdot\left(-2x^3\right)$
$-x^2-7x-30$
$\lim_{x\to0}\cos\left(3x\right)^{\frac{1}{x}}$
$\frac{dy}{dx}+xy=e^{-x^2}\cdot y^{-3}$
$\lim_{x\to\infty}\left(\frac{x^2+1}{e^{x+5}}\right)$
$\cos^2x=\sqrt{3}\cot x$
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