$\lim_{x\to\infty}\left(\frac{13\:ln\left(x-13\right)}{x-e}\right)$
$\int_e^{\infty}x^3lnxdx$
$\frac{dy}{dt}=\frac{t^4}{5y^2}$
$\frac{d^5}{dx^5}6\sqrt{x-6}$
$144u^2-204u+42$
$\left(\frac{1}{2}x+y\right)^4$
$\left(-2n^3\:y^2\right)-\left(-8n^3\:y^2\right)$
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