$\lim_{x\to\infty}\frac{1}{\sqrt{x-1}}$
$\frac{dy}{dx}=ye^x,\:y\left(0\right)=2e$
$\frac{3x^3-3x^2}{-3x}$
$5e-2x-4ex\:+\:6e-2x-8ex\:+\:4$
$\frac{x^2-10}{x-1}=\frac{-14-15x}{x-1}$
$4x^2-28x+33$
$15p^2qr^2+3pqr^5-18pqrs^2$
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