Problem:
If $x = \frac{880}{9491}$, then find $\frac{1}{x+\frac{1}{x+\frac{1}{x+\ddots}}}$.
Answer:
$\frac{\sqrt{90272681}-440}{9491}$
{'source': 'AMPS', 'file': 'amps/mathematica/number_theory/continued_fraction/28207.txt'}