Problem:
If $x = \frac{4549}{32442}$, then find $\frac{1}{x+\frac{1}{x+\frac{1}{x+\ddots}}}$.
Answer:
$\frac{\sqrt{4230626857}-4549}{64884}$
{'source': 'AMPS', 'file': 'amps/mathematica/number_theory/continued_fraction/32893.txt'}