Problem:
If $x = \frac{18605}{15104}$, then find $\frac{1}{x+\frac{1}{x+\frac{1}{x+\ddots}}}$.
Answer:
$\frac{\sqrt{1258669289}-18605}{30208}$
{'source': 'AMPS', 'file': 'amps/mathematica/number_theory/continued_fraction/43291.txt'}