Problem:
If $x = \frac{447}{6295}$, then find $\frac{1}{x+\frac{1}{x+\frac{1}{x+\ddots}}}$.
Answer:
$\frac{1613 \sqrt{61}-447}{12590}$
{'source': 'AMPS', 'file': 'amps/mathematica/number_theory/continued_fraction/16896.txt'}