Problem:
If $x = \frac{139}{3135}$, then find $\frac{1}{x+\frac{1}{x+\frac{1}{x+\ddots}}}$.
Answer:
$\frac{\sqrt{39332221}-139}{6270}$
{'source': 'AMPS', 'file': 'amps/mathematica/number_theory/continued_fraction/19240.txt'}