Problem:
If $x = \frac{29101}{28187}$, then find $\frac{1}{x+\frac{1}{x+\frac{1}{x+\ddots}}}$.
Answer:
$\frac{\sqrt{4024896077}-29101}{56374}$
{'source': 'AMPS', 'file': 'amps/mathematica/number_theory/continued_fraction/29173.txt'}