Problem:
If $x = \frac{1671}{20458}$, then find $\frac{1}{x+\frac{1}{x+\frac{1}{x+\ddots}}}$.
Answer:
$\frac{\sqrt{1676911297}-1671}{40916}$
{'source': 'AMPS', 'file': 'amps/mathematica/number_theory/continued_fraction/39971.txt'}