Problem:
If $x = \frac{36139}{28025}$, then find $\frac{1}{x+\frac{1}{x+\frac{1}{x+\ddots}}}$.
Answer:
$\frac{\sqrt{4447629821}-36139}{56050}$
{'source': 'AMPS', 'file': 'amps/mathematica/number_theory/continued_fraction/38152.txt'}