Problem:
If $x = \frac{26025}{27472}$, then find $\frac{1}{x+\frac{1}{x+\frac{1}{x+\ddots}}}$.
Answer:
$\frac{\sqrt{3696143761}-26025}{54944}$
{'source': 'AMPS', 'file': 'amps/mathematica/number_theory/continued_fraction/28390.txt'}