Problem:
If $x = \frac{48245}{39661}$, then find $\frac{1}{x+\frac{1}{x+\frac{1}{x+\ddots}}}$.
Answer:
$\frac{\sqrt{8619559709}-48245}{79322}$
{'source': 'AMPS', 'file': 'amps/mathematica/number_theory/continued_fraction/49676.txt'}