Problem:
Find the smallest $x$ such that
$x \equiv 16 \pmod{14}$
$x \equiv 14 \pmod{20}$
$x \equiv 9 \pmod{9}$
$x \equiv 6 \pmod{19}$
Answer:
$17334$
{'source': 'AMPS', 'file': 'amps/mathematica/number_theory/chinese_remainder_theorem/30780.txt'}