Problem:
Find the smallest $x$ such that
$x \equiv 0 \pmod{19}$
$x \equiv 17 \pmod{14}$
$x \equiv 3 \pmod{20}$
$x \equiv 19 \pmod{12}$
Answer:
$703$
{'source': 'AMPS', 'file': 'amps/mathematica/number_theory/chinese_remainder_theorem/9141.txt'}