Problem:
Find the smallest $x$ such that
$x \equiv 20 \pmod{14}$
$x \equiv 20 \pmod{7}$
$x \equiv 13 \pmod{3}$
Answer:
$34$
{'source': 'AMPS', 'file': 'amps/mathematica/number_theory/chinese_remainder_theorem/35129.txt'}