Question 117
Find all integers $n$ satisfying all three conditions
$$
n \equiv 2 \pmod{3}, \quad n \equiv -1 \pmod{5} \quad \text{and} \quad n \equiv 3 \pmod{7}.
$$
$$
n \equiv 2 \pmod{3}, \quad n \equiv -1 \pmod{5} \quad \text{and} \quad n \equiv 3 \pmod{7}.
$$