Solve each of the following sets of simultaneous congruences:
(a) x ≡ 1 (mod 3), x ≡ 2 (mod 5), x ≡ 3 (mod 7).
(b) x ≡ 5 (mod 11), x ≡ 14 (mod 29), x ≡ 15 (mod 31).
(c) x = 5 (mod 6), x ≡ 4 (mod 11), x ≡ 3 (mod 17).
(d) 2x ≡ 1 (mod 5), 3x ≡ 9 (mod 6), 4x = 1 (mod 7), 5x ≡ 9 (mod 11).
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