5. [Chinese Remainder Theorem, 10pt] Use the method of the Chinese Remainder Theorem to solve the following problems. Show your work.

a) [6pt] Find x (between 0 and 3279*1072)

such that

x ≡ 1072 (3279), and x ≡ 77 (2303).

b) [4pt] Find x (between 0 and 5696 * 4803 * 4531)

such that

x ≡ 1072 (3279), x ≡ 77 (2303). and x ≡ 4545 (6731).