Suppose a and b are integers, a ≡ 11 (mod 19) and b ≡ 3 (mod 19). Find an integer c with 0≤c≤18 such that
(a)c≡13a(mod 19).
(b)c≡8b(mod 19).
(c)c≡a-b(mod 19).
(d)c≡7a+ 3b(mod 19).
(e)c≡2a^2+ 3b^2(mod 19).
(f)c≡a^3+ 4b^3(mod 19).
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