9th Balkan Mathematical Olympiad Problems 1992

9th Balkan Mathematical Olympiad Problems 1992A1.  Let a(n) = 34n. For which n is (ma(n)+6 - ma(n)+4 - m5 + m3) always divisible by 1992? A2.  Prove that (2n2 + 3n + 1)n ≥ 6nn! n! for all positive integers.