Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 4.7 AIME Find the answer

Find the largest integer that divides $m^{5}-5 m^{3}+4 m$ for all $m \geq 5$ .

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

5!=120.

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