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Divides

Source: Indian RMO 2002 Problem 3

October 27, 2005
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Problem Statement

Let a,b,ca,b,c be positive integers such that aa divides b2b^2, bb divides c2c^2 and cc divides a2a^2. Prove that abcabc divides (a+b+c)7(a + b +c)^7.
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