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CZ-SK-MO 2008 Problem 3

    Find all pairs of integers (a,b)(a,b) such that a2+ab+1∣b2+ab+a+b−1a^2+ab+1\mid b^2+ab+a+b-1 .

    Dataset text AI-MO AoPS. Quoted with source.

    Official text: Czech-Slovak Mathematical Olympiad 2008 official paper, page 4.

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