AoPS Wiki:Problem of the Day/July 26, 2011

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Revision as of 22:39, 25 July 2011 by Kingofmath101 (talk | contribs) (July 26, 2011- Problem of the Day)
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(This problem is similar to a problem from the AHSME.)

Find the number of integer ordered pairs $(x, y)$ such that the following equation is true (no calculators!):

$x^3 + 77^3 = -369xy - y^3$