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x^3 + y^3 + z^3 = wx^2y^2z^2 diophantine

Source: Singapore Open Math Olympiad 1996 2nd Round p4 SMO

April 2, 2020
Diophantine equationdiophantinenumber theory

Problem Statement

Determine all the solutions of the equation x3+y3+z3=wx2y2z2x^3 + y^3 + z^3 = wx^2y^2z^2 in natural numbers x,y,z,wx, y, z, w. Justify your answer
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