Problem 629. Cubic Integer Constrained Solution

Find an integral non-trivial solution (x,y,z ~=0) (x=0 or y=0 or z=0 are trivial) for the cubic equation
987,654,321x + 123,456,789y + z = (x+y+z)^3.
Provide solution with minimum Positive value of (x+y+z). The solution does not require x,y,or z to be positive.
Question courtesy of The Contest Center
One method: meshgrid
Solve

Solution Stats

70.91% Correct | 29.09% Incorrect
Last Solution submitted on Dec 07, 2025

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