ILL 1987 Problem 58

Find, with argument, the integer solutions of the equation $3z^2 = 2x^3 + 385x^2 + 256x - 58195.$

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Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.