ILL 1985 Problem 88

Determine the range of $w(w + x)(w + y)(w + z)$ , where $x, y, z$ , and $w$ are real numbers such that $x + y + z + w = x^7 + y^7 + z^7 + w^7 = 0.$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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