BALTIC-WAY 1997 Problem 6

Find all triples $(a, b, c)$ of non-negative integers satisfying $a \geqslant b \geqslant c$ and $1 \cdot a^{3}+9 \cdot b^{2}+9 \cdot c+7=1997$ .

Dataset text NuminaMath olympiads. Quoted with source.

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(10,10,10)

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