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MathNet 2007-part-03 — 185 problems (EN–VI) Question 86

Math Olympiad Vault · MathNet 2007-part-03 — 185 problems (EN–VI)

Question 86

Find the number of 7-tuples $\left(n_{1}, \ldots, n_{7}\right)$ of integers such that
$$
\sum_{i=1}^{7} n_{i}^{6}=96957
$$