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MathNet 2002 — Part 02 Question 27

Math Olympiad Vault · MathNet 2002 — Part 02

Question 27

Express, as concisely as possible, the value of the product
$$
\left(0^{3}-350\right)\left(1^{3}-349\right)\left(2^{3}-348\right)\left(3^{3}-347\right) \cdots\left(349^{3}-1\right)\left(350^{3}-0\right)
$$