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MathNet 2024-part-02 — 168 problems (EN–VI) Question 37

Math Olympiad Vault · MathNet 2024-part-02 — 168 problems (EN–VI)

Question 37

Find the greatest possible value of the expression
$$
(((a * b) * c) * d) * e,
$$
if each star is replaced with one of the operations $+$, $-$, $\cdot$ and the numbers $a, b, c, d, e$ are $-2, -1, 0, 1, 2$ in some order. Different stars can correspond to different operations.