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Home » Solution: Let us compute $ (x^2 + x + 1)^3 \mod (x^2 - x + 1) $. - Treasure Valley Movers

Solution: Let us compute $ (x^2 + x + 1)^3 \mod (x^2 - x + 1) $. - Treasure Valley Movers

📅 April 16, 2026 👤 scraface

Apr 16, 2026

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📌 + m = 2(-5 + 3m)

📌 + m = -10 + 6m

📌 = 5m \Rightarrow m = 1

📌 The value of $ m $ is $ \boxed{1} $.**Question:** A box contains 8 red marbles, 6 blue marbles, and 4 green marbles. How many ways can 5 marbles be selected if at least one marble of each color must be included?

📌 To ensure that at least one marble of each color is selected, we must consider all valid combinations of red (R), blue (B), and green (G) marbles such that:

📌 $ r \geq 1 $, $ b \geq 1 $, $ g \geq 1 $

📌 $ r + b + g = 5 $

📌 $ r \leq 8 $, $ b \leq 6 $, $ g \leq 4 $

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