Let $r$ be a complex number such that $r^5 = 1$ and $r \neq 1.$  Compute
\[(r - 1)(r^2 - 1)(r^3 - 1)(r^4 - 1).\]
Question:
Let $r$ be a complex number such that $r^5 = 1$ and $r \neq 1.$  Compute
\[(r - 1)(r^2 - 1)(r^3 - 1)(r^4 - 1).\]
Answer:
Let's think step by step.

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5
Let $r$ be a complex number such that $r^5 = 1$ and $r \neq 1.$  Compute
\[(r - 1)(r^2 - 1)(r^3 - 1)(r^4 - 1).\]
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