Let $z$ be a complex number such that
\[z + \frac{1}{z} = 1.\]Find $z^3.$
Question:
Let $z$ be a complex number such that
\[z + \frac{1}{z} = 1.\]Find $z^3.$
Answer:
Let's think step by step.

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-1
Let $z$ be a complex number such that
\[z + \frac{1}{z} = 1.\]Find $z^3.$
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