Find the number of ordered triples $(x,y,z)$ of real numbers such that
\[x^4 + y^4 + z^4 - 4xyz = -1.\]
Question:
Find the number of ordered triples $(x,y,z)$ of real numbers such that
\[x^4 + y^4 + z^4 - 4xyz = -1.\]
Answer:
Let's think step by step.

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4
Find the number of ordered triples $(x,y,z)$ of real numbers such that
\[x^4 + y^4 + z^4 - 4xyz = -1.\]
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