The polynomial $x^6 + ax + b$ is divisible by $x^2 - 2x - 1.$  Find $a + b.$
Question:
The polynomial $x^6 + ax + b$ is divisible by $x^2 - 2x - 1.$  Find $a + b.$
Answer:
Let's think step by step.

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The polynomial $x^6 + ax + b$ is divisible by $x^2 - 2x - 1.$  Find $a + b.$
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