
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Let  $ f(x) \equal{} x^3 \plus{} x \plus{} 1$ . Suppose  $ g$  is a cubic polynomial such that  $ g(0) \equal{} \minus{} 1$ , and the roots of  $ g$  are the squares of the roots of  $ f$ . Find  $ g(9)$ .

Present the answer in LaTex format: \boxed{Your answer}
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