
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
Determine the degree of the polynomial $(x^5 + bx^8 + cx^2 + d)(x^4 + ex^3 + f)(x^2 + gx + h)(x + i)$, where $b$ through $i$ are nonzero constants.

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