
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 $(x^5 + ax^8 + bx^2 + c)(2x^4 + dx^3 + e)(3x + f)$, where $a, b, c, d, e, f$ are non-zero constants, and additionally, $a + b = c$ and $d + e = f$.

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