
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
What is the degree of the resulting polynomial when the expression $(3x^5 + 2x^3 - x - 15)(2x^{12} - 8x^8 + 7x^5 + 25) - (x^3 + 3)^6$ is expanded?

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