
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
Factor completely over the set of polynomials with integer coefficients:
\[3(x + 3)(x + 4)(x + 7)(x + 8) - 2x^2.\]

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