
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
Given that \( A \) and \( B \) are polynomials of degree 672, and \( C \) is a polynomial of degree 671, the degrees of \( A+B \) and \( A-C \) are \( m \) and \( n \) respectively. Calculate:
\[ 
|m - n| + |2m - n - 672| + |-3m - 2| 
\]

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