
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
At noon on a certain day, Denver is \( N \) degrees warmer than Boulder. By 6:00 PM, the temperature in Denver falls by 8 degrees while the temperature in Boulder rises by 2 degrees. At that time, the temperature difference between the two cities is 3 degrees. Find the product of all possible values of \( N \).

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