
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 $10{:}00$ A.M., the temperature in Chicago is $P$ degrees warmer than in Denver. By $2{:}00$ P.M., the temperature in Chicago decreases by $4$ degrees, whereas the temperature in Denver increases by $2$ degrees. By this time, the temperatures in the two cities differ by $6$ degrees. What is the product of all possible values of $P$?
A) 0
B) 10
C) 12
D) 24
E) 36

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