
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, the temperature in Phoenix is \( P \) degrees warmer than in Denver. At 5:00 PM, the temperature in Phoenix has fallen by 8 degrees, while the temperature in Denver has risen by 5 degrees. At that time, the temperatures in the two cities differ by 4 degrees. What is the product of all possible values of \( P \)?
A) 120  
B) 130  
C) 144  
D) 153  
E) 160

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