
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
Four positive integers \(P\), \(Q\), \(R\), and \(S\) have a sum of 100. If \(P+4 = Q-4 = R \times 4 = S \div 4\), what is the value of the product \(P \times Q \times R \times S\)?

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