
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
$P, Q, R,$ and $S$ are distinct positive integers such that the product $PQ = 72$, the product $RS = 72$, and $P + Q = R - S$. What is $P$?

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