
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
Given $m > n > p$, three positive integers that are prime, such that $m + n + p = 74$ and $m - n - p = 44$, find the values of $m$, $n$, and $p$.

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