
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
Let  $m > n$  be positive integers such that  $3(3mn - 2)^2 - 2(3m -3n)^2 = 2019$ . Find  $3m + n$ .


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