
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
Peter borrows $2000$ dollars from John, who charges an interest of $6\%$ per month (which compounds monthly). What is the least integer number of months after which Peter will owe more than three times as much as he borrowed?

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