
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
Mark borrows $2000$ dollars from Jane, who charges an interest rate of $4\%$ per month (compounds monthly). Determine the least integer number of months after which Mark will owe more than three times as much as he borrowed.

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