
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
Jim borrows $1500$ dollars from Sarah, who charges an interest rate of $6\%$ per month (which compounds monthly). What is the least integer number of months after which Jim will owe more than twice as much as he borrowed?

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