
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
Alice loans $15$ dollars to Bob with a simple interest rate of $20\%$ per day. What is the smallest integer number of days after which Bob will need to pay back at least three times the amount he borrowed?

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