
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
The vulgar fraction \(\frac{1}{221}\) is represented as a repeating decimal. Find the length of the repeating period. (For example, the length of the repeating period for the fraction \(\frac{25687}{99900}=0.25712712712\ldots=0.25(712)\) is 3.)

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