
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 circular token has an area of 616 square inches. Paul wants to encircle this token with a colorful string, and to ensure it fits perfectly with a little extra, he plans to buy 5 inches more of the string than the circumference of the token. How many inches of string will Paul need to buy, using $\pi = \frac{22}{7}$ as an estimation for pi?

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