
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
Let $F = 0.\overline{817}$ be an infinite repeating decimal with the digits $817$ repeating. Write $F$ as a fraction in its lowest terms, and determine by how much the denominator exceeds the numerator.
A) 101
   B) 140
   C) 172
   D) 182
   E) 205

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