
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 and Bob start at point 15 on a circle divided into 15 equally spaced points. Alice moves 7 points clockwise each turn, while Bob moves 11 points counterclockwise. Determine the number of turns it takes for them to meet at the same point.

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