
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 play a game on a circle whose circumference is divided by 15 equally-spaced points, numbered clockwise from 1 to 15. Both start from point 15. Alice moves 7 points clockwise per turn, while Bob moves 11 points counterclockwise per turn. Determine how many turns it will take for Alice and Bob to meet at the same point for the first time.

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