
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
In a circular track with 15 points, Alice and Bob start at point 1. Alice moves 4 points clockwise each turn, while Bob moves 7 points counterclockwise each turn. Determine how many turns it will take for Alice and Bob to land on the same point for the first time.

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