
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
Given a circle is divided into 15 equally-spaced points, numbered 1 through 15, where Alice and Bob start at point 15, with Alice moving 4 points clockwise and Bob moving 8 points counterclockwise each turn, calculate the number of turns it takes for them to meet on the same point.

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