
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 involving a circle whose circumference is divided by 15 equally-spaced points. If Alice moves 4 points clockwise each turn and Bob moves 11 points counterclockwise each turn, starting from point 15, determine the total number of turns it will take for them to stop on the same point.

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