
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 Alice and Bob are on a circular track marked with 15 equally spaced points, with Alice initially at point 15, determine the number of turns it will take for Alice and Bob to meet at the same point for the first time given Alice moves 4 points clockwise each turn, takes a rest every 5th turn and does not move that turn, and Bob moves 7 points counterclockwise each turn.

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