
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
Three cyclists start from the same point on a 600-meter circular track and travel clockwise with constant speeds of 3.6, 3.9, and 4.2 meters per second. Determine the time in seconds until they meet again at the same starting point.

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