
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
Ben, Emily, and Nick all start running on a track at different times. Ben starts at 8:00 and completes a lap every 5 minutes, Emily starts at 8:02 and finishes a lap every 8 minutes, and Nick starts at 8:04 and finishes a lap every 9 minutes. What is the earliest time when all three meet back at the starting point of the track after their beginning times?

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