
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
David, Maria, and Leo start jogging around a park at 9:00 AM. David completes a lap every 5 minutes, Maria completes a lap every 8 minutes, and Leo completes a lap every 10 minutes. Determine the earliest time when all three will be back at the starting point together.

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