
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
Carla, Jose, and Mary all start jogging around a stadium at 7:30 AM. Carla completes a lap every 5 minutes, Jose finishes a lap every 8 minutes, and Mary finishes a lap every 10 minutes. When is the earliest time after they start when all three will be back at the beginning together?

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