
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
Bob, Carol, and Ted start running around a track at 10:00 AM. Bob completes a lap every 8 minutes, Carol finishes a lap every 9 minutes, and Ted finishes a lap every 10 minutes. What is the earliest time when all three meet back at the starting point if Ted runs in the opposite direction?

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