
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
Arkadiy, Boris, and Vasiliy decided to run the same distance consisting of several laps. Arkadiy completed each lap 2 minutes faster than Boris, while Boris completed each lap 3 minutes faster than Vasiliy, all running at a constant speed. When Arkadiy finished the distance, Boris had one lap left to run, and Vasiliy had two laps left. How many laps did the distance consist of? Provide all possible answers and explain why there are no other solutions.

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