
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
In a cycling race on a circular track, three cyclists named Vasya, Petya, and Kolya started simultaneously. Vasya completed each lap 2 seconds faster than Petya, and Petya completed each lap 3 seconds faster than Kolya. When Vasya finished the race, Petya still had one lap to go, and Kolya had two laps remaining. How many laps was the race?

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