
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
Two wheels are engaged with each other and rotate around fixed axes passing through the centers of wheels \(A\) and \(B\). The radii of the wheels differ by a factor of three. The larger wheel makes 10 rotations per minute. Determine how many seconds it takes for the smaller wheel to complete one rotation?

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