
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
A mother is walking with a stroller around a lake and completes one lap in 12 minutes. Vanya rides a scooter on the same path in the same direction and overtakes the mother every 12 minutes. After what intervals of time will Vanya meet the mother if he rides at the same speed but in the opposite direction?

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