
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
Masha left home for school. A few minutes later, Vanya ran out of the same house towards the school. He overtook Masha one-third of the way, and when he reached the school, Masha still had half of the way to go. How many times faster does Vanya run compared to Masha's walking speed?

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