
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 horse 30 feet from the center of a merry-go-round makes 40 revolutions. A second horse 15 feet from the center will travel the same distance by making how many revolutions? Additionally, if a third horse is 10 feet from the center, how many revolutions would it need to make to travel the same distance?

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