
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
Consider a wheel with a circumference of 15 feet. If the time for one complete rotation of the wheel is reduced by 1/3 of a second, the speed of the wheel increases by 6 miles per hour. What was the original speed of the wheel in miles per hour?

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