
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
On an old-fashioned bicycle, the front wheel has a radius of $3$ feet and the back wheel has a radius of $6$ inches. If there is no slippage, how many revolutions will the back wheel make while the front wheel makes $50$ revolutions?

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