
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 a high-performance racing bicycle, the front wheel has a diameter of 28 inches, and the back wheel has a diameter of 20 inches. If the bicycle does not slip, 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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