
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]


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On a redesigned bicycle, the front wheel has a diameter of 6 feet and the back wheel has a diameter of 2 feet. If there is no slippage, how many revolutions will the back wheel make while the front wheel makes 50 revolutions? Also, determine how many revolutions the front wheel needs to make for both wheels to align again at their starting point.

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