
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
Peter the peacock takes 66 equal strides to walk between consecutive telephone poles, and Miguel the moose covers the same distance in 18 equal jumps. The telephone poles are evenly spaced, and the 31st pole along this trail is exactly 3960 feet from the first pole. Find the difference in length, in feet, between Miguel’s jump and Peter’s stride.

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