
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
Let Martha the moose take 50 equal steps between consecutive lamp posts on a city street. Let Percy the pronghorn cover the same distance in 15 equal bounds. The lamp posts are evenly spaced, and the 51st post is exactly 2 miles or 10560 feet from the first post. Calculate the difference in length between Percy's bound and Martha's step.

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