
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
A pedestrian and a cyclist started simultaneously in the same direction from a point on a circular track. The speed of the cyclist is 55% greater than the speed of the pedestrian, which results in the cyclist overtaking the pedestrian from time to time. How many different points on the track will these overtakes occur?

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