
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
Two swimmers start from opposite ends of a 100-foot pool and swim toward each other at rates of 4 feet per second and 3 feet per second, respectively. Calculate the number of times they pass each other after swimming back and forth for 15 minutes.

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