
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
Mad Hatter's clock runs 15 minutes fast per hour, and March Hare's clock runs 10 minutes slow per hour. One day, they set their clocks by Dormouse's clock (which has stopped and always shows 12:00) and agreed to meet at 5 PM for their traditional five o'clock tea. How long will Mad Hatter have to wait for March Hare if each arrives exactly at 5 PM by their own clocks?

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