
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
The Mad Hatter's clock gains 15 minutes per hour, and the March Hare's clock loses 10 minutes per hour. Once, they set their clocks by the Dormouse's clock (which stopped and always shows 12:00) and agreed to meet at 5 o'clock in the evening for a traditional five-o'clock tea. How long will the Mad Hatter wait for the March Hare if each arrives exactly at 17:00 by their own clocks?

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