
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 front tires of the "Antelope Gnu" car wear out after 25,000 km, and the rear tires wear out after 15,000 km. When should O. Bender switch their positions to maximize the distance the car can travel? What is this maximum distance?

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