
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
Ostap Bender put new tires on the Antelope Gnu car. It is known that the front tires of the car fail after 25,000 km, and the rear tires fail after 15,000 km (the tires in the front and rear are the same, but the rear ones wear out faster). After how many kilometers should Ostap Bender swap these tires so that the Antelope Gnu travels the maximum possible distance? What is this distance?

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