
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
A bicycle tire, if installed on the front wheel, will be scrapped after traveling 5000 km; if installed on the rear wheel, it will be scrapped after traveling 3000 km. The front and rear tires can be swapped after traveling a certain distance. To have a pair of new tires scrapped at the same time after swapping, the bicycle can travel a total of ____ km.

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