
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 person bought a car for 121,000 yuan. If the annual cost for insurance and gasoline totals 10,000 yuan, and the car maintenance cost is 0 yuan for the first year and increases by 2,000 yuan each subsequent year, determine the number of years of use after which the car should be scrapped to minimize the average annual cost of the car.

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