
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 car uses 8.4 liters of gas for every 100 km it is driven. A mechanic can modify the car's engine at a cost of $400 so that it will only use 6.3 liters of gas per 100 km. If gas costs $0.80 per liter, determine the minimum distance, in kilometers, needed to drive to recover the cost of the modifications.

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