
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
Vintik and Shpuntik built a "Push-Pull" machine that moves forward on syrup consuming 3 liters per kilometer, and backward on orange juice consuming 5 liters per kilometer. They started from home and took turns driving. Vintik drove 12 kilometers in both directions. Shpuntik drove forward half the distance that Vintik drove, and backward twice the distance after which the 75 liters of fuel they had ran out. How many kilometers will Vintik and Shpuntik have to walk back home?

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