
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 maintenance team departs from location $A$ to inspect the route on a road running east-west. If it is defined that traveling east is positive and traveling west is negative, the team's travel records for the day are as follows (unit: $km$):
$(1)$ At which time is the team farthest from location $A$? At this time, the distance from location $A$ is ______ $km$.
$(2)$ If the team consumes $0.25$ liters of fuel per kilometer, and the cost of gasoline is $6$ yuan per liter, how much does it cost for the maintenance team to return to location $A$ in one day?

| First Time | Second Time | Third Time | Fourth Time | Fifth Time | Sixth Time | Seventh Time |
|------------|-------------|------------|-------------|------------|------------|--------------|
| $-3$       | $+8$        | $-9$       | $+10$       | $+4$       | $-6$       | $-2$         |

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