
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
The lockers at Westside Academy are numbered from 1, consecutively. The cost to label lockers numbered $n$ and $n+1$ is $3+6=9$ cents for $n=9$. The total cost to label all lockers is $413.91, which is eight thousand seven hundred ninety-one cents. Determine the total number of lockers at the school.

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