
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
In Mr. Calculation's class, a majority of the 36 students purchased notebooks from the school store. Each of these students bought the same number of notebooks, and each notebook cost more in cents than the number of notebooks bought by each student. The total expenditure for all notebooks was 2275 cents. Determine the cost per notebook in cents.

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