
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 sum of \( n \) terms of an arithmetic progression is \( 225 \), and the common difference is \( 2 \). If the first term is an integer, and \( n > 1 \), then the number of possible values for \( n \) is?
**A)** 6  
**B)** 7  
**C)** 8  
**D)** 9  
**E)** 10

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