
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
Jessica distributes 450 pens among $m$ classrooms such that each classroom gets an equal number of pens. Every classroom contains more than one pen, and there is more than one classroom. Determine for how many values of $m$ this task is possible.

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