
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
Elaine has 720 marbles and she wants to evenly distribute them into $m$ boxes such that each box contains the same number of marbles. Each box must contain more than one marble and there must be more than one box. How many values of $m$ are valid for this distribution?

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