
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
Suppose James has 360 marbles, and he wants to distribute all of them into $m$ boxes such that each box has an equal number of marbles. Each box should contain more than one marble, and there has to be more than one box. Determine for how many values of $m$ James can distribute the marbles.

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