
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
Jenny wants to distribute 450 cookies among $p$ boxes such that each box contains an equal number of cookies. Each box must contain more than two cookies, and there must be more than one box. For how many values of $p$ can this distribution be made?

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