
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
A classroom contains 60 chairs arranged in a rectangular array. Each row must contain at least two chairs, as should each column, which necessitates that all chairs be used in forming the array. Determine how many different rectangular arrays can be formed under these conditions.

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