
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 day can be evenly divided into 86,400 seconds; hence it can also be divided into various periods based on different lengths of time. How many ways are there to divide a day into $n$ periods of $m$ minutes, where $n$ and $m$ are positive integers and the product of $n$ and $m$ equals 1440 minutes?

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