
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
In an apartment building, each entrance has the same number of floors, and each floor has the same number of apartments. The number of floors in the building is greater than the number of apartments on each floor, the number of apartments on each floor is greater than the number of entrances, and the number of entrances is more than one. How many floors are in the building, if there are a total of 105 apartments?

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