
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
Mr. Guo has a cake to divide among 4 or 5 children. He cuts the cake into several pieces, each of varying sizes. Regardless of whether there are 4 or 5 children, they can each take some pieces so that everyone gets an equal amount. How many pieces does Mr. Guo need to cut the cake into at least?

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