
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
Five cards showing different positive integers were on the table. Marek calculated that the largest number on the cards is 8 more than the smallest number. Adam took the two cards with the smallest numbers and found that the product of these two numbers is 12. Dominik then calculated that the sum of the numbers on the remaining three cards is 25.

What numbers could be written on the cards? Find three solutions.

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