
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
Adamek was recounting his collection of rainbow marbles. He found that he could divide them into evenly numbered piles in several ways. If he divided them into three piles, there would be eight more marbles in each pile than if he divided them into four piles.

How many rainbow marbles did Adamek have?

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