
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
Mike places a total of 30 yellow Easter eggs in several purple baskets and a total of 42 blue Easter eggs in some orange baskets. Each basket contains the same number of eggs and there are at least 4 eggs in each basket. Furthermore, each type of basket must contain at least 3 baskets to ensure even distribution. How many eggs did Mike put in each basket?

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