
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
Given that the area of the shaded middle ring is 6 times the area of the smallest circle, and the area of the unshaded outer ring is 12 times the area of the smallest circle, what fraction of the area of the largest circle is the area of the smallest circle?

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