
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
Two concentric circles have the same center O. Point X is positioned such that it is one-third the distance from O to P on the radius OP of the larger circle. Determine the ratio of the area of the circle with radius OX to the area of the circle with radius OP.

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