
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
The gravitational force between a planet and an object is inversely proportional to the square of the distance from the planet's center to the object. If the gravitational force exerted by the planet on an object 5,000 miles from its center is 500 Newtons, determine the gravitational force exerted by the same planet on the object when it is 25,000 miles away from the center of the planet. Express your answer as a fraction.

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