
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 that Earth exerts on an object is inversely proportional to the square of the distance between the Earth's center and the object. When Alice is on the surface of the Earth, 4,000 miles from the center, the gravitational force is 500 Newtons. How much gravitational force (in Newtons) will Earth exert on her when she is on a space station located 40,000 miles from the Earth's center?

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