
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 center of the Earth and the object. Sam is initially 6,000 miles from the center of Earth, where the gravitational force is 400 Newtons. Calculate the gravitational force on him when he's standing on a moon, which is 180,000 miles from the center of Earth. Express your answer as a fraction.

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