
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. When John is on the surface of the Earth, his distance from the center is 5,000 miles, and the gravitational force he experiences is 700 Newtons. Calculate the gravitational force (in Newtons) on John when he is on an asteroid 300,000 miles from the center of the Earth. Express your answer as a fraction.

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