
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]


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The force needed to loosen bolts varies inversely with the length of the handle of the wrench used. A wrench with a handle length of 12 inches requires 300 pounds of force to loosen a certain bolt. If the same wrench is used to loosen another bolt that requires 400 pounds of force, what must be the handle length of the wrench to achieve this?

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