
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
To pull a block up an inclined plane, a force three times greater than that needed to drag the block downwards is required, and the sum of these forces is equal to the weight of the block. Determine the coefficient of friction between the block and the plane.

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