
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
If a rectangular prism has a length of 5 units, a width of \( w \) units, and a height of 8 units, and the length of its diagonal is 10 units, what is the width \( w \)?

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