
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
A rectangular prism has dimensions 12-inches by 30-inches by 15-inches. Determine the length, in inches, of the diagonal connecting the vertex at one corner to the opposite vertex at the far end. Express your answer in simplest radical form.

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