
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 square pyramid has a base edge of 40 inches and an altitude of 20 inches. A smaller square pyramid, whose altitude is one-fifth of the original pyramid's altitude, is cut away at the apex of the original pyramid. What fraction of the original pyramid's volume does the remaining frustum represent?

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