
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 with a base edge of 24 inches and an altitude of 15 inches has a smaller pyramid cut away from its apex. This smaller pyramid has an altitude that is one-third of the altitude of the original pyramid. What fractional part of the original pyramid's volume does the remaining frustum represent?

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