
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 cube has side lengths of 6 feet. If two identical cylindrical sections each with a radius of 1 foot are removed from the solid cube, and the height of each cylinder is the same as the cube's side length, what is the total remaining volume of the cube? Express your answer in cubic feet in terms of $\pi$.

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