
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 with dimensions 10 feet, 5 feet, and 3 feet had a cube with dimensions 2 feet by 2 feet by 2 feet removed. The cube was at a corner such that three of its faces contributed to the external surface of the prism. Calculate the increase or decrease in the surface area of the prism after the removal of the cube.

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