
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 different bakery has created a rectangular birthday cake in the dimensions of \(5 \times 3 \times 4\) inches, with icing on the top and three of the side faces, leaving one of the smaller sides and the bottom without icing. If the cake is sliced into \(1 \times 1 \times 1\) inch small pieces, how many of these pieces will have icing on precisely two sides?
A) 15
B) 20
C) 25
D) 30
E) 35

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