
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 pentagonal prism has 7 faces, 10 vertices, and 15 edges. A new pyramid is to be attached to one of its pentagonal faces. Calculate the sum of the number of exterior faces, vertices, and edges of the combined solid when the pyramid is attached to the pentagonal face.

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