
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 soccer ball is made with 32 pieces of leather. Of these pieces, 12 are identical regular pentagons, and the other 20 are identical regular hexagons. The sides of the pentagons are equal to the sides of the hexagons. To join two sides of these pieces, a seam is required. How many seams are needed to make a ball?
(a) 60
(b) 64
(c) 90
(d) 120
(e) 180

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