
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
Three people bought a grinding wheel with a diameter of $20 \text{ cm}$. How much should each companion grind off so that the wheel is divided equally, excluding the $4 \text{ cm}$ diameter used for the hole? The practical value of each portion is not considered, only the equal division of the total mass of the wheel.

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