
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 16-slice pizza is made with only pepperoni, mushrooms, and olives as toppings, and every slice has at least one topping. Exactly eight slices have pepperoni, twelve slices have mushrooms, and fourteen slices have olives. How many slices have all three toppings?

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