
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 was prepared with only pepperoni, mushroom, and olive toppings. Each slice has at least one topping. Exactly eight slices include pepperoni, and twelve slices include mushrooms. How many slices include both pepperoni and mushrooms?

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