
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
I am planning a dinner at a local pizzeria with friends. I am a vegan and also need to avoid gluten and dairy. This pizzeria has 30 dishes in total. One-sixth of these dishes are vegan. Out of these vegan dishes, half contain gluten. Additionally, two of the vegan dishes contain dairy. How many dishes at the pizzeria can I eat?

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