
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
At the Pawsitive Training Center, dogs are taught four tricks: sit, stay, fetch, and roll over. Of the dogs at the center:
- 60 dogs can sit
- 35 dogs can stay
- 45 dogs can fetch
- 40 dogs can roll over
- 20 dogs can sit and stay
- 15 dogs can sit and fetch
- 10 dogs can sit and roll over
- 5 dogs can stay and fetch
- 8 dogs can stay and roll over
- 6 dogs can fetch and roll over
- 4 dogs can sit, stay, and fetch
- 3 dogs can sit, stay, and roll over
- 2 dogs can sit, fetch, and roll over
- 1 dog can stay, fetch, and roll over
- 2 dogs can do all four
- 12 dogs can do none

How many dogs are there in total at the Pawsitive Training Center?

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