
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 Pup Training Center, dogs can learn to do three tricks: jump, fetch, and shake. Of the dogs at the center: \begin{tabular}{l@{\qquad}l}
70 dogs can jump & 30 dogs can jump and fetch \\
40 dogs can fetch & 20 dogs can fetch and shake \\
50 dogs can shake & 25 dogs can jump and shake \\
15 dogs can do all three & 15 dogs can do none
\end{tabular} How many dogs are in the center?

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