
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 SuperPup Training Center, dogs can learn to do three tricks: jump, fetch, and bark. Of the dogs at the center:
\begin{tabular}{l@{\qquad}l}
40 dogs can jump & 15 dogs can jump and fetch \\
35 dogs can fetch & 10 dogs can fetch and bark \\
30 dogs can bark & 14 dogs can jump and bark \\
7 dogs can do all three & 5 dogs can do none
\end{tabular}
How many dogs are at the center?

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