
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 Premier Pups Training Academy, dogs can learn three tricks: fetching, jumping, and barking. The following data is known:
\begin{tabular}{l@{\qquad}l}
70 dogs can fetch & 25 dogs can fetch and jump \\
40 dogs can jump & 15 dogs can jump and bark \\
45 dogs can bark & 20 dogs can fetch and bark \\
12 dogs can do all three & 15 dogs can do none
\end{tabular}
How many dogs are in the academy?

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