
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 PetPals Training Center, cats can learn to do three tricks: jump, fetch, and spin. The current training records show:
\begin{tabular}{l@{\qquad}l}
60 cats can jump & 25 cats can jump and fetch \\
40 cats can fetch & 20 cats can fetch and spin \\
50 cats can spin & 30 cats can jump and spin \\
15 cats can do all three & 5 cats can do none
\end{tabular}
How many cats are in the center?

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