
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 CleverCat Academy, cats can learn to perform three tricks: jump, spin, and fetch. Of the cats at the academy: 
\begin{tabular}{l@{\qquad}l}
60 cats can jump & 25 cats can jump and spin \\
35 cats can spin & 20 cats can spin and fetch \\
40 cats can fetch & 22 cats can jump and fetch \\
12 cats can perform all three & 10 cats can perform none
\end{tabular}
How many cats are in the academy?

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