
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 do three tricks: jump, fetch, and spin. The data provided is as follows:
- 40 cats can jump
- 20 cats can jump and fetch
- 25 cats can fetch
- 10 cats can fetch and spin
- 30 cats can spin
- 15 cats can jump and spin
- 7 cats can do all three tricks
- 5 cats can do none of the tricks

How many cats are in the academy?

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