
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
Andrew and John are both art enthusiasts. Their respective collections share fifteen of the same paintings. Andrew has twenty-five paintings in his collection. Eight paintings are in John's collection, but not Andrew's. How many paintings are in either Andrew's or John's collection, but not both?

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