
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
Emily and Olivia are both avid book readers. Their respective collections share fifteen of the same books. Emily has twenty-three books in her collection. Eight books are in Olivia's collection, but not Emily's. How many books are in either Emily's or Olivia's collection, but not both?

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