
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
Samantha and Lily are both fans of classical music. Their respective collections share fifteen of the same records. Samantha has twenty-four records in her collection. Nine records are in Lily's collection, but not Samantha's. How many records are in either Samantha's or Lily's collection, but not both?

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