
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
Mark had 105 books and Alice had 15 books. Mark gave some of his books to Alice such that after the transaction, Mark had three times as many books as Alice. Determine the number of books Mark gave to Alice.

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