
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
In a group of 150 people, 120 indicated they liked Beethoven, and 95 indicated they liked Chopin. What is the minimum number of people who could have said they liked both Beethoven and Chopin?

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