
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
There are 250 students enrolled at Liberty High School. Eighty of the students are in band, 110 are in the chorus, and 60 are in the orchestra. If only 190 students are in band, chorus, and/or orchestra, how many students are in both band and chorus, but not in the orchestra?

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