
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
A certain grade held mathematics and music lectures successively. There were 43 people who attended the mathematics lecture, 34 people attended the music lecture, and there were 15 people who attended both math and music lectures. The total number of people who attended the lectures is __ people.

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