
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 certain school's art class, there are 100 students. Among them, 67 students learn dancing, 45 students learn singing, and 21 students learn musical instruments. The students learning musical instruments neither learn dancing nor singing. How many students are learning both dancing and singing?

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