
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 school organizes a talent show with 120 students participating, each capable of singing, dancing, or acting. No student excels in all three. It's known that 50 students cannot sing, 75 students cannot dance, and 35 students cannot act. Determine how many students have exactly two of these talents.

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