
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
120 people were surveyed and asked whether they think cerulean is "kind of blue" or "somewhat green." Of them, 80 people believe cerulean is "kind of blue," 35 believe it is both "kind of blue" and "somewhat green," and another 20 think cerulean is neither "kind of blue" nor "somewhat green."

How many of those 120 people believe that cerulean is "somewhat green"?

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