
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
Anton, Artem, and Vera solved 100 math problems together. Each of them solved 60 problems. We call a problem difficult if only one person solved it, and easy if all three solved it. How much does the number of difficult problems differ from the number of easy problems?

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