
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 class with 35 students, a survey was conducted on their preferences regarding mathematics and literature, and it was found that:

- 7 men like mathematics;
- 6 men like literature;
- 5 men and 8 women said they do not like either;
- there are 16 men in the class;
- 5 students like both;
- 11 students like only mathematics.

a) How many men like both mathematics and literature?

b) How many women like only literature?

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