
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
Every third student in the sixth grade is a member of the math club, every fourth student is a member of the history club, and every sixth student is a member of the chemistry club. The rest of the students are members of the literature club. How many people are in the chemistry club if the number of members in the math club exceeds the number of members in the literature club by three?

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