
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
Given that 1 tabletop and 4 table legs are needed to make a table, 20 tabletops can be made from 1 cubic meter of wood, or 400 table legs, and 12 cubic meters of wood are available, set up an equation to maximize the number of tables that can be made.

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