
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
A square table consists of a tabletop and four legs. If 1 cubic meter of wood can be used to make 50 tabletops or 300 legs, and there are 5 cubic meters of wood available, please design how many cubic meters of wood should be used to make tabletops so that the number of tabletops matches the number of legs exactly, with neither leftover.

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