
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
On a farm - where there are more horses than ducks - the number of cows is one-third of the total number of horses and ducks. The sum of the number of heads and legs of the ducks and horses is 100. How many cows are on the farm?

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