
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
Let C represent the number of cows, D represent the number of ducks, and H represent the number of chickens.  If the number of legs was 20 more than twice the number of heads, then $2C+2D+2H=2(H+C+D)+20$. Also, if the ducks and chickens together were twice the number of cows, then $D+H=2C$.

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