
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 kitten and two dogs together weigh 36 pounds. The kitten and the heavier dog together weigh exactly three times as much as the lighter dog, and the kitten and the lighter dog together weigh exactly half as much as the heavier dog. How many pounds does the kitten weigh?

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