
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
In the Qing Dynasty of China, there is a math problem in the book "Imperial Collection of Mathematical Essentials": "There are four horses and six heads of cattle, totaling forty-eight taels (an ancient Chinese currency unit); there are three horses and five heads of cattle, totaling thirty-eight taels. What is the price of each horse and each head of cattle (the unit price of horses and cattle in taels)?"

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