
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
The Mad Hatter went to a shop to buy pretzels for tea. When he asked about the price, he learned that:
- The price depends on the size: small pretzels (pretzellets) and large pretzels are available.
- One large pretzel costs the same as three small pretzellets.
- Seven large pretzels and four pretzellets cost twelve cents more than four large pretzels and seven pretzellets.

How much does one large pretzel cost?

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