
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
Three merchants - Sosipatra Titovna, Olimpiada Karpovna, and Poliksena Uvarovna - sat down to have tea. Olimpiada Karpovna and Sosipatra Titovna drank 11 cups together, Poliksena Uvarovna and Olimpiada Karpovna drank 15 cups together, and Sosipatra Titovna and Poliksena Uvarovna drank 14 cups together. How many cups of tea did all three merchants drink together?

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