
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
Andrew wrote numbers on three cards, each card having one number on either side. He laid the cards on a table showing one side of each. The numbers showing are 68, 39, and 57. The sums of the two numbers on each of the three cards are equal. The hidden numbers on each of the cards are prime numbers. What is the average of the prime numbers on the hidden sides?

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