
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
Carla placed 4 different numbers, one on each side of 2 cards, and placed them on her desk. The sums of the two numbers on each of the two cards are equal. The numbers on the hidden sides of the cards are prime numbers. On the visible sides of the cards, the numbers are 37 and 53. What is the average of the hidden prime numbers?

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