
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
Given that Teresa's age is a prime number, and at least half of the students guessed too low, three students guessed exactly 43, and the incorrect guesses are off by at least two from Teresa's age, find Teresa's age.

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