
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
Math teacher wrote in a table a polynomial  $P(x)$  with integer coefficients and he said:
"Today my daughter have a birthday.If in polynomial  $P(x)$  we have  $x=a$  where  $a$  is the age of my daughter we have  $P(a)=a$  and  $P(0)=p$  where  $p$  is a prime number such that  $p>a$ ."
How old is the daughter of math teacher?

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