
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
a) \( p, p+10, p+14 \) are prime numbers. Find \( p \).

b) \( p, 2p+1, 4p+1 \) are prime numbers. Find \( p \).

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