
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
Guess the Number  
(1) It is a factor of 42, a multiple of 7, and also a multiple of both 2 and 3. This number is ____.  
(2) My greatest factor and smallest multiple are both 18. I am ____.  
(3) My smallest multiple is 1. I am ____.  
(4) The sum of two prime numbers is 10, and their product is 21. They are ____ and ____.  
(5) The sum of two prime numbers is 20, and their product is 91. They are ____ and ____.

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