
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
Find prime numbers  $p , q , r$   such that  $p+q^2+r^3=200$ . Give all the possibilities.

Remember that the number  $1$  is not prime.

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