
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
Let $p,$ $q,$ $r$ be complex numbers such that
\[p + q + r = pqr = 2,\] and \[pq + pr + qr = 0.\]
Enter the values $p,$ $q,$ $r,$ separated by commas, in any order.

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