
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
Sketch the domain of the pair of real numbers  $(p,\ q)$  in the  $pq$  plane such that the equation in  $x:px^2+(p^2-q)x-(2p-q-1)=0$  has solution and the real part of all solutions are negative.

*1992 Tokyo University entrance exam/Humanities*

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