
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
For what values of the real number $m$ does the point in the complex plane representing the complex number $z=(m^2-8m+15)+(m^2+3m-28)i$
(1) lie in the fourth quadrant?
(2) lie to the bottom-right of the line $y=2x-40$ (excluding the boundary)?

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