
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
(1) Calculate: $\dfrac{(1-i)+(2+\sqrt{5}i)}{i}$ (where $i$ is the imaginary unit);
(2) If the complex number $Z=(2m^2+m-1)+(4m^2-8m+3)i$, ($m\in\mathbb{R}$) has a conjugate $\overline{Z}$ that corresponds to a point in the first quadrant, find the set of possible values for the real number $m$.

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