
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
Given the functions $f(x)=2x^2+(2-m)x-m$ and $g(x)=x^2-x+2m$.

(1) If $m=1$, find the solution set for the inequality $f(x) > 0$.

(2) If $m > 0$, find the solution set for the inequality $f(x) \leq g(x)$ with respect to $x$.

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