
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 function $f(x)=e^{x}+x^{3}- \frac {1}{2}x-1$, there are exactly two points, $P_{1}$ and $P_{2}$, on its graph such that there exist two points, $Q_{1}$ and $Q_{2}$, on the graph of the function $g(x)=x^{3}+ \frac {m}{x}$. Moreover, $P_{1}$ and $Q_{1}$, as well as $P_{2}$ and $Q_{2}$, are symmetric about the origin. Determine the set of possible values for the real number $m$.

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