
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
Definition: If the sum of two expressions is equal to a constant, then these two expressions are called a composite expression about the constant.<br/>$(1) 1-x$ and ______ are composite expressions about $0$;<br/>$(2)$ Given $a=2x^{2}-3(x^{2}+x)+5$, $b=2x-[3x-(4x+x^{2})+2]$, are $a$ and $b$ composite expressions about $3$? Explain the reason;<br/>$(3)$ Given $c=|x+3|$, $d=|x-2|$, and $c$ and $d$ are composite expressions about a constant $m$, please explore the range of values for $m$ and the number of corresponding values for $x$.

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