
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
Xiaoqiang, when calculating a polynomial subtracted by a polynomial $5a^{2}+4a-2$, mistakenly added them together instead of subtracting. As a result, he got $2-3a^{2}+6a$.  
$(1)$ Find the original polynomial.  
$(2)$ Find the correct result.

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