
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
Divide the polynomial $[(17x^{2}-3x+4)-(ax^{2}+bx+c)]$ by $\left(5x+6\right)$, the quotient is $\left(2x+1\right)$, and the remainder is $0$.

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