
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
If \( m = \frac{cab^2}{a - b} \), find \( b \) in terms of \( a, c, \) and \( m \).
**A)** \( \frac{-m + \sqrt{m^2 + 4maca}}{2ca} \)
**B)** \( \frac{-m - \sqrt{m^2 + 4maca}}{2ca} \)
**C)** \( \frac{-m + \sqrt{m^2 - 4maca}}{2ca} \)
**D)** \( \frac{m + \sqrt{m^2 + 4maca}}{2ca} \)
**E)** \( \frac{m - \sqrt{m^2 + 4maca}}{2ca} \)

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