
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 quadratic equation \(3x^2 + 7x + 6 = 0\) whose roots are \(a\) and \(b\), find the value of \(p\) for the quadratic equation \(x^2 + px + q = 0\) to have roots \(a^3\) and \(b^3\).
A) \( \frac{35}{27} \)
B) \( -\frac{35}{27} \)
C) \( \frac{25}{27} \)
D) \( -\frac{25}{27} \)

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