
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
Find the values of $p$ for which the cubic equation $3x^3 - (p+1)x^2 + 4x - 12 = 0$ has at least one repeated root.
A) Only 5
B) Only -7
C) 5 and -7
D) No value of $p$

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