
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
Suppose the roots of the cubic equation $x^3 + 5x^2 + 6x - 13 = 0$ are $a$, $b$, and $c$, and the roots of another cubic equation $x^3 + rx^2 + sx + t = 0$ are $a+1$, $b+1$, and $c+1$. Find the value of $t$.

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