
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
Let \(s_1, s_2, s_3\) be the roots of the polynomial equation 
\[x^3 - 4x^2 + 5x - 7 = 0.\]
Find the monic polynomial, in \(x\), whose roots are \(s_1+3, s_2+3, s_3+3\).

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