
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 \( r_1, \) \( r_2, \) and \( r_3 \) be the roots of
\[ x^3 - x^2 + 3x - 7 = 0. \]
Find the monic polynomial, in \( x, \) whose roots are \( 3r_1, \) \( 3r_2, \) and \( 3r_3. \)

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