
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
The graphs of \( y = x^3 - 5x + 4 \) and \( x + 3y = 3 \) intersect at the points \( (x_1, y_1) \), \( (x_2, y_2) \), and \( (x_3, y_3) \). If \( x_1 + x_2 + x_3 = A \) and \( y_1 + y_2 + y_3 = B \), compute the ordered pair \( (A, B) \).

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