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Practice flashcards for the algebraic system of equations involving sums, squares, and cubes of three variables.
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a+b+c=4
The first equation in the provided system representing the sum of variables a, b, and c.
a2+b2+c2=10
The second equation in the sequence representing the sum of the squares of the variables.
a3+b3+c3=22
The third equation in the sequence representing the sum of the cubes of the variables.
a2+b+c4=?
The specific expression presented in the transcript as the target for calculation.