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If alpha,beta,gamma are the roots of ax^...

If `alpha,beta,gamma` are the roots of `ax^3+bx^2+cx+d=0 and |(alpha,beta,gamma),(beta,gamma,alpha),(gamma,alpha,beta)|=0,alpha !=beta != gamma,` then find the equation whose roots are `alpha+beta-gamma,beta+gamma-alpha, and gamma+alpha-beta.`

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