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If 1a−1b=−37\frac{1}{a}-\frac{1}{b}=-37a1−b1=−37, the value of a+8ab−ba−3ab−b\frac{a+8ab-b}{a-3ab-b}a−3ab−ba+8ab−b can be expressed as nm\frac{n}{m}mn, where mmm and nnn are coprime positive integers. What is the value of m+nm+nm+n?
If the polynomial x2−y2+11x+7y+18x^2-y^2+11x+7y+18x2−y2+11x+7y+18 can be factorized as (x+y+a)(x−y+b),(x+y+a)(x-y+b),(x+y+a)(x−y+b), what is the value of a+b?a+b?a+b?
If −x3+6x2−6x+36-x^3+6x^2-6x+36−x3+6x2−6x+36 is factorized as (a−x)(x2+b),(a-x)(x^2+b),(a−x)(x2+b), what is the value of a+ba+ba+b?
If x+2y−6+3(1−x−2y)=−51x+2y-6+3(1-x-2y)=-51x+2y−6+3(1−x−2y)=−51, what is x+2yx+2yx+2y?
If x+2y=−13x+2y=-13x+2y=−13, what is the value of x2+4xy−2x−4y−3+4y2?x^2+4xy-2x-4y-3+4y^2?x2+4xy−2x−4y−3+4y2?
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