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Difficulty: Hard
| ID | Section | Domain | Skill | Difficulty | Question | Actions |
|---|---|---|---|---|---|---|
| math_adv_470 | Math | advanced_math | nonlinear_equations_in... | Hard | In the \(xy\)-plane, the horizontal line \(y = 16\) intersects the parabola \(y = -1x^2 + bx\) at exactly one point. If \(b\)... | |
| math_adv_469 | Math | advanced_math | nonlinear_equations_in... | Hard | In the \(xy\)-plane, the horizontal line \(y = 18\) intersects the parabola \(y = -2x^2 + bx\) at exactly one point. If \(b\)... | |
| math_adv_468 | Math | advanced_math | nonlinear_equations_in... | Hard | In the \(xy\)-plane, the horizontal line \(y = 5\) intersects the parabola \(y = -5x^2 + bx\) at exactly one point. If \(b\) ... | |
| math_adv_467 | Math | advanced_math | nonlinear_equations_in... | Hard | In the \(xy\)-plane, the horizontal line \(y = 4\) intersects the parabola \(y = -4x^2 + bx\) at exactly one point. If \(b\) ... | |
| math_adv_466 | Math | advanced_math | nonlinear_equations_in... | Hard | In the \(xy\)-plane, the horizontal line \(y = 12\) intersects the parabola \(y = -3x^2 + bx\) at exactly one point. If \(b\)... | |
| math_adv_465 | Math | advanced_math | nonlinear_equations_in... | Hard | In the \(xy\)-plane, the horizontal line \(y = 8\) intersects the parabola \(y = -2x^2 + bx\) at exactly one point. If \(b\) ... | |
| math_adv_464 | Math | advanced_math | nonlinear_equations_in... | Hard | In the \(xy\)-plane, the horizontal line \(y = 9\) intersects the parabola \(y = -1x^2 + bx\) at exactly one point. If \(b\) ... | |
| math_adv_463 | Math | advanced_math | equivalent_expressions | Hard | One factor of \(2x^3 + 62x^2 + 440x\) is \(x + b\), where \(b\) is a positive constant. What is the smallest possible value... | |
| math_adv_462 | Math | advanced_math | equivalent_expressions | Hard | One factor of \(7x^3 + 175x^2 + 798x\) is \(x + b\), where \(b\) is a positive constant. What is the smallest possible valu... | |
| math_adv_461 | Math | advanced_math | equivalent_expressions | Hard | One factor of \(4x^3 + 92x^2 + 360x\) is \(x + b\), where \(b\) is a positive constant. What is the smallest possible value... |