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Difficulty: Hard
| ID | Section | Domain | Skill | Difficulty | Question | Actions |
|---|---|---|---|---|---|---|
| math_adv_520 | Math | advanced_math | nonlinear_equations_in... | Hard | In the \(xy\)-plane, the horizontal line \(1y = c\) touches the parabola \(y = -8x^2 + 16x\) at exactly one point. What is ... | |
| math_adv_519 | Math | advanced_math | nonlinear_equations_in... | Hard | In the \(xy\)-plane, the horizontal line \(4y = c\) touches the parabola \(y = -1x^2 + 7x\) at exactly one point. What is t... | |
| math_adv_518 | Math | advanced_math | nonlinear_equations_in... | Hard | In the \(xy\)-plane, the horizontal line \(2y = c\) touches the parabola \(y = -6x^2 + 18x\) at exactly one point. What is ... | |
| math_adv_517 | Math | advanced_math | nonlinear_equations_in... | Hard | In the \(xy\)-plane, the horizontal line \(4y = c\) touches the parabola \(y = -5x^2 + 20x\) at exactly one point. What is ... | |
| math_adv_516 | Math | advanced_math | nonlinear_equations_in... | Hard | In the \(xy\)-plane, the horizontal line \(3y = c\) touches the parabola \(y = -4x^2 + 8x\) at exactly one point. What is t... | |
| math_adv_515 | Math | advanced_math | nonlinear_equations_in... | Hard | In the \(xy\)-plane, the horizontal line \(5y = c\) touches the parabola \(y = -2x^2 + 10x\) at exactly one point. What is ... | |
| math_adv_514 | Math | advanced_math | nonlinear_equations_in... | Hard | In the \(xy\)-plane, the horizontal line \(2y = c\) touches the parabola \(y = -3x^2 + 12x\) at exactly one point. What is ... | |
| math_adv_513 | Math | advanced_math | nonlinear_equations_in... | Hard | In the equation \(-7x^2 - 42x + c = 0\), \(c\) is a constant. If the equation has exactly one real solution, what is the ... | |
| math_adv_512 | Math | advanced_math | nonlinear_equations_in... | Hard | In the equation \(5x^2 - 40x + c = 0\), \(c\) is a constant. If the equation has exactly one real solution, what is the v... | |
| math_adv_511 | Math | advanced_math | nonlinear_equations_in... | Hard | In the equation \(-2x^2 + 14x + c = 0\), \(c\) is a constant. If the equation has exactly one real solution, what is the ... |