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Difficulty: Hard
| ID | Section | Domain | Skill | Difficulty | Question | Actions |
|---|---|---|---|---|---|---|
| math_adv_530 | Math | advanced_math | nonlinear_equations_in... | Hard | How many distinct real solutions does the equation \((x - 5)^2 = -16\) have? | |
| math_adv_529 | Math | advanced_math | nonlinear_equations_in... | Hard | How many distinct real solutions does the equation \((x + 13)^2 = 0\) have? | |
| math_adv_528 | Math | advanced_math | nonlinear_equations_in... | Hard | How many distinct real solutions does the equation \((x - 8)^2 = 49\) have? | |
| math_adv_527 | Math | advanced_math | nonlinear_equations_in... | Hard | How many distinct real solutions does the equation \((x + 2)^2 = -1\) have? | |
| math_adv_526 | Math | advanced_math | nonlinear_equations_in... | Hard | How many distinct real solutions does the equation \((x - 11)^2 = 0\) have? | |
| math_adv_525 | Math | advanced_math | nonlinear_equations_in... | Hard | How many distinct real solutions does the equation \((x + 4)^2 = 25\) have? | |
| math_adv_524 | Math | advanced_math | nonlinear_equations_in... | Hard | How many distinct real solutions does the equation \((x - 6)^2 = -9\) have? | |
| math_adv_523 | Math | advanced_math | nonlinear_equations_in... | Hard | In the \(xy\)-plane, the horizontal line \(2y = c\) touches the parabola \(y = -7x^2 + 21x\) at exactly one point. What is ... | |
| math_adv_522 | Math | advanced_math | nonlinear_equations_in... | Hard | In the \(xy\)-plane, the horizontal line \(3y = c\) touches the parabola \(y = -2x^2 + 14x\) at exactly one point. What is ... | |
| math_adv_521 | Math | advanced_math | nonlinear_equations_in... | Hard | In the \(xy\)-plane, the horizontal line \(5y = c\) touches the parabola \(y = -3x^2 + 9x\) at exactly one point. What is t... |