[["Question: If f is a continuously differentiable real-valued function defined on the open interval (-1, 4) such that f(3) = 5 and f'(x) \u2265 -1 for all x, what is the greatest possible value of f(0)?\nChoices:\nA. 3\nB. 4\nC. 5\nD. 8\nAnswer:", " 3"], ["Question: If f is a continuously differentiable real-valued function defined on the open interval (-1, 4) such that f(3) = 5 and f'(x) \u2265 -1 for all x, what is the greatest possible value of f(0)?\nChoices:\nA. 3\nB. 4\nC. 5\nD. 8\nAnswer:", " 4"], ["Question: If f is a continuously differentiable real-valued function defined on the open interval (-1, 4) such that f(3) = 5 and f'(x) \u2265 -1 for all x, what is the greatest possible value of f(0)?\nChoices:\nA. 3\nB. 4\nC. 5\nD. 8\nAnswer:", " 5"], ["Question: If f is a continuously differentiable real-valued function defined on the open interval (-1, 4) such that f(3) = 5 and f'(x) \u2265 -1 for all x, what is the greatest possible value of f(0)?\nChoices:\nA. 3\nB. 4\nC. 5\nD. 8\nAnswer:", " 8"], ["Question: A group G in which (ab)^2 = a^2b^2 for all a, b in G is necessarily\nChoices:\nA. finite\nB. cyclic\nC. of order two\nD. abelian\nAnswer:", " finite"], ["Question: A group G in which (ab)^2 = a^2b^2 for all a, b in G is necessarily\nChoices:\nA. finite\nB. cyclic\nC. of order two\nD. abelian\nAnswer:", " cyclic"], ["Question: A group G in which (ab)^2 = a^2b^2 for all a, b in G is necessarily\nChoices:\nA. finite\nB. cyclic\nC. of order two\nD. abelian\nAnswer:", " of order two"], ["Question: A group G in which (ab)^2 = a^2b^2 for all a, b in G is necessarily\nChoices:\nA. finite\nB. cyclic\nC. of order two\nD. abelian\nAnswer:", " abelian"], ["Question: If f : (0, 1) \u2192 (0, 1], then which of the following could be TRUE?\nI. f is one-to-one and onto.\nII. The image of f is compact.\nIII. f is continuous, one-to-one, and onto.\nChoices:\nA. I only\nB. II only\nC. I and II only\nD. I and III only\nAnswer:", " I only"], ["Question: If f : (0, 1) \u2192 (0, 1], then which of the following could be TRUE?\nI. f is one-to-one and onto.\nII. The image of f is compact.\nIII. f is continuous, one-to-one, and onto.\nChoices:\nA. I only\nB. II only\nC. I and II only\nD. I and III only\nAnswer:", " II only"], ["Question: If f : (0, 1) \u2192 (0, 1], then which of the following could be TRUE?\nI. f is one-to-one and onto.\nII. The image of f is compact.\nIII. f is continuous, one-to-one, and onto.\nChoices:\nA. I only\nB. II only\nC. I and II only\nD. I and III only\nAnswer:", " I and II only"], ["Question: If f : (0, 1) \u2192 (0, 1], then which of the following could be TRUE?\nI. f is one-to-one and onto.\nII. The image of f is compact.\nIII. f is continuous, one-to-one, and onto.\nChoices:\nA. I only\nB. II only\nC. I and II only\nD. I and III only\nAnswer:", " I and III only"], ["Question: Which of the following is true?\nChoices:\nA. Every compact space is complete\nB. Every complete space is compact\nC. Neither (a) nor (b).\nD.  Both (a) and (b).\nAnswer:", " Every compact space is complete"], ["Question: Which of the following is true?\nChoices:\nA. Every compact space is complete\nB. Every complete space is compact\nC. Neither (a) nor (b).\nD.  Both (a) and (b).\nAnswer:", " Every complete space is compact"], ["Question: Which of the following is true?\nChoices:\nA. Every compact space is complete\nB. Every complete space is compact\nC. Neither (a) nor (b).\nD.  Both (a) and (b).\nAnswer:", " Neither (a) nor (b)."], ["Question: Which of the following is true?\nChoices:\nA. Every compact space is complete\nB. Every complete space is compact\nC. Neither (a) nor (b).\nD.  Both (a) and (b).\nAnswer:", "  Both (a) and (b)."], ["Question: Let x and y be positive integers such that 3x + 7y is divisible by 11. Which of the following must also be divisible by 11?\nChoices:\nA. 4x + 6y\nB. x + y + 5\nC. 9x + 4y\nD. 4x - 9y\nAnswer:", " 4x + 6y"], ["Question: Let x and y be positive integers such that 3x + 7y is divisible by 11. Which of the following must also be divisible by 11?\nChoices:\nA. 4x + 6y\nB. x + y + 5\nC. 9x + 4y\nD. 4x - 9y\nAnswer:", " x + y + 5"], ["Question: Let x and y be positive integers such that 3x + 7y is divisible by 11. Which of the following must also be divisible by 11?\nChoices:\nA. 4x + 6y\nB. x + y + 5\nC. 9x + 4y\nD. 4x - 9y\nAnswer:", " 9x + 4y"], ["Question: Let x and y be positive integers such that 3x + 7y is divisible by 11. Which of the following must also be divisible by 11?\nChoices:\nA. 4x + 6y\nB. x + y + 5\nC. 9x + 4y\nD. 4x - 9y\nAnswer:", " 4x - 9y"], ["Question: In the xy-plane, the graph of x^(log y) = y^log x is\nChoices:\nA. the open first quadrant\nB. a closed curve\nC. a ray in the open first quadrant\nD. a single point\nAnswer:", " the open first quadrant"], ["Question: In the xy-plane, the graph of x^(log y) = y^log x is\nChoices:\nA. the open first quadrant\nB. a closed curve\nC. a ray in the open first quadrant\nD. a single point\nAnswer:", " a closed curve"], ["Question: In the xy-plane, the graph of x^(log y) = y^log x is\nChoices:\nA. the open first quadrant\nB. a closed curve\nC. a ray in the open first quadrant\nD. a single point\nAnswer:", " a ray in the open first quadrant"], ["Question: In the xy-plane, the graph of x^(log y) = y^log x is\nChoices:\nA. the open first quadrant\nB. a closed curve\nC. a ray in the open first quadrant\nD. a single point\nAnswer:", " a single point"], ["Question: Up to isomorphism, how many additive abelian groups G of order 16 have the property that x + x + x + x = 0 for each x in G ?\nChoices:\nA. 0\nB. 1\nC. 2\nD. 3\nAnswer:", " 0"], ["Question: Up to isomorphism, how many additive abelian groups G of order 16 have the property that x + x + x + x = 0 for each x in G ?\nChoices:\nA. 0\nB. 1\nC. 2\nD. 3\nAnswer:", " 1"], ["Question: Up to isomorphism, how many additive abelian groups G of order 16 have the property that x + x + x + x = 0 for each x in G ?\nChoices:\nA. 0\nB. 1\nC. 2\nD. 3\nAnswer:", " 2"], ["Question: Up to isomorphism, how many additive abelian groups G of order 16 have the property that x + x + x + x = 0 for each x in G ?\nChoices:\nA. 0\nB. 1\nC. 2\nD. 3\nAnswer:", " 3"], ["Question: Water drips out of a hole at the vertex of an upside down cone at a rate of 3 cm^3 per minute. The\ncone\u2019s height and radius are 2 cm and 1 cm, respectively. At what rate does the height of the water change\nwhen the water level is half a centimeter below the top of the cone? The volume of a cone is V = (\u03c0/3)*r^2*h,\nwhere r is the radius and h is the height of the cone.\nChoices:\nA. \u221248/\u03c0 cm/min\nB. \u22124/(3\u03c0) cm/min\nC. \u22128/(3\u03c0) cm/min\nD. \u221216/(3\u03c0) cm/min\nAnswer:", " \u221248/\u03c0 cm/min"], ["Question: Water drips out of a hole at the vertex of an upside down cone at a rate of 3 cm^3 per minute. The\ncone\u2019s height and radius are 2 cm and 1 cm, respectively. At what rate does the height of the water change\nwhen the water level is half a centimeter below the top of the cone? The volume of a cone is V = (\u03c0/3)*r^2*h,\nwhere r is the radius and h is the height of the cone.\nChoices:\nA. \u221248/\u03c0 cm/min\nB. \u22124/(3\u03c0) cm/min\nC. \u22128/(3\u03c0) cm/min\nD. \u221216/(3\u03c0) cm/min\nAnswer:", " \u22124/(3\u03c0) cm/min"], ["Question: Water drips out of a hole at the vertex of an upside down cone at a rate of 3 cm^3 per minute. The\ncone\u2019s height and radius are 2 cm and 1 cm, respectively. At what rate does the height of the water change\nwhen the water level is half a centimeter below the top of the cone? The volume of a cone is V = (\u03c0/3)*r^2*h,\nwhere r is the radius and h is the height of the cone.\nChoices:\nA. \u221248/\u03c0 cm/min\nB. \u22124/(3\u03c0) cm/min\nC. \u22128/(3\u03c0) cm/min\nD. \u221216/(3\u03c0) cm/min\nAnswer:", " \u22128/(3\u03c0) cm/min"], ["Question: Water drips out of a hole at the vertex of an upside down cone at a rate of 3 cm^3 per minute. The\ncone\u2019s height and radius are 2 cm and 1 cm, respectively. At what rate does the height of the water change\nwhen the water level is half a centimeter below the top of the cone? The volume of a cone is V = (\u03c0/3)*r^2*h,\nwhere r is the radius and h is the height of the cone.\nChoices:\nA. \u221248/\u03c0 cm/min\nB. \u22124/(3\u03c0) cm/min\nC. \u22128/(3\u03c0) cm/min\nD. \u221216/(3\u03c0) cm/min\nAnswer:", " \u221216/(3\u03c0) cm/min"], ["Question: Let K be a nonempty subset of R^n, where n > 1. Which of the following statements must be true?\nI. If K is compact, then every continuous real-valued function defined on K is bounded.\nII. If every continuous real-valued function defined on K is bounded, then K is compact.\nIII. If K is compact, then K is connected.\nChoices:\nA. I only\nB. II only\nC. III only\nD. I and II only\nAnswer:", " I only"], ["Question: Let K be a nonempty subset of R^n, where n > 1. Which of the following statements must be true?\nI. If K is compact, then every continuous real-valued function defined on K is bounded.\nII. If every continuous real-valued function defined on K is bounded, then K is compact.\nIII. If K is compact, then K is connected.\nChoices:\nA. I only\nB. II only\nC. III only\nD. I and II only\nAnswer:", " II only"], ["Question: Let K be a nonempty subset of R^n, where n > 1. Which of the following statements must be true?\nI. If K is compact, then every continuous real-valued function defined on K is bounded.\nII. If every continuous real-valued function defined on K is bounded, then K is compact.\nIII. If K is compact, then K is connected.\nChoices:\nA. I only\nB. II only\nC. III only\nD. I and II only\nAnswer:", " III only"], ["Question: Let K be a nonempty subset of R^n, where n > 1. Which of the following statements must be true?\nI. If K is compact, then every continuous real-valued function defined on K is bounded.\nII. If every continuous real-valued function defined on K is bounded, then K is compact.\nIII. If K is compact, then K is connected.\nChoices:\nA. I only\nB. II only\nC. III only\nD. I and II only\nAnswer:", " I and II only"], ["Question: A total of x feet of fencing is to form three sides of a level rectangular yard. What is the maximum possible area of the yard, in terms of x ?\nChoices:\nA. x^2/9\nB. x^2/8\nC. x^2/4\nD. x^2\nAnswer:", " x^2/9"], ["Question: A total of x feet of fencing is to form three sides of a level rectangular yard. What is the maximum possible area of the yard, in terms of x ?\nChoices:\nA. x^2/9\nB. x^2/8\nC. x^2/4\nD. x^2\nAnswer:", " x^2/8"], ["Question: A total of x feet of fencing is to form three sides of a level rectangular yard. What is the maximum possible area of the yard, in terms of x ?\nChoices:\nA. x^2/9\nB. x^2/8\nC. x^2/4\nD. x^2\nAnswer:", " x^2/4"], ["Question: A total of x feet of fencing is to form three sides of a level rectangular yard. What is the maximum possible area of the yard, in terms of x ?\nChoices:\nA. x^2/9\nB. x^2/8\nC. x^2/4\nD. x^2\nAnswer:", " x^2"]]