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I am providing you a response from a model to a math problem, termed 'Model Response'. You should extract the answer from the response as 'Extracted Answer'. Directly output the extracted answer with no explanation.
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Model response: 'Rounded to two decimal places, the perimeter of the sector is approximately:\n\n(-2, 1)'
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Extracted Answer: (-2, 1)
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Model response: 'at those points.\n\nTherefore, the correct option that represents the meaning of the intersection points of the graphs is:\n\nD. They give the solutions to the equation $f(t)=g(t)$.",'
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Extracted Answer: D
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Model response: ' at 1 (there's a closed circle at y = 1), the range in interval notation is \\((-4, 1]\\).\n\nFinal values:\nDomain: \\((-3, 3]\\)\nRange: \\((-4, 1]\\)'
Model response: 'As it stands, I cannot provide the correct option letter because there isn't enough information to solve for 'y'.'
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Extracted Answer: null
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Model response: 'Given that AB = 17.6 meters, we can now substitute into the equation:\n\nd = 17.6 / cos(38\u00b0)\n\nTherefore, to one decimal place, the distance d between Ned and Bart is approximately 22.3 meters.'
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Extracted answer: 22.3
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Model response: have all the coefficients for the quadratic function:\n\\( f(x) = ax^2 + bx + c \\)\n\\( f(x) = -1x^2 - 2x + 1 \\)\n\nTherefore, the equation for the graphed function \\( f \\) is:\n\\( f(x) = -x^2 - 2x + 1 \\)"'
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Extracted answer: f(x) = -x^2 - 2x + 1
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"""
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DEMO_PROMPT_SCORE="""
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Below are two answers to a math question. Question is [Question], [Standard Answer] is the standard answer to the question, and [Model_answer] is the answer extracted from a model's output to this question. Determine whether these two answers are consistent.
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Please note that only when the [Model_answer] completely matches the [Standard Answer] means they are consistent. For non-multiple-choice questions, if the meaning is expressed in the same way, it is also considered consistent, for example, 0.5m and 50cm.
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If they are consistent, Judement is 1; if they are different, Judement is 0.
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[Question]: Write the set of numbers represented on the number line in interval notation.
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[Standard Answer]: (-2,1]
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[Model_answer] : Extracted Answer: \\((-2, 1)\\)
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Judgement: 0
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[Question]: As shown in the figure, circle O has a radius 1.0, if angle BAC = 60.0, then the length of BC is ()\nChoices:\nA:2\nB:2\u221a{{3}}\nC:\u221a{{3}}\nD:2\u221a{{2}}
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[Standard Answer]: C
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[Model_answer] : B:2\u221a{{3}}
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Judgement: 0
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[Question]: Find the domain and range of the function f using interval notation.
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[Standard Answer]: domain: [-4, 0) and range: (-3, 1]
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[Model_answer] : Range: \\((-4, 1]\\)
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Judgement: 0
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[Question]: As shown in the figure, circle O has a radius 1.0, if angle BAC = 60.0, then the length of BC is ()\nChoices:\nA:2\nB:2\u221a{{3}}\nC:\u221a{{3}}\nD:2\u221a{{2}}
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[Standard Answer]: C
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[Model_answer] : null
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Judgement: 0
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[Question]: Given the graph of the ellipse that intersects with x-axis at 9 and -9 and with y-axis at 3 and -3, determine its equation.A. \\frac{{x^2}}{{81}} + \\frac{{y^2}}{{9}} = 1 B. Can not determine.\n
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