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InternBootcamp/examples/data/InternBootcamp_eval/korOperationUnicode25c6.jsonl
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{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = 1·y\n区域：x ∈ [0, 1], y ∈ [1, 2]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "1·y", "x_range": [0, 1], "y_range": [1, 2], "correct_answer": "3/2", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = sin(x)·cos(y)\n区域：x ∈ [0, 1], y ∈ [0, 1]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "sin(x)·cos(y)", "x_range": [0, 1], "y_range": [0, 1], "correct_answer": "(1 - cos(1))*sin(1)", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = 1·y\n区域：x ∈ [0, 1], y ∈ [0, 1]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "1·y", "x_range": [0, 1], "y_range": [0, 1], "correct_answer": "1/2", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = x·1\n区域：x ∈ [1, 2], y ∈ [1, 2]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "x·1", "x_range": [1, 2], "y_range": [1, 2], "correct_answer": "3/2", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = sin(x)·cos(y)\n区域：x ∈ [0, 2], y ∈ [0, 2]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "sin(x)·cos(y)", "x_range": [0, 2], "y_range": [0, 2], "correct_answer": "(1 - cos(2))*sin(2)", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = e^(x)·e^(y)\n区域：x ∈ [1, 2], y ∈ [2, 3]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "e^(x)·e^(y)", "x_range": [1, 2], "y_range": [2, 3], "correct_answer": "(-E + e^(2))*(-e^(2) + e^(3))", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = 1·1\n区域：x ∈ [0, 1], y ∈ [0, 1]\n\n答案应为整数\n答案格式示例：[[答案]]", "ground_truth": {"function": "1·1", "x_range": [0, 1], "y_range": [0, 1], "correct_answer": "1", "format_type": "integer"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = sin(x)·cos(y)\n区域：x ∈ [0, 1], y ∈ [1, 2]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "sin(x)·cos(y)", "x_range": [0, 1], "y_range": [1, 2], "correct_answer": "(1 - cos(1))*(-sin(1) + sin(2))", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = 1·y\n区域：x ∈ [1, 2], y ∈ [0, 1]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "1·y", "x_range": [1, 2], "y_range": [0, 1], "correct_answer": "1/2", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = x·y\n区域：x ∈ [1, 2], y ∈ [0, 1]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "x·y", "x_range": [1, 2], "y_range": [0, 1], "correct_answer": "3/4", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = 1·y\n区域：x ∈ [0, 1], y ∈ [1, 2]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "1·y", "x_range": [0, 1], "y_range": [1, 2], "correct_answer": "3/2", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = 1·1\n区域：x ∈ [0, 1], y ∈ [0, 1]\n\n答案应为整数\n答案格式示例：[[答案]]", "ground_truth": {"function": "1·1", "x_range": [0, 1], "y_range": [0, 1], "correct_answer": "1", "format_type": "integer"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = e^(x)·e^(y)\n区域：x ∈ [1, 2], y ∈ [0, 1]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "e^(x)·e^(y)", "x_range": [1, 2], "y_range": [0, 1], "correct_answer": "(-1 + E)*(-E + e^(2))", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = e^(x)·e^(y)\n区域：x ∈ [0, 3], y ∈ [1, 3]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "e^(x)·e^(y)", "x_range": [0, 3], "y_range": [1, 3], "correct_answer": "(-1 + e^(3))*(-E + e^(3))", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = e^(x)·e^(y)\n区域：x ∈ [2, 3], y ∈ [1, 3]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "e^(x)·e^(y)", "x_range": [2, 3], "y_range": [1, 3], "correct_answer": "(-E + e^(3))*(-e^(2) + e^(3))", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = sin(x)·cos(y)\n区域：x ∈ [1, 3], y ∈ [1, 2]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "sin(x)·cos(y)", "x_range": [1, 3], "y_range": [1, 2], "correct_answer": "(-sin(1) + sin(2))*(cos(1) - cos(3))", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = x^2·y\n区域：x ∈ [0, 2], y ∈ [1, 3]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "x^2·y", "x_range": [0, 2], "y_range": [1, 3], "correct_answer": "32/3", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = 1·y\n区域：x ∈ [0, 1], y ∈ [1, 2]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "1·y", "x_range": [0, 1], "y_range": [1, 2], "correct_answer": "3/2", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = 1·1\n区域：x ∈ [0, 1], y ∈ [0, 1]\n\n答案应为整数\n答案格式示例：[[答案]]", "ground_truth": {"function": "1·1", "x_range": [0, 1], "y_range": [0, 1], "correct_answer": "1", "format_type": "integer"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = e^(x)·e^(y)\n区域：x ∈ [0, 1], y ∈ [1, 2]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "e^(x)·e^(y)", "x_range": [0, 1], "y_range": [1, 2], "correct_answer": "(-1 + E)*(-E + e^(2))", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = 1·1\n区域：x ∈ [0, 1], y ∈ [1, 2]\n\n答案应为整数\n答案格式示例：[[答案]]", "ground_truth": {"function": "1·1", "x_range": [0, 1], "y_range": [1, 2], "correct_answer": "1", "format_type": "integer"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = e^(x)·e^(y)\n区域：x ∈ [2, 3], y ∈ [2, 3]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "e^(x)·e^(y)", "x_range": [2, 3], "y_range": [2, 3], "correct_answer": "(-e^(2) + e^(3))^2", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = x·y^3\n区域：x ∈ [1, 2], y ∈ [1, 2]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "x·y^3", "x_range": [1, 2], "y_range": [1, 2], "correct_answer": "45/8", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = e^(x)·e^(y)\n区域：x ∈ [1, 2], y ∈ [1, 2]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "e^(x)·e^(y)", "x_range": [1, 2], "y_range": [1, 2], "correct_answer": "(-E + e^(2))^2", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = x·y\n区域：x ∈ [1, 2], y ∈ [1, 2]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "x·y", "x_range": [1, 2], "y_range": [1, 2], "correct_answer": "9/4", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = x·1\n区域：x ∈ [1, 2], y ∈ [0, 2]\n\n答案应为整数\n答案格式示例：[[答案]]", "ground_truth": {"function": "x·1", "x_range": [1, 2], "y_range": [0, 2], "correct_answer": "3", "format_type": "integer"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = sin(x)·cos(y)\n区域：x ∈ [0, 1], y ∈ [0, 1]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "sin(x)·cos(y)", "x_range": [0, 1], "y_range": [0, 1], "correct_answer": "(1 - cos(1))*sin(1)", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = 1·y\n区域：x ∈ [1, 2], y ∈ [1, 2]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "1·y", "x_range": [1, 2], "y_range": [1, 2], "correct_answer": "3/2", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = x·y\n区域：x ∈ [0, 1], y ∈ [0, 1]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "x·y", "x_range": [0, 1], "y_range": [0, 1], "correct_answer": "1/4", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = 1·y\n区域：x ∈ [0, 1], y ∈ [1, 2]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "1·y", "x_range": [0, 1], "y_range": [1, 2], "correct_answer": "3/2", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = x·y\n区域：x ∈ [0, 1], y ∈ [0, 1]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "x·y", "x_range": [0, 1], "y_range": [0, 1], "correct_answer": "1/4", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = x^2·y^3\n区域：x ∈ [1, 2], y ∈ [1, 2]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "x^2·y^3", "x_range": [1, 2], "y_range": [1, 2], "correct_answer": "35/4", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = 1·1\n区域：x ∈ [0, 1], y ∈ [0, 1]\n\n答案应为整数\n答案格式示例：[[答案]]", "ground_truth": {"function": "1·1", "x_range": [0, 1], "y_range": [0, 1], "correct_answer": "1", "format_type": "integer"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = e^(x)·e^(y)\n区域：x ∈ [0, 1], y ∈ [1, 2]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "e^(x)·e^(y)", "x_range": [0, 1], "y_range": [1, 2], "correct_answer": "(-1 + E)*(-E + e^(2))", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = 1·y^2\n区域：x ∈ [2, 3], y ∈ [0, 2]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "1·y^2", "x_range": [2, 3], "y_range": [0, 2], "correct_answer": "8/3", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = 1·y\n区域：x ∈ [0, 1], y ∈ [0, 1]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "1·y", "x_range": [0, 1], "y_range": [0, 1], "correct_answer": "1/2", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = 1·y\n区域：x ∈ [0, 3], y ∈ [0, 3]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "1·y", "x_range": [0, 3], "y_range": [0, 3], "correct_answer": "27/2", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = e^(x)·e^(y)\n区域：x ∈ [0, 1], y ∈ [0, 1]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "e^(x)·e^(y)", "x_range": [0, 1], "y_range": [0, 1], "correct_answer": "(-1 + E)^2", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = 1·y\n区域：x ∈ [0, 1], y ∈ [0, 1]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "1·y", "x_range": [0, 1], "y_range": [0, 1], "correct_answer": "1/2", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = 1·y\n区域：x ∈ [1, 2], y ∈ [1, 2]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "1·y", "x_range": [1, 2], "y_range": [1, 2], "correct_answer": "3/2", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = x·y\n区域：x ∈ [0, 1], y ∈ [0, 1]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "x·y", "x_range": [0, 1], "y_range": [0, 1], "correct_answer": "1/4", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = sin(x)·cos(y)\n区域：x ∈ [0, 1], y ∈ [0, 1]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "sin(x)·cos(y)", "x_range": [0, 1], "y_range": [0, 1], "correct_answer": "(1 - cos(1))*sin(1)", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = sin(x)·cos(y)\n区域：x ∈ [1, 2], y ∈ [1, 2]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "sin(x)·cos(y)", "x_range": [1, 2], "y_range": [1, 2], "correct_answer": "(-sin(1) + sin(2))*(-cos(2) + cos(1))", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = e^(x)·e^(y)\n区域：x ∈ [0, 1], y ∈ [1, 2]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "e^(x)·e^(y)", "x_range": [0, 1], "y_range": [1, 2], "correct_answer": "(-1 + E)*(-E + e^(2))", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = e^(x)·e^(y)\n区域：x ∈ [0, 1], y ∈ [1, 2]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "e^(x)·e^(y)", "x_range": [0, 1], "y_range": [1, 2], "correct_answer": "(-1 + E)*(-E + e^(2))", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = e^(x)·e^(y)\n区域：x ∈ [1, 2], y ∈ [1, 2]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "e^(x)·e^(y)", "x_range": [1, 2], "y_range": [1, 2], "correct_answer": "(-E + e^(2))^2", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = 1·y\n区域：x ∈ [1, 2], y ∈ [0, 1]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "1·y", "x_range": [1, 2], "y_range": [0, 1], "correct_answer": "1/2", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = sin(x)·cos(y)\n区域：x ∈ [1, 2], y ∈ [0, 2]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "sin(x)·cos(y)", "x_range": [1, 2], "y_range": [0, 2], "correct_answer": "(-cos(2) + cos(1))*sin(2)", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = x·y\n区域：x ∈ [0, 1], y ∈ [1, 2]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "x·y", "x_range": [0, 1], "y_range": [1, 2], "correct_answer": "3/4", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = x·y\n区域：x ∈ [1, 3], y ∈ [0, 1]\n\n答案应为整数\n答案格式示例：[[答案]]", "ground_truth": {"function": "x·y", "x_range": [1, 3], "y_range": [0, 1], "correct_answer": "2", "format_type": "integer"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = sin(x)·cos(y)\n区域：x ∈ [0, 1], y ∈ [1, 2]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "sin(x)·cos(y)", "x_range": [0, 1], "y_range": [1, 2], "correct_answer": "(1 - cos(1))*(-sin(1) + sin(2))", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = 1·y\n区域：x ∈ [2, 3], y ∈ [2, 3]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "1·y", "x_range": [2, 3], "y_range": [2, 3], "correct_answer": "5/2", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = 1·y\n区域：x ∈ [0, 1], y ∈ [0, 1]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "1·y", "x_range": [0, 1], "y_range": [0, 1], "correct_answer": "1/2", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = 1·y\n区域：x ∈ [1, 2], y ∈ [0, 1]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "1·y", "x_range": [1, 2], "y_range": [0, 1], "correct_answer": "1/2", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = sin(x)·cos(y)\n区域：x ∈ [0, 1], y ∈ [1, 2]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "sin(x)·cos(y)", "x_range": [0, 1], "y_range": [1, 2], "correct_answer": "(1 - cos(1))*(-sin(1) + sin(2))", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = x·1\n区域：x ∈ [2, 3], y ∈ [2, 3]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "x·1", "x_range": [2, 3], "y_range": [2, 3], "correct_answer": "5/2", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = 1·y\n区域：x ∈ [0, 1], y ∈ [0, 1]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "1·y", "x_range": [0, 1], "y_range": [0, 1], "correct_answer": "1/2", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = 1·y\n区域：x ∈ [1, 2], y ∈ [1, 2]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "1·y", "x_range": [1, 2], "y_range": [1, 2], "correct_answer": "3/2", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = e^(x)·e^(y)\n区域：x ∈ [0, 1], y ∈ [1, 2]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "e^(x)·e^(y)", "x_range": [0, 1], "y_range": [1, 2], "correct_answer": "(-1 + E)*(-E + e^(2))", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = sin(x)·cos(y)\n区域：x ∈ [0, 1], y ∈ [1, 2]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "sin(x)·cos(y)", "x_range": [0, 1], "y_range": [1, 2], "correct_answer": "(1 - cos(1))*(-sin(1) + sin(2))", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = e^(x)·e^(y)\n区域：x ∈ [0, 1], y ∈ [1, 2]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "e^(x)·e^(y)", "x_range": [0, 1], "y_range": [1, 2], "correct_answer": "(-1 + E)*(-E + e^(2))", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = e^(x)·e^(y)\n区域：x ∈ [0, 1], y ∈ [0, 1]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "e^(x)·e^(y)", "x_range": [0, 1], "y_range": [0, 1], "correct_answer": "(-1 + E)^2", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = x^2·y\n区域：x ∈ [1, 2], y ∈ [0, 2]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "x^2·y", "x_range": [1, 2], "y_range": [0, 2], "correct_answer": "14/3", "format_type": "fraction"}}
{"data_source": "KorOperationUnicode25c6", "prompt": "计算二重积分 f◆D：\n \n函数：f(x,y) = sin(x)·cos(y)\n区域：x ∈ [2, 3], y ∈ [2, 3]\n\n请使用分数格式 a/b\n答案格式示例：[[答案]]", "ground_truth": {"function": "sin(x)·cos(y)", "x_range": [2, 3], "y_range": [2, 3], "correct_answer": "(-sin(2) + sin(3))*(cos(2) - cos(3))", "format_type": "fraction"}}
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