{"question": "Simplify the fraction $\\frac{92}{524}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{23}{131}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 0, "numerator": 92, "denominator": 524, "simplified_numerator": 23, "simplified_denominator": 131, "reduction_factor": 4, "style": "latex_frac", "factor": 4, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $3600/26370$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$40/293$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 1, "numerator": 3600, "denominator": 26370, "simplified_numerator": 40, "simplified_denominator": 293, "reduction_factor": 90, "style": "latex_inline", "factor": 90, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 29330/37310 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "419/533", "metadata": {"source_dataset": "fraction_simplification", "source_index": 2, "numerator": 29330, "denominator": 37310, "simplified_numerator": 419, "simplified_denominator": 533, "reduction_factor": 70, "style": "plain", "factor": 70, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{17577}{26964}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{279}{428}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 3, "numerator": 17577, "denominator": 26964, "simplified_numerator": 279, "simplified_denominator": 428, "reduction_factor": 63, "style": "latex_frac", "factor": 63, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 4108/47320 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "79/910", "metadata": {"source_dataset": "fraction_simplification", "source_index": 4, "numerator": 4108, "denominator": 47320, "simplified_numerator": 79, "simplified_denominator": 910, "reduction_factor": 52, "style": "plain", "factor": 52, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{3640}{20216}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{65}{361}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 5, "numerator": 3640, "denominator": 20216, "simplified_numerator": 65, "simplified_denominator": 361, "reduction_factor": 56, "style": "latex_dfrac", "factor": 56, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{2754}{4777}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{162}{281}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 6, "numerator": 2754, "denominator": 4777, "simplified_numerator": 162, "simplified_denominator": 281, "reduction_factor": 17, "style": "latex_frac", "factor": 17, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 3657/18709 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "69/353", "metadata": {"source_dataset": "fraction_simplification", "source_index": 7, "numerator": 3657, "denominator": 18709, "simplified_numerator": 69, "simplified_denominator": 353, "reduction_factor": 53, "style": "plain", "factor": 53, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{17850}{30695}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{510}{877}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 8, "numerator": 17850, "denominator": 30695, "simplified_numerator": 510, "simplified_denominator": 877, "reduction_factor": 35, "style": "latex_frac", "factor": 35, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $16250/55835$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$250/859$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 9, "numerator": 16250, "denominator": 55835, "simplified_numerator": 250, "simplified_denominator": 859, "reduction_factor": 65, "style": "latex_inline", "factor": 65, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{5208}{25575}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{56}{275}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 10, "numerator": 5208, "denominator": 25575, "simplified_numerator": 56, "simplified_denominator": 275, "reduction_factor": 93, "style": "latex_dfrac", "factor": 93, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{8848}{12236}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{316}{437}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 11, "numerator": 8848, "denominator": 12236, "simplified_numerator": 316, "simplified_denominator": 437, "reduction_factor": 28, "style": "latex_dfrac", "factor": 28, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{2679}{17784}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{47}{312}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 12, "numerator": 2679, "denominator": 17784, "simplified_numerator": 47, "simplified_denominator": 312, "reduction_factor": 57, "style": "latex_frac", "factor": 57, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $2418/25324$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$93/974$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 13, "numerator": 2418, "denominator": 25324, "simplified_numerator": 93, "simplified_denominator": 974, "reduction_factor": 26, "style": "latex_inline", "factor": 26, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 5688/6480 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "79/90", "metadata": {"source_dataset": "fraction_simplification", "source_index": 14, "numerator": 5688, "denominator": 6480, "simplified_numerator": 79, "simplified_denominator": 90, "reduction_factor": 72, "style": "plain", "factor": 72, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 3344/28652 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "44/377", "metadata": {"source_dataset": "fraction_simplification", "source_index": 15, "numerator": 3344, "denominator": 28652, "simplified_numerator": 44, "simplified_denominator": 377, "reduction_factor": 76, "style": "plain", "factor": 76, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $5454/16065$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$202/595$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 16, "numerator": 5454, "denominator": 16065, "simplified_numerator": 202, "simplified_denominator": 595, "reduction_factor": 27, "style": "latex_inline", "factor": 27, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{7308}{19320}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{87}{230}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 17, "numerator": 7308, "denominator": 19320, "simplified_numerator": 87, "simplified_denominator": 230, "reduction_factor": 84, "style": "latex_dfrac", "factor": 84, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $21534/23384$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$291/316$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 18, "numerator": 21534, "denominator": 23384, "simplified_numerator": 291, "simplified_denominator": 316, "reduction_factor": 74, "style": "latex_inline", "factor": 74, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $13464/36504$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$187/507$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 19, "numerator": 13464, "denominator": 36504, "simplified_numerator": 187, "simplified_denominator": 507, "reduction_factor": 72, "style": "latex_inline", "factor": 72, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 13570/21873 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "590/951", "metadata": {"source_dataset": "fraction_simplification", "source_index": 20, "numerator": 13570, "denominator": 21873, "simplified_numerator": 590, "simplified_denominator": 951, "reduction_factor": 23, "style": "plain", "factor": 23, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{17290}{17328}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{455}{456}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 21, "numerator": 17290, "denominator": 17328, "simplified_numerator": 455, "simplified_denominator": 456, "reduction_factor": 38, "style": "latex_frac", "factor": 38, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{1296}{4941}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{16}{61}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 22, "numerator": 1296, "denominator": 4941, "simplified_numerator": 16, "simplified_denominator": 61, "reduction_factor": 81, "style": "latex_dfrac", "factor": 81, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $10952/15725$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$296/425$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 23, "numerator": 10952, "denominator": 15725, "simplified_numerator": 296, "simplified_denominator": 425, "reduction_factor": 37, "style": "latex_inline", "factor": 37, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $4088/17920$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$73/320$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 24, "numerator": 4088, "denominator": 17920, "simplified_numerator": 73, "simplified_denominator": 320, "reduction_factor": 56, "style": "latex_inline", "factor": 56, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{1089}{1683}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{11}{17}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 25, "numerator": 1089, "denominator": 1683, "simplified_numerator": 11, "simplified_denominator": 17, "reduction_factor": 99, "style": "latex_dfrac", "factor": 99, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 21271/33820 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "239/380", "metadata": {"source_dataset": "fraction_simplification", "source_index": 26, "numerator": 21271, "denominator": 33820, "simplified_numerator": 239, "simplified_denominator": 380, "reduction_factor": 89, "style": "plain", "factor": 89, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $507/9113$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$39/701$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 27, "numerator": 507, "denominator": 9113, "simplified_numerator": 39, "simplified_denominator": 701, "reduction_factor": 13, "style": "latex_inline", "factor": 13, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{2318}{17708}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{61}{466}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 28, "numerator": 2318, "denominator": 17708, "simplified_numerator": 61, "simplified_denominator": 466, "reduction_factor": 38, "style": "latex_dfrac", "factor": 38, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 26560/41680 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "332/521", "metadata": {"source_dataset": "fraction_simplification", "source_index": 29, "numerator": 26560, "denominator": 41680, "simplified_numerator": 332, "simplified_denominator": 521, "reduction_factor": 80, "style": "plain", "factor": 80, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $5852/61677$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$76/801$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 30, "numerator": 5852, "denominator": 61677, "simplified_numerator": 76, "simplified_denominator": 801, "reduction_factor": 77, "style": "latex_inline", "factor": 77, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{1170}{2665}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{18}{41}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 31, "numerator": 1170, "denominator": 2665, "simplified_numerator": 18, "simplified_denominator": 41, "reduction_factor": 65, "style": "latex_dfrac", "factor": 65, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 41316/58146 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "626/881", "metadata": {"source_dataset": "fraction_simplification", "source_index": 32, "numerator": 41316, "denominator": 58146, "simplified_numerator": 626, "simplified_denominator": 881, "reduction_factor": 66, "style": "plain", "factor": 66, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{25872}{33544}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{462}{599}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 33, "numerator": 25872, "denominator": 33544, "simplified_numerator": 462, "simplified_denominator": 599, "reduction_factor": 56, "style": "latex_dfrac", "factor": 56, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $200/250$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$4/5$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 34, "numerator": 200, "denominator": 250, "simplified_numerator": 4, "simplified_denominator": 5, "reduction_factor": 50, "style": "latex_inline", "factor": 50, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $1554/4914$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$37/117$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 35, "numerator": 1554, "denominator": 4914, "simplified_numerator": 37, "simplified_denominator": 117, "reduction_factor": 42, "style": "latex_inline", "factor": 42, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{2509}{10855}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{193}{835}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 36, "numerator": 2509, "denominator": 10855, "simplified_numerator": 193, "simplified_denominator": 835, "reduction_factor": 13, "style": "latex_frac", "factor": 13, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $6705/20205$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$149/449$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 37, "numerator": 6705, "denominator": 20205, "simplified_numerator": 149, "simplified_denominator": 449, "reduction_factor": 45, "style": "latex_inline", "factor": 45, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{19530}{28280}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{279}{404}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 38, "numerator": 19530, "denominator": 28280, "simplified_numerator": 279, "simplified_denominator": 404, "reduction_factor": 70, "style": "latex_dfrac", "factor": 70, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{30621}{50740}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{519}{860}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 39, "numerator": 30621, "denominator": 50740, "simplified_numerator": 519, "simplified_denominator": 860, "reduction_factor": 59, "style": "latex_frac", "factor": 59, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{9387}{49644}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{149}{788}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 40, "numerator": 9387, "denominator": 49644, "simplified_numerator": 149, "simplified_denominator": 788, "reduction_factor": 63, "style": "latex_frac", "factor": 63, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 30031/51035 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "509/865", "metadata": {"source_dataset": "fraction_simplification", "source_index": 41, "numerator": 30031, "denominator": 51035, "simplified_numerator": 509, "simplified_denominator": 865, "reduction_factor": 59, "style": "plain", "factor": 59, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 9700/25000 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "97/250", "metadata": {"source_dataset": "fraction_simplification", "source_index": 42, "numerator": 9700, "denominator": 25000, "simplified_numerator": 97, "simplified_denominator": 250, "reduction_factor": 100, "style": "plain", "factor": 100, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 16195/56801 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "205/719", "metadata": {"source_dataset": "fraction_simplification", "source_index": 43, "numerator": 16195, "denominator": 56801, "simplified_numerator": 205, "simplified_denominator": 719, "reduction_factor": 79, "style": "plain", "factor": 79, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{3188}{3244}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{797}{811}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 44, "numerator": 3188, "denominator": 3244, "simplified_numerator": 797, "simplified_denominator": 811, "reduction_factor": 4, "style": "latex_frac", "factor": 4, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 625/3150 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "25/126", "metadata": {"source_dataset": "fraction_simplification", "source_index": 45, "numerator": 625, "denominator": 3150, "simplified_numerator": 25, "simplified_denominator": 126, "reduction_factor": 25, "style": "plain", "factor": 25, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{5100}{12475}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{204}{499}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 46, "numerator": 5100, "denominator": 12475, "simplified_numerator": 204, "simplified_denominator": 499, "reduction_factor": 25, "style": "latex_frac", "factor": 25, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{6552}{61386}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{84}{787}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 47, "numerator": 6552, "denominator": 61386, "simplified_numerator": 84, "simplified_denominator": 787, "reduction_factor": 78, "style": "latex_frac", "factor": 78, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{2508}{8772}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{209}{731}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 48, "numerator": 2508, "denominator": 8772, "simplified_numerator": 209, "simplified_denominator": 731, "reduction_factor": 12, "style": "latex_dfrac", "factor": 12, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $1978/13915$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$86/605$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 49, "numerator": 1978, "denominator": 13915, "simplified_numerator": 86, "simplified_denominator": 605, "reduction_factor": 23, "style": "latex_inline", "factor": 23, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{31536}{38617}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{432}{529}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 50, "numerator": 31536, "denominator": 38617, "simplified_numerator": 432, "simplified_denominator": 529, "reduction_factor": 73, "style": "latex_frac", "factor": 73, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{11136}{11968}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{174}{187}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 51, "numerator": 11136, "denominator": 11968, "simplified_numerator": 174, "simplified_denominator": 187, "reduction_factor": 64, "style": "latex_frac", "factor": 64, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{2992}{8960}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{187}{560}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 52, "numerator": 2992, "denominator": 8960, "simplified_numerator": 187, "simplified_denominator": 560, "reduction_factor": 16, "style": "latex_frac", "factor": 16, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $35970/51414$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$545/779$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 53, "numerator": 35970, "denominator": 51414, "simplified_numerator": 545, "simplified_denominator": 779, "reduction_factor": 66, "style": "latex_inline", "factor": 66, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{1479}{1740}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{17}{20}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 54, "numerator": 1479, "denominator": 1740, "simplified_numerator": 17, "simplified_denominator": 20, "reduction_factor": 87, "style": "latex_dfrac", "factor": 87, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 240/528 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "5/11", "metadata": {"source_dataset": "fraction_simplification", "source_index": 55, "numerator": 240, "denominator": 528, "simplified_numerator": 5, "simplified_denominator": 11, "reduction_factor": 48, "style": "plain", "factor": 48, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{2190}{3534}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{365}{589}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 56, "numerator": 2190, "denominator": 3534, "simplified_numerator": 365, "simplified_denominator": 589, "reduction_factor": 6, "style": "latex_frac", "factor": 6, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $1690/1794$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$65/69$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 57, "numerator": 1690, "denominator": 1794, "simplified_numerator": 65, "simplified_denominator": 69, "reduction_factor": 26, "style": "latex_inline", "factor": 26, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $2950/9263$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$50/157$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 58, "numerator": 2950, "denominator": 9263, "simplified_numerator": 50, "simplified_denominator": 157, "reduction_factor": 59, "style": "latex_inline", "factor": 59, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{3725}{5425}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{149}{217}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 59, "numerator": 3725, "denominator": 5425, "simplified_numerator": 149, "simplified_denominator": 217, "reduction_factor": 25, "style": "latex_frac", "factor": 25, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{12008}{54747}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{152}{693}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 60, "numerator": 12008, "denominator": 54747, "simplified_numerator": 152, "simplified_denominator": 693, "reduction_factor": 79, "style": "latex_frac", "factor": 79, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $3627/5673$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$39/61$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 61, "numerator": 3627, "denominator": 5673, "simplified_numerator": 39, "simplified_denominator": 61, "reduction_factor": 93, "style": "latex_inline", "factor": 93, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $546/25558$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$21/983$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 62, "numerator": 546, "denominator": 25558, "simplified_numerator": 21, "simplified_denominator": 983, "reduction_factor": 26, "style": "latex_inline", "factor": 26, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 4545/6750 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "101/150", "metadata": {"source_dataset": "fraction_simplification", "source_index": 63, "numerator": 4545, "denominator": 6750, "simplified_numerator": 101, "simplified_denominator": 150, "reduction_factor": 45, "style": "plain", "factor": 45, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 3472/4402 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "56/71", "metadata": {"source_dataset": "fraction_simplification", "source_index": 64, "numerator": 3472, "denominator": 4402, "simplified_numerator": 56, "simplified_denominator": 71, "reduction_factor": 62, "style": "plain", "factor": 62, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{18975}{47625}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{253}{635}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 65, "numerator": 18975, "denominator": 47625, "simplified_numerator": 253, "simplified_denominator": 635, "reduction_factor": 75, "style": "latex_dfrac", "factor": 75, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{1474}{8063}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{134}{733}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 66, "numerator": 1474, "denominator": 8063, "simplified_numerator": 134, "simplified_denominator": 733, "reduction_factor": 11, "style": "latex_dfrac", "factor": 11, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{13865}{16933}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{235}{287}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 67, "numerator": 13865, "denominator": 16933, "simplified_numerator": 235, "simplified_denominator": 287, "reduction_factor": 59, "style": "latex_dfrac", "factor": 59, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $30646/73689$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$398/957$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 68, "numerator": 30646, "denominator": 73689, "simplified_numerator": 398, "simplified_denominator": 957, "reduction_factor": 77, "style": "latex_inline", "factor": 77, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{5936}{6804}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{212}{243}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 69, "numerator": 5936, "denominator": 6804, "simplified_numerator": 212, "simplified_denominator": 243, "reduction_factor": 28, "style": "latex_frac", "factor": 28, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{42398}{73358}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{493}{853}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 70, "numerator": 42398, "denominator": 73358, "simplified_numerator": 493, "simplified_denominator": 853, "reduction_factor": 86, "style": "latex_frac", "factor": 86, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{1488}{31155}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{16}{335}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 71, "numerator": 1488, "denominator": 31155, "simplified_numerator": 16, "simplified_denominator": 335, "reduction_factor": 93, "style": "latex_frac", "factor": 93, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{3211}{7501}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{247}{577}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 72, "numerator": 3211, "denominator": 7501, "simplified_numerator": 247, "simplified_denominator": 577, "reduction_factor": 13, "style": "latex_frac", "factor": 13, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 2522/7956 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "97/306", "metadata": {"source_dataset": "fraction_simplification", "source_index": 73, "numerator": 2522, "denominator": 7956, "simplified_numerator": 97, "simplified_denominator": 306, "reduction_factor": 26, "style": "plain", "factor": 26, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{29414}{32417}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{382}{421}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 74, "numerator": 29414, "denominator": 32417, "simplified_numerator": 382, "simplified_denominator": 421, "reduction_factor": 77, "style": "latex_frac", "factor": 77, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $682/902$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$31/41$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 75, "numerator": 682, "denominator": 902, "simplified_numerator": 31, "simplified_denominator": 41, "reduction_factor": 22, "style": "latex_inline", "factor": 22, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{192}{216}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{8}{9}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 76, "numerator": 192, "denominator": 216, "simplified_numerator": 8, "simplified_denominator": 9, "reduction_factor": 24, "style": "latex_frac", "factor": 24, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{7032}{22776}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{293}{949}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 77, "numerator": 7032, "denominator": 22776, "simplified_numerator": 293, "simplified_denominator": 949, "reduction_factor": 24, "style": "latex_dfrac", "factor": 24, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{3175}{6600}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{127}{264}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 78, "numerator": 3175, "denominator": 6600, "simplified_numerator": 127, "simplified_denominator": 264, "reduction_factor": 25, "style": "latex_dfrac", "factor": 25, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{3375}{8400}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{45}{112}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 79, "numerator": 3375, "denominator": 8400, "simplified_numerator": 45, "simplified_denominator": 112, "reduction_factor": 75, "style": "latex_dfrac", "factor": 75, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{16863}{40271}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{219}{523}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 80, "numerator": 16863, "denominator": 40271, "simplified_numerator": 219, "simplified_denominator": 523, "reduction_factor": 77, "style": "latex_frac", "factor": 77, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{648}{3300}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{54}{275}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 81, "numerator": 648, "denominator": 3300, "simplified_numerator": 54, "simplified_denominator": 275, "reduction_factor": 12, "style": "latex_dfrac", "factor": 12, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 6745/23288 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "95/328", "metadata": {"source_dataset": "fraction_simplification", "source_index": 82, "numerator": 6745, "denominator": 23288, "simplified_numerator": 95, "simplified_denominator": 328, "reduction_factor": 71, "style": "plain", "factor": 71, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{7221}{26738}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{249}{922}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 83, "numerator": 7221, "denominator": 26738, "simplified_numerator": 249, "simplified_denominator": 922, "reduction_factor": 29, "style": "latex_frac", "factor": 29, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{4588}{43438}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{62}{587}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 84, "numerator": 4588, "denominator": 43438, "simplified_numerator": 62, "simplified_denominator": 587, "reduction_factor": 74, "style": "latex_dfrac", "factor": 74, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 3680/74800 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "46/935", "metadata": {"source_dataset": "fraction_simplification", "source_index": 85, "numerator": 3680, "denominator": 74800, "simplified_numerator": 46, "simplified_denominator": 935, "reduction_factor": 80, "style": "plain", "factor": 80, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{8990}{9951}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{290}{321}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 86, "numerator": 8990, "denominator": 9951, "simplified_numerator": 290, "simplified_denominator": 321, "reduction_factor": 31, "style": "latex_dfrac", "factor": 31, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{40267}{59563}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{601}{889}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 87, "numerator": 40267, "denominator": 59563, "simplified_numerator": 601, "simplified_denominator": 889, "reduction_factor": 67, "style": "latex_frac", "factor": 67, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{15260}{18655}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{436}{533}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 88, "numerator": 15260, "denominator": 18655, "simplified_numerator": 436, "simplified_denominator": 533, "reduction_factor": 35, "style": "latex_dfrac", "factor": 35, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 16038/18909 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "162/191", "metadata": {"source_dataset": "fraction_simplification", "source_index": 89, "numerator": 16038, "denominator": 18909, "simplified_numerator": 162, "simplified_denominator": 191, "reduction_factor": 99, "style": "plain", "factor": 99, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 8480/22419 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "160/423", "metadata": {"source_dataset": "fraction_simplification", "source_index": 90, "numerator": 8480, "denominator": 22419, "simplified_numerator": 160, "simplified_denominator": 423, "reduction_factor": 53, "style": "plain", "factor": 53, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{2046}{2852}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{33}{46}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 91, "numerator": 2046, "denominator": 2852, "simplified_numerator": 33, "simplified_denominator": 46, "reduction_factor": 62, "style": "latex_frac", "factor": 62, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $1612/1742$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$62/67$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 92, "numerator": 1612, "denominator": 1742, "simplified_numerator": 62, "simplified_denominator": 67, "reduction_factor": 26, "style": "latex_inline", "factor": 26, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{31023}{55566}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{383}{686}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 93, "numerator": 31023, "denominator": 55566, "simplified_numerator": 383, "simplified_denominator": 686, "reduction_factor": 81, "style": "latex_frac", "factor": 81, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 2992/4012 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "44/59", "metadata": {"source_dataset": "fraction_simplification", "source_index": 94, "numerator": 2992, "denominator": 4012, "simplified_numerator": 44, "simplified_denominator": 59, "reduction_factor": 68, "style": "plain", "factor": 68, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{1325}{3286}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{25}{62}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 95, "numerator": 1325, "denominator": 3286, "simplified_numerator": 25, "simplified_denominator": 62, "reduction_factor": 53, "style": "latex_frac", "factor": 53, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{11542}{22736}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{199}{392}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 96, "numerator": 11542, "denominator": 22736, "simplified_numerator": 199, "simplified_denominator": 392, "reduction_factor": 58, "style": "latex_frac", "factor": 58, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{178}{87487}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{2}{983}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 97, "numerator": 178, "denominator": 87487, "simplified_numerator": 2, "simplified_denominator": 983, "reduction_factor": 89, "style": "latex_frac", "factor": 89, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 10283/11609 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "791/893", "metadata": {"source_dataset": "fraction_simplification", "source_index": 98, "numerator": 10283, "denominator": 11609, "simplified_numerator": 791, "simplified_denominator": 893, "reduction_factor": 13, "style": "plain", "factor": 13, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{1060}{1596}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{265}{399}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 99, "numerator": 1060, "denominator": 1596, "simplified_numerator": 265, "simplified_denominator": 399, "reduction_factor": 4, "style": "latex_dfrac", "factor": 4, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{52536}{62480}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{597}{710}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 100, "numerator": 52536, "denominator": 62480, "simplified_numerator": 597, "simplified_denominator": 710, "reduction_factor": 88, "style": "latex_dfrac", "factor": 88, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 1134/5574 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "189/929", "metadata": {"source_dataset": "fraction_simplification", "source_index": 101, "numerator": 1134, "denominator": 5574, "simplified_numerator": 189, "simplified_denominator": 929, "reduction_factor": 6, "style": "plain", "factor": 6, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 2183/27140 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "37/460", "metadata": {"source_dataset": "fraction_simplification", "source_index": 102, "numerator": 2183, "denominator": 27140, "simplified_numerator": 37, "simplified_denominator": 460, "reduction_factor": 59, "style": "plain", "factor": 59, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 10670/12265 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "194/223", "metadata": {"source_dataset": "fraction_simplification", "source_index": 103, "numerator": 10670, "denominator": 12265, "simplified_numerator": 194, "simplified_denominator": 223, "reduction_factor": 55, "style": "plain", "factor": 55, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{10960}{11520}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{137}{144}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 104, "numerator": 10960, "denominator": 11520, "simplified_numerator": 137, "simplified_denominator": 144, "reduction_factor": 80, "style": "latex_frac", "factor": 80, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{6200}{6580}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{310}{329}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 105, "numerator": 6200, "denominator": 6580, "simplified_numerator": 310, "simplified_denominator": 329, "reduction_factor": 20, "style": "latex_dfrac", "factor": 20, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 1886/3280 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "23/40", "metadata": {"source_dataset": "fraction_simplification", "source_index": 106, "numerator": 1886, "denominator": 3280, "simplified_numerator": 23, "simplified_denominator": 40, "reduction_factor": 82, "style": "plain", "factor": 82, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{2409}{3333}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{73}{101}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 107, "numerator": 2409, "denominator": 3333, "simplified_numerator": 73, "simplified_denominator": 101, "reduction_factor": 33, "style": "latex_dfrac", "factor": 33, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $17420/43888$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$335/844$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 108, "numerator": 17420, "denominator": 43888, "simplified_numerator": 335, "simplified_denominator": 844, "reduction_factor": 52, "style": "latex_inline", "factor": 52, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $9660/16652$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$105/181$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 109, "numerator": 9660, "denominator": 16652, "simplified_numerator": 105, "simplified_denominator": 181, "reduction_factor": 92, "style": "latex_inline", "factor": 92, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $32481/62775$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$401/775$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 110, "numerator": 32481, "denominator": 62775, "simplified_numerator": 401, "simplified_denominator": 775, "reduction_factor": 81, "style": "latex_inline", "factor": 81, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{390}{2515}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{78}{503}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 111, "numerator": 390, "denominator": 2515, "simplified_numerator": 78, "simplified_denominator": 503, "reduction_factor": 5, "style": "latex_frac", "factor": 5, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{10241}{41307}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{209}{843}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 112, "numerator": 10241, "denominator": 41307, "simplified_numerator": 209, "simplified_denominator": 843, "reduction_factor": 49, "style": "latex_dfrac", "factor": 49, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{7210}{8330}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{103}{119}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 113, "numerator": 7210, "denominator": 8330, "simplified_numerator": 103, "simplified_denominator": 119, "reduction_factor": 70, "style": "latex_frac", "factor": 70, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $10165/11875$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$107/125$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 114, "numerator": 10165, "denominator": 11875, "simplified_numerator": 107, "simplified_denominator": 125, "reduction_factor": 95, "style": "latex_inline", "factor": 95, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $14587/18183$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$503/627$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 115, "numerator": 14587, "denominator": 18183, "simplified_numerator": 503, "simplified_denominator": 627, "reduction_factor": 29, "style": "latex_inline", "factor": 29, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 20329/28043 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "701/967", "metadata": {"source_dataset": "fraction_simplification", "source_index": 116, "numerator": 20329, "denominator": 28043, "simplified_numerator": 701, "simplified_denominator": 967, "reduction_factor": 29, "style": "plain", "factor": 29, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{15225}{35148}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{175}{404}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 117, "numerator": 15225, "denominator": 35148, "simplified_numerator": 175, "simplified_denominator": 404, "reduction_factor": 87, "style": "latex_dfrac", "factor": 87, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{5544}{22748}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{126}{517}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 118, "numerator": 5544, "denominator": 22748, "simplified_numerator": 126, "simplified_denominator": 517, "reduction_factor": 44, "style": "latex_dfrac", "factor": 44, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $4970/12567$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$70/177$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 119, "numerator": 4970, "denominator": 12567, "simplified_numerator": 70, "simplified_denominator": 177, "reduction_factor": 71, "style": "latex_inline", "factor": 71, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $4455/57267$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$55/707$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 120, "numerator": 4455, "denominator": 57267, "simplified_numerator": 55, "simplified_denominator": 707, "reduction_factor": 81, "style": "latex_inline", "factor": 81, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $32745/37583$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$555/637$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 121, "numerator": 32745, "denominator": 37583, "simplified_numerator": 555, "simplified_denominator": 637, "reduction_factor": 59, "style": "latex_inline", "factor": 59, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{1911}{14820}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{49}{380}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 122, "numerator": 1911, "denominator": 14820, "simplified_numerator": 49, "simplified_denominator": 380, "reduction_factor": 39, "style": "latex_frac", "factor": 39, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{828}{2944}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{9}{32}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 123, "numerator": 828, "denominator": 2944, "simplified_numerator": 9, "simplified_denominator": 32, "reduction_factor": 92, "style": "latex_dfrac", "factor": 92, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{1794}{6318}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{23}{81}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 124, "numerator": 1794, "denominator": 6318, "simplified_numerator": 23, "simplified_denominator": 81, "reduction_factor": 78, "style": "latex_dfrac", "factor": 78, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{2820}{10092}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{235}{841}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 125, "numerator": 2820, "denominator": 10092, "simplified_numerator": 235, "simplified_denominator": 841, "reduction_factor": 12, "style": "latex_frac", "factor": 12, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{3953}{25594}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{59}{382}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 126, "numerator": 3953, "denominator": 25594, "simplified_numerator": 59, "simplified_denominator": 382, "reduction_factor": 67, "style": "latex_frac", "factor": 67, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $20960/42640$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$262/533$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 127, "numerator": 20960, "denominator": 42640, "simplified_numerator": 262, "simplified_denominator": 533, "reduction_factor": 80, "style": "latex_inline", "factor": 80, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{8968}{20444}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{118}{269}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 128, "numerator": 8968, "denominator": 20444, "simplified_numerator": 118, "simplified_denominator": 269, "reduction_factor": 76, "style": "latex_frac", "factor": 76, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{57672}{59328}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{801}{824}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 129, "numerator": 57672, "denominator": 59328, "simplified_numerator": 801, "simplified_denominator": 824, "reduction_factor": 72, "style": "latex_dfrac", "factor": 72, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{5572}{10108}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{199}{361}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 130, "numerator": 5572, "denominator": 10108, "simplified_numerator": 199, "simplified_denominator": 361, "reduction_factor": 28, "style": "latex_frac", "factor": 28, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{28552}{42914}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{332}{499}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 131, "numerator": 28552, "denominator": 42914, "simplified_numerator": 332, "simplified_denominator": 499, "reduction_factor": 86, "style": "latex_frac", "factor": 86, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 285/46968 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "5/824", "metadata": {"source_dataset": "fraction_simplification", "source_index": 132, "numerator": 285, "denominator": 46968, "simplified_numerator": 5, "simplified_denominator": 824, "reduction_factor": 57, "style": "plain", "factor": 57, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $1687/3185$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$241/455$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 133, "numerator": 1687, "denominator": 3185, "simplified_numerator": 241, "simplified_denominator": 455, "reduction_factor": 7, "style": "latex_inline", "factor": 7, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $3069/5643$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$31/57$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 134, "numerator": 3069, "denominator": 5643, "simplified_numerator": 31, "simplified_denominator": 57, "reduction_factor": 99, "style": "latex_inline", "factor": 99, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{7104}{31744}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{111}{496}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 135, "numerator": 7104, "denominator": 31744, "simplified_numerator": 111, "simplified_denominator": 496, "reduction_factor": 64, "style": "latex_dfrac", "factor": 64, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{2088}{17496}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{29}{243}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 136, "numerator": 2088, "denominator": 17496, "simplified_numerator": 29, "simplified_denominator": 243, "reduction_factor": 72, "style": "latex_dfrac", "factor": 72, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 11414/12012 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "439/462", "metadata": {"source_dataset": "fraction_simplification", "source_index": 137, "numerator": 11414, "denominator": 12012, "simplified_numerator": 439, "simplified_denominator": 462, "reduction_factor": 26, "style": "plain", "factor": 26, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 3567/6438 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "41/74", "metadata": {"source_dataset": "fraction_simplification", "source_index": 138, "numerator": 3567, "denominator": 6438, "simplified_numerator": 41, "simplified_denominator": 74, "reduction_factor": 87, "style": "plain", "factor": 87, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 8330/10024 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "595/716", "metadata": {"source_dataset": "fraction_simplification", "source_index": 139, "numerator": 8330, "denominator": 10024, "simplified_numerator": 595, "simplified_denominator": 716, "reduction_factor": 14, "style": "plain", "factor": 14, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $10860/13890$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$362/463$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 140, "numerator": 10860, "denominator": 13890, "simplified_numerator": 362, "simplified_denominator": 463, "reduction_factor": 30, "style": "latex_inline", "factor": 30, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 9024/10656 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "94/111", "metadata": {"source_dataset": "fraction_simplification", "source_index": 141, "numerator": 9024, "denominator": 10656, "simplified_numerator": 94, "simplified_denominator": 111, "reduction_factor": 96, "style": "plain", "factor": 96, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{248}{8773}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{8}{283}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 142, "numerator": 248, "denominator": 8773, "simplified_numerator": 8, "simplified_denominator": 283, "reduction_factor": 31, "style": "latex_frac", "factor": 31, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $13005/13830$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$867/922$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 143, "numerator": 13005, "denominator": 13830, "simplified_numerator": 867, "simplified_denominator": 922, "reduction_factor": 15, "style": "latex_inline", "factor": 15, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{18954}{36558}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{351}{677}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 144, "numerator": 18954, "denominator": 36558, "simplified_numerator": 351, "simplified_denominator": 677, "reduction_factor": 54, "style": "latex_dfrac", "factor": 54, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $7320/17141$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$120/281$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 145, "numerator": 7320, "denominator": 17141, "simplified_numerator": 120, "simplified_denominator": 281, "reduction_factor": 61, "style": "latex_inline", "factor": 61, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{20996}{23461}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{724}{809}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 146, "numerator": 20996, "denominator": 23461, "simplified_numerator": 724, "simplified_denominator": 809, "reduction_factor": 29, "style": "latex_frac", "factor": 29, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{5952}{10080}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{62}{105}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 147, "numerator": 5952, "denominator": 10080, "simplified_numerator": 62, "simplified_denominator": 105, "reduction_factor": 96, "style": "latex_frac", "factor": 96, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{7469}{16781}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{77}{173}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 148, "numerator": 7469, "denominator": 16781, "simplified_numerator": 77, "simplified_denominator": 173, "reduction_factor": 97, "style": "latex_frac", "factor": 97, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $38411/55238$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$541/778$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 149, "numerator": 38411, "denominator": 55238, "simplified_numerator": 541, "simplified_denominator": 778, "reduction_factor": 71, "style": "latex_inline", "factor": 71, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 14937/33267 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "383/853", "metadata": {"source_dataset": "fraction_simplification", "source_index": 150, "numerator": 14937, "denominator": 33267, "simplified_numerator": 383, "simplified_denominator": 853, "reduction_factor": 39, "style": "plain", "factor": 39, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $46354/56448$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$473/576$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 151, "numerator": 46354, "denominator": 56448, "simplified_numerator": 473, "simplified_denominator": 576, "reduction_factor": 98, "style": "latex_inline", "factor": 98, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $5562/7515$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$618/835$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 152, "numerator": 5562, "denominator": 7515, "simplified_numerator": 618, "simplified_denominator": 835, "reduction_factor": 9, "style": "latex_inline", "factor": 9, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $1218/1830$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$203/305$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 153, "numerator": 1218, "denominator": 1830, "simplified_numerator": 203, "simplified_denominator": 305, "reduction_factor": 6, "style": "latex_inline", "factor": 6, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 9568/12236 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "104/133", "metadata": {"source_dataset": "fraction_simplification", "source_index": 154, "numerator": 9568, "denominator": 12236, "simplified_numerator": 104, "simplified_denominator": 133, "reduction_factor": 92, "style": "plain", "factor": 92, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $272/9401$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$16/553$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 155, "numerator": 272, "denominator": 9401, "simplified_numerator": 16, "simplified_denominator": 553, "reduction_factor": 17, "style": "latex_inline", "factor": 17, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{5060}{54004}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{55}{587}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 156, "numerator": 5060, "denominator": 54004, "simplified_numerator": 55, "simplified_denominator": 587, "reduction_factor": 92, "style": "latex_dfrac", "factor": 92, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{18003}{38913}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{353}{763}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 157, "numerator": 18003, "denominator": 38913, "simplified_numerator": 353, "simplified_denominator": 763, "reduction_factor": 51, "style": "latex_frac", "factor": 51, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 1269/24948 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "47/924", "metadata": {"source_dataset": "fraction_simplification", "source_index": 158, "numerator": 1269, "denominator": 24948, "simplified_numerator": 47, "simplified_denominator": 924, "reduction_factor": 27, "style": "plain", "factor": 27, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{966}{10248}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{23}{244}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 159, "numerator": 966, "denominator": 10248, "simplified_numerator": 23, "simplified_denominator": 244, "reduction_factor": 42, "style": "latex_dfrac", "factor": 42, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{32785}{64989}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{395}{783}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 160, "numerator": 32785, "denominator": 64989, "simplified_numerator": 395, "simplified_denominator": 783, "reduction_factor": 83, "style": "latex_dfrac", "factor": 83, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $2772/5859$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$44/93$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 161, "numerator": 2772, "denominator": 5859, "simplified_numerator": 44, "simplified_denominator": 93, "reduction_factor": 63, "style": "latex_inline", "factor": 63, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $4477/9691$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$407/881$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 162, "numerator": 4477, "denominator": 9691, "simplified_numerator": 407, "simplified_denominator": 881, "reduction_factor": 11, "style": "latex_inline", "factor": 11, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 41385/45942 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "445/494", "metadata": {"source_dataset": "fraction_simplification", "source_index": 163, "numerator": 41385, "denominator": 45942, "simplified_numerator": 445, "simplified_denominator": 494, "reduction_factor": 93, "style": "plain", "factor": 93, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $40/360$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$1/9$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 164, "numerator": 40, "denominator": 360, "simplified_numerator": 1, "simplified_denominator": 9, "reduction_factor": 40, "style": "latex_inline", "factor": 40, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $14878/19350$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$173/225$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 165, "numerator": 14878, "denominator": 19350, "simplified_numerator": 173, "simplified_denominator": 225, "reduction_factor": 86, "style": "latex_inline", "factor": 86, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $2600/4900$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$26/49$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 166, "numerator": 2600, "denominator": 4900, "simplified_numerator": 26, "simplified_denominator": 49, "reduction_factor": 100, "style": "latex_inline", "factor": 100, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $1713/2019$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$571/673$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 167, "numerator": 1713, "denominator": 2019, "simplified_numerator": 571, "simplified_denominator": 673, "reduction_factor": 3, "style": "latex_inline", "factor": 3, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{352}{17336}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{4}{197}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 168, "numerator": 352, "denominator": 17336, "simplified_numerator": 4, "simplified_denominator": 197, "reduction_factor": 88, "style": "latex_dfrac", "factor": 88, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $11590/18335$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$122/193$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 169, "numerator": 11590, "denominator": 18335, "simplified_numerator": 122, "simplified_denominator": 193, "reduction_factor": 95, "style": "latex_inline", "factor": 95, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 1218/1872 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "203/312", "metadata": {"source_dataset": "fraction_simplification", "source_index": 170, "numerator": 1218, "denominator": 1872, "simplified_numerator": 203, "simplified_denominator": 312, "reduction_factor": 6, "style": "plain", "factor": 6, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{1508}{4031}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{52}{139}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 171, "numerator": 1508, "denominator": 4031, "simplified_numerator": 52, "simplified_denominator": 139, "reduction_factor": 29, "style": "latex_frac", "factor": 29, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{24380}{34362}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{530}{747}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 172, "numerator": 24380, "denominator": 34362, "simplified_numerator": 530, "simplified_denominator": 747, "reduction_factor": 46, "style": "latex_dfrac", "factor": 46, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 1978/27821 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "46/647", "metadata": {"source_dataset": "fraction_simplification", "source_index": 173, "numerator": 1978, "denominator": 27821, "simplified_numerator": 46, "simplified_denominator": 647, "reduction_factor": 43, "style": "plain", "factor": 43, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $17679/73040$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$213/880$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 174, "numerator": 17679, "denominator": 73040, "simplified_numerator": 213, "simplified_denominator": 880, "reduction_factor": 83, "style": "latex_inline", "factor": 83, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $1519/5084$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$49/164$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 175, "numerator": 1519, "denominator": 5084, "simplified_numerator": 49, "simplified_denominator": 164, "reduction_factor": 31, "style": "latex_inline", "factor": 31, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{672}{1078}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{48}{77}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 176, "numerator": 672, "denominator": 1078, "simplified_numerator": 48, "simplified_denominator": 77, "reduction_factor": 14, "style": "latex_frac", "factor": 14, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 28732/31460 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "653/715", "metadata": {"source_dataset": "fraction_simplification", "source_index": 177, "numerator": 28732, "denominator": 31460, "simplified_numerator": 653, "simplified_denominator": 715, "reduction_factor": 44, "style": "plain", "factor": 44, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $22980/23490$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$766/783$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 178, "numerator": 22980, "denominator": 23490, "simplified_numerator": 766, "simplified_denominator": 783, "reduction_factor": 30, "style": "latex_inline", "factor": 30, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{756}{1308}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{63}{109}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 179, "numerator": 756, "denominator": 1308, "simplified_numerator": 63, "simplified_denominator": 109, "reduction_factor": 12, "style": "latex_dfrac", "factor": 12, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{1147}{8246}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{37}{266}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 180, "numerator": 1147, "denominator": 8246, "simplified_numerator": 37, "simplified_denominator": 266, "reduction_factor": 31, "style": "latex_frac", "factor": 31, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $19437/20919$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$341/367$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 181, "numerator": 19437, "denominator": 20919, "simplified_numerator": 341, "simplified_denominator": 367, "reduction_factor": 57, "style": "latex_inline", "factor": 57, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{1650}{21625}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{66}{865}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 182, "numerator": 1650, "denominator": 21625, "simplified_numerator": 66, "simplified_denominator": 865, "reduction_factor": 25, "style": "latex_dfrac", "factor": 25, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $22227/28613$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$717/923$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 183, "numerator": 22227, "denominator": 28613, "simplified_numerator": 717, "simplified_denominator": 923, "reduction_factor": 31, "style": "latex_inline", "factor": 31, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 2739/41168 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "33/496", "metadata": {"source_dataset": "fraction_simplification", "source_index": 184, "numerator": 2739, "denominator": 41168, "simplified_numerator": 33, "simplified_denominator": 496, "reduction_factor": 83, "style": "plain", "factor": 83, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{35992}{82016}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{409}{932}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 185, "numerator": 35992, "denominator": 82016, "simplified_numerator": 409, "simplified_denominator": 932, "reduction_factor": 88, "style": "latex_frac", "factor": 88, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $11610/14130$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$129/157$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 186, "numerator": 11610, "denominator": 14130, "simplified_numerator": 129, "simplified_denominator": 157, "reduction_factor": 90, "style": "latex_inline", "factor": 90, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{4147}{15718}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{143}{542}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 187, "numerator": 4147, "denominator": 15718, "simplified_numerator": 143, "simplified_denominator": 542, "reduction_factor": 29, "style": "latex_dfrac", "factor": 29, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 3237/14079 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "83/361", "metadata": {"source_dataset": "fraction_simplification", "source_index": 188, "numerator": 3237, "denominator": 14079, "simplified_numerator": 83, "simplified_denominator": 361, "reduction_factor": 39, "style": "plain", "factor": 39, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{391}{14892}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{23}{876}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 189, "numerator": 391, "denominator": 14892, "simplified_numerator": 23, "simplified_denominator": 876, "reduction_factor": 17, "style": "latex_dfrac", "factor": 17, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 3810/8640 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "127/288", "metadata": {"source_dataset": "fraction_simplification", "source_index": 190, "numerator": 3810, "denominator": 8640, "simplified_numerator": 127, "simplified_denominator": 288, "reduction_factor": 30, "style": "plain", "factor": 30, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $18873/22194$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$233/274$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 191, "numerator": 18873, "denominator": 22194, "simplified_numerator": 233, "simplified_denominator": 274, "reduction_factor": 81, "style": "latex_inline", "factor": 81, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{2176}{2808}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{272}{351}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 192, "numerator": 2176, "denominator": 2808, "simplified_numerator": 272, "simplified_denominator": 351, "reduction_factor": 8, "style": "latex_dfrac", "factor": 8, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 23496/49038 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "356/743", "metadata": {"source_dataset": "fraction_simplification", "source_index": 193, "numerator": 23496, "denominator": 49038, "simplified_numerator": 356, "simplified_denominator": 743, "reduction_factor": 66, "style": "plain", "factor": 66, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{2432}{4416}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{38}{69}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 194, "numerator": 2432, "denominator": 4416, "simplified_numerator": 38, "simplified_denominator": 69, "reduction_factor": 64, "style": "latex_frac", "factor": 64, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $11154/14036$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$507/638$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 195, "numerator": 11154, "denominator": 14036, "simplified_numerator": 507, "simplified_denominator": 638, "reduction_factor": 22, "style": "latex_inline", "factor": 22, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{4572}{9780}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{381}{815}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 196, "numerator": 4572, "denominator": 9780, "simplified_numerator": 381, "simplified_denominator": 815, "reduction_factor": 12, "style": "latex_dfrac", "factor": 12, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $11102/17927$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$122/197$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 197, "numerator": 11102, "denominator": 17927, "simplified_numerator": 122, "simplified_denominator": 197, "reduction_factor": 91, "style": "latex_inline", "factor": 91, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 5056/7080 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "632/885", "metadata": {"source_dataset": "fraction_simplification", "source_index": 198, "numerator": 5056, "denominator": 7080, "simplified_numerator": 632, "simplified_denominator": 885, "reduction_factor": 8, "style": "plain", "factor": 8, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 53059/68385 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "547/705", "metadata": {"source_dataset": "fraction_simplification", "source_index": 199, "numerator": 53059, "denominator": 68385, "simplified_numerator": 547, "simplified_denominator": 705, "reduction_factor": 97, "style": "plain", "factor": 97, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{1856}{22016}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{29}{344}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 200, "numerator": 1856, "denominator": 22016, "simplified_numerator": 29, "simplified_denominator": 344, "reduction_factor": 64, "style": "latex_dfrac", "factor": 64, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{3157}{5371}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{77}{131}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 201, "numerator": 3157, "denominator": 5371, "simplified_numerator": 77, "simplified_denominator": 131, "reduction_factor": 41, "style": "latex_dfrac", "factor": 41, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{67760}{85272}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{770}{969}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 202, "numerator": 67760, "denominator": 85272, "simplified_numerator": 770, "simplified_denominator": 969, "reduction_factor": 88, "style": "latex_dfrac", "factor": 88, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 7869/17995 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "129/295", "metadata": {"source_dataset": "fraction_simplification", "source_index": 203, "numerator": 7869, "denominator": 17995, "simplified_numerator": 129, "simplified_denominator": 295, "reduction_factor": 61, "style": "plain", "factor": 61, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{2077}{31825}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{31}{475}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 204, "numerator": 2077, "denominator": 31825, "simplified_numerator": 31, "simplified_denominator": 475, "reduction_factor": 67, "style": "latex_dfrac", "factor": 67, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{1041}{1410}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{347}{470}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 205, "numerator": 1041, "denominator": 1410, "simplified_numerator": 347, "simplified_denominator": 470, "reduction_factor": 3, "style": "latex_frac", "factor": 3, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{39618}{79701}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{426}{857}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 206, "numerator": 39618, "denominator": 79701, "simplified_numerator": 426, "simplified_denominator": 857, "reduction_factor": 93, "style": "latex_dfrac", "factor": 93, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{21684}{46566}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{278}{597}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 207, "numerator": 21684, "denominator": 46566, "simplified_numerator": 278, "simplified_denominator": 597, "reduction_factor": 78, "style": "latex_frac", "factor": 78, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 8337/8652 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "397/412", "metadata": {"source_dataset": "fraction_simplification", "source_index": 208, "numerator": 8337, "denominator": 8652, "simplified_numerator": 397, "simplified_denominator": 412, "reduction_factor": 21, "style": "plain", "factor": 21, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{5586}{8281}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{114}{169}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 209, "numerator": 5586, "denominator": 8281, "simplified_numerator": 114, "simplified_denominator": 169, "reduction_factor": 49, "style": "latex_dfrac", "factor": 49, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{1911}{2388}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{637}{796}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 210, "numerator": 1911, "denominator": 2388, "simplified_numerator": 637, "simplified_denominator": 796, "reduction_factor": 3, "style": "latex_frac", "factor": 3, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{26705}{27048}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{545}{552}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 211, "numerator": 26705, "denominator": 27048, "simplified_numerator": 545, "simplified_denominator": 552, "reduction_factor": 49, "style": "latex_dfrac", "factor": 49, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{6336}{8481}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{192}{257}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 212, "numerator": 6336, "denominator": 8481, "simplified_numerator": 192, "simplified_denominator": 257, "reduction_factor": 33, "style": "latex_dfrac", "factor": 33, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 1558/9102 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "19/111", "metadata": {"source_dataset": "fraction_simplification", "source_index": 213, "numerator": 1558, "denominator": 9102, "simplified_numerator": 19, "simplified_denominator": 111, "reduction_factor": 82, "style": "plain", "factor": 82, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{5936}{9352}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{106}{167}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 214, "numerator": 5936, "denominator": 9352, "simplified_numerator": 106, "simplified_denominator": 167, "reduction_factor": 56, "style": "latex_frac", "factor": 56, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{4225}{5486}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{325}{422}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 215, "numerator": 4225, "denominator": 5486, "simplified_numerator": 325, "simplified_denominator": 422, "reduction_factor": 13, "style": "latex_frac", "factor": 13, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $3350/4410$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$335/441$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 216, "numerator": 3350, "denominator": 4410, "simplified_numerator": 335, "simplified_denominator": 441, "reduction_factor": 10, "style": "latex_inline", "factor": 10, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 2911/58504 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "41/824", "metadata": {"source_dataset": "fraction_simplification", "source_index": 217, "numerator": 2911, "denominator": 58504, "simplified_numerator": 41, "simplified_denominator": 824, "reduction_factor": 71, "style": "plain", "factor": 71, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{1961}{5724}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{37}{108}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 218, "numerator": 1961, "denominator": 5724, "simplified_numerator": 37, "simplified_denominator": 108, "reduction_factor": 53, "style": "latex_dfrac", "factor": 53, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 184/2553 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "8/111", "metadata": {"source_dataset": "fraction_simplification", "source_index": 219, "numerator": 184, "denominator": 2553, "simplified_numerator": 8, "simplified_denominator": 111, "reduction_factor": 23, "style": "plain", "factor": 23, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{7383}{17802}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{107}{258}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 220, "numerator": 7383, "denominator": 17802, "simplified_numerator": 107, "simplified_denominator": 258, "reduction_factor": 69, "style": "latex_dfrac", "factor": 69, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{73720}{88173}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{760}{909}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 221, "numerator": 73720, "denominator": 88173, "simplified_numerator": 760, "simplified_denominator": 909, "reduction_factor": 97, "style": "latex_dfrac", "factor": 97, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{4263}{5307}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{49}{61}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 222, "numerator": 4263, "denominator": 5307, "simplified_numerator": 49, "simplified_denominator": 61, "reduction_factor": 87, "style": "latex_frac", "factor": 87, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{24924}{51398}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{402}{829}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 223, "numerator": 24924, "denominator": 51398, "simplified_numerator": 402, "simplified_denominator": 829, "reduction_factor": 62, "style": "latex_frac", "factor": 62, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 280/3850 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "4/55", "metadata": {"source_dataset": "fraction_simplification", "source_index": 224, "numerator": 280, "denominator": 3850, "simplified_numerator": 4, "simplified_denominator": 55, "reduction_factor": 70, "style": "plain", "factor": 70, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{1311}{11571}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{23}{203}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 225, "numerator": 1311, "denominator": 11571, "simplified_numerator": 23, "simplified_denominator": 203, "reduction_factor": 57, "style": "latex_frac", "factor": 57, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{26703}{31533}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{387}{457}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 226, "numerator": 26703, "denominator": 31533, "simplified_numerator": 387, "simplified_denominator": 457, "reduction_factor": 69, "style": "latex_frac", "factor": 69, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{243}{369}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{27}{41}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 227, "numerator": 243, "denominator": 369, "simplified_numerator": 27, "simplified_denominator": 41, "reduction_factor": 9, "style": "latex_frac", "factor": 9, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 2116/9982 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "46/217", "metadata": {"source_dataset": "fraction_simplification", "source_index": 228, "numerator": 2116, "denominator": 9982, "simplified_numerator": 46, "simplified_denominator": 217, "reduction_factor": 46, "style": "plain", "factor": 46, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{22816}{30866}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{496}{671}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 229, "numerator": 22816, "denominator": 30866, "simplified_numerator": 496, "simplified_denominator": 671, "reduction_factor": 46, "style": "latex_frac", "factor": 46, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{3312}{4401}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{368}{489}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 230, "numerator": 3312, "denominator": 4401, "simplified_numerator": 368, "simplified_denominator": 489, "reduction_factor": 9, "style": "latex_dfrac", "factor": 9, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $16154/55924$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$197/682$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 231, "numerator": 16154, "denominator": 55924, "simplified_numerator": 197, "simplified_denominator": 682, "reduction_factor": 82, "style": "latex_inline", "factor": 82, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{3552}{11280}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{74}{235}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 232, "numerator": 3552, "denominator": 11280, "simplified_numerator": 74, "simplified_denominator": 235, "reduction_factor": 48, "style": "latex_dfrac", "factor": 48, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{6224}{6688}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{389}{418}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 233, "numerator": 6224, "denominator": 6688, "simplified_numerator": 389, "simplified_denominator": 418, "reduction_factor": 16, "style": "latex_frac", "factor": 16, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{936}{4966}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{36}{191}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 234, "numerator": 936, "denominator": 4966, "simplified_numerator": 36, "simplified_denominator": 191, "reduction_factor": 26, "style": "latex_frac", "factor": 26, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $552/5544$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$23/231$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 235, "numerator": 552, "denominator": 5544, "simplified_numerator": 23, "simplified_denominator": 231, "reduction_factor": 24, "style": "latex_inline", "factor": 24, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{19264}{59456}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{301}{929}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 236, "numerator": 19264, "denominator": 59456, "simplified_numerator": 301, "simplified_denominator": 929, "reduction_factor": 64, "style": "latex_frac", "factor": 64, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{2548}{2947}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{364}{421}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 237, "numerator": 2548, "denominator": 2947, "simplified_numerator": 364, "simplified_denominator": 421, "reduction_factor": 7, "style": "latex_dfrac", "factor": 7, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 8904/12852 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "106/153", "metadata": {"source_dataset": "fraction_simplification", "source_index": 238, "numerator": 8904, "denominator": 12852, "simplified_numerator": 106, "simplified_denominator": 153, "reduction_factor": 84, "style": "plain", "factor": 84, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 693/10362 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "21/314", "metadata": {"source_dataset": "fraction_simplification", "source_index": 239, "numerator": 693, "denominator": 10362, "simplified_numerator": 21, "simplified_denominator": 314, "reduction_factor": 33, "style": "plain", "factor": 33, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{3526}{59168}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{41}{688}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 240, "numerator": 3526, "denominator": 59168, "simplified_numerator": 41, "simplified_denominator": 688, "reduction_factor": 86, "style": "latex_dfrac", "factor": 86, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{396}{13374}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{22}{743}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 241, "numerator": 396, "denominator": 13374, "simplified_numerator": 22, "simplified_denominator": 743, "reduction_factor": 18, "style": "latex_frac", "factor": 18, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{1224}{30276}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{34}{841}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 242, "numerator": 1224, "denominator": 30276, "simplified_numerator": 34, "simplified_denominator": 841, "reduction_factor": 36, "style": "latex_frac", "factor": 36, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{850}{1750}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{17}{35}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 243, "numerator": 850, "denominator": 1750, "simplified_numerator": 17, "simplified_denominator": 35, "reduction_factor": 50, "style": "latex_dfrac", "factor": 50, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 1025/6888 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "25/168", "metadata": {"source_dataset": "fraction_simplification", "source_index": 244, "numerator": 1025, "denominator": 6888, "simplified_numerator": 25, "simplified_denominator": 168, "reduction_factor": 41, "style": "plain", "factor": 41, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{533}{11685}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{13}{285}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 245, "numerator": 533, "denominator": 11685, "simplified_numerator": 13, "simplified_denominator": 285, "reduction_factor": 41, "style": "latex_frac", "factor": 41, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{16243}{17723}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{439}{479}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 246, "numerator": 16243, "denominator": 17723, "simplified_numerator": 439, "simplified_denominator": 479, "reduction_factor": 37, "style": "latex_dfrac", "factor": 37, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $26915/30450$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$769/870$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 247, "numerator": 26915, "denominator": 30450, "simplified_numerator": 769, "simplified_denominator": 870, "reduction_factor": 35, "style": "latex_inline", "factor": 35, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{24464}{42460}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{556}{965}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 248, "numerator": 24464, "denominator": 42460, "simplified_numerator": 556, "simplified_denominator": 965, "reduction_factor": 44, "style": "latex_dfrac", "factor": 44, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 9118/12690 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "97/135", "metadata": {"source_dataset": "fraction_simplification", "source_index": 249, "numerator": 9118, "denominator": 12690, "simplified_numerator": 97, "simplified_denominator": 135, "reduction_factor": 94, "style": "plain", "factor": 94, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{14602}{77126}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{149}{787}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 250, "numerator": 14602, "denominator": 77126, "simplified_numerator": 149, "simplified_denominator": 787, "reduction_factor": 98, "style": "latex_frac", "factor": 98, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $7215/7350$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$481/490$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 251, "numerator": 7215, "denominator": 7350, "simplified_numerator": 481, "simplified_denominator": 490, "reduction_factor": 15, "style": "latex_inline", "factor": 15, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $2170/11222$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$35/181$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 252, "numerator": 2170, "denominator": 11222, "simplified_numerator": 35, "simplified_denominator": 181, "reduction_factor": 62, "style": "latex_inline", "factor": 62, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{31524}{32671}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{852}{883}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 253, "numerator": 31524, "denominator": 32671, "simplified_numerator": 852, "simplified_denominator": 883, "reduction_factor": 37, "style": "latex_dfrac", "factor": 37, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{2475}{31944}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{75}{968}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 254, "numerator": 2475, "denominator": 31944, "simplified_numerator": 75, "simplified_denominator": 968, "reduction_factor": 33, "style": "latex_frac", "factor": 33, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{36192}{51744}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{377}{539}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 255, "numerator": 36192, "denominator": 51744, "simplified_numerator": 377, "simplified_denominator": 539, "reduction_factor": 96, "style": "latex_dfrac", "factor": 96, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $17513/47144$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$211/568$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 256, "numerator": 17513, "denominator": 47144, "simplified_numerator": 211, "simplified_denominator": 568, "reduction_factor": 83, "style": "latex_inline", "factor": 83, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $34689/56358$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$373/606$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 257, "numerator": 34689, "denominator": 56358, "simplified_numerator": 373, "simplified_denominator": 606, "reduction_factor": 93, "style": "latex_inline", "factor": 93, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 16425/27585 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "365/613", "metadata": {"source_dataset": "fraction_simplification", "source_index": 258, "numerator": 16425, "denominator": 27585, "simplified_numerator": 365, "simplified_denominator": 613, "reduction_factor": 45, "style": "plain", "factor": 45, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{26176}{41088}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{409}{642}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 259, "numerator": 26176, "denominator": 41088, "simplified_numerator": 409, "simplified_denominator": 642, "reduction_factor": 64, "style": "latex_dfrac", "factor": 64, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{39399}{68241}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{571}{989}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 260, "numerator": 39399, "denominator": 68241, "simplified_numerator": 571, "simplified_denominator": 989, "reduction_factor": 69, "style": "latex_dfrac", "factor": 69, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $1045/7790$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$11/82$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 261, "numerator": 1045, "denominator": 7790, "simplified_numerator": 11, "simplified_denominator": 82, "reduction_factor": 95, "style": "latex_inline", "factor": 95, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{2530}{3905}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{46}{71}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 262, "numerator": 2530, "denominator": 3905, "simplified_numerator": 46, "simplified_denominator": 71, "reduction_factor": 55, "style": "latex_dfrac", "factor": 55, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{13651}{42997}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{187}{589}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 263, "numerator": 13651, "denominator": 42997, "simplified_numerator": 187, "simplified_denominator": 589, "reduction_factor": 73, "style": "latex_dfrac", "factor": 73, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $9996/21284$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$147/313$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 264, "numerator": 9996, "denominator": 21284, "simplified_numerator": 147, "simplified_denominator": 313, "reduction_factor": 68, "style": "latex_inline", "factor": 68, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{20397}{25506}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{523}{654}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 265, "numerator": 20397, "denominator": 25506, "simplified_numerator": 523, "simplified_denominator": 654, "reduction_factor": 39, "style": "latex_frac", "factor": 39, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{988}{1248}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{19}{24}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 266, "numerator": 988, "denominator": 1248, "simplified_numerator": 19, "simplified_denominator": 24, "reduction_factor": 52, "style": "latex_frac", "factor": 52, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $13/61$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$13/61$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 267, "numerator": 13, "denominator": 61, "simplified_numerator": 13, "simplified_denominator": 61, "reduction_factor": 1, "style": "latex_inline", "factor": 1, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{350}{2825}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{14}{113}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 268, "numerator": 350, "denominator": 2825, "simplified_numerator": 14, "simplified_denominator": 113, "reduction_factor": 25, "style": "latex_frac", "factor": 25, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 8943/27753 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "271/841", "metadata": {"source_dataset": "fraction_simplification", "source_index": 269, "numerator": 8943, "denominator": 27753, "simplified_numerator": 271, "simplified_denominator": 841, "reduction_factor": 33, "style": "plain", "factor": 33, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{12665}{56610}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{149}{666}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 270, "numerator": 12665, "denominator": 56610, "simplified_numerator": 149, "simplified_denominator": 666, "reduction_factor": 85, "style": "latex_dfrac", "factor": 85, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{4816}{16598}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{56}{193}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 271, "numerator": 4816, "denominator": 16598, "simplified_numerator": 56, "simplified_denominator": 193, "reduction_factor": 86, "style": "latex_dfrac", "factor": 86, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $1515/3510$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$101/234$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 272, "numerator": 1515, "denominator": 3510, "simplified_numerator": 101, "simplified_denominator": 234, "reduction_factor": 15, "style": "latex_inline", "factor": 15, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{22260}{37577}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{420}{709}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 273, "numerator": 22260, "denominator": 37577, "simplified_numerator": 420, "simplified_denominator": 709, "reduction_factor": 53, "style": "latex_frac", "factor": 53, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{4}{118}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{2}{59}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 274, "numerator": 4, "denominator": 118, "simplified_numerator": 2, "simplified_denominator": 59, "reduction_factor": 2, "style": "latex_frac", "factor": 2, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{637}{14378}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{7}{158}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 275, "numerator": 637, "denominator": 14378, "simplified_numerator": 7, "simplified_denominator": 158, "reduction_factor": 91, "style": "latex_dfrac", "factor": 91, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{2345}{2506}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{335}{358}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 276, "numerator": 2345, "denominator": 2506, "simplified_numerator": 335, "simplified_denominator": 358, "reduction_factor": 7, "style": "latex_dfrac", "factor": 7, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{1098}{5550}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{183}{925}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 277, "numerator": 1098, "denominator": 5550, "simplified_numerator": 183, "simplified_denominator": 925, "reduction_factor": 6, "style": "latex_dfrac", "factor": 6, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 37017/42363 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "457/523", "metadata": {"source_dataset": "fraction_simplification", "source_index": 278, "numerator": 37017, "denominator": 42363, "simplified_numerator": 457, "simplified_denominator": 523, "reduction_factor": 81, "style": "plain", "factor": 81, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{4811}{6817}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{283}{401}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 279, "numerator": 4811, "denominator": 6817, "simplified_numerator": 283, "simplified_denominator": 401, "reduction_factor": 17, "style": "latex_frac", "factor": 17, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{72700}{89500}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{727}{895}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 280, "numerator": 72700, "denominator": 89500, "simplified_numerator": 727, "simplified_denominator": 895, "reduction_factor": 100, "style": "latex_dfrac", "factor": 100, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 69843/85281 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "751/917", "metadata": {"source_dataset": "fraction_simplification", "source_index": 281, "numerator": 69843, "denominator": 85281, "simplified_numerator": 751, "simplified_denominator": 917, "reduction_factor": 93, "style": "plain", "factor": 93, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{15916}{55660}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{173}{605}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 282, "numerator": 15916, "denominator": 55660, "simplified_numerator": 173, "simplified_denominator": 605, "reduction_factor": 92, "style": "latex_dfrac", "factor": 92, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 4794/7429 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "282/437", "metadata": {"source_dataset": "fraction_simplification", "source_index": 283, "numerator": 4794, "denominator": 7429, "simplified_numerator": 282, "simplified_denominator": 437, "reduction_factor": 17, "style": "plain", "factor": 17, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 4280/19400 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "107/485", "metadata": {"source_dataset": "fraction_simplification", "source_index": 284, "numerator": 4280, "denominator": 19400, "simplified_numerator": 107, "simplified_denominator": 485, "reduction_factor": 40, "style": "plain", "factor": 40, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{4087}{59228}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{61}{884}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 285, "numerator": 4087, "denominator": 59228, "simplified_numerator": 61, "simplified_denominator": 884, "reduction_factor": 67, "style": "latex_dfrac", "factor": 67, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{49955}{63826}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{515}{658}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 286, "numerator": 49955, "denominator": 63826, "simplified_numerator": 515, "simplified_denominator": 658, "reduction_factor": 97, "style": "latex_frac", "factor": 97, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{9760}{17000}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{244}{425}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 287, "numerator": 9760, "denominator": 17000, "simplified_numerator": 244, "simplified_denominator": 425, "reduction_factor": 40, "style": "latex_frac", "factor": 40, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 38240/38960 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "478/487", "metadata": {"source_dataset": "fraction_simplification", "source_index": 288, "numerator": 38240, "denominator": 38960, "simplified_numerator": 478, "simplified_denominator": 487, "reduction_factor": 80, "style": "plain", "factor": 80, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $15750/17976$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$375/428$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 289, "numerator": 15750, "denominator": 17976, "simplified_numerator": 375, "simplified_denominator": 428, "reduction_factor": 42, "style": "latex_inline", "factor": 42, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{5780}{12104}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{85}{178}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 290, "numerator": 5780, "denominator": 12104, "simplified_numerator": 85, "simplified_denominator": 178, "reduction_factor": 68, "style": "latex_dfrac", "factor": 68, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $16560/26174$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$360/569$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 291, "numerator": 16560, "denominator": 26174, "simplified_numerator": 360, "simplified_denominator": 569, "reduction_factor": 46, "style": "latex_inline", "factor": 46, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{18216}{68184}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{253}{947}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 292, "numerator": 18216, "denominator": 68184, "simplified_numerator": 253, "simplified_denominator": 947, "reduction_factor": 72, "style": "latex_dfrac", "factor": 72, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{99}{14751}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{1}{149}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 293, "numerator": 99, "denominator": 14751, "simplified_numerator": 1, "simplified_denominator": 149, "reduction_factor": 99, "style": "latex_dfrac", "factor": 99, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $672/76224$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$7/794$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 294, "numerator": 672, "denominator": 76224, "simplified_numerator": 7, "simplified_denominator": 794, "reduction_factor": 96, "style": "latex_inline", "factor": 96, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{13869}{34304}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{207}{512}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 295, "numerator": 13869, "denominator": 34304, "simplified_numerator": 207, "simplified_denominator": 512, "reduction_factor": 67, "style": "latex_frac", "factor": 67, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{4068}{15228}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{113}{423}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 296, "numerator": 4068, "denominator": 15228, "simplified_numerator": 113, "simplified_denominator": 423, "reduction_factor": 36, "style": "latex_dfrac", "factor": 36, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $11890/70028$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$145/854$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 297, "numerator": 11890, "denominator": 70028, "simplified_numerator": 145, "simplified_denominator": 854, "reduction_factor": 82, "style": "latex_inline", "factor": 82, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 5330/7657 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "410/589", "metadata": {"source_dataset": "fraction_simplification", "source_index": 298, "numerator": 5330, "denominator": 7657, "simplified_numerator": 410, "simplified_denominator": 589, "reduction_factor": 13, "style": "plain", "factor": 13, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $22265/43581$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$305/597$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 299, "numerator": 22265, "denominator": 43581, "simplified_numerator": 305, "simplified_denominator": 597, "reduction_factor": 73, "style": "latex_inline", "factor": 73, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 9300/16125 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "124/215", "metadata": {"source_dataset": "fraction_simplification", "source_index": 300, "numerator": 9300, "denominator": 16125, "simplified_numerator": 124, "simplified_denominator": 215, "reduction_factor": 75, "style": "plain", "factor": 75, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $18914/50176$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$193/512$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 301, "numerator": 18914, "denominator": 50176, "simplified_numerator": 193, "simplified_denominator": 512, "reduction_factor": 98, "style": "latex_inline", "factor": 98, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{2702}{2758}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{193}{197}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 302, "numerator": 2702, "denominator": 2758, "simplified_numerator": 193, "simplified_denominator": 197, "reduction_factor": 14, "style": "latex_frac", "factor": 14, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $146/395$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$146/395$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 303, "numerator": 146, "denominator": 395, "simplified_numerator": 146, "simplified_denominator": 395, "reduction_factor": 1, "style": "latex_inline", "factor": 1, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 15366/44772 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "197/574", "metadata": {"source_dataset": "fraction_simplification", "source_index": 304, "numerator": 15366, "denominator": 44772, "simplified_numerator": 197, "simplified_denominator": 574, "reduction_factor": 78, "style": "plain", "factor": 78, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{21899}{37454}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{359}{614}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 305, "numerator": 21899, "denominator": 37454, "simplified_numerator": 359, "simplified_denominator": 614, "reduction_factor": 61, "style": "latex_frac", "factor": 61, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $10791/29502$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$109/298$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 306, "numerator": 10791, "denominator": 29502, "simplified_numerator": 109, "simplified_denominator": 298, "reduction_factor": 99, "style": "latex_inline", "factor": 99, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{4620}{5665}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{84}{103}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 307, "numerator": 4620, "denominator": 5665, "simplified_numerator": 84, "simplified_denominator": 103, "reduction_factor": 55, "style": "latex_frac", "factor": 55, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{744}{1824}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{31}{76}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 308, "numerator": 744, "denominator": 1824, "simplified_numerator": 31, "simplified_denominator": 76, "reduction_factor": 24, "style": "latex_dfrac", "factor": 24, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{46250}{65046}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{625}{879}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 309, "numerator": 46250, "denominator": 65046, "simplified_numerator": 625, "simplified_denominator": 879, "reduction_factor": 74, "style": "latex_frac", "factor": 74, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 2774/8645 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "146/455", "metadata": {"source_dataset": "fraction_simplification", "source_index": 310, "numerator": 2774, "denominator": 8645, "simplified_numerator": 146, "simplified_denominator": 455, "reduction_factor": 19, "style": "plain", "factor": 19, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 4459/4900 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "91/100", "metadata": {"source_dataset": "fraction_simplification", "source_index": 311, "numerator": 4459, "denominator": 4900, "simplified_numerator": 91, "simplified_denominator": 100, "reduction_factor": 49, "style": "plain", "factor": 49, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 2436/2640 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "203/220", "metadata": {"source_dataset": "fraction_simplification", "source_index": 312, "numerator": 2436, "denominator": 2640, "simplified_numerator": 203, "simplified_denominator": 220, "reduction_factor": 12, "style": "plain", "factor": 12, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{9006}{12877}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{114}{163}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 313, "numerator": 9006, "denominator": 12877, "simplified_numerator": 114, "simplified_denominator": 163, "reduction_factor": 79, "style": "latex_dfrac", "factor": 79, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{2623}{40626}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{43}{666}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 314, "numerator": 2623, "denominator": 40626, "simplified_numerator": 43, "simplified_denominator": 666, "reduction_factor": 61, "style": "latex_frac", "factor": 61, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 17010/34470 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "189/383", "metadata": {"source_dataset": "fraction_simplification", "source_index": 315, "numerator": 17010, "denominator": 34470, "simplified_numerator": 189, "simplified_denominator": 383, "reduction_factor": 90, "style": "plain", "factor": 90, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{3321}{10584}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{123}{392}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 316, "numerator": 3321, "denominator": 10584, "simplified_numerator": 123, "simplified_denominator": 392, "reduction_factor": 27, "style": "latex_dfrac", "factor": 27, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{6240}{63635}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{96}{979}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 317, "numerator": 6240, "denominator": 63635, "simplified_numerator": 96, "simplified_denominator": 979, "reduction_factor": 65, "style": "latex_dfrac", "factor": 65, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $3160/12560$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$79/314$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 318, "numerator": 3160, "denominator": 12560, "simplified_numerator": 79, "simplified_denominator": 314, "reduction_factor": 40, "style": "latex_inline", "factor": 40, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{10727}{15895}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{631}{935}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 319, "numerator": 10727, "denominator": 15895, "simplified_numerator": 631, "simplified_denominator": 935, "reduction_factor": 17, "style": "latex_dfrac", "factor": 17, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{26724}{33728}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{393}{496}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 320, "numerator": 26724, "denominator": 33728, "simplified_numerator": 393, "simplified_denominator": 496, "reduction_factor": 68, "style": "latex_frac", "factor": 68, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $35/160$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$7/32$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 321, "numerator": 35, "denominator": 160, "simplified_numerator": 7, "simplified_denominator": 32, "reduction_factor": 5, "style": "latex_inline", "factor": 5, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{36}{9636}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{3}{803}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 322, "numerator": 36, "denominator": 9636, "simplified_numerator": 3, "simplified_denominator": 803, "reduction_factor": 12, "style": "latex_dfrac", "factor": 12, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $26390/63063$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$290/693$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 323, "numerator": 26390, "denominator": 63063, "simplified_numerator": 290, "simplified_denominator": 693, "reduction_factor": 91, "style": "latex_inline", "factor": 91, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 6603/46500 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "71/500", "metadata": {"source_dataset": "fraction_simplification", "source_index": 324, "numerator": 6603, "denominator": 46500, "simplified_numerator": 71, "simplified_denominator": 500, "reduction_factor": 93, "style": "plain", "factor": 93, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{816}{21964}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{12}{323}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 325, "numerator": 816, "denominator": 21964, "simplified_numerator": 12, "simplified_denominator": 323, "reduction_factor": 68, "style": "latex_dfrac", "factor": 68, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 36675/67425 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "489/899", "metadata": {"source_dataset": "fraction_simplification", "source_index": 326, "numerator": 36675, "denominator": 67425, "simplified_numerator": 489, "simplified_denominator": 899, "reduction_factor": 75, "style": "plain", "factor": 75, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{37600}{78900}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{376}{789}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 327, "numerator": 37600, "denominator": 78900, "simplified_numerator": 376, "simplified_denominator": 789, "reduction_factor": 100, "style": "latex_frac", "factor": 100, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{6336}{31779}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{64}{321}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 328, "numerator": 6336, "denominator": 31779, "simplified_numerator": 64, "simplified_denominator": 321, "reduction_factor": 99, "style": "latex_frac", "factor": 99, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{17226}{33156}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{319}{614}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 329, "numerator": 17226, "denominator": 33156, "simplified_numerator": 319, "simplified_denominator": 614, "reduction_factor": 54, "style": "latex_dfrac", "factor": 54, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{11616}{69600}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{121}{725}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 330, "numerator": 11616, "denominator": 69600, "simplified_numerator": 121, "simplified_denominator": 725, "reduction_factor": 96, "style": "latex_frac", "factor": 96, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 595/2040 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "7/24", "metadata": {"source_dataset": "fraction_simplification", "source_index": 331, "numerator": 595, "denominator": 2040, "simplified_numerator": 7, "simplified_denominator": 24, "reduction_factor": 85, "style": "plain", "factor": 85, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $736/1564$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$8/17$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 332, "numerator": 736, "denominator": 1564, "simplified_numerator": 8, "simplified_denominator": 17, "reduction_factor": 92, "style": "latex_inline", "factor": 92, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{3840}{5984}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{120}{187}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 333, "numerator": 3840, "denominator": 5984, "simplified_numerator": 120, "simplified_denominator": 187, "reduction_factor": 32, "style": "latex_dfrac", "factor": 32, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{64077}{69657}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{689}{749}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 334, "numerator": 64077, "denominator": 69657, "simplified_numerator": 689, "simplified_denominator": 749, "reduction_factor": 93, "style": "latex_dfrac", "factor": 93, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $3211/6695$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$247/515$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 335, "numerator": 3211, "denominator": 6695, "simplified_numerator": 247, "simplified_denominator": 515, "reduction_factor": 13, "style": "latex_inline", "factor": 13, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{728}{9009}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{8}{99}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 336, "numerator": 728, "denominator": 9009, "simplified_numerator": 8, "simplified_denominator": 99, "reduction_factor": 91, "style": "latex_dfrac", "factor": 91, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{2208}{13869}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{32}{201}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 337, "numerator": 2208, "denominator": 13869, "simplified_numerator": 32, "simplified_denominator": 201, "reduction_factor": 69, "style": "latex_frac", "factor": 69, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{5848}{40635}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{136}{945}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 338, "numerator": 5848, "denominator": 40635, "simplified_numerator": 136, "simplified_denominator": 945, "reduction_factor": 43, "style": "latex_dfrac", "factor": 43, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 35742/36334 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "483/491", "metadata": {"source_dataset": "fraction_simplification", "source_index": 339, "numerator": 35742, "denominator": 36334, "simplified_numerator": 483, "simplified_denominator": 491, "reduction_factor": 74, "style": "plain", "factor": 74, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{1062}{4878}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{59}{271}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 340, "numerator": 1062, "denominator": 4878, "simplified_numerator": 59, "simplified_denominator": 271, "reduction_factor": 18, "style": "latex_frac", "factor": 18, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{35972}{60112}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{529}{884}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 341, "numerator": 35972, "denominator": 60112, "simplified_numerator": 529, "simplified_denominator": 884, "reduction_factor": 68, "style": "latex_dfrac", "factor": 68, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 2750/3600 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "55/72", "metadata": {"source_dataset": "fraction_simplification", "source_index": 342, "numerator": 2750, "denominator": 3600, "simplified_numerator": 55, "simplified_denominator": 72, "reduction_factor": 50, "style": "plain", "factor": 50, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{4288}{60672}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{67}{948}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 343, "numerator": 4288, "denominator": 60672, "simplified_numerator": 67, "simplified_denominator": 948, "reduction_factor": 64, "style": "latex_dfrac", "factor": 64, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{27234}{56693}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{306}{637}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 344, "numerator": 27234, "denominator": 56693, "simplified_numerator": 306, "simplified_denominator": 637, "reduction_factor": 89, "style": "latex_dfrac", "factor": 89, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $114/246$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$19/41$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 345, "numerator": 114, "denominator": 246, "simplified_numerator": 19, "simplified_denominator": 41, "reduction_factor": 6, "style": "latex_inline", "factor": 6, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{39504}{45360}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{823}{945}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 346, "numerator": 39504, "denominator": 45360, "simplified_numerator": 823, "simplified_denominator": 945, "reduction_factor": 48, "style": "latex_frac", "factor": 48, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{30084}{31510}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{654}{685}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 347, "numerator": 30084, "denominator": 31510, "simplified_numerator": 654, "simplified_denominator": 685, "reduction_factor": 46, "style": "latex_dfrac", "factor": 46, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{6972}{7200}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{581}{600}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 348, "numerator": 6972, "denominator": 7200, "simplified_numerator": 581, "simplified_denominator": 600, "reduction_factor": 12, "style": "latex_dfrac", "factor": 12, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $16008/46460$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$174/505$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 349, "numerator": 16008, "denominator": 46460, "simplified_numerator": 174, "simplified_denominator": 505, "reduction_factor": 92, "style": "latex_inline", "factor": 92, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{37229}{55519}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{631}{941}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 350, "numerator": 37229, "denominator": 55519, "simplified_numerator": 631, "simplified_denominator": 941, "reduction_factor": 59, "style": "latex_dfrac", "factor": 59, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 7106/8426 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "323/383", "metadata": {"source_dataset": "fraction_simplification", "source_index": 351, "numerator": 7106, "denominator": 8426, "simplified_numerator": 323, "simplified_denominator": 383, "reduction_factor": 22, "style": "plain", "factor": 22, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $11025/11385$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$245/253$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 352, "numerator": 11025, "denominator": 11385, "simplified_numerator": 245, "simplified_denominator": 253, "reduction_factor": 45, "style": "latex_inline", "factor": 45, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $207/228$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$69/76$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 353, "numerator": 207, "denominator": 228, "simplified_numerator": 69, "simplified_denominator": 76, "reduction_factor": 3, "style": "latex_inline", "factor": 3, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{4368}{24108}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{52}{287}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 354, "numerator": 4368, "denominator": 24108, "simplified_numerator": 52, "simplified_denominator": 287, "reduction_factor": 84, "style": "latex_frac", "factor": 84, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{153}{204}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{3}{4}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 355, "numerator": 153, "denominator": 204, "simplified_numerator": 3, "simplified_denominator": 4, "reduction_factor": 51, "style": "latex_dfrac", "factor": 51, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $22880/52415$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$416/953$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 356, "numerator": 22880, "denominator": 52415, "simplified_numerator": 416, "simplified_denominator": 953, "reduction_factor": 55, "style": "latex_inline", "factor": 55, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 3404/14812 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "37/161", "metadata": {"source_dataset": "fraction_simplification", "source_index": 357, "numerator": 3404, "denominator": 14812, "simplified_numerator": 37, "simplified_denominator": 161, "reduction_factor": 92, "style": "plain", "factor": 92, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 2607/4752 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "79/144", "metadata": {"source_dataset": "fraction_simplification", "source_index": 358, "numerator": 2607, "denominator": 4752, "simplified_numerator": 79, "simplified_denominator": 144, "reduction_factor": 33, "style": "plain", "factor": 33, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{2860}{14025}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{52}{255}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 359, "numerator": 2860, "denominator": 14025, "simplified_numerator": 52, "simplified_denominator": 255, "reduction_factor": 55, "style": "latex_frac", "factor": 55, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{3263}{5473}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{251}{421}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 360, "numerator": 3263, "denominator": 5473, "simplified_numerator": 251, "simplified_denominator": 421, "reduction_factor": 13, "style": "latex_dfrac", "factor": 13, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 88/220 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "2/5", "metadata": {"source_dataset": "fraction_simplification", "source_index": 361, "numerator": 88, "denominator": 220, "simplified_numerator": 2, "simplified_denominator": 5, "reduction_factor": 44, "style": "plain", "factor": 44, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 260/2756 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "5/53", "metadata": {"source_dataset": "fraction_simplification", "source_index": 362, "numerator": 260, "denominator": 2756, "simplified_numerator": 5, "simplified_denominator": 53, "reduction_factor": 52, "style": "plain", "factor": 52, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{828}{3496}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{9}{38}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 363, "numerator": 828, "denominator": 3496, "simplified_numerator": 9, "simplified_denominator": 38, "reduction_factor": 92, "style": "latex_dfrac", "factor": 92, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{7776}{17118}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{144}{317}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 364, "numerator": 7776, "denominator": 17118, "simplified_numerator": 144, "simplified_denominator": 317, "reduction_factor": 54, "style": "latex_dfrac", "factor": 54, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{9450}{11816}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{675}{844}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 365, "numerator": 9450, "denominator": 11816, "simplified_numerator": 675, "simplified_denominator": 844, "reduction_factor": 14, "style": "latex_frac", "factor": 14, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{20862}{23313}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{366}{409}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 366, "numerator": 20862, "denominator": 23313, "simplified_numerator": 366, "simplified_denominator": 409, "reduction_factor": 57, "style": "latex_frac", "factor": 57, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{18815}{30033}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{265}{423}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 367, "numerator": 18815, "denominator": 30033, "simplified_numerator": 265, "simplified_denominator": 423, "reduction_factor": 71, "style": "latex_dfrac", "factor": 71, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 6040/28080 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "151/702", "metadata": {"source_dataset": "fraction_simplification", "source_index": 368, "numerator": 6040, "denominator": 28080, "simplified_numerator": 151, "simplified_denominator": 702, "reduction_factor": 40, "style": "plain", "factor": 40, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $378/3108$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$9/74$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 369, "numerator": 378, "denominator": 3108, "simplified_numerator": 9, "simplified_denominator": 74, "reduction_factor": 42, "style": "latex_inline", "factor": 42, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 26845/80626 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "295/886", "metadata": {"source_dataset": "fraction_simplification", "source_index": 370, "numerator": 26845, "denominator": 80626, "simplified_numerator": 295, "simplified_denominator": 886, "reduction_factor": 91, "style": "plain", "factor": 91, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{63058}{68962}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{769}{841}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 371, "numerator": 63058, "denominator": 68962, "simplified_numerator": 769, "simplified_denominator": 841, "reduction_factor": 82, "style": "latex_dfrac", "factor": 82, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $19485/39060$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$433/868$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 372, "numerator": 19485, "denominator": 39060, "simplified_numerator": 433, "simplified_denominator": 868, "reduction_factor": 45, "style": "latex_inline", "factor": 45, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{5568}{12704}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{174}{397}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 373, "numerator": 5568, "denominator": 12704, "simplified_numerator": 174, "simplified_denominator": 397, "reduction_factor": 32, "style": "latex_frac", "factor": 32, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{10}{33}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{10}{33}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 374, "numerator": 10, "denominator": 33, "simplified_numerator": 10, "simplified_denominator": 33, "reduction_factor": 1, "style": "latex_frac", "factor": 1, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 3162/4929 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "34/53", "metadata": {"source_dataset": "fraction_simplification", "source_index": 375, "numerator": 3162, "denominator": 4929, "simplified_numerator": 34, "simplified_denominator": 53, "reduction_factor": 93, "style": "plain", "factor": 93, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{4965}{5445}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{331}{363}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 376, "numerator": 4965, "denominator": 5445, "simplified_numerator": 331, "simplified_denominator": 363, "reduction_factor": 15, "style": "latex_frac", "factor": 15, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $59520/65007$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$640/699$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 377, "numerator": 59520, "denominator": 65007, "simplified_numerator": 640, "simplified_denominator": 699, "reduction_factor": 93, "style": "latex_inline", "factor": 93, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{423}{10810}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{9}{230}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 378, "numerator": 423, "denominator": 10810, "simplified_numerator": 9, "simplified_denominator": 230, "reduction_factor": 47, "style": "latex_frac", "factor": 47, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{49691}{53009}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{629}{671}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 379, "numerator": 49691, "denominator": 53009, "simplified_numerator": 629, "simplified_denominator": 671, "reduction_factor": 79, "style": "latex_frac", "factor": 79, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{25}{33}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{25}{33}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 380, "numerator": 25, "denominator": 33, "simplified_numerator": 25, "simplified_denominator": 33, "reduction_factor": 1, "style": "latex_frac", "factor": 1, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{11760}{23170}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{168}{331}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 381, "numerator": 11760, "denominator": 23170, "simplified_numerator": 168, "simplified_denominator": 331, "reduction_factor": 70, "style": "latex_dfrac", "factor": 70, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $10472/12672$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$119/144$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 382, "numerator": 10472, "denominator": 12672, "simplified_numerator": 119, "simplified_denominator": 144, "reduction_factor": 88, "style": "latex_inline", "factor": 88, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{1012}{4730}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{46}{215}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 383, "numerator": 1012, "denominator": 4730, "simplified_numerator": 46, "simplified_denominator": 215, "reduction_factor": 22, "style": "latex_frac", "factor": 22, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{2632}{5358}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{28}{57}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 384, "numerator": 2632, "denominator": 5358, "simplified_numerator": 28, "simplified_denominator": 57, "reduction_factor": 94, "style": "latex_frac", "factor": 94, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{10584}{39627}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{168}{629}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 385, "numerator": 10584, "denominator": 39627, "simplified_numerator": 168, "simplified_denominator": 629, "reduction_factor": 63, "style": "latex_frac", "factor": 63, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{1834}{6083}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{262}{869}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 386, "numerator": 1834, "denominator": 6083, "simplified_numerator": 262, "simplified_denominator": 869, "reduction_factor": 7, "style": "latex_dfrac", "factor": 7, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 336/496 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "21/31", "metadata": {"source_dataset": "fraction_simplification", "source_index": 387, "numerator": 336, "denominator": 496, "simplified_numerator": 21, "simplified_denominator": 31, "reduction_factor": 16, "style": "plain", "factor": 16, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 1674/4068 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "93/226", "metadata": {"source_dataset": "fraction_simplification", "source_index": 388, "numerator": 1674, "denominator": 4068, "simplified_numerator": 93, "simplified_denominator": 226, "reduction_factor": 18, "style": "plain", "factor": 18, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 30000/99100 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "300/991", "metadata": {"source_dataset": "fraction_simplification", "source_index": 389, "numerator": 30000, "denominator": 99100, "simplified_numerator": 300, "simplified_denominator": 991, "reduction_factor": 100, "style": "plain", "factor": 100, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{3956}{4386}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{46}{51}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 390, "numerator": 3956, "denominator": 4386, "simplified_numerator": 46, "simplified_denominator": 51, "reduction_factor": 86, "style": "latex_dfrac", "factor": 86, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 4352/14784 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "68/231", "metadata": {"source_dataset": "fraction_simplification", "source_index": 391, "numerator": 4352, "denominator": 14784, "simplified_numerator": 68, "simplified_denominator": 231, "reduction_factor": 64, "style": "plain", "factor": 64, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $4757/24857$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$71/371$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 392, "numerator": 4757, "denominator": 24857, "simplified_numerator": 71, "simplified_denominator": 371, "reduction_factor": 67, "style": "latex_inline", "factor": 67, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{10600}{11075}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{424}{443}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 393, "numerator": 10600, "denominator": 11075, "simplified_numerator": 424, "simplified_denominator": 443, "reduction_factor": 25, "style": "latex_dfrac", "factor": 25, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{39200}{49300}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{392}{493}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 394, "numerator": 39200, "denominator": 49300, "simplified_numerator": 392, "simplified_denominator": 493, "reduction_factor": 100, "style": "latex_dfrac", "factor": 100, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 3783/7072 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "291/544", "metadata": {"source_dataset": "fraction_simplification", "source_index": 395, "numerator": 3783, "denominator": 7072, "simplified_numerator": 291, "simplified_denominator": 544, "reduction_factor": 13, "style": "plain", "factor": 13, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 15836/42254 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "214/571", "metadata": {"source_dataset": "fraction_simplification", "source_index": 396, "numerator": 15836, "denominator": 42254, "simplified_numerator": 214, "simplified_denominator": 571, "reduction_factor": 74, "style": "plain", "factor": 74, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{13480}{16560}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{337}{414}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 397, "numerator": 13480, "denominator": 16560, "simplified_numerator": 337, "simplified_denominator": 414, "reduction_factor": 40, "style": "latex_dfrac", "factor": 40, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{704}{4235}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{64}{385}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 398, "numerator": 704, "denominator": 4235, "simplified_numerator": 64, "simplified_denominator": 385, "reduction_factor": 11, "style": "latex_frac", "factor": 11, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $9516/49036$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$183/943$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 399, "numerator": 9516, "denominator": 49036, "simplified_numerator": 183, "simplified_denominator": 943, "reduction_factor": 52, "style": "latex_inline", "factor": 52, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{2679}{5643}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{47}{99}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 400, "numerator": 2679, "denominator": 5643, "simplified_numerator": 47, "simplified_denominator": 99, "reduction_factor": 57, "style": "latex_dfrac", "factor": 57, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{78}{465}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{26}{155}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 401, "numerator": 78, "denominator": 465, "simplified_numerator": 26, "simplified_denominator": 155, "reduction_factor": 3, "style": "latex_frac", "factor": 3, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{590}{634}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{295}{317}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 402, "numerator": 590, "denominator": 634, "simplified_numerator": 295, "simplified_denominator": 317, "reduction_factor": 2, "style": "latex_frac", "factor": 2, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 13888/18080 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "434/565", "metadata": {"source_dataset": "fraction_simplification", "source_index": 403, "numerator": 13888, "denominator": 18080, "simplified_numerator": 434, "simplified_denominator": 565, "reduction_factor": 32, "style": "plain", "factor": 32, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $15974/26362$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$163/269$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 404, "numerator": 15974, "denominator": 26362, "simplified_numerator": 163, "simplified_denominator": 269, "reduction_factor": 98, "style": "latex_inline", "factor": 98, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 28628/47396 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "421/697", "metadata": {"source_dataset": "fraction_simplification", "source_index": 405, "numerator": 28628, "denominator": 47396, "simplified_numerator": 421, "simplified_denominator": 697, "reduction_factor": 68, "style": "plain", "factor": 68, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{128}{144}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{8}{9}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 406, "numerator": 128, "denominator": 144, "simplified_numerator": 8, "simplified_denominator": 9, "reduction_factor": 16, "style": "latex_frac", "factor": 16, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{4900}{5375}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{196}{215}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 407, "numerator": 4900, "denominator": 5375, "simplified_numerator": 196, "simplified_denominator": 215, "reduction_factor": 25, "style": "latex_dfrac", "factor": 25, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $738/3772$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$9/46$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 408, "numerator": 738, "denominator": 3772, "simplified_numerator": 9, "simplified_denominator": 46, "reduction_factor": 82, "style": "latex_inline", "factor": 82, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{714}{10319}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{42}{607}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 409, "numerator": 714, "denominator": 10319, "simplified_numerator": 42, "simplified_denominator": 607, "reduction_factor": 17, "style": "latex_dfrac", "factor": 17, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{29750}{32385}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{350}{381}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 410, "numerator": 29750, "denominator": 32385, "simplified_numerator": 350, "simplified_denominator": 381, "reduction_factor": 85, "style": "latex_frac", "factor": 85, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{16767}{28290}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{243}{410}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 411, "numerator": 16767, "denominator": 28290, "simplified_numerator": 243, "simplified_denominator": 410, "reduction_factor": 69, "style": "latex_dfrac", "factor": 69, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{29856}{57792}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{311}{602}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 412, "numerator": 29856, "denominator": 57792, "simplified_numerator": 311, "simplified_denominator": 602, "reduction_factor": 96, "style": "latex_frac", "factor": 96, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 81933/86304 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "881/928", "metadata": {"source_dataset": "fraction_simplification", "source_index": 413, "numerator": 81933, "denominator": 86304, "simplified_numerator": 881, "simplified_denominator": 928, "reduction_factor": 93, "style": "plain", "factor": 93, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{27660}{46020}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{461}{767}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 414, "numerator": 27660, "denominator": 46020, "simplified_numerator": 461, "simplified_denominator": 767, "reduction_factor": 60, "style": "latex_dfrac", "factor": 60, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{4136}{16940}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{94}{385}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 415, "numerator": 4136, "denominator": 16940, "simplified_numerator": 94, "simplified_denominator": 385, "reduction_factor": 44, "style": "latex_frac", "factor": 44, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{4964}{42228}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{73}{621}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 416, "numerator": 4964, "denominator": 42228, "simplified_numerator": 73, "simplified_denominator": 621, "reduction_factor": 68, "style": "latex_dfrac", "factor": 68, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $65835/97317$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$665/983$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 417, "numerator": 65835, "denominator": 97317, "simplified_numerator": 665, "simplified_denominator": 983, "reduction_factor": 99, "style": "latex_inline", "factor": 99, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{9894}{23959}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{102}{247}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 418, "numerator": 9894, "denominator": 23959, "simplified_numerator": 102, "simplified_denominator": 247, "reduction_factor": 97, "style": "latex_dfrac", "factor": 97, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 10486/24108 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "107/246", "metadata": {"source_dataset": "fraction_simplification", "source_index": 419, "numerator": 10486, "denominator": 24108, "simplified_numerator": 107, "simplified_denominator": 246, "reduction_factor": 98, "style": "plain", "factor": 98, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{6070}{6870}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{607}{687}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 420, "numerator": 6070, "denominator": 6870, "simplified_numerator": 607, "simplified_denominator": 687, "reduction_factor": 10, "style": "latex_dfrac", "factor": 10, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 12749/48922 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "209/802", "metadata": {"source_dataset": "fraction_simplification", "source_index": 421, "numerator": 12749, "denominator": 48922, "simplified_numerator": 209, "simplified_denominator": 802, "reduction_factor": 61, "style": "plain", "factor": 61, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $11999/19809$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$169/279$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 422, "numerator": 11999, "denominator": 19809, "simplified_numerator": 169, "simplified_denominator": 279, "reduction_factor": 71, "style": "latex_inline", "factor": 71, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 5713/28623 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "197/987", "metadata": {"source_dataset": "fraction_simplification", "source_index": 423, "numerator": 5713, "denominator": 28623, "simplified_numerator": 197, "simplified_denominator": 987, "reduction_factor": 29, "style": "plain", "factor": 29, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{880}{14736}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{55}{921}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 424, "numerator": 880, "denominator": 14736, "simplified_numerator": 55, "simplified_denominator": 921, "reduction_factor": 16, "style": "latex_frac", "factor": 16, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 13468/25532 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "259/491", "metadata": {"source_dataset": "fraction_simplification", "source_index": 425, "numerator": 13468, "denominator": 25532, "simplified_numerator": 259, "simplified_denominator": 491, "reduction_factor": 52, "style": "plain", "factor": 52, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 56/104 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "7/13", "metadata": {"source_dataset": "fraction_simplification", "source_index": 426, "numerator": 56, "denominator": 104, "simplified_numerator": 7, "simplified_denominator": 13, "reduction_factor": 8, "style": "plain", "factor": 8, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{10608}{31707}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{272}{813}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 427, "numerator": 10608, "denominator": 31707, "simplified_numerator": 272, "simplified_denominator": 813, "reduction_factor": 39, "style": "latex_frac", "factor": 39, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $1935/33480$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$43/744$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 428, "numerator": 1935, "denominator": 33480, "simplified_numerator": 43, "simplified_denominator": 744, "reduction_factor": 45, "style": "latex_inline", "factor": 45, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{6255}{8649}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{695}{961}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 429, "numerator": 6255, "denominator": 8649, "simplified_numerator": 695, "simplified_denominator": 961, "reduction_factor": 9, "style": "latex_frac", "factor": 9, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{1378}{7852}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{53}{302}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 430, "numerator": 1378, "denominator": 7852, "simplified_numerator": 53, "simplified_denominator": 302, "reduction_factor": 26, "style": "latex_dfrac", "factor": 26, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 805/819 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "115/117", "metadata": {"source_dataset": "fraction_simplification", "source_index": 431, "numerator": 805, "denominator": 819, "simplified_numerator": 115, "simplified_denominator": 117, "reduction_factor": 7, "style": "plain", "factor": 7, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{42}{581}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{6}{83}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 432, "numerator": 42, "denominator": 581, "simplified_numerator": 6, "simplified_denominator": 83, "reduction_factor": 7, "style": "latex_dfrac", "factor": 7, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{67}{998}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{67}{998}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 433, "numerator": 67, "denominator": 998, "simplified_numerator": 67, "simplified_denominator": 998, "reduction_factor": 1, "style": "latex_dfrac", "factor": 1, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{38760}{53428}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{510}{703}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 434, "numerator": 38760, "denominator": 53428, "simplified_numerator": 510, "simplified_denominator": 703, "reduction_factor": 76, "style": "latex_frac", "factor": 76, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{2975}{4424}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{425}{632}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 435, "numerator": 2975, "denominator": 4424, "simplified_numerator": 425, "simplified_denominator": 632, "reduction_factor": 7, "style": "latex_frac", "factor": 7, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 6700/19760 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "335/988", "metadata": {"source_dataset": "fraction_simplification", "source_index": 436, "numerator": 6700, "denominator": 19760, "simplified_numerator": 335, "simplified_denominator": 988, "reduction_factor": 20, "style": "plain", "factor": 20, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $43794/50760$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$811/940$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 437, "numerator": 43794, "denominator": 50760, "simplified_numerator": 811, "simplified_denominator": 940, "reduction_factor": 54, "style": "latex_inline", "factor": 54, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{35464}{51216}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{403}{582}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 438, "numerator": 35464, "denominator": 51216, "simplified_numerator": 403, "simplified_denominator": 582, "reduction_factor": 88, "style": "latex_frac", "factor": 88, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{42395}{43188}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{695}{708}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 439, "numerator": 42395, "denominator": 43188, "simplified_numerator": 695, "simplified_denominator": 708, "reduction_factor": 61, "style": "latex_dfrac", "factor": 61, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{10413}{11895}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{267}{305}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 440, "numerator": 10413, "denominator": 11895, "simplified_numerator": 267, "simplified_denominator": 305, "reduction_factor": 39, "style": "latex_dfrac", "factor": 39, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{40182}{51356}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{543}{694}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 441, "numerator": 40182, "denominator": 51356, "simplified_numerator": 543, "simplified_denominator": 694, "reduction_factor": 74, "style": "latex_frac", "factor": 74, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{9177}{33402}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{161}{586}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 442, "numerator": 9177, "denominator": 33402, "simplified_numerator": 161, "simplified_denominator": 586, "reduction_factor": 57, "style": "latex_frac", "factor": 57, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $1764/1862$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$18/19$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 443, "numerator": 1764, "denominator": 1862, "simplified_numerator": 18, "simplified_denominator": 19, "reduction_factor": 98, "style": "latex_inline", "factor": 98, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{11151}{11277}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{177}{179}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 444, "numerator": 11151, "denominator": 11277, "simplified_numerator": 177, "simplified_denominator": 179, "reduction_factor": 63, "style": "latex_frac", "factor": 63, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{65442}{70278}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{839}{901}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 445, "numerator": 65442, "denominator": 70278, "simplified_numerator": 839, "simplified_denominator": 901, "reduction_factor": 78, "style": "latex_frac", "factor": 78, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{10695}{48546}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{115}{522}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 446, "numerator": 10695, "denominator": 48546, "simplified_numerator": 115, "simplified_denominator": 522, "reduction_factor": 93, "style": "latex_frac", "factor": 93, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{10879}{11063}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{473}{481}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 447, "numerator": 10879, "denominator": 11063, "simplified_numerator": 473, "simplified_denominator": 481, "reduction_factor": 23, "style": "latex_dfrac", "factor": 23, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{46055}{56303}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{755}{923}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 448, "numerator": 46055, "denominator": 56303, "simplified_numerator": 755, "simplified_denominator": 923, "reduction_factor": 61, "style": "latex_dfrac", "factor": 61, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{25908}{41871}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{508}{821}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 449, "numerator": 25908, "denominator": 41871, "simplified_numerator": 508, "simplified_denominator": 821, "reduction_factor": 51, "style": "latex_dfrac", "factor": 51, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{8834}{11550}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{631}{825}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 450, "numerator": 8834, "denominator": 11550, "simplified_numerator": 631, "simplified_denominator": 825, "reduction_factor": 14, "style": "latex_frac", "factor": 14, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{22792}{80872}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{259}{919}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 451, "numerator": 22792, "denominator": 80872, "simplified_numerator": 259, "simplified_denominator": 919, "reduction_factor": 88, "style": "latex_frac", "factor": 88, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $54379/57138$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$611/642$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 452, "numerator": 54379, "denominator": 57138, "simplified_numerator": 611, "simplified_denominator": 642, "reduction_factor": 89, "style": "latex_inline", "factor": 89, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 4200/17525 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "168/701", "metadata": {"source_dataset": "fraction_simplification", "source_index": 453, "numerator": 4200, "denominator": 17525, "simplified_numerator": 168, "simplified_denominator": 701, "reduction_factor": 25, "style": "plain", "factor": 25, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{1276}{1682}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{22}{29}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 454, "numerator": 1276, "denominator": 1682, "simplified_numerator": 22, "simplified_denominator": 29, "reduction_factor": 58, "style": "latex_dfrac", "factor": 58, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $25286/57622$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$269/613$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 455, "numerator": 25286, "denominator": 57622, "simplified_numerator": 269, "simplified_denominator": 613, "reduction_factor": 94, "style": "latex_inline", "factor": 94, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $16827/19513$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$213/247$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 456, "numerator": 16827, "denominator": 19513, "simplified_numerator": 213, "simplified_denominator": 247, "reduction_factor": 79, "style": "latex_inline", "factor": 79, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{873}{1358}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{9}{14}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 457, "numerator": 873, "denominator": 1358, "simplified_numerator": 9, "simplified_denominator": 14, "reduction_factor": 97, "style": "latex_dfrac", "factor": 97, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{748}{1292}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{11}{19}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 458, "numerator": 748, "denominator": 1292, "simplified_numerator": 11, "simplified_denominator": 19, "reduction_factor": 68, "style": "latex_dfrac", "factor": 68, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{4698}{10611}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{58}{131}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 459, "numerator": 4698, "denominator": 10611, "simplified_numerator": 58, "simplified_denominator": 131, "reduction_factor": 81, "style": "latex_frac", "factor": 81, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{8206}{11396}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{373}{518}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 460, "numerator": 8206, "denominator": 11396, "simplified_numerator": 373, "simplified_denominator": 518, "reduction_factor": 22, "style": "latex_frac", "factor": 22, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $1794/2024$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$39/44$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 461, "numerator": 1794, "denominator": 2024, "simplified_numerator": 39, "simplified_denominator": 44, "reduction_factor": 46, "style": "latex_inline", "factor": 46, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{35150}{62456}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{475}{844}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 462, "numerator": 35150, "denominator": 62456, "simplified_numerator": 475, "simplified_denominator": 844, "reduction_factor": 74, "style": "latex_frac", "factor": 74, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{273}{468}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{7}{12}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 463, "numerator": 273, "denominator": 468, "simplified_numerator": 7, "simplified_denominator": 12, "reduction_factor": 39, "style": "latex_frac", "factor": 39, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{48888}{50589}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{776}{803}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 464, "numerator": 48888, "denominator": 50589, "simplified_numerator": 776, "simplified_denominator": 803, "reduction_factor": 63, "style": "latex_frac", "factor": 63, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $39520/71920$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$494/899$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 465, "numerator": 39520, "denominator": 71920, "simplified_numerator": 494, "simplified_denominator": 899, "reduction_factor": 80, "style": "latex_inline", "factor": 80, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{47175}{68510}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{555}{806}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 466, "numerator": 47175, "denominator": 68510, "simplified_numerator": 555, "simplified_denominator": 806, "reduction_factor": 85, "style": "latex_dfrac", "factor": 85, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $38988/42282$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$722/783$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 467, "numerator": 38988, "denominator": 42282, "simplified_numerator": 722, "simplified_denominator": 783, "reduction_factor": 54, "style": "latex_inline", "factor": 54, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{24921}{29323}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{351}{413}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 468, "numerator": 24921, "denominator": 29323, "simplified_numerator": 351, "simplified_denominator": 413, "reduction_factor": 71, "style": "latex_frac", "factor": 71, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $1792/7440$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$112/465$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 469, "numerator": 1792, "denominator": 7440, "simplified_numerator": 112, "simplified_denominator": 465, "reduction_factor": 16, "style": "latex_inline", "factor": 16, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $228/9519$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$4/167$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 470, "numerator": 228, "denominator": 9519, "simplified_numerator": 4, "simplified_denominator": 167, "reduction_factor": 57, "style": "latex_inline", "factor": 57, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $289/3570$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$17/210$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 471, "numerator": 289, "denominator": 3570, "simplified_numerator": 17, "simplified_denominator": 210, "reduction_factor": 17, "style": "latex_inline", "factor": 17, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $9153/29727$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$113/367$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 472, "numerator": 9153, "denominator": 29727, "simplified_numerator": 113, "simplified_denominator": 367, "reduction_factor": 81, "style": "latex_inline", "factor": 81, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $6253/10397$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$169/281$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 473, "numerator": 6253, "denominator": 10397, "simplified_numerator": 169, "simplified_denominator": 281, "reduction_factor": 37, "style": "latex_inline", "factor": 37, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 4650/5177 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "150/167", "metadata": {"source_dataset": "fraction_simplification", "source_index": 474, "numerator": 4650, "denominator": 5177, "simplified_numerator": 150, "simplified_denominator": 167, "reduction_factor": 31, "style": "plain", "factor": 31, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{41199}{77376}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{443}{832}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 475, "numerator": 41199, "denominator": 77376, "simplified_numerator": 443, "simplified_denominator": 832, "reduction_factor": 93, "style": "latex_dfrac", "factor": 93, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{3120}{3552}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{65}{74}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 476, "numerator": 3120, "denominator": 3552, "simplified_numerator": 65, "simplified_denominator": 74, "reduction_factor": 48, "style": "latex_frac", "factor": 48, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{604}{824}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{151}{206}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 477, "numerator": 604, "denominator": 824, "simplified_numerator": 151, "simplified_denominator": 206, "reduction_factor": 4, "style": "latex_frac", "factor": 4, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{357}{1581}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{7}{31}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 478, "numerator": 357, "denominator": 1581, "simplified_numerator": 7, "simplified_denominator": 31, "reduction_factor": 51, "style": "latex_dfrac", "factor": 51, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{40}{4120}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{1}{103}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 479, "numerator": 40, "denominator": 4120, "simplified_numerator": 1, "simplified_denominator": 103, "reduction_factor": 40, "style": "latex_frac", "factor": 40, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 3950/12000 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "79/240", "metadata": {"source_dataset": "fraction_simplification", "source_index": 480, "numerator": 3950, "denominator": 12000, "simplified_numerator": 79, "simplified_denominator": 240, "reduction_factor": 50, "style": "plain", "factor": 50, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{25826}{25937}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{698}{701}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 481, "numerator": 25826, "denominator": 25937, "simplified_numerator": 698, "simplified_denominator": 701, "reduction_factor": 37, "style": "latex_dfrac", "factor": 37, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{462}{1978}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{231}{989}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 482, "numerator": 462, "denominator": 1978, "simplified_numerator": 231, "simplified_denominator": 989, "reduction_factor": 2, "style": "latex_frac", "factor": 2, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{8385}{12705}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{559}{847}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 483, "numerator": 8385, "denominator": 12705, "simplified_numerator": 559, "simplified_denominator": 847, "reduction_factor": 15, "style": "latex_dfrac", "factor": 15, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 3792/5256 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "158/219", "metadata": {"source_dataset": "fraction_simplification", "source_index": 484, "numerator": 3792, "denominator": 5256, "simplified_numerator": 158, "simplified_denominator": 219, "reduction_factor": 24, "style": "plain", "factor": 24, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $19580/41932$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$445/953$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 485, "numerator": 19580, "denominator": 41932, "simplified_numerator": 445, "simplified_denominator": 953, "reduction_factor": 44, "style": "latex_inline", "factor": 44, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{4307}{58619}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{59}{803}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 486, "numerator": 4307, "denominator": 58619, "simplified_numerator": 59, "simplified_denominator": 803, "reduction_factor": 73, "style": "latex_frac", "factor": 73, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $13320/19060$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$666/953$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 487, "numerator": 13320, "denominator": 19060, "simplified_numerator": 666, "simplified_denominator": 953, "reduction_factor": 20, "style": "latex_inline", "factor": 20, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $4718/12600$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$337/900$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 488, "numerator": 4718, "denominator": 12600, "simplified_numerator": 337, "simplified_denominator": 900, "reduction_factor": 14, "style": "latex_inline", "factor": 14, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $1496/1848$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$17/21$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 489, "numerator": 1496, "denominator": 1848, "simplified_numerator": 17, "simplified_denominator": 21, "reduction_factor": 88, "style": "latex_inline", "factor": 88, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $17200/53760$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$215/672$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 490, "numerator": 17200, "denominator": 53760, "simplified_numerator": 215, "simplified_denominator": 672, "reduction_factor": 80, "style": "latex_inline", "factor": 80, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{15664}{34443}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{176}{387}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 491, "numerator": 15664, "denominator": 34443, "simplified_numerator": 176, "simplified_denominator": 387, "reduction_factor": 89, "style": "latex_frac", "factor": 89, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $30743/64681$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$433/911$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 492, "numerator": 30743, "denominator": 64681, "simplified_numerator": 433, "simplified_denominator": 911, "reduction_factor": 71, "style": "latex_inline", "factor": 71, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{7830}{47844}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{145}{886}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 493, "numerator": 7830, "denominator": 47844, "simplified_numerator": 145, "simplified_denominator": 886, "reduction_factor": 54, "style": "latex_dfrac", "factor": 54, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 7938/30861 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "98/381", "metadata": {"source_dataset": "fraction_simplification", "source_index": 494, "numerator": 7938, "denominator": 30861, "simplified_numerator": 98, "simplified_denominator": 381, "reduction_factor": 81, "style": "plain", "factor": 81, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $2912/4768$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$91/149$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 495, "numerator": 2912, "denominator": 4768, "simplified_numerator": 91, "simplified_denominator": 149, "reduction_factor": 32, "style": "latex_inline", "factor": 32, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{973}{1064}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{139}{152}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 496, "numerator": 973, "denominator": 1064, "simplified_numerator": 139, "simplified_denominator": 152, "reduction_factor": 7, "style": "latex_dfrac", "factor": 7, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 19109/29488 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "197/304", "metadata": {"source_dataset": "fraction_simplification", "source_index": 497, "numerator": 19109, "denominator": 29488, "simplified_numerator": 197, "simplified_denominator": 304, "reduction_factor": 97, "style": "plain", "factor": 97, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{27004}{27434}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{314}{319}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 498, "numerator": 27004, "denominator": 27434, "simplified_numerator": 314, "simplified_denominator": 319, "reduction_factor": 86, "style": "latex_frac", "factor": 86, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{180}{11040}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{3}{184}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 499, "numerator": 180, "denominator": 11040, "simplified_numerator": 3, "simplified_denominator": 184, "reduction_factor": 60, "style": "latex_dfrac", "factor": 60, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{84}{357}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{4}{17}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 500, "numerator": 84, "denominator": 357, "simplified_numerator": 4, "simplified_denominator": 17, "reduction_factor": 21, "style": "latex_dfrac", "factor": 21, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 5593/7344 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "329/432", "metadata": {"source_dataset": "fraction_simplification", "source_index": 501, "numerator": 5593, "denominator": 7344, "simplified_numerator": 329, "simplified_denominator": 432, "reduction_factor": 17, "style": "plain", "factor": 17, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 1116/1260 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "31/35", "metadata": {"source_dataset": "fraction_simplification", "source_index": 502, "numerator": 1116, "denominator": 1260, "simplified_numerator": 31, "simplified_denominator": 35, "reduction_factor": 36, "style": "plain", "factor": 36, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 20553/59892 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "221/644", "metadata": {"source_dataset": "fraction_simplification", "source_index": 503, "numerator": 20553, "denominator": 59892, "simplified_numerator": 221, "simplified_denominator": 644, "reduction_factor": 93, "style": "plain", "factor": 93, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{765}{14484}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{15}{284}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 504, "numerator": 765, "denominator": 14484, "simplified_numerator": 15, "simplified_denominator": 284, "reduction_factor": 51, "style": "latex_dfrac", "factor": 51, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{4277}{7007}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{47}{77}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 505, "numerator": 4277, "denominator": 7007, "simplified_numerator": 47, "simplified_denominator": 77, "reduction_factor": 91, "style": "latex_frac", "factor": 91, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $175/4890$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$35/978$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 506, "numerator": 175, "denominator": 4890, "simplified_numerator": 35, "simplified_denominator": 978, "reduction_factor": 5, "style": "latex_inline", "factor": 5, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{17264}{24674}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{664}{949}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 507, "numerator": 17264, "denominator": 24674, "simplified_numerator": 664, "simplified_denominator": 949, "reduction_factor": 26, "style": "latex_dfrac", "factor": 26, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $7381/13115$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$121/215$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 508, "numerator": 7381, "denominator": 13115, "simplified_numerator": 121, "simplified_denominator": 215, "reduction_factor": 61, "style": "latex_inline", "factor": 61, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $15050/19178$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$175/223$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 509, "numerator": 15050, "denominator": 19178, "simplified_numerator": 175, "simplified_denominator": 223, "reduction_factor": 86, "style": "latex_inline", "factor": 86, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{220}{7610}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{22}{761}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 510, "numerator": 220, "denominator": 7610, "simplified_numerator": 22, "simplified_denominator": 761, "reduction_factor": 10, "style": "latex_dfrac", "factor": 10, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $1593/28556$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$27/484$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 511, "numerator": 1593, "denominator": 28556, "simplified_numerator": 27, "simplified_denominator": 484, "reduction_factor": 59, "style": "latex_inline", "factor": 59, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{2691}{4048}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{117}{176}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 512, "numerator": 2691, "denominator": 4048, "simplified_numerator": 117, "simplified_denominator": 176, "reduction_factor": 23, "style": "latex_frac", "factor": 23, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $693/987$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$33/47$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 513, "numerator": 693, "denominator": 987, "simplified_numerator": 33, "simplified_denominator": 47, "reduction_factor": 21, "style": "latex_inline", "factor": 21, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{12125}{17650}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{485}{706}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 514, "numerator": 12125, "denominator": 17650, "simplified_numerator": 485, "simplified_denominator": 706, "reduction_factor": 25, "style": "latex_dfrac", "factor": 25, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{364}{7238}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{26}{517}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 515, "numerator": 364, "denominator": 7238, "simplified_numerator": 26, "simplified_denominator": 517, "reduction_factor": 14, "style": "latex_frac", "factor": 14, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 1224/2686 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "36/79", "metadata": {"source_dataset": "fraction_simplification", "source_index": 516, "numerator": 1224, "denominator": 2686, "simplified_numerator": 36, "simplified_denominator": 79, "reduction_factor": 34, "style": "plain", "factor": 34, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{224}{8680}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{4}{155}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 517, "numerator": 224, "denominator": 8680, "simplified_numerator": 4, "simplified_denominator": 155, "reduction_factor": 56, "style": "latex_frac", "factor": 56, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{654}{780}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{109}{130}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 518, "numerator": 654, "denominator": 780, "simplified_numerator": 109, "simplified_denominator": 130, "reduction_factor": 6, "style": "latex_dfrac", "factor": 6, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $14092/15782$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$542/607$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 519, "numerator": 14092, "denominator": 15782, "simplified_numerator": 542, "simplified_denominator": 607, "reduction_factor": 26, "style": "latex_inline", "factor": 26, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 34489/68614 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "379/754", "metadata": {"source_dataset": "fraction_simplification", "source_index": 520, "numerator": 34489, "denominator": 68614, "simplified_numerator": 379, "simplified_denominator": 754, "reduction_factor": 91, "style": "plain", "factor": 91, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 20865/29406 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "535/754", "metadata": {"source_dataset": "fraction_simplification", "source_index": 521, "numerator": 20865, "denominator": 29406, "simplified_numerator": 535, "simplified_denominator": 754, "reduction_factor": 39, "style": "plain", "factor": 39, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{598}{1898}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{23}{73}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 522, "numerator": 598, "denominator": 1898, "simplified_numerator": 23, "simplified_denominator": 73, "reduction_factor": 26, "style": "latex_frac", "factor": 26, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{2500}{3700}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{25}{37}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 523, "numerator": 2500, "denominator": 3700, "simplified_numerator": 25, "simplified_denominator": 37, "reduction_factor": 100, "style": "latex_dfrac", "factor": 100, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{1008}{1197}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{16}{19}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 524, "numerator": 1008, "denominator": 1197, "simplified_numerator": 16, "simplified_denominator": 19, "reduction_factor": 63, "style": "latex_frac", "factor": 63, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 8906/19947 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "146/327", "metadata": {"source_dataset": "fraction_simplification", "source_index": 525, "numerator": 8906, "denominator": 19947, "simplified_numerator": 146, "simplified_denominator": 327, "reduction_factor": 61, "style": "plain", "factor": 61, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{828}{2415}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{12}{35}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 526, "numerator": 828, "denominator": 2415, "simplified_numerator": 12, "simplified_denominator": 35, "reduction_factor": 69, "style": "latex_dfrac", "factor": 69, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 43815/60996 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "635/884", "metadata": {"source_dataset": "fraction_simplification", "source_index": 527, "numerator": 43815, "denominator": 60996, "simplified_numerator": 635, "simplified_denominator": 884, "reduction_factor": 69, "style": "plain", "factor": 69, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{158}{416}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{79}{208}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 528, "numerator": 158, "denominator": 416, "simplified_numerator": 79, "simplified_denominator": 208, "reduction_factor": 2, "style": "latex_frac", "factor": 2, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{2355}{3975}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{157}{265}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 529, "numerator": 2355, "denominator": 3975, "simplified_numerator": 157, "simplified_denominator": 265, "reduction_factor": 15, "style": "latex_dfrac", "factor": 15, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{11169}{49368}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{219}{968}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 530, "numerator": 11169, "denominator": 49368, "simplified_numerator": 219, "simplified_denominator": 968, "reduction_factor": 51, "style": "latex_frac", "factor": 51, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{59892}{62580}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{713}{745}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 531, "numerator": 59892, "denominator": 62580, "simplified_numerator": 713, "simplified_denominator": 745, "reduction_factor": 84, "style": "latex_frac", "factor": 84, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 22649/41535 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "319/585", "metadata": {"source_dataset": "fraction_simplification", "source_index": 532, "numerator": 22649, "denominator": 41535, "simplified_numerator": 319, "simplified_denominator": 585, "reduction_factor": 71, "style": "plain", "factor": 71, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 26918/65876 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "313/766", "metadata": {"source_dataset": "fraction_simplification", "source_index": 533, "numerator": 26918, "denominator": 65876, "simplified_numerator": 313, "simplified_denominator": 766, "reduction_factor": 86, "style": "plain", "factor": 86, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{53504}{59508}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{704}{783}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 534, "numerator": 53504, "denominator": 59508, "simplified_numerator": 704, "simplified_denominator": 783, "reduction_factor": 76, "style": "latex_dfrac", "factor": 76, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 32310/36180 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "359/402", "metadata": {"source_dataset": "fraction_simplification", "source_index": 535, "numerator": 32310, "denominator": 36180, "simplified_numerator": 359, "simplified_denominator": 402, "reduction_factor": 90, "style": "plain", "factor": 90, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{3129}{8211}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{149}{391}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 536, "numerator": 3129, "denominator": 8211, "simplified_numerator": 149, "simplified_denominator": 391, "reduction_factor": 21, "style": "latex_dfrac", "factor": 21, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{16848}{50180}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{324}{965}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 537, "numerator": 16848, "denominator": 50180, "simplified_numerator": 324, "simplified_denominator": 965, "reduction_factor": 52, "style": "latex_dfrac", "factor": 52, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 20140/20406 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "530/537", "metadata": {"source_dataset": "fraction_simplification", "source_index": 538, "numerator": 20140, "denominator": 20406, "simplified_numerator": 530, "simplified_denominator": 537, "reduction_factor": 38, "style": "plain", "factor": 38, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{192}{17496}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{8}{729}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 539, "numerator": 192, "denominator": 17496, "simplified_numerator": 8, "simplified_denominator": 729, "reduction_factor": 24, "style": "latex_frac", "factor": 24, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $3150/10995$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$210/733$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 540, "numerator": 3150, "denominator": 10995, "simplified_numerator": 210, "simplified_denominator": 733, "reduction_factor": 15, "style": "latex_inline", "factor": 15, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{8265}{14025}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{551}{935}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 541, "numerator": 8265, "denominator": 14025, "simplified_numerator": 551, "simplified_denominator": 935, "reduction_factor": 15, "style": "latex_frac", "factor": 15, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $20130/23859$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$610/723$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 542, "numerator": 20130, "denominator": 23859, "simplified_numerator": 610, "simplified_denominator": 723, "reduction_factor": 33, "style": "latex_inline", "factor": 33, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $5952/8277$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$64/89$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 543, "numerator": 5952, "denominator": 8277, "simplified_numerator": 64, "simplified_denominator": 89, "reduction_factor": 93, "style": "latex_inline", "factor": 93, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{4496}{12096}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{281}{756}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 544, "numerator": 4496, "denominator": 12096, "simplified_numerator": 281, "simplified_denominator": 756, "reduction_factor": 16, "style": "latex_frac", "factor": 16, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{36300}{45700}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{363}{457}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 545, "numerator": 36300, "denominator": 45700, "simplified_numerator": 363, "simplified_denominator": 457, "reduction_factor": 100, "style": "latex_frac", "factor": 100, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{38636}{47736}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{743}{918}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 546, "numerator": 38636, "denominator": 47736, "simplified_numerator": 743, "simplified_denominator": 918, "reduction_factor": 52, "style": "latex_frac", "factor": 52, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $10292/28801$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$124/347$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 547, "numerator": 10292, "denominator": 28801, "simplified_numerator": 124, "simplified_denominator": 347, "reduction_factor": 83, "style": "latex_inline", "factor": 83, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{1794}{3519}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{26}{51}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 548, "numerator": 1794, "denominator": 3519, "simplified_numerator": 26, "simplified_denominator": 51, "reduction_factor": 69, "style": "latex_dfrac", "factor": 69, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 25155/36530 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "387/562", "metadata": {"source_dataset": "fraction_simplification", "source_index": 549, "numerator": 25155, "denominator": 36530, "simplified_numerator": 387, "simplified_denominator": 562, "reduction_factor": 65, "style": "plain", "factor": 65, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $330/2112$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$5/32$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 550, "numerator": 330, "denominator": 2112, "simplified_numerator": 5, "simplified_denominator": 32, "reduction_factor": 66, "style": "latex_inline", "factor": 66, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{15181}{44462}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{323}{946}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 551, "numerator": 15181, "denominator": 44462, "simplified_numerator": 323, "simplified_denominator": 946, "reduction_factor": 47, "style": "latex_frac", "factor": 47, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $11352/42328$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$129/481$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 552, "numerator": 11352, "denominator": 42328, "simplified_numerator": 129, "simplified_denominator": 481, "reduction_factor": 88, "style": "latex_inline", "factor": 88, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{3285}{8100}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{73}{180}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 553, "numerator": 3285, "denominator": 8100, "simplified_numerator": 73, "simplified_denominator": 180, "reduction_factor": 45, "style": "latex_dfrac", "factor": 45, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $598/1587$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$26/69$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 554, "numerator": 598, "denominator": 1587, "simplified_numerator": 26, "simplified_denominator": 69, "reduction_factor": 23, "style": "latex_inline", "factor": 23, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{2080}{19700}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{104}{985}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 555, "numerator": 2080, "denominator": 19700, "simplified_numerator": 104, "simplified_denominator": 985, "reduction_factor": 20, "style": "latex_frac", "factor": 20, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{2769}{2834}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{213}{218}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 556, "numerator": 2769, "denominator": 2834, "simplified_numerator": 213, "simplified_denominator": 218, "reduction_factor": 13, "style": "latex_dfrac", "factor": 13, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 308/6380 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "7/145", "metadata": {"source_dataset": "fraction_simplification", "source_index": 557, "numerator": 308, "denominator": 6380, "simplified_numerator": 7, "simplified_denominator": 145, "reduction_factor": 44, "style": "plain", "factor": 44, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{12195}{43380}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{271}{964}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 558, "numerator": 12195, "denominator": 43380, "simplified_numerator": 271, "simplified_denominator": 964, "reduction_factor": 45, "style": "latex_dfrac", "factor": 45, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 803/2847 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "11/39", "metadata": {"source_dataset": "fraction_simplification", "source_index": 559, "numerator": 803, "denominator": 2847, "simplified_numerator": 11, "simplified_denominator": 39, "reduction_factor": 73, "style": "plain", "factor": 73, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{8170}{17673}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{190}{411}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 560, "numerator": 8170, "denominator": 17673, "simplified_numerator": 190, "simplified_denominator": 411, "reduction_factor": 43, "style": "latex_frac", "factor": 43, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{12337}{41245}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{169}{565}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 561, "numerator": 12337, "denominator": 41245, "simplified_numerator": 169, "simplified_denominator": 565, "reduction_factor": 73, "style": "latex_frac", "factor": 73, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{1650}{5200}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{33}{104}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 562, "numerator": 1650, "denominator": 5200, "simplified_numerator": 33, "simplified_denominator": 104, "reduction_factor": 50, "style": "latex_frac", "factor": 50, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{13098}{66970}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{177}{905}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 563, "numerator": 13098, "denominator": 66970, "simplified_numerator": 177, "simplified_denominator": 905, "reduction_factor": 74, "style": "latex_dfrac", "factor": 74, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{6024}{7208}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{753}{901}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 564, "numerator": 6024, "denominator": 7208, "simplified_numerator": 753, "simplified_denominator": 901, "reduction_factor": 8, "style": "latex_frac", "factor": 8, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 7857/69355 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "81/715", "metadata": {"source_dataset": "fraction_simplification", "source_index": 565, "numerator": 7857, "denominator": 69355, "simplified_numerator": 81, "simplified_denominator": 715, "reduction_factor": 97, "style": "plain", "factor": 97, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{1215}{6129}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{45}{227}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 566, "numerator": 1215, "denominator": 6129, "simplified_numerator": 45, "simplified_denominator": 227, "reduction_factor": 27, "style": "latex_dfrac", "factor": 27, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 680/760 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "17/19", "metadata": {"source_dataset": "fraction_simplification", "source_index": 567, "numerator": 680, "denominator": 760, "simplified_numerator": 17, "simplified_denominator": 19, "reduction_factor": 40, "style": "plain", "factor": 40, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{440}{480}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{11}{12}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 568, "numerator": 440, "denominator": 480, "simplified_numerator": 11, "simplified_denominator": 12, "reduction_factor": 40, "style": "latex_frac", "factor": 40, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $25065/44595$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$557/991$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 569, "numerator": 25065, "denominator": 44595, "simplified_numerator": 557, "simplified_denominator": 991, "reduction_factor": 45, "style": "latex_inline", "factor": 45, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $12267/12586$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$423/434$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 570, "numerator": 12267, "denominator": 12586, "simplified_numerator": 423, "simplified_denominator": 434, "reduction_factor": 29, "style": "latex_inline", "factor": 29, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{1040}{2272}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{65}{142}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 571, "numerator": 1040, "denominator": 2272, "simplified_numerator": 65, "simplified_denominator": 142, "reduction_factor": 16, "style": "latex_dfrac", "factor": 16, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $18486/20280$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$237/260$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 572, "numerator": 18486, "denominator": 20280, "simplified_numerator": 237, "simplified_denominator": 260, "reduction_factor": 78, "style": "latex_inline", "factor": 78, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $790/1290$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$79/129$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 573, "numerator": 790, "denominator": 1290, "simplified_numerator": 79, "simplified_denominator": 129, "reduction_factor": 10, "style": "latex_inline", "factor": 10, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $812/20474$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$14/353$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 574, "numerator": 812, "denominator": 20474, "simplified_numerator": 14, "simplified_denominator": 353, "reduction_factor": 58, "style": "latex_inline", "factor": 58, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{5723}{8378}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{97}{142}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 575, "numerator": 5723, "denominator": 8378, "simplified_numerator": 97, "simplified_denominator": 142, "reduction_factor": 59, "style": "latex_frac", "factor": 59, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{11304}{16512}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{471}{688}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 576, "numerator": 11304, "denominator": 16512, "simplified_numerator": 471, "simplified_denominator": 688, "reduction_factor": 24, "style": "latex_dfrac", "factor": 24, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $29/52$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$29/52$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 577, "numerator": 29, "denominator": 52, "simplified_numerator": 29, "simplified_denominator": 52, "reduction_factor": 1, "style": "latex_inline", "factor": 1, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{14885}{28990}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{229}{446}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 578, "numerator": 14885, "denominator": 28990, "simplified_numerator": 229, "simplified_denominator": 446, "reduction_factor": 65, "style": "latex_dfrac", "factor": 65, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{12880}{25280}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{161}{316}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 579, "numerator": 12880, "denominator": 25280, "simplified_numerator": 161, "simplified_denominator": 316, "reduction_factor": 80, "style": "latex_frac", "factor": 80, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{6138}{29997}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{62}{303}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 580, "numerator": 6138, "denominator": 29997, "simplified_numerator": 62, "simplified_denominator": 303, "reduction_factor": 99, "style": "latex_dfrac", "factor": 99, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 1034/8514 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "47/387", "metadata": {"source_dataset": "fraction_simplification", "source_index": 581, "numerator": 1034, "denominator": 8514, "simplified_numerator": 47, "simplified_denominator": 387, "reduction_factor": 22, "style": "plain", "factor": 22, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $970/4615$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$194/923$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 582, "numerator": 970, "denominator": 4615, "simplified_numerator": 194, "simplified_denominator": 923, "reduction_factor": 5, "style": "latex_inline", "factor": 5, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 20097/32263 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "261/419", "metadata": {"source_dataset": "fraction_simplification", "source_index": 583, "numerator": 20097, "denominator": 32263, "simplified_numerator": 261, "simplified_denominator": 419, "reduction_factor": 77, "style": "plain", "factor": 77, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $6000/12688$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$375/793$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 584, "numerator": 6000, "denominator": 12688, "simplified_numerator": 375, "simplified_denominator": 793, "reduction_factor": 16, "style": "latex_inline", "factor": 16, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 24158/89488 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "257/952", "metadata": {"source_dataset": "fraction_simplification", "source_index": 585, "numerator": 24158, "denominator": 89488, "simplified_numerator": 257, "simplified_denominator": 952, "reduction_factor": 94, "style": "plain", "factor": 94, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 4884/10800 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "407/900", "metadata": {"source_dataset": "fraction_simplification", "source_index": 586, "numerator": 4884, "denominator": 10800, "simplified_numerator": 407, "simplified_denominator": 900, "reduction_factor": 12, "style": "plain", "factor": 12, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 3528/20223 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "56/321", "metadata": {"source_dataset": "fraction_simplification", "source_index": 587, "numerator": 3528, "denominator": 20223, "simplified_numerator": 56, "simplified_denominator": 321, "reduction_factor": 63, "style": "plain", "factor": 63, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 10335/30355 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "159/467", "metadata": {"source_dataset": "fraction_simplification", "source_index": 588, "numerator": 10335, "denominator": 30355, "simplified_numerator": 159, "simplified_denominator": 467, "reduction_factor": 65, "style": "plain", "factor": 65, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $12804/35728$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$291/812$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 589, "numerator": 12804, "denominator": 35728, "simplified_numerator": 291, "simplified_denominator": 812, "reduction_factor": 44, "style": "latex_inline", "factor": 44, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 16491/25944 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "239/376", "metadata": {"source_dataset": "fraction_simplification", "source_index": 590, "numerator": 16491, "denominator": 25944, "simplified_numerator": 239, "simplified_denominator": 376, "reduction_factor": 69, "style": "plain", "factor": 69, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{161}{1330}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{23}{190}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 591, "numerator": 161, "denominator": 1330, "simplified_numerator": 23, "simplified_denominator": 190, "reduction_factor": 7, "style": "latex_frac", "factor": 7, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 11004/18900 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "131/225", "metadata": {"source_dataset": "fraction_simplification", "source_index": 592, "numerator": 11004, "denominator": 18900, "simplified_numerator": 131, "simplified_denominator": 225, "reduction_factor": 84, "style": "plain", "factor": 84, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{35300}{35400}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{353}{354}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 593, "numerator": 35300, "denominator": 35400, "simplified_numerator": 353, "simplified_denominator": 354, "reduction_factor": 100, "style": "latex_dfrac", "factor": 100, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $205/944$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$205/944$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 594, "numerator": 205, "denominator": 944, "simplified_numerator": 205, "simplified_denominator": 944, "reduction_factor": 1, "style": "latex_inline", "factor": 1, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $7140/17605$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$204/503$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 595, "numerator": 7140, "denominator": 17605, "simplified_numerator": 204, "simplified_denominator": 503, "reduction_factor": 35, "style": "latex_inline", "factor": 35, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{14579}{39467}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{239}{647}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 596, "numerator": 14579, "denominator": 39467, "simplified_numerator": 239, "simplified_denominator": 647, "reduction_factor": 61, "style": "latex_frac", "factor": 61, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{57275}{64701}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{725}{819}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 597, "numerator": 57275, "denominator": 64701, "simplified_numerator": 725, "simplified_denominator": 819, "reduction_factor": 79, "style": "latex_dfrac", "factor": 79, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $1121/40179$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$19/681$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 598, "numerator": 1121, "denominator": 40179, "simplified_numerator": 19, "simplified_denominator": 681, "reduction_factor": 59, "style": "latex_inline", "factor": 59, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 784/1938 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "392/969", "metadata": {"source_dataset": "fraction_simplification", "source_index": 599, "numerator": 784, "denominator": 1938, "simplified_numerator": 392, "simplified_denominator": 969, "reduction_factor": 2, "style": "plain", "factor": 2, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{22341}{32670}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{677}{990}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 600, "numerator": 22341, "denominator": 32670, "simplified_numerator": 677, "simplified_denominator": 990, "reduction_factor": 33, "style": "latex_dfrac", "factor": 33, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{9400}{15850}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{188}{317}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 601, "numerator": 9400, "denominator": 15850, "simplified_numerator": 188, "simplified_denominator": 317, "reduction_factor": 50, "style": "latex_frac", "factor": 50, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 18200/27888 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "325/498", "metadata": {"source_dataset": "fraction_simplification", "source_index": 602, "numerator": 18200, "denominator": 27888, "simplified_numerator": 325, "simplified_denominator": 498, "reduction_factor": 56, "style": "plain", "factor": 56, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{2020}{6380}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{101}{319}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 603, "numerator": 2020, "denominator": 6380, "simplified_numerator": 101, "simplified_denominator": 319, "reduction_factor": 20, "style": "latex_dfrac", "factor": 20, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{44612}{71516}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{587}{941}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 604, "numerator": 44612, "denominator": 71516, "simplified_numerator": 587, "simplified_denominator": 941, "reduction_factor": 76, "style": "latex_frac", "factor": 76, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{5250}{7210}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{75}{103}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 605, "numerator": 5250, "denominator": 7210, "simplified_numerator": 75, "simplified_denominator": 103, "reduction_factor": 70, "style": "latex_frac", "factor": 70, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{13542}{48692}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{183}{658}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 606, "numerator": 13542, "denominator": 48692, "simplified_numerator": 183, "simplified_denominator": 658, "reduction_factor": 74, "style": "latex_frac", "factor": 74, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{1334}{2116}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{29}{46}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 607, "numerator": 1334, "denominator": 2116, "simplified_numerator": 29, "simplified_denominator": 46, "reduction_factor": 46, "style": "latex_dfrac", "factor": 46, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $28336/59928$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$322/681$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 608, "numerator": 28336, "denominator": 59928, "simplified_numerator": 322, "simplified_denominator": 681, "reduction_factor": 88, "style": "latex_inline", "factor": 88, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $657/12410$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$9/170$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 609, "numerator": 657, "denominator": 12410, "simplified_numerator": 9, "simplified_denominator": 170, "reduction_factor": 73, "style": "latex_inline", "factor": 73, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{5550}{20175}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{74}{269}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 610, "numerator": 5550, "denominator": 20175, "simplified_numerator": 74, "simplified_denominator": 269, "reduction_factor": 75, "style": "latex_dfrac", "factor": 75, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $24256/29056$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$379/454$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 611, "numerator": 24256, "denominator": 29056, "simplified_numerator": 379, "simplified_denominator": 454, "reduction_factor": 64, "style": "latex_inline", "factor": 64, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{7250}{8450}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{145}{169}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 612, "numerator": 7250, "denominator": 8450, "simplified_numerator": 145, "simplified_denominator": 169, "reduction_factor": 50, "style": "latex_frac", "factor": 50, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{475}{10500}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{19}{420}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 613, "numerator": 475, "denominator": 10500, "simplified_numerator": 19, "simplified_denominator": 420, "reduction_factor": 25, "style": "latex_frac", "factor": 25, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{60016}{63976}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{682}{727}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 614, "numerator": 60016, "denominator": 63976, "simplified_numerator": 682, "simplified_denominator": 727, "reduction_factor": 88, "style": "latex_dfrac", "factor": 88, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{5346}{10065}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{162}{305}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 615, "numerator": 5346, "denominator": 10065, "simplified_numerator": 162, "simplified_denominator": 305, "reduction_factor": 33, "style": "latex_frac", "factor": 33, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{1413}{2619}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{157}{291}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 616, "numerator": 1413, "denominator": 2619, "simplified_numerator": 157, "simplified_denominator": 291, "reduction_factor": 9, "style": "latex_dfrac", "factor": 9, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{29700}{73557}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{300}{743}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 617, "numerator": 29700, "denominator": 73557, "simplified_numerator": 300, "simplified_denominator": 743, "reduction_factor": 99, "style": "latex_dfrac", "factor": 99, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{1411}{57187}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{17}{689}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 618, "numerator": 1411, "denominator": 57187, "simplified_numerator": 17, "simplified_denominator": 689, "reduction_factor": 83, "style": "latex_dfrac", "factor": 83, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{9666}{51246}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{179}{949}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 619, "numerator": 9666, "denominator": 51246, "simplified_numerator": 179, "simplified_denominator": 949, "reduction_factor": 54, "style": "latex_frac", "factor": 54, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $36/200$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$9/50$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 620, "numerator": 36, "denominator": 200, "simplified_numerator": 9, "simplified_denominator": 50, "reduction_factor": 4, "style": "latex_inline", "factor": 4, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 11139/14378 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "141/182", "metadata": {"source_dataset": "fraction_simplification", "source_index": 621, "numerator": 11139, "denominator": 14378, "simplified_numerator": 141, "simplified_denominator": 182, "reduction_factor": 79, "style": "plain", "factor": 79, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{9636}{10626}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{146}{161}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 622, "numerator": 9636, "denominator": 10626, "simplified_numerator": 146, "simplified_denominator": 161, "reduction_factor": 66, "style": "latex_dfrac", "factor": 66, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{5340}{6330}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{178}{211}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 623, "numerator": 5340, "denominator": 6330, "simplified_numerator": 178, "simplified_denominator": 211, "reduction_factor": 30, "style": "latex_dfrac", "factor": 30, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{11466}{22687}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{234}{463}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 624, "numerator": 11466, "denominator": 22687, "simplified_numerator": 234, "simplified_denominator": 463, "reduction_factor": 49, "style": "latex_dfrac", "factor": 49, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{5936}{32200}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{106}{575}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 625, "numerator": 5936, "denominator": 32200, "simplified_numerator": 106, "simplified_denominator": 575, "reduction_factor": 56, "style": "latex_dfrac", "factor": 56, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{186}{711}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{62}{237}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 626, "numerator": 186, "denominator": 711, "simplified_numerator": 62, "simplified_denominator": 237, "reduction_factor": 3, "style": "latex_dfrac", "factor": 3, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{10385}{20636}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{155}{308}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 627, "numerator": 10385, "denominator": 20636, "simplified_numerator": 155, "simplified_denominator": 308, "reduction_factor": 67, "style": "latex_dfrac", "factor": 67, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $34390/55005$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$362/579$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 628, "numerator": 34390, "denominator": 55005, "simplified_numerator": 362, "simplified_denominator": 579, "reduction_factor": 95, "style": "latex_inline", "factor": 95, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{5418}{7398}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{301}{411}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 629, "numerator": 5418, "denominator": 7398, "simplified_numerator": 301, "simplified_denominator": 411, "reduction_factor": 18, "style": "latex_dfrac", "factor": 18, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $532/3052$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$19/109$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 630, "numerator": 532, "denominator": 3052, "simplified_numerator": 19, "simplified_denominator": 109, "reduction_factor": 28, "style": "latex_inline", "factor": 28, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{21344}{31494}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{368}{543}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 631, "numerator": 21344, "denominator": 31494, "simplified_numerator": 368, "simplified_denominator": 543, "reduction_factor": 58, "style": "latex_dfrac", "factor": 58, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $473/2288$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$43/208$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 632, "numerator": 473, "denominator": 2288, "simplified_numerator": 43, "simplified_denominator": 208, "reduction_factor": 11, "style": "latex_inline", "factor": 11, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{4770}{18585}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{106}{413}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 633, "numerator": 4770, "denominator": 18585, "simplified_numerator": 106, "simplified_denominator": 413, "reduction_factor": 45, "style": "latex_dfrac", "factor": 45, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{2666}{72412}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{31}{842}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 634, "numerator": 2666, "denominator": 72412, "simplified_numerator": 31, "simplified_denominator": 842, "reduction_factor": 86, "style": "latex_dfrac", "factor": 86, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 1909/17845 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "23/215", "metadata": {"source_dataset": "fraction_simplification", "source_index": 635, "numerator": 1909, "denominator": 17845, "simplified_numerator": 23, "simplified_denominator": 215, "reduction_factor": 83, "style": "plain", "factor": 83, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 4633/37269 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "113/909", "metadata": {"source_dataset": "fraction_simplification", "source_index": 636, "numerator": 4633, "denominator": 37269, "simplified_numerator": 113, "simplified_denominator": 909, "reduction_factor": 41, "style": "plain", "factor": 41, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{52182}{73086}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{669}{937}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 637, "numerator": 52182, "denominator": 73086, "simplified_numerator": 669, "simplified_denominator": 937, "reduction_factor": 78, "style": "latex_dfrac", "factor": 78, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $19076/23864$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$251/314$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 638, "numerator": 19076, "denominator": 23864, "simplified_numerator": 251, "simplified_denominator": 314, "reduction_factor": 76, "style": "latex_inline", "factor": 76, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 17384/29397 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "424/717", "metadata": {"source_dataset": "fraction_simplification", "source_index": 639, "numerator": 17384, "denominator": 29397, "simplified_numerator": 424, "simplified_denominator": 717, "reduction_factor": 41, "style": "plain", "factor": 41, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 3120/7046 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "120/271", "metadata": {"source_dataset": "fraction_simplification", "source_index": 640, "numerator": 3120, "denominator": 7046, "simplified_numerator": 120, "simplified_denominator": 271, "reduction_factor": 26, "style": "plain", "factor": 26, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{510}{965}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{102}{193}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 641, "numerator": 510, "denominator": 965, "simplified_numerator": 102, "simplified_denominator": 193, "reduction_factor": 5, "style": "latex_frac", "factor": 5, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{31044}{52650}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{398}{675}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 642, "numerator": 31044, "denominator": 52650, "simplified_numerator": 398, "simplified_denominator": 675, "reduction_factor": 78, "style": "latex_dfrac", "factor": 78, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $3355/9141$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$305/831$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 643, "numerator": 3355, "denominator": 9141, "simplified_numerator": 305, "simplified_denominator": 831, "reduction_factor": 11, "style": "latex_inline", "factor": 11, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{37191}{62100}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{539}{900}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 644, "numerator": 37191, "denominator": 62100, "simplified_numerator": 539, "simplified_denominator": 900, "reduction_factor": 69, "style": "latex_frac", "factor": 69, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{7488}{17622}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{416}{979}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 645, "numerator": 7488, "denominator": 17622, "simplified_numerator": 416, "simplified_denominator": 979, "reduction_factor": 18, "style": "latex_dfrac", "factor": 18, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{78470}{87495}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{826}{921}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 646, "numerator": 78470, "denominator": 87495, "simplified_numerator": 826, "simplified_denominator": 921, "reduction_factor": 95, "style": "latex_frac", "factor": 95, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 1763/6708 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "41/156", "metadata": {"source_dataset": "fraction_simplification", "source_index": 647, "numerator": 1763, "denominator": 6708, "simplified_numerator": 41, "simplified_denominator": 156, "reduction_factor": 43, "style": "plain", "factor": 43, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $20100/44340$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$335/739$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 648, "numerator": 20100, "denominator": 44340, "simplified_numerator": 335, "simplified_denominator": 739, "reduction_factor": 60, "style": "latex_inline", "factor": 60, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 1309/6001 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "77/353", "metadata": {"source_dataset": "fraction_simplification", "source_index": 649, "numerator": 1309, "denominator": 6001, "simplified_numerator": 77, "simplified_denominator": 353, "reduction_factor": 17, "style": "plain", "factor": 17, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $415/14857$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$5/179$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 650, "numerator": 415, "denominator": 14857, "simplified_numerator": 5, "simplified_denominator": 179, "reduction_factor": 83, "style": "latex_inline", "factor": 83, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{75}{150}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{1}{2}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 651, "numerator": 75, "denominator": 150, "simplified_numerator": 1, "simplified_denominator": 2, "reduction_factor": 75, "style": "latex_frac", "factor": 75, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 8676/12960 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "241/360", "metadata": {"source_dataset": "fraction_simplification", "source_index": 652, "numerator": 8676, "denominator": 12960, "simplified_numerator": 241, "simplified_denominator": 360, "reduction_factor": 36, "style": "plain", "factor": 36, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{10880}{23904}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{340}{747}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 653, "numerator": 10880, "denominator": 23904, "simplified_numerator": 340, "simplified_denominator": 747, "reduction_factor": 32, "style": "latex_frac", "factor": 32, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{5332}{26629}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{172}{859}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 654, "numerator": 5332, "denominator": 26629, "simplified_numerator": 172, "simplified_denominator": 859, "reduction_factor": 31, "style": "latex_dfrac", "factor": 31, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{8}{32}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{1}{4}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 655, "numerator": 8, "denominator": 32, "simplified_numerator": 1, "simplified_denominator": 4, "reduction_factor": 8, "style": "latex_frac", "factor": 8, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{37929}{41407}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{807}{881}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 656, "numerator": 37929, "denominator": 41407, "simplified_numerator": 807, "simplified_denominator": 881, "reduction_factor": 47, "style": "latex_dfrac", "factor": 47, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 20501/31208 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "247/376", "metadata": {"source_dataset": "fraction_simplification", "source_index": 657, "numerator": 20501, "denominator": 31208, "simplified_numerator": 247, "simplified_denominator": 376, "reduction_factor": 83, "style": "plain", "factor": 83, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{4275}{23125}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{171}{925}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 658, "numerator": 4275, "denominator": 23125, "simplified_numerator": 171, "simplified_denominator": 925, "reduction_factor": 25, "style": "latex_dfrac", "factor": 25, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 18368/49024 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "287/766", "metadata": {"source_dataset": "fraction_simplification", "source_index": 659, "numerator": 18368, "denominator": 49024, "simplified_numerator": 287, "simplified_denominator": 766, "reduction_factor": 64, "style": "plain", "factor": 64, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $5418/5488$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$387/392$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 660, "numerator": 5418, "denominator": 5488, "simplified_numerator": 387, "simplified_denominator": 392, "reduction_factor": 14, "style": "latex_inline", "factor": 14, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{520}{3260}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{26}{163}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 661, "numerator": 520, "denominator": 3260, "simplified_numerator": 26, "simplified_denominator": 163, "reduction_factor": 20, "style": "latex_dfrac", "factor": 20, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{15312}{20688}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{319}{431}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 662, "numerator": 15312, "denominator": 20688, "simplified_numerator": 319, "simplified_denominator": 431, "reduction_factor": 48, "style": "latex_frac", "factor": 48, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{532}{1598}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{266}{799}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 663, "numerator": 532, "denominator": 1598, "simplified_numerator": 266, "simplified_denominator": 799, "reduction_factor": 2, "style": "latex_frac", "factor": 2, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{5440}{7786}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{160}{229}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 664, "numerator": 5440, "denominator": 7786, "simplified_numerator": 160, "simplified_denominator": 229, "reduction_factor": 34, "style": "latex_dfrac", "factor": 34, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{1539}{50301}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{19}{621}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 665, "numerator": 1539, "denominator": 50301, "simplified_numerator": 19, "simplified_denominator": 621, "reduction_factor": 81, "style": "latex_frac", "factor": 81, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{12160}{83885}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{128}{883}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 666, "numerator": 12160, "denominator": 83885, "simplified_numerator": 128, "simplified_denominator": 883, "reduction_factor": 95, "style": "latex_frac", "factor": 95, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 19145/24850 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "547/710", "metadata": {"source_dataset": "fraction_simplification", "source_index": 667, "numerator": 19145, "denominator": 24850, "simplified_numerator": 547, "simplified_denominator": 710, "reduction_factor": 35, "style": "plain", "factor": 35, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{28080}{50616}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{390}{703}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 668, "numerator": 28080, "denominator": 50616, "simplified_numerator": 390, "simplified_denominator": 703, "reduction_factor": 72, "style": "latex_dfrac", "factor": 72, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{3621}{4590}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{71}{90}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 669, "numerator": 3621, "denominator": 4590, "simplified_numerator": 71, "simplified_denominator": 90, "reduction_factor": 51, "style": "latex_dfrac", "factor": 51, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{19136}{40832}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{299}{638}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 670, "numerator": 19136, "denominator": 40832, "simplified_numerator": 299, "simplified_denominator": 638, "reduction_factor": 64, "style": "latex_dfrac", "factor": 64, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{14800}{24161}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{400}{653}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 671, "numerator": 14800, "denominator": 24161, "simplified_numerator": 400, "simplified_denominator": 653, "reduction_factor": 37, "style": "latex_frac", "factor": 37, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{45}{297}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{5}{33}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 672, "numerator": 45, "denominator": 297, "simplified_numerator": 5, "simplified_denominator": 33, "reduction_factor": 9, "style": "latex_frac", "factor": 9, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $1540/10520$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$77/526$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 673, "numerator": 1540, "denominator": 10520, "simplified_numerator": 77, "simplified_denominator": 526, "reduction_factor": 20, "style": "latex_inline", "factor": 20, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $15960/45505$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$168/479$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 674, "numerator": 15960, "denominator": 45505, "simplified_numerator": 168, "simplified_denominator": 479, "reduction_factor": 95, "style": "latex_inline", "factor": 95, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $4880/13900$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$244/695$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 675, "numerator": 4880, "denominator": 13900, "simplified_numerator": 244, "simplified_denominator": 695, "reduction_factor": 20, "style": "latex_inline", "factor": 20, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $21627/62532$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$267/772$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 676, "numerator": 21627, "denominator": 62532, "simplified_numerator": 267, "simplified_denominator": 772, "reduction_factor": 81, "style": "latex_inline", "factor": 81, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 25560/89190 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "284/991", "metadata": {"source_dataset": "fraction_simplification", "source_index": 677, "numerator": 25560, "denominator": 89190, "simplified_numerator": 284, "simplified_denominator": 991, "reduction_factor": 90, "style": "plain", "factor": 90, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 15320/19700 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "766/985", "metadata": {"source_dataset": "fraction_simplification", "source_index": 678, "numerator": 15320, "denominator": 19700, "simplified_numerator": 766, "simplified_denominator": 985, "reduction_factor": 20, "style": "plain", "factor": 20, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $8374/39591$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$158/747$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 679, "numerator": 8374, "denominator": 39591, "simplified_numerator": 158, "simplified_denominator": 747, "reduction_factor": 53, "style": "latex_inline", "factor": 53, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $6260/7140$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$313/357$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 680, "numerator": 6260, "denominator": 7140, "simplified_numerator": 313, "simplified_denominator": 357, "reduction_factor": 20, "style": "latex_inline", "factor": 20, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{1215}{3753}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{45}{139}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 681, "numerator": 1215, "denominator": 3753, "simplified_numerator": 45, "simplified_denominator": 139, "reduction_factor": 27, "style": "latex_frac", "factor": 27, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 9462/11362 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "249/299", "metadata": {"source_dataset": "fraction_simplification", "source_index": 682, "numerator": 9462, "denominator": 11362, "simplified_numerator": 249, "simplified_denominator": 299, "reduction_factor": 38, "style": "plain", "factor": 38, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 308/1785 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "44/255", "metadata": {"source_dataset": "fraction_simplification", "source_index": 683, "numerator": 308, "denominator": 1785, "simplified_numerator": 44, "simplified_denominator": 255, "reduction_factor": 7, "style": "plain", "factor": 7, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{6210}{17756}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{135}{386}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 684, "numerator": 6210, "denominator": 17756, "simplified_numerator": 135, "simplified_denominator": 386, "reduction_factor": 46, "style": "latex_dfrac", "factor": 46, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 11902/19778 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "541/899", "metadata": {"source_dataset": "fraction_simplification", "source_index": 685, "numerator": 11902, "denominator": 19778, "simplified_numerator": 541, "simplified_denominator": 899, "reduction_factor": 22, "style": "plain", "factor": 22, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 2394/53637 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "42/941", "metadata": {"source_dataset": "fraction_simplification", "source_index": 686, "numerator": 2394, "denominator": 53637, "simplified_numerator": 42, "simplified_denominator": 941, "reduction_factor": 57, "style": "plain", "factor": 57, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 12768/27322 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "336/719", "metadata": {"source_dataset": "fraction_simplification", "source_index": 687, "numerator": 12768, "denominator": 27322, "simplified_numerator": 336, "simplified_denominator": 719, "reduction_factor": 38, "style": "plain", "factor": 38, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{10080}{24880}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{126}{311}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 688, "numerator": 10080, "denominator": 24880, "simplified_numerator": 126, "simplified_denominator": 311, "reduction_factor": 80, "style": "latex_frac", "factor": 80, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 1620/16650 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "18/185", "metadata": {"source_dataset": "fraction_simplification", "source_index": 689, "numerator": 1620, "denominator": 16650, "simplified_numerator": 18, "simplified_denominator": 185, "reduction_factor": 90, "style": "plain", "factor": 90, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $6200/33950$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$124/679$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 690, "numerator": 6200, "denominator": 33950, "simplified_numerator": 124, "simplified_denominator": 679, "reduction_factor": 50, "style": "latex_inline", "factor": 50, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{35014}{76260}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{427}{930}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 691, "numerator": 35014, "denominator": 76260, "simplified_numerator": 427, "simplified_denominator": 930, "reduction_factor": 82, "style": "latex_dfrac", "factor": 82, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{11866}{23698}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{349}{697}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 692, "numerator": 11866, "denominator": 23698, "simplified_numerator": 349, "simplified_denominator": 697, "reduction_factor": 34, "style": "latex_frac", "factor": 34, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 3706/6953 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "218/409", "metadata": {"source_dataset": "fraction_simplification", "source_index": 693, "numerator": 3706, "denominator": 6953, "simplified_numerator": 218, "simplified_denominator": 409, "reduction_factor": 17, "style": "plain", "factor": 17, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 180/650 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "18/65", "metadata": {"source_dataset": "fraction_simplification", "source_index": 694, "numerator": 180, "denominator": 650, "simplified_numerator": 18, "simplified_denominator": 65, "reduction_factor": 10, "style": "plain", "factor": 10, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 75/14650 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "3/586", "metadata": {"source_dataset": "fraction_simplification", "source_index": 695, "numerator": 75, "denominator": 14650, "simplified_numerator": 3, "simplified_denominator": 586, "reduction_factor": 25, "style": "plain", "factor": 25, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{672}{3492}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{56}{291}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 696, "numerator": 672, "denominator": 3492, "simplified_numerator": 56, "simplified_denominator": 291, "reduction_factor": 12, "style": "latex_frac", "factor": 12, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{8900}{33909}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{100}{381}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 697, "numerator": 8900, "denominator": 33909, "simplified_numerator": 100, "simplified_denominator": 381, "reduction_factor": 89, "style": "latex_frac", "factor": 89, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{3534}{4794}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{589}{799}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 698, "numerator": 3534, "denominator": 4794, "simplified_numerator": 589, "simplified_denominator": 799, "reduction_factor": 6, "style": "latex_frac", "factor": 6, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 15436/58004 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "227/853", "metadata": {"source_dataset": "fraction_simplification", "source_index": 699, "numerator": 15436, "denominator": 58004, "simplified_numerator": 227, "simplified_denominator": 853, "reduction_factor": 68, "style": "plain", "factor": 68, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $8520/19840$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$213/496$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 700, "numerator": 8520, "denominator": 19840, "simplified_numerator": 213, "simplified_denominator": 496, "reduction_factor": 40, "style": "latex_inline", "factor": 40, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 26529/34484 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "717/932", "metadata": {"source_dataset": "fraction_simplification", "source_index": 701, "numerator": 26529, "denominator": 34484, "simplified_numerator": 717, "simplified_denominator": 932, "reduction_factor": 37, "style": "plain", "factor": 37, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{21873}{55407}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{317}{803}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 702, "numerator": 21873, "denominator": 55407, "simplified_numerator": 317, "simplified_denominator": 803, "reduction_factor": 69, "style": "latex_frac", "factor": 69, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{19436}{60974}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{226}{709}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 703, "numerator": 19436, "denominator": 60974, "simplified_numerator": 226, "simplified_denominator": 709, "reduction_factor": 86, "style": "latex_frac", "factor": 86, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{9114}{10773}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{434}{513}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 704, "numerator": 9114, "denominator": 10773, "simplified_numerator": 434, "simplified_denominator": 513, "reduction_factor": 21, "style": "latex_dfrac", "factor": 21, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 486/1539 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "6/19", "metadata": {"source_dataset": "fraction_simplification", "source_index": 705, "numerator": 486, "denominator": 1539, "simplified_numerator": 6, "simplified_denominator": 19, "reduction_factor": 81, "style": "plain", "factor": 81, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{84}{210}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{2}{5}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 706, "numerator": 84, "denominator": 210, "simplified_numerator": 2, "simplified_denominator": 5, "reduction_factor": 42, "style": "latex_frac", "factor": 42, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{40629}{67773}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{467}{779}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 707, "numerator": 40629, "denominator": 67773, "simplified_numerator": 467, "simplified_denominator": 779, "reduction_factor": 87, "style": "latex_dfrac", "factor": 87, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $6030/7884$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$335/438$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 708, "numerator": 6030, "denominator": 7884, "simplified_numerator": 335, "simplified_denominator": 438, "reduction_factor": 18, "style": "latex_inline", "factor": 18, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 49915/51724 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "745/772", "metadata": {"source_dataset": "fraction_simplification", "source_index": 709, "numerator": 49915, "denominator": 51724, "simplified_numerator": 745, "simplified_denominator": 772, "reduction_factor": 67, "style": "plain", "factor": 67, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 49197/92628 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "529/996", "metadata": {"source_dataset": "fraction_simplification", "source_index": 710, "numerator": 49197, "denominator": 92628, "simplified_numerator": 529, "simplified_denominator": 996, "reduction_factor": 93, "style": "plain", "factor": 93, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{1870}{3920}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{187}{392}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 711, "numerator": 1870, "denominator": 3920, "simplified_numerator": 187, "simplified_denominator": 392, "reduction_factor": 10, "style": "latex_frac", "factor": 10, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $5888/24384$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$92/381$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 712, "numerator": 5888, "denominator": 24384, "simplified_numerator": 92, "simplified_denominator": 381, "reduction_factor": 64, "style": "latex_inline", "factor": 64, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{27768}{46540}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{534}{895}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 713, "numerator": 27768, "denominator": 46540, "simplified_numerator": 534, "simplified_denominator": 895, "reduction_factor": 52, "style": "latex_frac", "factor": 52, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{16485}{31220}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{471}{892}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 714, "numerator": 16485, "denominator": 31220, "simplified_numerator": 471, "simplified_denominator": 892, "reduction_factor": 35, "style": "latex_frac", "factor": 35, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{696}{936}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{29}{39}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 715, "numerator": 696, "denominator": 936, "simplified_numerator": 29, "simplified_denominator": 39, "reduction_factor": 24, "style": "latex_dfrac", "factor": 24, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{884}{4624}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{13}{68}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 716, "numerator": 884, "denominator": 4624, "simplified_numerator": 13, "simplified_denominator": 68, "reduction_factor": 68, "style": "latex_frac", "factor": 68, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{610}{5520}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{61}{552}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 717, "numerator": 610, "denominator": 5520, "simplified_numerator": 61, "simplified_denominator": 552, "reduction_factor": 10, "style": "latex_frac", "factor": 10, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 4708/6072 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "107/138", "metadata": {"source_dataset": "fraction_simplification", "source_index": 718, "numerator": 4708, "denominator": 6072, "simplified_numerator": 107, "simplified_denominator": 138, "reduction_factor": 44, "style": "plain", "factor": 44, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $1100/3000$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$11/30$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 719, "numerator": 1100, "denominator": 3000, "simplified_numerator": 11, "simplified_denominator": 30, "reduction_factor": 100, "style": "latex_inline", "factor": 100, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $31248/47280$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$651/985$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 720, "numerator": 31248, "denominator": 47280, "simplified_numerator": 651, "simplified_denominator": 985, "reduction_factor": 48, "style": "latex_inline", "factor": 48, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 448/10176 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "7/159", "metadata": {"source_dataset": "fraction_simplification", "source_index": 721, "numerator": 448, "denominator": 10176, "simplified_numerator": 7, "simplified_denominator": 159, "reduction_factor": 64, "style": "plain", "factor": 64, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 14385/19173 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "685/913", "metadata": {"source_dataset": "fraction_simplification", "source_index": 722, "numerator": 14385, "denominator": 19173, "simplified_numerator": 685, "simplified_denominator": 913, "reduction_factor": 21, "style": "plain", "factor": 21, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{1120}{15712}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{35}{491}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 723, "numerator": 1120, "denominator": 15712, "simplified_numerator": 35, "simplified_denominator": 491, "reduction_factor": 32, "style": "latex_dfrac", "factor": 32, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{4147}{12267}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{143}{423}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 724, "numerator": 4147, "denominator": 12267, "simplified_numerator": 143, "simplified_denominator": 423, "reduction_factor": 29, "style": "latex_frac", "factor": 29, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 40083/42780 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "431/460", "metadata": {"source_dataset": "fraction_simplification", "source_index": 725, "numerator": 40083, "denominator": 42780, "simplified_numerator": 431, "simplified_denominator": 460, "reduction_factor": 93, "style": "plain", "factor": 93, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{5310}{15871}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{90}{269}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 726, "numerator": 5310, "denominator": 15871, "simplified_numerator": 90, "simplified_denominator": 269, "reduction_factor": 59, "style": "latex_frac", "factor": 59, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 948/13351 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "12/169", "metadata": {"source_dataset": "fraction_simplification", "source_index": 727, "numerator": 948, "denominator": 13351, "simplified_numerator": 12, "simplified_denominator": 169, "reduction_factor": 79, "style": "plain", "factor": 79, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{18200}{39100}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{182}{391}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 728, "numerator": 18200, "denominator": 39100, "simplified_numerator": 182, "simplified_denominator": 391, "reduction_factor": 100, "style": "latex_dfrac", "factor": 100, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $7700/19940$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$385/997$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 729, "numerator": 7700, "denominator": 19940, "simplified_numerator": 385, "simplified_denominator": 997, "reduction_factor": 20, "style": "latex_inline", "factor": 20, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{1917}{16046}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{27}{226}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 730, "numerator": 1917, "denominator": 16046, "simplified_numerator": 27, "simplified_denominator": 226, "reduction_factor": 71, "style": "latex_frac", "factor": 71, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{15399}{44283}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{177}{509}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 731, "numerator": 15399, "denominator": 44283, "simplified_numerator": 177, "simplified_denominator": 509, "reduction_factor": 87, "style": "latex_frac", "factor": 87, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{208}{4944}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{13}{309}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 732, "numerator": 208, "denominator": 4944, "simplified_numerator": 13, "simplified_denominator": 309, "reduction_factor": 16, "style": "latex_dfrac", "factor": 16, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $1494/2733$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$498/911$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 733, "numerator": 1494, "denominator": 2733, "simplified_numerator": 498, "simplified_denominator": 911, "reduction_factor": 3, "style": "latex_inline", "factor": 3, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{2574}{4524}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{33}{58}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 734, "numerator": 2574, "denominator": 4524, "simplified_numerator": 33, "simplified_denominator": 58, "reduction_factor": 78, "style": "latex_dfrac", "factor": 78, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{13630}{26506}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{235}{457}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 735, "numerator": 13630, "denominator": 26506, "simplified_numerator": 235, "simplified_denominator": 457, "reduction_factor": 58, "style": "latex_frac", "factor": 58, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{187}{1530}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{11}{90}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 736, "numerator": 187, "denominator": 1530, "simplified_numerator": 11, "simplified_denominator": 90, "reduction_factor": 17, "style": "latex_frac", "factor": 17, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{12857}{13271}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{559}{577}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 737, "numerator": 12857, "denominator": 13271, "simplified_numerator": 559, "simplified_denominator": 577, "reduction_factor": 23, "style": "latex_dfrac", "factor": 23, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $8694/30408$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$207/724$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 738, "numerator": 8694, "denominator": 30408, "simplified_numerator": 207, "simplified_denominator": 724, "reduction_factor": 42, "style": "latex_inline", "factor": 42, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $3796/4420$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$73/85$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 739, "numerator": 3796, "denominator": 4420, "simplified_numerator": 73, "simplified_denominator": 85, "reduction_factor": 52, "style": "latex_inline", "factor": 52, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{1881}{11319}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{57}{343}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 740, "numerator": 1881, "denominator": 11319, "simplified_numerator": 57, "simplified_denominator": 343, "reduction_factor": 33, "style": "latex_frac", "factor": 33, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $15764/17136$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$563/612$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 741, "numerator": 15764, "denominator": 17136, "simplified_numerator": 563, "simplified_denominator": 612, "reduction_factor": 28, "style": "latex_inline", "factor": 28, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 2886/6396 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "37/82", "metadata": {"source_dataset": "fraction_simplification", "source_index": 742, "numerator": 2886, "denominator": 6396, "simplified_numerator": 37, "simplified_denominator": 82, "reduction_factor": 78, "style": "plain", "factor": 78, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{2328}{12672}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{97}{528}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 743, "numerator": 2328, "denominator": 12672, "simplified_numerator": 97, "simplified_denominator": 528, "reduction_factor": 24, "style": "latex_dfrac", "factor": 24, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{665}{1449}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{95}{207}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 744, "numerator": 665, "denominator": 1449, "simplified_numerator": 95, "simplified_denominator": 207, "reduction_factor": 7, "style": "latex_frac", "factor": 7, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{25434}{39609}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{314}{489}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 745, "numerator": 25434, "denominator": 39609, "simplified_numerator": 314, "simplified_denominator": 489, "reduction_factor": 81, "style": "latex_dfrac", "factor": 81, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{990}{1202}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{495}{601}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 746, "numerator": 990, "denominator": 1202, "simplified_numerator": 495, "simplified_denominator": 601, "reduction_factor": 2, "style": "latex_frac", "factor": 2, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 40262/59368 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "491/724", "metadata": {"source_dataset": "fraction_simplification", "source_index": 747, "numerator": 40262, "denominator": 59368, "simplified_numerator": 491, "simplified_denominator": 724, "reduction_factor": 82, "style": "plain", "factor": 82, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{60915}{83514}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{655}{898}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 748, "numerator": 60915, "denominator": 83514, "simplified_numerator": 655, "simplified_denominator": 898, "reduction_factor": 93, "style": "latex_frac", "factor": 93, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 16247/53284 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "211/692", "metadata": {"source_dataset": "fraction_simplification", "source_index": 749, "numerator": 16247, "denominator": 53284, "simplified_numerator": 211, "simplified_denominator": 692, "reduction_factor": 77, "style": "plain", "factor": 77, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{53300}{58600}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{533}{586}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 750, "numerator": 53300, "denominator": 58600, "simplified_numerator": 533, "simplified_denominator": 586, "reduction_factor": 100, "style": "latex_dfrac", "factor": 100, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{30144}{39264}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{314}{409}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 751, "numerator": 30144, "denominator": 39264, "simplified_numerator": 314, "simplified_denominator": 409, "reduction_factor": 96, "style": "latex_frac", "factor": 96, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 11189/21172 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "167/316", "metadata": {"source_dataset": "fraction_simplification", "source_index": 752, "numerator": 11189, "denominator": 21172, "simplified_numerator": 167, "simplified_denominator": 316, "reduction_factor": 67, "style": "plain", "factor": 67, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{8083}{18113}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{137}{307}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 753, "numerator": 8083, "denominator": 18113, "simplified_numerator": 137, "simplified_denominator": 307, "reduction_factor": 59, "style": "latex_dfrac", "factor": 59, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{28086}{35650}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{453}{575}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 754, "numerator": 28086, "denominator": 35650, "simplified_numerator": 453, "simplified_denominator": 575, "reduction_factor": 62, "style": "latex_dfrac", "factor": 62, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $15555/23613$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$305/463$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 755, "numerator": 15555, "denominator": 23613, "simplified_numerator": 305, "simplified_denominator": 463, "reduction_factor": 51, "style": "latex_inline", "factor": 51, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 7810/11605 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "142/211", "metadata": {"source_dataset": "fraction_simplification", "source_index": 756, "numerator": 7810, "denominator": 11605, "simplified_numerator": 142, "simplified_denominator": 211, "reduction_factor": 55, "style": "plain", "factor": 55, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{16268}{74285}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{196}{895}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 757, "numerator": 16268, "denominator": 74285, "simplified_numerator": 196, "simplified_denominator": 895, "reduction_factor": 83, "style": "latex_dfrac", "factor": 83, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 38684/52288 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "509/688", "metadata": {"source_dataset": "fraction_simplification", "source_index": 758, "numerator": 38684, "denominator": 52288, "simplified_numerator": 509, "simplified_denominator": 688, "reduction_factor": 76, "style": "plain", "factor": 76, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 4968/9706 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "108/211", "metadata": {"source_dataset": "fraction_simplification", "source_index": 759, "numerator": 4968, "denominator": 9706, "simplified_numerator": 108, "simplified_denominator": 211, "reduction_factor": 46, "style": "plain", "factor": 46, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{5680}{19951}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{80}{281}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 760, "numerator": 5680, "denominator": 19951, "simplified_numerator": 80, "simplified_denominator": 281, "reduction_factor": 71, "style": "latex_frac", "factor": 71, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{441}{756}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{7}{12}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 761, "numerator": 441, "denominator": 756, "simplified_numerator": 7, "simplified_denominator": 12, "reduction_factor": 63, "style": "latex_dfrac", "factor": 63, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 28969/41477 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "491/703", "metadata": {"source_dataset": "fraction_simplification", "source_index": 762, "numerator": 28969, "denominator": 41477, "simplified_numerator": 491, "simplified_denominator": 703, "reduction_factor": 59, "style": "plain", "factor": 59, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{2250}{5060}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{225}{506}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 763, "numerator": 2250, "denominator": 5060, "simplified_numerator": 225, "simplified_denominator": 506, "reduction_factor": 10, "style": "latex_frac", "factor": 10, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{934}{1892}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{467}{946}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 764, "numerator": 934, "denominator": 1892, "simplified_numerator": 467, "simplified_denominator": 946, "reduction_factor": 2, "style": "latex_frac", "factor": 2, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $4901/9828$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$377/756$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 765, "numerator": 4901, "denominator": 9828, "simplified_numerator": 377, "simplified_denominator": 756, "reduction_factor": 13, "style": "latex_inline", "factor": 13, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{15708}{19488}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{187}{232}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 766, "numerator": 15708, "denominator": 19488, "simplified_numerator": 187, "simplified_denominator": 232, "reduction_factor": 84, "style": "latex_frac", "factor": 84, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $2548/45815$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$52/935$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 767, "numerator": 2548, "denominator": 45815, "simplified_numerator": 52, "simplified_denominator": 935, "reduction_factor": 49, "style": "latex_inline", "factor": 49, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{13542}{16502}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{183}{223}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 768, "numerator": 13542, "denominator": 16502, "simplified_numerator": 183, "simplified_denominator": 223, "reduction_factor": 74, "style": "latex_dfrac", "factor": 74, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{6298}{12127}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{94}{181}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 769, "numerator": 6298, "denominator": 12127, "simplified_numerator": 94, "simplified_denominator": 181, "reduction_factor": 67, "style": "latex_dfrac", "factor": 67, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{237}{2923}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{3}{37}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 770, "numerator": 237, "denominator": 2923, "simplified_numerator": 3, "simplified_denominator": 37, "reduction_factor": 79, "style": "latex_frac", "factor": 79, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{387}{2751}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{129}{917}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 771, "numerator": 387, "denominator": 2751, "simplified_numerator": 129, "simplified_denominator": 917, "reduction_factor": 3, "style": "latex_dfrac", "factor": 3, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $306/1309$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$18/77$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 772, "numerator": 306, "denominator": 1309, "simplified_numerator": 18, "simplified_denominator": 77, "reduction_factor": 17, "style": "latex_inline", "factor": 17, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 259/16983 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "7/459", "metadata": {"source_dataset": "fraction_simplification", "source_index": 773, "numerator": 259, "denominator": 16983, "simplified_numerator": 7, "simplified_denominator": 459, "reduction_factor": 37, "style": "plain", "factor": 37, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{2310}{8722}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{165}{623}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 774, "numerator": 2310, "denominator": 8722, "simplified_numerator": 165, "simplified_denominator": 623, "reduction_factor": 14, "style": "latex_dfrac", "factor": 14, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{5371}{25584}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{131}{624}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 775, "numerator": 5371, "denominator": 25584, "simplified_numerator": 131, "simplified_denominator": 624, "reduction_factor": 41, "style": "latex_frac", "factor": 41, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{9881}{11234}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{241}{274}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 776, "numerator": 9881, "denominator": 11234, "simplified_numerator": 241, "simplified_denominator": 274, "reduction_factor": 41, "style": "latex_dfrac", "factor": 41, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $8206/19294$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$373/877$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 777, "numerator": 8206, "denominator": 19294, "simplified_numerator": 373, "simplified_denominator": 877, "reduction_factor": 22, "style": "latex_inline", "factor": 22, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{4958}{7839}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{74}{117}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 778, "numerator": 4958, "denominator": 7839, "simplified_numerator": 74, "simplified_denominator": 117, "reduction_factor": 67, "style": "latex_dfrac", "factor": 67, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{36792}{41895}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{584}{665}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 779, "numerator": 36792, "denominator": 41895, "simplified_numerator": 584, "simplified_denominator": 665, "reduction_factor": 63, "style": "latex_frac", "factor": 63, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{2028}{16328}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{39}{314}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 780, "numerator": 2028, "denominator": 16328, "simplified_numerator": 39, "simplified_denominator": 314, "reduction_factor": 52, "style": "latex_frac", "factor": 52, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $713/1271$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$23/41$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 781, "numerator": 713, "denominator": 1271, "simplified_numerator": 23, "simplified_denominator": 41, "reduction_factor": 31, "style": "latex_inline", "factor": 31, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $64117/75757$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$661/781$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 782, "numerator": 64117, "denominator": 75757, "simplified_numerator": 661, "simplified_denominator": 781, "reduction_factor": 97, "style": "latex_inline", "factor": 97, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{26315}{62605}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{277}{659}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 783, "numerator": 26315, "denominator": 62605, "simplified_numerator": 277, "simplified_denominator": 659, "reduction_factor": 95, "style": "latex_frac", "factor": 95, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{6642}{9430}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{81}{115}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 784, "numerator": 6642, "denominator": 9430, "simplified_numerator": 81, "simplified_denominator": 115, "reduction_factor": 82, "style": "latex_frac", "factor": 82, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{13176}{30492}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{366}{847}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 785, "numerator": 13176, "denominator": 30492, "simplified_numerator": 366, "simplified_denominator": 847, "reduction_factor": 36, "style": "latex_dfrac", "factor": 36, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 2325/3162 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "25/34", "metadata": {"source_dataset": "fraction_simplification", "source_index": 786, "numerator": 2325, "denominator": 3162, "simplified_numerator": 25, "simplified_denominator": 34, "reduction_factor": 93, "style": "plain", "factor": 93, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $12932/18727$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$212/307$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 787, "numerator": 12932, "denominator": 18727, "simplified_numerator": 212, "simplified_denominator": 307, "reduction_factor": 61, "style": "latex_inline", "factor": 61, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $10682/69090$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$109/705$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 788, "numerator": 10682, "denominator": 69090, "simplified_numerator": 109, "simplified_denominator": 705, "reduction_factor": 98, "style": "latex_inline", "factor": 98, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $1404/3068$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$27/59$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 789, "numerator": 1404, "denominator": 3068, "simplified_numerator": 27, "simplified_denominator": 59, "reduction_factor": 52, "style": "latex_inline", "factor": 52, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{15610}{17500}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{223}{250}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 790, "numerator": 15610, "denominator": 17500, "simplified_numerator": 223, "simplified_denominator": 250, "reduction_factor": 70, "style": "latex_frac", "factor": 70, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{22078}{23864}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{581}{628}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 791, "numerator": 22078, "denominator": 23864, "simplified_numerator": 581, "simplified_denominator": 628, "reduction_factor": 38, "style": "latex_frac", "factor": 38, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $7878/23686$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$303/911$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 792, "numerator": 7878, "denominator": 23686, "simplified_numerator": 303, "simplified_denominator": 911, "reduction_factor": 26, "style": "latex_inline", "factor": 26, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $14536/14996$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$158/163$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 793, "numerator": 14536, "denominator": 14996, "simplified_numerator": 158, "simplified_denominator": 163, "reduction_factor": 92, "style": "latex_inline", "factor": 92, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 72/1584 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "1/22", "metadata": {"source_dataset": "fraction_simplification", "source_index": 794, "numerator": 72, "denominator": 1584, "simplified_numerator": 1, "simplified_denominator": 22, "reduction_factor": 72, "style": "plain", "factor": 72, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 15162/32433 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "266/569", "metadata": {"source_dataset": "fraction_simplification", "source_index": 795, "numerator": 15162, "denominator": 32433, "simplified_numerator": 266, "simplified_denominator": 569, "reduction_factor": 57, "style": "plain", "factor": 57, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{21882}{25200}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{521}{600}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 796, "numerator": 21882, "denominator": 25200, "simplified_numerator": 521, "simplified_denominator": 600, "reduction_factor": 42, "style": "latex_frac", "factor": 42, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{4755}{6105}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{317}{407}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 797, "numerator": 4755, "denominator": 6105, "simplified_numerator": 317, "simplified_denominator": 407, "reduction_factor": 15, "style": "latex_frac", "factor": 15, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{11289}{49502}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{213}{934}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 798, "numerator": 11289, "denominator": 49502, "simplified_numerator": 213, "simplified_denominator": 934, "reduction_factor": 53, "style": "latex_dfrac", "factor": 53, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{53280}{60570}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{592}{673}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 799, "numerator": 53280, "denominator": 60570, "simplified_numerator": 592, "simplified_denominator": 673, "reduction_factor": 90, "style": "latex_dfrac", "factor": 90, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $4347/56574$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$69/898$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 800, "numerator": 4347, "denominator": 56574, "simplified_numerator": 69, "simplified_denominator": 898, "reduction_factor": 63, "style": "latex_inline", "factor": 63, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 34773/45694 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "519/682", "metadata": {"source_dataset": "fraction_simplification", "source_index": 801, "numerator": 34773, "denominator": 45694, "simplified_numerator": 519, "simplified_denominator": 682, "reduction_factor": 67, "style": "plain", "factor": 67, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $62795/78945$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$661/831$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 802, "numerator": 62795, "denominator": 78945, "simplified_numerator": 661, "simplified_denominator": 831, "reduction_factor": 95, "style": "latex_inline", "factor": 95, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 2407/12865 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "29/155", "metadata": {"source_dataset": "fraction_simplification", "source_index": 803, "numerator": 2407, "denominator": 12865, "simplified_numerator": 29, "simplified_denominator": 155, "reduction_factor": 83, "style": "plain", "factor": 83, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $6615/7686$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$105/122$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 804, "numerator": 6615, "denominator": 7686, "simplified_numerator": 105, "simplified_denominator": 122, "reduction_factor": 63, "style": "latex_inline", "factor": 63, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $20349/44319$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$399/869$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 805, "numerator": 20349, "denominator": 44319, "simplified_numerator": 399, "simplified_denominator": 869, "reduction_factor": 51, "style": "latex_inline", "factor": 51, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 8208/15498 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "152/287", "metadata": {"source_dataset": "fraction_simplification", "source_index": 806, "numerator": 8208, "denominator": 15498, "simplified_numerator": 152, "simplified_denominator": 287, "reduction_factor": 54, "style": "plain", "factor": 54, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{7}{1197}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{1}{171}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 807, "numerator": 7, "denominator": 1197, "simplified_numerator": 1, "simplified_denominator": 171, "reduction_factor": 7, "style": "latex_frac", "factor": 7, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{17984}{20544}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{281}{321}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 808, "numerator": 17984, "denominator": 20544, "simplified_numerator": 281, "simplified_denominator": 321, "reduction_factor": 64, "style": "latex_dfrac", "factor": 64, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{37170}{53460}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{413}{594}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 809, "numerator": 37170, "denominator": 53460, "simplified_numerator": 413, "simplified_denominator": 594, "reduction_factor": 90, "style": "latex_frac", "factor": 90, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 63516/65807 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "804/833", "metadata": {"source_dataset": "fraction_simplification", "source_index": 810, "numerator": 63516, "denominator": 65807, "simplified_numerator": 804, "simplified_denominator": 833, "reduction_factor": 79, "style": "plain", "factor": 79, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{11856}{15770}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{312}{415}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 811, "numerator": 11856, "denominator": 15770, "simplified_numerator": 312, "simplified_denominator": 415, "reduction_factor": 38, "style": "latex_frac", "factor": 38, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{35650}{43194}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{775}{939}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 812, "numerator": 35650, "denominator": 43194, "simplified_numerator": 775, "simplified_denominator": 939, "reduction_factor": 46, "style": "latex_frac", "factor": 46, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $4352/14994$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$128/441$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 813, "numerator": 4352, "denominator": 14994, "simplified_numerator": 128, "simplified_denominator": 441, "reduction_factor": 34, "style": "latex_inline", "factor": 34, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 6467/22794 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "223/786", "metadata": {"source_dataset": "fraction_simplification", "source_index": 814, "numerator": 6467, "denominator": 22794, "simplified_numerator": 223, "simplified_denominator": 786, "reduction_factor": 29, "style": "plain", "factor": 29, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{41990}{83895}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{494}{987}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 815, "numerator": 41990, "denominator": 83895, "simplified_numerator": 494, "simplified_denominator": 987, "reduction_factor": 85, "style": "latex_dfrac", "factor": 85, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{6324}{6504}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{527}{542}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 816, "numerator": 6324, "denominator": 6504, "simplified_numerator": 527, "simplified_denominator": 542, "reduction_factor": 12, "style": "latex_frac", "factor": 12, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 17023/24186 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "587/834", "metadata": {"source_dataset": "fraction_simplification", "source_index": 817, "numerator": 17023, "denominator": 24186, "simplified_numerator": 587, "simplified_denominator": 834, "reduction_factor": 29, "style": "plain", "factor": 29, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 11782/12212 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "137/142", "metadata": {"source_dataset": "fraction_simplification", "source_index": 818, "numerator": 11782, "denominator": 12212, "simplified_numerator": 137, "simplified_denominator": 142, "reduction_factor": 86, "style": "plain", "factor": 86, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 26506/50750 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "457/875", "metadata": {"source_dataset": "fraction_simplification", "source_index": 819, "numerator": 26506, "denominator": 50750, "simplified_numerator": 457, "simplified_denominator": 875, "reduction_factor": 58, "style": "plain", "factor": 58, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 5211/6885 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "193/255", "metadata": {"source_dataset": "fraction_simplification", "source_index": 820, "numerator": 5211, "denominator": 6885, "simplified_numerator": 193, "simplified_denominator": 255, "reduction_factor": 27, "style": "plain", "factor": 27, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{21456}{31500}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{596}{875}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 821, "numerator": 21456, "denominator": 31500, "simplified_numerator": 596, "simplified_denominator": 875, "reduction_factor": 36, "style": "latex_dfrac", "factor": 36, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 19468/59086 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "314/953", "metadata": {"source_dataset": "fraction_simplification", "source_index": 822, "numerator": 19468, "denominator": 59086, "simplified_numerator": 314, "simplified_denominator": 953, "reduction_factor": 62, "style": "plain", "factor": 62, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 14760/18864 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "205/262", "metadata": {"source_dataset": "fraction_simplification", "source_index": 823, "numerator": 14760, "denominator": 18864, "simplified_numerator": 205, "simplified_denominator": 262, "reduction_factor": 72, "style": "plain", "factor": 72, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 286/2236 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "11/86", "metadata": {"source_dataset": "fraction_simplification", "source_index": 824, "numerator": 286, "denominator": 2236, "simplified_numerator": 11, "simplified_denominator": 86, "reduction_factor": 26, "style": "plain", "factor": 26, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{14130}{15192}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{785}{844}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 825, "numerator": 14130, "denominator": 15192, "simplified_numerator": 785, "simplified_denominator": 844, "reduction_factor": 18, "style": "latex_dfrac", "factor": 18, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 6493/17716 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "151/412", "metadata": {"source_dataset": "fraction_simplification", "source_index": 826, "numerator": 6493, "denominator": 17716, "simplified_numerator": 151, "simplified_denominator": 412, "reduction_factor": 43, "style": "plain", "factor": 43, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $21624/35343$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$424/693$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 827, "numerator": 21624, "denominator": 35343, "simplified_numerator": 424, "simplified_denominator": 693, "reduction_factor": 51, "style": "latex_inline", "factor": 51, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 14307/26163 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "251/459", "metadata": {"source_dataset": "fraction_simplification", "source_index": 828, "numerator": 14307, "denominator": 26163, "simplified_numerator": 251, "simplified_denominator": 459, "reduction_factor": 57, "style": "plain", "factor": 57, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{5355}{8580}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{357}{572}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 829, "numerator": 5355, "denominator": 8580, "simplified_numerator": 357, "simplified_denominator": 572, "reduction_factor": 15, "style": "latex_dfrac", "factor": 15, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $34782/51460$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$561/830$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 830, "numerator": 34782, "denominator": 51460, "simplified_numerator": 561, "simplified_denominator": 830, "reduction_factor": 62, "style": "latex_inline", "factor": 62, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{10585}{50151}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{145}{687}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 831, "numerator": 10585, "denominator": 50151, "simplified_numerator": 145, "simplified_denominator": 687, "reduction_factor": 73, "style": "latex_frac", "factor": 73, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{7958}{24472}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{173}{532}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 832, "numerator": 7958, "denominator": 24472, "simplified_numerator": 173, "simplified_denominator": 532, "reduction_factor": 46, "style": "latex_frac", "factor": 46, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{6432}{12384}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{67}{129}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 833, "numerator": 6432, "denominator": 12384, "simplified_numerator": 67, "simplified_denominator": 129, "reduction_factor": 96, "style": "latex_frac", "factor": 96, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{2162}{69090}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{23}{735}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 834, "numerator": 2162, "denominator": 69090, "simplified_numerator": 23, "simplified_denominator": 735, "reduction_factor": 94, "style": "latex_frac", "factor": 94, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $12712/45304$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$227/809$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 835, "numerator": 12712, "denominator": 45304, "simplified_numerator": 227, "simplified_denominator": 809, "reduction_factor": 56, "style": "latex_inline", "factor": 56, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{40661}{59933}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{557}{821}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 836, "numerator": 40661, "denominator": 59933, "simplified_numerator": 557, "simplified_denominator": 821, "reduction_factor": 73, "style": "latex_frac", "factor": 73, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{5520}{55683}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{80}{807}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 837, "numerator": 5520, "denominator": 55683, "simplified_numerator": 80, "simplified_denominator": 807, "reduction_factor": 69, "style": "latex_frac", "factor": 69, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{8930}{10246}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{95}{109}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 838, "numerator": 8930, "denominator": 10246, "simplified_numerator": 95, "simplified_denominator": 109, "reduction_factor": 94, "style": "latex_frac", "factor": 94, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{3630}{7546}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{165}{343}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 839, "numerator": 3630, "denominator": 7546, "simplified_numerator": 165, "simplified_denominator": 343, "reduction_factor": 22, "style": "latex_dfrac", "factor": 22, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{249}{14774}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{3}{178}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 840, "numerator": 249, "denominator": 14774, "simplified_numerator": 3, "simplified_denominator": 178, "reduction_factor": 83, "style": "latex_frac", "factor": 83, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{814}{4180}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{37}{190}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 841, "numerator": 814, "denominator": 4180, "simplified_numerator": 37, "simplified_denominator": 190, "reduction_factor": 22, "style": "latex_frac", "factor": 22, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 34006/41748 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "347/426", "metadata": {"source_dataset": "fraction_simplification", "source_index": 842, "numerator": 34006, "denominator": 41748, "simplified_numerator": 347, "simplified_denominator": 426, "reduction_factor": 98, "style": "plain", "factor": 98, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{2646}{3115}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{378}{445}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 843, "numerator": 2646, "denominator": 3115, "simplified_numerator": 378, "simplified_denominator": 445, "reduction_factor": 7, "style": "latex_frac", "factor": 7, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{3528}{9288}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{49}{129}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 844, "numerator": 3528, "denominator": 9288, "simplified_numerator": 49, "simplified_denominator": 129, "reduction_factor": 72, "style": "latex_dfrac", "factor": 72, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $630/819$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$10/13$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 845, "numerator": 630, "denominator": 819, "simplified_numerator": 10, "simplified_denominator": 13, "reduction_factor": 63, "style": "latex_inline", "factor": 63, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{6150}{33225}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{82}{443}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 846, "numerator": 6150, "denominator": 33225, "simplified_numerator": 82, "simplified_denominator": 443, "reduction_factor": 75, "style": "latex_dfrac", "factor": 75, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $58045/62225$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$611/655$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 847, "numerator": 58045, "denominator": 62225, "simplified_numerator": 611, "simplified_denominator": 655, "reduction_factor": 95, "style": "latex_inline", "factor": 95, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{80}{1400}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{2}{35}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 848, "numerator": 80, "denominator": 1400, "simplified_numerator": 2, "simplified_denominator": 35, "reduction_factor": 40, "style": "latex_frac", "factor": 40, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $14832/23436$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$412/651$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 849, "numerator": 14832, "denominator": 23436, "simplified_numerator": 412, "simplified_denominator": 651, "reduction_factor": 36, "style": "latex_inline", "factor": 36, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $2320/7720$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$58/193$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 850, "numerator": 2320, "denominator": 7720, "simplified_numerator": 58, "simplified_denominator": 193, "reduction_factor": 40, "style": "latex_inline", "factor": 40, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $18576/29196$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$516/811$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 851, "numerator": 18576, "denominator": 29196, "simplified_numerator": 516, "simplified_denominator": 811, "reduction_factor": 36, "style": "latex_inline", "factor": 36, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{8399}{9361}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{227}{253}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 852, "numerator": 8399, "denominator": 9361, "simplified_numerator": 227, "simplified_denominator": 253, "reduction_factor": 37, "style": "latex_frac", "factor": 37, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{2656}{3780}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{664}{945}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 853, "numerator": 2656, "denominator": 3780, "simplified_numerator": 664, "simplified_denominator": 945, "reduction_factor": 4, "style": "latex_dfrac", "factor": 4, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $1530/4485$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$102/299$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 854, "numerator": 1530, "denominator": 4485, "simplified_numerator": 102, "simplified_denominator": 299, "reduction_factor": 15, "style": "latex_inline", "factor": 15, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{392}{6488}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{49}{811}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 855, "numerator": 392, "denominator": 6488, "simplified_numerator": 49, "simplified_denominator": 811, "reduction_factor": 8, "style": "latex_frac", "factor": 8, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{110}{363}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{10}{33}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 856, "numerator": 110, "denominator": 363, "simplified_numerator": 10, "simplified_denominator": 33, "reduction_factor": 11, "style": "latex_frac", "factor": 11, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $1330/8310$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$133/831$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 857, "numerator": 1330, "denominator": 8310, "simplified_numerator": 133, "simplified_denominator": 831, "reduction_factor": 10, "style": "latex_inline", "factor": 10, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{60}{90}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{2}{3}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 858, "numerator": 60, "denominator": 90, "simplified_numerator": 2, "simplified_denominator": 3, "reduction_factor": 30, "style": "latex_frac", "factor": 30, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 646/988 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "17/26", "metadata": {"source_dataset": "fraction_simplification", "source_index": 859, "numerator": 646, "denominator": 988, "simplified_numerator": 17, "simplified_denominator": 26, "reduction_factor": 38, "style": "plain", "factor": 38, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{22960}{54366}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{280}{663}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 860, "numerator": 22960, "denominator": 54366, "simplified_numerator": 280, "simplified_denominator": 663, "reduction_factor": 82, "style": "latex_dfrac", "factor": 82, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 3696/57876 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "44/689", "metadata": {"source_dataset": "fraction_simplification", "source_index": 861, "numerator": 3696, "denominator": 57876, "simplified_numerator": 44, "simplified_denominator": 689, "reduction_factor": 84, "style": "plain", "factor": 84, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{56862}{72228}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{729}{926}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 862, "numerator": 56862, "denominator": 72228, "simplified_numerator": 729, "simplified_denominator": 926, "reduction_factor": 78, "style": "latex_frac", "factor": 78, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{15975}{31545}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{355}{701}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 863, "numerator": 15975, "denominator": 31545, "simplified_numerator": 355, "simplified_denominator": 701, "reduction_factor": 45, "style": "latex_dfrac", "factor": 45, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{75}{10350}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{1}{138}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 864, "numerator": 75, "denominator": 10350, "simplified_numerator": 1, "simplified_denominator": 138, "reduction_factor": 75, "style": "latex_frac", "factor": 75, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $2891/5033$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$413/719$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 865, "numerator": 2891, "denominator": 5033, "simplified_numerator": 413, "simplified_denominator": 719, "reduction_factor": 7, "style": "latex_inline", "factor": 7, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $612/11271$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$12/221$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 866, "numerator": 612, "denominator": 11271, "simplified_numerator": 12, "simplified_denominator": 221, "reduction_factor": 51, "style": "latex_inline", "factor": 51, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $10761/34680$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$211/680$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 867, "numerator": 10761, "denominator": 34680, "simplified_numerator": 211, "simplified_denominator": 680, "reduction_factor": 51, "style": "latex_inline", "factor": 51, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 36482/37062 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "629/639", "metadata": {"source_dataset": "fraction_simplification", "source_index": 868, "numerator": 36482, "denominator": 37062, "simplified_numerator": 629, "simplified_denominator": 639, "reduction_factor": 58, "style": "plain", "factor": 58, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{36800}{43148}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{400}{469}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 869, "numerator": 36800, "denominator": 43148, "simplified_numerator": 400, "simplified_denominator": 469, "reduction_factor": 92, "style": "latex_dfrac", "factor": 92, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $21560/30400$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$539/760$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 870, "numerator": 21560, "denominator": 30400, "simplified_numerator": 539, "simplified_denominator": 760, "reduction_factor": 40, "style": "latex_inline", "factor": 40, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{1054}{6014}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{17}{97}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 871, "numerator": 1054, "denominator": 6014, "simplified_numerator": 17, "simplified_denominator": 97, "reduction_factor": 62, "style": "latex_frac", "factor": 62, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 1425/7315 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "15/77", "metadata": {"source_dataset": "fraction_simplification", "source_index": 872, "numerator": 1425, "denominator": 7315, "simplified_numerator": 15, "simplified_denominator": 77, "reduction_factor": 95, "style": "plain", "factor": 95, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{3649}{6560}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{89}{160}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 873, "numerator": 3649, "denominator": 6560, "simplified_numerator": 89, "simplified_denominator": 160, "reduction_factor": 41, "style": "latex_dfrac", "factor": 41, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $51514/60372$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$599/702$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 874, "numerator": 51514, "denominator": 60372, "simplified_numerator": 599, "simplified_denominator": 702, "reduction_factor": 86, "style": "latex_inline", "factor": 86, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 51590/58893 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "770/879", "metadata": {"source_dataset": "fraction_simplification", "source_index": 875, "numerator": 51590, "denominator": 58893, "simplified_numerator": 770, "simplified_denominator": 879, "reduction_factor": 67, "style": "plain", "factor": 67, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{60024}{73390}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{732}{895}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 876, "numerator": 60024, "denominator": 73390, "simplified_numerator": 732, "simplified_denominator": 895, "reduction_factor": 82, "style": "latex_dfrac", "factor": 82, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{50635}{65930}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{533}{694}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 877, "numerator": 50635, "denominator": 65930, "simplified_numerator": 533, "simplified_denominator": 694, "reduction_factor": 95, "style": "latex_frac", "factor": 95, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $17225/32913$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$325/621$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 878, "numerator": 17225, "denominator": 32913, "simplified_numerator": 325, "simplified_denominator": 621, "reduction_factor": 53, "style": "latex_inline", "factor": 53, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{16020}{41895}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{356}{931}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 879, "numerator": 16020, "denominator": 41895, "simplified_numerator": 356, "simplified_denominator": 931, "reduction_factor": 45, "style": "latex_dfrac", "factor": 45, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $3276/32697$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$52/519$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 880, "numerator": 3276, "denominator": 32697, "simplified_numerator": 52, "simplified_denominator": 519, "reduction_factor": 63, "style": "latex_inline", "factor": 63, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{200}{340}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{10}{17}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 881, "numerator": 200, "denominator": 340, "simplified_numerator": 10, "simplified_denominator": 17, "reduction_factor": 20, "style": "latex_frac", "factor": 20, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{8492}{11396}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{193}{259}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 882, "numerator": 8492, "denominator": 11396, "simplified_numerator": 193, "simplified_denominator": 259, "reduction_factor": 44, "style": "latex_dfrac", "factor": 44, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{576}{5502}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{96}{917}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 883, "numerator": 576, "denominator": 5502, "simplified_numerator": 96, "simplified_denominator": 917, "reduction_factor": 6, "style": "latex_frac", "factor": 6, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{7327}{11254}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{431}{662}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 884, "numerator": 7327, "denominator": 11254, "simplified_numerator": 431, "simplified_denominator": 662, "reduction_factor": 17, "style": "latex_frac", "factor": 17, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 3689/5440 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "217/320", "metadata": {"source_dataset": "fraction_simplification", "source_index": 885, "numerator": 3689, "denominator": 5440, "simplified_numerator": 217, "simplified_denominator": 320, "reduction_factor": 17, "style": "plain", "factor": 17, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $21597/28773$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$313/417$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 886, "numerator": 21597, "denominator": 28773, "simplified_numerator": 313, "simplified_denominator": 417, "reduction_factor": 69, "style": "latex_inline", "factor": 69, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{891}{2448}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{99}{272}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 887, "numerator": 891, "denominator": 2448, "simplified_numerator": 99, "simplified_denominator": 272, "reduction_factor": 9, "style": "latex_frac", "factor": 9, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{492}{900}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{41}{75}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 888, "numerator": 492, "denominator": 900, "simplified_numerator": 41, "simplified_denominator": 75, "reduction_factor": 12, "style": "latex_dfrac", "factor": 12, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{21750}{41300}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{435}{826}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 889, "numerator": 21750, "denominator": 41300, "simplified_numerator": 435, "simplified_denominator": 826, "reduction_factor": 50, "style": "latex_dfrac", "factor": 50, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{742}{1176}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{53}{84}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 890, "numerator": 742, "denominator": 1176, "simplified_numerator": 53, "simplified_denominator": 84, "reduction_factor": 14, "style": "latex_dfrac", "factor": 14, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 12466/13409 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "542/583", "metadata": {"source_dataset": "fraction_simplification", "source_index": 891, "numerator": 12466, "denominator": 13409, "simplified_numerator": 542, "simplified_denominator": 583, "reduction_factor": 23, "style": "plain", "factor": 23, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 255/473 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "255/473", "metadata": {"source_dataset": "fraction_simplification", "source_index": 892, "numerator": 255, "denominator": 473, "simplified_numerator": 255, "simplified_denominator": 473, "reduction_factor": 1, "style": "plain", "factor": 1, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{66082}{79242}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{703}{843}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 893, "numerator": 66082, "denominator": 79242, "simplified_numerator": 703, "simplified_denominator": 843, "reduction_factor": 94, "style": "latex_dfrac", "factor": 94, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $8745/52745$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$159/959$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 894, "numerator": 8745, "denominator": 52745, "simplified_numerator": 159, "simplified_denominator": 959, "reduction_factor": 55, "style": "latex_inline", "factor": 55, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 11097/44550 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "137/550", "metadata": {"source_dataset": "fraction_simplification", "source_index": 895, "numerator": 11097, "denominator": 44550, "simplified_numerator": 137, "simplified_denominator": 550, "reduction_factor": 81, "style": "plain", "factor": 81, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $5520/6144$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$115/128$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 896, "numerator": 5520, "denominator": 6144, "simplified_numerator": 115, "simplified_denominator": 128, "reduction_factor": 48, "style": "latex_inline", "factor": 48, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $95/893$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$5/47$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 897, "numerator": 95, "denominator": 893, "simplified_numerator": 5, "simplified_denominator": 47, "reduction_factor": 19, "style": "latex_inline", "factor": 19, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 6440/16975 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "184/485", "metadata": {"source_dataset": "fraction_simplification", "source_index": 898, "numerator": 6440, "denominator": 16975, "simplified_numerator": 184, "simplified_denominator": 485, "reduction_factor": 35, "style": "plain", "factor": 35, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{25323}{37398}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{367}{542}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 899, "numerator": 25323, "denominator": 37398, "simplified_numerator": 367, "simplified_denominator": 542, "reduction_factor": 69, "style": "latex_dfrac", "factor": 69, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $20111/36855$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$221/405$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 900, "numerator": 20111, "denominator": 36855, "simplified_numerator": 221, "simplified_denominator": 405, "reduction_factor": 91, "style": "latex_inline", "factor": 91, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $16836/38295$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$244/555$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 901, "numerator": 16836, "denominator": 38295, "simplified_numerator": 244, "simplified_denominator": 555, "reduction_factor": 69, "style": "latex_inline", "factor": 69, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{858}{21186}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{13}{321}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 902, "numerator": 858, "denominator": 21186, "simplified_numerator": 13, "simplified_denominator": 321, "reduction_factor": 66, "style": "latex_frac", "factor": 66, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $15570/20070$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$173/223$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 903, "numerator": 15570, "denominator": 20070, "simplified_numerator": 173, "simplified_denominator": 223, "reduction_factor": 90, "style": "latex_inline", "factor": 90, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{2905}{60507}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{35}{729}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 904, "numerator": 2905, "denominator": 60507, "simplified_numerator": 35, "simplified_denominator": 729, "reduction_factor": 83, "style": "latex_frac", "factor": 83, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{7344}{25524}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{204}{709}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 905, "numerator": 7344, "denominator": 25524, "simplified_numerator": 204, "simplified_denominator": 709, "reduction_factor": 36, "style": "latex_frac", "factor": 36, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 35838/52965 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "362/535", "metadata": {"source_dataset": "fraction_simplification", "source_index": 906, "numerator": 35838, "denominator": 52965, "simplified_numerator": 362, "simplified_denominator": 535, "reduction_factor": 99, "style": "plain", "factor": 99, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{5405}{10669}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{115}{227}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 907, "numerator": 5405, "denominator": 10669, "simplified_numerator": 115, "simplified_denominator": 227, "reduction_factor": 47, "style": "latex_frac", "factor": 47, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{17889}{19402}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{201}{218}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 908, "numerator": 17889, "denominator": 19402, "simplified_numerator": 201, "simplified_denominator": 218, "reduction_factor": 89, "style": "latex_dfrac", "factor": 89, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{8878}{9039}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{386}{393}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 909, "numerator": 8878, "denominator": 9039, "simplified_numerator": 386, "simplified_denominator": 393, "reduction_factor": 23, "style": "latex_frac", "factor": 23, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{826}{4837}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{118}{691}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 910, "numerator": 826, "denominator": 4837, "simplified_numerator": 118, "simplified_denominator": 691, "reduction_factor": 7, "style": "latex_dfrac", "factor": 7, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{250}{11900}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{5}{238}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 911, "numerator": 250, "denominator": 11900, "simplified_numerator": 5, "simplified_denominator": 238, "reduction_factor": 50, "style": "latex_frac", "factor": 50, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $1246/4095$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$178/585$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 912, "numerator": 1246, "denominator": 4095, "simplified_numerator": 178, "simplified_denominator": 585, "reduction_factor": 7, "style": "latex_inline", "factor": 7, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{24721}{40179}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{419}{681}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 913, "numerator": 24721, "denominator": 40179, "simplified_numerator": 419, "simplified_denominator": 681, "reduction_factor": 59, "style": "latex_frac", "factor": 59, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{4020}{7000}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{201}{350}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 914, "numerator": 4020, "denominator": 7000, "simplified_numerator": 201, "simplified_denominator": 350, "reduction_factor": 20, "style": "latex_dfrac", "factor": 20, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $3100/7900$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$31/79$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 915, "numerator": 3100, "denominator": 7900, "simplified_numerator": 31, "simplified_denominator": 79, "reduction_factor": 100, "style": "latex_inline", "factor": 100, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{26149}{75603}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{331}{957}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 916, "numerator": 26149, "denominator": 75603, "simplified_numerator": 331, "simplified_denominator": 957, "reduction_factor": 79, "style": "latex_dfrac", "factor": 79, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{2910}{7305}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{194}{487}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 917, "numerator": 2910, "denominator": 7305, "simplified_numerator": 194, "simplified_denominator": 487, "reduction_factor": 15, "style": "latex_dfrac", "factor": 15, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 9154/12995 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "398/565", "metadata": {"source_dataset": "fraction_simplification", "source_index": 918, "numerator": 9154, "denominator": 12995, "simplified_numerator": 398, "simplified_denominator": 565, "reduction_factor": 23, "style": "plain", "factor": 23, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 44676/53788 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "657/791", "metadata": {"source_dataset": "fraction_simplification", "source_index": 919, "numerator": 44676, "denominator": 53788, "simplified_numerator": 657, "simplified_denominator": 791, "reduction_factor": 68, "style": "plain", "factor": 68, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{1092}{2436}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{13}{29}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 920, "numerator": 1092, "denominator": 2436, "simplified_numerator": 13, "simplified_denominator": 29, "reduction_factor": 84, "style": "latex_dfrac", "factor": 84, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $21567/33267$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$553/853$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 921, "numerator": 21567, "denominator": 33267, "simplified_numerator": 553, "simplified_denominator": 853, "reduction_factor": 39, "style": "latex_inline", "factor": 39, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{26455}{27625}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{407}{425}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 922, "numerator": 26455, "denominator": 27625, "simplified_numerator": 407, "simplified_denominator": 425, "reduction_factor": 65, "style": "latex_dfrac", "factor": 65, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{9912}{21294}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{236}{507}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 923, "numerator": 9912, "denominator": 21294, "simplified_numerator": 236, "simplified_denominator": 507, "reduction_factor": 42, "style": "latex_dfrac", "factor": 42, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{1445}{14535}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{17}{171}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 924, "numerator": 1445, "denominator": 14535, "simplified_numerator": 17, "simplified_denominator": 171, "reduction_factor": 85, "style": "latex_dfrac", "factor": 85, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{504}{2156}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{18}{77}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 925, "numerator": 504, "denominator": 2156, "simplified_numerator": 18, "simplified_denominator": 77, "reduction_factor": 28, "style": "latex_dfrac", "factor": 28, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 3737/30488 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "101/824", "metadata": {"source_dataset": "fraction_simplification", "source_index": 926, "numerator": 3737, "denominator": 30488, "simplified_numerator": 101, "simplified_denominator": 824, "reduction_factor": 37, "style": "plain", "factor": 37, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 16490/40545 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "194/477", "metadata": {"source_dataset": "fraction_simplification", "source_index": 927, "numerator": 16490, "denominator": 40545, "simplified_numerator": 194, "simplified_denominator": 477, "reduction_factor": 85, "style": "plain", "factor": 85, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 26370/76590 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "293/851", "metadata": {"source_dataset": "fraction_simplification", "source_index": 928, "numerator": 26370, "denominator": 76590, "simplified_numerator": 293, "simplified_denominator": 851, "reduction_factor": 90, "style": "plain", "factor": 90, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{1157}{1335}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{13}{15}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 929, "numerator": 1157, "denominator": 1335, "simplified_numerator": 13, "simplified_denominator": 15, "reduction_factor": 89, "style": "latex_frac", "factor": 89, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{8487}{51405}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{123}{745}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 930, "numerator": 8487, "denominator": 51405, "simplified_numerator": 123, "simplified_denominator": 745, "reduction_factor": 69, "style": "latex_dfrac", "factor": 69, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{1113}{4298}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{159}{614}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 931, "numerator": 1113, "denominator": 4298, "simplified_numerator": 159, "simplified_denominator": 614, "reduction_factor": 7, "style": "latex_dfrac", "factor": 7, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 38571/39775 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "897/925", "metadata": {"source_dataset": "fraction_simplification", "source_index": 932, "numerator": 38571, "denominator": 39775, "simplified_numerator": 897, "simplified_denominator": 925, "reduction_factor": 43, "style": "plain", "factor": 43, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 45630/64710 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "507/719", "metadata": {"source_dataset": "fraction_simplification", "source_index": 933, "numerator": 45630, "denominator": 64710, "simplified_numerator": 507, "simplified_denominator": 719, "reduction_factor": 90, "style": "plain", "factor": 90, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $1615/3990$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$17/42$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 934, "numerator": 1615, "denominator": 3990, "simplified_numerator": 17, "simplified_denominator": 42, "reduction_factor": 95, "style": "latex_inline", "factor": 95, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{2261}{2772}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{323}{396}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 935, "numerator": 2261, "denominator": 2772, "simplified_numerator": 323, "simplified_denominator": 396, "reduction_factor": 7, "style": "latex_frac", "factor": 7, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 5194/19796 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "53/202", "metadata": {"source_dataset": "fraction_simplification", "source_index": 936, "numerator": 5194, "denominator": 19796, "simplified_numerator": 53, "simplified_denominator": 202, "reduction_factor": 98, "style": "plain", "factor": 98, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 5348/13440 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "191/480", "metadata": {"source_dataset": "fraction_simplification", "source_index": 937, "numerator": 5348, "denominator": 13440, "simplified_numerator": 191, "simplified_denominator": 480, "reduction_factor": 28, "style": "plain", "factor": 28, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $3680/5037$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$160/219$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 938, "numerator": 3680, "denominator": 5037, "simplified_numerator": 160, "simplified_denominator": 219, "reduction_factor": 23, "style": "latex_inline", "factor": 23, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $360/1504$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$45/188$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 939, "numerator": 360, "denominator": 1504, "simplified_numerator": 45, "simplified_denominator": 188, "reduction_factor": 8, "style": "latex_inline", "factor": 8, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 4848/24816 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "101/517", "metadata": {"source_dataset": "fraction_simplification", "source_index": 940, "numerator": 4848, "denominator": 24816, "simplified_numerator": 101, "simplified_denominator": 517, "reduction_factor": 48, "style": "plain", "factor": 48, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{52920}{66542}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{540}{679}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 941, "numerator": 52920, "denominator": 66542, "simplified_numerator": 540, "simplified_denominator": 679, "reduction_factor": 98, "style": "latex_dfrac", "factor": 98, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 3159/3483 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "39/43", "metadata": {"source_dataset": "fraction_simplification", "source_index": 942, "numerator": 3159, "denominator": 3483, "simplified_numerator": 39, "simplified_denominator": 43, "reduction_factor": 81, "style": "plain", "factor": 81, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 10528/15933 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "224/339", "metadata": {"source_dataset": "fraction_simplification", "source_index": 943, "numerator": 10528, "denominator": 15933, "simplified_numerator": 224, "simplified_denominator": 339, "reduction_factor": 47, "style": "plain", "factor": 47, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{682}{5467}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{62}{497}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 944, "numerator": 682, "denominator": 5467, "simplified_numerator": 62, "simplified_denominator": 497, "reduction_factor": 11, "style": "latex_frac", "factor": 11, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 18564/29852 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "273/439", "metadata": {"source_dataset": "fraction_simplification", "source_index": 945, "numerator": 18564, "denominator": 29852, "simplified_numerator": 273, "simplified_denominator": 439, "reduction_factor": 68, "style": "plain", "factor": 68, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 3042/9516 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "39/122", "metadata": {"source_dataset": "fraction_simplification", "source_index": 946, "numerator": 3042, "denominator": 9516, "simplified_numerator": 39, "simplified_denominator": 122, "reduction_factor": 78, "style": "plain", "factor": 78, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{1530}{16002}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{85}{889}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 947, "numerator": 1530, "denominator": 16002, "simplified_numerator": 85, "simplified_denominator": 889, "reduction_factor": 18, "style": "latex_frac", "factor": 18, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{3084}{4998}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{514}{833}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 948, "numerator": 3084, "denominator": 4998, "simplified_numerator": 514, "simplified_denominator": 833, "reduction_factor": 6, "style": "latex_frac", "factor": 6, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $12684/39648$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$151/472$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 949, "numerator": 12684, "denominator": 39648, "simplified_numerator": 151, "simplified_denominator": 472, "reduction_factor": 84, "style": "latex_inline", "factor": 84, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 2397/11750 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "51/250", "metadata": {"source_dataset": "fraction_simplification", "source_index": 950, "numerator": 2397, "denominator": 11750, "simplified_numerator": 51, "simplified_denominator": 250, "reduction_factor": 47, "style": "plain", "factor": 47, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $693/10274$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$63/934$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 951, "numerator": 693, "denominator": 10274, "simplified_numerator": 63, "simplified_denominator": 934, "reduction_factor": 11, "style": "latex_inline", "factor": 11, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{12838}{95256}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{131}{972}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 952, "numerator": 12838, "denominator": 95256, "simplified_numerator": 131, "simplified_denominator": 972, "reduction_factor": 98, "style": "latex_dfrac", "factor": 98, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $6919/31080$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$187/840$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 953, "numerator": 6919, "denominator": 31080, "simplified_numerator": 187, "simplified_denominator": 840, "reduction_factor": 37, "style": "latex_inline", "factor": 37, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $4030/8308$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$65/134$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 954, "numerator": 4030, "denominator": 8308, "simplified_numerator": 65, "simplified_denominator": 134, "reduction_factor": 62, "style": "latex_inline", "factor": 62, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{1989}{2067}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{51}{53}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 955, "numerator": 1989, "denominator": 2067, "simplified_numerator": 51, "simplified_denominator": 53, "reduction_factor": 39, "style": "latex_frac", "factor": 39, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{13013}{37807}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{169}{491}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 956, "numerator": 13013, "denominator": 37807, "simplified_numerator": 169, "simplified_denominator": 491, "reduction_factor": 77, "style": "latex_dfrac", "factor": 77, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{2552}{2937}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{232}{267}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 957, "numerator": 2552, "denominator": 2937, "simplified_numerator": 232, "simplified_denominator": 267, "reduction_factor": 11, "style": "latex_dfrac", "factor": 11, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 37840/68542 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "440/797", "metadata": {"source_dataset": "fraction_simplification", "source_index": 958, "numerator": 37840, "denominator": 68542, "simplified_numerator": 440, "simplified_denominator": 797, "reduction_factor": 86, "style": "plain", "factor": 86, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $2176/2536$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$272/317$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 959, "numerator": 2176, "denominator": 2536, "simplified_numerator": 272, "simplified_denominator": 317, "reduction_factor": 8, "style": "latex_inline", "factor": 8, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $14418/16470$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$267/305$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 960, "numerator": 14418, "denominator": 16470, "simplified_numerator": 267, "simplified_denominator": 305, "reduction_factor": 54, "style": "latex_inline", "factor": 54, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $7990/8977$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$170/191$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 961, "numerator": 7990, "denominator": 8977, "simplified_numerator": 170, "simplified_denominator": 191, "reduction_factor": 47, "style": "latex_inline", "factor": 47, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $10137/40176$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$109/432$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 962, "numerator": 10137, "denominator": 40176, "simplified_numerator": 109, "simplified_denominator": 432, "reduction_factor": 93, "style": "latex_inline", "factor": 93, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{25740}{42068}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{495}{809}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 963, "numerator": 25740, "denominator": 42068, "simplified_numerator": 495, "simplified_denominator": 809, "reduction_factor": 52, "style": "latex_dfrac", "factor": 52, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{1740}{10650}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{58}{355}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 964, "numerator": 1740, "denominator": 10650, "simplified_numerator": 58, "simplified_denominator": 355, "reduction_factor": 30, "style": "latex_dfrac", "factor": 30, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $2541/67529$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$33/877$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 965, "numerator": 2541, "denominator": 67529, "simplified_numerator": 33, "simplified_denominator": 877, "reduction_factor": 77, "style": "latex_inline", "factor": 77, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{30381}{56202}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{533}{986}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 966, "numerator": 30381, "denominator": 56202, "simplified_numerator": 533, "simplified_denominator": 986, "reduction_factor": 57, "style": "latex_frac", "factor": 57, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 819/11655 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "13/185", "metadata": {"source_dataset": "fraction_simplification", "source_index": 967, "numerator": 819, "denominator": 11655, "simplified_numerator": 13, "simplified_denominator": 185, "reduction_factor": 63, "style": "plain", "factor": 63, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 19808/22016 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "619/688", "metadata": {"source_dataset": "fraction_simplification", "source_index": 968, "numerator": 19808, "denominator": 22016, "simplified_numerator": 619, "simplified_denominator": 688, "reduction_factor": 32, "style": "plain", "factor": 32, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{260}{376}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{65}{94}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 969, "numerator": 260, "denominator": 376, "simplified_numerator": 65, "simplified_denominator": 94, "reduction_factor": 4, "style": "latex_dfrac", "factor": 4, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{3097}{6593}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{163}{347}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 970, "numerator": 3097, "denominator": 6593, "simplified_numerator": 163, "simplified_denominator": 347, "reduction_factor": 19, "style": "latex_dfrac", "factor": 19, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{6174}{11368}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{63}{116}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 971, "numerator": 6174, "denominator": 11368, "simplified_numerator": 63, "simplified_denominator": 116, "reduction_factor": 98, "style": "latex_frac", "factor": 98, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{31}{2728}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{1}{88}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 972, "numerator": 31, "denominator": 2728, "simplified_numerator": 1, "simplified_denominator": 88, "reduction_factor": 31, "style": "latex_frac", "factor": 31, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{4173}{30459}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{107}{781}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 973, "numerator": 4173, "denominator": 30459, "simplified_numerator": 107, "simplified_denominator": 781, "reduction_factor": 39, "style": "latex_dfrac", "factor": 39, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{50}{100}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{1}{2}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 974, "numerator": 50, "denominator": 100, "simplified_numerator": 1, "simplified_denominator": 2, "reduction_factor": 50, "style": "latex_frac", "factor": 50, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{40426}{76342}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{493}{931}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 975, "numerator": 40426, "denominator": 76342, "simplified_numerator": 493, "simplified_denominator": 931, "reduction_factor": 82, "style": "latex_dfrac", "factor": 82, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{19998}{32571}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{202}{329}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 976, "numerator": 19998, "denominator": 32571, "simplified_numerator": 202, "simplified_denominator": 329, "reduction_factor": 99, "style": "latex_dfrac", "factor": 99, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 1008/9548 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "36/341", "metadata": {"source_dataset": "fraction_simplification", "source_index": 977, "numerator": 1008, "denominator": 9548, "simplified_numerator": 36, "simplified_denominator": 341, "reduction_factor": 28, "style": "plain", "factor": 28, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{780}{3480}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{13}{58}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 978, "numerator": 780, "denominator": 3480, "simplified_numerator": 13, "simplified_denominator": 58, "reduction_factor": 60, "style": "latex_dfrac", "factor": 60, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $11983/12512$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$521/544$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 979, "numerator": 11983, "denominator": 12512, "simplified_numerator": 521, "simplified_denominator": 544, "reduction_factor": 23, "style": "latex_inline", "factor": 23, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{10472}{32571}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{136}{423}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 980, "numerator": 10472, "denominator": 32571, "simplified_numerator": 136, "simplified_denominator": 423, "reduction_factor": 77, "style": "latex_frac", "factor": 77, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{29058}{42688}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{501}{736}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 981, "numerator": 29058, "denominator": 42688, "simplified_numerator": 501, "simplified_denominator": 736, "reduction_factor": 58, "style": "latex_dfrac", "factor": 58, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{1240}{50654}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{20}{817}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 982, "numerator": 1240, "denominator": 50654, "simplified_numerator": 20, "simplified_denominator": 817, "reduction_factor": 62, "style": "latex_dfrac", "factor": 62, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $354/1290$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$59/215$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 983, "numerator": 354, "denominator": 1290, "simplified_numerator": 59, "simplified_denominator": 215, "reduction_factor": 6, "style": "latex_inline", "factor": 6, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{1647}{59719}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{27}{979}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 984, "numerator": 1647, "denominator": 59719, "simplified_numerator": 27, "simplified_denominator": 979, "reduction_factor": 61, "style": "latex_frac", "factor": 61, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{77}{440}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{7}{40}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 985, "numerator": 77, "denominator": 440, "simplified_numerator": 7, "simplified_denominator": 40, "reduction_factor": 11, "style": "latex_dfrac", "factor": 11, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{24174}{31161}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{474}{611}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 986, "numerator": 24174, "denominator": 31161, "simplified_numerator": 474, "simplified_denominator": 611, "reduction_factor": 51, "style": "latex_frac", "factor": 51, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $28440/55710$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$316/619$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 987, "numerator": 28440, "denominator": 55710, "simplified_numerator": 316, "simplified_denominator": 619, "reduction_factor": 90, "style": "latex_inline", "factor": 90, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $1045/17985$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$19/327$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 988, "numerator": 1045, "denominator": 17985, "simplified_numerator": 19, "simplified_denominator": 327, "reduction_factor": 55, "style": "latex_inline", "factor": 55, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 41535/50978 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "585/718", "metadata": {"source_dataset": "fraction_simplification", "source_index": 989, "numerator": 41535, "denominator": 50978, "simplified_numerator": 585, "simplified_denominator": 718, "reduction_factor": 71, "style": "plain", "factor": 71, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{27790}{46550}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{397}{665}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 990, "numerator": 27790, "denominator": 46550, "simplified_numerator": 397, "simplified_denominator": 665, "reduction_factor": 70, "style": "latex_dfrac", "factor": 70, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\frac{17847}{26514}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\frac{661}{982}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 991, "numerator": 17847, "denominator": 26514, "simplified_numerator": 661, "simplified_denominator": 982, "reduction_factor": 27, "style": "latex_frac", "factor": 27, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 1053/22761 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "13/281", "metadata": {"source_dataset": "fraction_simplification", "source_index": 992, "numerator": 1053, "denominator": 22761, "simplified_numerator": 13, "simplified_denominator": 281, "reduction_factor": 81, "style": "plain", "factor": 81, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $37962/44403$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$666/779$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 993, "numerator": 37962, "denominator": 44403, "simplified_numerator": 666, "simplified_denominator": 779, "reduction_factor": 57, "style": "latex_inline", "factor": 57, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction 40044/67022 to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "426/713", "metadata": {"source_dataset": "fraction_simplification", "source_index": 994, "numerator": 40044, "denominator": 67022, "simplified_numerator": 426, "simplified_denominator": 713, "reduction_factor": 94, "style": "plain", "factor": 94, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{7569}{39237}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{87}{451}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 995, "numerator": 7569, "denominator": 39237, "simplified_numerator": 87, "simplified_denominator": 451, "reduction_factor": 87, "style": "latex_dfrac", "factor": 87, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $2409/3828$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$73/116$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 996, "numerator": 2409, "denominator": 3828, "simplified_numerator": 73, "simplified_denominator": 116, "reduction_factor": 33, "style": "latex_inline", "factor": 33, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $2352/2376$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$98/99$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 997, "numerator": 2352, "denominator": 2376, "simplified_numerator": 98, "simplified_denominator": 99, "reduction_factor": 24, "style": "latex_inline", "factor": 24, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $12921/22849$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$177/313$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 998, "numerator": 12921, "denominator": 22849, "simplified_numerator": 177, "simplified_denominator": 313, "reduction_factor": 73, "style": "latex_inline", "factor": 73, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}
{"question": "Simplify the fraction $\\dfrac{9735}{26786}$ to its lowest terms. Give only the simplified fraction as your final answer.", "answer": "$\\dfrac{165}{454}$", "metadata": {"source_dataset": "fraction_simplification", "source_index": 999, "numerator": 9735, "denominator": 26786, "simplified_numerator": 165, "simplified_denominator": 454, "reduction_factor": 59, "style": "latex_dfrac", "factor": 59, "difficulty": {"value": [1, 1000], "factor": [1, 100]}}}