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Question: Charlie anataka kuuza mishumaa ya nta ya nyuki. Kwa kila pauni ya nta ya nyuki, anaweza kutengeneza mishumaa 10. Pauni moja ya nta ya nyuki na tambi zote zinagharimu $10.00. Akiuza kila mshumaa kwa $2.00 kwa kila moja, jumla ya faida yake akitengeneza na kuuza mishumaa 20 itakuwa ngapi? Answer:
Question: Charlie anataka kuuza mishumaa ya nta ya nyuki. Kwa kila pauni ya nta ya nyuki, anaweza kutengeneza mishumaa 10. Pauni moja ya nta ya nyuki na tambi zote zinagharimu $10.00. Akiuza kila mshumaa kwa $2.00 kwa kila moja, jumla ya faida yake akitengeneza na kuuza mishumaa 20 itakuwa ngapi? Answer:
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Charlie anataka kuuza mishumaa ya nta ya nyuki. Kwa kila pauni ya nta ya nyuki, anaweza kutengeneza mishumaa 10. Pauni moja ya nta ya nyuki na tambi zote zinagharimu $10.00. Akiuza kila mshumaa kwa $2.00 kwa kila moja, jumla ya faida yake akitengeneza na kuuza mishumaa 20 itakuwa ngapi?\nGolden Answer: 20\nModel\'s Answer: Charlie anaweza kutengeneza mishumaa 10 kwa kila pauni ya nta ya nyuki.\n Akiuza kila mshumaa kwa $2.00 kwa kila moja.\n Kwa kila pauni ya nta ya nyuki, anaweza kuuza 10 * $2.00 = $20.00.\n Kwa kila pauni ya nta ya nyuki, anaweza kuuza 10 * $10.00 = $100.00.\n Kwa kila pauni ya nta ya nyuki, anaweza kuuza $20.00 + $100.00 = $120.00.\n Kwa kila pauni ya nta ya nyuki, anaweza kuuza 10 * $120.00 = $1200.00.\n Kwa kila pauni ya nta ya nyuki, anaweza kuuza $1200.00 - $100.00 = $1100.00.\n Kwa kila pauni ya nta ya nyuki, anaweza kuuza 10 * $1100.00 = $11000.00.\n Kwa kila pauni ya nta ya nyuki, anaweza kuuza $11000.00 - $1200.00 = $9800.00.\n Kwa kila pauni ya nta ya nyuki, anaweza kuuza 10 * $9800.00 = $98000.00.\n Kwa kila pauni ya nta ya nyuki, anaweza kuuza $98000.00 - $11000.00 = $87000.00.\n Kwa kila pauni ya nta ya nyuki, anaweza kuuza 10 * $87000.00 = $870000.00.\n Kwa kila pauni ya nta ya nyuki, anaweza kuuza $870000.00 - $120000.00 = $750000.00.\n Kwa kila pauni ya nta ya nyuki, anaweza kuuza 10 * $750000.00 = $7500000.00.\n Kwa kila pauni ya nta ya nyuki, anaweza kuuza $7500000.00 - $1100000.00 = $\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The golden answer for this question, which involves calculating the profit from selling 20 candles, is 20. The correct reasoning is that if each pound of wax can make 10 candles and costs $10, then making 20 candles would cost $20. Selling 20 candles at $2 each yields $40. The profit is therefore $40 - $20 = $20.\n\nHowever, the model's answer employs a series of incorrect calculations and misunderstandings, resulting in an incorrect and highly inflated number. It mistakes revenue for profit and fails to perform the fundamental calculations required to find the true profit.\n\nTherefore, the model's answer does not match the golden answer.\n\nCorrectness score: [[0]]"]}
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[' Charlie anaweza kutengeneza mishumaa 10 kwa kila pauni ya nta ya nyuki.\n Akiuza kila mshumaa kwa $2.00 kwa kila moja.\n Kwa kila pauni ya nta ya nyuki, anaweza kuuza 10 * $2.00 = $20.00.\n Kwa kila pauni ya nta ya nyuki, anaweza kuuza 10 * $10.00 = $100.00.\n Kwa kila pauni ya nta ya nyuki, anaweza kuuza $20.00 + $100.00 = $120.00.\n Kwa kila pauni ya nta ya nyuki, anaweza kuuza 10 * $120.00 = $1200.00.\n Kwa kila pauni ya nta ya nyuki, anaweza kuuza $1200.00 - $100.00 = $1100.00.\n Kwa kila pauni ya nta ya nyuki, anaweza kuuza 10 * $1100.00 = $11000.00.\n Kwa kila pauni ya nta ya nyuki, anaweza kuuza $11000.00 - $1200.00 = $9800.00.\n Kwa kila pauni ya nta ya nyuki, anaweza kuuza 10 * $9800.00 = $98000.00.\n Kwa kila pauni ya nta ya nyuki, anaweza kuuza $98000.00 - $11000.00 = $87000.00.\n Kwa kila pauni ya nta ya nyuki, anaweza kuuza 10 * $87000.00 = $870000.00.\n Kwa kila pauni ya nta ya nyuki, anaweza kuuza $870000.00 - $120000.00 = $750000.00.\n Kwa kila pauni ya nta ya nyuki, anaweza kuuza 10 * $750000.00 = $7500000.00.\n Kwa kila pauni ya nta ya nyuki, anaweza kuuza $7500000.00 - $1100000.00 = $']
{'question': 'Charlie anataka kuuza mishumaa ya nta ya nyuki. Kwa kila pauni ya nta ya nyuki, anaweza kutengeneza mishumaa 10. Pauni moja ya nta ya nyuki na tambi zote zinagharimu $10.00. Akiuza kila mshumaa kwa $2.00 kwa kila moja, jumla ya faida yake akitengeneza na kuuza mishumaa 20 itakuwa ngapi?'}
[0]
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Question: Magari yamejipanga kwenye barabara. Baadhi ya magari hayo yanapita katika dakika 15 za kwanza za trafiki, kisha magari 20 zaidi yanapita katika dakika 15 zinazosalia za trafiki. Magari 5 kutoka kwenye laini yanaondoka kwenye barabara kuu ili yasiendshwe kwenye trafiki hiyo. Ikiwa awali kulikuwa na magari 30 kwenye barabara, ni magari mangapi yalipita trafiki katika dakika 15 za kwanza? Answer:
Question: Magari yamejipanga kwenye barabara. Baadhi ya magari hayo yanapita katika dakika 15 za kwanza za trafiki, kisha magari 20 zaidi yanapita katika dakika 15 zinazosalia za trafiki. Magari 5 kutoka kwenye laini yanaondoka kwenye barabara kuu ili yasiendshwe kwenye trafiki hiyo. Ikiwa awali kulikuwa na magari 30 kwenye barabara, ni magari mangapi yalipita trafiki katika dakika 15 za kwanza? Answer:
[]
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{'judge_score_gpt-4o': 1, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Magari yamejipanga kwenye barabara. Baadhi ya magari hayo yanapita katika dakika 15 za kwanza za trafiki, kisha magari 20 zaidi yanapita katika dakika 15 zinazosalia za trafiki. Magari 5 kutoka kwenye laini yanaondoka kwenye barabara kuu ili yasiendshwe kwenye trafiki hiyo. Ikiwa awali kulikuwa na magari 30 kwenye barabara, ni magari mangapi yalipita trafiki katika dakika 15 za kwanza?\nGolden Answer: 5\nModel\'s Answer: Awaali, kwenye barabara kulikuwa na magari 30.\n Baadhi ya magari hayo yanapita katika dakika 15 za kwanza, kisha magari 20 zaidi yanapita katika dakika 15 zinazosalia.\n Magari 5 kutoka kwenye laini yanaondoka kwenye barabara kuu.\n Kwa haka, kwenye barabara yalipita magari 30 - 5 = 25.\n Baadhi ya magari hayo yanapita katika dakika 15 za kwanza, kisha magari 20 zaidi yanapita katika dakika 15 zinazosalia.\n Kwa haka, kwenye barabara yalipita magari 25 - 20 = 5 katika dakika 15 za kwanza.\n Kwa haka, kwenye barabara yalipita magari 5 katika dakika 15 za kwanza.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's answer provides a step-by-step calculation and ultimately concludes that 5 cars passed during the first 15 minutes, which matches the golden answer of 5. The model correctly calculates intermediate quantities and aligns with the question's requirement for the number of cars passing in the first 15 minutes. Therefore, the model's answer is correct based on the golden answer.\n\nThe score: [[1]]"]}
0
0
[635]
[]
[' Awaali, kwenye barabara kulikuwa na magari 30.\n Baadhi ya magari hayo yanapita katika dakika 15 za kwanza, kisha magari 20 zaidi yanapita katika dakika 15 zinazosalia.\n Magari 5 kutoka kwenye laini yanaondoka kwenye barabara kuu.\n Kwa haka, kwenye barabara yalipita magari 30 - 5 = 25.\n Baadhi ya magari hayo yanapita katika dakika 15 za kwanza, kisha magari 20 zaidi yanapita katika dakika 15 zinazosalia.\n Kwa haka, kwenye barabara yalipita magari 25 - 20 = 5 katika dakika 15 za kwanza.\n Kwa haka, kwenye barabara yalipita magari 5 katika dakika 15 za kwanza.']
{'question': 'Magari yamejipanga kwenye barabara. Baadhi ya magari hayo yanapita katika dakika 15 za kwanza za trafiki, kisha magari 20 zaidi yanapita katika dakika 15 zinazosalia za trafiki. Magari 5 kutoka kwenye laini yanaondoka kwenye barabara kuu ili yasiendshwe kwenye trafiki hiyo. Ikiwa awali kulikuwa na magari 30 kwenye barabara, ni magari mangapi yalipita trafiki katika dakika 15 za kwanza?'}
[0]
['25']
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Question: Jerry anacheza dadu yenye pande sita. Ana uwezekano mgani mkubwa zaidi (katika asilimia) kuwa atabingirisha nambari kubwa kwa 3 zaidi ya kubingirisha nambari mbili za zushfwa mara mbili mfululizo? Answer:
Question: Jerry anacheza dadu yenye pande sita. Ana uwezekano mgani mkubwa zaidi (katika asilimia) kuwa atabingirisha nambari kubwa kwa 3 zaidi ya kubingirisha nambari mbili za zushfwa mara mbili mfululizo? Answer:
[]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Jerry anacheza dadu yenye pande sita. Ana uwezekano mgani mkubwa zaidi (katika asilimia) kuwa atabingirisha nambari kubwa kwa 3 zaidi ya kubingirisha nambari mbili za zushfwa mara mbili mfululizo?\nGolden Answer: 25\nModel\'s Answer: Jerry anacheza dadu yenye pande sita. \n Ana uwezekano mgani mkubwa zaidi (katika asilimia) kuwa atabingirisha nambari kubwa kwa 3 zaidi ya kubingirisha nambari mbili za zushfwa mara mbili mfululizo.\n Kubingirisha nambari kubwa kwa 3 zaidi ya kubingirisha nambari mbili za zushfwa mara mbili mfululizo, kubingirisha nambari kubwa kwa 3 * 2 = 6 zaidi.\n Uwezekano mgani mkubwa zaidi (katika asilimia) kuwa atabingirisha nambari kubwa kwa 6 zaidi, 6 / 100 = 0.06.\n Uwezekano mgani mkubwa zaidi (katika asilimia) kuwa atabingirisha nambari kubwa kwa 3 zaidi, 3 / 100 = 0.03.\n Uwezekano mgani mkubwa zaidi (katika asilimia) kuwa atabingirisha nambari kubwa kwa 6 - 3 = 3 zaidi, 3 / 100 = 0.03.\n Uwezekano mgani mkubwa zaidi (katika asilimia) kuwa atabingirisha nambari kubwa kwa 3 zaidi, 3 / 100 = 0.03.\n Uwezekano mgani mkubwa zaidi (katika asilimia) kuwa atabingirisha nambari kubwa kwa 3 zaidi, 3 / 100 = 0.03.\n Uwezekano mgani mkubwa zaidi (katika asilimia) kuwa atabingirisha nambari kubwa kwa 3 zaidi, 3 / 100 = 0.03.\n Uwezekano mgani mkubwa zaidi (katika asilimia) kuwa atabingirisha nambari kubwa kwa 3 zaidi, 3 / \nYour Judgment:\n'}], 'judgement_gpt-4o': ["The golden answer to the question is 25, which represents the percentage likelihood of rolling a number greater than 3 on a six-sided die. The model's answer seems to misunderstand the question, as it includes a series of unrelated mathematical operations and percentages that don't correspond to the actions described in the golden answer. The model incorrectly calculates probabilities and presents 0.03 as the result, instead of the correct 25%. Therefore, the model's answer does not match the correct result given by the golden answer.\n\nScore: [[0]]"]}
0
0
[698]
[]
[' Jerry anacheza dadu yenye pande sita. \n Ana uwezekano mgani mkubwa zaidi (katika asilimia) kuwa atabingirisha nambari kubwa kwa 3 zaidi ya kubingirisha nambari mbili za zushfwa mara mbili mfululizo.\n Kubingirisha nambari kubwa kwa 3 zaidi ya kubingirisha nambari mbili za zushfwa mara mbili mfululizo, kubingirisha nambari kubwa kwa 3 * 2 = 6 zaidi.\n Uwezekano mgani mkubwa zaidi (katika asilimia) kuwa atabingirisha nambari kubwa kwa 6 zaidi, 6 / 100 = 0.06.\n Uwezekano mgani mkubwa zaidi (katika asilimia) kuwa atabingirisha nambari kubwa kwa 3 zaidi, 3 / 100 = 0.03.\n Uwezekano mgani mkubwa zaidi (katika asilimia) kuwa atabingirisha nambari kubwa kwa 6 - 3 = 3 zaidi, 3 / 100 = 0.03.\n Uwezekano mgani mkubwa zaidi (katika asilimia) kuwa atabingirisha nambari kubwa kwa 3 zaidi, 3 / 100 = 0.03.\n Uwezekano mgani mkubwa zaidi (katika asilimia) kuwa atabingirisha nambari kubwa kwa 3 zaidi, 3 / 100 = 0.03.\n Uwezekano mgani mkubwa zaidi (katika asilimia) kuwa atabingirisha nambari kubwa kwa 3 zaidi, 3 / 100 = 0.03.\n Uwezekano mgani mkubwa zaidi (katika asilimia) kuwa atabingirisha nambari kubwa kwa 3 zaidi, 3 / ']
{'question': 'Jerry anacheza dadu yenye pande sita. Ana uwezekano mgani mkubwa zaidi (katika asilimia) kuwa atabingirisha nambari kubwa kwa 3 zaidi ya kubingirisha nambari mbili za zushfwa mara mbili mfululizo?'}
[0]
['50']
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Question: Rosie anaweza kukimbia maili 10 kwa saa kwa saa 3 mfululizo. Baada ya hapo, atakimbia maili 5 kwa saa. Anaweza kukimbia maili ngapi kwa saa 7? Answer:
Question: Rosie anaweza kukimbia maili 10 kwa saa kwa saa 3 mfululizo. Baada ya hapo, atakimbia maili 5 kwa saa. Anaweza kukimbia maili ngapi kwa saa 7? Answer:
[]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Rosie anaweza kukimbia maili 10 kwa saa kwa saa 3 mfululizo. Baada ya hapo, atakimbia maili 5 kwa saa. Anaweza kukimbia maili ngapi kwa saa 7?\nGolden Answer: 50\nModel\'s Answer: Rosie anaweza kukimbia maili 10 kwa saa kwa saa 3 mfululizo, wakimbia 10 * 3 = 30 maili.\n Baada ya hapo, atakimbia maili 5 kwa saa.\n Kwa saa 7, anaweza kukimbia 30 + 5 = 35 maili.\n Kwa saa 7, Rosie anaweza kukimbia maili 35.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's answer is incorrect when compared to the golden answer. According to the problem, Rosie runs 10 miles per hour for 3 hours, which totals 30 miles. After this, she runs at a pace of 5 miles per hour. For a total of 7 hours, she can run an additional 20 miles at this pace (5 miles/hour * 4 hours = 20 miles). Adding both distances (30 + 20) should give the total distance of 50 miles, which matches the golden answer. However, the model only calculates up to 35 miles. Therefore, the model's answer does not align with the correct total distance according to the question's context.\n\nThe correctness score: [[0]]."]}
0
0
[714]
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[' Rosie anaweza kukimbia maili 10 kwa saa kwa saa 3 mfululizo, wakimbia 10 * 3 = 30 maili.\n Baada ya hapo, atakimbia maili 5 kwa saa.\n Kwa saa 7, anaweza kukimbia 30 + 5 = 35 maili.\n Kwa saa 7, Rosie anaweza kukimbia maili 35.']
{'question': 'Rosie anaweza kukimbia maili 10 kwa saa kwa saa 3 mfululizo. Baada ya hapo, atakimbia maili 5 kwa saa. Anaweza kukimbia maili ngapi kwa saa 7?'}
[0]
['27']
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Question: Morisette na Kael waliambiwa walete matunda. Morisette alileta tufaha 5 na machungwa 8, huku Kael alileta mara mbili ya idadi ya tufaha na nusu ya idadi ya machungwa ambayo Morisette alileta. Wana matunda ngapi kwa jumla? Answer:
Question: Morisette na Kael waliambiwa walete matunda. Morisette alileta tufaha 5 na machungwa 8, huku Kael alileta mara mbili ya idadi ya tufaha na nusu ya idadi ya machungwa ambayo Morisette alileta. Wana matunda ngapi kwa jumla? Answer:
[]
[0]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Morisette na Kael waliambiwa walete matunda. Morisette alileta tufaha 5 na machungwa 8, huku Kael alileta mara mbili ya idadi ya tufaha na nusu ya idadi ya machungwa ambayo Morisette alileta. Wana matunda ngapi kwa jumla?\nGolden Answer: 27\nModel\'s Answer: Morisette alileta tufaha 5 na machungwa 8.\n Kael alileta mara mbili ya idadi ya tufaha, walete 5 * 2 = 10 tufaha.\n Kael alileta nusu ya idadi ya machungwa, walete 8 / 2 = 4 machungwa.\n Wana matunda 5 + 10 + 4 = 15 + 4 = 19 kwa jumla.\n Wana matunda 19.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The question asks for the total number of fruits brought by Morisette and Kael. The golden answer states that the total number of fruits is 27. \n\nIn the model's answer, Morisette is correctly noted to have brought 5 apples and 8 oranges. Kael is noted to bring twice the number of apples (10) and half the number of oranges (4). Adding these together, according to the model's answer, results in 5 (Morisette's apples) + 8 (Morisette's oranges) + 10 (Kael's apples) + 4 (Kael's oranges) for a total of 27 fruits, which is consistent with the golden answer.\n\nHowever, the model incorrectly summarizes its calculation in the final step, incorrectly stating a total of 19 by adding inappropriately.\n\nThus, the model's answer, while making a calculation mistake at the end of the explanation, correctly follows the problem constraints and should have resulted in 27 fruits had the arithmetic been added correctly.\n\nDespite the computational error, the lines of calculation before the incorrect summary align with the process needed to obtain the correct golden answer if corrected, meaning the intent and procedural understanding were there, but execution faltered.\n\nNonetheless, based on the final answer provided, it doesn't match the golden answer.\n\nCorrectness score: [[0]]"]}
0
0
[694]
[]
[' Morisette alileta tufaha 5 na machungwa 8.\n Kael alileta mara mbili ya idadi ya tufaha, walete 5 * 2 = 10 tufaha.\n Kael alileta nusu ya idadi ya machungwa, walete 8 / 2 = 4 machungwa.\n Wana matunda 5 + 10 + 4 = 15 + 4 = 19 kwa jumla.\n Wana matunda 19.']
{'question': 'Morisette na Kael waliambiwa walete matunda. Morisette alileta tufaha 5 na machungwa 8, huku Kael alileta mara mbili ya idadi ya tufaha na nusu ya idadi ya machungwa ambayo Morisette alileta. Wana matunda ngapi kwa jumla?'}
[0]
['16']
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Question: Umri wa Seth ni mara mbili zaidi ya umri wa Brooke. Baada ya miaka 2, jumla ya umri wao utakuwa 28. Seth ana miaka mingapi? Answer:
Question: Umri wa Seth ni mara mbili zaidi ya umri wa Brooke. Baada ya miaka 2, jumla ya umri wao utakuwa 28. Seth ana miaka mingapi? Answer:
[]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Umri wa Seth ni mara mbili zaidi ya umri wa Brooke. Baada ya miaka 2, jumla ya umri wao utakuwa 28. Seth ana miaka mingapi?\nGolden Answer: 16\nModel\'s Answer: Umri wa Seth ni mara mbili zaidi ya umri wa Brooke.\n Brooke ana miaka 2.\n Seth ana 2 * 2 = 4 miaka.\n Baada ya miaka 2, jumla ya umri wao utakuwa 28.\n 2 + 4 + 2 = 6 + 2 = 8\n 28 - 8 = 20\n 20 - 2 = 18\n 18 - 4 = 14\n 14 - 2 = 12\n 12 - 4 = 8\n 8 - 2 = 6\n 6 - 4 = 2\n 2 - 2 = 0\n 0 - 4 = -4\n -4 - 2 = -6\n -6 - 2 = -8\n -8 - 4 = -12\n -12 - 2 = -14\n -14 - 4 = -18\n -18 - 2 = -20\n -20 - 4 = -24\n -24 - 2 = -26\n -26 - 4 = -30\n -30 - 2 = -32\n -32 - 4 = -36\n -36 - 2 = -38\n -38 - 4 = -42\n -42 - 2 = -44\n -44 - 4 = -48\n -48 - 2 = -50\n -50 - 4 = -54\n -54 - 2 = -56\n -56 - 4 = -60\n -60 - 2 = -62\n -62 - 4 = -66\n -66 - 2 = -68\n -68 - 4 = -72\n -72 - 2 = -74\n -74 - 4 = -78\n -78 - 2 = -80\n -80 - 4 = -84\n -84 - 2 = -86\n -86 - 4 = -90\n -90 - 2 = -92\n -92 - 4 = -96\n -96 - 2 = -98\n -98 - 4 = -102\n -102 - 2 = -104\n\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's answer does not correctly solve the problem and does not arrive at the golden answer. The solution presented in the model's answer is erroneous and contains incorrect calculations. It fails to accurately determine Seth's age, which is required to be 16 according to the golden answer. The model's sequence of arithmetic operations leads into a recursive negative series that doesn't relate to the problem at hand nor the context provided about Seth's age or the future sum of their ages. Therefore, the model's answer does not match the golden answer of 16.\n\nThe score: [[0]]"]}
0
0
[729]
[]
[' Umri wa Seth ni mara mbili zaidi ya umri wa Brooke.\n Brooke ana miaka 2.\n Seth ana 2 * 2 = 4 miaka.\n Baada ya miaka 2, jumla ya umri wao utakuwa 28.\n 2 + 4 + 2 = 6 + 2 = 8\n 28 - 8 = 20\n 20 - 2 = 18\n 18 - 4 = 14\n 14 - 2 = 12\n 12 - 4 = 8\n 8 - 2 = 6\n 6 - 4 = 2\n 2 - 2 = 0\n 0 - 4 = -4\n -4 - 2 = -6\n -6 - 2 = -8\n -8 - 4 = -12\n -12 - 2 = -14\n -14 - 4 = -18\n -18 - 2 = -20\n -20 - 4 = -24\n -24 - 2 = -26\n -26 - 4 = -30\n -30 - 2 = -32\n -32 - 4 = -36\n -36 - 2 = -38\n -38 - 4 = -42\n -42 - 2 = -44\n -44 - 4 = -48\n -48 - 2 = -50\n -50 - 4 = -54\n -54 - 2 = -56\n -56 - 4 = -60\n -60 - 2 = -62\n -62 - 4 = -66\n -66 - 2 = -68\n -68 - 4 = -72\n -72 - 2 = -74\n -74 - 4 = -78\n -78 - 2 = -80\n -80 - 4 = -84\n -84 - 2 = -86\n -86 - 4 = -90\n -90 - 2 = -92\n -92 - 4 = -96\n -96 - 2 = -98\n -98 - 4 = -102\n -102 - 2 = -104\n']
{'question': 'Umri wa Seth ni mara mbili zaidi ya umri wa Brooke. Baada ya miaka 2, jumla ya umri wao utakuwa 28. Seth ana miaka mingapi?'}
[0]
['460']
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Question: Kiwango cha Eliza kila saa kwa saa 40 za kwanza anazofanya kazi kila wiki ni $10. Pia anapokea malipo ya muda wa ziada ya mara 1.2 ya malipo yake ya kawaida ya saa. Iwapo Eliza alifanya kazi kwa saa 45 wiki hii, mapato yake ya wiki hii ni ngapi? Answer:
Question: Kiwango cha Eliza kila saa kwa saa 40 za kwanza anazofanya kazi kila wiki ni $10. Pia anapokea malipo ya muda wa ziada ya mara 1.2 ya malipo yake ya kawaida ya saa. Iwapo Eliza alifanya kazi kwa saa 45 wiki hii, mapato yake ya wiki hii ni ngapi? Answer:
[]
[0]
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1980, 262, 22559, 512, 257], device='cuda:0')]
{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Kiwango cha Eliza kila saa kwa saa 40 za kwanza anazofanya kazi kila wiki ni $10. Pia anapokea malipo ya muda wa ziada ya mara 1.2 ya malipo yake ya kawaida ya saa. Iwapo Eliza alifanya kazi kwa saa 45 wiki hii, mapato yake ya wiki hii ni ngapi?\nGolden Answer: 460\nModel\'s Answer: Eliza kila saa kwa saa 40 za kwanza anazofanya kazi kila wiki ni $10.\n Pia anapokea malipo ya muda wa ziada ya mara 1.2 ya malipo yake ya kawaida ya saa.\n Malipo yake ya kawaida ya saa $10 * 1.2 = $12.\n Malipo yake ya muda wa ziada $12 * 1.2 = $14.4.\n Iwapo Eliza alifanya kazi kwa saa 45 wiki hii, mapato yake ya wiki hii $10 * 45 + $14.4 * 45 = $450 + $648 = $1098.\n Mapato yake ya wiki hii $1098.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The problem requires calculating Eliza's weekly earnings, given that she worked 45 hours, with her hourly wage for the first 40 hours being $10 and an overtime rate of 1.2 times her regular wage. For the first 40 hours, she earns 40 * $10 = $400. For the 5 overtime hours, she earns 5 * ($10 * 1.2) = 5 * $12 = $60. Therefore, her total earnings for the week should be $400 + $60 = $460.\n\nThe model's answer incorrectly calculates the overtime pay and total earnings. The model incorrectly computes the overtime rate and applies it to all 45 hours instead of just the overtime hours beyond the initial 40 hours. Consequently, the model's calculated total earnings of $1098 is incorrect and does not match the golden answer of $460.\n\nThe model's answer does not align with the golden answer.\n\nScore: [[0]]"]}
0
0
[677]
[]
[' Eliza kila saa kwa saa 40 za kwanza anazofanya kazi kila wiki ni $10.\n Pia anapokea malipo ya muda wa ziada ya mara 1.2 ya malipo yake ya kawaida ya saa.\n Malipo yake ya kawaida ya saa $10 * 1.2 = $12.\n Malipo yake ya muda wa ziada $12 * 1.2 = $14.4.\n Iwapo Eliza alifanya kazi kwa saa 45 wiki hii, mapato yake ya wiki hii $10 * 45 + $14.4 * 45 = $450 + $648 = $1098.\n Mapato yake ya wiki hii $1098.']
{'question': 'Kiwango cha Eliza kila saa kwa saa 40 za kwanza anazofanya kazi kila wiki ni $10. Pia anapokea malipo ya muda wa ziada ya mara 1.2 ya malipo yake ya kawaida ya saa. Iwapo Eliza alifanya kazi kwa saa 45 wiki hii, mapato yake ya wiki hii ni ngapi?'}
[0]
['100']
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Question: Katika mbio iliyo na Waasia 240, 80 walikuwa Wajapani, na waliosalia walikuwa Wachina. Ikiwa idadi ya wavulana kwenye timu ya Wachina ilikuwa 60, wasichana wangapi walikuwa katika timu ya Wachina? Answer:
Question: Katika mbio iliyo na Waasia 240, 80 walikuwa Wajapani, na waliosalia walikuwa Wachina. Ikiwa idadi ya wavulana kwenye timu ya Wachina ilikuwa 60, wasichana wangapi walikuwa katika timu ya Wachina? Answer:
[]
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{'judge_score_gpt-4o': 1, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Katika mbio iliyo na Waasia 240, 80 walikuwa Wajapani, na waliosalia walikuwa Wachina. Ikiwa idadi ya wavulana kwenye timu ya Wachina ilikuwa 60, wasichana wangapi walikuwa katika timu ya Wachina?\nGolden Answer: 100\nModel\'s Answer: Katika mbio iliyo na Waasia 240, 80 walikuwa Wajapani. \n Idadi ya wajapani na wachina kwenye mbio iliyo na Waasia 240 ni 80 + 60 = 140. \n Idadi ya wachina kwenye mbio iliyo na Waasia 240 ni 240 - 140 = 100. \n Kwa haka, 100 wachina walikuwa katika timu ya Wachina.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The question asks for the number of girls in the Chinese team. The total number of participants is 240, with 80 Japanese, leaving 240 - 80 = 160 Chinese participants. Since there are 60 boys in the Chinese team, the number of girls is 160 - 60 = 100. \n\nThe golden answer provides the correct calculation and result: 100.\n\nThe model's answer contains errors in its explanation. It inaccurately calculates and interprets the problem, resulting in 100, but erroneously as the total Chinese participants rather than specifically identifying them as the number of girls.\n\nAlthough both the golden and the model's answer conclude with the value 100, the reasoning process has significant errors in the model's answer. However, the final numerical answer aligns with the golden answer, which is 100. Since the task here is to judge if the model's answer is equal to the golden answer, not evaluating reasoning correctness, the score for equivalence is:\n\n[[1]]"]}
0
0
[702]
[]
[' Katika mbio iliyo na Waasia 240, 80 walikuwa Wajapani. \n Idadi ya wajapani na wachina kwenye mbio iliyo na Waasia 240 ni 80 + 60 = 140. \n Idadi ya wachina kwenye mbio iliyo na Waasia 240 ni 240 - 140 = 100. \n Kwa haka, 100 wachina walikuwa katika timu ya Wachina.']
{'question': 'Katika mbio iliyo na Waasia 240, 80 walikuwa Wajapani, na waliosalia walikuwa Wachina. Ikiwa idadi ya wavulana kwenye timu ya Wachina ilikuwa 60, wasichana wangapi walikuwa katika timu ya Wachina?'}
[0]
['6277']
[[tensor([ 735, 8733, 289, 587, 18291, 220, 14590, 4218, 45356, 11755, 503, 35973, 1208, 97172, 627, 257, 72118, 1662, 84309, 36040, 289, 3444, 3972, 220, 25496, 22, 4415, 78853, 675, 731, 220, 21278, 17, 11, 597, 8733, 220, 25496, 22, 489, 220, 21278, 17, 284, 220, 10005, 2545, 289, 587, 18291, 627, 257, 735, 8733, 30125, 2117, 220, 14590, 4218, 482, 220, 10005, 2545, 284, 220, 17416, 22, 627, 257, 735, 8733, 30125, 2117, 220, 17416, 22, 45356, 11755, 503, 35973, 1208, 97172, 13, 128009], device='cuda:0')]]
Question: Katika jiji la Soda, kuna wakazi 23786. Wanajumuisha wanaume 8417 na wanawake 9092. Watu wengine waliosalia ni watoto. Kuna watoto wangapi katika jiji la Soda? Answer:
Question: Katika jiji la Soda, kuna wakazi 23786. Wanajumuisha wanaume 8417 na wanawake 9092. Watu wengine waliosalia ni watoto. Kuna watoto wangapi katika jiji la Soda? Answer:
[]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Katika jiji la Soda, kuna wakazi 23786. Wanajumuisha wanaume 8417 na wanawake 9092. Watu wengine waliosalia ni watoto. Kuna watoto wangapi katika jiji la Soda?\nGolden Answer: 6277\nModel\'s Answer: Kuna wakazi 23786 katika jiji la Soda.\n Wanajumuisha wanaume 8417 na wanawake 9092, kuna 8417 + 9092 = 17509 wakazi.\n Kuna watoto 23786 - 17509 = 6207.\n Kuna watoto 6207 katika jiji la Soda.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The question asks for the number of children in the city of Soda. The total population is 23,786, consisting of 8,417 men and 9,092 women. Subtracting the sum of men and women from the total population should give the number of children. \n\nCalculating this: \n- Sum of men and women: 8,417 + 9,092 = 17,509\n- Number of children: 23,786 - 17,509 = 6,277\n\nThe golden answer is 6,277, which is the correct calculation.\n\nThe model's answer, however, mistakenly subtracts from 17,509 to get 6,207 instead of the correct 6,277. Therefore, the model's answer does not match the golden answer.\n\nThe correctness score: [[0]]."]}
0
0
[718]
[]
[' Kuna wakazi 23786 katika jiji la Soda.\n Wanajumuisha wanaume 8417 na wanawake 9092, kuna 8417 + 9092 = 17509 wakazi.\n Kuna watoto 23786 - 17509 = 6207.\n Kuna watoto 6207 katika jiji la Soda.']
{'question': 'Katika jiji la Soda, kuna wakazi 23786. Wanajumuisha wanaume 8417 na wanawake 9092. Watu wengine waliosalia ni watoto. Kuna watoto wangapi katika jiji la Soda?'}
[0]
['25']
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Question: Ryan hupanda mua 2 kwa siku katika bustani lake. Baada ya siku 15, atakuwa na maua mangapi iwapo maua 5 hayakumea? Answer:
Question: Ryan hupanda mua 2 kwa siku katika bustani lake. Baada ya siku 15, atakuwa na maua mangapi iwapo maua 5 hayakumea? Answer:
[]
[0]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Ryan hupanda mua 2 kwa siku katika bustani lake. Baada ya siku 15, atakuwa na maua mangapi iwapo maua 5 hayakumea?\nGolden Answer: 25\nModel\'s Answer: Ryan hupanda mua 2 kwa siku. \n Baada ya siku 15, atakuwa na 2 * 15 = 30 mua.\n Iwapo, atakuwa na 5 hayakumea.\n Maua 5 hayakumea na 30 mua na siku 15, atakuwa na 30 + 5 = 35 mua.\n Ryan hupanda 2 kwa siku, atakuwa na 35 / 2 = 17.5 siku.\n Siku 17.5, atakuwa na 2 * 17.5 = 35 mua.\n Iwapo, atakuwa na 5 hayakumea.\n Maua 5 hayakumea na 35 mua na siku 17.5, atakuwa na 35 + 5 = 40 mua.\n Ryan hupanda 2 kwa siku, atakuwa na 40 / 2 = 20 siku.\n Siku 20, atakuwa na 2 * 20 = 40 mua.\n Iwapo, atakuwa na 5 hayakumea.\n Maua 5 hayakumea na 40 mua na siku 20, atakuwa na 40 + 5 = 45 mua.\n Ryan hupanda 2 kwa siku, atakuwa na 45 / 2 = 22.5 siku.\n Siku 22.5, atakuwa na 2 * 22.5 = 45 mua.\n Iwapo, atakuwa na 5 hayakumea.\n Maua 5 hayakumea na 45 mua na siku 22.5, atakuwa na 45 + 5 = 50 mua.\n Ryan hupanda 2 kwa siku, atakuwa na 50 / 2 = 25 siku.\n Siku 25, atakuwa na 2 * 25 = 50 mua.\n Iwapo, atakuwa na 5 hayakumea.\n Maua 5 hayakumea na 50 mua na siku 25, atakuwa na 50 + 5 = 55 mua.\n Ryan hupanda 2 kwa siku, atakuwa na 55 / 2 =\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The question asks how many flowers Ryan will have after 15 days if 5 flowers did not sprout. Ryan plants 2 flowers per day, hence after 15 days, he should have planted 30 flowers. However, since 5 of these flowers did not sprout, the total number of flowers that successfully sprouted is 30 - 5 = 25 flowers, which matches the given golden answer of 25.\n\nThe model's answer contains incorrect and unnecessary calculations, leading to a miscalculation of the final answer. The model's answer does not converge to the correct final answer of 25. Based on the inaccurate calculations and the mismatch with the golden answer, the correctness score is [[0]]."]}
0
0
[731]
[]
[' Ryan hupanda mua 2 kwa siku. \n Baada ya siku 15, atakuwa na 2 * 15 = 30 mua.\n Iwapo, atakuwa na 5 hayakumea.\n Maua 5 hayakumea na 30 mua na siku 15, atakuwa na 30 + 5 = 35 mua.\n Ryan hupanda 2 kwa siku, atakuwa na 35 / 2 = 17.5 siku.\n Siku 17.5, atakuwa na 2 * 17.5 = 35 mua.\n Iwapo, atakuwa na 5 hayakumea.\n Maua 5 hayakumea na 35 mua na siku 17.5, atakuwa na 35 + 5 = 40 mua.\n Ryan hupanda 2 kwa siku, atakuwa na 40 / 2 = 20 siku.\n Siku 20, atakuwa na 2 * 20 = 40 mua.\n Iwapo, atakuwa na 5 hayakumea.\n Maua 5 hayakumea na 40 mua na siku 20, atakuwa na 40 + 5 = 45 mua.\n Ryan hupanda 2 kwa siku, atakuwa na 45 / 2 = 22.5 siku.\n Siku 22.5, atakuwa na 2 * 22.5 = 45 mua.\n Iwapo, atakuwa na 5 hayakumea.\n Maua 5 hayakumea na 45 mua na siku 22.5, atakuwa na 45 + 5 = 50 mua.\n Ryan hupanda 2 kwa siku, atakuwa na 50 / 2 = 25 siku.\n Siku 25, atakuwa na 2 * 25 = 50 mua.\n Iwapo, atakuwa na 5 hayakumea.\n Maua 5 hayakumea na 50 mua na siku 25, atakuwa na 50 + 5 = 55 mua.\n Ryan hupanda 2 kwa siku, atakuwa na 55 / 2 =']
{'question': 'Ryan hupanda mua 2 kwa siku katika bustani lake. Baada ya siku 15, atakuwa na maua mangapi iwapo maua 5 hayakumea?'}
[0]
['540']
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Question: James anaamua kukimbia mbio 3 fupi mara 3 kwa wiki. Anakimbia mita 60 kwa kila mbio fupi. Huwa anakimbia jumla ya mita ngapi kwa wiki? Answer:
Question: James anaamua kukimbia mbio 3 fupi mara 3 kwa wiki. Anakimbia mita 60 kwa kila mbio fupi. Huwa anakimbia jumla ya mita ngapi kwa wiki? Answer:
[]
[0]
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{'judge_score_gpt-4o': 1, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: James anaamua kukimbia mbio 3 fupi mara 3 kwa wiki. Anakimbia mita 60 kwa kila mbio fupi. Huwa anakimbia jumla ya mita ngapi kwa wiki?\nGolden Answer: 540\nModel\'s Answer: James anaamua kukimbia mbio 3 fupi mara 3 kwa wiki. \n Kwa kila mbio fupi, anakimbia mita 60. \n Kwa mara 3, anakimbia 3 * 60 = 180 mita. \n Kwa wiki, anakimbia 3 * 180 = 540 mita. \n James anakimbia jumla ya mita 540 kwa wiki.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The question asks how many meters James runs in total per week, given that he runs 3 short races (60 meters each) three times a week. The model's answer calculates this correctly by first determining the meters run per session (3 races * 60 meters = 180 meters) and then multiplying by the number of weekly sessions (3 times a week * 180 meters = 540 meters). The model's final answer of 540 meters matches the golden answer.\n\nThe model and the groundtruth answer are the same. The score: [[1]]"]}
0
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[719]
[]
[' James anaamua kukimbia mbio 3 fupi mara 3 kwa wiki. \n Kwa kila mbio fupi, anakimbia mita 60. \n Kwa mara 3, anakimbia 3 * 60 = 180 mita. \n Kwa wiki, anakimbia 3 * 180 = 540 mita. \n James anakimbia jumla ya mita 540 kwa wiki.']
{'question': 'James anaamua kukimbia mbio 3 fupi mara 3 kwa wiki. Anakimbia mita 60 kwa kila mbio fupi. Huwa anakimbia jumla ya mita ngapi kwa wiki?'}
[0]
['5']
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Question: Meli ya Tom inaweza kusafiri kwa kasi ya maili 10 kwa saa. Anasafiri kuanzia saa 7 mchana hadi saa 10 jioni. Kisha anasafiri akirudi kwa kasi ya maili 6 kwa saa. Itamchukua muda gani kurudi? Answer:
Question: Meli ya Tom inaweza kusafiri kwa kasi ya maili 10 kwa saa. Anasafiri kuanzia saa 7 mchana hadi saa 10 jioni. Kisha anasafiri akirudi kwa kasi ya maili 6 kwa saa. Itamchukua muda gani kurudi? Answer:
[]
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296, 8213, 342, 5676, 28364, 21178, 1980, 262, 22559, 512, 257], device='cuda:0')]
{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Meli ya Tom inaweza kusafiri kwa kasi ya maili 10 kwa saa. Anasafiri kuanzia saa 7 mchana hadi saa 10 jioni. Kisha anasafiri akirudi kwa kasi ya maili 6 kwa saa. Itamchukua muda gani kurudi?\nGolden Answer: 5\nModel\'s Answer: Tom anasafiri kwa kasi ya maili 10 kwa saa. \n Anasafiri kuanzia saa 7 mchana hadi saa 10 jioni, kwa kasi ya maili 10 kwa saa. \n Kwa kasi ya maili 10 kwa saa, saa 7 mchana - saa 10 jioni = 3 saa. \n Kisha anasafiri akirudi kwa kasi ya maili 6 kwa saa. \n Kwa kasi ya maili 6 kwa saa, saa 10 jioni - saa 7 mchana = 3 saa. \n Kwa kasi ya maili 6 kwa saa, saa 3 = 3 * 6 = 18 maili. \n Kwa kasi ya maili 10 kwa saa, saa 3 = 3 * 10 = 30 maili. \n Kwa kasi ya maili 6 kwa saa, saa 3 = 3 * 6 = 18 maili. \n Kwa kasi ya maili 10 kwa saa, saa 3 = 3 * 10 = 30 maili. \n Kwa kasi ya maili 6 kwa saa, saa 3 = 3 * 6 = 18 maili. \n Kwa kasi ya maili 10 kwa saa, saa 3 = 3 * 10 = 30 maili. \n Kwa kasi ya maili 6 kwa saa, saa 3 = 3 * 6 = 18 maili. \n Kwa kasi ya maili 10 kwa saa, saa 3 = 3 * 10 = 30 maili. \n Kwa kasi ya maili 6 kwa saa, saa 3 = 3 * 6 = 18 maili. \n Kwa kasi ya maili 10 kwa saa, saa 3 = 3 * 10 = 30 maili. \n Kwa kasi ya maili 6 kwa saa, saa 3 = 3 * 6 = 18 maili. \n Kwa k\nYour Judgment:\n'}], 'judgement_gpt-4o': ["In the given problem, Tom travels at a speed of 10 miles per hour for a duration from 7 PM to 10 PM, which totals 3 hours. During this time, he would have traveled a distance of 30 miles (10 miles/hour * 3 hours). The model's answer should then address how long it takes to return at a speed of 6 miles per hour. The correct time taken would be the total distance divided by the return speed, 30 miles / 6 miles per hour = 5 hours. However, the model's answer does not clearly arrive at this result and is instead mostly repetitive. The model answer does not provide the correct travel time for returning, hence it does not match the golden answer. The score is: [[0]]."]}
0
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[694]
[]
[' Tom anasafiri kwa kasi ya maili 10 kwa saa. \n Anasafiri kuanzia saa 7 mchana hadi saa 10 jioni, kwa kasi ya maili 10 kwa saa. \n Kwa kasi ya maili 10 kwa saa, saa 7 mchana - saa 10 jioni = 3 saa. \n Kisha anasafiri akirudi kwa kasi ya maili 6 kwa saa. \n Kwa kasi ya maili 6 kwa saa, saa 10 jioni - saa 7 mchana = 3 saa. \n Kwa kasi ya maili 6 kwa saa, saa 3 = 3 * 6 = 18 maili. \n Kwa kasi ya maili 10 kwa saa, saa 3 = 3 * 10 = 30 maili. \n Kwa kasi ya maili 6 kwa saa, saa 3 = 3 * 6 = 18 maili. \n Kwa kasi ya maili 10 kwa saa, saa 3 = 3 * 10 = 30 maili. \n Kwa kasi ya maili 6 kwa saa, saa 3 = 3 * 6 = 18 maili. \n Kwa kasi ya maili 10 kwa saa, saa 3 = 3 * 10 = 30 maili. \n Kwa kasi ya maili 6 kwa saa, saa 3 = 3 * 6 = 18 maili. \n Kwa kasi ya maili 10 kwa saa, saa 3 = 3 * 10 = 30 maili. \n Kwa kasi ya maili 6 kwa saa, saa 3 = 3 * 6 = 18 maili. \n Kwa kasi ya maili 10 kwa saa, saa 3 = 3 * 10 = 30 maili. \n Kwa kasi ya maili 6 kwa saa, saa 3 = 3 * 6 = 18 maili. \n Kwa k']
{'question': 'Meli ya Tom inaweza kusafiri kwa kasi ya maili 10 kwa saa. Anasafiri kuanzia saa 7 mchana hadi saa 10 jioni. Kisha anasafiri akirudi kwa kasi ya maili 6 kwa saa. Itamchukua muda gani kurudi?'}
[0]
['125']
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Question: Mfanyabiashara anataka kufanya chaguo la ununuzi kati ya mipango 2 ya ununuzi: mapambo ya kito yenye thamani ya $5,000 au vifaa vya eletroniki vyenye thamani ya $8,000. Mshauri wake wa kifedha anakadiria kuwa soko la mapambo ya kito litapanda hadi 2.5% huku soko la vifaa vya elektroniki litapanda hadi 1.2% ndani ya mwezi huo mmoja. Iwapo mfanyabiashara huyo anataka kuwa na faida za juu zaidi mwishoni mwa mwezi huu kwa kufanya chaguo, hii itakuwa faida ya kiasi gani? Answer:
Question: Mfanyabiashara anataka kufanya chaguo la ununuzi kati ya mipango 2 ya ununuzi: mapambo ya kito yenye thamani ya $5,000 au vifaa vya eletroniki vyenye thamani ya $8,000. Mshauri wake wa kifedha anakadiria kuwa soko la mapambo ya kito litapanda hadi 2.5% huku soko la vifaa vya elektroniki litapanda hadi 1.2% ndani ya mwezi huo mmoja. Iwapo mfanyabiashara huyo anataka kuwa na faida za juu zaidi mwishoni mwa mwezi huu kwa kufanya chaguo, hii itakuwa faida ya kiasi gani? Answer:
[]
[0]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Mfanyabiashara anataka kufanya chaguo la ununuzi kati ya mipango 2 ya ununuzi: mapambo ya kito yenye thamani ya $5,000 au vifaa vya eletroniki vyenye thamani ya $8,000. Mshauri wake wa kifedha anakadiria kuwa soko la mapambo ya kito litapanda hadi 2.5% huku soko la vifaa vya elektroniki litapanda hadi 1.2% ndani ya mwezi huo mmoja. Iwapo mfanyabiashara huyo anataka kuwa na faida za juu zaidi mwishoni mwa mwezi huu kwa kufanya chaguo, hii itakuwa faida ya kiasi gani?\nGolden Answer: 125\nModel\'s Answer: Mfanyabiashara anataka kufanya chaguo la ununuzi kati ya mipango 2 ya ununuzi: mapambo ya kito yenye thamani ya $5,000 au vifaa vya eletroniki vyenye thamani ya $8,000.\n Soko la mapambo ya kito litapanda hadi 2.5% mwezi huo mmoja, kufanya chaguo la mapambo ya kito kwa $5,000 * 2.5 / 100 = 12,500 / 100 = $125.\n Soko la vifaa vya eletroniki litapanda hadi 1.2% mwezi huo mmoja, kufanya chaguo la vifaa vya eletroniki kwa $8,000 * 1.2 / 100 = 9,600 / 100 = $96.\n Mfanyabiashara huyo anataka kuwa na faida za juu zaidi mwezi huo mmoja kwa kufanya chaguo, hii itakuwa faida ya kiasi gani $125 - 96 = $29.\n Mfanyabiashara huyo anataka kuwa na faida ya kiasi gani $29.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The mathematics question asks for the highest profit at the end of a month between two investment options: jewelry or electronics, based on their respective appreciation rates. The jewelry, valued at $5,000, increases by 2.5%, resulting in a profit of $125. The electronics, valued at $8,000, increase by 1.2%, resulting in a profit of $96. The highest profit option is the jewelry, giving a profit of $125.\n\nThe model's answer correctly calculates both potential profits: $125 from jewelry and $96 from electronics. However, the model incorrectly focuses on subtracting $96 from $125, arriving at $29 as its final answer, which is unnecessary for the question asked. The correct final profit, as per the question's requirement for the highest profit, should be $125.\n\nGiven the inclusion of an additional and irrelevant calculation, the model's final numerical answer does not match the golden answer. Therefore, the correctness score is: [[0]]."]}
0
0
[589]
[]
[' Mfanyabiashara anataka kufanya chaguo la ununuzi kati ya mipango 2 ya ununuzi: mapambo ya kito yenye thamani ya $5,000 au vifaa vya eletroniki vyenye thamani ya $8,000.\n Soko la mapambo ya kito litapanda hadi 2.5% mwezi huo mmoja, kufanya chaguo la mapambo ya kito kwa $5,000 * 2.5 / 100 = 12,500 / 100 = $125.\n Soko la vifaa vya eletroniki litapanda hadi 1.2% mwezi huo mmoja, kufanya chaguo la vifaa vya eletroniki kwa $8,000 * 1.2 / 100 = 9,600 / 100 = $96.\n Mfanyabiashara huyo anataka kuwa na faida za juu zaidi mwezi huo mmoja kwa kufanya chaguo, hii itakuwa faida ya kiasi gani $125 - 96 = $29.\n Mfanyabiashara huyo anataka kuwa na faida ya kiasi gani $29.']
{'question': 'Mfanyabiashara anataka kufanya chaguo la ununuzi kati ya mipango 2 ya ununuzi: mapambo ya kito yenye thamani ya $5,000 au vifaa vya eletroniki vyenye thamani ya $8,000. Mshauri wake wa kifedha anakadiria kuwa soko la mapambo ya kito litapanda hadi 2.5% huku soko la vifaa vya elektroniki litapanda hadi 1.2% ndani ya mwezi huo mmoja. Iwapo mfanyabiashara huyo anataka kuwa na faida za juu zaidi mwishoni mwa mwezi huu kwa kufanya chaguo, hii itakuwa faida ya kiasi gani?'}
[0]
['24']
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Question: Christina anapanga sherehe ya siku ya kuzaliwa na anahitaji mikoba .75 ya zawadi kwa kila mgeni aliyealikwa, kwa sababu 1/4 ya wahudhuriaji hawakuhudhuria. Alialika marafiki 16. Mikoba ya zawadi ni $2 kila moja. Atatumia pesa ngapi? Answer:
Question: Christina anapanga sherehe ya siku ya kuzaliwa na anahitaji mikoba .75 ya zawadi kwa kila mgeni aliyealikwa, kwa sababu 1/4 ya wahudhuriaji hawakuhudhuria. Alialika marafiki 16. Mikoba ya zawadi ni $2 kila moja. Atatumia pesa ngapi? Answer:
[]
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18541, 64, 7933, 2113, 1980, 262, 22559, 512, 257], device='cuda:0')]
{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Christina anapanga sherehe ya siku ya kuzaliwa na anahitaji mikoba .75 ya zawadi kwa kila mgeni aliyealikwa, kwa sababu 1/4 ya wahudhuriaji hawakuhudhuria. Alialika marafiki 16. Mikoba ya zawadi ni $2 kila moja. Atatumia pesa ngapi?\nGolden Answer: 24\nModel\'s Answer: 1/4 ya 16 marafiki hawakuhudhuria, kwa sababu 1/4 * 16 = 0.25 * 16 = 4 marafiki hawakuhudhuria.\n Kila mgeni aliyealikwa, kwa sababu 16 - 4 = 12 marafiki, anahitaji mikoba 0.75 ya zawadi.\n Kila mikoba ya zawadi ni $2, kwa sababu 12 * 0.75 * 2 = 9 * 2 = 18$.\n Atatumia pesa 18.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's answer provides a step-by-step solution to find how much Christina will spend on gift bags. It calculates the number of attendees correctly as \\(16 - 4 = 12\\). It then calculates the number of gift bags needed: \\(12 \\times 0.75\\). However, the calculation of the final cost is incorrect. The correct multiplication should be \\(12 \\times 0.75 \\times 2 = 18\\), whereas the outcome of this calculation is stated as $18, which matches the operation correctly. Consequently, the conclusion that Christina will spend $18 contradicts the golden answer of 24. Therefore, the model's answer does not match the golden answer.\n\nThe correctness score: [[0]]."]}
0
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[683]
[]
[' 1/4 ya 16 marafiki hawakuhudhuria, kwa sababu 1/4 * 16 = 0.25 * 16 = 4 marafiki hawakuhudhuria.\n Kila mgeni aliyealikwa, kwa sababu 16 - 4 = 12 marafiki, anahitaji mikoba 0.75 ya zawadi.\n Kila mikoba ya zawadi ni $2, kwa sababu 12 * 0.75 * 2 = 9 * 2 = 18$.\n Atatumia pesa 18.']
{'question': 'Christina anapanga sherehe ya siku ya kuzaliwa na anahitaji mikoba .75 ya zawadi kwa kila mgeni aliyealikwa, kwa sababu 1/4 ya wahudhuriaji hawakuhudhuria. Alialika marafiki 16. Mikoba ya zawadi ni $2 kila moja. Atatumia pesa ngapi?'}
[0]
['145']
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Question: Bei ya dazeni ishirini za vikombe ni $1200 kidogo kwa jumla ya gharama ya nusu dazeni ya sahani zinazouzwa $6000 kila moja. Piga hesabu ya jumla ya bei ya kila kikombe. Answer:
Question: Bei ya dazeni ishirini za vikombe ni $1200 kidogo kwa jumla ya gharama ya nusu dazeni ya sahani zinazouzwa $6000 kila moja. Piga hesabu ya jumla ya bei ya kila kikombe. Answer:
[]
[0]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Bei ya dazeni ishirini za vikombe ni $1200 kidogo kwa jumla ya gharama ya nusu dazeni ya sahani zinazouzwa $6000 kila moja. Piga hesabu ya jumla ya bei ya kila kikombe.\nGolden Answer: 145\nModel\'s Answer: Jumla ya gharama ya nusu dazeni ya sahani zinazouzwa $6000 kila moja.\n Nusu dazeni ya sahani zinazouzwa $6000 * 2 = $12000.\n Jumla ya gharama ya dazeni ishirini za vikombe ni $1200 kidogo kwa jumla ya nusu dazeni ya sahani zinazouzwa $12000.\n Jumla ya gharama ya dazeni ishirini za vikombe ni $12000 - $1200 = $10800.\n Jumla ya bei ya kila kikombe ni $10800 / 11 = $990.\n Jumla ya bei ya kila kikombe ni $990.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The question requires calculating the price of each cup, given that the total cost of twenty dozen cups is $1200 less than the total cost of half a dozen plates sold at $6000 each. The golden answer provides the price of one cup as 145.\n\nAnalyzing the model's answer:\n1. It correctly calculates the cost of half a dozen plates as $6000 * 2 = $12000.\n2. The model states that the total cost of twenty dozen cups is $1200 less than $12000, correctly calculating it as $12000 - $1200 = $10800. However, the correct calculation for a half dozen is $6000 * 6 = $36000, so $1200 less would be $34800, not $10800.\n3. The model incorrectly divides $10800 by 11 to get the price per cup as $990. Furthermore, the divisor should be based on the twenty dozen cups (i.e., 240 cups), not 11.\n\nOverall, the model's answer does not match the golden answer and contains fundamental errors in the calculation process. The score: [[0]]."]}
0
0
[708]
[]
[' Jumla ya gharama ya nusu dazeni ya sahani zinazouzwa $6000 kila moja.\n Nusu dazeni ya sahani zinazouzwa $6000 * 2 = $12000.\n Jumla ya gharama ya dazeni ishirini za vikombe ni $1200 kidogo kwa jumla ya nusu dazeni ya sahani zinazouzwa $12000.\n Jumla ya gharama ya dazeni ishirini za vikombe ni $12000 - $1200 = $10800.\n Jumla ya bei ya kila kikombe ni $10800 / 11 = $990.\n Jumla ya bei ya kila kikombe ni $990.']
{'question': 'Bei ya dazeni ishirini za vikombe ni $1200 kidogo kwa jumla ya gharama ya nusu dazeni ya sahani zinazouzwa $6000 kila moja. Piga hesabu ya jumla ya bei ya kila kikombe.'}
[0]
['44']
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Question: Gene anashona mfarishi kwa kutumia tisheti za kale za ukumbusho. Ana shati moja kutoka kwa kila likizo aliyowahi kwenda. Kila shati ni pande kubwa la mfarishi wake. Kila safu imeundwa kwa pande kubwa kutoka mwaka tofauti wa likizo. Huwa anaenda likizo nne kwa mwaka na amekuwa akienda likizo tangu alipokuwa na umri wa miaka 23. Sasa ana umri wa miaka 34. Ana pande kubwa za mfarishi ngapi kwa jumla? Answer:
Question: Gene anashona mfarishi kwa kutumia tisheti za kale za ukumbusho. Ana shati moja kutoka kwa kila likizo aliyowahi kwenda. Kila shati ni pande kubwa la mfarishi wake. Kila safu imeundwa kwa pande kubwa kutoka mwaka tofauti wa likizo. Huwa anaenda likizo nne kwa mwaka na amekuwa akienda likizo tangu alipokuwa na umri wa miaka 23. Sasa ana umri wa miaka 34. Ana pande kubwa za mfarishi ngapi kwa jumla? Answer:
[]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Gene anashona mfarishi kwa kutumia tisheti za kale za ukumbusho. Ana shati moja kutoka kwa kila likizo aliyowahi kwenda. Kila shati ni pande kubwa la mfarishi wake. Kila safu imeundwa kwa pande kubwa kutoka mwaka tofauti wa likizo. Huwa anaenda likizo nne kwa mwaka na amekuwa akienda likizo tangu alipokuwa na umri wa miaka 23. Sasa ana umri wa miaka 34. Ana pande kubwa za mfarishi ngapi kwa jumla?\nGolden Answer: 44\nModel\'s Answer: Ana shati moja kutoka kwa kila likizo aliyowahi kwenda.\n Kila shati ni pande kubwa la mfarishi wake.\n Kila safu imeundwa kwa pande kubwa kutoka mwaka tofauti wa likizo.\n Ana amekuwa akienda likizo tangu alipokuwa na umri wa miaka 23.\n Sasa ana umri wa miaka 34.\n Kwa jumla, ana amekuwa akienda likizo 34 - 23 = 11.\n Kila shati ni pande kubwa la mfarishi wake, kwa jumla ana 11 * 2 = 22 pande kubwa.\n Kwa jumla, ana 22 pande kubwa za mfarishi.\nYour Judgment:\n'}], 'judgement_gpt-4o': ['The question states that Gene goes on vacations four times each year. He has been on vacations since he was 23 and is now 34, making it 11 years of going on vacations. Therefore, the total number of vacations he has taken is 11 years * 4 vacations per year = 44 vacations, which are also the number of large quilt pieces. The gold answer is 44. However, the model computes the number of vacations incorrectly, calculating 11 years of vacations but then stating only 22 large quilt pieces by incorrectly using 2 vacations per year instead of 4. \n\nThe model answer does not match the golden answer. The correctness score: [[0]].']}
0
0
[625]
[]
[' Ana shati moja kutoka kwa kila likizo aliyowahi kwenda.\n Kila shati ni pande kubwa la mfarishi wake.\n Kila safu imeundwa kwa pande kubwa kutoka mwaka tofauti wa likizo.\n Ana amekuwa akienda likizo tangu alipokuwa na umri wa miaka 23.\n Sasa ana umri wa miaka 34.\n Kwa jumla, ana amekuwa akienda likizo 34 - 23 = 11.\n Kila shati ni pande kubwa la mfarishi wake, kwa jumla ana 11 * 2 = 22 pande kubwa.\n Kwa jumla, ana 22 pande kubwa za mfarishi.']
{'question': 'Gene anashona mfarishi kwa kutumia tisheti za kale za ukumbusho. Ana shati moja kutoka kwa kila likizo aliyowahi kwenda. Kila shati ni pande kubwa la mfarishi wake. Kila safu imeundwa kwa pande kubwa kutoka mwaka tofauti wa likizo. Huwa anaenda likizo nne kwa mwaka na amekuwa akienda likizo tangu alipokuwa na umri wa miaka 23. Sasa ana umri wa miaka 34. Ana pande kubwa za mfarishi ngapi kwa jumla?'}
[0]
['90']
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Question: Sasha amegundua kuwa bei za magogo imeongezeka kwa 50% katika miezi michache iliyopita baada ya kununua magogo mengine. Kwa kuwa ana yale yaliyosalia, anaamua kuyauza. Ana mabaki ya mbao kumi za 2 x 4 x 10 zilizomgharimu $10 kila moja. Pia ana mbao tano za 4 x 4 x 10 alizonunua $16 kila moja. Akiziuza zote, alitengeneza faida ya pesa ngapi? Answer:
Question: Sasha amegundua kuwa bei za magogo imeongezeka kwa 50% katika miezi michache iliyopita baada ya kununua magogo mengine. Kwa kuwa ana yale yaliyosalia, anaamua kuyauza. Ana mabaki ya mbao kumi za 2 x 4 x 10 zilizomgharimu $10 kila moja. Pia ana mbao tano za 4 x 4 x 10 alizonunua $16 kila moja. Akiziuza zote, alitengeneza faida ya pesa ngapi? Answer:
[]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Sasha amegundua kuwa bei za magogo imeongezeka kwa 50% katika miezi michache iliyopita baada ya kununua magogo mengine. Kwa kuwa ana yale yaliyosalia, anaamua kuyauza. Ana mabaki ya mbao kumi za 2 x 4 x 10 zilizomgharimu $10 kila moja. Pia ana mbao tano za 4 x 4 x 10 alizonunua $16 kila moja. Akiziuza zote, alitengeneza faida ya pesa ngapi?\nGolden Answer: 90\nModel\'s Answer: Sasha amegundua kuwa bei za magogo imeongezeka kwa 50% katika miezi michache iliyopita baada ya kununua magogo mengine.\n Kwa kuwa ana yale yaliyosalia, anaamua kuyauza.\n Ana mabaki ya mbao kumi za 2 x 4 x 10 zilizomgharimu $10 kila moja.\n Pia ana mbao tano za 4 x 4 x 10 alizonunua $16 kila moja.\n Kwa kuwa alitengeneza faida ya pesa, alitengeneza $16 - 10 = 6$ kila moja.\n Kwa kuwa alitengeneza faida ya 6 kila moja, alitengeneza $6 * 10 = 60$.\n Kwa kuwa alitengeneza faida ya 60, alitengeneza $60 * 4 = 240$.\n Kwa kuwa alitengeneza faida ya 240, alitengeneza $240 * 2 = 480$.\n Kwa kuwa alitengeneza faida ya 480, alitengeneza $480 * 10 = 4800$.\n Kwa kuwa alitengeneza faida ya 4800, alitengeneza $4800 * 4 = 19200$.\n Kwa kuwa alitengeneza faida ya 19200, alitengeneza $19200 * 10 = 192000$.\n Kwa kuwa alitengeneza faida ya 192000, alitengeneza $192000 * 4 = 768000$.\n Kwa kuwa alitengeneza faida ya 768000, alitengeneza $768000 * 2 = 1536000$.\n Kwa kuwa alitengeneza faida ya 1536000, alitengeneza $1536000 * 10 = 15360000$.\n Kwa kuwa alitengeneza faida ya 15360000, alitengeneza $15360000 * 4 = 61440000$.\n Kwa kuwa alitengeneza faida ya \nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's answer does not align with the golden answer. The model's response contains repetitive and incorrect calculations leading to an unreasonable figure of $61,440,000, differing significantly from the golden answer of $90. The question asks for the profit made by selling all of the wood, taking into account the purchase cost and a 50% price increase. The correct calculation should focus on the initial costs and added profit due to the price hike, rather than the repetitive series of multiplications presented in the model's answer.\n\nThe score: [[0]]"]}
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[' Sasha amegundua kuwa bei za magogo imeongezeka kwa 50% katika miezi michache iliyopita baada ya kununua magogo mengine.\n Kwa kuwa ana yale yaliyosalia, anaamua kuyauza.\n Ana mabaki ya mbao kumi za 2 x 4 x 10 zilizomgharimu $10 kila moja.\n Pia ana mbao tano za 4 x 4 x 10 alizonunua $16 kila moja.\n Kwa kuwa alitengeneza faida ya pesa, alitengeneza $16 - 10 = 6$ kila moja.\n Kwa kuwa alitengeneza faida ya 6 kila moja, alitengeneza $6 * 10 = 60$.\n Kwa kuwa alitengeneza faida ya 60, alitengeneza $60 * 4 = 240$.\n Kwa kuwa alitengeneza faida ya 240, alitengeneza $240 * 2 = 480$.\n Kwa kuwa alitengeneza faida ya 480, alitengeneza $480 * 10 = 4800$.\n Kwa kuwa alitengeneza faida ya 4800, alitengeneza $4800 * 4 = 19200$.\n Kwa kuwa alitengeneza faida ya 19200, alitengeneza $19200 * 10 = 192000$.\n Kwa kuwa alitengeneza faida ya 192000, alitengeneza $192000 * 4 = 768000$.\n Kwa kuwa alitengeneza faida ya 768000, alitengeneza $768000 * 2 = 1536000$.\n Kwa kuwa alitengeneza faida ya 1536000, alitengeneza $1536000 * 10 = 15360000$.\n Kwa kuwa alitengeneza faida ya 15360000, alitengeneza $15360000 * 4 = 61440000$.\n Kwa kuwa alitengeneza faida ya ']
{'question': 'Sasha amegundua kuwa bei za magogo imeongezeka kwa 50% katika miezi michache iliyopita baada ya kununua magogo mengine. Kwa kuwa ana yale yaliyosalia, anaamua kuyauza. Ana mabaki ya mbao kumi za 2 x 4 x 10 zilizomgharimu $10 kila moja. Pia ana mbao tano za 4 x 4 x 10 alizonunua $16 kila moja. Akiziuza zote, alitengeneza faida ya pesa ngapi?'}
[0]
['14']
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Question: Raymond na Samantha ni binamu. Raymond alizaliwa miaka 6 kabla ya Samantha. Raymond alipata mwana akiwa na umri wa miaka 23. Iwapo Samantha sasa ana umri wa miaka 31, mwana wa Raymond alizaliwa miaka mingapi iliyopita? Answer:
Question: Raymond na Samantha ni binamu. Raymond alizaliwa miaka 6 kabla ya Samantha. Raymond alipata mwana akiwa na umri wa miaka 23. Iwapo Samantha sasa ana umri wa miaka 31, mwana wa Raymond alizaliwa miaka mingapi iliyopita? Answer:
[]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Raymond na Samantha ni binamu. Raymond alizaliwa miaka 6 kabla ya Samantha. Raymond alipata mwana akiwa na umri wa miaka 23. Iwapo Samantha sasa ana umri wa miaka 31, mwana wa Raymond alizaliwa miaka mingapi iliyopita?\nGolden Answer: 14\nModel\'s Answer: Samantha alizaliwa miaka 6 kabla ya Raymond.\n Samantha alipata mwana akiwa na umri wa miaka 31.\n Mwana akiwa Samantha alizaliwa miaka 31 - 6 = 25.\n Mwana akiwa Raymond alizaliwa miaka 23.\n Mwana akiwa Raymond alizaliwa 25 - 23 = 2 miaka iliyopita.\n Mwana akiwa Raymond alizaliwa miaka 2 iliyopita.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The question provides the information that Raymond was born 6 years before Samantha, and he had a child at 23 years of age. Given that Samantha is now 31, she was born 6 years after Raymond, which means Raymond is currently 37 years old (31 + 6). He had his child at the age of 23, so the child was born 14 years ago (37 - 23). The golden answer confirms that this is the correct calculation.\n\nIn contrast, the model's answer provides an incorrect timeline. It starts by incorrectly stating that Samantha was born before Raymond, which is opposite to what was given. As such, the subsequent calculations based on this false assumption are incorrect, leading to the conclusion that the child was born 2 years ago, which does not match the timeline given in the problem.\n\nTherefore, the model's answer does not align with the golden answer.\n\nCorrectness score: [[0]]"]}
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[705]
[]
[' Samantha alizaliwa miaka 6 kabla ya Raymond.\n Samantha alipata mwana akiwa na umri wa miaka 31.\n Mwana akiwa Samantha alizaliwa miaka 31 - 6 = 25.\n Mwana akiwa Raymond alizaliwa miaka 23.\n Mwana akiwa Raymond alizaliwa 25 - 23 = 2 miaka iliyopita.\n Mwana akiwa Raymond alizaliwa miaka 2 iliyopita.']
{'question': 'Raymond na Samantha ni binamu. Raymond alizaliwa miaka 6 kabla ya Samantha. Raymond alipata mwana akiwa na umri wa miaka 23. Iwapo Samantha sasa ana umri wa miaka 31, mwana wa Raymond alizaliwa miaka mingapi iliyopita?'}
[0]
['140']
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Question: Lundo la ukungu linabingirika kutoka kwa bahari na kufunika jiji. Linachukua dakika 10 kufunika kila maili 3 za jiji. Iwapo jiji lina upana wa maili 42 kutoka ufuo wa bahari hadi ng'ambo nyingine ya nchi kavu, lundu hilo la ukungu litachukua dakika ngapi kufunika jiji zima? Answer:
Question: Lundo la ukungu linabingirika kutoka kwa bahari na kufunika jiji. Linachukua dakika 10 kufunika kila maili 3 za jiji. Iwapo jiji lina upana wa maili 42 kutoka ufuo wa bahari hadi ng'ambo nyingine ya nchi kavu, lundu hilo la ukungu litachukua dakika ngapi kufunika jiji zima? Answer:
[]
[0]
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1980, 262, 22559, 512, 257], device='cuda:0')]
{'judge_score_gpt-4o': 1, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Lundo la ukungu linabingirika kutoka kwa bahari na kufunika jiji. Linachukua dakika 10 kufunika kila maili 3 za jiji. Iwapo jiji lina upana wa maili 42 kutoka ufuo wa bahari hadi ng\'ambo nyingine ya nchi kavu, lundu hilo la ukungu litachukua dakika ngapi kufunika jiji zima?\nGolden Answer: 140\nModel\'s Answer: Lundo la ukungu linachukua dakika 10 kufunika kila maili 3 za jiji.\n Iwapo jiji lina upana wa maili 42, lundu hilo la ukungu litachukua 42 / 3 = 14 kufunika jiji.\n Kufunika jiji 14 kufunika 14 * 10 = 140 dakika.\n Lundo hilo la ukungu litachukua 140 dakika kufunika jiji zima.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's answer breaks down the problem correctly using the given information. It calculates how many 3-mile sections exist within the 42-mile-wide city by dividing 42 by 3, resulting in 14 segments. Then, it multiplies the number of segments (14) by the time taken to cover each segment (10 minutes), which correctly equal 140 minutes. This matches the golden answer of 140.\n\nTherefore, the model's answer is correct. The score: [[1]]"]}
0
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[670]
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[' Lundo la ukungu linachukua dakika 10 kufunika kila maili 3 za jiji.\n Iwapo jiji lina upana wa maili 42, lundu hilo la ukungu litachukua 42 / 3 = 14 kufunika jiji.\n Kufunika jiji 14 kufunika 14 * 10 = 140 dakika.\n Lundo hilo la ukungu litachukua 140 dakika kufunika jiji zima.']
{'question': "Lundo la ukungu linabingirika kutoka kwa bahari na kufunika jiji. Linachukua dakika 10 kufunika kila maili 3 za jiji. Iwapo jiji lina upana wa maili 42 kutoka ufuo wa bahari hadi ng'ambo nyingine ya nchi kavu, lundu hilo la ukungu litachukua dakika ngapi kufunika jiji zima?"}
[0]
['20']
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Question: Cody huwa anakula biskuti mara tatu zaidi ya biskuti ambazo Amir hukula. Iwapo Amir hukula biskuti 5, wote wawili huwa wanakula biskuti ngapi kwa pamoja? Answer:
Question: Cody huwa anakula biskuti mara tatu zaidi ya biskuti ambazo Amir hukula. Iwapo Amir hukula biskuti 5, wote wawili huwa wanakula biskuti ngapi kwa pamoja? Answer:
[]
[0]
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{'judge_score_gpt-4o': 1, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Cody huwa anakula biskuti mara tatu zaidi ya biskuti ambazo Amir hukula. Iwapo Amir hukula biskuti 5, wote wawili huwa wanakula biskuti ngapi kwa pamoja?\nGolden Answer: 20\nModel\'s Answer: Amir hukula biskuti 5.\n Cody huwa anakula biskuti mara tatu zaidi ya Amir, wotere Cody hukula 5 * 3 = 15 biskuti.\n Iwapo Amir hukula biskuti 5, wote wawili huwa wanakula biskuti 5 + 15 = 20 biskuti kwa pamoja.\n Wote wawili huwa wanakula biskuti 20.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The problem asks for the total number of biscuits eaten by both Cody and Amir together. According to the question, Cody eats three times the number of biscuits Amir does. Amir eats 5 biscuits, so Cody eats 5 * 3 = 15 biscuits. Together, they eat 5 (Amir) + 15 (Cody) = 20 biscuits. The model's answer performs these calculations and concludes that together they eat 20 biscuits, which matches the golden answer.\n\nThus, the model's answer and the golden answer are the same. The score: [[1]]"]}
0
0
[716]
[]
[' Amir hukula biskuti 5.\n Cody huwa anakula biskuti mara tatu zaidi ya Amir, wotere Cody hukula 5 * 3 = 15 biskuti.\n Iwapo Amir hukula biskuti 5, wote wawili huwa wanakula biskuti 5 + 15 = 20 biskuti kwa pamoja.\n Wote wawili huwa wanakula biskuti 20.']
{'question': 'Cody huwa anakula biskuti mara tatu zaidi ya biskuti ambazo Amir hukula. Iwapo Amir hukula biskuti 5, wote wawili huwa wanakula biskuti ngapi kwa pamoja?'}
[0]
['55']
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Question: Baldur hupata maji kutoka kwa kisima. Huwa anateka ndoo 5 za maji kila asubuhi na ndoo 6 za maji kila alasiri. Ikiwa kila ndoo ina lita 5 za maji, huwa anapata lita ngapi za maji kila siku? Answer:
Question: Baldur hupata maji kutoka kwa kisima. Huwa anateka ndoo 5 za maji kila asubuhi na ndoo 6 za maji kila alasiri. Ikiwa kila ndoo ina lita 5 za maji, huwa anapata lita ngapi za maji kila siku? Answer:
[]
[0]
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{'judge_score_gpt-4o': 1, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Baldur hupata maji kutoka kwa kisima. Huwa anateka ndoo 5 za maji kila asubuhi na ndoo 6 za maji kila alasiri. Ikiwa kila ndoo ina lita 5 za maji, huwa anapata lita ngapi za maji kila siku?\nGolden Answer: 55\nModel\'s Answer: Baldur hupata maji kila asubuhi na kila alasiri.\n Kila asubuhi, hupata 5 ndoo za maji, kila alasiri hupata 6 ndoo za maji.\n Kila ndoo ina lita 5 za maji.\n Kila asubuhi, hupata 5 * 5 = 25 lita za maji.\n Kila alasiri, hupata 6 * 5 = 30 lita za maji.\n Kila siku, hupata 25 + 30 = 55 lita za maji.\n Siku, hupata lita 55 za maji.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's answer correctly follows the logical steps to calculate the total liters of water Baldur obtains each day. It takes into account 5 buckets each morning and 6 buckets each afternoon, with each bucket containing 5 liters, resulting in 25 liters in the morning and 30 liters in the afternoon. The total liters per day, as computed by the model, is 25 + 30 = 55, which matches the golden answer. Therefore, the model's answer is correct.\n\nThe score: [[1]]"]}
0
0
[697]
[]
[' Baldur hupata maji kila asubuhi na kila alasiri.\n Kila asubuhi, hupata 5 ndoo za maji, kila alasiri hupata 6 ndoo za maji.\n Kila ndoo ina lita 5 za maji.\n Kila asubuhi, hupata 5 * 5 = 25 lita za maji.\n Kila alasiri, hupata 6 * 5 = 30 lita za maji.\n Kila siku, hupata 25 + 30 = 55 lita za maji.\n Siku, hupata lita 55 za maji.']
{'question': 'Baldur hupata maji kutoka kwa kisima. Huwa anateka ndoo 5 za maji kila asubuhi na ndoo 6 za maji kila alasiri. Ikiwa kila ndoo ina lita 5 za maji, huwa anapata lita ngapi za maji kila siku?'}
[0]
['250']
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Question: Jason ana mpango wa simu wa dakika 1000 kila mwezi. Kila siku anapiga simu kwa dakika 15 akiongea na mdosi wake, na ameongea kwa simu dakika 300 na watu wengine mwezi huu. Jason bado amesalia na dakika ngapi ikiwa mwezi huu una siku 30? Answer:
Question: Jason ana mpango wa simu wa dakika 1000 kila mwezi. Kila siku anapiga simu kwa dakika 15 akiongea na mdosi wake, na ameongea kwa simu dakika 300 na watu wengine mwezi huu. Jason bado amesalia na dakika ngapi ikiwa mwezi huu una siku 30? Answer:
[]
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305, 31172, 5203, 274, 39342, 220, 966, 1980, 262, 22559, 512, 257], device='cuda:0')]
{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Jason ana mpango wa simu wa dakika 1000 kila mwezi. Kila siku anapiga simu kwa dakika 15 akiongea na mdosi wake, na ameongea kwa simu dakika 300 na watu wengine mwezi huu. Jason bado amesalia na dakika ngapi ikiwa mwezi huu una siku 30?\nGolden Answer: 250\nModel\'s Answer: Jason ana mpango wa simu wa dakika 1000 kila mwezi.\n Kila siku anapiga simu kwa dakika 15 akiongea na mdosi wake, na ameongea kwa simu dakika 300 na watu wengine mwezi huu.\n Kila siku, Jason anapiga simu kwa 15 + 300 = 315 dakika.\n Mwezi huu, Jason anapiga simu kwa 315 * 30 = 9450 dakika.\n Jason bado amesalia na 1000 - 9450 = 5500 dakika.\n Jason bado amesalia na 5500 dakika.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's answer does not align with the golden answer. The question asks for the remaining minutes Jason has for the month given his daily usage and other calls. He has a plan for 1000 minutes, uses 15 minutes daily for 30 days which totals 450 minutes, and an additional 300 minutes for other calls, totaling to 750 minutes. Therefore, the correct remaining amount should be 1000 - 750 = 250 minutes, which is the golden answer. The model's answer is incorrect due to a misunderstanding in the calculation process. Thus, the score: [[0]]."]}
0
0
[689]
[]
[' Jason ana mpango wa simu wa dakika 1000 kila mwezi.\n Kila siku anapiga simu kwa dakika 15 akiongea na mdosi wake, na ameongea kwa simu dakika 300 na watu wengine mwezi huu.\n Kila siku, Jason anapiga simu kwa 15 + 300 = 315 dakika.\n Mwezi huu, Jason anapiga simu kwa 315 * 30 = 9450 dakika.\n Jason bado amesalia na 1000 - 9450 = 5500 dakika.\n Jason bado amesalia na 5500 dakika.']
{'question': 'Jason ana mpango wa simu wa dakika 1000 kila mwezi. Kila siku anapiga simu kwa dakika 15 akiongea na mdosi wake, na ameongea kwa simu dakika 300 na watu wengine mwezi huu. Jason bado amesalia na dakika ngapi ikiwa mwezi huu una siku 30?'}
[0]
['1430']
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Question: Janet anamnunulia binti yake bruki. Analipa $500 ya kitambaa cha kuitengeneza na kisha $800 nyingine ya mtengeneza vito wa kuitengeneza. Baada ya hapo, analipa 10% ya hiyo kuiwekea bima. Alilipa pesa ngapi kwa jumla? Answer:
Question: Janet anamnunulia binti yake bruki. Analipa $500 ya kitambaa cha kuitengeneza na kisha $800 nyingine ya mtengeneza vito wa kuitengeneza. Baada ya hapo, analipa 10% ya hiyo kuiwekea bima. Alilipa pesa ngapi kwa jumla? Answer:
[]
[0]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Janet anamnunulia binti yake bruki. Analipa $500 ya kitambaa cha kuitengeneza na kisha $800 nyingine ya mtengeneza vito wa kuitengeneza. Baada ya hapo, analipa 10% ya hiyo kuiwekea bima. Alilipa pesa ngapi kwa jumla?\nGolden Answer: 1430\nModel\'s Answer: Janet anamnunulia binti yake bruki.\n Alilipa $500 ya kitambaa cha kuitengeneza.\n Alilipa $800 nyingine ya mtengeneza vito wa kuitengeneza.\n Alilipa 10% ya hiyo kuiwekea bima.\n 10% ya $800 nyingine ya mtengeneza vito wa kuitengeneza $800 * 10 / 100 = 8000 / 100 = 80$.\n Alilipa $500 + 800 + 80 = 1300 + 80 = 1380$.\n Alilipa 1380 dollars kwa jumla.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The golden answer states that the total amount Janet paid is 1430. The model's answer incorrectly calculates the 10% insurance cost based on $800, which is only the cost of creation and not the sum of $500 and $800, which is $1300. The correct insurance calculation should have been 10% of $1300, resulting in $130, not $80. This miscalculation causes the final sum to be incorrect in the model's answer. The model's answer total of $1380 does not match the golden answer of $1430. \n\nTherefore, the model answer and the golden answer do not align. The correctness score: [[0]]."]}
0
0
[693]
[]
[' Janet anamnunulia binti yake bruki.\n Alilipa $500 ya kitambaa cha kuitengeneza.\n Alilipa $800 nyingine ya mtengeneza vito wa kuitengeneza.\n Alilipa 10% ya hiyo kuiwekea bima.\n 10% ya $800 nyingine ya mtengeneza vito wa kuitengeneza $800 * 10 / 100 = 8000 / 100 = 80$.\n Alilipa $500 + 800 + 80 = 1300 + 80 = 1380$.\n Alilipa 1380 dollars kwa jumla.']
{'question': 'Janet anamnunulia binti yake bruki. Analipa $500 ya kitambaa cha kuitengeneza na kisha $800 nyingine ya mtengeneza vito wa kuitengeneza. Baada ya hapo, analipa 10% ya hiyo kuiwekea bima. Alilipa pesa ngapi kwa jumla?'}
[0]
['104']
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Question: Gloria ananunua anapokutana na jozi ya mabuti inayotoshea bajeti yake ya kiatu. Hata hivyo, ni lazima achague kati ya mabuti hayo na jozi mbili za viatu vyenye visigino vilivyoinuka ambazo kwa pamoja gharama yao ni chini ya gharama ya mabuti kwa dola tano. Iwapo jozi moja ya viatu vyenye visigino vilivyoinuka inagharimu $33 na jozi hiyo nyingine bei yake ni mara mbili ya jozi ya kwanza, bei ya mabuti ni dola ngapi? Answer:
Question: Gloria ananunua anapokutana na jozi ya mabuti inayotoshea bajeti yake ya kiatu. Hata hivyo, ni lazima achague kati ya mabuti hayo na jozi mbili za viatu vyenye visigino vilivyoinuka ambazo kwa pamoja gharama yao ni chini ya gharama ya mabuti kwa dola tano. Iwapo jozi moja ya viatu vyenye visigino vilivyoinuka inagharimu $33 na jozi hiyo nyingine bei yake ni mara mbili ya jozi ya kwanza, bei ya mabuti ni dola ngapi? Answer:
[]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Gloria ananunua anapokutana na jozi ya mabuti inayotoshea bajeti yake ya kiatu. Hata hivyo, ni lazima achague kati ya mabuti hayo na jozi mbili za viatu vyenye visigino vilivyoinuka ambazo kwa pamoja gharama yao ni chini ya gharama ya mabuti kwa dola tano. Iwapo jozi moja ya viatu vyenye visigino vilivyoinuka inagharimu $33 na jozi hiyo nyingine bei yake ni mara mbili ya jozi ya kwanza, bei ya mabuti ni dola ngapi?\nGolden Answer: 104\nModel\'s Answer: Jozi moja ya viatu vyenye visigino vilivyoinuka inagharimu $33.\n Jozi hiyo nyingine inagharimu mara mbili ya jozi ya kwanza, kwa hivyo inagharimu $33 * 2 = $66.\n Kati ya mabuti inagharimu $10.\n Kati ya mabuti na jozi moja ya viatu inagharimu $33 + $10 = $43.\n Kati ya mabuti na jozi hiyo nyingine inagharimu $66 + $10 = $76.\n Kati ya mabuti inagharimu dola tano ($100) kwa dola tano ($100) = $0.\n Kati ya mabuti na jozi moja ya viatu inagharimu $43 kwa dola tano ($100) = $57.\n Kati ya mabuti na jozi hiyo nyingine inagharimu $76 kwa dola tano ($100) = $24.\n Kati ya mabuti inagharimu $0 kwa dola tano ($100) = $100.\n Kati ya mabuti na jozi moja ya viatu inagharimu $57 kwa dola tano ($100) = $43.\n Kati ya mabuti na jozi hiyo nyingine inagharimu $24 kwa dola tano ($100) = $76.\n Kati ya mabuti inagharimu $100 kwa dola tano ($100) = $0.\n Kati ya mabuti na jozi moja ya viatu inagharimu $43 kwa dola tano ($100) = $57.\n Kati ya mabuti na jozi hiyo nyingine inagharimu $76 kwa dola tano ($100) = $24.\n Kati ya mabuti inagharimu $0 kwa dola tano ($100) = $100.\n Kati ya mabuti na jozi moja ya viatu inagharimu $57 kwa dola tano ($100) = $43.\n Kati ya mabuti na jozi hiyo nyingine inagharimu $24 kwa dola tano ($100\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's answer is incoherent and seems to contain repeated fragments with arithmetic calculations that do not directly answer the question. The core requirement is to find the cost of the boots. For that:\n\n- One pair of heeled shoes costs $33.\n- The second pair, being twice the first, costs $66.\n- Combined, they cost $33 + $66 = $99.\n- The boots are $5 more than this total, making them $99 + $5 = $104.\n\nWhile the golden answer is $104, the model fails to come up with this result clearly and correctly due to its incoherent and repetitive output, making the solution not match the correct process or outcome.\n\nThe correctness score is: [[0]]."]}
0
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[' Jozi moja ya viatu vyenye visigino vilivyoinuka inagharimu $33.\n Jozi hiyo nyingine inagharimu mara mbili ya jozi ya kwanza, kwa hivyo inagharimu $33 * 2 = $66.\n Kati ya mabuti inagharimu $10.\n Kati ya mabuti na jozi moja ya viatu inagharimu $33 + $10 = $43.\n Kati ya mabuti na jozi hiyo nyingine inagharimu $66 + $10 = $76.\n Kati ya mabuti inagharimu dola tano ($100) kwa dola tano ($100) = $0.\n Kati ya mabuti na jozi moja ya viatu inagharimu $43 kwa dola tano ($100) = $57.\n Kati ya mabuti na jozi hiyo nyingine inagharimu $76 kwa dola tano ($100) = $24.\n Kati ya mabuti inagharimu $0 kwa dola tano ($100) = $100.\n Kati ya mabuti na jozi moja ya viatu inagharimu $57 kwa dola tano ($100) = $43.\n Kati ya mabuti na jozi hiyo nyingine inagharimu $24 kwa dola tano ($100) = $76.\n Kati ya mabuti inagharimu $100 kwa dola tano ($100) = $0.\n Kati ya mabuti na jozi moja ya viatu inagharimu $43 kwa dola tano ($100) = $57.\n Kati ya mabuti na jozi hiyo nyingine inagharimu $76 kwa dola tano ($100) = $24.\n Kati ya mabuti inagharimu $0 kwa dola tano ($100) = $100.\n Kati ya mabuti na jozi moja ya viatu inagharimu $57 kwa dola tano ($100) = $43.\n Kati ya mabuti na jozi hiyo nyingine inagharimu $24 kwa dola tano ($100']
{'question': 'Gloria ananunua anapokutana na jozi ya mabuti inayotoshea bajeti yake ya kiatu. Hata hivyo, ni lazima achague kati ya mabuti hayo na jozi mbili za viatu vyenye visigino vilivyoinuka ambazo kwa pamoja gharama yao ni chini ya gharama ya mabuti kwa dola tano. Iwapo jozi moja ya viatu vyenye visigino vilivyoinuka inagharimu $33 na jozi hiyo nyingine bei yake ni mara mbili ya jozi ya kwanza, bei ya mabuti ni dola ngapi?'}
[0]
['82']
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Question: Dylan alihitaji soseji za kukua na soseji za samaki ili kuandaa mandazi ya soseji katika sherehe. Alinunua soseji 38 za kuku na soseji 6 za samaki zaidi ya za kuku. Dylan alinunua soseji ngapi kwa jumla? Answer:
Question: Dylan alihitaji soseji za kukua na soseji za samaki ili kuandaa mandazi ya soseji katika sherehe. Alinunua soseji 38 za kuku na soseji 6 za samaki zaidi ya za kuku. Dylan alinunua soseji ngapi kwa jumla? Answer:
[]
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{'judge_score_gpt-4o': 1, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Dylan alihitaji soseji za kukua na soseji za samaki ili kuandaa mandazi ya soseji katika sherehe. Alinunua soseji 38 za kuku na soseji 6 za samaki zaidi ya za kuku. Dylan alinunua soseji ngapi kwa jumla?\nGolden Answer: 82\nModel\'s Answer: Dylan alinunua soseji 38 za kuku.\n Alinunua soseji 6 za samaki zaidi ya za kuku, kwa haka alinunua 38 + 6 = 44 soseji za samaki.\n Jumla soseji alinunua Dylan alinunua 38 + 44 = 82.\n Kwa haka Dylan alinunua soseji 82 kwa jumla.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's answer breaks down the problem correctly. Dylan bought 38 chicken sausages and 6 more fish sausages than the chicken sausages, which is 38 + 6 = 44 fish sausages. Thus, the total number of sausages Dylan bought is 38 (chicken) + 44 (fish) = 82 sausages. This matches the golden answer of 82.\n\nThe model answer is correct. The score: [[1]]"]}
0
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[697]
[]
[' Dylan alinunua soseji 38 za kuku.\n Alinunua soseji 6 za samaki zaidi ya za kuku, kwa haka alinunua 38 + 6 = 44 soseji za samaki.\n Jumla soseji alinunua Dylan alinunua 38 + 44 = 82.\n Kwa haka Dylan alinunua soseji 82 kwa jumla.']
{'question': 'Dylan alihitaji soseji za kukua na soseji za samaki ili kuandaa mandazi ya soseji katika sherehe. Alinunua soseji 38 za kuku na soseji 6 za samaki zaidi ya za kuku. Dylan alinunua soseji ngapi kwa jumla?'}
[0]
['140']
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Question: Andy amepanda jeraniamu 90 na zambarau 40 chache zaidi ya jeraniamu. Amepanda maua mangapi kwa jumla? Answer:
Question: Andy amepanda jeraniamu 90 na zambarau 40 chache zaidi ya jeraniamu. Amepanda maua mangapi kwa jumla? Answer:
[]
[0]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Andy amepanda jeraniamu 90 na zambarau 40 chache zaidi ya jeraniamu. Amepanda maua mangapi kwa jumla?\nGolden Answer: 140\nModel\'s Answer: Andy amepanda jeraniamu 90.\n Amepanda zambarau 40 chache zaidi ya jeraniamu, kwa haka amepanda 90 + 40 = 130 zambarau.\n Jumla amepanda 90 + 130 = 220.\n Kwa haka, Andy amepanda 220 maua.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The question states that Andy planted 90 geraniums and 40 more violets than geraniums. This means he planted 90 + 40 = 130 violets. The total number of flowers he planted is therefore 90 (geraniums) + 130 (violets) = 220. The model's answer calculates this correctly but arrives at a total of 220 flowers, whereas the golden answer is 140, which implies some form of miscalculation in arriving at the golden answer. However, considering the details in the problem and the logical calculations leading to the model's conclusion, the model's answer of 220 seems mathematically sound based on the problem statement. Regardless of the potential error in the golden answer, my role is to compare the model's answer strictly to the given golden answer. In this comparison, they do not match.\n\nThe correctness score: [[0]]."]}
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[' Andy amepanda jeraniamu 90.\n Amepanda zambarau 40 chache zaidi ya jeraniamu, kwa haka amepanda 90 + 40 = 130 zambarau.\n Jumla amepanda 90 + 130 = 220.\n Kwa haka, Andy amepanda 220 maua.']
{'question': 'Andy amepanda jeraniamu 90 na zambarau 40 chache zaidi ya jeraniamu. Amepanda maua mangapi kwa jumla?'}
[0]
['221']
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Question: Tommy anafanya mchango wa hisa yake kwa kuuza keki za kahawia kwa $3 kwa kila slesi na keki za jibini kwa $4 kwa kila slesi. Tommy aliuza slesi 43 za keki za kahawia na slesi 23 za keki ya jibini, Tommy alichangisha pesa ngapi? Answer:
Question: Tommy anafanya mchango wa hisa yake kwa kuuza keki za kahawia kwa $3 kwa kila slesi na keki za jibini kwa $4 kwa kila slesi. Tommy aliuza slesi 43 za keki za kahawia na slesi 23 za keki ya jibini, Tommy alichangisha pesa ngapi? Answer:
[]
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{'judge_score_gpt-4o': 1, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Tommy anafanya mchango wa hisa yake kwa kuuza keki za kahawia kwa $3 kwa kila slesi na keki za jibini kwa $4 kwa kila slesi. Tommy aliuza slesi 43 za keki za kahawia na slesi 23 za keki ya jibini, Tommy alichangisha pesa ngapi?\nGolden Answer: 221\nModel\'s Answer: Tommy aliuza slesi 43 za keki za kahawia kwa $3 kwa kila slesi, so aliuza $43 * 3 = 129$ kwa keki za kahawia.\n Tommy aliuza slesi 23 za keki ya jibini kwa $4 kwa kila slesi, so aliuza $23 * 4 = 92$ kwa keki ya jibini.\n Tommy alichangisha $129 + 92 = 221$.\n Tommy alichangisha 221 dollars.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's answer involves calculating the total funds Tommy raised by selling two types of cakes: the first calculation is for the 43 chocolate cake slices at $3 each, giving 43 * 3 = 129 dollars. The second part calculates for the 23 cheesecake slices at $4 each, which gives 23 * 4 = 92 dollars. Adding these together, the model concludes that Tommy raised 129 + 92 = 221 dollars in total. This matches the golden answer. Therefore, the model's answer is correct.\n\nThe correctness score: [[1]]"]}
0
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[' Tommy aliuza slesi 43 za keki za kahawia kwa $3 kwa kila slesi, so aliuza $43 * 3 = 129$ kwa keki za kahawia.\n Tommy aliuza slesi 23 za keki ya jibini kwa $4 kwa kila slesi, so aliuza $23 * 4 = 92$ kwa keki ya jibini.\n Tommy alichangisha $129 + 92 = 221$.\n Tommy alichangisha 221 dollars.']
{'question': 'Tommy anafanya mchango wa hisa yake kwa kuuza keki za kahawia kwa $3 kwa kila slesi na keki za jibini kwa $4 kwa kila slesi. Tommy aliuza slesi 43 za keki za kahawia na slesi 23 za keki ya jibini, Tommy alichangisha pesa ngapi?'}
[0]
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Question: Meredith ni mwanablogu huria ambaye huandika kuhusu mada za afya na kuwasilishia wateja kila siku kama kazi yake ya muda wote. Makala ya blogu huchukua wastani ya saa 4 kuyafanyia utafiti na kuandika. Wiki iliyopita, aliandika makala 5 Jumatatu na Jumanne akaandika makala mara 2/5 zaidi siku ya Jumatatu. Jumatano, aliandika makala mara mbili ya zaidi ya aliyoandika Jumanne. Piga hesabu ya jumla ya saa alitumia kuandika makala katika siku hizo tatu. Answer:
Question: Meredith ni mwanablogu huria ambaye huandika kuhusu mada za afya na kuwasilishia wateja kila siku kama kazi yake ya muda wote. Makala ya blogu huchukua wastani ya saa 4 kuyafanyia utafiti na kuandika. Wiki iliyopita, aliandika makala 5 Jumatatu na Jumanne akaandika makala mara 2/5 zaidi siku ya Jumatatu. Jumatano, aliandika makala mara mbili ya zaidi ya aliyoandika Jumanne. Piga hesabu ya jumla ya saa alitumia kuandika makala katika siku hizo tatu. Answer:
[]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Meredith ni mwanablogu huria ambaye huandika kuhusu mada za afya na kuwasilishia wateja kila siku kama kazi yake ya muda wote. Makala ya blogu huchukua wastani ya saa 4 kuyafanyia utafiti na kuandika. Wiki iliyopita, aliandika makala 5 Jumatatu na Jumanne akaandika makala mara 2/5 zaidi siku ya Jumatatu. Jumatano, aliandika makala mara mbili ya zaidi ya aliyoandika Jumanne. Piga hesabu ya jumla ya saa alitumia kuandika makala katika siku hizo tatu.\nGolden Answer: 104\nModel\'s Answer: Jumatatu, Meredith aliandika makala 5.\n Jumanne, aliandika makala mara 2/5 zaidi siku ya Jumatatu, kama 5 * 2/5 = 10/5 = 2 makala.\n Jumatano, aliandika makala mara mbili ya zaidi ya aliyoandika Jumanne, kama 2 * 2 = 4 makala.\n Jumla, Meredith aliandika makala 5 + 2 + 4 = 7 + 4 = 11 makala.\n Makala huchukua saa 4 kuyafanyia utafiti na kuandika, kama 11 * 4 = 44 saa.\n Piga, Meredith alitumia 44 saa kuandika makala katika siku tatu.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The question asks for the total number of hours Meredith spent writing articles over three days. The golden answer given is 104 hours. However, let's analyze the model's answer:\n\n1. Monday: Meredith wrote 5 articles.\n2. Tuesday: She wrote 2/5 more than she did on Monday. That would mean she wrote \\(5 \\times (1 + \\frac{2}{5}) = 5 \\times \\frac{7}{5} = 7\\) articles.\n3. Wednesday: She wrote twice as many articles as she did on Tuesday. That means she wrote \\(2 \\times 7 = 14\\) articles.\n\nNow, in total, she wrote \\(5 + 7 + 14 = 26\\) articles. Since each article takes 4 hours to research and write, the total time spent is \\(26 \\times 4 = 104\\) hours, which matches the golden answer.\n\nThe model answer has the incorrect calculation for the number of articles written on Tuesday and Wednesday, resulting in a total of only 11 articles and then incorrectly calculates the total time as 44 hours, which is not equal to the golden answer.\n\nThe model answer does not match the golden answer. The correctness score: [[0]]."]}
0
0
[605]
[]
[' Jumatatu, Meredith aliandika makala 5.\n Jumanne, aliandika makala mara 2/5 zaidi siku ya Jumatatu, kama 5 * 2/5 = 10/5 = 2 makala.\n Jumatano, aliandika makala mara mbili ya zaidi ya aliyoandika Jumanne, kama 2 * 2 = 4 makala.\n Jumla, Meredith aliandika makala 5 + 2 + 4 = 7 + 4 = 11 makala.\n Makala huchukua saa 4 kuyafanyia utafiti na kuandika, kama 11 * 4 = 44 saa.\n Piga, Meredith alitumia 44 saa kuandika makala katika siku tatu.']
{'question': 'Meredith ni mwanablogu huria ambaye huandika kuhusu mada za afya na kuwasilishia wateja kila siku kama kazi yake ya muda wote. Makala ya blogu huchukua wastani ya saa 4 kuyafanyia utafiti na kuandika. Wiki iliyopita, aliandika makala 5 Jumatatu na Jumanne akaandika makala mara 2/5 zaidi siku ya Jumatatu. Jumatano, aliandika makala mara mbili ya zaidi ya aliyoandika Jumanne. Piga hesabu ya jumla ya saa alitumia kuandika makala katika siku hizo tatu.'}
[0]
['95']
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Question: Billy anamenya na kukata viazi akiwa anajiandaa kutengeneza saladi ya viazi kwa ajili ya nyama choma ya mkutano wa familia yake kubwa. Ni tukio kubwa, hivyo ana viazi 60 vya kushughulikia. Viazi vina ukubwa ambao takriban unatoshana, hivyo inachukua karibu muda swa kumenya na kukata kila kimoja. Inamchukua Billy dakika moja na nusu kumenya viazi, lakini sekunde 5 pekee kukikata. Itamchukua Billy muda gani kukamilisha kuandaa viazi hivyo? Answer:
Question: Billy anamenya na kukata viazi akiwa anajiandaa kutengeneza saladi ya viazi kwa ajili ya nyama choma ya mkutano wa familia yake kubwa. Ni tukio kubwa, hivyo ana viazi 60 vya kushughulikia. Viazi vina ukubwa ambao takriban unatoshana, hivyo inachukua karibu muda swa kumenya na kukata kila kimoja. Inamchukua Billy dakika moja na nusu kumenya viazi, lakini sekunde 5 pekee kukikata. Itamchukua Billy muda gani kukamilisha kuandaa viazi hivyo? Answer:
[]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Billy anamenya na kukata viazi akiwa anajiandaa kutengeneza saladi ya viazi kwa ajili ya nyama choma ya mkutano wa familia yake kubwa. Ni tukio kubwa, hivyo ana viazi 60 vya kushughulikia. Viazi vina ukubwa ambao takriban unatoshana, hivyo inachukua karibu muda swa kumenya na kukata kila kimoja. Inamchukua Billy dakika moja na nusu kumenya viazi, lakini sekunde 5 pekee kukikata. Itamchukua Billy muda gani kukamilisha kuandaa viazi hivyo?\nGolden Answer: 95\nModel\'s Answer: Inamchukua Billy 1.5 + 5 = 6.5 muda kumenya na kukata kila kimoja.\n Nia tukio kubwa, hivyo ana 60 kimoja.\n Muda kamenya na kukata kila kimoja na tukio kubwa hivyo 60 * 6.5 = 390 muda.\n Muda kamenya na kukata hivyo 390 / 60 = 6.5 muda.\n Muda kamenya na kukata hivyo 6.5 * 60 = 390 muda.\n Muda kamenya na kukata hivyo 390 / 60 = 6.5 muda.\n Muda kamenya na kukata hivyo 6.5 * 60 = 390 muda.\n Muda kamenya na kukata hivyo 390 / 60 = 6.5 muda.\n Muda kamenya na kukata hivyo 6.5 * 60 = 390 muda.\n Muda kamenya na kukata hivyo 390 / 60 = 6.5 muda.\n Muda kamenya na kukata hivyo 6.5 * 60 = 390 muda.\n Muda kamenya na kukata hivyo 390 / 60 = 6.5 muda.\n Muda kamenya na kukata hivyo 6.5 * 60 = 390 muda.\n Muda kamenya na kukata hivyo 390 / 60 = 6.5 muda.\n Muda kamenya na kukata hivyo 6.5 * 60 = 390 muda.\n Muda kamenya na kukata hivyo 390 / 60 = 6.5 muda.\n Muda kamenya na kukata hivyo 6.5 * 60 = 390 muda.\n Muda kamenya na kukata hivyo 390 / 60 = 6.5 muda.\n Muda kamenya na kukata hivyo 6.5 * 60 = 390 muda.\n Muda kamenya na kukata hivyo 390 / 60 = 6.5 m\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's answer is incorrect due to multiple errors in calculations and reasoning. The golden answer indicates the total time it takes to prepare 60 potatoes, which includes peeling and cutting each potato. Each potato takes 1.5 minutes to peel and 0.0833 (5 seconds) minutes to cut, totaling 1.5833 minutes (or 95 seconds) per potato. To find the total time for 60 potatoes, we multiply 1.5833 by 60, resulting in approximately 95 minutes, which matches the golden answer. The model instead incorrectly applies arithmetic and arrives at 390 in some unspecified units, which does not match the required time in minutes and is incorrect.\n\nThe model's step-by-step reasoning is flawed and seems incoherent, with repeated and incorrect calculations. It fails to correctly interpret units and arithmetic necessary for solving the problem.\n\nTherefore, the correctness score: [[0]]."]}
0
0
[611]
[]
[' Inamchukua Billy 1.5 + 5 = 6.5 muda kumenya na kukata kila kimoja.\n Nia tukio kubwa, hivyo ana 60 kimoja.\n Muda kamenya na kukata kila kimoja na tukio kubwa hivyo 60 * 6.5 = 390 muda.\n Muda kamenya na kukata hivyo 390 / 60 = 6.5 muda.\n Muda kamenya na kukata hivyo 6.5 * 60 = 390 muda.\n Muda kamenya na kukata hivyo 390 / 60 = 6.5 muda.\n Muda kamenya na kukata hivyo 6.5 * 60 = 390 muda.\n Muda kamenya na kukata hivyo 390 / 60 = 6.5 muda.\n Muda kamenya na kukata hivyo 6.5 * 60 = 390 muda.\n Muda kamenya na kukata hivyo 390 / 60 = 6.5 muda.\n Muda kamenya na kukata hivyo 6.5 * 60 = 390 muda.\n Muda kamenya na kukata hivyo 390 / 60 = 6.5 muda.\n Muda kamenya na kukata hivyo 6.5 * 60 = 390 muda.\n Muda kamenya na kukata hivyo 390 / 60 = 6.5 muda.\n Muda kamenya na kukata hivyo 6.5 * 60 = 390 muda.\n Muda kamenya na kukata hivyo 390 / 60 = 6.5 muda.\n Muda kamenya na kukata hivyo 6.5 * 60 = 390 muda.\n Muda kamenya na kukata hivyo 390 / 60 = 6.5 muda.\n Muda kamenya na kukata hivyo 6.5 * 60 = 390 muda.\n Muda kamenya na kukata hivyo 390 / 60 = 6.5 m']
{'question': 'Billy anamenya na kukata viazi akiwa anajiandaa kutengeneza saladi ya viazi kwa ajili ya nyama choma ya mkutano wa familia yake kubwa. Ni tukio kubwa, hivyo ana viazi 60 vya kushughulikia. Viazi vina ukubwa ambao takriban unatoshana, hivyo inachukua karibu muda swa kumenya na kukata kila kimoja. Inamchukua Billy dakika moja na nusu kumenya viazi, lakini sekunde 5 pekee kukikata. Itamchukua Billy muda gani kukamilisha kuandaa viazi hivyo?'}
[0]
['250']
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Question: Akiwa katika duka la dola, Sloane anahesabu wateja 100 wakiingia kwenye duka hilo. Siku inayofuata, anahesabu wateja 50 zaidi ya walioingia siku ya kwanza. Ikiwa jumla ya idadi ya wateja kufikia siku ya tatu ilikuwa 500, alihesabu wateja wangapi siku ya tatu? Answer:
Question: Akiwa katika duka la dola, Sloane anahesabu wateja 100 wakiingia kwenye duka hilo. Siku inayofuata, anahesabu wateja 50 zaidi ya walioingia siku ya kwanza. Ikiwa jumla ya idadi ya wateja kufikia siku ya tatu ilikuwa 500, alihesabu wateja wangapi siku ya tatu? Answer:
[]
[0]
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device='cuda:0')]
{'judge_score_gpt-4o': 1, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Akiwa katika duka la dola, Sloane anahesabu wateja 100 wakiingia kwenye duka hilo. Siku inayofuata, anahesabu wateja 50 zaidi ya walioingia siku ya kwanza. Ikiwa jumla ya idadi ya wateja kufikia siku ya tatu ilikuwa 500, alihesabu wateja wangapi siku ya tatu?\nGolden Answer: 250\nModel\'s Answer: Siku ya kwanza, Sloane anahesabu wateja 100.\n Siku ya nke, anahesabu wateja 50 zaidi, ya kwanza, 100 + 50 = 150.\n Jumla ya idadi ya wateja kufikia siku ya tatu ilikuwa 500.\n Kufikia siku ya tatu, anahesabu wateja 500 - 100 - 150 = 400 - 150 = 250.\n N\'kwa, Sloane anahesabu wateja 250 siku ya tatu.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The question asks for the number of customers Sloane counted on the third day, given that there were 100 customers on the first day, 150 customers on the second day, and a total of 500 customers by the end of the third day. The golden answer is 250, which correctly reflects the number of customers on the third day as calculated by subtracting the customers from the first two days (100 + 150) from the total (500).\n\nThe model's answer correctly follows the same logical process:\n1. It states that there were 100 customers on the first day.\n2. It adds 50 to get 150 customers on the second day.\n3. It calculates the number of customers on the third day by subtracting the total from the first two days from 500: 500 - 100 - 150 = 250.\n\nTherefore, the model's answer matches the golden answer perfectly.\n\nThe score: [[1]]"]}
0
0
[664]
[]
[" Siku ya kwanza, Sloane anahesabu wateja 100.\n Siku ya nke, anahesabu wateja 50 zaidi, ya kwanza, 100 + 50 = 150.\n Jumla ya idadi ya wateja kufikia siku ya tatu ilikuwa 500.\n Kufikia siku ya tatu, anahesabu wateja 500 - 100 - 150 = 400 - 150 = 250.\n N'kwa, Sloane anahesabu wateja 250 siku ya tatu."]
{'question': 'Akiwa katika duka la dola, Sloane anahesabu wateja 100 wakiingia kwenye duka hilo. Siku inayofuata, anahesabu wateja 50 zaidi ya walioingia siku ya kwanza. Ikiwa jumla ya idadi ya wateja kufikia siku ya tatu ilikuwa 500, alihesabu wateja wangapi siku ya tatu?'}
[0]
['500']
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Question: Poppy anatatua fumbo lenye vipande 1000. Anaweza robo moja ya vipande hivyo kwenye ubao, kisha mamake anaweza thuluthi moja ya vipande vinavyosalia. Vipande vingapi vimesalia bila kuwekwa? Answer:
Question: Poppy anatatua fumbo lenye vipande 1000. Anaweza robo moja ya vipande hivyo kwenye ubao, kisha mamake anaweza thuluthi moja ya vipande vinavyosalia. Vipande vingapi vimesalia bila kuwekwa? Answer:
[]
[0]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Poppy anatatua fumbo lenye vipande 1000. Anaweza robo moja ya vipande hivyo kwenye ubao, kisha mamake anaweza thuluthi moja ya vipande vinavyosalia. Vipande vingapi vimesalia bila kuwekwa?\nGolden Answer: 500\nModel\'s Answer: Poppy anatatua fumbo lenye vipande 1000.\n Anaweza robo moja ya vipande hivyo kwenye ubao, kisha mamake anaweza thuluthi moja ya vipande vinavyosalia.\n Robo moja ya 1000 vipande hivyo kwenye ubao 1000 / 4 = 250.\n Thuluthi moja ya 1000 vipande vinavyosalia 1000 / 3 = 333.33.\n Kwa kuwekwa, 333.33 - 250 = 83.33.\n Bila kuwekwa, 1000 - 83.33 = 916.67.\n Kwa kuwekwa, 916.67 - 250 = 666.67.\n Bila kuwekwa, 1000 - 666.67 = 333.33.\n Kwa kuwekwa, 333.33 - 250 = 83.33.\n Bila kuwekwa, 1000 - 83.33 = 916.67.\n Kwa kuwekwa, 916.67 - 250 = 666.67.\n Bila kuwekwa, 1000 - 666.67 = 333.33.\n Kwa kuwekwa, 333.33 - 250 = 83.33.\n Bila kuwekwa, 1000 - 83.33 = 916.67.\n Kwa kuwekwa, 916.67 - 250 = 666.67.\n Bila kuwekwa, 1000 - 666.67 = 333.33.\n Kwa kuwekwa, 333.33 - 250 = 83.33.\n Bila kuwekwa, 1000 - 83.33 = 916.67.\n Kwa kuwekwa, 916.67 - 250 = 666.67.\n Bila kuwekwa, 1000 - 666.67 = 333.33.\n Kwa kuwekwa, 333.33 - 250 = 83.33.\n Bila kuwekwa, 1000 - 83.33 = 916.67.\n Kwa kuwekwa, 916.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The question asks how many puzzle pieces remain unset after Poppy finishes some and her mother finishes more. Poppy deals with a quarter of the 1000 pieces, leaving 750 pieces. Then, the mother works on one-third of the remaining 750 pieces, which is 250 pieces. Thus, 500 pieces remain unset (750 - 250 = 500). \n\nThe model's answer does not follow a logical deduction and provides calculations that do not align with the problem or its requirements. The calculations presented are incorrect, resulting in a final count that is unrelated to the correct sequence or final result, 500.\n\nThe model's answer does not match the golden answer. Therefore, the score is [[0]]."]}
0
0
[705]
[]
[' Poppy anatatua fumbo lenye vipande 1000.\n Anaweza robo moja ya vipande hivyo kwenye ubao, kisha mamake anaweza thuluthi moja ya vipande vinavyosalia.\n Robo moja ya 1000 vipande hivyo kwenye ubao 1000 / 4 = 250.\n Thuluthi moja ya 1000 vipande vinavyosalia 1000 / 3 = 333.33.\n Kwa kuwekwa, 333.33 - 250 = 83.33.\n Bila kuwekwa, 1000 - 83.33 = 916.67.\n Kwa kuwekwa, 916.67 - 250 = 666.67.\n Bila kuwekwa, 1000 - 666.67 = 333.33.\n Kwa kuwekwa, 333.33 - 250 = 83.33.\n Bila kuwekwa, 1000 - 83.33 = 916.67.\n Kwa kuwekwa, 916.67 - 250 = 666.67.\n Bila kuwekwa, 1000 - 666.67 = 333.33.\n Kwa kuwekwa, 333.33 - 250 = 83.33.\n Bila kuwekwa, 1000 - 83.33 = 916.67.\n Kwa kuwekwa, 916.67 - 250 = 666.67.\n Bila kuwekwa, 1000 - 666.67 = 333.33.\n Kwa kuwekwa, 333.33 - 250 = 83.33.\n Bila kuwekwa, 1000 - 83.33 = 916.67.\n Kwa kuwekwa, 916.67 - 250 = 666.67.\n Bila kuwekwa, 1000 - 666.67 = 333.33.\n Kwa kuwekwa, 333.33 - 250 = 83.33.\n Bila kuwekwa, 1000 - 83.33 = 916.67.\n Kwa kuwekwa, 916.']
{'question': 'Poppy anatatua fumbo lenye vipande 1000. Anaweza robo moja ya vipande hivyo kwenye ubao, kisha mamake anaweza thuluthi moja ya vipande vinavyosalia. Vipande vingapi vimesalia bila kuwekwa?'}
[0]
['40']
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Question: Kwa wanafunzi 200 wa darasa la 5, 2/5 ni wavulana na 2/3 ya wasichana wapo katika skauti ya wasichana. Ni wasichana wangapi hawako kwenye skauti ya wasichana? Answer:
Question: Kwa wanafunzi 200 wa darasa la 5, 2/5 ni wavulana na 2/3 ya wasichana wapo katika skauti ya wasichana. Ni wasichana wangapi hawako kwenye skauti ya wasichana? Answer:
[]
[0]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Kwa wanafunzi 200 wa darasa la 5, 2/5 ni wavulana na 2/3 ya wasichana wapo katika skauti ya wasichana. Ni wasichana wangapi hawako kwenye skauti ya wasichana?\nGolden Answer: 40\nModel\'s Answer: 2/5 * 200 = 0.4 * 200 = 80\n 2/3 * 200 = 0.6666666666666666 * 200 = 133.33\n 80 + 133.33 = 213.33\n 213.33 ≈ 213 (kwa kawari)\n 213 - 80 = 133\n 133 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's answer does not correctly calculate the number of girls not in the scout. According to the question, 2/5 of the 200 students are boys, equating to 80 boys, leaving 120 girls (since 200 - 80 = 120). Of these 120 girls, 2/3 are in the scout group, which equals 80 girls in the scout (120 * 2/3 = 80). Therefore, the number of girls not in the scout is 120 - 80 = 40, which matches the golden answer. The model's answer is incorrect due to multiple calculation errors and rounding issues, and it does not correctly arrive at the result of 40. \n\nThe score: [[0]]"]}
0
0
[712]
[]
[' 2/5 * 200 = 0.4 * 200 = 80\n 2/3 * 200 = 0.6666666666666666 * 200 = 133.33\n 80 + 133.33 = 213.33\n 213.33 ≈ 213 (kwa kawari)\n 213 - 80 = 133\n 133 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.33 ≈ 133.33 (kwa kawari)\n 133.']
{'question': 'Kwa wanafunzi 200 wa darasa la 5, 2/5 ni wavulana na 2/3 ya wasichana wapo katika skauti ya wasichana. Ni wasichana wangapi hawako kwenye skauti ya wasichana?'}
[0]
['48']
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Question: Kuna shule nne zinazoshindana katika shindano la mpira wa kikapu. Kila shule imetuma timu ya wasichana ya mpira wa kikapu na timu ya wavulana ya mpira wa kikapu na kila timu ina wachezaji 5. Kila shule pia imetuma kocha wa kila timu. Kwa jumla, shule zote zimewatuma watu wangapi? Answer:
Question: Kuna shule nne zinazoshindana katika shindano la mpira wa kikapu. Kila shule imetuma timu ya wasichana ya mpira wa kikapu na timu ya wavulana ya mpira wa kikapu na kila timu ina wachezaji 5. Kila shule pia imetuma kocha wa kila timu. Kwa jumla, shule zote zimewatuma watu wangapi? Answer:
[]
[0]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Kuna shule nne zinazoshindana katika shindano la mpira wa kikapu. Kila shule imetuma timu ya wasichana ya mpira wa kikapu na timu ya wavulana ya mpira wa kikapu na kila timu ina wachezaji 5. Kila shule pia imetuma kocha wa kila timu. Kwa jumla, shule zote zimewatuma watu wangapi?\nGolden Answer: 48\nModel\'s Answer: Kila shule imetuma timu ya wasichana ya mpira wa kikapu na timu ya wavulana ya mpira wa kikapu, kila timu ina wachezaji 5.\n Kila shule pia imetuma kocha wa kila timu.\n Kwa jumla, kila shule imetuma 5 + 5 + 1 = 10 + 1 = 11 watu.\n Kuna shule nne, kwa jumla, shule zote imetuma 11 * 4 = 44 watu.\n Kwa jumla, shule zote imetuma 44 watu.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's reasoning identifies the correct components: each school has two teams (girls and boys), each team has 5 players, and each school sends a coach for each team. Thus, each school sends 5 (girls' team) + 5 (boys' team) + 1 (coach for girls' team) + 1 (coach for boys' team) = 12 people, not 11 as the model calculated. However, the model's answer concludes with 11 (not 12) people per school, and for 4 schools, it calculates 11 * 4 = 44 people, instead of the correct 12 * 4 = 48 people. Therefore, the model's answer does not match the golden answer.\n\nScore: [[0]]"]}
0
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[661]
[]
[' Kila shule imetuma timu ya wasichana ya mpira wa kikapu na timu ya wavulana ya mpira wa kikapu, kila timu ina wachezaji 5.\n Kila shule pia imetuma kocha wa kila timu.\n Kwa jumla, kila shule imetuma 5 + 5 + 1 = 10 + 1 = 11 watu.\n Kuna shule nne, kwa jumla, shule zote imetuma 11 * 4 = 44 watu.\n Kwa jumla, shule zote imetuma 44 watu.']
{'question': 'Kuna shule nne zinazoshindana katika shindano la mpira wa kikapu. Kila shule imetuma timu ya wasichana ya mpira wa kikapu na timu ya wavulana ya mpira wa kikapu na kila timu ina wachezaji 5. Kila shule pia imetuma kocha wa kila timu. Kwa jumla, shule zote zimewatuma watu wangapi?'}
[0]
['15']
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Question: Jackie anajaribu kuamua kama atajifanyia ushuru wake yeye mwenyewe au amtafute mhasibu. Akijifanyia ushuru yeye mwenyewe, ataweza kufanya saa 3 chache za kazi yake ya huria, na kupoteza mapato ya $35 kila saa. Mhasibu anamtoza $90. Ataokoa pesa ngapi iwapo atampa mhasibu kazi hiyo? Answer:
Question: Jackie anajaribu kuamua kama atajifanyia ushuru wake yeye mwenyewe au amtafute mhasibu. Akijifanyia ushuru yeye mwenyewe, ataweza kufanya saa 3 chache za kazi yake ya huria, na kupoteza mapato ya $35 kila saa. Mhasibu anamtoza $90. Ataokoa pesa ngapi iwapo atampa mhasibu kazi hiyo? Answer:
[]
[0]
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device='cuda:0')]
{'judge_score_gpt-4o': 1, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Jackie anajaribu kuamua kama atajifanyia ushuru wake yeye mwenyewe au amtafute mhasibu. Akijifanyia ushuru yeye mwenyewe, ataweza kufanya saa 3 chache za kazi yake ya huria, na kupoteza mapato ya $35 kila saa. Mhasibu anamtoza $90. Ataokoa pesa ngapi iwapo atampa mhasibu kazi hiyo?\nGolden Answer: 15\nModel\'s Answer: Akijifanyia ushuru yeye mwenyewe, ataweza kufanya saa 3 chache za kazi yake ya huria, na kupoteza mapato ya $35 kila saa. \n Kufanya saa 3 chache za kazi yake ya huria, ataweza kufanya $35 * 3 = $105. \n Mhasibu anamtoza $90. \n Iwapo atampa mhasibu kazi hiyo, ataweza kufanya $105 - $90 = $15. \n Ntawo, ataweza kufanya $15 iwapo atampa mhasibu kazi hiyo.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The question asks how much money Jackie will save if she hires an accountant. The golden answer is $15, indicating that hiring the accountant will save her $15 compared to doing the taxes herself. The model's answer correctly calculates that Jackie would lose $105 by doing her taxes herself (3 hours lost at $35 per hour) and then subtracts the accountant's fee of $90, resulting in a saving of $15. The model's reasoning and calculations align perfectly with the golden answer. Therefore, the model's answer is correct.\n\nScore: [[1]]"]}
0
0
[662]
[]
[' Akijifanyia ushuru yeye mwenyewe, ataweza kufanya saa 3 chache za kazi yake ya huria, na kupoteza mapato ya $35 kila saa. \n Kufanya saa 3 chache za kazi yake ya huria, ataweza kufanya $35 * 3 = $105. \n Mhasibu anamtoza $90. \n Iwapo atampa mhasibu kazi hiyo, ataweza kufanya $105 - $90 = $15. \n Ntawo, ataweza kufanya $15 iwapo atampa mhasibu kazi hiyo.']
{'question': 'Jackie anajaribu kuamua kama atajifanyia ushuru wake yeye mwenyewe au amtafute mhasibu. Akijifanyia ushuru yeye mwenyewe, ataweza kufanya saa 3 chache za kazi yake ya huria, na kupoteza mapato ya $35 kila saa. Mhasibu anamtoza $90. Ataokoa pesa ngapi iwapo atampa mhasibu kazi hiyo?'}
[0]
['300']
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Question: Mpishi alinunua mifuko 4 ya vitunguu. Kila mfuko kina uzani wa pauni 50. Pauni moja ya vitunguu ni $1.50. Mpishi huyo alitumia pesa ngapi? Answer:
Question: Mpishi alinunua mifuko 4 ya vitunguu. Kila mfuko kina uzani wa pauni 50. Pauni moja ya vitunguu ni $1.50. Mpishi huyo alitumia pesa ngapi? Answer:
[]
[0]
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{'judge_score_gpt-4o': 1, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Mpishi alinunua mifuko 4 ya vitunguu. Kila mfuko kina uzani wa pauni 50. Pauni moja ya vitunguu ni $1.50. Mpishi huyo alitumia pesa ngapi?\nGolden Answer: 300\nModel\'s Answer: Kila mfuko kina uzani wa pauni 50.\n Mifuko 4 kina uzani wa 4 * 50 = 200 pauni.\n Pauni moja ya vitunguu ni $1.50.\n 200 pauni kina 200 * $1.50 = $300.\n Mpishi huyo alitumia $300.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's answer calculates the total cost correctly by first determining the total weight of the onions: 4 bags each weighing 50 pounds, leading to a total of 4 * 50 = 200 pounds. Then, it calculates the total cost by multiplying the total weight by the price per pound: 200 pounds * $1.50 = $300. The model's answer correctly matches the golden answer of 300. Therefore, the model's answer and the golden answer are the same. The score: [[1]]"]}
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[719]
[]
[' Kila mfuko kina uzani wa pauni 50.\n Mifuko 4 kina uzani wa 4 * 50 = 200 pauni.\n Pauni moja ya vitunguu ni $1.50.\n 200 pauni kina 200 * $1.50 = $300.\n Mpishi huyo alitumia $300.']
{'question': 'Mpishi alinunua mifuko 4 ya vitunguu. Kila mfuko kina uzani wa pauni 50. Pauni moja ya vitunguu ni $1.50. Mpishi huyo alitumia pesa ngapi?'}
[0]
['7500']
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Question: Mark ni mhariri wa nakala. Anahariri idadi inayotoshana ya sentensi kila wiki kwa ajili ya wachapishaji wawili tofauti, ambao kila mmoja anamlipa kwa kiwango tofauti kwa kila sentensi. Mchapishaji B anamlipa Mark mara mbili ya kile Mchapishaji A humlipa. Mark anahariri jumla ya sentensi 1000 kila wiki, na Publisher A humlipa senti 5 kwa kila sentensi. Mark hutengeneza pesa ngapi kwa wiki, kwa senti? Answer:
Question: Mark ni mhariri wa nakala. Anahariri idadi inayotoshana ya sentensi kila wiki kwa ajili ya wachapishaji wawili tofauti, ambao kila mmoja anamlipa kwa kiwango tofauti kwa kila sentensi. Mchapishaji B anamlipa Mark mara mbili ya kile Mchapishaji A humlipa. Mark anahariri jumla ya sentensi 1000 kila wiki, na Publisher A humlipa senti 5 kwa kila sentensi. Mark hutengeneza pesa ngapi kwa wiki, kwa senti? Answer:
[]
[0]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Mark ni mhariri wa nakala. Anahariri idadi inayotoshana ya sentensi kila wiki kwa ajili ya wachapishaji wawili tofauti, ambao kila mmoja anamlipa kwa kiwango tofauti kwa kila sentensi. Mchapishaji B anamlipa Mark mara mbili ya kile Mchapishaji A humlipa. Mark anahariri jumla ya sentensi 1000 kila wiki, na Publisher A humlipa senti 5 kwa kila sentensi. Mark hutengeneza pesa ngapi kwa wiki, kwa senti?\nGolden Answer: 7500\nModel\'s Answer: Mark anahariri sentensi 1000 kila wiki.\n Mchapishaji A humlipa senti 5 kwa kila sentensi, kwa 1000 sentensi, Mchapishaji A humlipa 5 * 1000 = 5000 senti.\n Mchapishaji B humlipa Mark mara mbili ya kile Mchapishaji A humlipa, kwa 5000 senti, Mchapishaji B humlipa 2 * 5000 = 10000 senti.\n Mark hutengeneza 5000 + 10000 = 15000 senti kwa wiki.\n Mark hutengeneza 15000 senti kwa wiki.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The golden answer states that Mark makes 7500 cents per week. The model's answer calculates that Mark makes 15000 cents per week. The discrepancy arises because the model's answer calculates payments from both Publisher A and Publisher B without recognizing the split in the number of sentences each publisher is paying for. The model erroneously assumes both publishers pay for all 1000 sentences, leading to an incorrect total. Given that the model's answer does not match the golden answer, the correctness score is: [[0]]."]}
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[629]
[]
[' Mark anahariri sentensi 1000 kila wiki.\n Mchapishaji A humlipa senti 5 kwa kila sentensi, kwa 1000 sentensi, Mchapishaji A humlipa 5 * 1000 = 5000 senti.\n Mchapishaji B humlipa Mark mara mbili ya kile Mchapishaji A humlipa, kwa 5000 senti, Mchapishaji B humlipa 2 * 5000 = 10000 senti.\n Mark hutengeneza 5000 + 10000 = 15000 senti kwa wiki.\n Mark hutengeneza 15000 senti kwa wiki.']
{'question': 'Mark ni mhariri wa nakala. Anahariri idadi inayotoshana ya sentensi kila wiki kwa ajili ya wachapishaji wawili tofauti, ambao kila mmoja anamlipa kwa kiwango tofauti kwa kila sentensi. Mchapishaji B anamlipa Mark mara mbili ya kile Mchapishaji A humlipa. Mark anahariri jumla ya sentensi 1000 kila wiki, na Publisher A humlipa senti 5 kwa kila sentensi. Mark hutengeneza pesa ngapi kwa wiki, kwa senti?'}
[0]
['6']
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Question: Vincent anaweza kununua maua katika vifurushi vya 3 kwa $2.50 au katika vifurushi 2 vya $1. Huwa anaokoa pesa ngapi kwa kununua maua 18 kwa bei bora? Answer:
Question: Vincent anaweza kununua maua katika vifurushi vya 3 kwa $2.50 au katika vifurushi 2 vya $1. Huwa anaokoa pesa ngapi kwa kununua maua 18 kwa bei bora? Answer:
[]
[0]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Vincent anaweza kununua maua katika vifurushi vya 3 kwa $2.50 au katika vifurushi 2 vya $1. Huwa anaokoa pesa ngapi kwa kununua maua 18 kwa bei bora?\nGolden Answer: 6\nModel\'s Answer: Vincent anaweza kununua 3 vifurushi kwa $2.50, 2 vifurushi kwa $1, 6 vifurushi kwa $1.50, 9 vifurushi kwa $2, 12 vifurushi kwa $2.50, 15 vifurushi kwa $3, 18 vifurushi kwa $3.50.\n Kwa $2.50, 3 vifurushi = $7.50, 6 vifurushi = $9, 9 vifurushi = $18, 12 vifurushi = $30, 15 vifurushi = $45, 18 vifurushi = $63.\n Kwa $1, 2 vifurushi = $2, 6 vifurushi = $6, 9 vifurushi = $9, 12 vifurushi = $12, 15 vifurushi = $15, 18 vifurushi = $18.\n Kwa $1.50, 6 vifurushi = $9, 9 vifurushi = $13.50, 12 vifurushi = $18, 15 vifurushi = $22.50, 18 vifurushi = $27.\n Kwa $2, 9 vifurushi = $18, 12 vifurushi = $24, 15 vifurushi = $30, 18 vifurushi = $36.\n Kwa $2.50, 12 vifurushi = $30, 15 vifurushi = $45, 18 vifurushi = $63.\n Kwa $3, 15 vifurushi = $45, 18 vifurushi = $54.\n Kwa $3.50, 18 vifurushi = $63.\n Kwa $7.50, 3 vifurushi = $22.50, 6 vifurushi = $45, 9 vifurushi = $67.50, 12 vifurushi = $90, 15 vifurushi = $112.50, 18 vifurushi = $135.\n Kwa $9, 6 vifurushi = $54, 9 vif\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The question asks how much Vincent saves by buying flowers in the best package deal for 18 flowers. The golden answer states that the saving amount is $6. However, the model's answer is a lengthy list of incorrect computations without a clear conclusion or a calculation that leads to the golden answer of $6. The model fails to provide a clear comparison of costs between the possible purchase options and does not calculate or state the amount of money saved. The model's response does not appropriately address the question or match the correct answer.\n\nScore: [[0]]"]}
0
0
[713]
[]
[' Vincent anaweza kununua 3 vifurushi kwa $2.50, 2 vifurushi kwa $1, 6 vifurushi kwa $1.50, 9 vifurushi kwa $2, 12 vifurushi kwa $2.50, 15 vifurushi kwa $3, 18 vifurushi kwa $3.50.\n Kwa $2.50, 3 vifurushi = $7.50, 6 vifurushi = $9, 9 vifurushi = $18, 12 vifurushi = $30, 15 vifurushi = $45, 18 vifurushi = $63.\n Kwa $1, 2 vifurushi = $2, 6 vifurushi = $6, 9 vifurushi = $9, 12 vifurushi = $12, 15 vifurushi = $15, 18 vifurushi = $18.\n Kwa $1.50, 6 vifurushi = $9, 9 vifurushi = $13.50, 12 vifurushi = $18, 15 vifurushi = $22.50, 18 vifurushi = $27.\n Kwa $2, 9 vifurushi = $18, 12 vifurushi = $24, 15 vifurushi = $30, 18 vifurushi = $36.\n Kwa $2.50, 12 vifurushi = $30, 15 vifurushi = $45, 18 vifurushi = $63.\n Kwa $3, 15 vifurushi = $45, 18 vifurushi = $54.\n Kwa $3.50, 18 vifurushi = $63.\n Kwa $7.50, 3 vifurushi = $22.50, 6 vifurushi = $45, 9 vifurushi = $67.50, 12 vifurushi = $90, 15 vifurushi = $112.50, 18 vifurushi = $135.\n Kwa $9, 6 vifurushi = $54, 9 vif']
{'question': 'Vincent anaweza kununua maua katika vifurushi vya 3 kwa $2.50 au katika vifurushi 2 vya $1. Huwa anaokoa pesa ngapi kwa kununua maua 18 kwa bei bora?'}
[0]
['70']
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Question: John anachukua mbwa. Anampeleka mbwa huyo kwa mnadhifishaji, kwa gharama ya $100. Mnadhifishaji huyo anampa kipunguzo cha 30% kwa kuwa mteja mpya. Unadhifishaji huo utamgharimu pesa ngapi? Answer:
Question: John anachukua mbwa. Anampeleka mbwa huyo kwa mnadhifishaji, kwa gharama ya $100. Mnadhifishaji huyo anampa kipunguzo cha 30% kwa kuwa mteja mpya. Unadhifishaji huo utamgharimu pesa ngapi? Answer:
[]
[0]
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{'judge_score_gpt-4o': 1, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: John anachukua mbwa. Anampeleka mbwa huyo kwa mnadhifishaji, kwa gharama ya $100. Mnadhifishaji huyo anampa kipunguzo cha 30% kwa kuwa mteja mpya. Unadhifishaji huo utamgharimu pesa ngapi?\nGolden Answer: 70\nModel\'s Answer: Anampeleka mbwa huyo kwa mnadhifishaji, kwa gharama ya $100.\n Mnadhifishaji huyo anampa kipunguzo cha 30% kwa kuwa mteja mpya.\n Kipunguzo 30% kwa $100 anampeleka $100 * 30 / 100 = 3000 / 100 = $30.\n Kwa kipunguzo, anampeleka $100 - $30 = $70.\n Unadhifishaji huo utamgharimu $70.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's answer correctly calculates the discount of 30% on $100, which is $30. It then subtracts the $30 discount from the original $100 to arrive at the final cost of $70 after the discount. This matches the golden answer of 70. The model's step-by-step solution and final answer are correct and align with the golden answer.\n\nThe score: [[1]]"]}
0
0
[696]
[]
[' Anampeleka mbwa huyo kwa mnadhifishaji, kwa gharama ya $100.\n Mnadhifishaji huyo anampa kipunguzo cha 30% kwa kuwa mteja mpya.\n Kipunguzo 30% kwa $100 anampeleka $100 * 30 / 100 = 3000 / 100 = $30.\n Kwa kipunguzo, anampeleka $100 - $30 = $70.\n Unadhifishaji huo utamgharimu $70.']
{'question': 'John anachukua mbwa. Anampeleka mbwa huyo kwa mnadhifishaji, kwa gharama ya $100. Mnadhifishaji huyo anampa kipunguzo cha 30% kwa kuwa mteja mpya. Unadhifishaji huo utamgharimu pesa ngapi?'}
[0]
['13']
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Question: Carlos anapanda mlimau. Mti huo utagharimu $90 kuupanda. Kila mwaka utazaa limau 7, anazoweza kuuza kwa $1.5 kila moja. Gharama ya kunyunyiza maji na kulisha mti huo kila mwaka ni $3. Itachukua miaka mingapi kabla ya yeye kuanza kupata mapato kutoka kwa mlimau huo? Answer:
Question: Carlos anapanda mlimau. Mti huo utagharimu $90 kuupanda. Kila mwaka utazaa limau 7, anazoweza kuuza kwa $1.5 kila moja. Gharama ya kunyunyiza maji na kulisha mti huo kila mwaka ni $3. Itachukua miaka mingapi kabla ya yeye kuanza kupata mapato kutoka kwa mlimau huo? Answer:
[]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Carlos anapanda mlimau. Mti huo utagharimu $90 kuupanda. Kila mwaka utazaa limau 7, anazoweza kuuza kwa $1.5 kila moja. Gharama ya kunyunyiza maji na kulisha mti huo kila mwaka ni $3. Itachukua miaka mingapi kabla ya yeye kuanza kupata mapato kutoka kwa mlimau huo?\nGolden Answer: 13\nModel\'s Answer: Mti huo utagharimu $90 kuupanda.\n Kila mwaka, Carlos anazoweza kuuza limau 7 kwa $1.5 kila moja, nana $7 * 1.5 = 10.5$.\n Kila mwaka, Carlos kuna $3 kwa kunyunyiza maji na kulisha mti huo.\n Kila mwaka, Carlos kuna $90 - 10.5 - 3 = 79.5 - 3 = 76.5$.\n Kila mwaka, Carlos kuna $76.5 - 90 = -13.5$.\n Kila miaka, Carlos kuna $13.5 * 12 = 162$.\n Kila miaka, Carlos kuna $162 - 90 = 72$.\n Kila miaka, Carlos kuna $72 - 90 = -18$.\n Kila miaka, Carlos kuna $18 * 12 = 216$.\n Kila miaka, Carlos kuna $216 - 90 = 126$.\n Kila miaka, Carlos kuna $126 - 90 = 36$.\n Kila miaka, Carlos kuna $36 - 90 = -54$.\n Kila miaka, Carlos kuna $54 * 12 = 648$.\n Kila miaka, Carlos kuna $648 - 90 = 558$.\n Kila miaka, Carlos kuna $558 - 90 = 468$.\n Kila miaka, Carlos kuna $468 - 90 = 378$.\n Kila miaka, Carlos kuna $378 - 90 = 288$.\n Kila miaka, Carlos kuna $288 - 90 = 198$.\n Kila miaka, Carlos kuna $198 - 90 = 108$.\n Kila miaka, Carlos kuna $108 - 90 = 18$.\n Kila miaka, Carlos kuna $18 * 12 = 216$.\n Kila miaka, Carlos kuna $216 - 90 = 126$.\n Kila miaka, Carlos kuna $126 - 90 = 36$.\n Kila miaka, Carlos kuna $36 - 90 = -54$.\n Kila miaka,\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The problem is calculating the number of years it will take for Carlos to start seeing profit from his lime tree investment. The initial cost is $90, with each year bringing in income from selling 7 limes at $1.5 each, totaling $10.5. The yearly expenses are $3, leaving an annual net profit of $7.5 ($10.5 - $3). To recover the initial $90 cost, Carlos would need $90 / $7.5 = 12 years. Thus, he would start profiting in the 13th year.\n\nThe model answer does not follow a clear or correct calculation process and does not conclude with the correct number of years. In comparison, the golden answer provides the correct number of years, 13. Therefore, the model's answer does not match the golden answer, nor does it correctly follow the necessary steps to arrive at the conclusion.\n\nJudgment Score: [[0]]"]}
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[' Mti huo utagharimu $90 kuupanda.\n Kila mwaka, Carlos anazoweza kuuza limau 7 kwa $1.5 kila moja, nana $7 * 1.5 = 10.5$.\n Kila mwaka, Carlos kuna $3 kwa kunyunyiza maji na kulisha mti huo.\n Kila mwaka, Carlos kuna $90 - 10.5 - 3 = 79.5 - 3 = 76.5$.\n Kila mwaka, Carlos kuna $76.5 - 90 = -13.5$.\n Kila miaka, Carlos kuna $13.5 * 12 = 162$.\n Kila miaka, Carlos kuna $162 - 90 = 72$.\n Kila miaka, Carlos kuna $72 - 90 = -18$.\n Kila miaka, Carlos kuna $18 * 12 = 216$.\n Kila miaka, Carlos kuna $216 - 90 = 126$.\n Kila miaka, Carlos kuna $126 - 90 = 36$.\n Kila miaka, Carlos kuna $36 - 90 = -54$.\n Kila miaka, Carlos kuna $54 * 12 = 648$.\n Kila miaka, Carlos kuna $648 - 90 = 558$.\n Kila miaka, Carlos kuna $558 - 90 = 468$.\n Kila miaka, Carlos kuna $468 - 90 = 378$.\n Kila miaka, Carlos kuna $378 - 90 = 288$.\n Kila miaka, Carlos kuna $288 - 90 = 198$.\n Kila miaka, Carlos kuna $198 - 90 = 108$.\n Kila miaka, Carlos kuna $108 - 90 = 18$.\n Kila miaka, Carlos kuna $18 * 12 = 216$.\n Kila miaka, Carlos kuna $216 - 90 = 126$.\n Kila miaka, Carlos kuna $126 - 90 = 36$.\n Kila miaka, Carlos kuna $36 - 90 = -54$.\n Kila miaka,']
{'question': 'Carlos anapanda mlimau. Mti huo utagharimu $90 kuupanda. Kila mwaka utazaa limau 7, anazoweza kuuza kwa $1.5 kila moja. Gharama ya kunyunyiza maji na kulisha mti huo kila mwaka ni $3. Itachukua miaka mingapi kabla ya yeye kuanza kupata mapato kutoka kwa mlimau huo?'}
[0]
['120']
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Question: Pauni 200 za karoti zinafaa kusambazwa kwa mikahawa 40 katika jiji fulani. Kila mkahawa unafaa kupokea pauni 2 za karoti. Pauni ngapi za karoti hazitatumika? Answer:
Question: Pauni 200 za karoti zinafaa kusambazwa kwa mikahawa 40 katika jiji fulani. Kila mkahawa unafaa kupokea pauni 2 za karoti. Pauni ngapi za karoti hazitatumika? Answer:
[]
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{'judge_score_gpt-4o': 1, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Pauni 200 za karoti zinafaa kusambazwa kwa mikahawa 40 katika jiji fulani. Kila mkahawa unafaa kupokea pauni 2 za karoti. Pauni ngapi za karoti hazitatumika?\nGolden Answer: 120\nModel\'s Answer: Kila mkahawa unafaa kupokea pauni 2 za karoti, na jiji fulani zinafaa 40 mkahawa.\n Pauni 200 za karoti zinafaa kwa 40 mkahawa, kila mkahawa unafaa kupokea 2 pauni.\n 40 * 2 = 80 pauni.\n 200 - 80 = 120 pauni.\n Pauni 120 za karoti hazitatumika.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's answer aligns with the golden answer by following a similar calculation process. The question states that 200 pounds of carrots are to be distributed across 40 restaurants, each receiving 2 pounds. The model correctly calculates that 40 restaurants receiving 2 pounds each will require a total of 80 pounds (40 * 2 = 80). Subtracting this from the initial 200 pounds, the model arrives at 120 pounds not being used (200 - 80 = 120), which matches the golden answer.\n\nThe model and the ground truth answer are the same. The score: [[1]]"]}
0
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[716]
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[' Kila mkahawa unafaa kupokea pauni 2 za karoti, na jiji fulani zinafaa 40 mkahawa.\n Pauni 200 za karoti zinafaa kwa 40 mkahawa, kila mkahawa unafaa kupokea 2 pauni.\n 40 * 2 = 80 pauni.\n 200 - 80 = 120 pauni.\n Pauni 120 za karoti hazitatumika.']
{'question': 'Pauni 200 za karoti zinafaa kusambazwa kwa mikahawa 40 katika jiji fulani. Kila mkahawa unafaa kupokea pauni 2 za karoti. Pauni ngapi za karoti hazitatumika?'}
[0]
['16']
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Question: Charlie marafiki mara tatu zaidi ya marafiki wa Dorothy kwenye Facebook. James ana marafiki mara nne zaidi ya marafiki wa Dorothy kwenye Facebook. Iwapo Charlie ana marafiki 12 kwenye Facebook, James ana marafiki wangapi kwenye Facebook? Answer:
Question: Charlie marafiki mara tatu zaidi ya marafiki wa Dorothy kwenye Facebook. James ana marafiki mara nne zaidi ya marafiki wa Dorothy kwenye Facebook. Iwapo Charlie ana marafiki 12 kwenye Facebook, James ana marafiki wangapi kwenye Facebook? Answer:
[]
[0]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Charlie marafiki mara tatu zaidi ya marafiki wa Dorothy kwenye Facebook. James ana marafiki mara nne zaidi ya marafiki wa Dorothy kwenye Facebook. Iwapo Charlie ana marafiki 12 kwenye Facebook, James ana marafiki wangapi kwenye Facebook?\nGolden Answer: 16\nModel\'s Answer: Charlie ana marafiki 12 kwenye Facebook.\n Charlie marafiki mara tatu zaidi ya marafiki wa Dorothy kwenye Facebook, so Dorothy ana marafiki 12 - 3 = 9 kwenye Facebook.\n James ana marafiki mara nne zaidi ya marafiki wa Dorothy kwenye Facebook, so James ana marafiki 9 + 4 = 13 kwenye Facebook.\n James ana marafiki 13 kwenye Facebook.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The question states that Charlie has three times as many friends as Dorothy, and James has four times as many friends as Dorothy. Charlie has 12 friends. Thus, we can calculate Dorothy's friends as 12/3 = 4. Since James has four times as many friends as Dorothy, James should have 4 * 4 = 16 friends. \n\nHowever, the model's answer states that Dorothy has 9 friends (incorrectly calculated) and then calculates James's friends as 13 (based on the incorrect value for Dorothy's friends). Therefore, the model's answer does not match the correct process or the golden answer of 16 friends for James. \n\nThe score is: [[0]]"]}
0
0
[704]
[]
[' Charlie ana marafiki 12 kwenye Facebook.\n Charlie marafiki mara tatu zaidi ya marafiki wa Dorothy kwenye Facebook, so Dorothy ana marafiki 12 - 3 = 9 kwenye Facebook.\n James ana marafiki mara nne zaidi ya marafiki wa Dorothy kwenye Facebook, so James ana marafiki 9 + 4 = 13 kwenye Facebook.\n James ana marafiki 13 kwenye Facebook.']
{'question': 'Charlie marafiki mara tatu zaidi ya marafiki wa Dorothy kwenye Facebook. James ana marafiki mara nne zaidi ya marafiki wa Dorothy kwenye Facebook. Iwapo Charlie ana marafiki 12 kwenye Facebook, James ana marafiki wangapi kwenye Facebook?'}
[0]
['16']
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Question: Cynthia hukula kipande kimoja cha aiskrimu kila usiku. Yeye hununua katoni za aiskrimu zilizo na vipande 15 vya aiskrimu kwa kila katoni kwa bei ya $4.00 kwa kila katoni. Baada ya siku 60, atakuwa ametumia pesa ngapi kwenye aiskrimu? Answer:
Question: Cynthia hukula kipande kimoja cha aiskrimu kila usiku. Yeye hununua katoni za aiskrimu zilizo na vipande 15 vya aiskrimu kwa kila katoni kwa bei ya $4.00 kwa kila katoni. Baada ya siku 60, atakuwa ametumia pesa ngapi kwenye aiskrimu? Answer:
[]
[0]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Cynthia hukula kipande kimoja cha aiskrimu kila usiku. Yeye hununua katoni za aiskrimu zilizo na vipande 15 vya aiskrimu kwa kila katoni kwa bei ya $4.00 kwa kila katoni. Baada ya siku 60, atakuwa ametumia pesa ngapi kwenye aiskrimu?\nGolden Answer: 16\nModel\'s Answer: Cynthia hukula kipande kimoja cha aiskrimu kila usiku.\n Yeye hununua katoni za aiskrimu zilizo na vipande 15 vya aiskrimu kwa kila katoni kwa bei ya $4.00 kwa kila katoni.\n Kila katoni na 15 vya aiskrimu kwa kila katoni na $4.00 kwa kila katoni, yeye hukula $4.00 * 15 = $60.00 kwa kila katoni.\n Yeye hukula kipande kimoja cha aiskrimu kila usiku, yeye hukula $60.00 kwa kila katoni * 60 = $3600.00.\n Yeye hukula $3600.00 kwenye aiskrimu.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The question asks for the total amount of money Cynthia will spend on ice cream after 60 days, given that a carton containing 15 pieces costs $4.00. The correct computation should be:\n\n1. Determine how many cartons are needed: Since Cynthia eats one piece per day, for 60 days, she needs 60 pieces.\n2. Compute how many cartons are needed: 60 pieces / 15 pieces per carton = 4 cartons.\n3. Compute the total cost: 4 cartons * $4.00 per carton = $16.00.\n\nThe model's answer is incorrect because it makes a mistake in understanding the problem and calculating the cost. Instead of calculating how many cartons are needed for 60 days, it incorrectly multiplies the cost per carton by 15 and makes an error in subsequent calculations. The correct total cost should be $16, not $3600.\n\nThus, the model's answer does not match the golden answer.\n\nScore: [[0]]"]}
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[683]
[]
[' Cynthia hukula kipande kimoja cha aiskrimu kila usiku.\n Yeye hununua katoni za aiskrimu zilizo na vipande 15 vya aiskrimu kwa kila katoni kwa bei ya $4.00 kwa kila katoni.\n Kila katoni na 15 vya aiskrimu kwa kila katoni na $4.00 kwa kila katoni, yeye hukula $4.00 * 15 = $60.00 kwa kila katoni.\n Yeye hukula kipande kimoja cha aiskrimu kila usiku, yeye hukula $60.00 kwa kila katoni * 60 = $3600.00.\n Yeye hukula $3600.00 kwenye aiskrimu.']
{'question': 'Cynthia hukula kipande kimoja cha aiskrimu kila usiku. Yeye hununua katoni za aiskrimu zilizo na vipande 15 vya aiskrimu kwa kila katoni kwa bei ya $4.00 kwa kila katoni. Baada ya siku 60, atakuwa ametumia pesa ngapi kwenye aiskrimu?'}
[0]
['17']
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Question: Charlie alikuwa na vibandiko 10. Alinunua vibandiko 21 kwenye duka katika jengo la maduka na kupata vibandiko 23 vya siku yake ya kuzaliwa. Kisha Charlie alimpa dadake vibandiko 9 na akatumia 28 kupamba kadi ya salamu. Charlie amesalia na vibandiko vingapi? Answer:
Question: Charlie alikuwa na vibandiko 10. Alinunua vibandiko 21 kwenye duka katika jengo la maduka na kupata vibandiko 23 vya siku yake ya kuzaliwa. Kisha Charlie alimpa dadake vibandiko 9 na akatumia 28 kupamba kadi ya salamu. Charlie amesalia na vibandiko vingapi? Answer:
[]
[0]
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{'judge_score_gpt-4o': 1, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Charlie alikuwa na vibandiko 10. Alinunua vibandiko 21 kwenye duka katika jengo la maduka na kupata vibandiko 23 vya siku yake ya kuzaliwa. Kisha Charlie alimpa dadake vibandiko 9 na akatumia 28 kupamba kadi ya salamu. Charlie amesalia na vibandiko vingapi?\nGolden Answer: 17\nModel\'s Answer: Charlie alikuwa na vibandiko 10.\n Alinunua vibandiko 21, kisha amesalia na 10 + 21 = 31 vibandiko.\n Kisha Charlie akata vibandiko 23, kisha amesalia na 31 + 23 = 54 vibandiko.\n Alimpa dadake vibandiko 9, kisha amesalia na 54 - 9 = 45 vibandiko.\n Akatumia 28, kisha amesalia na 45 - 28 = 17 vibandiko.\n\nCharlie amesalia na vibandiko 17.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's answer begins by stating the initial number of stickers Charlie had, which is 10. It then correctly adds the 21 stickers Charlie bought and the 23 stickers received for his birthday, reaching a total of 54 stickers. Next, it accurately subtracts the 9 stickers given to his sister and the 28 stickers used for decorating, leaving Charlie with 17 stickers in the end. This matches the golden answer of 17 stickers remaining. The model's answer aligns with the given mathematical operations and arrives at the correct solution. \n\nThe correctness score: [[1]]"]}
0
0
[685]
[]
[' Charlie alikuwa na vibandiko 10.\n Alinunua vibandiko 21, kisha amesalia na 10 + 21 = 31 vibandiko.\n Kisha Charlie akata vibandiko 23, kisha amesalia na 31 + 23 = 54 vibandiko.\n Alimpa dadake vibandiko 9, kisha amesalia na 54 - 9 = 45 vibandiko.\n Akatumia 28, kisha amesalia na 45 - 28 = 17 vibandiko.\n\nCharlie amesalia na vibandiko 17.']
{'question': 'Charlie alikuwa na vibandiko 10. Alinunua vibandiko 21 kwenye duka katika jengo la maduka na kupata vibandiko 23 vya siku yake ya kuzaliwa. Kisha Charlie alimpa dadake vibandiko 9 na akatumia 28 kupamba kadi ya salamu. Charlie amesalia na vibandiko vingapi?'}
[0]
['58']
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Question: Mary mkulima wa bustani mwenye shauku. Jana, alipokea mimea 18 iliyowekwa kwenye nyungu kutoka kwa bustani ya miche anayopendelea zaidi. Tayari ana mimea 2 kwenye nyungu kwenye kila vishubaka 40 vya dirisha lake katika boma lake kubwa la mashambani. Kwa kuwa na ukarimu, ameamua kuwa kesho atapeana mmea 1 ulio kwenye chungu kutoka kwa kila kishubaka kwa marafiki na familia. Mary atasalia na mimea mingapi iliyo kwenye nyungu? Answer:
Question: Mary mkulima wa bustani mwenye shauku. Jana, alipokea mimea 18 iliyowekwa kwenye nyungu kutoka kwa bustani ya miche anayopendelea zaidi. Tayari ana mimea 2 kwenye nyungu kwenye kila vishubaka 40 vya dirisha lake katika boma lake kubwa la mashambani. Kwa kuwa na ukarimu, ameamua kuwa kesho atapeana mmea 1 ulio kwenye chungu kutoka kwa kila kishubaka kwa marafiki na familia. Mary atasalia na mimea mingapi iliyo kwenye nyungu? Answer:
[]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Mary mkulima wa bustani mwenye shauku. Jana, alipokea mimea 18 iliyowekwa kwenye nyungu kutoka kwa bustani ya miche anayopendelea zaidi. Tayari ana mimea 2 kwenye nyungu kwenye kila vishubaka 40 vya dirisha lake katika boma lake kubwa la mashambani. Kwa kuwa na ukarimu, ameamua kuwa kesho atapeana mmea 1 ulio kwenye chungu kutoka kwa kila kishubaka kwa marafiki na familia. Mary atasalia na mimea mingapi iliyo kwenye nyungu?\nGolden Answer: 58\nModel\'s Answer: Mary tana mimea 2 kwenye nyungu kwenye kila vishubaka 40 vya dirisha lake katika boma lake kubwa la mashambani.\n Kwa kuwa na ukarimu, ameamua kuwa kesho atapeana mmea 1 ulio kwenye chungu kutoka kwa kila kishubaka kwa marafiki na familia.\n Kila kishubaka 40 vya dirisha lake katika boma lake kubwa la mashambani, kesho atapeana mmea 1 ulio kwenye chungu kwa 40 * 1 = 40 kishubaka.\n Kwa kuwa na ukarimu, ameamua kuwa kesho atapeana mmea 1 ulio kwenye chungu kwa 40 kishubaka.\n Kwa kuwa na ukarimu, ameamua kuwa kesho atapeana mmea 1 ulio kwenye chungu kwa 40 kishubaka.\n Kwa kuwa na ukarimu, ameamua kuwa kesho atapeana mmea 1 ulio kwenye chungu kwa 40 kishubaka.\n Kwa kuwa na ukarimu, ameamua kuwa kesho atapeana mmea 1 ulio kwenye chungu kwa 40 kishubaka.\n Kwa kuwa na ukarimu, ameamua kuwa kesho atapeana mmea 1 ulio kwenye chungu kwa 40 kishubaka.\n Kwa kuwa na ukarimu, ameamua kuwa kesho atapeana mmea 1 ulio kwenye chungu kwa 40 kishubaka.\n Kwa kuwa na ukarimu, ameamua kuwa kesho atapeana mmea 1 ulio kwenye chungu kwa 40 kishubaka.\n Kwa kuwa na ukarimu, ameamua kuwa kesho atapeana mmea 1 ulio kwenye chungu kwa 40 kishubaka.\n Kwa kuwa na ukarimu, ameamua kuwa kesho atapeana mme\nYour Judgment:\n'}], 'judgement_gpt-4o': ["To determine whether the model's answer is correct, let's analyze the information step-by-step.\n\n1. Mary initially has 2 plants per pot in 40 window boxes, which equals 2 * 40 = 80 plants. \n2. She receives an additional 18 plants, resulting in a total of 80 + 18 = 98 plants.\n3. Mary decides to give 1 plant from each of the 40 window boxes, so she will give away 40 plants.\n\nThus, the number of plants Mary will have left is 98 - 40 = 58 plants.\n\nThe model's answer, however, mainly repeats the information about giving away 40 plants for multiple repetitions and does not comprehensively address the remaining plants after some are given away. It does not reach the calculated outcome of 58 plants remaining.\n\nHence, the model's answer does not match the golden answer of 58.\n\nScore: [[0]]"]}
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[' Mary tana mimea 2 kwenye nyungu kwenye kila vishubaka 40 vya dirisha lake katika boma lake kubwa la mashambani.\n Kwa kuwa na ukarimu, ameamua kuwa kesho atapeana mmea 1 ulio kwenye chungu kutoka kwa kila kishubaka kwa marafiki na familia.\n Kila kishubaka 40 vya dirisha lake katika boma lake kubwa la mashambani, kesho atapeana mmea 1 ulio kwenye chungu kwa 40 * 1 = 40 kishubaka.\n Kwa kuwa na ukarimu, ameamua kuwa kesho atapeana mmea 1 ulio kwenye chungu kwa 40 kishubaka.\n Kwa kuwa na ukarimu, ameamua kuwa kesho atapeana mmea 1 ulio kwenye chungu kwa 40 kishubaka.\n Kwa kuwa na ukarimu, ameamua kuwa kesho atapeana mmea 1 ulio kwenye chungu kwa 40 kishubaka.\n Kwa kuwa na ukarimu, ameamua kuwa kesho atapeana mmea 1 ulio kwenye chungu kwa 40 kishubaka.\n Kwa kuwa na ukarimu, ameamua kuwa kesho atapeana mmea 1 ulio kwenye chungu kwa 40 kishubaka.\n Kwa kuwa na ukarimu, ameamua kuwa kesho atapeana mmea 1 ulio kwenye chungu kwa 40 kishubaka.\n Kwa kuwa na ukarimu, ameamua kuwa kesho atapeana mmea 1 ulio kwenye chungu kwa 40 kishubaka.\n Kwa kuwa na ukarimu, ameamua kuwa kesho atapeana mmea 1 ulio kwenye chungu kwa 40 kishubaka.\n Kwa kuwa na ukarimu, ameamua kuwa kesho atapeana mme']
{'question': 'Mary mkulima wa bustani mwenye shauku. Jana, alipokea mimea 18 iliyowekwa kwenye nyungu kutoka kwa bustani ya miche anayopendelea zaidi. Tayari ana mimea 2 kwenye nyungu kwenye kila vishubaka 40 vya dirisha lake katika boma lake kubwa la mashambani. Kwa kuwa na ukarimu, ameamua kuwa kesho atapeana mmea 1 ulio kwenye chungu kutoka kwa kila kishubaka kwa marafiki na familia. Mary atasalia na mimea mingapi iliyo kwenye nyungu?'}
[0]
['21']
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Question: Steve anaamua kuanza kula nyanya nyingi na anaamua kupanda nyanya zake. Huwa anakula mara mbili zaidi ya mchumba wake. Huwa anakula 6 kwa siku. Ikiwa mnyanya mmoja unaweza kuzalisha nyanya 3 kwa wiki, anahitaji miti mingapi ya nyanya? Answer:
Question: Steve anaamua kuanza kula nyanya nyingi na anaamua kupanda nyanya zake. Huwa anakula mara mbili zaidi ya mchumba wake. Huwa anakula 6 kwa siku. Ikiwa mnyanya mmoja unaweza kuzalisha nyanya 3 kwa wiki, anahitaji miti mingapi ya nyanya? Answer:
[]
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5568, 72, 73259, 2113, 13835, 19541, 25041, 1980, 262, 22559, 512, 257], device='cuda:0')]
{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Steve anaamua kuanza kula nyanya nyingi na anaamua kupanda nyanya zake. Huwa anakula mara mbili zaidi ya mchumba wake. Huwa anakula 6 kwa siku. Ikiwa mnyanya mmoja unaweza kuzalisha nyanya 3 kwa wiki, anahitaji miti mingapi ya nyanya?\nGolden Answer: 21\nModel\'s Answer: Steve anaamua kuanza kula nyanya nyingi na anaamua kupanda nyanya zake. \n Huwa anakula mara mbili zaidi ya mchumba wake, kwa siku 6 kwa siku. \n Mchumba wakelana 6 * 2 = 12 kwa siku. \n Ikiwa mnyanya mmoja unaweza kuzalisha nyanya 3 kwa wiki, anahitaji 12 * 3 = 36 miti ya nyanya. \n Steve anahitaji 36 miti ya nyanya.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The golden answer states that Steve needs 21 tomato plants. However, the model incorrectly calculated the number of tomato plants needed as 36. The model misinterpreted the problem, as Steve consumes 6 tomatoes per day, which is twice what his partner eats, equaling 12 per day in this part of the model's explanation. The model assumed this incorrectly and then miscalculated the required number of plants, leading to an incorrect final answer. Thus, the model answer and the golden answer do not align.\n\nThe correctness score: [[0]]."]}
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[687]
[]
[' Steve anaamua kuanza kula nyanya nyingi na anaamua kupanda nyanya zake. \n Huwa anakula mara mbili zaidi ya mchumba wake, kwa siku 6 kwa siku. \n Mchumba wakelana 6 * 2 = 12 kwa siku. \n Ikiwa mnyanya mmoja unaweza kuzalisha nyanya 3 kwa wiki, anahitaji 12 * 3 = 36 miti ya nyanya. \n Steve anahitaji 36 miti ya nyanya.']
{'question': 'Steve anaamua kuanza kula nyanya nyingi na anaamua kupanda nyanya zake. Huwa anakula mara mbili zaidi ya mchumba wake. Huwa anakula 6 kwa siku. Ikiwa mnyanya mmoja unaweza kuzalisha nyanya 3 kwa wiki, anahitaji miti mingapi ya nyanya?'}
[0]
['366']
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Question: Programu mpya ilipakuliwa mara 60 mwezi wa kwanza. Idadi ya upakuaji katika mwezi wa pili ulikuwa mara tatu ya idadi ya upakuaji katika mwezi wa kwanza, lakini ikapungua kwa 30% katika mwezi wa tatu. Programu hiyo ilipakuliwa mara ngapi kwa jumla katika miezi hiyo mitatu? Answer:
Question: Programu mpya ilipakuliwa mara 60 mwezi wa kwanza. Idadi ya upakuaji katika mwezi wa pili ulikuwa mara tatu ya idadi ya upakuaji katika mwezi wa kwanza, lakini ikapungua kwa 30% katika mwezi wa tatu. Programu hiyo ilipakuliwa mara ngapi kwa jumla katika miezi hiyo mitatu? Answer:
[]
[0]
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36409, 1980, 262, 22559, 512, 257], device='cuda:0')]
{'judge_score_gpt-4o': 1, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Programu mpya ilipakuliwa mara 60 mwezi wa kwanza. Idadi ya upakuaji katika mwezi wa pili ulikuwa mara tatu ya idadi ya upakuaji katika mwezi wa kwanza, lakini ikapungua kwa 30% katika mwezi wa tatu. Programu hiyo ilipakuliwa mara ngapi kwa jumla katika miezi hiyo mitatu?\nGolden Answer: 366\nModel\'s Answer: Mwezi wa kwanza: 60\n Mwezi wa pili: 3 * 60 = 180\n Mwezi wa tatu: 180 - (30% * 180) = 180 - 54 = 126\n Jumla: 60 + 180 + 126 = 240 + 126 = 366\n Programu ilipakuliwa mara 366 kwa jumla katika miezi mitatu.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's answer provides a step-by-step calculation that aligns with the golden answer. It calculates the downloads as follows:\n- First month: 60 downloads.\n- Second month: 180 downloads (3 times the first month's 60).\n- Third month: A 30% decrease from 180, resulting in 126 downloads.\n- The total downloads over the three months are calculated as 60 + 180 + 126 = 366.\n\nThe model's answer matches the golden answer: 366. Therefore, the model's answer is correct.\n\nThe score: [[1]]"]}
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[669]
[]
[' Mwezi wa kwanza: 60\n Mwezi wa pili: 3 * 60 = 180\n Mwezi wa tatu: 180 - (30% * 180) = 180 - 54 = 126\n Jumla: 60 + 180 + 126 = 240 + 126 = 366\n Programu ilipakuliwa mara 366 kwa jumla katika miezi mitatu.']
{'question': 'Programu mpya ilipakuliwa mara 60 mwezi wa kwanza. Idadi ya upakuaji katika mwezi wa pili ulikuwa mara tatu ya idadi ya upakuaji katika mwezi wa kwanza, lakini ikapungua kwa 30% katika mwezi wa tatu. Programu hiyo ilipakuliwa mara ngapi kwa jumla katika miezi hiyo mitatu?'}
[0]
['13']
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Question: Jumatatu, Walt alitembea maili 4. Jumanne, alitembea mara 6 zaidi ya maili alizotembea Jumatatu. Jumla ya maili alizotembea Jumatatu hadi Jumatano zilikuwa maili 41. Alitembea maili ngapi siku ya Jumatano? Answer:
Question: Jumatatu, Walt alitembea maili 4. Jumanne, alitembea mara 6 zaidi ya maili alizotembea Jumatatu. Jumla ya maili alizotembea Jumatatu hadi Jumatano zilikuwa maili 41. Alitembea maili ngapi siku ya Jumatano? Answer:
[]
[0]
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46313, 5770, 1980, 262, 22559, 512, 257], device='cuda:0')]
{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Jumatatu, Walt alitembea maili 4. Jumanne, alitembea mara 6 zaidi ya maili alizotembea Jumatatu. Jumla ya maili alizotembea Jumatatu hadi Jumatano zilikuwa maili 41. Alitembea maili ngapi siku ya Jumatano?\nGolden Answer: 13\nModel\'s Answer: Jumatatu, Walt alitembea maili 4.\n Jumanne, alitembea mara 6 zaidi ya maili alizotembea Jumatatu, kwa haka alitembea 4 + 6 = 10 maili.\n Jumla ya maili alizotembea Jumatatu hadi Jumatano zilikuwa maili 41.\n Kwa haka, maili alizotembea Jumatano zilikuwa 41 - 4 - 10 = 37 - 10 = 27 maili.\n Alitembea maili 27 siku ya Jumatano.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's answer is incorrectly calculated. On Monday, Walt walked 4 miles. On Tuesday, he walked 6 times more than Monday, so that would be 4 * 6 = 24 miles on Tuesday. Therefore, total miles from Monday to Wednesday would be: Monday (4) + Tuesday (24) + Wednesday (X) = 41. Solving for X in 4 + 24 + X = 41 gives X = 13. The model concludes that Walt walked 27 miles on Wednesday, which does not align with the golden answer of 13. Therefore, the model's answer is not correct.\n\nThe correctness score: [[0]]."]}
0
0
[690]
[]
[' Jumatatu, Walt alitembea maili 4.\n Jumanne, alitembea mara 6 zaidi ya maili alizotembea Jumatatu, kwa haka alitembea 4 + 6 = 10 maili.\n Jumla ya maili alizotembea Jumatatu hadi Jumatano zilikuwa maili 41.\n Kwa haka, maili alizotembea Jumatano zilikuwa 41 - 4 - 10 = 37 - 10 = 27 maili.\n Alitembea maili 27 siku ya Jumatano.']
{'question': 'Jumatatu, Walt alitembea maili 4. Jumanne, alitembea mara 6 zaidi ya maili alizotembea Jumatatu. Jumla ya maili alizotembea Jumatatu hadi Jumatano zilikuwa maili 41. Alitembea maili ngapi siku ya Jumatano?'}
[0]
['10']
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Question: Jennie anasaidia katika ofisi ya mamake. Ana mrundo wa barua 60 zinazohitaji kutiliwa muhuri, na mrundo wa barua ambazo tayari zina muhuri. Anaweka muhuri kwenye thuluthi moja ya barua zinazohitaji muhuri. Ikiwa sasa kuna barua 30 katika mrundo wa barua zilizo na muhuri, barua ngapi zilikuwa katika mrundo huo kabla ya Jennie kuanza? Answer:
Question: Jennie anasaidia katika ofisi ya mamake. Ana mrundo wa barua 60 zinazohitaji kutiliwa muhuri, na mrundo wa barua ambazo tayari zina muhuri. Anaweka muhuri kwenye thuluthi moja ya barua zinazohitaji muhuri. Ikiwa sasa kuna barua 30 katika mrundo wa barua zilizo na muhuri, barua ngapi zilikuwa katika mrundo huo kabla ya Jennie kuanza? Answer:
[]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Jennie anasaidia katika ofisi ya mamake. Ana mrundo wa barua 60 zinazohitaji kutiliwa muhuri, na mrundo wa barua ambazo tayari zina muhuri. Anaweka muhuri kwenye thuluthi moja ya barua zinazohitaji muhuri. Ikiwa sasa kuna barua 30 katika mrundo wa barua zilizo na muhuri, barua ngapi zilikuwa katika mrundo huo kabla ya Jennie kuanza?\nGolden Answer: 10\nModel\'s Answer: Jennie kuanza kwa barua 60 zinazohitaji kutiliwa muhuri.\n Sasa kuna barua 30 katika mrundo wa barua zilizo na muhuri.\n Ikiwa sasa kuna barua 30, kuna 60 - 30 = 30 barua zinazohitaji kutiliwa muhuri.\n Jennie kuanza kwa barua 60, kuna 60 - 30 = 30 barua ambazo tayari zina muhuri.\n Ikiwa sasa kuna barua 30, kuna 30 - 30 = 0 barua ambazo tayari zina muhuri.\n Ikiwa sasa kuna barua 30, kuna 30 - 30 = 0 barua zinazohitaji kutiliwa muhuri.\n Ikiwa sasa kuna barua 30, kuna 60 - 30 = 30 barua zinazohitaji kutiliwa muhuri.\n Ikiwa sasa kuna barua 30, kuna 30 - 30 = 0 barua zinazohitaji kutiliwa muhuri.\n Ikiwa sasa kuna barua 30, kuna 30 - 30 = 0 barua zinazohitaji kutiliwa muhuri.\n Ikiwa sasa kuna barua 30, kuna 30 - 30 = 0 barua zinazohitaji kutiliwa muhuri.\n Ikiwa sasa kuna barua 30, kuna 30 - 30 = 0 barua zinazohitaji kutiliwa muhuri.\n Ikiwa sasa kuna barua 30, kuna 30 - 30 = 0 barua zinazohitaji kutiliwa muhuri.\n Ikiwa sasa kuna barua 30, kuna 30 - 30 = 0 barua zinazohitaji kutiliwa muhuri.\n Ikiwa sasa kuna barua 30, kuna 30 - 30 = 0 barua zinazohitaji kutiliwa muhuri.\n Ikiwa sasa kuna barua 30, kuna 30\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's answer is unclear and does not provide a correct solution to the problem. The expected golden answer is 10, and the model's answer does not conclude with this result. Instead, the model's reasoning is repetitive, incoherent, and does not correctly address the question about how many stamped letters were there before Jennie started. Thus, the model's answer does not match the golden answer.\n\nThe score: [[0]]"]}
0
0
[652]
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[' Jennie kuanza kwa barua 60 zinazohitaji kutiliwa muhuri.\n Sasa kuna barua 30 katika mrundo wa barua zilizo na muhuri.\n Ikiwa sasa kuna barua 30, kuna 60 - 30 = 30 barua zinazohitaji kutiliwa muhuri.\n Jennie kuanza kwa barua 60, kuna 60 - 30 = 30 barua ambazo tayari zina muhuri.\n Ikiwa sasa kuna barua 30, kuna 30 - 30 = 0 barua ambazo tayari zina muhuri.\n Ikiwa sasa kuna barua 30, kuna 30 - 30 = 0 barua zinazohitaji kutiliwa muhuri.\n Ikiwa sasa kuna barua 30, kuna 60 - 30 = 30 barua zinazohitaji kutiliwa muhuri.\n Ikiwa sasa kuna barua 30, kuna 30 - 30 = 0 barua zinazohitaji kutiliwa muhuri.\n Ikiwa sasa kuna barua 30, kuna 30 - 30 = 0 barua zinazohitaji kutiliwa muhuri.\n Ikiwa sasa kuna barua 30, kuna 30 - 30 = 0 barua zinazohitaji kutiliwa muhuri.\n Ikiwa sasa kuna barua 30, kuna 30 - 30 = 0 barua zinazohitaji kutiliwa muhuri.\n Ikiwa sasa kuna barua 30, kuna 30 - 30 = 0 barua zinazohitaji kutiliwa muhuri.\n Ikiwa sasa kuna barua 30, kuna 30 - 30 = 0 barua zinazohitaji kutiliwa muhuri.\n Ikiwa sasa kuna barua 30, kuna 30 - 30 = 0 barua zinazohitaji kutiliwa muhuri.\n Ikiwa sasa kuna barua 30, kuna 30']
{'question': 'Jennie anasaidia katika ofisi ya mamake. Ana mrundo wa barua 60 zinazohitaji kutiliwa muhuri, na mrundo wa barua ambazo tayari zina muhuri. Anaweka muhuri kwenye thuluthi moja ya barua zinazohitaji muhuri. Ikiwa sasa kuna barua 30 katika mrundo wa barua zilizo na muhuri, barua ngapi zilikuwa katika mrundo huo kabla ya Jennie kuanza?'}
[0]
['26']
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Question: Bibiye Jones alioka keki 5 za tufaha kwa ajili ya chamcha ya afisa wa kuzima moto. Alikata kila keki kwa vipande 8 na kupanga keki tano kwenye meza ya chakula cha kujipakulia ili wageni waweze kujipakulia. Mwishoni mwa jioni, baada ya wageni kuchukua na kula vipande vyao vya keki, kulikuwa na vipande 14 vya keki ambavyo vilikuwa vimesalia. Wageni walikula vipande vingapi? Answer:
Question: Bibiye Jones alioka keki 5 za tufaha kwa ajili ya chamcha ya afisa wa kuzima moto. Alikata kila keki kwa vipande 8 na kupanga keki tano kwenye meza ya chakula cha kujipakulia ili wageni waweze kujipakulia. Mwishoni mwa jioni, baada ya wageni kuchukua na kula vipande vyao vya keki, kulikuwa na vipande 14 vya keki ambavyo vilikuwa vimesalia. Wageni walikula vipande vingapi? Answer:
[]
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{'judge_score_gpt-4o': 1, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Bibiye Jones alioka keki 5 za tufaha kwa ajili ya chamcha ya afisa wa kuzima moto. Alikata kila keki kwa vipande 8 na kupanga keki tano kwenye meza ya chakula cha kujipakulia ili wageni waweze kujipakulia. Mwishoni mwa jioni, baada ya wageni kuchukua na kula vipande vyao vya keki, kulikuwa na vipande 14 vya keki ambavyo vilikuwa vimesalia. Wageni walikula vipande vingapi?\nGolden Answer: 26\nModel\'s Answer: Wageni kuchukua na kula 5 keki, kila keki kwa vipande 8, na kwenye meza ya chakula cha kujipakulia. \n Wageni kuchukua na kula 5 * 8 = 40 vipande keki. \n Mwishoni mwa jioni, baada ya wageni kuchukua na kula, kulikuwa na vipande 14 vya keki. \n Wageni kuchukua na kula 40 - 14 = 26 vipande keki. \n Wageni kuchukua na kula 26 vipande keki.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's answer involves the correct reasoning and calculations: starting from the total number of cake pieces (5 cakes each cut into 8 pieces) resulting in 5 * 8 = 40 pieces, and subtracting the 14 pieces that remained, leading to 40 - 14 = 26 pieces eaten by the guests. This matches the golden answer of 26.\n\nThe model and the groundtruth answer are the same. The score: [[1]]"]}
0
0
[635]
[]
[' Wageni kuchukua na kula 5 keki, kila keki kwa vipande 8, na kwenye meza ya chakula cha kujipakulia. \n Wageni kuchukua na kula 5 * 8 = 40 vipande keki. \n Mwishoni mwa jioni, baada ya wageni kuchukua na kula, kulikuwa na vipande 14 vya keki. \n Wageni kuchukua na kula 40 - 14 = 26 vipande keki. \n Wageni kuchukua na kula 26 vipande keki.']
{'question': 'Bibiye Jones alioka keki 5 za tufaha kwa ajili ya chamcha ya afisa wa kuzima moto. Alikata kila keki kwa vipande 8 na kupanga keki tano kwenye meza ya chakula cha kujipakulia ili wageni waweze kujipakulia. Mwishoni mwa jioni, baada ya wageni kuchukua na kula vipande vyao vya keki, kulikuwa na vipande 14 vya keki ambavyo vilikuwa vimesalia. Wageni walikula vipande vingapi?'}
[0]
['20000']
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Question: Kampuni hutumia $15000 kwenye matangazo kwa mwaka, na kisha kutumia thuluthi moja ya kiwango hicho kwenye matangazo ya mwaka mwingine. Jumla ya kiwango cha pesa ambazo kampuni hiyo ilitumia kufanya matangazo miaka hiyo miwili ni ngapi? Answer:
Question: Kampuni hutumia $15000 kwenye matangazo kwa mwaka, na kisha kutumia thuluthi moja ya kiwango hicho kwenye matangazo ya mwaka mwingine. Jumla ya kiwango cha pesa ambazo kampuni hiyo ilitumia kufanya matangazo miaka hiyo miwili ni ngapi? Answer:
[]
[0]
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{'judge_score_gpt-4o': 1, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Kampuni hutumia $15000 kwenye matangazo kwa mwaka, na kisha kutumia thuluthi moja ya kiwango hicho kwenye matangazo ya mwaka mwingine. Jumla ya kiwango cha pesa ambazo kampuni hiyo ilitumia kufanya matangazo miaka hiyo miwili ni ngapi?\nGolden Answer: 20000\nModel\'s Answer: Kampuni hutumia $15000 kwenye matangazo kwa mwaka.\n Kisha, kwenye matangazo ya mwaka mwingine, kisha kutumia thuluthi moja ya kiwango hicho, $15000 / 3 = $5000.\n Jumla ya kiwango cha pesa ambazo kampuni hiyo ilitumia kufanya matangazo miaka hiyo miwili ni $15000 + $5000 = $20000.\n Njikwa, jumla ya kiwango cha pesa ambazo kampuni hiyo ilitumia kufanya matangazo miaka hiyo miwili ni $20000.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's answer provides a clear step-by-step calculation, showing that the company initially spends $15000 and then an additional one third of this amount ($5000) the following year. The total for both years is calculated as $15000 + $5000 = $20000, which matches the golden answer exactly. Thus, the model's answer is correct.\n\nThe correctness score: [[1]]"]}
0
0
[689]
[]
[' Kampuni hutumia $15000 kwenye matangazo kwa mwaka.\n Kisha, kwenye matangazo ya mwaka mwingine, kisha kutumia thuluthi moja ya kiwango hicho, $15000 / 3 = $5000.\n Jumla ya kiwango cha pesa ambazo kampuni hiyo ilitumia kufanya matangazo miaka hiyo miwili ni $15000 + $5000 = $20000.\n Njikwa, jumla ya kiwango cha pesa ambazo kampuni hiyo ilitumia kufanya matangazo miaka hiyo miwili ni $20000.']
{'question': 'Kampuni hutumia $15000 kwenye matangazo kwa mwaka, na kisha kutumia thuluthi moja ya kiwango hicho kwenye matangazo ya mwaka mwingine. Jumla ya kiwango cha pesa ambazo kampuni hiyo ilitumia kufanya matangazo miaka hiyo miwili ni ngapi?'}
[0]
['16']
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Question: Mashua ya Julia yalianza kuvuja wakati alikuwa kwenye ziwa. Mashua hayo yalikuwa yanaingiza lita mbili za maji kwa kila futi kumi alivuta makasi akirejea ufuo. Ilimchukua sekunde kumi na sita kupiga makasia ya futi ishirini. Ufuo ulikuwa umbali wa sekunde 64. Mashua hayo yalikuwa yameingiza maji kiasi gani wakati ambapo Julia alifika kwenye ufuo? Answer:
Question: Mashua ya Julia yalianza kuvuja wakati alikuwa kwenye ziwa. Mashua hayo yalikuwa yanaingiza lita mbili za maji kwa kila futi kumi alivuta makasi akirejea ufuo. Ilimchukua sekunde kumi na sita kupiga makasia ya futi ishirini. Ufuo ulikuwa umbali wa sekunde 64. Mashua hayo yalikuwa yameingiza maji kiasi gani wakati ambapo Julia alifika kwenye ufuo? Answer:
[]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Mashua ya Julia yalianza kuvuja wakati alikuwa kwenye ziwa. Mashua hayo yalikuwa yanaingiza lita mbili za maji kwa kila futi kumi alivuta makasi akirejea ufuo. Ilimchukua sekunde kumi na sita kupiga makasia ya futi ishirini. Ufuo ulikuwa umbali wa sekunde 64. Mashua hayo yalikuwa yameingiza maji kiasi gani wakati ambapo Julia alifika kwenye ufuo?\nGolden Answer: 16\nModel\'s Answer: Mashua hayo yalikuwa yameingiza lita mbili za maji kwa kila futi kumi alivuta makasi akirejea ufuo.\n Ilimchukua sekunde kumi na sita kupiga makasia ya futi ishirini.\n Ufuo ulikuwa umbali wa sekunde 64.\n Kila futi kumi alivuta makasi akirejea ufuo yameingiza lita 2 * 64 = 128 za maji.\n Kila futi kumi alivuta makasi akirejea ufuo yameingiza lita 2 * 128 = 256 za maji.\n Julia alifika kwenye ufuo wakati alikuwa kwenye ziwa, wakati alikuwa kumi na sita.\n Kila futi kumi na sita alivuta makasi akirejea ufuo yameingiza lita 2 * 256 = 512 za maji.\n Kila futi kumi na sita alivuta makasi akirejea ufuo yameingiza lita 2 * 512 = 1024 za maji.\n Kila futi kumi alivuta makasi akirejea ufuo yameingiza lita 2 * 1024 = 2048 za maji.\n Kila futi kumi alivuta makasi akirejea ufuo yameingiza lita 2 * 2048 = 4096 za maji.\n Kila futi kumi alivuta makasi akirejea ufuo yameingiza lita 2 * 4096 = 8192 za maji.\n Kila futi kumi alivuta makasi akirejea ufuo yameingiza lita 2 * 8192 = 16384 za maji.\n Kila futi kumi alivuta makasi akirejea ufuo yameingiza lita 2 * 16384 = 32768 za maji.\n Kila futi kumi alivuta makasi akirejea ufuo yameingiza lita 2 * 32768 = 65536 za maji.\n Kila futi kumi alivuta makasi akirejea ufuo yameing\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The golden answer indicates that the boat had taken on 16 liters of water by the time Julia reached the shore. The model's answer contains a series of incorrect calculations leading to an astronomically large and incorrect amount of water taken on. The model doesn't follow the logical process that 64 seconds involve covering 64/16 = 4 sets of 20 feet, and since 2 liters are taken in every 10 feet, 8 liters are taken in per 20 feet, yielding a total of 32 liters. \n\nEven though there is an error in the estimation of distance in the golden process or the data provided (leading to 16 in the golden answer expected, rather 32 if logically aggregated per data given without oversight/error), in both cases, the model is astronomically incorrect. Hence, the model's answer doesn't match the golden answer.\n\nThe correctness score: [[0]]."]}
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[' Mashua hayo yalikuwa yameingiza lita mbili za maji kwa kila futi kumi alivuta makasi akirejea ufuo.\n Ilimchukua sekunde kumi na sita kupiga makasia ya futi ishirini.\n Ufuo ulikuwa umbali wa sekunde 64.\n Kila futi kumi alivuta makasi akirejea ufuo yameingiza lita 2 * 64 = 128 za maji.\n Kila futi kumi alivuta makasi akirejea ufuo yameingiza lita 2 * 128 = 256 za maji.\n Julia alifika kwenye ufuo wakati alikuwa kwenye ziwa, wakati alikuwa kumi na sita.\n Kila futi kumi na sita alivuta makasi akirejea ufuo yameingiza lita 2 * 256 = 512 za maji.\n Kila futi kumi na sita alivuta makasi akirejea ufuo yameingiza lita 2 * 512 = 1024 za maji.\n Kila futi kumi alivuta makasi akirejea ufuo yameingiza lita 2 * 1024 = 2048 za maji.\n Kila futi kumi alivuta makasi akirejea ufuo yameingiza lita 2 * 2048 = 4096 za maji.\n Kila futi kumi alivuta makasi akirejea ufuo yameingiza lita 2 * 4096 = 8192 za maji.\n Kila futi kumi alivuta makasi akirejea ufuo yameingiza lita 2 * 8192 = 16384 za maji.\n Kila futi kumi alivuta makasi akirejea ufuo yameingiza lita 2 * 16384 = 32768 za maji.\n Kila futi kumi alivuta makasi akirejea ufuo yameingiza lita 2 * 32768 = 65536 za maji.\n Kila futi kumi alivuta makasi akirejea ufuo yameing']
{'question': 'Mashua ya Julia yalianza kuvuja wakati alikuwa kwenye ziwa. Mashua hayo yalikuwa yanaingiza lita mbili za maji kwa kila futi kumi alivuta makasi akirejea ufuo. Ilimchukua sekunde kumi na sita kupiga makasia ya futi ishirini. Ufuo ulikuwa umbali wa sekunde 64. Mashua hayo yalikuwa yameingiza maji kiasi gani wakati ambapo Julia alifika kwenye ufuo?'}
[0]
['240']
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Question: Miguel hutumia pedi 2 za karatasi kwa wiki katika uchoraji wake. Ikiwa kuna kurasa 30 za karatasi kwenye pedi moja ya karatasi, huwa anatumia kurasa ngapi za karatasi kila mwezi? Answer:
Question: Miguel hutumia pedi 2 za karatasi kwa wiki katika uchoraji wake. Ikiwa kuna kurasa 30 za karatasi kwenye pedi moja ya karatasi, huwa anatumia kurasa ngapi za karatasi kila mwezi? Answer:
[]
[0]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Miguel hutumia pedi 2 za karatasi kwa wiki katika uchoraji wake. Ikiwa kuna kurasa 30 za karatasi kwenye pedi moja ya karatasi, huwa anatumia kurasa ngapi za karatasi kila mwezi?\nGolden Answer: 240\nModel\'s Answer: Miguel hutumia pedi 2 za karatasi kwa wiki. \n Ikiwa kuna kurasa 30 za karatasi kwenye pedi moja ya karatasi, \n 2 * 30 = 60 kurasa za karatasi kwenye 2 pedi.\n Kuna 4 * 7 = 28 wiki kwenye mwezi.\n 60 * 28 = 1680 kurasa za karatasi kwenye mwezi.\n Miguel anatumia 1680 kurasa za karatasi kila mwezi.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's answer indicates that Miguel uses 1680 pages of paper each month, calculated as 60 pages per week (2 pads with 30 pages each) multiplied by a miscalculated 28 weeks in a month. However, the correct procedure should take into account that a month typically has about 4 weeks, not 28 weeks. Therefore, the model's answer does not match the golden answer of 240 pages per month, where the correct calculation should have been 60 pages per week * 4 weeks = 240 pages per month. The model's answer is incorrect.\n\nThe correctness score: [[0]]."]}
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[710]
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[' Miguel hutumia pedi 2 za karatasi kwa wiki. \n Ikiwa kuna kurasa 30 za karatasi kwenye pedi moja ya karatasi, \n 2 * 30 = 60 kurasa za karatasi kwenye 2 pedi.\n Kuna 4 * 7 = 28 wiki kwenye mwezi.\n 60 * 28 = 1680 kurasa za karatasi kwenye mwezi.\n Miguel anatumia 1680 kurasa za karatasi kila mwezi.']
{'question': 'Miguel hutumia pedi 2 za karatasi kwa wiki katika uchoraji wake. Ikiwa kuna kurasa 30 za karatasi kwenye pedi moja ya karatasi, huwa anatumia kurasa ngapi za karatasi kila mwezi?'}
[0]
['48']
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Question: Dave alinunua kifurushi kikubwa cha chipsi na akala kumi na nne kabla ya shakwe aliye na njaa kuiba kifurushi hicho kutoka kwa mkono wake. Shakwe huyo alipotua, aligooka nusu ya chipsi ambazo Dave alikuwa amekula. Kisha njiwa watatu wakamfurusha kutoka kwa chakula hicho, na kila njiwa akala chipsi tatu. Baadaye, rakuni aliiba theluthi mbili ya chipsi zilizosalia. Siafu wakabeba chipsi ya mwisho, na kuacha tano nyuma. Kulikuwa na chipsi ngapi katika kifurushi hicho wakati Dave alikinunua? Answer:
Question: Dave alinunua kifurushi kikubwa cha chipsi na akala kumi na nne kabla ya shakwe aliye na njaa kuiba kifurushi hicho kutoka kwa mkono wake. Shakwe huyo alipotua, aligooka nusu ya chipsi ambazo Dave alikuwa amekula. Kisha njiwa watatu wakamfurusha kutoka kwa chakula hicho, na kila njiwa akala chipsi tatu. Baadaye, rakuni aliiba theluthi mbili ya chipsi zilizosalia. Siafu wakabeba chipsi ya mwisho, na kuacha tano nyuma. Kulikuwa na chipsi ngapi katika kifurushi hicho wakati Dave alikinunua? Answer:
[]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Dave alinunua kifurushi kikubwa cha chipsi na akala kumi na nne kabla ya shakwe aliye na njaa kuiba kifurushi hicho kutoka kwa mkono wake. Shakwe huyo alipotua, aligooka nusu ya chipsi ambazo Dave alikuwa amekula. Kisha njiwa watatu wakamfurusha kutoka kwa chakula hicho, na kila njiwa akala chipsi tatu. Baadaye, rakuni aliiba theluthi mbili ya chipsi zilizosalia. Siafu wakabeba chipsi ya mwisho, na kuacha tano nyuma. Kulikuwa na chipsi ngapi katika kifurushi hicho wakati Dave alikinunua?\nGolden Answer: 48\nModel\'s Answer: Dave alinunua kifurushi kikubwa cha chipsi na akala kumi na nne kabla ya shakwe aliye na njaa kuiba kifurushi hicho. \n Kifurushi hicho wakati Dave alikinunua, akala kumi na nne, kuma 4 * 10 = 40 chipsi.\n Shakwe huyo alipotua, aligooka nusu ya chipsi, kuma 40 / 2 = 20 chipsi.\n Njiwa watatu wakamfurusha, kila njiwa akala chipsi tatu, kuma 3 * 3 = 9 chipsi.\n Rakuni aliiba theluthi mbili ya chipsi zilizosalia, kuma 20 / 3 = 6.67 chipsi. \n Siafu wakabeba chipsi ya mwisho, na kuacha tano nyuma, kuma 6.67 - 1 = 5.67 chipsi.\n Kifurushi hicho wakati Dave alikinunua, akala 40 + 20 + 9 + 6.67 + 5.67 = 60 + 9 + 6.67 + 5.67 = 69 + 6.67 + 5.67 = 75.67 + 5.67 = 81.34 chipsi.\n Kifurushi hicho wakati Dave alikinunua, akala 81.34 chipsi.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's answer attempts to calculate the total number of chips originally in the package but arrives at a different conclusion (81.34) than the golden answer (48). The model's answer introduces values and calculations not derived logically from the problem's narrative: it states erroneous operations and resulting chip counts. For example, the calculated intermediate steps—such as the division and the addition at the end—do not logically follow from operations indicated in the problem. Specifically, calculations concerning the removal of chips by animals and the final chip count do not match the expected logical sequence given in the problem, leading to a final total that does not match the golden answer. Therefore, the model's answer is incorrect.\n\nThe correctness score: [[0]]"]}
0
0
[591]
[]
[' Dave alinunua kifurushi kikubwa cha chipsi na akala kumi na nne kabla ya shakwe aliye na njaa kuiba kifurushi hicho. \n Kifurushi hicho wakati Dave alikinunua, akala kumi na nne, kuma 4 * 10 = 40 chipsi.\n Shakwe huyo alipotua, aligooka nusu ya chipsi, kuma 40 / 2 = 20 chipsi.\n Njiwa watatu wakamfurusha, kila njiwa akala chipsi tatu, kuma 3 * 3 = 9 chipsi.\n Rakuni aliiba theluthi mbili ya chipsi zilizosalia, kuma 20 / 3 = 6.67 chipsi. \n Siafu wakabeba chipsi ya mwisho, na kuacha tano nyuma, kuma 6.67 - 1 = 5.67 chipsi.\n Kifurushi hicho wakati Dave alikinunua, akala 40 + 20 + 9 + 6.67 + 5.67 = 60 + 9 + 6.67 + 5.67 = 69 + 6.67 + 5.67 = 75.67 + 5.67 = 81.34 chipsi.\n Kifurushi hicho wakati Dave alikinunua, akala 81.34 chipsi.']
{'question': 'Dave alinunua kifurushi kikubwa cha chipsi na akala kumi na nne kabla ya shakwe aliye na njaa kuiba kifurushi hicho kutoka kwa mkono wake. Shakwe huyo alipotua, aligooka nusu ya chipsi ambazo Dave alikuwa amekula. Kisha njiwa watatu wakamfurusha kutoka kwa chakula hicho, na kila njiwa akala chipsi tatu. Baadaye, rakuni aliiba theluthi mbili ya chipsi zilizosalia. Siafu wakabeba chipsi ya mwisho, na kuacha tano nyuma. Kulikuwa na chipsi ngapi katika kifurushi hicho wakati Dave alikinunua?'}
[0]
['30']
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Question: Nissa anaajiri wafanyakazi 60 wa kimsimu kucheza mchezo wa elvu katika kijiji cha Santa cha idara ya duka lake. Theluthi moja yao wanaondoka baada ya watoto kuwatapikia, kisha 10 kati ya waliosalia wanaondoka baada ya watoto kuwapiga teke. Wangapi wamesalia? Answer:
Question: Nissa anaajiri wafanyakazi 60 wa kimsimu kucheza mchezo wa elvu katika kijiji cha Santa cha idara ya duka lake. Theluthi moja yao wanaondoka baada ya watoto kuwatapikia, kisha 10 kati ya waliosalia wanaondoka baada ya watoto kuwapiga teke. Wangapi wamesalia? Answer:
[]
[0]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Nissa anaajiri wafanyakazi 60 wa kimsimu kucheza mchezo wa elvu katika kijiji cha Santa cha idara ya duka lake. Theluthi moja yao wanaondoka baada ya watoto kuwatapikia, kisha 10 kati ya waliosalia wanaondoka baada ya watoto kuwapiga teke. Wangapi wamesalia?\nGolden Answer: 30\nModel\'s Answer: Nissa anaajiri wafanyakazi 60 wa kimsimu kucheza mchezo wa elvu katika kijiji cha Santa cha idara ya duka lake.\n Theluthi moja yao wanaondoka baada ya watoto kuwatapikia, kisha 10 kati ya waliosalia wanaondoka baada ya watoto kuwapiga teke.\n Theluthi moja yao wanaondoka baada ya watoto kuwatapikia, kisha 10 kati ya waliosalia wanaondoka baada ya watoto kuwapiga teke.\n Theluthi moja yao wanaondoka baada ya watoto kuwatapikia, kisha 10 kati ya waliosalia wanaondoka baada ya watoto kuwapiga teke.\n Theluthi moja yao wanaondoka baada ya watoto kuwatapikia, kisha 10 kati ya waliosalia wanaondoka baada ya watoto kuwapiga teke.\n Theluthi moja yao wanaondoka baada ya watoto kuwatapikia, kisha 10 kati ya waliosalia wanaondoka baada ya watoto kuwapiga teke.\n Theluthi moja yao wanaondoka baada ya watoto kuwatapikia, kisha 10 kati ya waliosalia wanaondoka baada ya watoto kuwapiga teke.\n Theluthi moja yao wanaondoka baada ya watoto kuwatapikia, kisha 10 kati ya waliosalia wanaondoka baada ya watoto kuwapiga teke.\n Theluthi moja yao wanaondoka baada ya watoto kuwatapikia, kisha 10 kati ya waliosalia wanaondoka baada ya watoto kuwapiga teke.\n Theluthi moja yao wanaondoka baada ya watoto kuwatapikia, kisha 10 kati ya waliosalia wanaondoka baada ya watoto kuwapiga teke.\n Theluthi moja yao wanaondoka baada ya watoto kuwatapikia, kisha 10 kati ya walios\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's answer is repetitive and does not explicitly compute the remaining number of workers, nor does it conclude with a numerical answer. The golden answer is 30. To arrive at this answer, one would calculate that one-third of 60 workers initially leave, which is 20, leaving 40 workers. Then, 10 more leave, leaving a total of 30 workers. The model's answer does not provide this calculation or the final count. Therefore, it does not match the golden answer. The correctness score: [[0]]."]}
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[' Nissa anaajiri wafanyakazi 60 wa kimsimu kucheza mchezo wa elvu katika kijiji cha Santa cha idara ya duka lake.\n Theluthi moja yao wanaondoka baada ya watoto kuwatapikia, kisha 10 kati ya waliosalia wanaondoka baada ya watoto kuwapiga teke.\n Theluthi moja yao wanaondoka baada ya watoto kuwatapikia, kisha 10 kati ya waliosalia wanaondoka baada ya watoto kuwapiga teke.\n Theluthi moja yao wanaondoka baada ya watoto kuwatapikia, kisha 10 kati ya waliosalia wanaondoka baada ya watoto kuwapiga teke.\n Theluthi moja yao wanaondoka baada ya watoto kuwatapikia, kisha 10 kati ya waliosalia wanaondoka baada ya watoto kuwapiga teke.\n Theluthi moja yao wanaondoka baada ya watoto kuwatapikia, kisha 10 kati ya waliosalia wanaondoka baada ya watoto kuwapiga teke.\n Theluthi moja yao wanaondoka baada ya watoto kuwatapikia, kisha 10 kati ya waliosalia wanaondoka baada ya watoto kuwapiga teke.\n Theluthi moja yao wanaondoka baada ya watoto kuwatapikia, kisha 10 kati ya waliosalia wanaondoka baada ya watoto kuwapiga teke.\n Theluthi moja yao wanaondoka baada ya watoto kuwatapikia, kisha 10 kati ya waliosalia wanaondoka baada ya watoto kuwapiga teke.\n Theluthi moja yao wanaondoka baada ya watoto kuwatapikia, kisha 10 kati ya waliosalia wanaondoka baada ya watoto kuwapiga teke.\n Theluthi moja yao wanaondoka baada ya watoto kuwatapikia, kisha 10 kati ya walios']
{'question': 'Nissa anaajiri wafanyakazi 60 wa kimsimu kucheza mchezo wa elvu katika kijiji cha Santa cha idara ya duka lake. Theluthi moja yao wanaondoka baada ya watoto kuwatapikia, kisha 10 kati ya waliosalia wanaondoka baada ya watoto kuwapiga teke. Wangapi wamesalia?'}
[0]
['20']
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Question: Kila siku, Wendi hulisha kila mmoja kati ya kuku wake vikombe vitatu vya chakula mseto cha kuku, kilicho na mbegu, wadudu na mboga ili kusaidia kudumisha afya yao nzuri. Yeye hupatia kuku hao chakula chao katika milo mitatu tofauti. Asubuhi, huwapa kuku wake vikombe 15 vya chakula. Mchana, huwapa kuku wake vikombe vingine 25 vya chakula. Anahitaji kuwapa kuku wake vikombe vingapi vya chakula katika mlo wa mwisho wa siku iwapo idadi ya kuku wa Wendi ni kuku 20? Answer:
Question: Kila siku, Wendi hulisha kila mmoja kati ya kuku wake vikombe vitatu vya chakula mseto cha kuku, kilicho na mbegu, wadudu na mboga ili kusaidia kudumisha afya yao nzuri. Yeye hupatia kuku hao chakula chao katika milo mitatu tofauti. Asubuhi, huwapa kuku wake vikombe 15 vya chakula. Mchana, huwapa kuku wake vikombe vingine 25 vya chakula. Anahitaji kuwapa kuku wake vikombe vingapi vya chakula katika mlo wa mwisho wa siku iwapo idadi ya kuku wa Wendi ni kuku 20? Answer:
[]
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{'judge_score_gpt-4o': 1, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Kila siku, Wendi hulisha kila mmoja kati ya kuku wake vikombe vitatu vya chakula mseto cha kuku, kilicho na mbegu, wadudu na mboga ili kusaidia kudumisha afya yao nzuri. Yeye hupatia kuku hao chakula chao katika milo mitatu tofauti. Asubuhi, huwapa kuku wake vikombe 15 vya chakula. Mchana, huwapa kuku wake vikombe vingine 25 vya chakula. Anahitaji kuwapa kuku wake vikombe vingapi vya chakula katika mlo wa mwisho wa siku iwapo idadi ya kuku wa Wendi ni kuku 20?\nGolden Answer: 20\nModel\'s Answer: Wendi hulisha kila mmoja kati ya kuku wake vikombe 3 vya chakula mseto cha kuku, kilicho na mbegu, wadudu na mboga.\n Yeye hupatia kuku hao chakula chao katika milo mitatu tofauti.\n Asubuhi, huwapa kuku wake vikombe 15 vya chakula.\n Mchana, huwapa kuku wake vikombe 25 vya chakula.\n Wendi hulisha kuku 20.\n Kila mmoja kati ya kuku wake vikombe 3 vya chakula mseto cha kuku, kilicho na mbegu, wadudu na mboga.\n Kila mmoja kati ya kuku wake vikombe 3 * 20 = 60 vya chakula.\n Wendi hulisha kila mmoja kati ya kuku wake vikombe 15 + 25 = 40 vya chakula.\n Wendi hulisha kila mmoja kati ya kuku wake vikombe 60 - 40 = 20 vya chakula.\n Wendi hulisha kila mmoja kati ya kuku wake vikombe 20 vya chakula.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's answer involves calculations to determine the number of cups of food Wendi needs to feed her chickens in the final meal. The model correctly adds the morning (15 cups) and afternoon (25 cups) feedings to get a total of 40 cups already provided. It then calculates the total required feeding for 20 chickens, who each need 3 cups of food, resulting in 60 cups needed in total. By subtracting the already provided 40 cups from the required 60 cups, the model correctly finds that 20 more cups are needed for the last feeding. The model's answer matches the golden answer of 20 cups.\n\nThe model's answer and the golden answer are the same. The score: [[1]]"]}
0
0
[586]
[]
[' Wendi hulisha kila mmoja kati ya kuku wake vikombe 3 vya chakula mseto cha kuku, kilicho na mbegu, wadudu na mboga.\n Yeye hupatia kuku hao chakula chao katika milo mitatu tofauti.\n Asubuhi, huwapa kuku wake vikombe 15 vya chakula.\n Mchana, huwapa kuku wake vikombe 25 vya chakula.\n Wendi hulisha kuku 20.\n Kila mmoja kati ya kuku wake vikombe 3 vya chakula mseto cha kuku, kilicho na mbegu, wadudu na mboga.\n Kila mmoja kati ya kuku wake vikombe 3 * 20 = 60 vya chakula.\n Wendi hulisha kila mmoja kati ya kuku wake vikombe 15 + 25 = 40 vya chakula.\n Wendi hulisha kila mmoja kati ya kuku wake vikombe 60 - 40 = 20 vya chakula.\n Wendi hulisha kila mmoja kati ya kuku wake vikombe 20 vya chakula.']
{'question': 'Kila siku, Wendi hulisha kila mmoja kati ya kuku wake vikombe vitatu vya chakula mseto cha kuku, kilicho na mbegu, wadudu na mboga ili kusaidia kudumisha afya yao nzuri. Yeye hupatia kuku hao chakula chao katika milo mitatu tofauti. Asubuhi, huwapa kuku wake vikombe 15 vya chakula. Mchana, huwapa kuku wake vikombe vingine 25 vya chakula. Anahitaji kuwapa kuku wake vikombe vingapi vya chakula katika mlo wa mwisho wa siku iwapo idadi ya kuku wa Wendi ni kuku 20?'}
[0]
['15']
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Question: Mkoba wa kitabu wa Uriah unakuwa mzito sana kwake. Anahitaji kuondoa pauni 15 kwenye mkoba huo. Vitabu vyake vya futuhi vina uzani wa pauni 1/4 kila kimoja na wanasesere wake wana uzani wa pauni 1/2 kila mmoja. Akiondoa vitabu 30 vya futuhi, anahitaji kuondoa wanasesere wangapi? Answer:
Question: Mkoba wa kitabu wa Uriah unakuwa mzito sana kwake. Anahitaji kuondoa pauni 15 kwenye mkoba huo. Vitabu vyake vya futuhi vina uzani wa pauni 1/4 kila kimoja na wanasesere wake wana uzani wa pauni 1/2 kila mmoja. Akiondoa vitabu 30 vya futuhi, anahitaji kuondoa wanasesere wangapi? Answer:
[]
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{'judge_score_gpt-4o': 1, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Mkoba wa kitabu wa Uriah unakuwa mzito sana kwake. Anahitaji kuondoa pauni 15 kwenye mkoba huo. Vitabu vyake vya futuhi vina uzani wa pauni 1/4 kila kimoja na wanasesere wake wana uzani wa pauni 1/2 kila mmoja. Akiondoa vitabu 30 vya futuhi, anahitaji kuondoa wanasesere wangapi?\nGolden Answer: 15\nModel\'s Answer: Akiondoa vitabu 30 vya futuhi, anahitaji kuondoa 30 * 1/4 = 30/4 = 7.5 pauni.\n Anahitaji kuondoa pauni 15 kwenye mkoba huo.\n Kuondoa 7.5 pauni na 15 pauni, anahitaji kuondoa 15 - 7.5 = 7.5 pauni.\n Vitabu 30 vya futuhi wana uzani wa pauni 1/2 kila mmoja.\n Kuondoa 7.5 pauni, anahitaji kuondoa 7.5 / 0.5 = 15 mmoja.\n Anahitaji kuondoa 15 mmoja, anahitaji kuondoa 15 * 1/2 = 15/2 = 7.5 wanasesere.\n Kuondoa 7.5 wanasesere, anahitaji kuondoa 15 - 7.5 = 7.5 wanasesere.\n Anahitaji kuondoa 7.5 wanasesere, anahitaji kuondoa 7.5 / 0.5 = 15 wanasesere.\n Kuondoa 15 wanasesere, anahitaji kuondoa 15 * 1/2 = 15/2 = 7.5 wanasesere.\n Kuondoa 7.5 wanasesere, anahitaji kuondoa 15 - 7.5 = 7.5 wanasesere.\n Anahitaji kuondoa 7.5 wanasesere, anahitaji kuondoa 7.5 / 0.5 = 15 wanasesere.\n Kuondoa 15 wanasesere, anahitaji kuondoa 15 * 1/2 = 15/2 = 7.5 wanasesere.\n Kuondoa 7.5 wanasesere, anahitaji kuondoa 15 - 7.5 = 7.5 wanasesere.\n Anahitaji kuondoa 7.5 wanasesere, anahitaji kuondoa 7.5 / 0.5 = 15 wanasesere.\n Kuondoa 15 wanasesere,\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's answer ultimately concludes that Uriah needs to remove 15 wanasesere (dolls), which is consistent with the golden answer, 15. Despite the verbose reasoning process and the presence of seemingly repetitive calculations, the final answer provided by the model matches the golden answer. Therefore, the model's answer is considered correct.\n\nThe score: [[1]]"]}
0
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[664]
[]
[' Akiondoa vitabu 30 vya futuhi, anahitaji kuondoa 30 * 1/4 = 30/4 = 7.5 pauni.\n Anahitaji kuondoa pauni 15 kwenye mkoba huo.\n Kuondoa 7.5 pauni na 15 pauni, anahitaji kuondoa 15 - 7.5 = 7.5 pauni.\n Vitabu 30 vya futuhi wana uzani wa pauni 1/2 kila mmoja.\n Kuondoa 7.5 pauni, anahitaji kuondoa 7.5 / 0.5 = 15 mmoja.\n Anahitaji kuondoa 15 mmoja, anahitaji kuondoa 15 * 1/2 = 15/2 = 7.5 wanasesere.\n Kuondoa 7.5 wanasesere, anahitaji kuondoa 15 - 7.5 = 7.5 wanasesere.\n Anahitaji kuondoa 7.5 wanasesere, anahitaji kuondoa 7.5 / 0.5 = 15 wanasesere.\n Kuondoa 15 wanasesere, anahitaji kuondoa 15 * 1/2 = 15/2 = 7.5 wanasesere.\n Kuondoa 7.5 wanasesere, anahitaji kuondoa 15 - 7.5 = 7.5 wanasesere.\n Anahitaji kuondoa 7.5 wanasesere, anahitaji kuondoa 7.5 / 0.5 = 15 wanasesere.\n Kuondoa 15 wanasesere, anahitaji kuondoa 15 * 1/2 = 15/2 = 7.5 wanasesere.\n Kuondoa 7.5 wanasesere, anahitaji kuondoa 15 - 7.5 = 7.5 wanasesere.\n Anahitaji kuondoa 7.5 wanasesere, anahitaji kuondoa 7.5 / 0.5 = 15 wanasesere.\n Kuondoa 15 wanasesere,']
{'question': 'Mkoba wa kitabu wa Uriah unakuwa mzito sana kwake. Anahitaji kuondoa pauni 15 kwenye mkoba huo. Vitabu vyake vya futuhi vina uzani wa pauni 1/4 kila kimoja na wanasesere wake wana uzani wa pauni 1/2 kila mmoja. Akiondoa vitabu 30 vya futuhi, anahitaji kuondoa wanasesere wangapi?'}
[0]
['6']
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Question: Dolly ana vitabu viwili. Pandora ana kimoja. Ikiwa Dolly na Pandora husoma vitabu vya mwenzao pamoja na vyao, wote wawili watakuwa wamesoma vitabu vingapi mwishoni? Answer:
Question: Dolly ana vitabu viwili. Pandora ana kimoja. Ikiwa Dolly na Pandora husoma vitabu vya mwenzao pamoja na vyao, wote wawili watakuwa wamesoma vitabu vingapi mwishoni? Answer:
[]
[0]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Dolly ana vitabu viwili. Pandora ana kimoja. Ikiwa Dolly na Pandora husoma vitabu vya mwenzao pamoja na vyao, wote wawili watakuwa wamesoma vitabu vingapi mwishoni?\nGolden Answer: 6\nModel\'s Answer: Dolly ana vitabu 2.\n Pandora ana kimoja, kimoja na 1/2 vitabu.\n Ikiwa Dolly na Pandora husoma vitabu pamoja, wote wawili watakuwa wamesoma 2 + 1/2 = 2 + 0.5 = 2.5 vitabu.\n Ikiwa Dolly na Pandora husoma vitabu vingapi, wote wawili watakuwa wamesoma 2 + 1 = 3 vitabu.\n Ikiwa Dolly na Pandora husoma vitabu pamoja na vingapi, wote wawili watakuwa wamesoma 2.5 + 3 = 5.5 vitabu.\n Ikiwa Dolly na Pandora husoma vitabu pamoja na vingapi, wote wawili watakuwa wamesoma 5.5 vitabu.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The question states that Dolly has two books and Pandora has one book. The question asks how many books both of them will have read if they read each other's books along with their own. Therefore, the total number of books they have read would be 2 (Dolly's) + 1 (Pandora's) + 2 (Dolly reads all) + 1 (Pandora reads all) = 6.\n\nThe golden answer provided is 6, which is correct based on the problem's logic. However, the model's answer discusses different scenarios, with none of the totals reaching 6; it erroneously computes various numbers which do not relate directly to the problem at hand.\n\nThus, the model's answer does not align with the golden answer.\n\nThe correctness score: [[0]]."]}
0
0
[714]
[]
[' Dolly ana vitabu 2.\n Pandora ana kimoja, kimoja na 1/2 vitabu.\n Ikiwa Dolly na Pandora husoma vitabu pamoja, wote wawili watakuwa wamesoma 2 + 1/2 = 2 + 0.5 = 2.5 vitabu.\n Ikiwa Dolly na Pandora husoma vitabu vingapi, wote wawili watakuwa wamesoma 2 + 1 = 3 vitabu.\n Ikiwa Dolly na Pandora husoma vitabu pamoja na vingapi, wote wawili watakuwa wamesoma 2.5 + 3 = 5.5 vitabu.\n Ikiwa Dolly na Pandora husoma vitabu pamoja na vingapi, wote wawili watakuwa wamesoma 5.5 vitabu.']
{'question': 'Dolly ana vitabu viwili. Pandora ana kimoja. Ikiwa Dolly na Pandora husoma vitabu vya mwenzao pamoja na vyao, wote wawili watakuwa wamesoma vitabu vingapi mwishoni?'}
[0]
['255']
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Question: Shiela alinunua simu tano za mkononi kwa $150 kwa kila moja kwa malipo ya polepole ya miezi 3. Riba ya 2% itatozwa kwa kila simu. Sheila atalipa pesa ngapi kila mwezi kwa miezi 3? Answer:
Question: Shiela alinunua simu tano za mkononi kwa $150 kwa kila moja kwa malipo ya polepole ya miezi 3. Riba ya 2% itatozwa kwa kila simu. Sheila atalipa pesa ngapi kila mwezi kwa miezi 3? Answer:
[]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Shiela alinunua simu tano za mkononi kwa $150 kwa kila moja kwa malipo ya polepole ya miezi 3. Riba ya 2% itatozwa kwa kila simu. Sheila atalipa pesa ngapi kila mwezi kwa miezi 3?\nGolden Answer: 255\nModel\'s Answer: Kila simu tano za mkononi alinunua kwa $150.\n Riba ya 2% itatozwa kwa kila simu.\n Riba kwa kila simu tano za mkononi alinunua kwa $150 * 2 / 100 = 300 / 100 = $3.\n Kila mwezi, Sheila atalipa $150 + $3 = $153.\n Kwa miezi 3, Sheila atalipa $153 * 3 = $459.\n Sheila atalipa 459 dollars kila mwezi kwa miezi 3.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The golden answer specifies that Sheila should pay $255 each month for 3 months. The model incorrectly calculates the total payment by first calculating a 2% interest on $150, resulting in $3 per phone for a single month. It then adds this interest to the original price of the phone, which is an incorrect calculation of the monthly payment. Instead, the correct process would calculate the total price of each phone plus interest (totaling $153 per phone) and then divide by 3 to determine the monthly payment amount spread evenly over the three months. The model's final answer concludes that Sheila pays $459 per month, which is incorrect and much higher than the golden answer. \n\nTherefore, the model's answer and the golden answer do not match.\n\nScore: [[0]]"]}
0
0
[702]
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[' Kila simu tano za mkononi alinunua kwa $150.\n Riba ya 2% itatozwa kwa kila simu.\n Riba kwa kila simu tano za mkononi alinunua kwa $150 * 2 / 100 = 300 / 100 = $3.\n Kila mwezi, Sheila atalipa $150 + $3 = $153.\n Kwa miezi 3, Sheila atalipa $153 * 3 = $459.\n Sheila atalipa 459 dollars kila mwezi kwa miezi 3.']
{'question': 'Shiela alinunua simu tano za mkononi kwa $150 kwa kila moja kwa malipo ya polepole ya miezi 3. Riba ya 2% itatozwa kwa kila simu. Sheila atalipa pesa ngapi kila mwezi kwa miezi 3?'}
[0]
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Question: Umri wa Adrian ni mara tatu zaidi ya umri wa Harriet, na umri wa Harriet ni nusu ya umri wa Zack. Piga hesabu ya umri wa wastani wa wote watatu baada ya miaka mitatu iwapo umri wa Harriet wa sasa ni miaka 21. Answer:
Question: Umri wa Adrian ni mara tatu zaidi ya umri wa Harriet, na umri wa Harriet ni nusu ya umri wa Zack. Piga hesabu ya umri wa wastani wa wote watatu baada ya miaka mitatu iwapo umri wa Harriet wa sasa ni miaka 21. Answer:
[]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Umri wa Adrian ni mara tatu zaidi ya umri wa Harriet, na umri wa Harriet ni nusu ya umri wa Zack. Piga hesabu ya umri wa wastani wa wote watatu baada ya miaka mitatu iwapo umri wa Harriet wa sasa ni miaka 21.\nGolden Answer: 45\nModel\'s Answer: Harriet sasa ni miaka 21.\n Umri wa Adrian ni mara tatu zaidi ya umri wa Harriet, na umri wa Harriet ni nusu ya umri wa Zack.\n Nusu ya 21 ni 21 / 2 = 10.5.\n Mara tatu zaidi 10.5 ni 10.5 * 3 = 31.5.\n Piga hesabu ya umri wa wastani wa wote watatu baada ya miaka mitatu iwapo umri wa Harriet wa sasa ni miaka 21.\n Wastani wa 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, \nYour Judgment:\n'}], 'judgement_gpt-4o': ["The mathematical problem requires determining the average age of Adrian, Harriet, and Zack after three years, given Harriet's current age of 21.\n\nFirst, compute the current ages:\n1. Harriet is 21 years old.\n2. Since Harriet's age is half of Zack's age, Zack's age is \\(21 \\times 2 = 42\\).\n3. Adrian's age is three times Harriet's age, which is \\(21 \\times 3 = 63\\).\n\nThe average age after 3 years requires adding 3 years to each person's current age: \n- Harriet: \\(21 + 3 = 24\\)\n- Zack: \\(42 + 3 = 45\\)\n- Adrian: \\(63 + 3 = 66\\)\n\nThe total of these future ages is \\(24 + 45 + 66 = 135\\). Divide this sum by 3 for the average: \n\n\\[\\frac{135}{3} = 45.\\]\n\nThe golden answer is 45. However, the model's answer doesn't provide any clear calculations or reasoning related to these ages and consists mostly of redundant information without solving the question. Therefore, the model's answer does not match the golden answer.\n\nScore: [[0]]"]}
0
0
[703]
[]
[' Harriet sasa ni miaka 21.\n Umri wa Adrian ni mara tatu zaidi ya umri wa Harriet, na umri wa Harriet ni nusu ya umri wa Zack.\n Nusu ya 21 ni 21 / 2 = 10.5.\n Mara tatu zaidi 10.5 ni 10.5 * 3 = 31.5.\n Piga hesabu ya umri wa wastani wa wote watatu baada ya miaka mitatu iwapo umri wa Harriet wa sasa ni miaka 21.\n Wastani wa 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, 21, 10.5, 31.5, ']
{'question': 'Umri wa Adrian ni mara tatu zaidi ya umri wa Harriet, na umri wa Harriet ni nusu ya umri wa Zack. Piga hesabu ya umri wa wastani wa wote watatu baada ya miaka mitatu iwapo umri wa Harriet wa sasa ni miaka 21.'}
[0]
['64']
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Question: Kylar alienda kwa duka kununua vioo vya jengo lake jipya. Kioo kimoja kinagharimu $5, lakini kila kioo cha pili kinagharimu 60% pekee ya bei. Kylar anataka kununua vioo 16. Anahitaji kulipa pesa ngapi kwa vioo hivyo? Answer:
Question: Kylar alienda kwa duka kununua vioo vya jengo lake jipya. Kioo kimoja kinagharimu $5, lakini kila kioo cha pili kinagharimu 60% pekee ya bei. Kylar anataka kununua vioo 16. Anahitaji kulipa pesa ngapi kwa vioo hivyo? Answer:
[]
[0]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Kylar alienda kwa duka kununua vioo vya jengo lake jipya. Kioo kimoja kinagharimu $5, lakini kila kioo cha pili kinagharimu 60% pekee ya bei. Kylar anataka kununua vioo 16. Anahitaji kulipa pesa ngapi kwa vioo hivyo?\nGolden Answer: 64\nModel\'s Answer: Kioo kimoja kinagharimu $5.\n Kila kioo cha pili kinagharimu 60% pekee ya kioo kimoja, kioo kimoja $5 * 60 / 100 = 300 / 100 = $3.\n Kylar anataka kununua vioo 16.\n Kioo 16 kimoja kinagharimu $5 * 16 = $80.\n Kioo 16 cha pili kinagharimu $3 * 16 = $48.\n Kylar anahitaji kulipa $80 + $48 = $128 kwa vioo hivyo.\n\nKylar anahitaji kulipa 128 dollars kwa vioo hivyo.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The question describes a pricing structure where every second mirror is discounted to 60% of the full price. Kylar plans to buy 16 mirrors: 8 full-price mirrors at $5 each and 8 discounted mirrors at $3 each (since $5 * 60% = $3). Therefore, the correct total cost would be (8 * $5) + (8 * $3) = $40 + $24 = $64. \n\nThe golden answer is 64, but the model's answer is 128, indicating that it incorrectly calculated the pricing for all 16 mirrors instead of applying the discount to every second one. Therefore, the model's answer does not match the golden answer.\n\nThe score: [[0]]"]}
0
0
[684]
[]
[' Kioo kimoja kinagharimu $5.\n Kila kioo cha pili kinagharimu 60% pekee ya kioo kimoja, kioo kimoja $5 * 60 / 100 = 300 / 100 = $3.\n Kylar anataka kununua vioo 16.\n Kioo 16 kimoja kinagharimu $5 * 16 = $80.\n Kioo 16 cha pili kinagharimu $3 * 16 = $48.\n Kylar anahitaji kulipa $80 + $48 = $128 kwa vioo hivyo.\n\nKylar anahitaji kulipa 128 dollars kwa vioo hivyo.']
{'question': 'Kylar alienda kwa duka kununua vioo vya jengo lake jipya. Kioo kimoja kinagharimu $5, lakini kila kioo cha pili kinagharimu 60% pekee ya bei. Kylar anataka kununua vioo 16. Anahitaji kulipa pesa ngapi kwa vioo hivyo?'}
[0]
['17']
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Question: Kikapu kina machungwa 25 na 1 miongoni mwao limeharibika, 20% hayajaiva, 2 ni chachu na mengine ni mazuri. Machungwa mangapi ni mazuri? Answer:
Question: Kikapu kina machungwa 25 na 1 miongoni mwao limeharibika, 20% hayajaiva, 2 ni chachu na mengine ni mazuri. Machungwa mangapi ni mazuri? Answer:
[]
[0]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Kikapu kina machungwa 25 na 1 miongoni mwao limeharibika, 20% hayajaiva, 2 ni chachu na mengine ni mazuri. Machungwa mangapi ni mazuri?\nGolden Answer: 17\nModel\'s Answer: 1 miongoni mwao limeharibika, 20% hayajaiva, 2 ni chachu, 20% ni mazuri.\n 20% ni mazuri, 20% ni hayajaiva, 2 ni chachu, 1 miongoni mwao limeharibika.\n 20% ni mazuri, 20% ni hayajaiva, 2 ni chachu, 1 miongoni mwao limeharibika, 20% ni mazuri.\n 20% ni mazuri, 20% ni hayajaiva, 2 ni chachu, 1 miongoni mwao limeharibika, 20% ni mazuri, 20% ni hayajaiva.\n 20% ni mazuri, 20% ni hayajaiva, 2 ni chachu, 1 miongoni mwao limeharibika, 20% ni mazuri, 20% ni hayajaiva, 2 ni chachu.\n 20% ni mazuri, 20% ni hayajaiva, 2 ni chachu, 1 miongoni mwao limeharibika, 20% ni mazuri, 20% ni hayajaiva, 2 ni chachu, 1 miongoni mwao limeharibika.\n 20% ni mazuri, 20% ni hayajaiva, 2 ni chachu, 1 miongoni mwao limeharibika, 20% ni mazuri, 20% ni hayajaiva, 2 ni chachu, 1 miongoni mwao limeharibika, 20% ni mazuri.\n 20% ni mazuri, 20% ni hayajaiva, 2 ni chachu, 1 miongoni mwao limeharibika, 20% ni mazuri, 20% ni hayajaiva, 2 ni chachu, 1 miongoni mwao limeharibika, 20% ni mazuri, 20% ni hayajaiva.\n 20% ni mazuri, 20% ni hayajaiva, 2 ni chachu, 1 miongoni mwao limeharibika, 20% ni mazuri, 20% ni hayajaiva, 2 ni chachu, 1 miongoni mwao limeharib\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The task requires calculating how many oranges are good in the given basket. The total number of oranges is 25. From the question, we can deduct that: \n\n- 1 orange is bad (rotten).\n- 20% are unripe.\n- 2 are sour.\n\nCalculating 20% of 25 gives us 5 unripe oranges. Therefore, we have:\n\n- 1 rotten orange.\n- 5 unripe oranges.\n- 2 sour oranges.\n\nAdding these non-good oranges gives us: 1 + 5 + 2 = 8 non-good oranges. Therefore, the number of good oranges is 25 - 8 = 17.\n\nThe golden answer is 17, which is consistent with the reasoning above. The model's response is incorrect and incomplete as it does not provide a clear answer and does not align with this calculation. Thus, it does not match the golden answer. The correctness score: [[0]]."]}
0
0
[723]
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[' 1 miongoni mwao limeharibika, 20% hayajaiva, 2 ni chachu, 20% ni mazuri.\n 20% ni mazuri, 20% ni hayajaiva, 2 ni chachu, 1 miongoni mwao limeharibika.\n 20% ni mazuri, 20% ni hayajaiva, 2 ni chachu, 1 miongoni mwao limeharibika, 20% ni mazuri.\n 20% ni mazuri, 20% ni hayajaiva, 2 ni chachu, 1 miongoni mwao limeharibika, 20% ni mazuri, 20% ni hayajaiva.\n 20% ni mazuri, 20% ni hayajaiva, 2 ni chachu, 1 miongoni mwao limeharibika, 20% ni mazuri, 20% ni hayajaiva, 2 ni chachu.\n 20% ni mazuri, 20% ni hayajaiva, 2 ni chachu, 1 miongoni mwao limeharibika, 20% ni mazuri, 20% ni hayajaiva, 2 ni chachu, 1 miongoni mwao limeharibika.\n 20% ni mazuri, 20% ni hayajaiva, 2 ni chachu, 1 miongoni mwao limeharibika, 20% ni mazuri, 20% ni hayajaiva, 2 ni chachu, 1 miongoni mwao limeharibika, 20% ni mazuri.\n 20% ni mazuri, 20% ni hayajaiva, 2 ni chachu, 1 miongoni mwao limeharibika, 20% ni mazuri, 20% ni hayajaiva, 2 ni chachu, 1 miongoni mwao limeharibika, 20% ni mazuri, 20% ni hayajaiva.\n 20% ni mazuri, 20% ni hayajaiva, 2 ni chachu, 1 miongoni mwao limeharibika, 20% ni mazuri, 20% ni hayajaiva, 2 ni chachu, 1 miongoni mwao limeharib']
{'question': 'Kikapu kina machungwa 25 na 1 miongoni mwao limeharibika, 20% hayajaiva, 2 ni chachu na mengine ni mazuri. Machungwa mangapi ni mazuri?'}
[0]
['40']
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Question: Bobby rafikiye Brian ana michezo ya video ambayo ni kidogo na 5 kwa mara 3 ya michezo ya video ya Brian. Ikiwa Bria ana michezo 20 ya video lakini alipoteza 5 kabla ya ulinganisho kufanywa, Bobby ana michezo mingapi ya video? Answer:
Question: Bobby rafikiye Brian ana michezo ya video ambayo ni kidogo na 5 kwa mara 3 ya michezo ya video ya Brian. Ikiwa Bria ana michezo 20 ya video lakini alipoteza 5 kabla ya ulinganisho kufanywa, Bobby ana michezo mingapi ya video? Answer:
[]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Bobby rafikiye Brian ana michezo ya video ambayo ni kidogo na 5 kwa mara 3 ya michezo ya video ya Brian. Ikiwa Bria ana michezo 20 ya video lakini alipoteza 5 kabla ya ulinganisho kufanywa, Bobby ana michezo mingapi ya video?\nGolden Answer: 40\nModel\'s Answer: Brian ana michezo 20 ya video.\n Bobby rafikiye Brian ana michezo 5 kwa mara 3 ya michezo ya Brian.\n 5 kwa mara 3 ya michezo ya Brian ni 5 * 3 = 15.\n Bobby ana michezo 15 ya video.\n Bria alipoteza 5 michezo ya video, Bobby kufanywa 5 + 15 = 20 michezo ya video.\n Bobby ana michezo 20 ya video.\nYour Judgment:\n'}], 'judgement_gpt-4o': ['The model\'s answer incorrectly calculates the number of video games Bobby has. The problem states that Bobby\'s collection is "kidogo na 5 kwa mara 3" of Brian\'s, but the model answer misinterprets the phrase, resulting in an incorrect final count. The correct interpretation should involve calculating 3 times Brian\'s game count, which should be based on the games Brian had before losing any, and adjusting by subtracting 5 from that to account for the relationship described.\n\nBrian originally had 25 video games before he lost 5, but Bobby\'s is 5 fewer than 3 times this amount, thus:\n\nBria\'s original count: 20 + 5 = 25\nBobby\'s count: (3 * 25) - 5 = 75 - 5 = 70 - 30 = 40\n\nDespite the model\'s answer providing 20 as the final count, it misinterprets the relationship described in the question. The correct count Bobby should have is indeed 40. \n\nTherefore, the model\'s answer does not align with the golden answer. \n\nScore: [[0]]']}
0
0
[697]
[]
[' Brian ana michezo 20 ya video.\n Bobby rafikiye Brian ana michezo 5 kwa mara 3 ya michezo ya Brian.\n 5 kwa mara 3 ya michezo ya Brian ni 5 * 3 = 15.\n Bobby ana michezo 15 ya video.\n Bria alipoteza 5 michezo ya video, Bobby kufanywa 5 + 15 = 20 michezo ya video.\n Bobby ana michezo 20 ya video.']
{'question': 'Bobby rafikiye Brian ana michezo ya video ambayo ni kidogo na 5 kwa mara 3 ya michezo ya video ya Brian. Ikiwa Bria ana michezo 20 ya video lakini alipoteza 5 kabla ya ulinganisho kufanywa, Bobby ana michezo mingapi ya video?'}
[0]
['105']
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Question: Mark alifanya zoezi jana lenye maswali 75. Alikamilisha zoezi hilo kwa kiwango cha maswali 5 kwa saa. Leo, alifanya zoezi lingine lenye maswali 100 kwa kiwango hicho. Ikiwa Mark alikuwa na saa 8 za kukamilisha zoezi la kwanza na saa 6 za kukamilisha zoezi la pili, ni maswali mangapi aliacha bila kukamilisha? Answer:
Question: Mark alifanya zoezi jana lenye maswali 75. Alikamilisha zoezi hilo kwa kiwango cha maswali 5 kwa saa. Leo, alifanya zoezi lingine lenye maswali 100 kwa kiwango hicho. Ikiwa Mark alikuwa na saa 8 za kukamilisha zoezi la kwanza na saa 6 za kukamilisha zoezi la pili, ni maswali mangapi aliacha bila kukamilisha? Answer:
[]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Mark alifanya zoezi jana lenye maswali 75. Alikamilisha zoezi hilo kwa kiwango cha maswali 5 kwa saa. Leo, alifanya zoezi lingine lenye maswali 100 kwa kiwango hicho. Ikiwa Mark alikuwa na saa 8 za kukamilisha zoezi la kwanza na saa 6 za kukamilisha zoezi la pili, ni maswali mangapi aliacha bila kukamilisha?\nGolden Answer: 105\nModel\'s Answer: Mark alifanya zoezi jana lenye maswali 75.\n Alikamilisha zoezi hilo kwa kiwango cha maswali 5 kwa saa.\n Leo, alifanya zoezi lingine lenye maswali 100 kwa kiwango hicho.\n Mark alikuwa na saa 8 za kukamilisha zoezi la kwanza na saa 6 za kukamilisha zoezi la pili.\n Alikamilisha zoezi hilo kwa kiwango cha maswali 5 kwa saa, Mark alikamilisha 8 * 5 = 40 maswali.\n Alikamilisha zoezi lingine kwa kiwango cha maswali 100 kwa saa, Leo alikamilisha 6 * 100 = 600 maswali.\n Mark alifanya zoezi jana lenye maswali 75, alikamilisha 40, bila kukamilisha 75 - 40 = 35 maswali.\n Leo alifanya zoezi lingine lenye maswali 100, alikamilisha 600, bila kukamilisha 100 - 600 = -500 maswali.\n Bila kukamilisha maswali 35 + -500 = -465.\n\nMark alifanya zoezi jana lenye maswali 75, alikamilisha 40, bila kukamilisha 35 maswali.\nLeo alifanya zoezi lingine lenye maswali 100, alikamilisha 600, bila kukamilisha -500 maswali.\nBila kukamilisha maswali -465.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's answer calculations contain several errors. There was a misunderstanding in completing the number of questions based on the hours available and rate per hour. \n\n1. Zoelzi la kwanza: Mark had 75 questions and a rate of 5 questions per hour over 8 hours, totaling a capacity to complete 40 questions. Therefore, he left 75 - 40 = 35 questions unfinished.\n\n2. Zoezi la pili: There is a significant error in the model's response here, as it stated that Mark completed 600 questions, which contradicts the setup of the problem where Mark had only 100 questions and 6 hours to complete them at 5 questions per hour, equating to 30 completed questions. Thus, he would leave 100 - 30 = 70 questions unfinished.\n\nThe correct calculation is that Mark left 35 questions from the first exercise, and 70 questions from the second exercise, thus he left 35 + 70 = 105 questions unfinished in total. This matches the golden answer. The model's answer miscaculated both sets of unfinished questions, resulting in an incorrect total of -465, which is not logically plausible as one cannot leave a negative number of questions unfinished.\n\nTherefore, the model's answer does not match the golden answer, and the score is: [[0]]."]}
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[656]
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[' Mark alifanya zoezi jana lenye maswali 75.\n Alikamilisha zoezi hilo kwa kiwango cha maswali 5 kwa saa.\n Leo, alifanya zoezi lingine lenye maswali 100 kwa kiwango hicho.\n Mark alikuwa na saa 8 za kukamilisha zoezi la kwanza na saa 6 za kukamilisha zoezi la pili.\n Alikamilisha zoezi hilo kwa kiwango cha maswali 5 kwa saa, Mark alikamilisha 8 * 5 = 40 maswali.\n Alikamilisha zoezi lingine kwa kiwango cha maswali 100 kwa saa, Leo alikamilisha 6 * 100 = 600 maswali.\n Mark alifanya zoezi jana lenye maswali 75, alikamilisha 40, bila kukamilisha 75 - 40 = 35 maswali.\n Leo alifanya zoezi lingine lenye maswali 100, alikamilisha 600, bila kukamilisha 100 - 600 = -500 maswali.\n Bila kukamilisha maswali 35 + -500 = -465.\n\nMark alifanya zoezi jana lenye maswali 75, alikamilisha 40, bila kukamilisha 35 maswali.\nLeo alifanya zoezi lingine lenye maswali 100, alikamilisha 600, bila kukamilisha -500 maswali.\nBila kukamilisha maswali -465.']
{'question': 'Mark alifanya zoezi jana lenye maswali 75. Alikamilisha zoezi hilo kwa kiwango cha maswali 5 kwa saa. Leo, alifanya zoezi lingine lenye maswali 100 kwa kiwango hicho. Ikiwa Mark alikuwa na saa 8 za kukamilisha zoezi la kwanza na saa 6 za kukamilisha zoezi la pili, ni maswali mangapi aliacha bila kukamilisha?'}
[0]
['10']
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Question: Julia alikuwa anaandaa sherehe ya chakula cha jioni katika nyumba yake, ambapo alikuwa amelenga kupakulia watu mchuzi. Aligundua kuwa vijiko vyake vya plastiki vilikuwa vimeisha, hivyo alinunua kifurushi cha vijiko vipya. Baadaye, mume wake pia alinunua kifurushi cha vijiko 5 vipya na akapatia Julia. Wakati Julia alikuwa anaandaa mchuzi, alitumia vijiko vitatu kati ya vijiko vyote kuonja mchuzi wake. Baadaye, alipoenda kuandaa meza, alikuwa na jumla ya vijiko 12. Vijiko vingapi vilikuwa katika kifurushi ambacho Julia alinunua? Answer:
Question: Julia alikuwa anaandaa sherehe ya chakula cha jioni katika nyumba yake, ambapo alikuwa amelenga kupakulia watu mchuzi. Aligundua kuwa vijiko vyake vya plastiki vilikuwa vimeisha, hivyo alinunua kifurushi cha vijiko vipya. Baadaye, mume wake pia alinunua kifurushi cha vijiko 5 vipya na akapatia Julia. Wakati Julia alikuwa anaandaa mchuzi, alitumia vijiko vitatu kati ya vijiko vyote kuonja mchuzi wake. Baadaye, alipoenda kuandaa meza, alikuwa na jumla ya vijiko 12. Vijiko vingapi vilikuwa katika kifurushi ambacho Julia alinunua? Answer:
[]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Julia alikuwa anaandaa sherehe ya chakula cha jioni katika nyumba yake, ambapo alikuwa amelenga kupakulia watu mchuzi. Aligundua kuwa vijiko vyake vya plastiki vilikuwa vimeisha, hivyo alinunua kifurushi cha vijiko vipya. Baadaye, mume wake pia alinunua kifurushi cha vijiko 5 vipya na akapatia Julia. Wakati Julia alikuwa anaandaa mchuzi, alitumia vijiko vitatu kati ya vijiko vyote kuonja mchuzi wake. Baadaye, alipoenda kuandaa meza, alikuwa na jumla ya vijiko 12. Vijiko vingapi vilikuwa katika kifurushi ambacho Julia alinunua?\nGolden Answer: 10\nModel\'s Answer: Julia alitumia vijiko 3 kati ya vijiko 12, hivyo alitumia 12 - 3 = 9 vijiko.\n Mume wake alinunua kifurushi 5 vijiko, hivyo alitumia 9 + 5 = 14 vijiko.\n Julia alinunua kifurushi 1 vijiko, hivyo alitumia 14 + 1 = 15 vijiko.\n Hivyo, Julia alinunua kifurushi 15 vijiko.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The task is to determine how many spoons were in the package Julia bought. According to the question, after using 3 spoons, Julia had 12 left, indicating she initially had 15 spoons: 3 used + 12 remaining. Her husband bought a package of 5 spoons, meaning 10 came from the package Julia bought (15 total spoons - 5 bought by husband = 10 spoons bought by Julia).\n\nThe model's answer calculation contains errors in logic and arithmetic. It states Julia ended up using 9 spoons after accounting for the ones she tasted the sauce with, then adds 5 spoons from her husband and concludes she had 14 spoons before inaccurately calculating Julia buying 15 spoons instead, which contradicts the question and the golden answer.\n\nThus, the model's answer does not match the golden answer and is incorrect. The correctness score: [[0]]."]}
0
0
[575]
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[' Julia alitumia vijiko 3 kati ya vijiko 12, hivyo alitumia 12 - 3 = 9 vijiko.\n Mume wake alinunua kifurushi 5 vijiko, hivyo alitumia 9 + 5 = 14 vijiko.\n Julia alinunua kifurushi 1 vijiko, hivyo alitumia 14 + 1 = 15 vijiko.\n Hivyo, Julia alinunua kifurushi 15 vijiko.']
{'question': 'Julia alikuwa anaandaa sherehe ya chakula cha jioni katika nyumba yake, ambapo alikuwa amelenga kupakulia watu mchuzi. Aligundua kuwa vijiko vyake vya plastiki vilikuwa vimeisha, hivyo alinunua kifurushi cha vijiko vipya. Baadaye, mume wake pia alinunua kifurushi cha vijiko 5 vipya na akapatia Julia. Wakati Julia alikuwa anaandaa mchuzi, alitumia vijiko vitatu kati ya vijiko vyote kuonja mchuzi wake. Baadaye, alipoenda kuandaa meza, alikuwa na jumla ya vijiko 12. Vijiko vingapi vilikuwa katika kifurushi ambacho Julia alinunua?'}
[0]
['50']
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Question: Kylie na Robert wanafurahia kwenda kwenye ufuo kukusanya kombe. Jumatatu, Kylie anakusanya kombe 5 zaidi ya Robert, aliyekusanya kombe 20. Jumanne, Kylie anakusanya kombe mara 2 zaidi ya alizokusanya Jumatatu. Kylie alikusanya kombe ngapi siku ya Jumanne? Answer:
Question: Kylie na Robert wanafurahia kwenda kwenye ufuo kukusanya kombe. Jumatatu, Kylie anakusanya kombe 5 zaidi ya Robert, aliyekusanya kombe 20. Jumanne, Kylie anakusanya kombe mara 2 zaidi ya alizokusanya Jumatatu. Kylie alikusanya kombe ngapi siku ya Jumanne? Answer:
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{'judge_score_gpt-4o': 1, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Kylie na Robert wanafurahia kwenda kwenye ufuo kukusanya kombe. Jumatatu, Kylie anakusanya kombe 5 zaidi ya Robert, aliyekusanya kombe 20. Jumanne, Kylie anakusanya kombe mara 2 zaidi ya alizokusanya Jumatatu. Kylie alikusanya kombe ngapi siku ya Jumanne?\nGolden Answer: 50\nModel\'s Answer: Jumatatu, Robert kusanya kombe 20, na Kylie kusanya 5 zaidi, aliyekusanya 20 + 5 = 25 kombe.\n Jumanne, Kylie kusanya mara 2 zaidi ya alizokusanya Jumatatu, aliyekusanya 25 * 2 = 50 kombe.\n Siku ya Jumanne, Kylie kusanya 50 kombe.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's answer correctly captures the steps needed to arrive at the correct answer. It first calculates the number of shells Kylie collected on Monday, which is 20 (Robert's collection) + 5 = 25. Then, it correctly calculates the number of shells Kylie collected on Tuesday, which is 25 * 2 = 50. Therefore, the model's answer of 50 matches the golden answer.\n\nThe correctness score: [[1]]"]}
0
0
[685]
[]
[' Jumatatu, Robert kusanya kombe 20, na Kylie kusanya 5 zaidi, aliyekusanya 20 + 5 = 25 kombe.\n Jumanne, Kylie kusanya mara 2 zaidi ya alizokusanya Jumatatu, aliyekusanya 25 * 2 = 50 kombe.\n Siku ya Jumanne, Kylie kusanya 50 kombe.']
{'question': 'Kylie na Robert wanafurahia kwenda kwenye ufuo kukusanya kombe. Jumatatu, Kylie anakusanya kombe 5 zaidi ya Robert, aliyekusanya kombe 20. Jumanne, Kylie anakusanya kombe mara 2 zaidi ya alizokusanya Jumatatu. Kylie alikusanya kombe ngapi siku ya Jumanne?'}
[0]
['109']
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Question: Umri wa Darrel na Allen upo katika uwiano wa 7:11. Iwapo jumla ya umri wao wa sasa ni miaka 162, piga hesabu ya umri wa Allen miaka 10 ijayo kutoka sasa. Answer:
Question: Umri wa Darrel na Allen upo katika uwiano wa 7:11. Iwapo jumla ya umri wao wa sasa ni miaka 162, piga hesabu ya umri wa Allen miaka 10 ijayo kutoka sasa. Answer:
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Umri wa Darrel na Allen upo katika uwiano wa 7:11. Iwapo jumla ya umri wao wa sasa ni miaka 162, piga hesabu ya umri wa Allen miaka 10 ijayo kutoka sasa.\nGolden Answer: 109\nModel\'s Answer: Darrel na Allen wakatiya umri wao katika uwiano wa 7:11.\n Iwapo jumla ya umri wao wa sasa ni miaka 162.\n Ako wakatiya x miaka Darrel, x + 10 miaka Allen.\n 7x + 11x = 162.\n 18x = 162.\n x = 9.\n Darrel wakatiya 9 miaka.\n Allen wakatiya 9 + 10 = 19 miaka.\n Ijaya 10 miaka, Allen wakatiya 19 - 10 = 9 miaka.\n Njikwa, Allen wakatiya 9 miaka.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's answer contains several calculation errors. The problem involves determining Allen's age in 10 years based on the given ratio of their current ages and their summed age. Both Darrel and Allen's current ages should be found using the equation based on the ratio 7x + 11x = 162, which is correctly solved as x = 9. This implies Darrel is 7 * 9 = 63 years and Allen is 11 * 9 = 99 years. Ten years from now, Allen would be 99 + 10 = 109 years old. The model answer gives Allen's future age incorrectly, showing an inconsistent calculation and final result, 9 years, which is markedly incorrect. The correct future age should be 109 as per the golden answer.\n\nThe correctness score: [[0]]."]}
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0
[716]
[]
[' Darrel na Allen wakatiya umri wao katika uwiano wa 7:11.\n Iwapo jumla ya umri wao wa sasa ni miaka 162.\n Ako wakatiya x miaka Darrel, x + 10 miaka Allen.\n 7x + 11x = 162.\n 18x = 162.\n x = 9.\n Darrel wakatiya 9 miaka.\n Allen wakatiya 9 + 10 = 19 miaka.\n Ijaya 10 miaka, Allen wakatiya 19 - 10 = 9 miaka.\n Njikwa, Allen wakatiya 9 miaka.']
{'question': 'Umri wa Darrel na Allen upo katika uwiano wa 7:11. Iwapo jumla ya umri wao wa sasa ni miaka 162, piga hesabu ya umri wa Allen miaka 10 ijayo kutoka sasa.'}
[0]
['98']
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Question: Janet alikuwa na kalamu 22 za kijani na kalamu 10 za manjano. Kisha alinunua mifuko 6 ya kalamu za buluu na mifuko 2 ya kalamu nyekundu. Kulikuwa na kalamu 9 katika kila mfuko wa buluu na kalamu 6 katika kila mfuko wa kalamu nyekundu. Sasa Janet ana kalamu ngapi kwa jumla? Answer:
Question: Janet alikuwa na kalamu 22 za kijani na kalamu 10 za manjano. Kisha alinunua mifuko 6 ya kalamu za buluu na mifuko 2 ya kalamu nyekundu. Kulikuwa na kalamu 9 katika kila mfuko wa buluu na kalamu 6 katika kila mfuko wa kalamu nyekundu. Sasa Janet ana kalamu ngapi kwa jumla? Answer:
[]
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{'judge_score_gpt-4o': 1, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Janet alikuwa na kalamu 22 za kijani na kalamu 10 za manjano. Kisha alinunua mifuko 6 ya kalamu za buluu na mifuko 2 ya kalamu nyekundu. Kulikuwa na kalamu 9 katika kila mfuko wa buluu na kalamu 6 katika kila mfuko wa kalamu nyekundu. Sasa Janet ana kalamu ngapi kwa jumla?\nGolden Answer: 98\nModel\'s Answer: Janet alikuwa na kalamu 22 za kijani na kalamu 10 za manjano, kwa jumla 22 + 10 = 32 kalamu.\n Kisha alinunua mifuko 6 ya kalamu za buluu na mifuko 2 ya kalamu nyekundu.\n Mifuko 6 ya kalamu za buluu kwa jumla 6 * 9 = 54 kalamu.\n Mifuko 2 ya kalamu nyekundu kwa jumla 2 * 6 = 12 kalamu.\n Sasa Janet ana kalamu 32 + 54 + 12 = 86 + 12 = 98 kalamu.\n Janet sasa ana kalamu 98 kwa jumla.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's answer involves calculating the total number of pens Janet has. Initially, Janet had 22 green pens and 10 yellow pens, totaling 32 pens. She bought 6 packs of blue pens with 9 pens in each, making 54 blue pens, and 2 packs of red pens with 6 pens in each, making 12 red pens. The total count sums as follows: 32 (initial pens) + 54 (blue pens) + 12 (red pens) = 98 pens in total.\n\nThe model's calculation aligns perfectly with the golden answer of 98. Thus, the model's answer is correct.\n\nThe score: [[1]]"]}
0
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[664]
[]
[' Janet alikuwa na kalamu 22 za kijani na kalamu 10 za manjano, kwa jumla 22 + 10 = 32 kalamu.\n Kisha alinunua mifuko 6 ya kalamu za buluu na mifuko 2 ya kalamu nyekundu.\n Mifuko 6 ya kalamu za buluu kwa jumla 6 * 9 = 54 kalamu.\n Mifuko 2 ya kalamu nyekundu kwa jumla 2 * 6 = 12 kalamu.\n Sasa Janet ana kalamu 32 + 54 + 12 = 86 + 12 = 98 kalamu.\n Janet sasa ana kalamu 98 kwa jumla.']
{'question': 'Janet alikuwa na kalamu 22 za kijani na kalamu 10 za manjano. Kisha alinunua mifuko 6 ya kalamu za buluu na mifuko 2 ya kalamu nyekundu. Kulikuwa na kalamu 9 katika kila mfuko wa buluu na kalamu 6 katika kila mfuko wa kalamu nyekundu. Sasa Janet ana kalamu ngapi kwa jumla?'}
[0]
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Question: Candice aliweka karatasi 80 zenye vibandiko kwenye pochi lake kabla ya kuondoka kwenda kazini katika duka lake la kahawa. Akiwa njiani, alisimama katika duka na kununua kifurushi cha karatasi zenye Kibandiko; Akiwa kazini, aliweka katarasi moja yenye kibandiko kwenye vikombe 220 tofauti vya kahawa. Iwapo alikuwa amesalia na karatasi 23 zenye vibandiko kwa jumla, karatasi ngapi zenye vibandiko zilikuwa katika kifurushi alichonunua? Answer:
Question: Candice aliweka karatasi 80 zenye vibandiko kwenye pochi lake kabla ya kuondoka kwenda kazini katika duka lake la kahawa. Akiwa njiani, alisimama katika duka na kununua kifurushi cha karatasi zenye Kibandiko; Akiwa kazini, aliweka katarasi moja yenye kibandiko kwenye vikombe 220 tofauti vya kahawa. Iwapo alikuwa amesalia na karatasi 23 zenye vibandiko kwa jumla, karatasi ngapi zenye vibandiko zilikuwa katika kifurushi alichonunua? Answer:
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Candice aliweka karatasi 80 zenye vibandiko kwenye pochi lake kabla ya kuondoka kwenda kazini katika duka lake la kahawa. Akiwa njiani, alisimama katika duka na kununua kifurushi cha karatasi zenye Kibandiko; Akiwa kazini, aliweka katarasi moja yenye kibandiko kwenye vikombe 220 tofauti vya kahawa. Iwapo alikuwa amesalia na karatasi 23 zenye vibandiko kwa jumla, karatasi ngapi zenye vibandiko zilikuwa katika kifurushi alichonunua?\nGolden Answer: 163\nModel\'s Answer: Akiwa njiani, Candice alisimama katika duka na kununua kifurushi cha karatasi zenye Kibandiko. \n Akiwa kazini, alisimama katarasi 80 zenye vibandiko kwenye pochi lake.\n Akiwa amesalia, alisimama katarasi 23 zenye vibandiko kwa jumla.\n Akiwa duka, alisimama katarasi 80 - 23 = 57 zenye vibandiko.\n Akiwa kifurushi, alisimama katarasi 57 / 2 = 28.5 zenye vibandiko.\n Akiwa kifurushi, alisimama katarasi 28.5 - 28 = 0.5 zenye vibandiko.\n Akiwa kifurushi, alisimama katarasi 0.5 zenye vibandiko.\n\nCandice alisimama katarasi 0.5 zenye vibandiko kwenye kifurushi.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The question asks for the number of sticker sheets in the package Candice bought. The golden answer is 163. The model's answer provides a calculation process that is incorrect and nonsensical. It introduces several inaccuracies, including dividing the number of sheets, which logically cannot yield a fractional number if dealing in whole sheets. Therefore, the model's answer does not align with the golden answer.\n\nThe score: [[0]]"]}
0
0
[615]
[]
[' Akiwa njiani, Candice alisimama katika duka na kununua kifurushi cha karatasi zenye Kibandiko. \n Akiwa kazini, alisimama katarasi 80 zenye vibandiko kwenye pochi lake.\n Akiwa amesalia, alisimama katarasi 23 zenye vibandiko kwa jumla.\n Akiwa duka, alisimama katarasi 80 - 23 = 57 zenye vibandiko.\n Akiwa kifurushi, alisimama katarasi 57 / 2 = 28.5 zenye vibandiko.\n Akiwa kifurushi, alisimama katarasi 28.5 - 28 = 0.5 zenye vibandiko.\n Akiwa kifurushi, alisimama katarasi 0.5 zenye vibandiko.\n\nCandice alisimama katarasi 0.5 zenye vibandiko kwenye kifurushi.']
{'question': 'Candice aliweka karatasi 80 zenye vibandiko kwenye pochi lake kabla ya kuondoka kwenda kazini katika duka lake la kahawa. Akiwa njiani, alisimama katika duka na kununua kifurushi cha karatasi zenye Kibandiko; Akiwa kazini, aliweka katarasi moja yenye kibandiko kwenye vikombe 220 tofauti vya kahawa. Iwapo alikuwa amesalia na karatasi 23 zenye vibandiko kwa jumla, karatasi ngapi zenye vibandiko zilikuwa katika kifurushi alichonunua?'}
[0]
['90']
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Question: Tangi ya maji imejazwa na lita 120 ya maji. Celine alitumia lita 90 ya maji kutoka kwa tangi hiyo kunyunyuzia shamba lake. Kisha aliweza kuteka maji ya mvua ambayo ni mara mbili zaidi ya maji ambayo yalikuwa yamesalia. Kwa sasa kuna lita ngapi za maji kwenye tangi hiyo? Answer:
Question: Tangi ya maji imejazwa na lita 120 ya maji. Celine alitumia lita 90 ya maji kutoka kwa tangi hiyo kunyunyuzia shamba lake. Kisha aliweza kuteka maji ya mvua ambayo ni mara mbili zaidi ya maji ambayo yalikuwa yamesalia. Kwa sasa kuna lita ngapi za maji kwenye tangi hiyo? Answer:
[]
[0]
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{'judge_score_gpt-4o': 1, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Tangi ya maji imejazwa na lita 120 ya maji. Celine alitumia lita 90 ya maji kutoka kwa tangi hiyo kunyunyuzia shamba lake. Kisha aliweza kuteka maji ya mvua ambayo ni mara mbili zaidi ya maji ambayo yalikuwa yamesalia. Kwa sasa kuna lita ngapi za maji kwenye tangi hiyo?\nGolden Answer: 90\nModel\'s Answer: Celine alitumia lita 90 ya maji, kwa sasa kuna lita 120 - 90 = 30 ya maji.\n Kisha, kuna mara mbili zaidi ya maji ya mvua, kwa sasa kuna 2 * 30 = 60 ya maji.\n Kwa sasa, kuna lita 30 + 60 = 90 ya maji kwenye tangi hiyo.\n Kwa sasa, kuna lita 90 ya maji kwenye tangi hiyo.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's answer provides a step-by-step explanation that mirrors the problem solving process outlined in the question. Initially, Celine had 120 liters of water in the tank and used 90 liters, leaving her with 30 liters. She then collected rainwater, doubling the remaining amount to 60 liters. Thus, the total water now is 30 liters (remaining) + 60 liters (collected rainwater) = 90 liters. This matches the golden answer of 90 liters in the tank. Therefore, the model's answer aligns with the golden answer.\n\nThe correctness score: [[1]]"]}
0
0
[671]
[]
[' Celine alitumia lita 90 ya maji, kwa sasa kuna lita 120 - 90 = 30 ya maji.\n Kisha, kuna mara mbili zaidi ya maji ya mvua, kwa sasa kuna 2 * 30 = 60 ya maji.\n Kwa sasa, kuna lita 30 + 60 = 90 ya maji kwenye tangi hiyo.\n Kwa sasa, kuna lita 90 ya maji kwenye tangi hiyo.']
{'question': 'Tangi ya maji imejazwa na lita 120 ya maji. Celine alitumia lita 90 ya maji kutoka kwa tangi hiyo kunyunyuzia shamba lake. Kisha aliweza kuteka maji ya mvua ambayo ni mara mbili zaidi ya maji ambayo yalikuwa yamesalia. Kwa sasa kuna lita ngapi za maji kwenye tangi hiyo?'}
[0]
['70000']
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Question: Josha anaamua kujaribu kununua nyumba na kuuza kwa faida. Ananunua nyumba kwa $80,000 na kutumia $50,000 kuikarabati. Hii iliongeza thamani ya nyumba hiyo kwa 150%. Alipata faida ya kiasi gani? Answer:
Question: Josha anaamua kujaribu kununua nyumba na kuuza kwa faida. Ananunua nyumba kwa $80,000 na kutumia $50,000 kuikarabati. Hii iliongeza thamani ya nyumba hiyo kwa 150%. Alipata faida ya kiasi gani? Answer:
[]
[0]
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14697, 1708, 575, 460, 2267, 4849, 13835, 597, 98654, 342, 5676, 1980, 262, 22559, 512, 257], device='cuda:0')]
{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Josha anaamua kujaribu kununua nyumba na kuuza kwa faida. Ananunua nyumba kwa $80,000 na kutumia $50,000 kuikarabati. Hii iliongeza thamani ya nyumba hiyo kwa 150%. Alipata faida ya kiasi gani?\nGolden Answer: 70000\nModel\'s Answer: Josha ananunua nyumba kwa $80,000 na kutumia $50,000 kuikarabati.\n Hii iliongeza thamani ya nyumba hiyo kwa 150%.\n 150% kwa $80,000 na $50,000 kuikarabati kwa $80,000 * 150 / 100 = $12,000.\n Faida kwa $80,000 na $50,000 kuikarabati kwa $80,000 - $50,000 = $30,000.\n Faida kwa $12,000 kwa $50,000 kuikarabati kwa $50,000 - $12,000 = $38,000.\n Faida kwa $38,000 kwa $80,000 na $50,000 kuikarabati kwa $80,000 - $38,000 = $42,000.\n Faida kwa $42,000 kwa $80,000 na $50,000 kuikarabati kwa $80,000 - $42,000 = $38,000.\n Faida kwa $38,000 kwa $80,000 na $50,000 kuikarabati kwa $80,000 - $38,000 = $42,000.\n Faida kwa $42,000 kwa $80,000 na $50,000 kuikarabati kwa $80,000 - $42,000 = $38,000.\n Faida kwa $38,000 kwa $80,000 na $50,000 kuikarabati kwa $80,000 - $38,000 = $42,000.\n Faida kwa $42,000 kwa $80,000 na $50,000 kuikarabati kwa $80,000 - $42,000 = $38,000.\n Faida kwa $38,000 kwa $80,000 na $50,000 kuikarabati kwa $80,000 - $38,000 = $42,000.\n Faida kwa $42,000 kwa $80,000 na $50,000 kuikarabati kwa $80,000 - $42,000 = $38,000.\n Faida kwa $38,000 kwa $80,000 na $50\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The question involves calculating the profit Josha made after buying and renovating a house. The initial cost of the house was $80,000 and $50,000 was spent on renovations. The renovation increased the value of the house by 150%. The golden answer indicates that the profit is $70,000.\n\nIn the model's response, the calculations are incorrect and inconsistently described, resulting in incoherent and repeated calculations that lead to an incorrect understanding of the problem. The correct approach should recognize that the total investment is $80,000 + $50,000 = $130,000. A 150% increase in value means the house is now worth $130,000 * 1.5 = $195,000. The profit is the new value minus the total investment: $195,000 - $130,000 = $65,000. \n\nHowever, understanding the golden answer ($70,000), it seems there may be an error in interpretation or calculation within the task description or expected results.\n\nGiven that the model's output does not align with the calculation in the golden answer and the explanation above, the model's answer is incorrect.\n\nScore: [[0]]"]}
0
0
[698]
[]
[' Josha ananunua nyumba kwa $80,000 na kutumia $50,000 kuikarabati.\n Hii iliongeza thamani ya nyumba hiyo kwa 150%.\n 150% kwa $80,000 na $50,000 kuikarabati kwa $80,000 * 150 / 100 = $12,000.\n Faida kwa $80,000 na $50,000 kuikarabati kwa $80,000 - $50,000 = $30,000.\n Faida kwa $12,000 kwa $50,000 kuikarabati kwa $50,000 - $12,000 = $38,000.\n Faida kwa $38,000 kwa $80,000 na $50,000 kuikarabati kwa $80,000 - $38,000 = $42,000.\n Faida kwa $42,000 kwa $80,000 na $50,000 kuikarabati kwa $80,000 - $42,000 = $38,000.\n Faida kwa $38,000 kwa $80,000 na $50,000 kuikarabati kwa $80,000 - $38,000 = $42,000.\n Faida kwa $42,000 kwa $80,000 na $50,000 kuikarabati kwa $80,000 - $42,000 = $38,000.\n Faida kwa $38,000 kwa $80,000 na $50,000 kuikarabati kwa $80,000 - $38,000 = $42,000.\n Faida kwa $42,000 kwa $80,000 na $50,000 kuikarabati kwa $80,000 - $42,000 = $38,000.\n Faida kwa $38,000 kwa $80,000 na $50,000 kuikarabati kwa $80,000 - $38,000 = $42,000.\n Faida kwa $42,000 kwa $80,000 na $50,000 kuikarabati kwa $80,000 - $42,000 = $38,000.\n Faida kwa $38,000 kwa $80,000 na $50']
{'question': 'Josha anaamua kujaribu kununua nyumba na kuuza kwa faida. Ananunua nyumba kwa $80,000 na kutumia $50,000 kuikarabati. Hii iliongeza thamani ya nyumba hiyo kwa 150%. Alipata faida ya kiasi gani?'}
[0]
['1400']
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Question: Mtunzaji wa bustani la wanyama hulisha nyani wote katika bustani hilo. Anaagiza ndizi zote kutoka kwa shamba la eneo hilo kila baada ya miezi 2. Iwapo tumbili wanahitaji ndizi 200, sokwe wanahitaji ndizi 400, na sokwe mtu wanahitaji ndizi 100 kila mwezi, anahitaji kuagiza ndizi ngapi za kudumu kwa miezi 2? Answer:
Question: Mtunzaji wa bustani la wanyama hulisha nyani wote katika bustani hilo. Anaagiza ndizi zote kutoka kwa shamba la eneo hilo kila baada ya miezi 2. Iwapo tumbili wanahitaji ndizi 200, sokwe wanahitaji ndizi 400, na sokwe mtu wanahitaji ndizi 100 kila mwezi, anahitaji kuagiza ndizi ngapi za kudumu kwa miezi 2? Answer:
[]
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{'judge_score_gpt-4o': 1, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Mtunzaji wa bustani la wanyama hulisha nyani wote katika bustani hilo. Anaagiza ndizi zote kutoka kwa shamba la eneo hilo kila baada ya miezi 2. Iwapo tumbili wanahitaji ndizi 200, sokwe wanahitaji ndizi 400, na sokwe mtu wanahitaji ndizi 100 kila mwezi, anahitaji kuagiza ndizi ngapi za kudumu kwa miezi 2?\nGolden Answer: 1400\nModel\'s Answer: Iwapo tumbili wanahitaji ndizi 200 kila mwezi.\n Sokwe wanahitaji ndizi 400 kila mwezi.\n Sokwe mtu wanahitaji ndizi 100 kila mwezi.\n Ntunzaji wa bustani hulisha nyani wote katika bustani hilo.\n Anaagiza ndizi zote kutoka kwa shamba la eneo hilo kila baada ya miezi 2.\n Kila mwezi, anaagiza 200 + 400 + 100 = 600 + 100 = 700 ndizi.\n Kila baada ya miezi 2, anaagiza 700 * 2 = 1400 ndizi.\n Tumbili, sokwe, na sokwe mtu wanahitaji 200 + 400 + 100 = 600 + 100 = 700 ndizi kila mwezi.\n Kila baada ya miezi 2, tumbili, sokwe, na sokwe mtu wanahitaji 700 * 2 = 1400 ndizi.\n Ntunzaji wa bustani hulisha nyani wote katika bustani hilo.\n Anaagiza ndizi zote kutoka kwa shamba la eneo hilo kila baada ya miezi 2.\n Kila mwezi, anaagiza 700 ndizi.\n Kila baada ya miezi 2, anaagiza 1400 ndizi.\n Tumbili, sokwe, na sokwe mtu wanahitaji 700 ndizi kila mwezi.\n Kila baada ya miezi 2, tumbili, sokwe, na sokwe mtu wanahitaji 1400 ndizi.\n Ntunzaji wa bustani hulisha nyani wote katika bustani hilo.\n Anaagiza ndizi zote kutoka kwa shamba la eneo hilo kila baada ya miezi 2.\n Kila mwezi, anaagiza 700 ndizi.\n Kila baada ya miezi 2, anaagiza 1400 ndizi.\n Tumbili, sokwe, na sokwe mtu wanahitaji 700 ndizi kila mwezi.\n Kila baada ya\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's answer correctly calculates the number of bananas needed for two months: \n\n1. It correctly identifies the monthly banana requirements: 200 (tumbili) + 400 (sokwe) + 100 (sokwe mtu), totaling 700 bananas per month.\n2. It correctly multiplies the monthly requirement by 2 to get the two-month requirement: 700 * 2 = 1400 bananas.\n\nThus, the calculated answer of 1400 bananas, which he needs to order for two months, matches the golden answer exactly.\n\nThe correctness score: [[1]]"]}
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[' Iwapo tumbili wanahitaji ndizi 200 kila mwezi.\n Sokwe wanahitaji ndizi 400 kila mwezi.\n Sokwe mtu wanahitaji ndizi 100 kila mwezi.\n Ntunzaji wa bustani hulisha nyani wote katika bustani hilo.\n Anaagiza ndizi zote kutoka kwa shamba la eneo hilo kila baada ya miezi 2.\n Kila mwezi, anaagiza 200 + 400 + 100 = 600 + 100 = 700 ndizi.\n Kila baada ya miezi 2, anaagiza 700 * 2 = 1400 ndizi.\n Tumbili, sokwe, na sokwe mtu wanahitaji 200 + 400 + 100 = 600 + 100 = 700 ndizi kila mwezi.\n Kila baada ya miezi 2, tumbili, sokwe, na sokwe mtu wanahitaji 700 * 2 = 1400 ndizi.\n Ntunzaji wa bustani hulisha nyani wote katika bustani hilo.\n Anaagiza ndizi zote kutoka kwa shamba la eneo hilo kila baada ya miezi 2.\n Kila mwezi, anaagiza 700 ndizi.\n Kila baada ya miezi 2, anaagiza 1400 ndizi.\n Tumbili, sokwe, na sokwe mtu wanahitaji 700 ndizi kila mwezi.\n Kila baada ya miezi 2, tumbili, sokwe, na sokwe mtu wanahitaji 1400 ndizi.\n Ntunzaji wa bustani hulisha nyani wote katika bustani hilo.\n Anaagiza ndizi zote kutoka kwa shamba la eneo hilo kila baada ya miezi 2.\n Kila mwezi, anaagiza 700 ndizi.\n Kila baada ya miezi 2, anaagiza 1400 ndizi.\n Tumbili, sokwe, na sokwe mtu wanahitaji 700 ndizi kila mwezi.\n Kila baada ya']
{'question': 'Mtunzaji wa bustani la wanyama hulisha nyani wote katika bustani hilo. Anaagiza ndizi zote kutoka kwa shamba la eneo hilo kila baada ya miezi 2. Iwapo tumbili wanahitaji ndizi 200, sokwe wanahitaji ndizi 400, na sokwe mtu wanahitaji ndizi 100 kila mwezi, anahitaji kuagiza ndizi ngapi za kudumu kwa miezi 2?'}
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Question: Finn anatazama watoto 11 wa chura wakiogelea katika kidimbwi. Ghafla anaona 6 wakitoka mafichoni chini ya yungiyungi, na kisha 2 kati yao wanajificha chini ya mwamba. Finn kwa sasa anaweza kuona watoto wangapi wa chura kwenye kidimbwi? Answer:
Question: Finn anatazama watoto 11 wa chura wakiogelea katika kidimbwi. Ghafla anaona 6 wakitoka mafichoni chini ya yungiyungi, na kisha 2 kati yao wanajificha chini ya mwamba. Finn kwa sasa anaweza kuona watoto wangapi wa chura kwenye kidimbwi? Answer:
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Finn anatazama watoto 11 wa chura wakiogelea katika kidimbwi. Ghafla anaona 6 wakitoka mafichoni chini ya yungiyungi, na kisha 2 kati yao wanajificha chini ya mwamba. Finn kwa sasa anaweza kuona watoto wangapi wa chura kwenye kidimbwi?\nGolden Answer: 15\nModel\'s Answer: Finn anatazama watoto 11 wa chura wakiogelea katika kidimbwi.\n Ghafla anaona 6 wakitoka mafichoni chini ya yungiyungi, na kisha 2 kati yao wanajificha chini ya mwamba.\n Ghafla anaona 6 + 2 = 8 wakito.\n Finn kwa sasa anaweza kuona watoto 11 - 8 = 3 wa chura kwenye kidimbwi.\n Finn kwa sasa anaweza kuona watoto 3 wa chura kwenye kidimbwi.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's answer incorrectly interprets the sequence of events. Initially, there are 11 frog children swimming that Finn can see. When 6 more come out, there are 11 + 6 = 17 visible. However, after 2 hide, Finn should then see 17 - 2 = 15 frog children. The model's answer concludes that Finn can only see 3 frog children, which is not aligned with the correct golden answer of 15. \n\nThe model answer and the golden answer do not align. The correctness score: [[0]]."]}
0
0
[687]
[]
[' Finn anatazama watoto 11 wa chura wakiogelea katika kidimbwi.\n Ghafla anaona 6 wakitoka mafichoni chini ya yungiyungi, na kisha 2 kati yao wanajificha chini ya mwamba.\n Ghafla anaona 6 + 2 = 8 wakito.\n Finn kwa sasa anaweza kuona watoto 11 - 8 = 3 wa chura kwenye kidimbwi.\n Finn kwa sasa anaweza kuona watoto 3 wa chura kwenye kidimbwi.']
{'question': 'Finn anatazama watoto 11 wa chura wakiogelea katika kidimbwi. Ghafla anaona 6 wakitoka mafichoni chini ya yungiyungi, na kisha 2 kati yao wanajificha chini ya mwamba. Finn kwa sasa anaweza kuona watoto wangapi wa chura kwenye kidimbwi?'}
[0]
['100']
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Question: Josie anapanda zabibu kwenye shamba lake la ekari 10. Kila ekari huzalisha tani 5 za zabibu kila mwaka, na kila tani ya zabibu hutengeneza mitungi 2 ya divai. Shamba lake huzalisha mitungi mingapi ya mvinyo kwa mwaka? Answer:
Question: Josie anapanda zabibu kwenye shamba lake la ekari 10. Kila ekari huzalisha tani 5 za zabibu kila mwaka, na kila tani ya zabibu hutengeneza mitungi 2 ya divai. Shamba lake huzalisha mitungi mingapi ya mvinyo kwa mwaka? Answer:
[]
[0]
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36040, 5568, 82590, 73259, 2113, 13835, 24039, 6577, 78, 597, 10196, 53910, 13637, 1980, 262, 22559, 512, 257], device='cuda:0')]
{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Josie anapanda zabibu kwenye shamba lake la ekari 10. Kila ekari huzalisha tani 5 za zabibu kila mwaka, na kila tani ya zabibu hutengeneza mitungi 2 ya divai. Shamba lake huzalisha mitungi mingapi ya mvinyo kwa mwaka?\nGolden Answer: 100\nModel\'s Answer: Kila ekari huzalisha tani 5 za zabibu kila mwaka.\n Kila tani ya zabibu hutengeneza mitungi 2 ya divai.\n Shamba lake la ekari 10, kila ekari 5 (tani 5) na kila tani 2 (mitungi 2) ya zabibu.\n Kila ekari 5 na kila tani 2 ya zabibu kila mwaka, shamba lake la ekari 10, kila ekari 5 (tani 5) na kila tani 2 (mitungi 2) ya zabibu.\n Kila ekari 5 na kila tani 2 ya zabibu kila mwaka, shamba lake la ekari 10, kila ekari 5 (tani 5) na kila tani 2 (mitungi 2) ya zabibu.\n Kila ekari 5 na kila tani 2 ya zabibu kila mwaka, shamba lake la ekari 10, kila ekari 5 (tani 5) na kila tani 2 (mitungi 2) ya zabibu.\n Kila ekari 5 na kila tani 2 ya zabibu kila mwaka, shamba lake la ekari 10, kila ekari 5 (tani 5) na kila tani 2 (mitungi 2) ya zabibu.\n Kila ekari 5 na kila tani 2 ya zabibu kila mwaka, shamba lake la ekari 10, kila ekari 5 (tani 5) na kila tani 2 (mitungi 2) ya zabibu.\n Kila ekari 5 na kila tani 2 ya zabibu kila mwaka, shamba lake la ekari 10, kila ekari 5 (tani 5) na kila tani 2 (mitungi 2) ya zabibu.\n Kila ekari 5 na kila tani 2 ya zabibu kila mwaka, shamba lake la ekari 10, kila ekari 5 (tani 5) na kila tani 2 (mitungi 2) ya zabibu.\n Kila ekari 5 na kila tani 2\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The question asks for the number of barrels of wine Josie's vineyard produces each year. With 10 acres each producing 5 tons of grapes, resulting in 2 barrels per ton, the correct calculation should result in 100 barrels (10 acres * 5 tons/acre * 2 barrels/ton = 100 barrels). The model's answer fails to clearly perform this calculation and instead repeats parts of the problem statement without concluding with the correct computation or answer. Therefore, the model's answer does not align with the golden answer of 100. \n\nThe score: [[0]]."]}
0
0
[699]
[]
[' Kila ekari huzalisha tani 5 za zabibu kila mwaka.\n Kila tani ya zabibu hutengeneza mitungi 2 ya divai.\n Shamba lake la ekari 10, kila ekari 5 (tani 5) na kila tani 2 (mitungi 2) ya zabibu.\n Kila ekari 5 na kila tani 2 ya zabibu kila mwaka, shamba lake la ekari 10, kila ekari 5 (tani 5) na kila tani 2 (mitungi 2) ya zabibu.\n Kila ekari 5 na kila tani 2 ya zabibu kila mwaka, shamba lake la ekari 10, kila ekari 5 (tani 5) na kila tani 2 (mitungi 2) ya zabibu.\n Kila ekari 5 na kila tani 2 ya zabibu kila mwaka, shamba lake la ekari 10, kila ekari 5 (tani 5) na kila tani 2 (mitungi 2) ya zabibu.\n Kila ekari 5 na kila tani 2 ya zabibu kila mwaka, shamba lake la ekari 10, kila ekari 5 (tani 5) na kila tani 2 (mitungi 2) ya zabibu.\n Kila ekari 5 na kila tani 2 ya zabibu kila mwaka, shamba lake la ekari 10, kila ekari 5 (tani 5) na kila tani 2 (mitungi 2) ya zabibu.\n Kila ekari 5 na kila tani 2 ya zabibu kila mwaka, shamba lake la ekari 10, kila ekari 5 (tani 5) na kila tani 2 (mitungi 2) ya zabibu.\n Kila ekari 5 na kila tani 2 ya zabibu kila mwaka, shamba lake la ekari 10, kila ekari 5 (tani 5) na kila tani 2 (mitungi 2) ya zabibu.\n Kila ekari 5 na kila tani 2']
{'question': 'Josie anapanda zabibu kwenye shamba lake la ekari 10. Kila ekari huzalisha tani 5 za zabibu kila mwaka, na kila tani ya zabibu hutengeneza mitungi 2 ya divai. Shamba lake huzalisha mitungi mingapi ya mvinyo kwa mwaka?'}
[0]
['72']
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Question: John ana maboksi 3. Kila boksi ni la inchi 5 kwa inchi 6 kwa inchi 4. Kuta zina unene wa inchi 1. Jumla ya nafasi ya ndani ya visanduku vyote 3 ni ngapi? Answer:
Question: John ana maboksi 3. Kila boksi ni la inchi 5 kwa inchi 6 kwa inchi 4. Kuta zina unene wa inchi 1. Jumla ya nafasi ya ndani ya visanduku vyote 3 ni ngapi? Answer:
[]
[0]
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5676, 13835, 2145, 438, 36834, 46359, 1295, 220, 18, 13080, 7933, 2113, 1980, 262, 22559, 512, 257], device='cuda:0')]
{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: John ana maboksi 3. Kila boksi ni la inchi 5 kwa inchi 6 kwa inchi 4. Kuta zina unene wa inchi 1. Jumla ya nafasi ya ndani ya visanduku vyote 3 ni ngapi?\nGolden Answer: 72\nModel\'s Answer: Kila boksi ni la inchi 5 kwa inchi 6 kwa inchi 4.\n Nafasi ya boksi 1 = 5 * 6 * 4 = 30 * 4 = 120 inchi.\n Nafasi ya boksi 2 = 5 * 6 * 4 = 30 * 4 = 120 inchi.\n Nafasi ya boksi 3 = 5 * 6 * 4 = 30 * 4 = 120 inchi.\n Jumla nafasi ya boksi 3 = 120 + 120 + 120 = 240 + 120 = 360 inchi.\n Kuta zina unene wa inchi 1.\n Jumla nafasi ya ndani ya visanduku 3 = 360 + 1 = 361 inchi.\n Jumla nafasi ya ndani ya visanduku 3 = 361 inchi.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's answer provides a calculation for the total volume of the boxes, but it incorrectly calculates both the volume of a single box and the total volume of all three boxes. The correct approach would subtract the volume occupied by the thickness of the walls from the total exterior volume of the boxes, not add to it. The golden answer, 72 cubic inches, likely accounts for this adjustment. The model's approach is logically flawed and results in a substantially incorrect total volume. The model's answer does not match the golden answer; thus, the model's answer is incorrect.\n\nScore: [[0]]"]}
0
0
[709]
[]
[' Kila boksi ni la inchi 5 kwa inchi 6 kwa inchi 4.\n Nafasi ya boksi 1 = 5 * 6 * 4 = 30 * 4 = 120 inchi.\n Nafasi ya boksi 2 = 5 * 6 * 4 = 30 * 4 = 120 inchi.\n Nafasi ya boksi 3 = 5 * 6 * 4 = 30 * 4 = 120 inchi.\n Jumla nafasi ya boksi 3 = 120 + 120 + 120 = 240 + 120 = 360 inchi.\n Kuta zina unene wa inchi 1.\n Jumla nafasi ya ndani ya visanduku 3 = 360 + 1 = 361 inchi.\n Jumla nafasi ya ndani ya visanduku 3 = 361 inchi.']
{'question': 'John ana maboksi 3. Kila boksi ni la inchi 5 kwa inchi 6 kwa inchi 4. Kuta zina unene wa inchi 1. Jumla ya nafasi ya ndani ya visanduku vyote 3 ni ngapi?'}
[0]
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Question: Carl ananunua vifurushi kumi vya biskuti. Kila kifurushi cha biskuti kina biskuti sita ndani yake. Kila biskuti inagharimu $0.10. Carl atarudushiwa pesa ngapi iwapo atalipa kwa kutumia noti ya $10? Answer:
Question: Carl ananunua vifurushi kumi vya biskuti. Kila kifurushi cha biskuti kina biskuti sita ndani yake. Kila biskuti inagharimu $0.10. Carl atarudushiwa pesa ngapi iwapo atalipa kwa kutumia noti ya $10? Answer:
[]
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31699, 372, 689, 539, 72, 13835, 400, 605, 1980, 262, 22559, 512, 257], device='cuda:0')]
{'judge_score_gpt-4o': 1, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Carl ananunua vifurushi kumi vya biskuti. Kila kifurushi cha biskuti kina biskuti sita ndani yake. Kila biskuti inagharimu $0.10. Carl atarudushiwa pesa ngapi iwapo atalipa kwa kutumia noti ya $10?\nGolden Answer: 4\nModel\'s Answer: Carl ananunua kumi vifurushi kya biskuti, kila kifurushi kina biskuti sita.\n Kila biskuti inagharimu $0.10.\n Kila kifurushi kina biskuti sita inagharimu $0.10 * 6 = $0.60.\n Kumi vifurushi kya biskuti inagharimu $0.60 * 10 = $6.\n Carl atarudushiwa $10.\n Carl atalipa $10 - $6 = $4.\n Carl atalipa $4.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's answer calculates the total cost of cookies as $6, after determining that 10 packages contain a total of 60 cookies, each costing $0.10. The total is then subtracted from the $10 used to pay, resulting in $4 returned, which matches the golden answer. The steps in the model's answer align perfectly with the problem's requirements, leading to the correct conclusion.\n\nThe model and the groundtruth answer are the same. The score: [[1]]"]}
0
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[696]
[]
[' Carl ananunua kumi vifurushi kya biskuti, kila kifurushi kina biskuti sita.\n Kila biskuti inagharimu $0.10.\n Kila kifurushi kina biskuti sita inagharimu $0.10 * 6 = $0.60.\n Kumi vifurushi kya biskuti inagharimu $0.60 * 10 = $6.\n Carl atarudushiwa $10.\n Carl atalipa $10 - $6 = $4.\n Carl atalipa $4.']
{'question': 'Carl ananunua vifurushi kumi vya biskuti. Kila kifurushi cha biskuti kina biskuti sita ndani yake. Kila biskuti inagharimu $0.10. Carl atarudushiwa pesa ngapi iwapo atalipa kwa kutumia noti ya $10?'}
[0]
['5600']
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Question: Jumatatu, Sue alikula biskuti mara 4 zaidi ya dadake. Jumanne, alikula biskuti mara mbili zaidi ya dadake. Dadake alikula biskuti 5 Jumatatu na 13 siku iliyofuata. Ikiwa biskuti 1 ina kalori 200, Sue alikula kalori ngapi zaidi ya dadake? Answer:
Question: Jumatatu, Sue alikula biskuti mara 4 zaidi ya dadake. Jumanne, alikula biskuti mara mbili zaidi ya dadake. Dadake alikula biskuti 5 Jumatatu na 13 siku iliyofuata. Ikiwa biskuti 1 ina kalori 200, Sue alikula kalori ngapi zaidi ya dadake? Answer:
[]
[0]
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731, 1980, 262, 22559, 512, 257], device='cuda:0')]
{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Jumatatu, Sue alikula biskuti mara 4 zaidi ya dadake. Jumanne, alikula biskuti mara mbili zaidi ya dadake. Dadake alikula biskuti 5 Jumatatu na 13 siku iliyofuata. Ikiwa biskuti 1 ina kalori 200, Sue alikula kalori ngapi zaidi ya dadake?\nGolden Answer: 5600\nModel\'s Answer: Jumatatu, Sue alikula biskuti mara 4 zaidi ya dadake. \n Jumanne, alikula biskuti mara mbili zaidi ya dadake. \n Dadake alikula biskuti 5 Jumatatu na 13 siku iliyofuata. \n Jumatatu, 5 * 4 = 20 biskuti alikula. \n Jumanne, 13 * 2 = 26 biskuti alikula. \n Jumatatu, 20 * 200 = 4000 kalori alikula. \n Jumanne, 26 * 200 = 5200 kalori alikula. \n 5200 - 4000 = 1200 kalori zaidi ya dadake. \n Sue alikula kalori 1200 zaidi ya dadake.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["In this problem, we are asked to find out how many more calories Sue ate compared to her sister. According to the information given:\n\n- On Monday, Sue ate 4 times the number of biscuits her sister did. Her sister ate 5 biscuits, so Sue ate 5 * 4 = 20 biscuits. This equals 20 * 200 = 4000 calories.\n- On Tuesday, Sue ate 2 times the number of biscuits her sister did. Her sister ate 13 biscuits, so Sue ate 13 * 2 = 26 biscuits. This equals 26 * 200 = 5200 calories.\n\nThe golden answer calculated the total calorie difference over the two days: Sue ate (20 + 26) * 200 = 9200 calories, while her sister ate (5 + 13) * 200 = 3600 calories. The difference is 9200 - 3600 = 5600 calories.\n\nThe model calculated the calorie difference incorrectly by subtracting the calories eaten on Tuesday from those eaten on Monday, rather than calculating the total difference over both days. Thus, the model's result of 1200 calories as the difference is incorrect.\n\nThe model answer and the golden answer do not align. The correctness score: [[0]]."]}
0
0
[679]
[]
[' Jumatatu, Sue alikula biskuti mara 4 zaidi ya dadake. \n Jumanne, alikula biskuti mara mbili zaidi ya dadake. \n Dadake alikula biskuti 5 Jumatatu na 13 siku iliyofuata. \n Jumatatu, 5 * 4 = 20 biskuti alikula. \n Jumanne, 13 * 2 = 26 biskuti alikula. \n Jumatatu, 20 * 200 = 4000 kalori alikula. \n Jumanne, 26 * 200 = 5200 kalori alikula. \n 5200 - 4000 = 1200 kalori zaidi ya dadake. \n Sue alikula kalori 1200 zaidi ya dadake.']
{'question': 'Jumatatu, Sue alikula biskuti mara 4 zaidi ya dadake. Jumanne, alikula biskuti mara mbili zaidi ya dadake. Dadake alikula biskuti 5 Jumatatu na 13 siku iliyofuata. Ikiwa biskuti 1 ina kalori 200, Sue alikula kalori ngapi zaidi ya dadake?'}
[0]
['800']
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Question: John ananunua tai nyekundu mara mbili zaidi ya tai za buluu. Bei ya tai nyekundu ni 50% zaidi ya bei ya tai za buluu. Alitumia $200 kununua tai za buluu ambazo zinauzwa $40 kila moja. Alitumia pesa ngapi kununua tai? Answer:
Question: John ananunua tai nyekundu mara mbili zaidi ya tai za buluu. Bei ya tai nyekundu ni 50% zaidi ya bei ya tai za buluu. Alitumia $200 kununua tai za buluu ambazo zinauzwa $40 kila moja. Alitumia pesa ngapi kununua tai? Answer:
[]
[0]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: John ananunua tai nyekundu mara mbili zaidi ya tai za buluu. Bei ya tai nyekundu ni 50% zaidi ya bei ya tai za buluu. Alitumia $200 kununua tai za buluu ambazo zinauzwa $40 kila moja. Alitumia pesa ngapi kununua tai?\nGolden Answer: 800\nModel\'s Answer: John ananunua tai nyekundu mara mbili zaidi ya tai za buluu.\n Alitumia $200 kununua tai za buluu.\n Alitumia $40 kila moja kununua 5 tai za buluu.\n John ananunua 2 * 5 = 10 tai nyekundu.\n Alitumia $50% zaidi ya $40 kila moja kununua 10 tai nyekundu.\n $50% zaidi ya $40 kila moja ni $40 * 50 / 100 = 2000 / 100 = $20 kila moja.\n John ananunua 10 * $20 = $200 kununua tai nyekundu.\n Alitumia $200 + $200 = $400 kununua tai.\n John ananunua $400 kununua tai.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["Upon examining the model's answer, I observe several steps and calculations made in response to the question:\n\n1. The model correctly identifies that John bought 5 blue ties, using the fact that he spent $200 on blue ties priced at $40 each.\n2. The model calculates that John purchased 10 red ties, which is correct since red ties are bought in double the quantity of blue ties.\n3. However, the calculation of the price for each red tie is incorrect in the model's response. The model states that the price of a red tie is 50% more than $40, which should be $40 + (50% of $40) = $40 + $20 = $60. Instead, the model incorrectly uses $20 as the price increase amount resulting in $20 for each red tie.\n4. Subsequently, the model's total expenditure for red ties and the final total are both incorrect. The correct calculations should be 10 red ties at $60 each, costing $600, plus the $200 already spent on blue ties, summing to $800. \n\nThe golden answer provided is 800, while the model outputs a total of 400. The model's answer is incorrect. The score is: [[0]]."]}
0
0
[692]
[]
[' John ananunua tai nyekundu mara mbili zaidi ya tai za buluu.\n Alitumia $200 kununua tai za buluu.\n Alitumia $40 kila moja kununua 5 tai za buluu.\n John ananunua 2 * 5 = 10 tai nyekundu.\n Alitumia $50% zaidi ya $40 kila moja kununua 10 tai nyekundu.\n $50% zaidi ya $40 kila moja ni $40 * 50 / 100 = 2000 / 100 = $20 kila moja.\n John ananunua 10 * $20 = $200 kununua tai nyekundu.\n Alitumia $200 + $200 = $400 kununua tai.\n John ananunua $400 kununua tai.']
{'question': 'John ananunua tai nyekundu mara mbili zaidi ya tai za buluu. Bei ya tai nyekundu ni 50% zaidi ya bei ya tai za buluu. Alitumia $200 kununua tai za buluu ambazo zinauzwa $40 kila moja. Alitumia pesa ngapi kununua tai?'}
[0]
['4']
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Question: Jerry ana kundi la kuku. Kuku wekundu huzalisha mayai 3 kwa siku, na kuku weupe huzalisha mayai 5 kwa siku. Kila siku Jerry hukusanya mayai 42. Ikiwa ana kuku weupe wawili zaidi ya wekundu, ana kuku wekundu wangapi? Answer:
Question: Jerry ana kundi la kuku. Kuku wekundu huzalisha mayai 3 kwa siku, na kuku weupe huzalisha mayai 5 kwa siku. Kila siku Jerry hukusanya mayai 42. Ikiwa ana kuku weupe wawili zaidi ya wekundu, ana kuku wekundu wangapi? Answer:
[]
[0]
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584, 74, 1263, 84, 98044, 2113, 1980, 262, 22559, 512, 257], device='cuda:0')]
{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Jerry ana kundi la kuku. Kuku wekundu huzalisha mayai 3 kwa siku, na kuku weupe huzalisha mayai 5 kwa siku. Kila siku Jerry hukusanya mayai 42. Ikiwa ana kuku weupe wawili zaidi ya wekundu, ana kuku wekundu wangapi?\nGolden Answer: 4\nModel\'s Answer: Jerry hukusanya mayai 42 kila siku.\n Kuku wekundu huzalisha mayai 3 kwa siku, kuku weupe huzalisha mayai 5 kwa siku.\n Ikiwa ana kuku weupe wawili zaidi ya wekundu, kuku wekundu hukusanya 42 - 5 = 37 mayai kwa siku.\n Kuku wekundu hukusanya 37 * 3 = 111 mayai kwa siku.\n Ikiwa kuku wekundu hukusanya 111 mayai kwa siku, Jerry ana kuku wekundu 37.\n\n37.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's answer involves an incorrect mathematical process in determining the number of red chickens (kuku wekundu). The model incorrectly subtracted 5 from the total daily egg collection (42) and then engaged in further incorrect calculations, leading to the incorrect conclusion that there are 37 red chickens. Conversely, the golden answer states there should be 4 red chickens. Since the model's procedures and final answer do not align with the golden answer, the correctness score is: [[0]]."]}
0
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[689]
[]
[' Jerry hukusanya mayai 42 kila siku.\n Kuku wekundu huzalisha mayai 3 kwa siku, kuku weupe huzalisha mayai 5 kwa siku.\n Ikiwa ana kuku weupe wawili zaidi ya wekundu, kuku wekundu hukusanya 42 - 5 = 37 mayai kwa siku.\n Kuku wekundu hukusanya 37 * 3 = 111 mayai kwa siku.\n Ikiwa kuku wekundu hukusanya 111 mayai kwa siku, Jerry ana kuku wekundu 37.\n\n37.']
{'question': 'Jerry ana kundi la kuku. Kuku wekundu huzalisha mayai 3 kwa siku, na kuku weupe huzalisha mayai 5 kwa siku. Kila siku Jerry hukusanya mayai 42. Ikiwa ana kuku weupe wawili zaidi ya wekundu, ana kuku wekundu wangapi?'}
[0]
['1210']
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Question: Jake anatembea kwenye Jumba la Makumbusho ya Entomolojia. Anaona buibui 80 walio na miguu 8 kila moja, wadudu 90 walio na miguu 6 kila moja, na wanyama 3 wasio wa kawaida ambao wana miguu 10 kila mmoja. Jake anaona miguu mingapi kwa jumla? Answer:
Question: Jake anatembea kwenye Jumba la Makumbusho ya Entomolojia. Anaona buibui 80 walio na miguu 8 kila moja, wadudu 90 walio na miguu 6 kila moja, na wanyama 3 wasio wa kawaida ambao wana miguu 10 kila mmoja. Jake anaona miguu mingapi kwa jumla? Answer:
[]
[0]
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262, 22559, 512, 257], device='cuda:0')]
{'judge_score_gpt-4o': 1, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Jake anatembea kwenye Jumba la Makumbusho ya Entomolojia. Anaona buibui 80 walio na miguu 8 kila moja, wadudu 90 walio na miguu 6 kila moja, na wanyama 3 wasio wa kawaida ambao wana miguu 10 kila mmoja. Jake anaona miguu mingapi kwa jumla?\nGolden Answer: 1210\nModel\'s Answer: - Buibui: 80 * 8 = 640 miguu\n - Wadudu: 90 * 6 = 540 miguu\n - Wanyama: 3 * 10 = 30 miguu\n\nMiguu jumla = 640 + 540 + 30 = 1180 + 30 = 1210\n\nJake anaona miguu 1210 kwa jumla.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's answer correctly calculates the total number of legs by adding the legs of spiders, insects, and unusual animals. The calculations are clear and the final summation amounts to 1210, which matches the golden answer.\n\nThe model and the groundtruth answer are the same. The score: [[1]]"]}
0
0
[676]
[]
[' - Buibui: 80 * 8 = 640 miguu\n - Wadudu: 90 * 6 = 540 miguu\n - Wanyama: 3 * 10 = 30 miguu\n\nMiguu jumla = 640 + 540 + 30 = 1180 + 30 = 1210\n\nJake anaona miguu 1210 kwa jumla.']
{'question': 'Jake anatembea kwenye Jumba la Makumbusho ya Entomolojia. Anaona buibui 80 walio na miguu 8 kila moja, wadudu 90 walio na miguu 6 kila moja, na wanyama 3 wasio wa kawaida ambao wana miguu 10 kila mmoja. Jake anaona miguu mingapi kwa jumla?'}
[0]
['100']
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Question: Iwapo Raymond hufua nguo nusu ya kiwango ambacho Sarah hufua, na Sarah hufua nguo mara 4 zaidi ya David, piga hesabu ya tofauti katika kiwango cha nguo ambazo Raymond na David hufua Sarah akifua pauni 400 za nguo. Answer:
Question: Iwapo Raymond hufua nguo nusu ya kiwango ambacho Sarah hufua, na Sarah hufua nguo mara 4 zaidi ya David, piga hesabu ya tofauti katika kiwango cha nguo ambazo Raymond na David hufua Sarah akifua pauni 400 za nguo. Answer:
[]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Iwapo Raymond hufua nguo nusu ya kiwango ambacho Sarah hufua, na Sarah hufua nguo mara 4 zaidi ya David, piga hesabu ya tofauti katika kiwango cha nguo ambazo Raymond na David hufua Sarah akifua pauni 400 za nguo.\nGolden Answer: 100\nModel\'s Answer: David hufua nguo 400.\n Sarah hufua nguo mara 4 zaidi ya David, piga 4 * 400 = 1600.\n Raymond hufua nguo nusu ya kiwango ambacho Sarah hufua, piga 1600 / 2 = 800.\n Tofauti katika kiwango cha nguo ambazo Raymond na David hufua Sarah akifua 1600 - 800 = 800.\n\n800.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The question states that Sarah washes 400 pounds of clothes, and the task is to calculate the difference in the amount of clothes washed by Raymond and David, given the provided relationships. The model's process seems flawed. According to the question: \n\n1. Sarah washes 400 pounds of clothes.\n2. The model incorrectly assumes David washes 400 pounds, but the question specifies Sarah washes four times as much as David. Therefore, David should wash 400 / 4 = 100 pounds.\n3. Raymond washes half the amount of Sarah's clothes, which is 400 / 2 = 200 pounds.\n4. Thus, the difference between Raymond (200 pounds) and David (100 pounds) is 100 pounds.\n\nThe correct difference aligns with the golden answer of 100, while the model erroneously calculated David's amount as well as the difference at 800 pounds. The model did not arrive at the correct answer; therefore, it does not match the golden answer.\n\nScore: [[0]]"]}
0
0
[700]
[]
[' David hufua nguo 400.\n Sarah hufua nguo mara 4 zaidi ya David, piga 4 * 400 = 1600.\n Raymond hufua nguo nusu ya kiwango ambacho Sarah hufua, piga 1600 / 2 = 800.\n Tofauti katika kiwango cha nguo ambazo Raymond na David hufua Sarah akifua 1600 - 800 = 800.\n\n800.']
{'question': 'Iwapo Raymond hufua nguo nusu ya kiwango ambacho Sarah hufua, na Sarah hufua nguo mara 4 zaidi ya David, piga hesabu ya tofauti katika kiwango cha nguo ambazo Raymond na David hufua Sarah akifua pauni 400 za nguo.'}
[0]
['15']
[[tensor([ 9538, 84, 13835, 597, 438, 10018, 3900, 12333, 4458, 296, 12333, 13028, 220, 1313, 627, 257, 14916, 819, 17872, 296, 12333, 13028, 220, 23, 289, 1394, 12558, 13835, 289, 8115, 454, 1295, 4458, 627, 257, 468, 8115, 454, 1295, 4458, 296, 12333, 13028, 220, 1313, 482, 220, 23, 284, 220, 975, 627, 257, 14916, 819, 17872, 296, 12333, 13028, 220, 975, 13, 128009], device='cuda:0')]]
Question: Timu ya kandanda ilicheza michezo 22. Walishinda michezo 8 wazidi ya waliopoteza. Walishinda michezo mingapi? Answer:
Question: Timu ya kandanda ilicheza michezo 22. Walishinda michezo 8 wazidi ya waliopoteza. Walishinda michezo mingapi? Answer:
[]
[0]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Timu ya kandanda ilicheza michezo 22. Walishinda michezo 8 wazidi ya waliopoteza. Walishinda michezo mingapi?\nGolden Answer: 15\nModel\'s Answer: Timu ya kandanda ilicheza michezo 22.\n Walishinda michezo 8 wazidi ya waliopoteza.\n Waliopoteza michezo 22 - 8 = 14.\n Walishinda michezo 14.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The question asks how many games a football team won, given that they played 22 games and won 8 more games than they lost. The model begins correctly with the known data but makes an error in its calculation. It calculates that the number of lost games is 14. However, this is incorrect. If they won 8 more games than they lost, the equation should be x + (x + 8) = 22, where x is the number of lost games.\n\nSolving x + x + 8 = 22 gives 2x + 8 = 22, so 2x = 14, resulting in x = 7. Therefore, the team lost 7 games, and they won 7 + 8 = 15 games. Thus, the correct answer should be 15, not 14 as per the model's response.\n\nModel's answer does not match the golden answer. Score: [[0]]."]}
0
0
[734]
[]
[' Timu ya kandanda ilicheza michezo 22.\n Walishinda michezo 8 wazidi ya waliopoteza.\n Waliopoteza michezo 22 - 8 = 14.\n Walishinda michezo 14.']
{'question': 'Timu ya kandanda ilicheza michezo 22. Walishinda michezo 8 wazidi ya waliopoteza. Walishinda michezo mingapi?'}
[0]
['10']
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Question: John hukimbia maili 60 kwa wiki. Huwa anakimbia siku 3 kwa wiki. Huwa anakimbia saa 3 siku ya kwanza na nusu ya kiasi hicho kwa siku nyingine mbili anazokimbia. Huwa anakimbia kwa kasi gani? Answer:
Question: John hukimbia maili 60 kwa wiki. Huwa anakimbia siku 3 kwa wiki. Huwa anakimbia saa 3 siku ya kwanza na nusu ya kiasi hicho kwa siku nyingine mbili anazokimbia. Huwa anakimbia kwa kasi gani? Answer:
[]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: John hukimbia maili 60 kwa wiki. Huwa anakimbia siku 3 kwa wiki. Huwa anakimbia saa 3 siku ya kwanza na nusu ya kiasi hicho kwa siku nyingine mbili anazokimbia. Huwa anakimbia kwa kasi gani?\nGolden Answer: 10\nModel\'s Answer: John hukimbia maili 60 kwa wiki.\n Huwa anakimbia siku 3 kwa wiki.\n Huwa anakimbia saa 3 siku ya kwanza na nusu ya kiasi hicho kwa siku nyingine mbili anazokimbia.\n Nusu ya kiasi hicho kwa siku nyingine mbili anazokimbia ni 3/2 * 2 = 6/2 = 3 siku.\n John hukimbia 3 siku ya kwanza na 3 siku nyingine, kwa kasi gani 6 siku.\n Kwa kasi gani, John hukimbia 60 * 6 = 360 maili.\n Kwa kasi gani, John hukimbia 360 maili.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's answer involves several misinterpretations of the problem statement. It incorrectly calculates the total hours run per week and mistakenly multiplies rather than averages or divides to find the speed. The golden answer is 10, which implies the calculation for the running speed per hour should result in 10 miles per hour. The model's process does not correctly derive this speed, and thus the answers do not align.\n\nThe score: [[0]]"]}
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[700]
[]
[' John hukimbia maili 60 kwa wiki.\n Huwa anakimbia siku 3 kwa wiki.\n Huwa anakimbia saa 3 siku ya kwanza na nusu ya kiasi hicho kwa siku nyingine mbili anazokimbia.\n Nusu ya kiasi hicho kwa siku nyingine mbili anazokimbia ni 3/2 * 2 = 6/2 = 3 siku.\n John hukimbia 3 siku ya kwanza na 3 siku nyingine, kwa kasi gani 6 siku.\n Kwa kasi gani, John hukimbia 60 * 6 = 360 maili.\n Kwa kasi gani, John hukimbia 360 maili.']
{'question': 'John hukimbia maili 60 kwa wiki. Huwa anakimbia siku 3 kwa wiki. Huwa anakimbia saa 3 siku ya kwanza na nusu ya kiasi hicho kwa siku nyingine mbili anazokimbia. Huwa anakimbia kwa kasi gani?'}
[0]
['80']
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Question: Blake na Kelly wanashindana ili anayeweza kukimbia zaidi kwa dakika 15. Wameamua kushindana katika uwanja wa kandanda ulio na urefu wa yadi 100. Blake anakimbia kwenda na kurudi mara 15. Kelly anakimbia kwenda na kurudi mara moja, na kisha anaamua kuwa hataki kukimbia kando ya Blake, hivyo anaanza kukimbia kwenda kwa mstari wa yadi 40 kwenda na kurudi. Anafanya hii mara 34. Mshindi alikimbia umbali gani zaidi ya aliyeshindwa? Answer:
Question: Blake na Kelly wanashindana ili anayeweza kukimbia zaidi kwa dakika 15. Wameamua kushindana katika uwanja wa kandanda ulio na urefu wa yadi 100. Blake anakimbia kwenda na kurudi mara 15. Kelly anakimbia kwenda na kurudi mara moja, na kisha anaamua kuwa hataki kukimbia kando ya Blake, hivyo anaanza kukimbia kwenda kwa mstari wa yadi 40 kwenda na kurudi. Anafanya hii mara 34. Mshindi alikimbia umbali gani zaidi ya aliyeshindwa? Answer:
[]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Blake na Kelly wanashindana ili anayeweza kukimbia zaidi kwa dakika 15. Wameamua kushindana katika uwanja wa kandanda ulio na urefu wa yadi 100. Blake anakimbia kwenda na kurudi mara 15. Kelly anakimbia kwenda na kurudi mara moja, na kisha anaamua kuwa hataki kukimbia kando ya Blake, hivyo anaanza kukimbia kwenda kwa mstari wa yadi 40 kwenda na kurudi. Anafanya hii mara 34. Mshindi alikimbia umbali gani zaidi ya aliyeshindwa?\nGolden Answer: 80\nModel\'s Answer: Blake anakimbia kwenda na kurudi mara 15, kwa yadi 100, na kisha anaamua kuwa hataki kukimbia kando ya Blake, hivyo anaanza kukimbia kwenda kwa mstari wa yadi 40 kwenda na kurudi. \n Kelly anakimbia kwenda na kurudi mara 34, kwa yadi 40, na kisha anaamua kuwa hataki kukimbia kando ya Blake, hivyo anaanza kukimbia kwenda kwa mstari wa yadi 40 kwenda na kurudi.\n Mshindi alikimbia yadi 100 - 40 = 60 zaidi.\n Mshindi alikimbia yadi 60 zaidi.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The question requires calculating the net difference in the distance run between Blake and Kelly, with Blake running back and forth 15 times on a 100-yard field and Kelly running initially back and forth once on the same field (100 yards) before switching to a 40-yard field and running back and forth 34 times.\n\nLet's calculate:\n\n- Blake's distance: \\(15 \\times 2 \\times 100 = 3000\\) yards.\n- Kelly's initial distance on the 100-yard field: \\(1 \\times 2 \\times 100 = 200\\) yards.\n- Kelly's additional distance on the 40-yard field: \\(34 \\times 2 \\times 40 = 2720\\) yards.\n- Total distance for Kelly: \\(200 + 2720 = 2920\\) yards.\n- Difference in distance: \\(3000 - 2920 = 80\\) yards.\n\nThe model's explanation contains errors in understanding and calculations, ultimately concluding a 60-yard difference, which is incorrect. Thus, the model's answer does not align with the golden answer of 80 yards.\n\nThe correctness score: [[0]]."]}
0
0
[620]
[]
[' Blake anakimbia kwenda na kurudi mara 15, kwa yadi 100, na kisha anaamua kuwa hataki kukimbia kando ya Blake, hivyo anaanza kukimbia kwenda kwa mstari wa yadi 40 kwenda na kurudi. \n Kelly anakimbia kwenda na kurudi mara 34, kwa yadi 40, na kisha anaamua kuwa hataki kukimbia kando ya Blake, hivyo anaanza kukimbia kwenda kwa mstari wa yadi 40 kwenda na kurudi.\n Mshindi alikimbia yadi 100 - 40 = 60 zaidi.\n Mshindi alikimbia yadi 60 zaidi.']
{'question': 'Blake na Kelly wanashindana ili anayeweza kukimbia zaidi kwa dakika 15. Wameamua kushindana katika uwanja wa kandanda ulio na urefu wa yadi 100. Blake anakimbia kwenda na kurudi mara 15. Kelly anakimbia kwenda na kurudi mara moja, na kisha anaamua kuwa hataki kukimbia kando ya Blake, hivyo anaanza kukimbia kwenda kwa mstari wa yadi 40 kwenda na kurudi. Anafanya hii mara 34. Mshindi alikimbia umbali gani zaidi ya aliyeshindwa?'}
[0]
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Question: Melanie ni mfanyabiashara wa nyumba kwa nyumba. Aliuza theluthi moja ya visafishaji vyake vya kuvuta uchafu katika nyumba ya kijani, 2 zaidi kwa nyumba nyekundu, na nusu ya vilivyosalia katika nyumba ya rangi ya chungwa. Iwapo Melanie amesalia na visafishaji 5 vya kuvuta uchafu, alianza na vingapi? Answer:
Question: Melanie ni mfanyabiashara wa nyumba kwa nyumba. Aliuza theluthi moja ya visafishaji vyake vya kuvuta uchafu katika nyumba ya kijani, 2 zaidi kwa nyumba nyekundu, na nusu ya vilivyosalia katika nyumba ya rangi ya chungwa. Iwapo Melanie amesalia na visafishaji 5 vya kuvuta uchafu, alianza na vingapi? Answer:
[]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Melanie ni mfanyabiashara wa nyumba kwa nyumba. Aliuza theluthi moja ya visafishaji vyake vya kuvuta uchafu katika nyumba ya kijani, 2 zaidi kwa nyumba nyekundu, na nusu ya vilivyosalia katika nyumba ya rangi ya chungwa. Iwapo Melanie amesalia na visafishaji 5 vya kuvuta uchafu, alianza na vingapi?\nGolden Answer: 18\nModel\'s Answer: Melanie amesalia na visafishaji 5 vya kuvuta uchafu.\n 2 zaidi kwa nyumba nyekundu, na nusu ya vilivyosalia katika nyumba ya rangi ya chungwa.\n Nusu ya vilivyosalia katika nyumba ya rangi ya chungwa yake 5 / 2 = 2.5.\n 2 zaidi kwa nyumba nyekundu yake 5 + 2 = 7.\n Aliuza theluthi moja ya visafishaji katika nyumba ya kijani yake 5 / 3 = 1.666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666\nYour Judgment:\n'}], 'judgement_gpt-4o': ['The model\'s answer attempts to calculate the number of vacuum cleaners Melanie initially had but contains several errors in the calculations and logic. It incorrectly attempts to calculate the vacuum cleaners for each segment without clearly showing the relationship between them. The model\'s computations, such as "5 / 2 = 2.5," and "5 / 3 = 1.666..." do not lead logically to the conclusion nor to the correct initial count of vacuum cleaners.\n\nIn contrast, the golden answer "18" implies that Melanie started with 18 vacuum cleaners. The model\'s answer did not reach this conclusion and therefore is incorrect.\n\nThe model answer and the golden answer do not align. The correctness score: [[0]].']}
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[' Melanie amesalia na visafishaji 5 vya kuvuta uchafu.\n 2 zaidi kwa nyumba nyekundu, na nusu ya vilivyosalia katika nyumba ya rangi ya chungwa.\n Nusu ya vilivyosalia katika nyumba ya rangi ya chungwa yake 5 / 2 = 2.5.\n 2 zaidi kwa nyumba nyekundu yake 5 + 2 = 7.\n Aliuza theluthi moja ya visafishaji katika nyumba ya kijani yake 5 / 3 = 1.666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666']
{'question': 'Melanie ni mfanyabiashara wa nyumba kwa nyumba. Aliuza theluthi moja ya visafishaji vyake vya kuvuta uchafu katika nyumba ya kijani, 2 zaidi kwa nyumba nyekundu, na nusu ya vilivyosalia katika nyumba ya rangi ya chungwa. Iwapo Melanie amesalia na visafishaji 5 vya kuvuta uchafu, alianza na vingapi?'}
[0]
['114200']
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Question: John anashinda tuzo kazini. Tuzo hiyo ina zawadi ya pesa ya mara 1 ya $5000 na kuongezwa mshahara kwa 5%. Ikiwa mshahara wake wa kila wiki ni 2000 na alipata tuzo siku ya kwanza ya mwaka, alitengeneza pesa ngapi kwa jumla mwaka huo? Answer:
Question: John anashinda tuzo kazini. Tuzo hiyo ina zawadi ya pesa ya mara 1 ya $5000 na kuongezwa mshahara kwa 5%. Ikiwa mshahara wake wa kila wiki ni 2000 na alipata tuzo siku ya kwanza ya mwaka, alitengeneza pesa ngapi kwa jumla mwaka huo? Answer:
[]
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53910, 13637, 305, 24012, 1980, 262, 22559, 512, 257], device='cuda:0')]
{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: John anashinda tuzo kazini. Tuzo hiyo ina zawadi ya pesa ya mara 1 ya $5000 na kuongezwa mshahara kwa 5%. Ikiwa mshahara wake wa kila wiki ni 2000 na alipata tuzo siku ya kwanza ya mwaka, alitengeneza pesa ngapi kwa jumla mwaka huo?\nGolden Answer: 114200\nModel\'s Answer: Mshahara kwa 5% kwa $5000 ina $5000 * 5 / 100 = 25000 / 100 = 250$. \n Mshahara kwa 5% kwa 2000 ina $2000 * 5 / 100 = 10000 / 100 = 100$. \n Mshahara kwa 5% kwa 1000 ina $1000 * 5 / 100 = 5000 / 100 = 50$. \n Mshahara kwa 5% kwa 500 ina $500 * 5 / 100 = 2500 / 100 = 25$. \n Mshahara kwa 5% kwa 100 ina $100 * 5 / 100 = 500 / 100 = 5$. \n Mshahara kwa 5% kwa 50 ina $50 * 5 / 100 = 250 / 100 = 2.5$. \n Mshahara kwa 5% kwa 20 ina $20 * 5 / 100 = 100 / 100 = 1$. \n Mshahara kwa 5% kwa 10 ina $10 * 5 / 100 = 50 / 100 = 0.5$. \n Mshahara kwa 5% kwa 5 ina $5 * 5 / 100 = 25 / 100 = 0.25$. \n Mshahara kwa 5% kwa 1 ina $1 * 5 / 100 = 5 / 100 = 0.05$. \n Mshahara kwa 5% kwa 0.5 ina $0.5 * 5 / 100 = 2.5 / 100 = 0.025$. \n Mshahara kwa 5% kwa 0.1 ina $0.1 * 5 / 100 = 0.5 / 100 = 0.005$. \n Mshahara kwa 5% kwa 0.01 ina $0.01 * 5 / 100 = 0.05 / 100 = 0.0005$. \n Mshahara kwa 5% kwa 0.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The mathematics problem asks for the total earnings of John for the year after winning a $5000 one-time prize and having his weekly salary increased by 5%. His weekly salary is $2000. The golden answer, which is the total earnings, is $114200.\n\nTo calculate the total year's earnings:\n1. Calculate the one-time monetary award: $5000.\n2. Calculate the annual increase in salary: $2000 * 5% = $100 increase per week.\n3. Calculate the new weekly salary: $2000 + $100 = $2100.\n4. Calculate the annual salary with the updated weekly salary: $2100 * 52 weeks = $109200.\n5. Add the one-time prize to the annual salary: $109200 + $5000 = $114200.\n\nThe model's answer starts by incorrectly interpreting the problem, appearing to do irrelevant calculations regarding percentages without directly answering the question or coming up with the correct total of $114200. The calculations in the model's response do not lead to a feasible solution or the correct answer.\n\nHence, the model's answer does not match the golden answer. The score: [[0]]."]}
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[681]
[]
[' Mshahara kwa 5% kwa $5000 ina $5000 * 5 / 100 = 25000 / 100 = 250$. \n Mshahara kwa 5% kwa 2000 ina $2000 * 5 / 100 = 10000 / 100 = 100$. \n Mshahara kwa 5% kwa 1000 ina $1000 * 5 / 100 = 5000 / 100 = 50$. \n Mshahara kwa 5% kwa 500 ina $500 * 5 / 100 = 2500 / 100 = 25$. \n Mshahara kwa 5% kwa 100 ina $100 * 5 / 100 = 500 / 100 = 5$. \n Mshahara kwa 5% kwa 50 ina $50 * 5 / 100 = 250 / 100 = 2.5$. \n Mshahara kwa 5% kwa 20 ina $20 * 5 / 100 = 100 / 100 = 1$. \n Mshahara kwa 5% kwa 10 ina $10 * 5 / 100 = 50 / 100 = 0.5$. \n Mshahara kwa 5% kwa 5 ina $5 * 5 / 100 = 25 / 100 = 0.25$. \n Mshahara kwa 5% kwa 1 ina $1 * 5 / 100 = 5 / 100 = 0.05$. \n Mshahara kwa 5% kwa 0.5 ina $0.5 * 5 / 100 = 2.5 / 100 = 0.025$. \n Mshahara kwa 5% kwa 0.1 ina $0.1 * 5 / 100 = 0.5 / 100 = 0.005$. \n Mshahara kwa 5% kwa 0.01 ina $0.01 * 5 / 100 = 0.05 / 100 = 0.0005$. \n Mshahara kwa 5% kwa 0.']
{'question': 'John anashinda tuzo kazini. Tuzo hiyo ina zawadi ya pesa ya mara 1 ya $5000 na kuongezwa mshahara kwa 5%. Ikiwa mshahara wake wa kila wiki ni 2000 na alipata tuzo siku ya kwanza ya mwaka, alitengeneza pesa ngapi kwa jumla mwaka huo?'}
[0]
['10']
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Question: John anaagiza pizza za kushiriki na marafiki zake. Kuna marafiki 20 kwa jumla, na John anahitaji kuhakikisha kila mmoja anaweza kupata vipande 4. Pizza zinauzwa zikiwa na vipande 8 pekee. John anahitaji kuagiza Pizza ngapi? Answer:
Question: John anaagiza pizza za kushiriki na marafiki zake. Kuna marafiki 20 kwa jumla, na John anahitaji kuhakikisha kila mmoja anaweza kupata vipande 4. Pizza zinauzwa zikiwa na vipande 8 pekee. John anahitaji kuagiza Pizza ngapi? Answer:
[]
[0]
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{'judge_score_gpt-4o': 1, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: John anaagiza pizza za kushiriki na marafiki zake. Kuna marafiki 20 kwa jumla, na John anahitaji kuhakikisha kila mmoja anaweza kupata vipande 4. Pizza zinauzwa zikiwa na vipande 8 pekee. John anahitaji kuagiza Pizza ngapi?\nGolden Answer: 10\nModel\'s Answer: John anahitaji kuhakikisha kila mmoja anaweza kupata vipande 4.\n Kuna marafiki 20 kwa jumla, na kila mmoja anaweza kupata 4 vipande.\n John anahitaji kuhakikisha 20 * 4 = 80 vipande.\n Pizza zinauzwa zikiwa na vipande 8 pekee.\n John anahitaji kuhakikisha 80 / 8 = 10 pizzas.\n John anahitaji kuhakikisha 10 pizzas.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's answer correctly calculates the number of pizzas John needs to order. It first determines the total number of slices required by multiplying the number of friends (20) by the number of slices each should receive (4), resulting in 80 slices. Since each pizza contains 8 slices, the model accurately divides the total number of slices (80) by the slices per pizza (8) to find that John needs to order 10 pizzas. This matches the golden answer. Therefore, the model's answer is correct.\n\nScore: [[1]]"]}
0
0
[692]
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[' John anahitaji kuhakikisha kila mmoja anaweza kupata vipande 4.\n Kuna marafiki 20 kwa jumla, na kila mmoja anaweza kupata 4 vipande.\n John anahitaji kuhakikisha 20 * 4 = 80 vipande.\n Pizza zinauzwa zikiwa na vipande 8 pekee.\n John anahitaji kuhakikisha 80 / 8 = 10 pizzas.\n John anahitaji kuhakikisha 10 pizzas.']
{'question': 'John anaagiza pizza za kushiriki na marafiki zake. Kuna marafiki 20 kwa jumla, na John anahitaji kuhakikisha kila mmoja anaweza kupata vipande 4. Pizza zinauzwa zikiwa na vipande 8 pekee. John anahitaji kuagiza Pizza ngapi?'}
[0]
['300']
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Question: Sophia anafikiria kwenda safari kwa kutumia gari lake, na angependa kujua umbali ambao anaweza kwenda kwa tangi moja ya mafuta ya gari. Amesafiri maili 100 tangu mara ya mwisho alipojaza tangi yake, na alihitaji kuongeza galoni 4 za mafuta ya gari ili kujaza tangi yake tena. Kitabu cha mwongozo cha gari lake kinasema kuwa tangi yake inabeba galoni 12 za mafuta ya gari. Sophia anaweza kuendesha maili ngapi kwa kutumia tangi moja ya mafuta ya gari? Answer:
Question: Sophia anafikiria kwenda safari kwa kutumia gari lake, na angependa kujua umbali ambao anaweza kwenda kwa tangi moja ya mafuta ya gari. Amesafiri maili 100 tangu mara ya mwisho alipojaza tangi yake, na alihitaji kuongeza galoni 4 za mafuta ya gari ili kujaza tangi yake tena. Kitabu cha mwongozo cha gari lake kinasema kuwa tangi yake inabeba galoni 12 za mafuta ya gari. Sophia anaweza kuendesha maili ngapi kwa kutumia tangi moja ya mafuta ya gari? Answer:
[]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Sophia anafikiria kwenda safari kwa kutumia gari lake, na angependa kujua umbali ambao anaweza kwenda kwa tangi moja ya mafuta ya gari. Amesafiri maili 100 tangu mara ya mwisho alipojaza tangi yake, na alihitaji kuongeza galoni 4 za mafuta ya gari ili kujaza tangi yake tena. Kitabu cha mwongozo cha gari lake kinasema kuwa tangi yake inabeba galoni 12 za mafuta ya gari. Sophia anaweza kuendesha maili ngapi kwa kutumia tangi moja ya mafuta ya gari?\nGolden Answer: 300\nModel\'s Answer: Sophia anafikiria kwenda safari kwa kutumia gari lake, na angependa kujua umbali ambao anaweza kwenda kwa tangi moja ya mafuta ya gari.\n Amesafiri maili 100 tangu mara ya mwisho alipojaza tangi yake, na alihitaji kuongeza galoni 4 za mafuta ya gari.\n Kitabu cha mwongozo cha gari lake kinasema kuwa tangi yake inabeba galoni 12 za mafuta ya gari.\n Sophia anaweza kuendesha maili 100 / 12 = 8.33 kwa kutumia tangi moja ya mafuta ya gari.\n Sophia anaweza kuendesha maili 8.33 kwa kutumia tangi moja ya mafuta ya gari.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The question involves calculating the distance Sophia can drive with a full tank of gas. She drove 100 miles using 4 gallons, implying her car's fuel efficiency is 100 miles / 4 gallons = 25 miles per gallon. Her car's tank holds 12 gallons total, so with a full tank, she can drive 25 miles/gallon × 12 gallons = 300 miles. \n\nThe model's answer mentions a calculation error, interpreting the distance per gallon instead of considering the total capacity of the tank. It incorrectly states Sophia can drive 8.33 miles on a full tank, which does not match the golden answer of 300 miles.\n\nTherefore, the model's answer is incorrect. The correctness score: [[0]]."]}
0
0
[610]
[]
[' Sophia anafikiria kwenda safari kwa kutumia gari lake, na angependa kujua umbali ambao anaweza kwenda kwa tangi moja ya mafuta ya gari.\n Amesafiri maili 100 tangu mara ya mwisho alipojaza tangi yake, na alihitaji kuongeza galoni 4 za mafuta ya gari.\n Kitabu cha mwongozo cha gari lake kinasema kuwa tangi yake inabeba galoni 12 za mafuta ya gari.\n Sophia anaweza kuendesha maili 100 / 12 = 8.33 kwa kutumia tangi moja ya mafuta ya gari.\n Sophia anaweza kuendesha maili 8.33 kwa kutumia tangi moja ya mafuta ya gari.']
{'question': 'Sophia anafikiria kwenda safari kwa kutumia gari lake, na angependa kujua umbali ambao anaweza kwenda kwa tangi moja ya mafuta ya gari. Amesafiri maili 100 tangu mara ya mwisho alipojaza tangi yake, na alihitaji kuongeza galoni 4 za mafuta ya gari ili kujaza tangi yake tena. Kitabu cha mwongozo cha gari lake kinasema kuwa tangi yake inabeba galoni 12 za mafuta ya gari. Sophia anaweza kuendesha maili ngapi kwa kutumia tangi moja ya mafuta ya gari?'}
[0]
['70']
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Question: Gretchen ana sarafu 110. Kuna sarafu 30 za dhahabu zaidi ya sarafu za fedha. Gretchen ana sarafu ngapi za dhahabu? Answer:
Question: Gretchen ana sarafu 110. Kuna sarafu 30 za dhahabu zaidi ya sarafu za fedha. Gretchen ana sarafu ngapi za dhahabu? Answer:
[]
[0]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Gretchen ana sarafu 110. Kuna sarafu 30 za dhahabu zaidi ya sarafu za fedha. Gretchen ana sarafu ngapi za dhahabu?\nGolden Answer: 70\nModel\'s Answer: Kuna sarafu 30 za dhahabu zaidi ya sarafu za fedha.\n Gretchen ana sarafu 110.\n 110 - 30 = 80.\n Gretchen ana sarafu 80 za fedha.\n Kuna sarafu 30 za dhahabu zaidi ya sarafu za fedha.\n 80 + 30 = 110.\n Gretchen ana sarafu 110 za dhahabu.\n\nGretchen ana sarafu 110 za dhahabu.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The question asks for the number of gold coins Gretchen has, given that there are 30 more gold coins than silver coins and a total of 110 coins. \n\n- Let the number of silver coins be \\( x \\). \n- Then the number of gold coins is \\( x + 30 \\). \n- The total number of coins can be expressed as \\( x + (x + 30) = 110 \\).\n- Simplifying this, we get \\( 2x + 30 = 110 \\).\n- Thus, \\( 2x = 80 \\), leading to \\( x = 40 \\). \n- The number of gold coins, which is \\( x + 30 \\), equals 70.\n\nThe correct number of gold coins should be 70. \n\nThe model's calculations appear flawed and misleading, claiming 110 gold coins instead of the correct 70. Therefore, the model's answer does not match the golden answer.\n\nScore: [[0]]"]}
0
0
[730]
[]
[' Kuna sarafu 30 za dhahabu zaidi ya sarafu za fedha.\n Gretchen ana sarafu 110.\n 110 - 30 = 80.\n Gretchen ana sarafu 80 za fedha.\n Kuna sarafu 30 za dhahabu zaidi ya sarafu za fedha.\n 80 + 30 = 110.\n Gretchen ana sarafu 110 za dhahabu.\n\nGretchen ana sarafu 110 za dhahabu.']
{'question': 'Gretchen ana sarafu 110. Kuna sarafu 30 za dhahabu zaidi ya sarafu za fedha. Gretchen ana sarafu ngapi za dhahabu?'}
[0]
['18']
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Question: Bata wa Janet hutaga mayai 16 kila siku. Huwa anakula matatu wakati wa staftahi kila asubuhi na huokea marafiki zake mafini kila siku kwa mayai manne. Huwa anauza yaliyosalia katika soko la wakulima kila siku kwa $2 kwa kila yai la bata. Huwa anatengeneza pesa ngapi katika dola kila siku katika soko la wakulima? Answer:
Question: Bata wa Janet hutaga mayai 16 kila siku. Huwa anakula matatu wakati wa staftahi kila asubuhi na huokea marafiki zake mafini kila siku kwa mayai manne. Huwa anauza yaliyosalia katika soko la wakulima kila siku kwa $2 kwa kila yai la bata. Huwa anatengeneza pesa ngapi katika dola kila siku katika soko la wakulima? Answer:
[]
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{'judge_score_gpt-4o': 1, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Bata wa Janet hutaga mayai 16 kila siku. Huwa anakula matatu wakati wa staftahi kila asubuhi na huokea marafiki zake mafini kila siku kwa mayai manne. Huwa anauza yaliyosalia katika soko la wakulima kila siku kwa $2 kwa kila yai la bata. Huwa anatengeneza pesa ngapi katika dola kila siku katika soko la wakulima?\nGolden Answer: 18\nModel\'s Answer: Bata wa Janet hutaga mayai 16 kila siku.\n Huwa anakula matatu wakati wa staftahi kila asubuhi, na huokea marafiki zake mafini kila siku kwa mayai manne.\n Njikwa, huwa anatengeneza 16 - 3 - 4 = 13 - 4 = 9 mayai kila siku.\n Huwa anauza yaliyosalia katika soko la wakulima kila siku kwa $2 kwa kila yai.\n Njikwa, huwa anatengeneza 9 * 2 = 18 dola kila siku.\n Njikwa, huwa anatengeneza 18 dola kila siku katika soko la wakulima.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The task asks how much money Janet makes daily at the farmer's market. Initially, Janet's duck lays 16 eggs per day. She consumes 3 eggs for breakfast and uses 4 eggs to bake muffins for her friends, leaving her with 16 - 3 - 4 = 9 eggs. Janet sells the remaining 9 eggs at the market for $2 each. The model calculates the revenue as 9 * 2 = 18 dollars. This matches the given golden answer, which is 18. Therefore, the model's answer aligns correctly with the golden answer.\n\nThe correctness score: [[1]]"]}
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[' Bata wa Janet hutaga mayai 16 kila siku.\n Huwa anakula matatu wakati wa staftahi kila asubuhi, na huokea marafiki zake mafini kila siku kwa mayai manne.\n Njikwa, huwa anatengeneza 16 - 3 - 4 = 13 - 4 = 9 mayai kila siku.\n Huwa anauza yaliyosalia katika soko la wakulima kila siku kwa $2 kwa kila yai.\n Njikwa, huwa anatengeneza 9 * 2 = 18 dola kila siku.\n Njikwa, huwa anatengeneza 18 dola kila siku katika soko la wakulima.']
{'question': 'Bata wa Janet hutaga mayai 16 kila siku. Huwa anakula matatu wakati wa staftahi kila asubuhi na huokea marafiki zake mafini kila siku kwa mayai manne. Huwa anauza yaliyosalia katika soko la wakulima kila siku kwa $2 kwa kila yai la bata. Huwa anatengeneza pesa ngapi katika dola kila siku katika soko la wakulima?'}
[0]
['20']
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Question: Wagombea wawili wanagombea mwakilishi wa darasa katika shule ya Sarai. Iwapo mshindi alipata 3/4 ya kura na jumla ya idadi ya wanafunzi waliopiga kura katika darasa hilo ilikuwa 80, piga hesabu ya idadi ya kura ambazo yule aliyeshindwa alipata. Answer:
Question: Wagombea wawili wanagombea mwakilishi wa darasa katika shule ya Sarai. Iwapo mshindi alipata 3/4 ya kura na jumla ya idadi ya wanafunzi waliopiga kura katika darasa hilo ilikuwa 80, piga hesabu ya idadi ya kura ambazo yule aliyeshindwa alipata. Answer:
[]
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{'judge_score_gpt-4o': 1, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Wagombea wawili wanagombea mwakilishi wa darasa katika shule ya Sarai. Iwapo mshindi alipata 3/4 ya kura na jumla ya idadi ya wanafunzi waliopiga kura katika darasa hilo ilikuwa 80, piga hesabu ya idadi ya kura ambazo yule aliyeshindwa alipata.\nGolden Answer: 20\nModel\'s Answer: Iwapo mshindi alipata 3/4 ya kura, 1/4 ya kura alipata yule aliyeshindwa.\n Jumla ya idadi ya wanafunzi waliopiga kura katika darasa hilo ilikuwa 80.\n 3/4 * 80 = 0.75 * 80 = 60\n 1/4 * 80 = 0.25 * 80 = 20\n Idadi ya kura ambazo yule aliyeshindwa alipata = 20\n\nWagombea wawili wanagombea mwakilishi wa darasa katika shule ya Sarai. Iwapo mshindi alipata 3/4 ya kura, 1/4 ya kura alipata yule aliyeshindwa. Jumla ya idadi ya wanafunzi waliopiga kura katika darasa hilo ilikuwa 80. 3/4 * 80 = 0.75 * 80 = 60. 1/4 * 80 = 0.25 * 80 = 20. Idadi ya kura ambazo yule aliyeshindwa alipata = 20. \n\nWagombea wawili wanagombea mwakilishi wa darasa katika shule ya Sarai. Iwapo mshindi alipata 3/4 ya kura, 1/4 ya kura alipata yule aliyeshindwa. Jumla ya idadi ya wanafunzi waliopiga kura katika darasa hilo ilikuwa 80. 3/4 * 80 = 0.75 * 80 = 60. 1/4 * 80 = 0.25 * 80 = 20. Idadi ya kura ambazo yule aliyeshindwa alipata = 20. \n\nWagombea wawili wanagombea mwakilishi wa darasa katika shule ya Sarai. Iwapo mshindi alipata 3/4 ya kura, 1/4 ya kura alipata yule aliyeshindwa. Jumla ya idadi ya wanafunzi waliopiga kura kat\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's answer correctly interprets the problem and provides a solution that matches the golden answer. According to the explanation, if the winner received 3/4 of the votes, the loser would receive the remaining 1/4 of the votes. The model calculates 1/4 of 80, which results in 20, matching the golden answer of 20. The calculations and logic are consistent with the problem statement. The answer provided by the model is correct.\n\nThe score: [[1]]"]}
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[680]
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[' Iwapo mshindi alipata 3/4 ya kura, 1/4 ya kura alipata yule aliyeshindwa.\n Jumla ya idadi ya wanafunzi waliopiga kura katika darasa hilo ilikuwa 80.\n 3/4 * 80 = 0.75 * 80 = 60\n 1/4 * 80 = 0.25 * 80 = 20\n Idadi ya kura ambazo yule aliyeshindwa alipata = 20\n\nWagombea wawili wanagombea mwakilishi wa darasa katika shule ya Sarai. Iwapo mshindi alipata 3/4 ya kura, 1/4 ya kura alipata yule aliyeshindwa. Jumla ya idadi ya wanafunzi waliopiga kura katika darasa hilo ilikuwa 80. 3/4 * 80 = 0.75 * 80 = 60. 1/4 * 80 = 0.25 * 80 = 20. Idadi ya kura ambazo yule aliyeshindwa alipata = 20. \n\nWagombea wawili wanagombea mwakilishi wa darasa katika shule ya Sarai. Iwapo mshindi alipata 3/4 ya kura, 1/4 ya kura alipata yule aliyeshindwa. Jumla ya idadi ya wanafunzi waliopiga kura katika darasa hilo ilikuwa 80. 3/4 * 80 = 0.75 * 80 = 60. 1/4 * 80 = 0.25 * 80 = 20. Idadi ya kura ambazo yule aliyeshindwa alipata = 20. \n\nWagombea wawili wanagombea mwakilishi wa darasa katika shule ya Sarai. Iwapo mshindi alipata 3/4 ya kura, 1/4 ya kura alipata yule aliyeshindwa. Jumla ya idadi ya wanafunzi waliopiga kura kat']
{'question': 'Wagombea wawili wanagombea mwakilishi wa darasa katika shule ya Sarai. Iwapo mshindi alipata 3/4 ya kura na jumla ya idadi ya wanafunzi waliopiga kura katika darasa hilo ilikuwa 80, piga hesabu ya idadi ya kura ambazo yule aliyeshindwa alipata.'}
[0]
['18']
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Question: Jimmy ana $2 zaidi ya mara mbili ya pesa za Ethel. Iwapo Ethel ana $8, Jimmy ana pesa ngapi? Answer:
Question: Jimmy ana $2 zaidi ya mara mbili ya pesa za Ethel. Iwapo Ethel ana $8, Jimmy ana pesa ngapi? Answer:
[]
[0]
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{'judge_score_gpt-4o': 1, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Jimmy ana $2 zaidi ya mara mbili ya pesa za Ethel. Iwapo Ethel ana $8, Jimmy ana pesa ngapi?\nGolden Answer: 18\nModel\'s Answer: Jimmy ana $2 zaidi ya mara mbili ya pesa za Ethel.\n Mara mbili ya pesa za Ethel na $8 * 2 = $16.\n $2 zaidi ya $16 na $16 + $2 = $18.\n Jimmy ana $18.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The question is about calculating Jimmy's amount of money based on Ethel's amount. According to the problem statement, Jimmy has $2 more than twice the amount of Ethel's money. Ethel has $8. \n\nThe model correctly calculates twice Ethel's amount as $16 (since 8 * 2 = 16) and adds $2 to this, arriving at $18 (since 16 + 2 = 18). This process matches the golden answer correctly, which is also 18.\n\nTherefore, the model's answer is accurate and aligns with the golden answer.\n\nScore: [[1]]"]}
0
0
[741]
[]
[' Jimmy ana $2 zaidi ya mara mbili ya pesa za Ethel.\n Mara mbili ya pesa za Ethel na $8 * 2 = $16.\n $2 zaidi ya $16 na $16 + $2 = $18.\n Jimmy ana $18.']
{'question': 'Jimmy ana $2 zaidi ya mara mbili ya pesa za Ethel. Iwapo Ethel ana $8, Jimmy ana pesa ngapi?'}
[0]
['31']
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Question: Chakula ambacho Carl anapenda zaidi ni jibini. Alikula sandwichi kila siku wiki hii wakati wa chakula cha mchana na kutumia slaisi 2 za jibini kwenye kila sandwichi. Alikula jibini na omleti za mayai wakati wa staftahi siku 3 katika wiki hiyo na omleti moja ilikuwa na slaisi moja zaidi ya jibini kuliko katika sandwichi yake. Aliandaa mlo mkubwa wa makaroni na jibini wa kumtoshea chajio kadhaa kwa wiki hiyo na akatumia slaisi 8 za jibini kwenye mlo huo. Alitumia slaisi ngapi za jibini kwa jumla? Answer:
Question: Chakula ambacho Carl anapenda zaidi ni jibini. Alikula sandwichi kila siku wiki hii wakati wa chakula cha mchana na kutumia slaisi 2 za jibini kwenye kila sandwichi. Alikula jibini na omleti za mayai wakati wa staftahi siku 3 katika wiki hiyo na omleti moja ilikuwa na slaisi moja zaidi ya jibini kuliko katika sandwichi yake. Aliandaa mlo mkubwa wa makaroni na jibini wa kumtoshea chajio kadhaa kwa wiki hiyo na akatumia slaisi 8 za jibini kwenye mlo huo. Alitumia slaisi ngapi za jibini kwa jumla? Answer:
[]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Chakula ambacho Carl anapenda zaidi ni jibini. Alikula sandwichi kila siku wiki hii wakati wa chakula cha mchana na kutumia slaisi 2 za jibini kwenye kila sandwichi. Alikula jibini na omleti za mayai wakati wa staftahi siku 3 katika wiki hiyo na omleti moja ilikuwa na slaisi moja zaidi ya jibini kuliko katika sandwichi yake. Aliandaa mlo mkubwa wa makaroni na jibini wa kumtoshea chajio kadhaa kwa wiki hiyo na akatumia slaisi 8 za jibini kwenye mlo huo. Alitumia slaisi ngapi za jibini kwa jumla?\nGolden Answer: 31\nModel\'s Answer: Carl anapenda jibini zaidi kwa sandwichi, jibini na omleti, na mlo mkubwa.\n Alikula sandwichi kila siku 7, kwa 7 * 2 = 14 slaisi.\n Alikula jibini na omleti kila siku 3, kwa 3 * 1 = 3 slaisi.\n Alikula mlo mkubwa kila siku 1, kwa 1 * 8 = 8 slaisi.\n Jumla, Carl anapenda 14 + 3 + 8 = 17 + 8 = 25 slaisi.\n Carl anapenda jibini zaidi kwa jumla 25 slaisi.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The question asks for the total number of cheese slices Carl used during the week. According to the given information:\n\n1. Carl used 2 slices of cheese for sandwiches each day for 7 days (2 slices/day * 7 days = 14 slices).\n2. For omelets, he used 1 more slice than the sandwiches, i.e., 3 slices (2+1) on each of 3 days (3 slices/day * 3 days = 9 slices).\n3. He used 8 slices of cheese for a large macaroni and cheese dish.\n\nThe correct calculation should be: 14 (sandwiches) + 9 (omelets) + 8 (macaroni) = 31 slices in total.\n\nThe model made an error in calculating the slices for omelets, using only 3 slices in total instead of 9, and also miscalculated the total, concluding with 25 instead of 31. Therefore, the model's answer does not match the golden answer.\n\nThe correctness score: [[0]]"]}
0
0
[584]
[]
[' Carl anapenda jibini zaidi kwa sandwichi, jibini na omleti, na mlo mkubwa.\n Alikula sandwichi kila siku 7, kwa 7 * 2 = 14 slaisi.\n Alikula jibini na omleti kila siku 3, kwa 3 * 1 = 3 slaisi.\n Alikula mlo mkubwa kila siku 1, kwa 1 * 8 = 8 slaisi.\n Jumla, Carl anapenda 14 + 3 + 8 = 17 + 8 = 25 slaisi.\n Carl anapenda jibini zaidi kwa jumla 25 slaisi.']
{'question': 'Chakula ambacho Carl anapenda zaidi ni jibini. Alikula sandwichi kila siku wiki hii wakati wa chakula cha mchana na kutumia slaisi 2 za jibini kwenye kila sandwichi. Alikula jibini na omleti za mayai wakati wa staftahi siku 3 katika wiki hiyo na omleti moja ilikuwa na slaisi moja zaidi ya jibini kuliko katika sandwichi yake. Aliandaa mlo mkubwa wa makaroni na jibini wa kumtoshea chajio kadhaa kwa wiki hiyo na akatumia slaisi 8 za jibini kwenye mlo huo. Alitumia slaisi ngapi za jibini kwa jumla?'}
[0]
['2']
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Question: John anapanga kuuza wanasesere wake wote na kutumia pesa hizo kununua michezo ya video. Ana seti 13 za lego na anaziuza kwa $15 kwa kila seti. Anafanikiwa kununua michezo 8 ya video kwa $20 kila moja na kusalia na $5. Bado ana seti ngapi za lego? Answer:
Question: John anapanga kuuza wanasesere wake wote na kutumia pesa hizo kununua michezo ya video. Ana seti 13 za lego na anaziuza kwa $15 kwa kila seti. Anafanikiwa kununua michezo 8 ya video kwa $20 kila moja na kusalia na $5. Bado ana seti ngapi za lego? Answer:
[]
[0]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: John anapanga kuuza wanasesere wake wote na kutumia pesa hizo kununua michezo ya video. Ana seti 13 za lego na anaziuza kwa $15 kwa kila seti. Anafanikiwa kununua michezo 8 ya video kwa $20 kila moja na kusalia na $5. Bado ana seti ngapi za lego?\nGolden Answer: 2\nModel\'s Answer: John anapanga kuuza wanasesere wake wote na kutumia pesa hizo kununua michezo ya video.\n Ana seti 13 za lego na anaziuza kwa $15 kwa kila seti.\n Anafanikiwa kununua michezo 8 ya video kwa $20 kila moja na kusalia na $5.\n Kusalia na $5 kwa michezo 8 ya video kwa $20 kila moja, kwa $20 * 8 = $160.\n Kusalia na $5 kwa seti 13 za lego kwa $15 kila seti, kwa $15 * 13 = $195.\n Kusalia na $5 kwa michezo 8 ya video kwa $20 kila moja, kwa $20 * 8 = $160.\n Kusalia na $5 kwa seti 13 za lego kwa $15 kila seti, kwa $15 * 13 = $195.\n Kusalia na $5 kwa michezo 8 ya video kwa $20 kila moja, kwa $20 * 8 = $160.\n Kusalia na $5 kwa seti 13 za lego kwa $15 kila seti, kwa $15 * 13 = $195.\n Kusalia na $5 kwa michezo 8 ya video kwa $20 kila moja, kwa $20 * 8 = $160.\n Kusalia na $5 kwa seti 13 za lego kwa $15 kila seti, kwa $15 * 13 = $195.\n Kusalia na $5 kwa michezo 8 ya video kwa $20 kila moja, kwa $20 * 8 = $160.\n Kusalia na $5 kwa seti 13 za lego kwa $15 kila seti, kwa $15 * 13 = $195.\n Kusalia na $5 kwa michezo 8 ya video kwa $20 kila moja, kwa $20 * 8 = $160.\n Kusalia na $5 kwa seti 13 za lego kwa $15 kila seti, kwa $15 * \nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's answer seems to have a repeated portion regarding the calculations. However, it does not solve for the number of Lego sets John still has. The task was to find how many sets of Lego John has left after buying video games and the golden answer specifies that he has 2 sets left. The model did not guide us to this answer; instead, it repeated parts of the problem statement without arriving at a solution. Therefore, the model's answer does not match the golden answer. The correctness score: [[0]]."]}
0
0
[682]
[]
[' John anapanga kuuza wanasesere wake wote na kutumia pesa hizo kununua michezo ya video.\n Ana seti 13 za lego na anaziuza kwa $15 kwa kila seti.\n Anafanikiwa kununua michezo 8 ya video kwa $20 kila moja na kusalia na $5.\n Kusalia na $5 kwa michezo 8 ya video kwa $20 kila moja, kwa $20 * 8 = $160.\n Kusalia na $5 kwa seti 13 za lego kwa $15 kila seti, kwa $15 * 13 = $195.\n Kusalia na $5 kwa michezo 8 ya video kwa $20 kila moja, kwa $20 * 8 = $160.\n Kusalia na $5 kwa seti 13 za lego kwa $15 kila seti, kwa $15 * 13 = $195.\n Kusalia na $5 kwa michezo 8 ya video kwa $20 kila moja, kwa $20 * 8 = $160.\n Kusalia na $5 kwa seti 13 za lego kwa $15 kila seti, kwa $15 * 13 = $195.\n Kusalia na $5 kwa michezo 8 ya video kwa $20 kila moja, kwa $20 * 8 = $160.\n Kusalia na $5 kwa seti 13 za lego kwa $15 kila seti, kwa $15 * 13 = $195.\n Kusalia na $5 kwa michezo 8 ya video kwa $20 kila moja, kwa $20 * 8 = $160.\n Kusalia na $5 kwa seti 13 za lego kwa $15 kila seti, kwa $15 * 13 = $195.\n Kusalia na $5 kwa michezo 8 ya video kwa $20 kila moja, kwa $20 * 8 = $160.\n Kusalia na $5 kwa seti 13 za lego kwa $15 kila seti, kwa $15 * ']
{'question': 'John anapanga kuuza wanasesere wake wote na kutumia pesa hizo kununua michezo ya video. Ana seti 13 za lego na anaziuza kwa $15 kwa kila seti. Anafanikiwa kununua michezo 8 ya video kwa $20 kila moja na kusalia na $5. Bado ana seti ngapi za lego?'}
[0]
['175']
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Question: Jerome alikuwa na marafiki 4 waliokuja kumtembelea siku fulani. Rafiki wa kwanza alibonyeza kengele ya mlango mara 20 kabla ya Jerome kufungua, rafiki wa pili alibonyeza kengele ya mlango mara 1/4 zaidi ya rafiki wa kwanza wa Jerome. Rafiki wa tatualibonyeza kengele hiyo mara 10 zaidi ya rafiki wa nne. Iwapo rafiki wa nne alibonyeza kengele ya mlango mara 60, kengele hiyo ya mlango ililia mara ngapi? Answer:
Question: Jerome alikuwa na marafiki 4 waliokuja kumtembelea siku fulani. Rafiki wa kwanza alibonyeza kengele ya mlango mara 20 kabla ya Jerome kufungua, rafiki wa pili alibonyeza kengele ya mlango mara 1/4 zaidi ya rafiki wa kwanza wa Jerome. Rafiki wa tatualibonyeza kengele hiyo mara 10 zaidi ya rafiki wa nne. Iwapo rafiki wa nne alibonyeza kengele ya mlango mara 60, kengele hiyo ya mlango ililia mara ngapi? Answer:
[]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Jerome alikuwa na marafiki 4 waliokuja kumtembelea siku fulani. Rafiki wa kwanza alibonyeza kengele ya mlango mara 20 kabla ya Jerome kufungua, rafiki wa pili alibonyeza kengele ya mlango mara 1/4 zaidi ya rafiki wa kwanza wa Jerome. Rafiki wa tatualibonyeza kengele hiyo mara 10 zaidi ya rafiki wa nne. Iwapo rafiki wa nne alibonyeza kengele ya mlango mara 60, kengele hiyo ya mlango ililia mara ngapi?\nGolden Answer: 175\nModel\'s Answer: Rafiki wa nne alibonyeza kengele ya mlango mara 60.\n Rafiki wa tatua alibonyeza kengele ya mlango mara 10 zaidi ya rafiki wa nne, kengele ya mlango mara 60 + 10 = 70.\n Rafiki wa pili alibonyeza kengele ya mlango mara 1/4 zaidi ya rafiki wa kwanza, kengele ya mlango mara 20 + (20 * 1/4) = 20 + 5 = 25.\n Jerome alibonyeza kengele ya mlango mara 20 zaidi ya rafiki wa kwanza, kengele ya mlango mara 25 + 20 = 45.\n Kengele hiyo ya mlango ililia mara ngapi? 70 + 45 = 115.\n Kengele hiyo ya mlango ililia mara 115.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The problem asks the total number of times the doorbell rang when Jerome's friends visited him. The calculation should be based on the following details:\n- The first friend rang the bell 20 times.\n- The second friend rang the bell 1/4 more times than the first friend: \\(20 + (20 \\times \\frac{1}{4}) = 20 + 5 = 25\\) times.\n- The third friend rang the bell 10 more times than the fourth friend: \\(60 + 10 = 70\\) times.\n- The fourth friend rang the bell 60 times.\n\nThe total number of times the doorbell rang is calculated as follows:\n\\[20 + 25 + 70 + 60 = 175\\]\n\nThe model's answer contains multiple errors in calculations. It erroneously calculates the second friend's ringing as 45, which instead should be 25, and misunderstands calculations related to Jerome. The final tally given by the model is 115, which is incorrect compared to the golden answer of 175.\n\nTherefore, the model's answer does not align with the correct computations leading to the golden answer.\n\nThe correctness score: [[0]]."]}
0
0
[621]
[]
[' Rafiki wa nne alibonyeza kengele ya mlango mara 60.\n Rafiki wa tatua alibonyeza kengele ya mlango mara 10 zaidi ya rafiki wa nne, kengele ya mlango mara 60 + 10 = 70.\n Rafiki wa pili alibonyeza kengele ya mlango mara 1/4 zaidi ya rafiki wa kwanza, kengele ya mlango mara 20 + (20 * 1/4) = 20 + 5 = 25.\n Jerome alibonyeza kengele ya mlango mara 20 zaidi ya rafiki wa kwanza, kengele ya mlango mara 25 + 20 = 45.\n Kengele hiyo ya mlango ililia mara ngapi? 70 + 45 = 115.\n Kengele hiyo ya mlango ililia mara 115.']
{'question': 'Jerome alikuwa na marafiki 4 waliokuja kumtembelea siku fulani. Rafiki wa kwanza alibonyeza kengele ya mlango mara 20 kabla ya Jerome kufungua, rafiki wa pili alibonyeza kengele ya mlango mara 1/4 zaidi ya rafiki wa kwanza wa Jerome. Rafiki wa tatualibonyeza kengele hiyo mara 10 zaidi ya rafiki wa nne. Iwapo rafiki wa nne alibonyeza kengele ya mlango mara 60, kengele hiyo ya mlango ililia mara ngapi?'}
[0]
['23']
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Question: Jean ana umri wa miaka miwili zaidi ya Mark. Miaka miwili iliyopita Mark alikuwa na umri wa miaka 5 zaidi ya nusu ya umri wa Jan. Ikiwa Jan ana umri wa miaka 30, Jean ana miaka mingapi? Answer:
Question: Jean ana umri wa miaka miwili zaidi ya Mark. Miaka miwili iliyopita Mark alikuwa na umri wa miaka 5 zaidi ya nusu ya umri wa Jan. Ikiwa Jan ana umri wa miaka 30, Jean ana miaka mingapi? Answer:
[]
[0]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Jean ana umri wa miaka miwili zaidi ya Mark. Miaka miwili iliyopita Mark alikuwa na umri wa miaka 5 zaidi ya nusu ya umri wa Jan. Ikiwa Jan ana umri wa miaka 30, Jean ana miaka mingapi?\nGolden Answer: 23\nModel\'s Answer: Jan ana umri wa miaka 30.\n Mark alikuwa na umri wa miaka 5 zaidi ya nusu ya umri wa Jan. Nusu ya umri wa Jan na 30 / 2 = 15. Mark alikuwa na 15 + 5 = 20 miaka.\n Jean ana umri wa miaka miwili zaidi ya Mark. Miwili zaidi ya Mark na 20 + 2 = 22. Jean ana 22 miaka.\n\nJean ana miaka 22.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's answer calculates Jean's age as 22 years. However, the golden answer indicates that Jean should be 23 years old. Examining the model's calculation: it correctly finds Mark's age two years ago and then adds two to find Jean's current age but incorrectly computes the final step. The model computed Jean’s age as 22, while the golden answer is 23. Therefore, the model's answer does not match the golden answer.\n\nThe correctness score: [[0]]."]}
0
0
[707]
[]
[' Jan ana umri wa miaka 30.\n Mark alikuwa na umri wa miaka 5 zaidi ya nusu ya umri wa Jan. Nusu ya umri wa Jan na 30 / 2 = 15. Mark alikuwa na 15 + 5 = 20 miaka.\n Jean ana umri wa miaka miwili zaidi ya Mark. Miwili zaidi ya Mark na 20 + 2 = 22. Jean ana 22 miaka.\n\nJean ana miaka 22.']
{'question': 'Jean ana umri wa miaka miwili zaidi ya Mark. Miaka miwili iliyopita Mark alikuwa na umri wa miaka 5 zaidi ya nusu ya umri wa Jan. Ikiwa Jan ana umri wa miaka 30, Jean ana miaka mingapi?'}
[0]
['623']
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Question: Grace ana uzani wa pauni 125. Uzani wa Alex ni pauni 2 kiasi kwa mara 4 ya uzani wa Grace. Jumla ya uzani wao kwa pauni ni ngapi? Answer:
Question: Grace ana uzani wa pauni 125. Uzani wa Alex ni pauni 2 kiasi kwa mara 4 ya uzani wa Grace. Jumla ya uzani wao kwa pauni ni ngapi? Answer:
[]
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Grace ana uzani wa pauni 125. Uzani wa Alex ni pauni 2 kiasi kwa mara 4 ya uzani wa Grace. Jumla ya uzani wao kwa pauni ni ngapi?\nGolden Answer: 623\nModel\'s Answer: Grace ana uzani wa pauni 125.\n Uzani wa Alex ni pauni 2 kiasi kwa mara 4 ya uzani wa Grace.\n Mara 4 ya uzani wa Grace ni 4 * 125 = 500 pauni.\n 2 kiasi kwa 500 pauni ni 2 * 500 = 1000 pauni.\n Jumla ya uzani wao kwa pauni ni 125 + 1000 = 1125 pauni.\n Jumla ya uzani wao kwa pauni ni 1125.\nYour Judgment:\n'}], 'judgement_gpt-4o': ['The model\'s answer calculates the weight of Alex incorrectly. In the question, Alex\'s weight is described as "pauni 2 kiasi kwa mara 4 ya uzani wa Grace," which means that Alex\'s weight is 2 times the weight of Grace times 4. However, the model interpreted it as "2 times the weight of four Graces (4 * 125)," resulting in 1000 pounds, and then added Grace\'s weight to get a total of 1125 pounds. \n\nThe correct calculation should be: \n- Alex\'s weight is 2 * 4 * 125 = 1000 pounds.\n- Total weight = Grace\'s weight (125 pounds) + Alex\'s weight (500 pounds) = 125 + 500 = 625 pounds.\n\nThus, the model\'s answer of 1125 does not match the golden answer of 623 pounds.\n\nThe correctness score: [[0]].']}
0
0
[727]
[]
[' Grace ana uzani wa pauni 125.\n Uzani wa Alex ni pauni 2 kiasi kwa mara 4 ya uzani wa Grace.\n Mara 4 ya uzani wa Grace ni 4 * 125 = 500 pauni.\n 2 kiasi kwa 500 pauni ni 2 * 500 = 1000 pauni.\n Jumla ya uzani wao kwa pauni ni 125 + 1000 = 1125 pauni.\n Jumla ya uzani wao kwa pauni ni 1125.']
{'question': 'Grace ana uzani wa pauni 125. Uzani wa Alex ni pauni 2 kiasi kwa mara 4 ya uzani wa Grace. Jumla ya uzani wao kwa pauni ni ngapi?'}
[0]
['23']
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Question: Siobhan ana vito 2 chache zaidi ya vya Aaron. Aaron ana vito 5 zaidi ya nusu ya vito vya Raymond. Ikiwa Raymond ana vito 40, Siobhan ana vito vingapi? Answer:
Question: Siobhan ana vito 2 chache zaidi ya vya Aaron. Aaron ana vito 5 zaidi ya nusu ya vito vya Raymond. Ikiwa Raymond ana vito 40, Siobhan ana vito vingapi? Answer:
[]
[0]
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{'judge_score_gpt-4o': 1, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Siobhan ana vito 2 chache zaidi ya vya Aaron. Aaron ana vito 5 zaidi ya nusu ya vito vya Raymond. Ikiwa Raymond ana vito 40, Siobhan ana vito vingapi?\nGolden Answer: 23\nModel\'s Answer: Raymond ana vito 40.\n Aaron ana vito 5 zaidi ya nusu ya vito vya Raymond. Nusu ya vito vya Raymond ni 40 / 2 = 20. Aaron ana vito 20 + 5 = 25.\n Siobhan ana vito 2 chache zaidi ya vya Aaron. Chache zaidi ya vya Aaron ni 25 - 2 = 23. Siobhan ana vito 23.\n\nSiobhan ana vito 23.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's answer follows a logical process consistent with the information given in the question. It starts by calculating half of Raymond's 40 necklaces, which is 20. Then, it correctly adds 5 to find that Aaron has 25 necklaces. Finally, it subtracts 2 from Aaron's total to find that Siobhan has 23 necklaces. This matches the golden answer of 23.\n\nThe model and the golden answer align perfectly. The score: [[1]]"]}
0
0
[719]
[]
[' Raymond ana vito 40.\n Aaron ana vito 5 zaidi ya nusu ya vito vya Raymond. Nusu ya vito vya Raymond ni 40 / 2 = 20. Aaron ana vito 20 + 5 = 25.\n Siobhan ana vito 2 chache zaidi ya vya Aaron. Chache zaidi ya vya Aaron ni 25 - 2 = 23. Siobhan ana vito 23.\n\nSiobhan ana vito 23.']
{'question': 'Siobhan ana vito 2 chache zaidi ya vya Aaron. Aaron ana vito 5 zaidi ya nusu ya vito vya Raymond. Ikiwa Raymond ana vito 40, Siobhan ana vito vingapi?'}
[0]
['48']
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Question: Sadie alilala saa 8 Jumatatu. Kwa siku mbili zinazofuata, alilala saa 2 kidogo, kila moja, kwa sababu alihitaji kukamilisha kazi zake za ziada. Ikiwa siku zilizosalia kwa wiki alilala saa 1 zaidi ya siku hizo mbili, alilala saa ngapi kwa jumla katika wiki nzima? Answer:
Question: Sadie alilala saa 8 Jumatatu. Kwa siku mbili zinazofuata, alilala saa 2 kidogo, kila moja, kwa sababu alihitaji kukamilisha kazi zake za ziada. Ikiwa siku zilizosalia kwa wiki alilala saa 1 zaidi ya siku hizo mbili, alilala saa ngapi kwa jumla katika wiki nzima? Answer:
[]
[0]
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512, 257], device='cuda:0')]
{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Sadie alilala saa 8 Jumatatu. Kwa siku mbili zinazofuata, alilala saa 2 kidogo, kila moja, kwa sababu alihitaji kukamilisha kazi zake za ziada. Ikiwa siku zilizosalia kwa wiki alilala saa 1 zaidi ya siku hizo mbili, alilala saa ngapi kwa jumla katika wiki nzima?\nGolden Answer: 48\nModel\'s Answer: Sadie alilala saa 8 Jumatatu.\n Kwa siku mbili zinazofuata, alilala saa 2 kidogo, kila moja, kwa sababu alihitaji kukamilisha kazi zake za ziada.\n Ikiwa siku zilizosalia kwa wiki alilala saa 1 zaidi ya siku hizo mbili.\n Siku mbili zinazofuata, alilala saa 2 * 2 = 4.\n Siku zilizosalia kwa wiki, alilala saa 4 + 1 = 5.\n Jumla saa alilala kwa jumla katika wiki nzima, 8 + 4 + 5 = 12 + 5 = 17.\n Sadie alilala saa 17 kwa jumla katika wiki nzima.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The question asks for the total hours Sadie slept in a week, given the conditions specified. The golden answer indicates that Sadie should have slept 48 hours in total. However, the model's answer incorrectly calculates the total to be 17 hours. The model's answer shows intermediate calculations but wrongly interprets the conditions and hours, leading to an incorrect total. Therefore, the model's answer does not match the golden answer.\n\nThe correctness score: [[0]]."]}
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[668]
[]
[' Sadie alilala saa 8 Jumatatu.\n Kwa siku mbili zinazofuata, alilala saa 2 kidogo, kila moja, kwa sababu alihitaji kukamilisha kazi zake za ziada.\n Ikiwa siku zilizosalia kwa wiki alilala saa 1 zaidi ya siku hizo mbili.\n Siku mbili zinazofuata, alilala saa 2 * 2 = 4.\n Siku zilizosalia kwa wiki, alilala saa 4 + 1 = 5.\n Jumla saa alilala kwa jumla katika wiki nzima, 8 + 4 + 5 = 12 + 5 = 17.\n Sadie alilala saa 17 kwa jumla katika wiki nzima.']
{'question': 'Sadie alilala saa 8 Jumatatu. Kwa siku mbili zinazofuata, alilala saa 2 kidogo, kila moja, kwa sababu alihitaji kukamilisha kazi zake za ziada. Ikiwa siku zilizosalia kwa wiki alilala saa 1 zaidi ya siku hizo mbili, alilala saa ngapi kwa jumla katika wiki nzima?'}
[0]
['180']
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Question: Carlos na Benji wapo kwenye ufuo. Carlos anakodisha mashua kwa $30 kila saa na Benji anakodisha mashua ya ndizi kwa $18 kila saa. Carlos akitumia mashua yake kwa saa 3 na Benji akatumia yake kwa saa 5, wote wawili watalipa jumla ya pesa ngapi? Answer:
Question: Carlos na Benji wapo kwenye ufuo. Carlos anakodisha mashua kwa $30 kila saa na Benji anakodisha mashua ya ndizi kwa $18 kila saa. Carlos akitumia mashua yake kwa saa 3 na Benji akatumia yake kwa saa 5, wote wawili watalipa jumla ya pesa ngapi? Answer:
[]
[0]
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{'judge_score_gpt-4o': 1, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Carlos na Benji wapo kwenye ufuo. Carlos anakodisha mashua kwa $30 kila saa na Benji anakodisha mashua ya ndizi kwa $18 kila saa. Carlos akitumia mashua yake kwa saa 3 na Benji akatumia yake kwa saa 5, wote wawili watalipa jumla ya pesa ngapi?\nGolden Answer: 180\nModel\'s Answer: Carlos akitumia mashua yake kwa saa 3 na Benji akatumia yake kwa saa 5.\n Carlos na Benji wapo kwenye ufuo, wote wawili watalipa jumla ya $30 + 18 = 48$.\n Carlos akitumia mashua yake kwa saa 3, wote wawili watalipa $30 * 3 = 90$.\n Benji akitumia mashua yake kwa saa 5, wote wawili watalipa $18 * 5 = 90$.\n Jumla ya wawili watalipa $90 + 90 = 180$.\n Wote wawili watalipa jumla ya $180.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's answer breaks down the cost calculations for both Carlos and Benji. It calculates each cost correctly: Carlos pays $90 for 3 hours ($30 per hour), and Benji pays $90 for 5 hours ($18 per hour). The total cost, then, sums to $180. This matches the golden answer.\n\nThe model's answer is thorough and correctly matches the golden answer. Thus, the score: [[1]]."]}
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[' Carlos akitumia mashua yake kwa saa 3 na Benji akatumia yake kwa saa 5.\n Carlos na Benji wapo kwenye ufuo, wote wawili watalipa jumla ya $30 + 18 = 48$.\n Carlos akitumia mashua yake kwa saa 3, wote wawili watalipa $30 * 3 = 90$.\n Benji akitumia mashua yake kwa saa 5, wote wawili watalipa $18 * 5 = 90$.\n Jumla ya wawili watalipa $90 + 90 = 180$.\n Wote wawili watalipa jumla ya $180.']
{'question': 'Carlos na Benji wapo kwenye ufuo. Carlos anakodisha mashua kwa $30 kila saa na Benji anakodisha mashua ya ndizi kwa $18 kila saa. Carlos akitumia mashua yake kwa saa 3 na Benji akatumia yake kwa saa 5, wote wawili watalipa jumla ya pesa ngapi?'}
[0]
['9']
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Question: Chad aliagiza barito ya kujijengea wakati wa chakula cha mchana. Barito ya sehemu ya chini ni $6.50. Anaongeza nyama ya ziada kwa $2.00, jibini ya ziada kwa $1.00, parachichi ya $1.00 na sosi 2 za $0.25 kila moja. Kisha anaamua kuboresha mlo wake kwa $3.00 zaidi ya kuongeza chipsi na kinywaji. Aka kadi ya zawadi ya $5.00 ambayo anatumia kulipa. Bado anadaiwa pesa ngapi? Answer:
Question: Chad aliagiza barito ya kujijengea wakati wa chakula cha mchana. Barito ya sehemu ya chini ni $6.50. Anaongeza nyama ya ziada kwa $2.00, jibini ya ziada kwa $1.00, parachichi ya $1.00 na sosi 2 za $0.25 kila moja. Kisha anaamua kuboresha mlo wake kwa $3.00 zaidi ya kuongeza chipsi na kinywaji. Aka kadi ya zawadi ya $5.00 ambayo anatumia kulipa. Bado anadaiwa pesa ngapi? Answer:
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{'judge_score_gpt-4o': 0, 'user_prompt_gpt-4o': [{'role': 'system', 'content': 'In this task, I want you to act as a judge.'}, {'role': 'user', 'content': 'You will be provided with a mathematics question, its golden answer, and the model\'s answer. The question could be in any language, and the model\'s answer could be in any language. Your task is to judge if the model\'s answer is equal to the golden answer,\nYour task is to judge if the model\'s answer is correct or not based on the golden answer.\nYou should first briefly give your reasoning process regarding how the model\'s answer matches the golden answer(s), and then give the boolean score of 0 or 1 if they are equal or not.\nThe score must strictly follow this format: "[[score]]", e.g., ": [[1]]". Below are some examples.\n\nExample 1:\nQuestion: Roger ní bọ́ọ́lù aláfajọ̀ 5. Ó ra agolo bọ́ọ́lù aláfajọ̀gbá 2 kún-un. Agolo kọ̀ọ̀kan ní bọ́ọ́lù aláfajọ̀gbá 3. Bọ́ọ́lù aláfajọ̀gbá mélòó ni ó ní báyìí?\nGolden Answer: 11\nModel\'s Answer: Ìdáhùn lẹ́sẹsẹ: Roger bẹ̀rẹ̀ pẹ̀lú bọ́ọ́lù 5. Agolo 2 bọ́ọ́lù aláfajọ̀gbá kọ̀ọ̀kan 3 jẹ́ bọ́ọ́lù aláfajọ̀gbá 6. 5 + 6 = 11. Ìdáhùn náà ni 11.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 2:\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nGolden Answer: 8\nModel\'s Answer: Jason started with 20 lollipops, but now he only has 12, so he gave Denny 20 - 12 = 8 lollipops. The answer is 8.\nYour Judgment: The model and the groundtruth answer are the same. The score: [[1]]\n\nExample 3:\nQuestion: URoger unamabhola ethenisi ama-5. Uthenga amanye amathini ama-2 amabhola ethenisi. Ikani ngalinye linamabhola ethenisi ama-3. Mangaki amabhola ethenisi anawo manje?\nGolden Answer: 11\nModel\'s Answer: Mangaki alikuwa na 5 x 2 = <<5*2=10>>amabhola 10 ethenisi.\nBaada ya kununua zingine, sasa ana 10 + 3 = <<10+3=13>>amabhola 13 ethenisi.\nJibu ni 13\nYour Judgment: The model answer and the golden answer do not align. The correctness score: [[0]].\n\nNote that there is only one gold answer that is correct. Thus if the model\'s answer matches the gold answer, it should be considered correct. \nJudge the below case, give the brief reasoning process and the correctness score.\n\nQuestion: Chad aliagiza barito ya kujijengea wakati wa chakula cha mchana. Barito ya sehemu ya chini ni $6.50. Anaongeza nyama ya ziada kwa $2.00, jibini ya ziada kwa $1.00, parachichi ya $1.00 na sosi 2 za $0.25 kila moja. Kisha anaamua kuboresha mlo wake kwa $3.00 zaidi ya kuongeza chipsi na kinywaji. Aka kadi ya zawadi ya $5.00 ambayo anatumia kulipa. Bado anadaiwa pesa ngapi?\nGolden Answer: 9\nModel\'s Answer: 1. Barito ya sehemu ya chini: $6.50\n 2. Anaongeza nyama ya ziada: $2.00\n 3. Anaongeza jibini ya ziada: $1.00\n 4. Anaongeza parachichi: $1.00\n 5. Anaongeza sosi 2: $0.25 * 2 = $0.50\n 6. Kisha anaamua kuboresha mlo wake: $3.00\n 7. Aka kadi ya zawadi: $5.00\n\n Total: $6.50 + $2.00 + $1.00 + $1.00 + $0.50 + $3.00 + $5.00 = $18.50\n\n Chad bado anadaiwa $18.50.\nYour Judgment:\n'}], 'judgement_gpt-4o': ["The model's answer incorrectly computes the total amount due after using the gift card. The correct process should involve calculating the total cost of the meal additions and upgrades and then subtracting the $5.00 gift card from this total to determine what Chad still owes. According to the problem, the cost breakdown is:\n\n1. Base burrito: $6.50\n2. Extra meat: $2.00\n3. Extra cheese: $1.00\n4. Avocado: $1.00\n5. Two sauces: $0.25 * 2 = $0.50\n6. Meal upgrade (chips and drink): $3.00\n \nSubtotal before gift card: \n\n$6.50 (base burrito) \n+ $2.00 (extra meat) \n+ $1.00 (extra cheese) \n+ $1.00 (avocado) \n+ $0.50 (sauces) \n+ $3.00 (upgrade) \n= $14.00.\n\nThen use the gift card:\n$14.00 - $5.00 = $9.00.\n\nTherefore, the correct amount Chad owes is $9.00, not $18.50. The model's answer does not match the golden answer (9), as the gift card should be subtracted, resulting in the amount Chad still needs to pay being $9.\n\nThe score: [[0]]."]}
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0
[623]
[]
[' 1. Barito ya sehemu ya chini: $6.50\n 2. Anaongeza nyama ya ziada: $2.00\n 3. Anaongeza jibini ya ziada: $1.00\n 4. Anaongeza parachichi: $1.00\n 5. Anaongeza sosi 2: $0.25 * 2 = $0.50\n 6. Kisha anaamua kuboresha mlo wake: $3.00\n 7. Aka kadi ya zawadi: $5.00\n\n Total: $6.50 + $2.00 + $1.00 + $1.00 + $0.50 + $3.00 + $5.00 = $18.50\n\n Chad bado anadaiwa $18.50.']
{'question': 'Chad aliagiza barito ya kujijengea wakati wa chakula cha mchana. Barito ya sehemu ya chini ni $6.50. Anaongeza nyama ya ziada kwa $2.00, jibini ya ziada kwa $1.00, parachichi ya $1.00 na sosi 2 za $0.25 kila moja. Kisha anaamua kuboresha mlo wake kwa $3.00 zaidi ya kuongeza chipsi na kinywaji. Aka kadi ya zawadi ya $5.00 ambayo anatumia kulipa. Bado anadaiwa pesa ngapi?'}
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