templates 146 files
Browse filesThis view is limited to 50 files because it contains too many changes. See raw diff
- raw_tmpl/tp_tp5_1791579750_00000.jsonl +0 -0
- raw_tmpl/tp_tp5_1791579750_00001.jsonl +0 -0
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- raw_tmpl/tp_tp5b_1791581830_00019.jsonl +0 -0
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- raw_tmpl/tp_tp5bd_1791583320_00000.jsonl +0 -0
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- raw_tmpl/tp_tp5bd_1791583320_00002.jsonl +0 -0
- raw_tmpl/tp_tp5bd_1791583320_00003.jsonl +0 -0
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- raw_tmpl/tp_tp5bd_1791583320_00005.jsonl +0 -0
- raw_tmpl/tp_tp5bd_1791583320_00006.jsonl +0 -0
- raw_tmpl/tp_tp5bd_1791583320_00007.jsonl +0 -0
- raw_tmpl/tp_tp5bd_1791583320_00008.jsonl +0 -0
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| 1 |
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{"prompt": "Question: The obsidian stone block used in the fountain has a density of 2.8 g/cm³. If the stone block has a volume of 750 cm³, what is its mass in grams?\nAnswer:", "response": " mass = density × volume\nmass = 2.8 g/cm³ × 750 cm³\nmass = 2100 g\n#### 2100", "source": "tp_science_calc", "tid": "ed1bb57393", "level": "general"}
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| 2 |
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{"prompt": "Question: The granite sculpture block used in the archway has a density of 1.6 g/cm³. If the sculpture block has a volume of 1000 cm³, what is its mass in grams?\nAnswer:", "response": " mass = density × volume\nmass = 1.6 g/cm³ × 1000 cm³\nmass = 1600 g\n#### 1600", "source": "tp_science_calc", "tid": "ed1bb57393", "level": "general"}
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| 3 |
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{"prompt": "Question: The limestone sculpture block used in the museum has a density of 3.1 g/cm³. If the sculpture block has a volume of 1570 cm³, what is its mass in grams?\nAnswer:", "response": " mass = density × volume\nmass = 3.1 g/cm³ × 1570 cm³\nmass = 4867 g\n#### 4867", "source": "tp_science_calc", "tid": "ed1bb57393", "level": "general"}
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| 4 |
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{"prompt": "Question: The alabaster sample used in the display has a density of 3.0 g/cm³. If the sample has a volume of 1930 cm³, what is its mass in grams?\nAnswer:", "response": " mass = density × volume\nmass = 3.0 g/cm³ × 1930 cm³\nmass = 5790 g\n#### 5790", "source": "tp_science_calc", "tid": "ed1bb57393", "level": "general"}
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| 5 |
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{"prompt": "Question: A prism made of limestone in the display has a density of 2.8 g/cm³. If its volume is 770 cm³, what is its mass in grams?\nAnswer:", "response": " mass = density × volume\nmass = 2.8 g/cm³ × 770 cm³\nmass = 2156 g\n#### 2156", "source": "tp_science_calc", "tid": "ed1bb57393", "level": "general"}
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| 6 |
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{"prompt": "Question: A prism made of obsidian in the monument has a density of 3.0 g/cm³. If its volume is 1520 cm³, what is its mass in grams?\nAnswer:", "response": " mass = density × volume\nmass = 3.0 g/cm³ × 1520 cm³\nmass = 4560 g\n#### 4560", "source": "tp_science_calc", "tid": "ed1bb57393", "level": "general"}
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| 7 |
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{"prompt": "Question: A limestone decorative block for the plaza has a density of 2.6 g/cm³. If its volume is 640 cm³, what is its mass in grams?\nAnswer:", "response": " mass = density × volume\nmass = 2.6 g/cm³ × 640 cm³\nmass = 1664 g\n#### 1664", "source": "tp_science_calc", "tid": "ed1bb57393", "level": "general"}
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| 8 |
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{"prompt": "Question: A tile made of quartz in the museum has a density of 1.6 g/cm³. If its volume is 940 cm³, what is its mass in grams?\nAnswer:", "response": " mass = density × volume\nmass = 1.6 g/cm³ × 940 cm³\nmass = 1504 g\n#### 1504", "source": "tp_science_calc", "tid": "ed1bb57393", "level": "general"}
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| 9 |
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{"prompt": "Question: A alabaster stone block for the garden has a density of 3.1 g/cm³. If its volume is 1630 cm³, what is its mass in grams?\nAnswer:", "response": " mass = density × volume\nmass = 3.1 g/cm³ × 1630 cm³\nmass = 5053 g\n#### 5053", "source": "tp_science_calc", "tid": "ed1bb57393", "level": "general"}
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| 10 |
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{"prompt": "Question: A soapstone sample for the garden has a density of 2.0 g/cm³. If its volume is 530 cm³, what is its mass in grams?\nAnswer:", "response": " mass = density × volume\nmass = 2.0 g/cm³ × 530 cm³\nmass = 1060 g\n#### 1060", "source": "tp_science_calc", "tid": "ed1bb57393", "level": "general"}
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| 11 |
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{"prompt": "Question: The granite panel used in the archway has a density of 3.4 g/cm³. If the panel has a volume of 1130 cm³, what is its mass in grams?\nAnswer:", "response": " mass = density × volume\nmass = 3.4 g/cm³ × 1130 cm³\nmass = 3842 g\n#### 3842", "source": "tp_science_calc", "tid": "ed1bb57393", "level": "general"}
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| 12 |
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{"prompt": "Question: A sculpture block made of marble in the archway has a density of 2.6 g/cm³. If its volume is 1140 cm³, what is its mass in grams?\nAnswer:", "response": " mass = density × volume\nmass = 2.6 g/cm³ × 1140 cm³\nmass = 2964 g\n#### 2964", "source": "tp_science_calc", "tid": "ed1bb57393", "level": "general"}
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| 13 |
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{"prompt": "Question: A tile made of basalt in the archway has a density of 2.5 g/cm³. If its volume is 900 cm³, what is its mass in grams?\nAnswer:", "response": " mass = density × volume\nmass = 2.5 g/cm³ × 900 cm³\nmass = 2250 g\n#### 2250", "source": "tp_science_calc", "tid": "ed1bb57393", "level": "general"}
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| 14 |
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{"prompt": "Question: A basalt panel for the memorial has a density of 3.0 g/cm³. If its volume is 1150 cm³, what is its mass in grams?\nAnswer:", "response": " mass = density × volume\nmass = 3.0 g/cm³ × 1150 cm³\nmass = 3450 g\n#### 3450", "source": "tp_science_calc", "tid": "ed1bb57393", "level": "general"}
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| 15 |
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{"prompt": "Question: The limestone decorative block used in the monument has a density of 3.1 g/cm³. If the decorative block has a volume of 510 cm³, what is its mass in grams?\nAnswer:", "response": " mass = density × volume\nmass = 3.1 g/cm³ × 510 cm³\nmass = 1581 g\n#### 1581", "source": "tp_science_calc", "tid": "ed1bb57393", "level": "general"}
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| 16 |
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{"prompt": "Question: The soapstone cube used in the archway has a density of 1.8 g/cm³. If the cube has a volume of 1270 cm³, what is its mass in grams?\nAnswer:", "response": " mass = density × volume\nmass = 1.8 g/cm³ × 1270 cm³\nmass = 2286 g\n#### 2286", "source": "tp_science_calc", "tid": "ed1bb57393", "level": "general"}
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| 17 |
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{"prompt": "Question: The alabaster stone block used in the museum has a density of 2.6 g/cm³. If the stone block has a volume of 1490 cm³, what is its mass in grams?\nAnswer:", "response": " mass = density × volume\nmass = 2.6 g/cm³ × 1490 cm³\nmass = 3874 g\n#### 3874", "source": "tp_science_calc", "tid": "ed1bb57393", "level": "general"}
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| 18 |
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{"prompt": "Question: The limestone prism used in the garden has a density of 3.0 g/cm³. If the prism has a volume of 1590 cm³, what is its mass in grams?\nAnswer:", "response": " mass = density × volume\nmass = 3.0 g/cm³ × 1590 cm³\nmass = 4770 g\n#### 4770", "source": "tp_science_calc", "tid": "ed1bb57393", "level": "general"}
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| 19 |
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{"prompt": "Question: A granite prism for the display has a density of 2.7 g/cm³. If its volume is 1510 cm³, what is its mass in grams?\nAnswer:", "response": " mass = density × volume\nmass = 2.7 g/cm³ × 1510 cm³\nmass = 4077 g\n#### 4077", "source": "tp_science_calc", "tid": "ed1bb57393", "level": "general"}
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| 20 |
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{"prompt": "Question: The limestone tile used in the garden has a density of 1.6 g/cm³. If the tile has a volume of 1350 cm³, what is its mass in grams?\nAnswer:", "response": " mass = density × volume\nmass = 1.6 g/cm³ × 1350 cm³\nmass = 2160 g\n#### 2160", "source": "tp_science_calc", "tid": "ed1bb57393", "level": "general"}
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| 21 |
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{"prompt": "Question: The soapstone sculpture block used in the archway has a density of 1.8 g/cm³. If the sculpture block has a volume of 560 cm³, what is its mass in grams?\nAnswer:", "response": " mass = density × volume\nmass = 1.8 g/cm³ × 560 cm³\nmass = 1008 g\n#### 1008", "source": "tp_science_calc", "tid": "ed1bb57393", "level": "general"}
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| 22 |
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{"prompt": "Question: A cube made of basalt in the display has a density of 3.1 g/cm³. If its volume is 1800 cm³, what is its mass in grams?\nAnswer:", "response": " mass = density × volume\nmass = 3.1 g/cm³ × 1800 cm³\nmass = 5580 g\n#### 5580", "source": "tp_science_calc", "tid": "ed1bb57393", "level": "general"}
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| 23 |
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{"prompt": "Question: A panel made of alabaster in the garden has a density of 1.9 g/cm³. If its volume is 1550 cm³, what is its mass in grams?\nAnswer:", "response": " mass = density × volume\nmass = 1.9 g/cm³ × 1550 cm³\nmass = 2945 g\n#### 2945", "source": "tp_science_calc", "tid": "ed1bb57393", "level": "general"}
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| 24 |
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{"prompt": "Question: The soapstone panel used in the museum has a density of 3.0 g/cm³. If the panel has a volume of 1650 cm³, what is its mass in grams?\nAnswer:", "response": " mass = density × volume\nmass = 3.0 g/cm³ × 1650 cm³\nmass = 4950 g\n#### 4950", "source": "tp_science_calc", "tid": "ed1bb57393", "level": "general"}
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| 25 |
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{"prompt": "Question: The obsidian stone block used in the fountain has a density of 1.5 g/cm³. If the stone block has a volume of 1730 cm³, what is its mass in grams?\nAnswer:", "response": " mass = density × volume\nmass = 1.5 g/cm³ × 1730 cm³\nmass = 2595 g\n#### 2595", "source": "tp_science_calc", "tid": "ed1bb57393", "level": "general"}
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| 26 |
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{"prompt": "Question: A marble prism for the display has a density of 2.1 g/cm³. If its volume is 640 cm³, what is its mass in grams?\nAnswer:", "response": " mass = density × volume\nmass = 2.1 g/cm³ × 640 cm³\nmass = 1344 g\n#### 1344", "source": "tp_science_calc", "tid": "ed1bb57393", "level": "general"}
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| 27 |
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{"prompt": "Question: A quartz cube for the archway has a density of 1.5 g/cm³. If its volume is 1710 cm³, what is its mass in grams?\nAnswer:", "response": " mass = density × volume\nmass = 1.5 g/cm³ × 1710 cm³\nmass = 2565 g\n#### 2565", "source": "tp_science_calc", "tid": "ed1bb57393", "level": "general"}
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| 28 |
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{"prompt": "Question: A granite tile for the plaza has a density of 1.5 g/cm³. If its volume is 790 cm³, what is its mass in grams?\nAnswer:", "response": " mass = density × volume\nmass = 1.5 g/cm³ × 790 cm³\nmass = 1185 g\n#### 1185", "source": "tp_science_calc", "tid": "ed1bb57393", "level": "general"}
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| 29 |
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{"prompt": "Question: The quartz sample used in the display has a density of 2.9 g/cm³. If the sample has a volume of 1500 cm³, what is its mass in grams?\nAnswer:", "response": " mass = density × volume\nmass = 2.9 g/cm³ × 1500 cm³\nmass = 4350 g\n#### 4350", "source": "tp_science_calc", "tid": "ed1bb57393", "level": "general"}
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| 30 |
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{"prompt": "Question: The basalt cube used in the archway has a density of 3.4 g/cm³. If the cube has a volume of 1280 cm³, what is its mass in grams?\nAnswer:", "response": " mass = density × volume\nmass = 3.4 g/cm³ × 1280 cm³\nmass = 4352 g\n#### 4352", "source": "tp_science_calc", "tid": "ed1bb57393", "level": "general"}
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| 31 |
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{"prompt": "Question: A sample made of basalt in the display has a density of 1.6 g/cm³. If its volume is 1580 cm³, what is its mass in grams?\nAnswer:", "response": " mass = density × volume\nmass = 1.6 g/cm³ × 1580 cm³\nmass = 2528 g\n#### 2528", "source": "tp_science_calc", "tid": "ed1bb57393", "level": "general"}
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| 32 |
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{"prompt": "Question: The marble prism used in the memorial has a density of 3.3 g/cm³. If the prism has a volume of 1910 cm³, what is its mass in grams?\nAnswer:", "response": " mass = density × volume\nmass = 3.3 g/cm³ × 1910 cm³\nmass = 6303 g\n#### 6303", "source": "tp_science_calc", "tid": "ed1bb57393", "level": "general"}
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| 33 |
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{"prompt": "Question: A obsidian prism for the museum has a density of 2.7 g/cm³. If its volume is 1890 cm³, what is its mass in grams?\nAnswer:", "response": " mass = density × volume\nmass = 2.7 g/cm³ × 1890 cm³\nmass = 5103 g\n#### 5103", "source": "tp_science_calc", "tid": "ed1bb57393", "level": "general"}
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| 34 |
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{"prompt": "Question: A stone block made of quartz in the plaza has a density of 3.5 g/cm³. If its volume is 1030 cm³, what is its mass in grams?\nAnswer:", "response": " mass = density × volume\nmass = 3.5 g/cm³ × 1030 cm³\nmass = 3605 g\n#### 3605", "source": "tp_science_calc", "tid": "ed1bb57393", "level": "general"}
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| 35 |
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{"prompt": "Question: A granite panel for the garden has a density of 1.6 g/cm³. If its volume is 730 cm³, what is its mass in grams?\nAnswer:", "response": " mass = density × volume\nmass = 1.6 g/cm³ × 730 cm³\nmass = 1168 g\n#### 1168", "source": "tp_science_calc", "tid": "ed1bb57393", "level": "general"}
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| 36 |
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{"prompt": "Question: A basalt sculpture block for the monument has a density of 3.5 g/cm³. If its volume is 1630 cm³, what is its mass in grams?\nAnswer:", "response": " mass = density × volume\nmass = 3.5 g/cm³ × 1630 cm³\nmass = 5705 g\n#### 5705", "source": "tp_science_calc", "tid": "ed1bb57393", "level": "general"}
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| 37 |
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{"prompt": "Question: The granite stone block used in the memorial has a density of 2.8 g/cm³. If the stone block has a volume of 720 cm³, what is its mass in grams?\nAnswer:", "response": " mass = density × volume\nmass = 2.8 g/cm³ × 720 cm³\nmass = 2016 g\n#### 2016", "source": "tp_science_calc", "tid": "ed1bb57393", "level": "general"}
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| 38 |
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{"prompt": "Question: A soapstone decorative block for the garden has a density of 1.7 g/cm³. If its volume is 1620 cm³, what is its mass in grams?\nAnswer:", "response": " mass = density × volume\nmass = 1.7 g/cm³ × 1620 cm³\nmass = 2754 g\n#### 2754", "source": "tp_science_calc", "tid": "ed1bb57393", "level": "general"}
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| 39 |
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{"prompt": "Question: The quartz stone block used in the museum has a density of 1.8 g/cm³. If the stone block has a volume of 680 cm³, what is its mass in grams?\nAnswer:", "response": " mass = density × volume\nmass = 1.8 g/cm³ × 680 cm³\nmass = 1224 g\n#### 1224", "source": "tp_science_calc", "tid": "ed1bb57393", "level": "general"}
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| 40 |
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{"prompt": "Question: The granite tile used in the memorial has a density of 2.0 g/cm³. If the tile has a volume of 980 cm³, what is its mass in grams?\nAnswer:", "response": " mass = density × volume\nmass = 2.0 g/cm³ × 980 cm³\nmass = 1960 g\n#### 1960", "source": "tp_science_calc", "tid": "ed1bb57393", "level": "general"}
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| 41 |
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{"prompt": "Question: Harbor Coffee sells iced tea for $8 per cup. On Monday they sold 62 cups, and on Tuesday they sold 27% more cups than Monday. How many cups did they sell on Tuesday?\nAnswer:", "response": " 62 × 0.27 = 16.74\n62 + 16.74 = 78.74\nRound to nearest whole cup → 79\n#### 79", "source": "tp_wordproblem", "tid": "bd9c2aa592", "level": "general"}
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| 42 |
+
{"prompt": "Question: Harbor Coffee sells iced tea for $8 per cup. On Thursday they sold 63 cups, and on Friday they sold 41% more cups than Thursday. How many cups did they sell on Friday?\nAnswer:", "response": " 63 × 0.41 = 25.83\n63 + 25.83 = 88.83\nRound to nearest whole cup → 89\n#### 89", "source": "tp_wordproblem", "tid": "bd9c2aa592", "level": "general"}
|
| 43 |
+
{"prompt": "Question: Juniper Cafe sells croissants for $7 per croissant. On Friday they sold 40 croissants, and on Saturday they sold 14% more croissants than Friday. How many croissants did they sell on Saturday?\nAnswer:", "response": " 40 × 0.14 = 5.60\n40 + 5.60 = 45.60\nRound to nearest whole croissant → 46\n#### 46", "source": "tp_wordproblem", "tid": "bd9c2aa592", "level": "general"}
|
| 44 |
+
{"prompt": "Question: Harbor Coffee sells iced tea at $7 per cup. Thursday, they sold 40 cups. On Friday, they sold 34% more cups than Thursday. How many cups did they sell on Friday?\nAnswer:", "response": " 40 × 0.34 = 13.60\n40 + 13.60 = 53.60\nRound to nearest whole cup → 54\n#### 54", "source": "tp_wordproblem", "tid": "bd9c2aa592", "level": "general"}
|
| 45 |
+
{"prompt": "Question: At Harbor Coffee, iced tea costs $3 per cup. They sold 38 cups on Tuesday. On Wednesday, they sold 26% more cups than on Tuesday. How many cups did they sell on Wednesday?\nAnswer:", "response": " 38 × 0.26 = 9.88\n38 + 9.88 = 47.88\nRound to nearest whole cup → 48\n#### 48", "source": "tp_wordproblem", "tid": "bd9c2aa592", "level": "general"}
|
| 46 |
+
{"prompt": "Question: At Juniper Cafe, croissants costs $8 per croissant. They sold 74 croissants on Tuesday. On Wednesday, they sold 12% more croissants than on Tuesday. How many croissants did they sell on Wednesday?\nAnswer:", "response": " 74 × 0.12 = 8.88\n74 + 8.88 = 82.88\nRound to nearest whole croissant → 83\n#### 83", "source": "tp_wordproblem", "tid": "bd9c2aa592", "level": "general"}
|
| 47 |
+
{"prompt": "Question: Willow Bakery sells chocolate scones for $3 per scone. On Tuesday they sold 68 scones, and on Wednesday they sold 5% more scones than Tuesday. How many scones did they sell on Wednesday?\nAnswer:", "response": " 68 × 0.05 = 3.40\n68 + 3.40 = 71.40\nRound to nearest whole scone → 71\n#### 71", "source": "tp_wordproblem", "tid": "bd9c2aa592", "level": "general"}
|
| 48 |
+
{"prompt": "Question: Cedar Coffee sells house coffee for $7 per cup. On Tuesday they sold 51 cups, and on Wednesday they sold 16% more cups than Tuesday. How many cups did they sell on Wednesday?\nAnswer:", "response": " 51 × 0.16 = 8.16\n51 + 8.16 = 59.16\nRound to nearest whole cup → 59\n#### 59", "source": "tp_wordproblem", "tid": "bd9c2aa592", "level": "general"}
|
| 49 |
+
{"prompt": "Question: Juniper Cafe sells croissants for $6 per croissant. On Thursday they sold 22 croissants, and on Friday they sold 11% more croissants than Thursday. How many croissants did they sell on Friday?\nAnswer:", "response": " 22 × 0.11 = 2.42\n22 + 2.42 = 24.42\nRound to nearest whole croissant → 24\n#### 24", "source": "tp_wordproblem", "tid": "bd9c2aa592", "level": "general"}
|
| 50 |
+
{"prompt": "Question: Maple Bakehouse sells glazed donuts at $3 per donut. Friday, they sold 21 donuts. On Saturday, they sold 38% more donuts than Friday. How many donuts did they sell on Saturday?\nAnswer:", "response": " 21 × 0.38 = 7.98\n21 + 7.98 = 28.98\nRound to nearest whole donut → 29\n#### 29", "source": "tp_wordproblem", "tid": "bd9c2aa592", "level": "general"}
|
| 51 |
+
{"prompt": "Question: Harbor Coffee sells iced tea at $6 per cup. Friday, they sold 33 cups. On Saturday, they sold 14% more cups than Friday. How many cups did they sell on Saturday?\nAnswer:", "response": " 33 × 0.14 = 4.62\n33 + 4.62 = 37.62\nRound to nearest whole cup → 38\n#### 38", "source": "tp_wordproblem", "tid": "bd9c2aa592", "level": "general"}
|
| 52 |
+
{"prompt": "Question: At Willow Bakery, chocolate scones costs $5 per scone. They sold 65 scones on Monday. On Tuesday, they sold 16% more scones than on Monday. How many scones did they sell on Tuesday?\nAnswer:", "response": " 65 × 0.16 = 10.40\n65 + 10.40 = 75.40\nRound to nearest whole scone → 75\n#### 75", "source": "tp_wordproblem", "tid": "bd9c2aa592", "level": "general"}
|
| 53 |
+
{"prompt": "Question: At Willow Bakery, chocolate scones costs $4 per scone. They sold 63 scones on Tuesday. On Wednesday, they sold 18% more scones than on Tuesday. How many scones did they sell on Wednesday?\nAnswer:", "response": " 63 × 0.18 = 11.34\n63 + 11.34 = 74.34\nRound to nearest whole scone → 74\n#### 74", "source": "tp_wordproblem", "tid": "bd9c2aa592", "level": "general"}
|
| 54 |
+
{"prompt": "Question: Harbor Coffee sells iced tea for $5 per cup. On Tuesday they sold 15 cups, and on Wednesday they sold 29% more cups than Tuesday. How many cups did they sell on Wednesday?\nAnswer:", "response": " 15 × 0.29 = 4.35\n15 + 4.35 = 19.35\nRound to nearest whole cup → 19\n#### 19", "source": "tp_wordproblem", "tid": "bd9c2aa592", "level": "general"}
|
| 55 |
+
{"prompt": "Question: Juniper Cafe sells croissants at $3 per croissant. Tuesday, they sold 44 croissants. On Wednesday, they sold 7% more croissants than Tuesday. How many croissants did they sell on Wednesday?\nAnswer:", "response": " 44 × 0.07 = 3.08\n44 + 3.08 = 47.08\nRound to nearest whole croissant → 47\n#### 47", "source": "tp_wordproblem", "tid": "bd9c2aa592", "level": "general"}
|
| 56 |
+
{"prompt": "Question: Cedar Coffee sells house coffee at $5 per cup. Friday, they sold 79 cups. On Saturday, they sold 30% more cups than Friday. How many cups did they sell on Saturday?\nAnswer:", "response": " 79 × 0.30 = 23.70\n79 + 23.70 = 102.70\nRound to nearest whole cup → 103\n#### 103", "source": "tp_wordproblem", "tid": "bd9c2aa592", "level": "general"}
|
| 57 |
+
{"prompt": "Question: Willow Bakery sells chocolate scones for $8 per scone. On Friday they sold 56 scones, and on Saturday they sold 40% more scones than Friday. How many scones did they sell on Saturday?\nAnswer:", "response": " 56 × 0.40 = 22.40\n56 + 22.40 = 78.40\nRound to nearest whole scone → 78\n#### 78", "source": "tp_wordproblem", "tid": "bd9c2aa592", "level": "general"}
|
| 58 |
+
{"prompt": "Question: Harbor Coffee sells iced tea at $8 per cup. Friday, they sold 36 cups. On Saturday, they sold 11% more cups than Friday. How many cups did they sell on Saturday?\nAnswer:", "response": " 36 × 0.11 = 3.96\n36 + 3.96 = 39.96\nRound to nearest whole cup → 40\n#### 40", "source": "tp_wordproblem", "tid": "bd9c2aa592", "level": "general"}
|
| 59 |
+
{"prompt": "Question: At Harbor Coffee, iced tea costs $8 per cup. They sold 24 cups on Friday. On Saturday, they sold 19% more cups than on Friday. How many cups did they sell on Saturday?\nAnswer:", "response": " 24 × 0.19 = 4.56\n24 + 4.56 = 28.56\nRound to nearest whole cup → 29\n#### 29", "source": "tp_wordproblem", "tid": "bd9c2aa592", "level": "general"}
|
| 60 |
+
{"prompt": "Question: Cedar Coffee sells house coffee at $5 per cup. Tuesday, they sold 24 cups. On Wednesday, they sold 20% more cups than Tuesday. How many cups did they sell on Wednesday?\nAnswer:", "response": " 24 × 0.20 = 4.80\n24 + 4.80 = 28.80\nRound to nearest whole cup → 29\n#### 29", "source": "tp_wordproblem", "tid": "bd9c2aa592", "level": "general"}
|
| 61 |
+
{"prompt": "Question: Cedar Coffee sells house coffee for $3 per cup. On Friday they sold 63 cups, and on Saturday they sold 42% more cups than Friday. How many cups did they sell on Saturday?\nAnswer:", "response": " 63 × 0.42 = 26.46\n63 + 26.46 = 89.46\nRound to nearest whole cup → 89\n#### 89", "source": "tp_wordproblem", "tid": "bd9c2aa592", "level": "general"}
|
| 62 |
+
{"prompt": "Question: At Juniper Cafe, croissants costs $7 per croissant. They sold 43 croissants on Tuesday. On Wednesday, they sold 21% more croissants than on Tuesday. How many croissants did they sell on Wednesday?\nAnswer:", "response": " 43 × 0.21 = 9.03\n43 + 9.03 = 52.03\nRound to nearest whole croissant → 52\n#### 52", "source": "tp_wordproblem", "tid": "bd9c2aa592", "level": "general"}
|
| 63 |
+
{"prompt": "Question: At Maple Bakehouse, glazed donuts costs $6 per donut. They sold 23 donuts on Thursday. On Friday, they sold 30% more donuts than on Thursday. How many donuts did they sell on Friday?\nAnswer:", "response": " 23 × 0.30 = 6.90\n23 + 6.90 = 29.90\nRound to nearest whole donut → 30\n#### 30", "source": "tp_wordproblem", "tid": "bd9c2aa592", "level": "general"}
|
| 64 |
+
{"prompt": "Question: Harbor Coffee sells iced tea at $8 per cup. Friday, they sold 73 cups. On Saturday, they sold 13% more cups than Friday. How many cups did they sell on Saturday?\nAnswer:", "response": " 73 × 0.13 = 9.49\n73 + 9.49 = 82.49\nRound to nearest whole cup → 82\n#### 82", "source": "tp_wordproblem", "tid": "bd9c2aa592", "level": "general"}
|
| 65 |
+
{"prompt": "Question: Cedar Coffee sells house coffee for $6 per cup. On Friday they sold 53 cups, and on Saturday they sold 38% more cups than Friday. How many cups did they sell on Saturday?\nAnswer:", "response": " 53 × 0.38 = 20.14\n53 + 20.14 = 73.14\nRound to nearest whole cup → 73\n#### 73", "source": "tp_wordproblem", "tid": "bd9c2aa592", "level": "general"}
|
| 66 |
+
{"prompt": "Question: Maple Bakehouse sells glazed donuts for $3 per donut. On Monday they sold 38 donuts, and on Tuesday they sold 27% more donuts than Monday. How many donuts did they sell on Tuesday?\nAnswer:", "response": " 38 × 0.27 = 10.26\n38 + 10.26 = 48.26\nRound to nearest whole donut → 48\n#### 48", "source": "tp_wordproblem", "tid": "bd9c2aa592", "level": "general"}
|
| 67 |
+
{"prompt": "Question: Cedar Coffee sells house coffee for $6 per cup. On Thursday they sold 61 cups, and on Friday they sold 21% more cups than Thursday. How many cups did they sell on Friday?\nAnswer:", "response": " 61 × 0.21 = 12.81\n61 + 12.81 = 73.81\nRound to nearest whole cup → 74\n#### 74", "source": "tp_wordproblem", "tid": "bd9c2aa592", "level": "general"}
|
| 68 |
+
{"prompt": "Question: Cedar Coffee sells house coffee for $3 per cup. On Monday they sold 74 cups, and on Tuesday they sold 19% more cups than Monday. How many cups did they sell on Tuesday?\nAnswer:", "response": " 74 × 0.19 = 14.06\n74 + 14.06 = 88.06\nRound to nearest whole cup → 88\n#### 88", "source": "tp_wordproblem", "tid": "bd9c2aa592", "level": "general"}
|
| 69 |
+
{"prompt": "Question: Harbor Coffee sells iced tea at $7 per cup. Friday, they sold 44 cups. On Saturday, they sold 17% more cups than Friday. How many cups did they sell on Saturday?\nAnswer:", "response": " 44 × 0.17 = 7.48\n44 + 7.48 = 51.48\nRound to nearest whole cup → 51\n#### 51", "source": "tp_wordproblem", "tid": "bd9c2aa592", "level": "general"}
|
| 70 |
+
{"prompt": "Question: Juniper Cafe sells croissants for $6 per croissant. On Thursday they sold 60 croissants, and on Friday they sold 27% more croissants than Thursday. How many croissants did they sell on Friday?\nAnswer:", "response": " 60 × 0.27 = 16.20\n60 + 16.20 = 76.20\nRound to nearest whole croissant → 76\n#### 76", "source": "tp_wordproblem", "tid": "bd9c2aa592", "level": "general"}
|
| 71 |
+
{"prompt": "Question: At Cedar Coffee, house coffee costs $6 per cup. They sold 36 cups on Tuesday. On Wednesday, they sold 33% more cups than on Tuesday. How many cups did they sell on Wednesday?\nAnswer:", "response": " 36 × 0.33 = 11.88\n36 + 11.88 = 47.88\nRound to nearest whole cup → 48\n#### 48", "source": "tp_wordproblem", "tid": "bd9c2aa592", "level": "general"}
|
| 72 |
+
{"prompt": "Question: Willow Bakery sells chocolate scones at $3 per scone. Thursday, they sold 47 scones. On Friday, they sold 34% more scones than Thursday. How many scones did they sell on Friday?\nAnswer:", "response": " 47 × 0.34 = 15.98\n47 + 15.98 = 62.98\nRound to nearest whole scone → 63\n#### 63", "source": "tp_wordproblem", "tid": "bd9c2aa592", "level": "general"}
|
| 73 |
+
{"prompt": "Question: Harbor Coffee sells iced tea for $8 per cup. On Friday they sold 32 cups, and on Saturday they sold 26% more cups than Friday. How many cups did they sell on Saturday?\nAnswer:", "response": " 32 × 0.26 = 8.32\n32 + 8.32 = 40.32\nRound to nearest whole cup → 40\n#### 40", "source": "tp_wordproblem", "tid": "bd9c2aa592", "level": "general"}
|
| 74 |
+
{"prompt": "Question: At Alpine Roasters, espresso drinks costs $4 per cup. They sold 70 cups on Thursday. On Friday, they sold 9% more cups than on Thursday. How many cups did they sell on Friday?\nAnswer:", "response": " 70 × 0.09 = 6.30\n70 + 6.30 = 76.30\nRound to nearest whole cup → 76\n#### 76", "source": "tp_wordproblem", "tid": "bd9c2aa592", "level": "general"}
|
| 75 |
+
{"prompt": "Question: Cedar Coffee sells house coffee at $8 per cup. Monday, they sold 22 cups. On Tuesday, they sold 11% more cups than Monday. How many cups did they sell on Tuesday?\nAnswer:", "response": " 22 × 0.11 = 2.42\n22 + 2.42 = 24.42\nRound to nearest whole cup → 24\n#### 24", "source": "tp_wordproblem", "tid": "bd9c2aa592", "level": "general"}
|
| 76 |
+
{"prompt": "Question: Alpine Roasters sells espresso drinks for $6 per cup. On Tuesday they sold 45 cups, and on Wednesday they sold 15% more cups than Tuesday. How many cups did they sell on Wednesday?\nAnswer:", "response": " 45 × 0.15 = 6.75\n45 + 6.75 = 51.75\nRound to nearest whole cup → 52\n#### 52", "source": "tp_wordproblem", "tid": "bd9c2aa592", "level": "general"}
|
| 77 |
+
{"prompt": "Question: Harbor Coffee sells iced tea for $8 per cup. On Monday they sold 20 cups, and on Tuesday they sold 7% more cups than Monday. How many cups did they sell on Tuesday?\nAnswer:", "response": " 20 × 0.07 = 1.40\n20 + 1.40 = 21.40\nRound to nearest whole cup → 21\n#### 21", "source": "tp_wordproblem", "tid": "bd9c2aa592", "level": "general"}
|
| 78 |
+
{"prompt": "Question: Cedar Coffee sells house coffee for $6 per cup. On Friday they sold 25 cups, and on Saturday they sold 7% more cups than Friday. How many cups did they sell on Saturday?\nAnswer:", "response": " 25 × 0.07 = 1.75\n25 + 1.75 = 26.75\nRound to nearest whole cup → 27\n#### 27", "source": "tp_wordproblem", "tid": "bd9c2aa592", "level": "general"}
|
| 79 |
+
{"prompt": "Question: Cedar Coffee sells house coffee at $3 per cup. Thursday, they sold 31 cups. On Friday, they sold 12% more cups than Thursday. How many cups did they sell on Friday?\nAnswer:", "response": " 31 × 0.12 = 3.72\n31 + 3.72 = 34.72\nRound to nearest whole cup → 35\n#### 35", "source": "tp_wordproblem", "tid": "bd9c2aa592", "level": "general"}
|
| 80 |
+
{"prompt": "Question: Alpine Roasters sells espresso drinks for $8 per cup. On Tuesday they sold 36 cups, and on Wednesday they sold 11% more cups than Tuesday. How many cups did they sell on Wednesday?\nAnswer:", "response": " 36 × 0.11 = 3.96\n36 + 3.96 = 39.96\nRound to nearest whole cup → 40\n#### 40", "source": "tp_wordproblem", "tid": "bd9c2aa592", "level": "general"}
|
| 81 |
+
{"prompt": "Question: a regional program has 5 delegates, one per region. Each panel must contain exactly 3 members from different regions. Each delegate must lead 2 panels. How many total panel members are involved?\nAnswer:", "response": " Delegates = 5\nPanels per delegate = 2 → total panels = 5×2 = 10\nMembers per panel = 3 → total members = 10×3 = 30\n#### 30", "source": "tp_wordproblem", "tid": "274c55fe72", "level": "general"}
|
| 82 |
+
{"prompt": "Question: Each committee must contain exactly 2 members from different campuses. Each liaison must lead 3 committees. a community program has 2 liaisons, one per campus. How many total committee members are involved?\nAnswer:", "response": " Liaisons = 2\nCommittees per liaison = 3 → total committees = 2×3 = 6\nMembers per committee = 2 → total members = 6×2 = 12\n#### 12", "source": "tp_wordproblem", "tid": "274c55fe72", "level": "general"}
|
| 83 |
+
{"prompt": "Question: Each squad must contain exactly 2 members from different districts. a community project has 6 coordinators, one per district. Each coordinator must lead 5 squads. How many total squad members are involved?\nAnswer:", "response": " Coordinators = 6\nSquads per coordinator = 5 → total squads = 6×5 = 30\nMembers per squad = 2 → total members = 30×2 = 60\n#### 60", "source": "tp_wordproblem", "tid": "274c55fe72", "level": "general"}
|
| 84 |
+
{"prompt": "Question: a community program has 5 representatives, one per campus. Each representative must lead 4 groups. Each group must contain exactly 2 members from different campuses. How many total group members are involved?\nAnswer:", "response": " Representatives = 5\nGroups per representative = 4 → total groups = 5×4 = 20\nMembers per group = 2 → total members = 20×2 = 40\n#### 40", "source": "tp_wordproblem", "tid": "274c55fe72", "level": "general"}
|
| 85 |
+
{"prompt": "Question: a corporate project has 5 liaisons, one per division. Each liaison must lead 2 groups. Each group must contain exactly 4 members from different divisions. How many total group members are involved?\nAnswer:", "response": " Liaisons = 5\nGroups per liaison = 2 → total groups = 5×2 = 10\nMembers per group = 4 → total members = 10×4 = 40\n#### 40", "source": "tp_wordproblem", "tid": "274c55fe72", "level": "general"}
|
| 86 |
+
{"prompt": "Question: Each representative must lead 5 squads. an international project has 5 representatives, one per division. Each squad must contain exactly 4 members from different divisions. How many total squad members are involved?\nAnswer:", "response": " Representatives = 5\nSquads per representative = 5 → total squads = 5×5 = 25\nMembers per squad = 4 → total members = 25×4 = 100\n#### 100", "source": "tp_wordproblem", "tid": "274c55fe72", "level": "general"}
|
| 87 |
+
{"prompt": "Question: Each committee must contain exactly 2 members from different regions. a university program has 4 representatives, one per region. Each representative must lead 2 committees. How many total committee members are involved?\nAnswer:", "response": " Representatives = 4\nCommittees per representative = 2 → total committees = 4×2 = 8\nMembers per committee = 2 → total members = 8×2 = 16\n#### 16", "source": "tp_wordproblem", "tid": "274c55fe72", "level": "general"}
|
| 88 |
+
{"prompt": "Question: Each group must contain exactly 3 members from different districts. a global project has 2 coordinators, one per district. Each coordinator must lead 3 groups. How many total group members are involved?\nAnswer:", "response": " Coordinators = 2\nGroups per coordinator = 3 → total groups = 2×3 = 6\nMembers per group = 3 → total members = 6×3 = 18\n#### 18", "source": "tp_wordproblem", "tid": "274c55fe72", "level": "general"}
|
| 89 |
+
{"prompt": "Question: Each team must contain exactly 3 members from different regions. a corporate project has 6 ambassadors, one per region. Each ambassador must lead 5 teams. How many total team members are involved?\nAnswer:", "response": " Ambassadors = 6\nTeams per ambassador = 5 → total teams = 6×5 = 30\nMembers per team = 3 → total members = 30×3 = 90\n#### 90", "source": "tp_wordproblem", "tid": "274c55fe72", "level": "general"}
|
| 90 |
+
{"prompt": "Question: a regional project has 3 ambassadors, one per division. Each ambassador must lead 2 panels. Each panel must contain exactly 3 members from different divisions. How many total panel members are involved?\nAnswer:", "response": " Ambassadors = 3\nPanels per ambassador = 2 → total panels = 3×2 = 6\nMembers per panel = 3 → total members = 6×3 = 18\n#### 18", "source": "tp_wordproblem", "tid": "274c55fe72", "level": "general"}
|
| 91 |
+
{"prompt": "Question: a community project has 6 ambassadors, one per campus. Each ambassador must lead 3 panels. Each panel must contain exactly 4 members from different campuses. How many total panel members are involved?\nAnswer:", "response": " Ambassadors = 6\nPanels per ambassador = 3 → total panels = 6×3 = 18\nMembers per panel = 4 → total members = 18×4 = 72\n#### 72", "source": "tp_wordproblem", "tid": "274c55fe72", "level": "general"}
|
| 92 |
+
{"prompt": "Question: Each panel must contain exactly 2 members from different districts. Each representative must lead 4 panels. a community program has 4 representatives, one per district. How many total panel members are involved?\nAnswer:", "response": " Representatives = 4\nPanels per representative = 4 → total panels = 4×4 = 16\nMembers per panel = 2 → total members = 16×2 = 32\n#### 32", "source": "tp_wordproblem", "tid": "274c55fe72", "level": "general"}
|
| 93 |
+
{"prompt": "Question: Each squad must contain exactly 4 members from different provinces. a corporate program has 5 ambassadors, one per province. Each ambassador must lead 3 squads. How many total squad members are involved?\nAnswer:", "response": " Ambassadors = 5\nSquads per ambassador = 3 → total squads = 5×3 = 15\nMembers per squad = 4 → total members = 15×4 = 60\n#### 60", "source": "tp_wordproblem", "tid": "274c55fe72", "level": "general"}
|
| 94 |
+
{"prompt": "Question: a global program has 5 coordinators, one per division. Each coordinator must lead 4 groups. Each group must contain exactly 4 members from different divisions. How many total group members are involved?\nAnswer:", "response": " Coordinators = 5\nGroups per coordinator = 4 → total groups = 5×4 = 20\nMembers per group = 4 → total members = 20×4 = 80\n#### 80", "source": "tp_wordproblem", "tid": "274c55fe72", "level": "general"}
|
| 95 |
+
{"prompt": "Question: Each delegate must lead 2 panels. Each panel must contain exactly 2 members from different regions. a community project has 6 delegates, one per region. How many total panel members are involved?\nAnswer:", "response": " Delegates = 6\nPanels per delegate = 2 → total panels = 6×2 = 12\nMembers per panel = 2 → total members = 12×2 = 24\n#### 24", "source": "tp_wordproblem", "tid": "274c55fe72", "level": "general"}
|
| 96 |
+
{"prompt": "Question: Each liaison must lead 4 squads. a community program has 2 liaisons, one per campus. Each squad must contain exactly 3 members from different campuses. How many total squad members are involved?\nAnswer:", "response": " Liaisons = 2\nSquads per liaison = 4 → total squads = 2×4 = 8\nMembers per squad = 3 → total members = 8×3 = 24\n#### 24", "source": "tp_wordproblem", "tid": "274c55fe72", "level": "general"}
|
| 97 |
+
{"prompt": "Question: Each delegate must lead 5 committees. Each committee must contain exactly 4 members from different divisions. a corporate project has 4 delegates, one per division. How many total committee members are involved?\nAnswer:", "response": " Delegates = 4\nCommittees per delegate = 5 → total committees = 4×5 = 20\nMembers per committee = 4 → total members = 20×4 = 80\n#### 80", "source": "tp_wordproblem", "tid": "274c55fe72", "level": "general"}
|
| 98 |
+
{"prompt": "Question: Each ambassador must lead 5 squads. a global program has 5 ambassadors, one per province. Each squad must contain exactly 2 members from different provinces. How many total squad members are involved?\nAnswer:", "response": " Ambassadors = 5\nSquads per ambassador = 5 → total squads = 5×5 = 25\nMembers per squad = 2 → total members = 25×2 = 50\n#### 50", "source": "tp_wordproblem", "tid": "274c55fe72", "level": "general"}
|
| 99 |
+
{"prompt": "Question: Each group must contain exactly 4 members from different districts. an international project has 5 ambassadors, one per district. Each ambassador must lead 5 groups. How many total group members are involved?\nAnswer:", "response": " Ambassadors = 5\nGroups per ambassador = 5 → total groups = 5×5 = 25\nMembers per group = 4 → total members = 25×4 = 100\n#### 100", "source": "tp_wordproblem", "tid": "274c55fe72", "level": "general"}
|
| 100 |
+
{"prompt": "Question: Each ambassador must lead 4 panels. Each panel must contain exactly 2 members from different districts. a university project has 2 ambassadors, one per district. How many total panel members are involved?\nAnswer:", "response": " Ambassadors = 2\nPanels per ambassador = 4 → total panels = 2×4 = 8\nMembers per panel = 2 → total members = 8×2 = 16\n#### 16", "source": "tp_wordproblem", "tid": "274c55fe72", "level": "general"}
|
| 101 |
+
{"prompt": "Question: Each committee must contain exactly 3 members from different divisions. Each representative must lead 2 committees. an international project has 2 representatives, one per division. How many total committee members are involved?\nAnswer:", "response": " Representatives = 2\nCommittees per representative = 2 → total committees = 2×2 = 4\nMembers per committee = 3 → total members = 4×3 = 12\n#### 12", "source": "tp_wordproblem", "tid": "274c55fe72", "level": "general"}
|
| 102 |
+
{"prompt": "Question: Each group must contain exactly 4 members from different provinces. Each coordinator must lead 3 groups. a community program has 6 coordinators, one per province. How many total group members are involved?\nAnswer:", "response": " Coordinators = 6\nGroups per coordinator = 3 → total groups = 6×3 = 18\nMembers per group = 4 → total members = 18×4 = 72\n#### 72", "source": "tp_wordproblem", "tid": "274c55fe72", "level": "general"}
|
| 103 |
+
{"prompt": "Question: Each panel must contain exactly 4 members from different regions. Each delegate must lead 5 panels. a university project has 3 delegates, one per region. How many total panel members are involved?\nAnswer:", "response": " Delegates = 3\nPanels per delegate = 5 → total panels = 3×5 = 15\nMembers per panel = 4 → total members = 15×4 = 60\n#### 60", "source": "tp_wordproblem", "tid": "274c55fe72", "level": "general"}
|
| 104 |
+
{"prompt": "Question: Each coordinator must lead 5 squads. Each squad must contain exactly 3 members from different campuses. a global program has 5 coordinators, one per campus. How many total squad members are involved?\nAnswer:", "response": " Coordinators = 5\nSquads per coordinator = 5 → total squads = 5×5 = 25\nMembers per squad = 3 → total members = 25×3 = 75\n#### 75", "source": "tp_wordproblem", "tid": "274c55fe72", "level": "general"}
|
| 105 |
+
{"prompt": "Question: Each team must contain exactly 3 members from different divisions. Each delegate must lead 5 teams. a community program has 2 delegates, one per division. How many total team members are involved?\nAnswer:", "response": " Delegates = 2\nTeams per delegate = 5 → total teams = 2×5 = 10\nMembers per team = 3 → total members = 10×3 = 30\n#### 30", "source": "tp_wordproblem", "tid": "274c55fe72", "level": "general"}
|
| 106 |
+
{"prompt": "Question: Each coordinator must lead 2 committees. Each committee must contain exactly 2 members from different provinces. a corporate project has 3 coordinators, one per province. How many total committee members are involved?\nAnswer:", "response": " Coordinators = 3\nCommittees per coordinator = 2 → total committees = 3×2 = 6\nMembers per committee = 2 → total members = 6×2 = 12\n#### 12", "source": "tp_wordproblem", "tid": "274c55fe72", "level": "general"}
|
| 107 |
+
{"prompt": "Question: Each representative must lead 5 committees. Each committee must contain exactly 3 members from different provinces. a university program has 2 representatives, one per province. How many total committee members are involved?\nAnswer:", "response": " Representatives = 2\nCommittees per representative = 5 → total committees = 2×5 = 10\nMembers per committee = 3 → total members = 10×3 = 30\n#### 30", "source": "tp_wordproblem", "tid": "274c55fe72", "level": "general"}
|
| 108 |
+
{"prompt": "Question: Each committee must contain exactly 2 members from different campuses. a global program has 2 liaisons, one per campus. Each liaison must lead 2 committees. How many total committee members are involved?\nAnswer:", "response": " Liaisons = 2\nCommittees per liaison = 2 → total committees = 2×2 = 4\nMembers per committee = 2 → total members = 4×2 = 8\n#### 8", "source": "tp_wordproblem", "tid": "274c55fe72", "level": "general"}
|
| 109 |
+
{"prompt": "Question: an international program has 5 delegates, one per district. Each panel must contain exactly 4 members from different districts. Each delegate must lead 5 panels. How many total panel members are involved?\nAnswer:", "response": " Delegates = 5\nPanels per delegate = 5 → total panels = 5×5 = 25\nMembers per panel = 4 → total members = 25×4 = 100\n#### 100", "source": "tp_wordproblem", "tid": "274c55fe72", "level": "general"}
|
| 110 |
+
{"prompt": "Question: Each liaison must lead 4 committees. Each committee must contain exactly 4 members from different divisions. a corporate program has 6 liaisons, one per division. How many total committee members are involved?\nAnswer:", "response": " Liaisons = 6\nCommittees per liaison = 4 → total committees = 6×4 = 24\nMembers per committee = 4 → total members = 24×4 = 96\n#### 96", "source": "tp_wordproblem", "tid": "274c55fe72", "level": "general"}
|
| 111 |
+
{"prompt": "Question: a university program has 2 coordinators, one per district. Each coordinator must lead 5 panels. Each panel must contain exactly 4 members from different districts. How many total panel members are involved?\nAnswer:", "response": " Coordinators = 2\nPanels per coordinator = 5 → total panels = 2×5 = 10\nMembers per panel = 4 → total members = 10×4 = 40\n#### 40", "source": "tp_wordproblem", "tid": "274c55fe72", "level": "general"}
|
| 112 |
+
{"prompt": "Question: Each delegate must lead 2 teams. Each team must contain exactly 2 members from different provinces. an international program has 6 delegates, one per province. How many total team members are involved?\nAnswer:", "response": " Delegates = 6\nTeams per delegate = 2 → total teams = 6×2 = 12\nMembers per team = 2 → total members = 12×2 = 24\n#### 24", "source": "tp_wordproblem", "tid": "274c55fe72", "level": "general"}
|
| 113 |
+
{"prompt": "Question: an international project has 5 delegates, one per district. Each delegate must lead 5 panels. Each panel must contain exactly 2 members from different districts. How many total panel members are involved?\nAnswer:", "response": " Delegates = 5\nPanels per delegate = 5 → total panels = 5×5 = 25\nMembers per panel = 2 → total members = 25×2 = 50\n#### 50", "source": "tp_wordproblem", "tid": "274c55fe72", "level": "general"}
|
| 114 |
+
{"prompt": "Question: Each ambassador must lead 4 committees. a global program has 3 ambassadors, one per region. Each committee must contain exactly 3 members from different regions. How many total committee members are involved?\nAnswer:", "response": " Ambassadors = 3\nCommittees per ambassador = 4 → total committees = 3×4 = 12\nMembers per committee = 3 → total members = 12×3 = 36\n#### 36", "source": "tp_wordproblem", "tid": "274c55fe72", "level": "general"}
|
| 115 |
+
{"prompt": "Question: a regional program has 2 ambassadors, one per campus. Each team must contain exactly 2 members from different campuses. Each ambassador must lead 2 teams. How many total team members are involved?\nAnswer:", "response": " Ambassadors = 2\nTeams per ambassador = 2 → total teams = 2×2 = 4\nMembers per team = 2 → total members = 4×2 = 8\n#### 8", "source": "tp_wordproblem", "tid": "274c55fe72", "level": "general"}
|
| 116 |
+
{"prompt": "Question: Each team must contain exactly 3 members from different regions. a community project has 5 coordinators, one per region. Each coordinator must lead 3 teams. How many total team members are involved?\nAnswer:", "response": " Coordinators = 5\nTeams per coordinator = 3 → total teams = 5×3 = 15\nMembers per team = 3 → total members = 15×3 = 45\n#### 45", "source": "tp_wordproblem", "tid": "274c55fe72", "level": "general"}
|
| 117 |
+
{"prompt": "Question: an international program has 5 ambassadors, one per region. Each team must contain exactly 4 members from different regions. Each ambassador must lead 2 teams. How many total team members are involved?\nAnswer:", "response": " Ambassadors = 5\nTeams per ambassador = 2 → total teams = 5×2 = 10\nMembers per team = 4 → total members = 10×4 = 40\n#### 40", "source": "tp_wordproblem", "tid": "274c55fe72", "level": "general"}
|
| 118 |
+
{"prompt": "Question: Each team must contain exactly 4 members from different regions. Each representative must lead 5 teams. a global program has 2 representatives, one per region. How many total team members are involved?\nAnswer:", "response": " Representatives = 2\nTeams per representative = 5 → total teams = 2×5 = 10\nMembers per team = 4 → total members = 10×4 = 40\n#### 40", "source": "tp_wordproblem", "tid": "274c55fe72", "level": "general"}
|
| 119 |
+
{"prompt": "Question: Each coordinator must lead 2 squads. Each squad must contain exactly 3 members from different regions. a community project has 2 coordinators, one per region. How many total squad members are involved?\nAnswer:", "response": " Coordinators = 2\nSquads per coordinator = 2 → total squads = 2×2 = 4\nMembers per squad = 3 → total members = 4×3 = 12\n#### 12", "source": "tp_wordproblem", "tid": "274c55fe72", "level": "general"}
|
| 120 |
+
{"prompt": "Question: a community project has 3 ambassadors, one per region. Each committee must contain exactly 4 members from different regions. Each ambassador must lead 3 committees. How many total committee members are involved?\nAnswer:", "response": " Ambassadors = 3\nCommittees per ambassador = 3 → total committees = 3×3 = 9\nMembers per committee = 4 → total members = 9×4 = 36\n#### 36", "source": "tp_wordproblem", "tid": "274c55fe72", "level": "general"}
|
| 121 |
+
{"prompt": "Question: A first-order model is used for hydrolysis of an amide bond. Under specific enzymatic conditions, the half-life of the amide bond hydrolysis is 5.0 minutes. What is the rate constant k in min⁻¹ to three significant figures?\nAnswer:", "response": " For a first-order reaction, the half-life is t1/2 = ln 2 / k\nSolving for k gives k = ln 2 / t1/2\nSubstitute t1/2 = 5.0 min\nk = ln 2 / 5.0 min\nln 2 = 0.693147\nk = 0.693147 / 5.0 min\nk = 0.138629 min^-1\nRound to three significant figures\nk = 0.139 min⁻¹\n#### 0.139 min⁻¹", "source": "tp_science_calc", "tid": "d1238d7f6e", "level": "general"}
|
| 122 |
+
{"prompt": "Question: Consider a reaction involving hydrolysis of an ester bond, which can be approximated by a first-order kinetics model. If the half-life of the ester bond cleavage under mild catalytic conditions is 20.0 minutes, calculate the rate constant k in min⁻¹ to three significant figures.\nAnswer:", "response": " For a first-order reaction, the half-life is t1/2 = ln 2 / k\nSolving for k gives k = ln 2 / t1/2\nSubstitute t1/2 = 20.0 min\nk = ln 2 / 20.0 min\nln 2 = 0.693147\nk = 0.693147 / 20.0 min\nk = 0.034657 min^-1\nRound to three significant figures\nk = 0.0347 min⁻¹\n#### 0.0347 min⁻¹", "source": "tp_science_calc", "tid": "d1238d7f6e", "level": "general"}
|
| 123 |
+
{"prompt": "Question: Consider a reaction involving cleavage of a phosphoester bond, which can be approximated by a first-order kinetics model. If the half-life of the phosphoester bond cleavage under standard enzymatic conditions is 2.0 minutes, calculate the rate constant k in min⁻¹ to three significant figures.\nAnswer:", "response": " For a first-order reaction, the half-life is t1/2 = ln 2 / k\nSolving for k gives k = ln 2 / t1/2\nSubstitute t1/2 = 2.0 min\nk = ln 2 / 2.0 min\nln 2 = 0.693147\nk = 0.693147 / 2.0 min\nk = 0.346574 min^-1\nRound to three significant figures\nk = 0.347 min⁻¹\n#### 0.347 min⁻¹", "source": "tp_science_calc", "tid": "d1238d7f6e", "level": "general"}
|
| 124 |
+
{"prompt": "Question: The amide bond hydrolysis follows first-order kinetics. If the half-life under constant temperature and pH is 2.0 minutes, calculate the rate constant k in min⁻¹ to three significant figures.\nAnswer:", "response": " For a first-order reaction, the half-life is t1/2 = ln 2 / k\nSolving for k gives k = ln 2 / t1/2\nSubstitute t1/2 = 2.0 min\nk = ln 2 / 2.0 min\nln 2 = 0.693147\nk = 0.693147 / 2.0 min\nk = 0.346574 min^-1\nRound to three significant figures\nk = 0.347 min⁻¹\n#### 0.347 min⁻¹", "source": "tp_science_calc", "tid": "d1238d7f6e", "level": "general"}
|
| 125 |
+
{"prompt": "Question: The amide bond hydrolysis follows first-order kinetics. If the half-life under specific enzymatic conditions is 12.5 minutes, calculate the rate constant k in min⁻¹ to three significant figures.\nAnswer:", "response": " For a first-order reaction, the half-life is t1/2 = ln 2 / k\nSolving for k gives k = ln 2 / t1/2\nSubstitute t1/2 = 12.5 min\nk = ln 2 / 12.5 min\nln 2 = 0.693147\nk = 0.693147 / 12.5 min\nk = 0.055452 min^-1\nRound to three significant figures\nk = 0.0555 min⁻¹\n#### 0.0555 min⁻¹", "source": "tp_science_calc", "tid": "d1238d7f6e", "level": "general"}
|
| 126 |
+
{"prompt": "Question: A first-order model is used for hydrolysis of an amide bond. Under standard enzymatic conditions, the half-life of the amide bond hydrolysis is 7.5 minutes. What is the rate constant k in min⁻¹ to three significant figures?\nAnswer:", "response": " For a first-order reaction, the half-life is t1/2 = ln 2 / k\nSolving for k gives k = ln 2 / t1/2\nSubstitute t1/2 = 7.5 min\nk = ln 2 / 7.5 min\nln 2 = 0.693147\nk = 0.693147 / 7.5 min\nk = 0.092420 min^-1\nRound to three significant figures\nk = 0.0924 min⁻¹\n#### 0.0924 min⁻¹", "source": "tp_science_calc", "tid": "d1238d7f6e", "level": "general"}
|
| 127 |
+
{"prompt": "Question: A first-order model is used for reduction of a disulfide bond. Under specific enzymatic conditions, the half-life of the disulfide bond reduction is 2.0 minutes. What is the rate constant k in min⁻¹ to three significant figures?\nAnswer:", "response": " For a first-order reaction, the half-life is t1/2 = ln 2 / k\nSolving for k gives k = ln 2 / t1/2\nSubstitute t1/2 = 2.0 min\nk = ln 2 / 2.0 min\nln 2 = 0.693147\nk = 0.693147 / 2.0 min\nk = 0.346574 min^-1\nRound to three significant figures\nk = 0.347 min⁻¹\n#### 0.347 min⁻¹", "source": "tp_science_calc", "tid": "d1238d7f6e", "level": "general"}
|
| 128 |
+
{"prompt": "Question: The ester bond cleavage follows first-order kinetics. If the half-life under mild catalytic conditions is 2.5 minutes, calculate the rate constant k in min⁻¹ to three significant figures.\nAnswer:", "response": " For a first-order reaction, the half-life is t1/2 = ln 2 / k\nSolving for k gives k = ln 2 / t1/2\nSubstitute t1/2 = 2.5 min\nk = ln 2 / 2.5 min\nln 2 = 0.693147\nk = 0.693147 / 2.5 min\nk = 0.277259 min^-1\nRound to three significant figures\nk = 0.277 min⁻¹\n#### 0.277 min⁻¹", "source": "tp_science_calc", "tid": "d1238d7f6e", "level": "general"}
|
| 129 |
+
{"prompt": "Question: Consider a reaction involving cleavage of a phosphoester bond, which can be approximated by a first-order kinetics model. If the half-life of the phosphoester bond cleavage under standard enzymatic conditions is 3.0 minutes, calculate the rate constant k in min⁻¹ to three significant figures.\nAnswer:", "response": " For a first-order reaction, the half-life is t1/2 = ln 2 / k\nSolving for k gives k = ln 2 / t1/2\nSubstitute t1/2 = 3.0 min\nk = ln 2 / 3.0 min\nln 2 = 0.693147\nk = 0.693147 / 3.0 min\nk = 0.231049 min^-1\nRound to three significant figures\nk = 0.231 min⁻¹\n#### 0.231 min⁻¹", "source": "tp_science_calc", "tid": "d1238d7f6e", "level": "general"}
|
| 130 |
+
{"prompt": "Question: Consider a reaction involving cleavage of a glycosidic bond, which can be approximated by a first-order kinetics model. If the half-life of the glycosidic bond cleavage under specific enzymatic conditions is 6.0 minutes, calculate the rate constant k in min⁻¹ to three significant figures.\nAnswer:", "response": " For a first-order reaction, the half-life is t1/2 = ln 2 / k\nSolving for k gives k = ln 2 / t1/2\nSubstitute t1/2 = 6.0 min\nk = ln 2 / 6.0 min\nln 2 = 0.693147\nk = 0.693147 / 6.0 min\nk = 0.115525 min^-1\nRound to three significant figures\nk = 0.116 min⁻¹\n#### 0.116 min⁻¹", "source": "tp_science_calc", "tid": "d1238d7f6e", "level": "general"}
|
| 131 |
+
{"prompt": "Question: Consider a reaction involving cleavage of a phosphoester bond, which can be approximated by a first-order kinetics model. If the half-life of the phosphoester bond cleavage under mild catalytic conditions is 7.5 minutes, calculate the rate constant k in min⁻¹ to three significant figures.\nAnswer:", "response": " For a first-order reaction, the half-life is t1/2 = ln 2 / k\nSolving for k gives k = ln 2 / t1/2\nSubstitute t1/2 = 7.5 min\nk = ln 2 / 7.5 min\nln 2 = 0.693147\nk = 0.693147 / 7.5 min\nk = 0.092420 min^-1\nRound to three significant figures\nk = 0.0924 min⁻¹\n#### 0.0924 min⁻¹", "source": "tp_science_calc", "tid": "d1238d7f6e", "level": "general"}
|
| 132 |
+
{"prompt": "Question: A first-order model is used for reduction of a disulfide bond. Under constant temperature and pH, the half-life of the disulfide bond reduction is 0.5 minutes. What is the rate constant k in min⁻¹ to three significant figures?\nAnswer:", "response": " For a first-order reaction, the half-life is t1/2 = ln 2 / k\nSolving for k gives k = ln 2 / t1/2\nSubstitute t1/2 = 0.5 min\nk = ln 2 / 0.5 min\nln 2 = 0.693147\nk = 0.693147 / 0.5 min\nk = 1.386294 min^-1\nRound to three significant figures\nk = 1.39 min⁻¹\n#### 1.39 min⁻¹", "source": "tp_science_calc", "tid": "d1238d7f6e", "level": "general"}
|
| 133 |
+
{"prompt": "Question: A first-order model is used for reduction of a disulfide bond. Under mild catalytic conditions, the half-life of the disulfide bond reduction is 1.5 minutes. What is the rate constant k in min⁻¹ to three significant figures?\nAnswer:", "response": " For a first-order reaction, the half-life is t1/2 = ln 2 / k\nSolving for k gives k = ln 2 / t1/2\nSubstitute t1/2 = 1.5 min\nk = ln 2 / 1.5 min\nln 2 = 0.693147\nk = 0.693147 / 1.5 min\nk = 0.462098 min^-1\nRound to three significant figures\nk = 0.462 min⁻¹\n#### 0.462 min⁻¹", "source": "tp_science_calc", "tid": "d1238d7f6e", "level": "general"}
|
| 134 |
+
{"prompt": "Question: The amide bond hydrolysis follows first-order kinetics. If the half-life under constant temperature and pH is 12.5 minutes, calculate the rate constant k in min⁻¹ to three significant figures.\nAnswer:", "response": " For a first-order reaction, the half-life is t1/2 = ln 2 / k\nSolving for k gives k = ln 2 / t1/2\nSubstitute t1/2 = 12.5 min\nk = ln 2 / 12.5 min\nln 2 = 0.693147\nk = 0.693147 / 12.5 min\nk = 0.055452 min^-1\nRound to three significant figures\nk = 0.0555 min⁻¹\n#### 0.0555 min⁻¹", "source": "tp_science_calc", "tid": "d1238d7f6e", "level": "general"}
|
| 135 |
+
{"prompt": "Question: A first-order model is used for cleavage of a phosphoester bond. Under specific enzymatic conditions, the half-life of the phosphoester bond cleavage is 2.0 minutes. What is the rate constant k in min⁻¹ to three significant figures?\nAnswer:", "response": " For a first-order reaction, the half-life is t1/2 = ln 2 / k\nSolving for k gives k = ln 2 / t1/2\nSubstitute t1/2 = 2.0 min\nk = ln 2 / 2.0 min\nln 2 = 0.693147\nk = 0.693147 / 2.0 min\nk = 0.346574 min^-1\nRound to three significant figures\nk = 0.347 min⁻¹\n#### 0.347 min⁻¹", "source": "tp_science_calc", "tid": "d1238d7f6e", "level": "general"}
|
| 136 |
+
{"prompt": "Question: The ester bond cleavage follows first-order kinetics. If the half-life under constant temperature and pH is 6.0 minutes, calculate the rate constant k in min⁻¹ to three significant figures.\nAnswer:", "response": " For a first-order reaction, the half-life is t1/2 = ln 2 / k\nSolving for k gives k = ln 2 / t1/2\nSubstitute t1/2 = 6.0 min\nk = ln 2 / 6.0 min\nln 2 = 0.693147\nk = 0.693147 / 6.0 min\nk = 0.115525 min^-1\nRound to three significant figures\nk = 0.116 min⁻¹\n#### 0.116 min⁻¹", "source": "tp_science_calc", "tid": "d1238d7f6e", "level": "general"}
|
| 137 |
+
{"prompt": "Question: A first-order model is used for reduction of a disulfide bond. Under standard enzymatic conditions, the half-life of the disulfide bond reduction is 7.5 minutes. What is the rate constant k in min⁻¹ to three significant figures?\nAnswer:", "response": " For a first-order reaction, the half-life is t1/2 = ln 2 / k\nSolving for k gives k = ln 2 / t1/2\nSubstitute t1/2 = 7.5 min\nk = ln 2 / 7.5 min\nln 2 = 0.693147\nk = 0.693147 / 7.5 min\nk = 0.092420 min^-1\nRound to three significant figures\nk = 0.0924 min⁻¹\n#### 0.0924 min⁻¹", "source": "tp_science_calc", "tid": "d1238d7f6e", "level": "general"}
|
| 138 |
+
{"prompt": "Question: Consider a reaction involving hydrolysis of an amide bond, which can be approximated by a first-order kinetics model. If the half-life of the amide bond hydrolysis under standard enzymatic conditions is 2.0 minutes, calculate the rate constant k in min⁻¹ to three significant figures.\nAnswer:", "response": " For a first-order reaction, the half-life is t1/2 = ln 2 / k\nSolving for k gives k = ln 2 / t1/2\nSubstitute t1/2 = 2.0 min\nk = ln 2 / 2.0 min\nln 2 = 0.693147\nk = 0.693147 / 2.0 min\nk = 0.346574 min^-1\nRound to three significant figures\nk = 0.347 min⁻¹\n#### 0.347 min⁻¹", "source": "tp_science_calc", "tid": "d1238d7f6e", "level": "general"}
|
| 139 |
+
{"prompt": "Question: Consider a reaction involving hydrolysis of an amide bond, which can be approximated by a first-order kinetics model. If the half-life of the amide bond hydrolysis under standard enzymatic conditions is 12.5 minutes, calculate the rate constant k in min⁻¹ to three significant figures.\nAnswer:", "response": " For a first-order reaction, the half-life is t1/2 = ln 2 / k\nSolving for k gives k = ln 2 / t1/2\nSubstitute t1/2 = 12.5 min\nk = ln 2 / 12.5 min\nln 2 = 0.693147\nk = 0.693147 / 12.5 min\nk = 0.055452 min^-1\nRound to three significant figures\nk = 0.0555 min⁻¹\n#### 0.0555 min⁻¹", "source": "tp_science_calc", "tid": "d1238d7f6e", "level": "general"}
|
| 140 |
+
{"prompt": "Question: Consider a reaction involving hydrolysis of an ester bond, which can be approximated by a first-order kinetics model. If the half-life of the ester bond cleavage under constant temperature and pH is 2.0 minutes, calculate the rate constant k in min⁻¹ to three significant figures.\nAnswer:", "response": " For a first-order reaction, the half-life is t1/2 = ln 2 / k\nSolving for k gives k = ln 2 / t1/2\nSubstitute t1/2 = 2.0 min\nk = ln 2 / 2.0 min\nln 2 = 0.693147\nk = 0.693147 / 2.0 min\nk = 0.346574 min^-1\nRound to three significant figures\nk = 0.347 min⁻¹\n#### 0.347 min⁻¹", "source": "tp_science_calc", "tid": "d1238d7f6e", "level": "general"}
|
| 141 |
+
{"prompt": "Question: A first-order model is used for hydrolysis of an ester bond. Under specific enzymatic conditions, the half-life of the ester bond cleavage is 6.0 minutes. What is the rate constant k in min⁻¹ to three significant figures?\nAnswer:", "response": " For a first-order reaction, the half-life is t1/2 = ln 2 / k\nSolving for k gives k = ln 2 / t1/2\nSubstitute t1/2 = 6.0 min\nk = ln 2 / 6.0 min\nln 2 = 0.693147\nk = 0.693147 / 6.0 min\nk = 0.115525 min^-1\nRound to three significant figures\nk = 0.116 min⁻¹\n#### 0.116 min⁻¹", "source": "tp_science_calc", "tid": "d1238d7f6e", "level": "general"}
|
| 142 |
+
{"prompt": "Question: Consider a reaction involving cleavage of a phosphoester bond, which can be approximated by a first-order kinetics model. If the half-life of the phosphoester bond cleavage under mild catalytic conditions is 8.0 minutes, calculate the rate constant k in min⁻¹ to three significant figures.\nAnswer:", "response": " For a first-order reaction, the half-life is t1/2 = ln 2 / k\nSolving for k gives k = ln 2 / t1/2\nSubstitute t1/2 = 8.0 min\nk = ln 2 / 8.0 min\nln 2 = 0.693147\nk = 0.693147 / 8.0 min\nk = 0.086643 min^-1\nRound to three significant figures\nk = 0.0866 min⁻¹\n#### 0.0866 min⁻¹", "source": "tp_science_calc", "tid": "d1238d7f6e", "level": "general"}
|
| 143 |
+
{"prompt": "Question: A first-order model is used for cleavage of a glycosidic bond. Under standard enzymatic conditions, the half-life of the glycosidic bond cleavage is 8.0 minutes. What is the rate constant k in min⁻¹ to three significant figures?\nAnswer:", "response": " For a first-order reaction, the half-life is t1/2 = ln 2 / k\nSolving for k gives k = ln 2 / t1/2\nSubstitute t1/2 = 8.0 min\nk = ln 2 / 8.0 min\nln 2 = 0.693147\nk = 0.693147 / 8.0 min\nk = 0.086643 min^-1\nRound to three significant figures\nk = 0.0866 min⁻¹\n#### 0.0866 min⁻¹", "source": "tp_science_calc", "tid": "d1238d7f6e", "level": "general"}
|
| 144 |
+
{"prompt": "Question: Consider a reaction involving hydrolysis of an amide bond, which can be approximated by a first-order kinetics model. If the half-life of the amide bond hydrolysis under standard enzymatic conditions is 6.0 minutes, calculate the rate constant k in min⁻¹ to three significant figures.\nAnswer:", "response": " For a first-order reaction, the half-life is t1/2 = ln 2 / k\nSolving for k gives k = ln 2 / t1/2\nSubstitute t1/2 = 6.0 min\nk = ln 2 / 6.0 min\nln 2 = 0.693147\nk = 0.693147 / 6.0 min\nk = 0.115525 min^-1\nRound to three significant figures\nk = 0.116 min⁻¹\n#### 0.116 min⁻¹", "source": "tp_science_calc", "tid": "d1238d7f6e", "level": "general"}
|
| 145 |
+
{"prompt": "Question: A first-order model is used for hydrolysis of an ester bond. Under standard enzymatic conditions, the half-life of the ester bond cleavage is 20.0 minutes. What is the rate constant k in min⁻¹ to three significant figures?\nAnswer:", "response": " For a first-order reaction, the half-life is t1/2 = ln 2 / k\nSolving for k gives k = ln 2 / t1/2\nSubstitute t1/2 = 20.0 min\nk = ln 2 / 20.0 min\nln 2 = 0.693147\nk = 0.693147 / 20.0 min\nk = 0.034657 min^-1\nRound to three significant figures\nk = 0.0347 min⁻¹\n#### 0.0347 min⁻¹", "source": "tp_science_calc", "tid": "d1238d7f6e", "level": "general"}
|
| 146 |
+
{"prompt": "Question: Consider a reaction involving cleavage of a glycosidic bond, which can be approximated by a first-order kinetics model. If the half-life of the glycosidic bond cleavage under specific enzymatic conditions is 0.5 minutes, calculate the rate constant k in min⁻¹ to three significant figures.\nAnswer:", "response": " For a first-order reaction, the half-life is t1/2 = ln 2 / k\nSolving for k gives k = ln 2 / t1/2\nSubstitute t1/2 = 0.5 min\nk = ln 2 / 0.5 min\nln 2 = 0.693147\nk = 0.693147 / 0.5 min\nk = 1.386294 min^-1\nRound to three significant figures\nk = 1.39 min⁻¹\n#### 1.39 min⁻¹", "source": "tp_science_calc", "tid": "d1238d7f6e", "level": "general"}
|
| 147 |
+
{"prompt": "Question: A first-order model is used for hydrolysis of an ester bond. Under standard enzymatic conditions, the half-life of the ester bond cleavage is 2.5 minutes. What is the rate constant k in min⁻¹ to three significant figures?\nAnswer:", "response": " For a first-order reaction, the half-life is t1/2 = ln 2 / k\nSolving for k gives k = ln 2 / t1/2\nSubstitute t1/2 = 2.5 min\nk = ln 2 / 2.5 min\nln 2 = 0.693147\nk = 0.693147 / 2.5 min\nk = 0.277259 min^-1\nRound to three significant figures\nk = 0.277 min⁻¹\n#### 0.277 min⁻¹", "source": "tp_science_calc", "tid": "d1238d7f6e", "level": "general"}
|
| 148 |
+
{"prompt": "Question: The ester bond cleavage follows first-order kinetics. If the half-life under specific enzymatic conditions is 1.0 minutes, calculate the rate constant k in min⁻¹ to three significant figures.\nAnswer:", "response": " For a first-order reaction, the half-life is t1/2 = ln 2 / k\nSolving for k gives k = ln 2 / t1/2\nSubstitute t1/2 = 1.0 min\nk = ln 2 / 1.0 min\nln 2 = 0.693147\nk = 0.693147 / 1.0 min\nk = 0.693147 min^-1\nRound to three significant figures\nk = 0.693 min⁻¹\n#### 0.693 min⁻¹", "source": "tp_science_calc", "tid": "d1238d7f6e", "level": "general"}
|
| 149 |
+
{"prompt": "Question: The amide bond hydrolysis follows first-order kinetics. If the half-life under standard enzymatic conditions is 20.0 minutes, calculate the rate constant k in min⁻¹ to three significant figures.\nAnswer:", "response": " For a first-order reaction, the half-life is t1/2 = ln 2 / k\nSolving for k gives k = ln 2 / t1/2\nSubstitute t1/2 = 20.0 min\nk = ln 2 / 20.0 min\nln 2 = 0.693147\nk = 0.693147 / 20.0 min\nk = 0.034657 min^-1\nRound to three significant figures\nk = 0.0347 min⁻¹\n#### 0.0347 min⁻¹", "source": "tp_science_calc", "tid": "d1238d7f6e", "level": "general"}
|
| 150 |
+
{"prompt": "Question: The phosphoester bond cleavage follows first-order kinetics. If the half-life under constant temperature and pH is 12.5 minutes, calculate the rate constant k in min⁻¹ to three significant figures.\nAnswer:", "response": " For a first-order reaction, the half-life is t1/2 = ln 2 / k\nSolving for k gives k = ln 2 / t1/2\nSubstitute t1/2 = 12.5 min\nk = ln 2 / 12.5 min\nln 2 = 0.693147\nk = 0.693147 / 12.5 min\nk = 0.055452 min^-1\nRound to three significant figures\nk = 0.0555 min⁻¹\n#### 0.0555 min⁻¹", "source": "tp_science_calc", "tid": "d1238d7f6e", "level": "general"}
|
| 151 |
+
{"prompt": "Question: The ester bond cleavage follows first-order kinetics. If the half-life under standard enzymatic conditions is 15.0 minutes, calculate the rate constant k in min⁻¹ to three significant figures.\nAnswer:", "response": " For a first-order reaction, the half-life is t1/2 = ln 2 / k\nSolving for k gives k = ln 2 / t1/2\nSubstitute t1/2 = 15.0 min\nk = ln 2 / 15.0 min\nln 2 = 0.693147\nk = 0.693147 / 15.0 min\nk = 0.046210 min^-1\nRound to three significant figures\nk = 0.0462 min⁻¹\n#### 0.0462 min⁻¹", "source": "tp_science_calc", "tid": "d1238d7f6e", "level": "general"}
|
| 152 |
+
{"prompt": "Question: A first-order model is used for cleavage of a phosphoester bond. Under specific enzymatic conditions, the half-life of the phosphoester bond cleavage is 0.5 minutes. What is the rate constant k in min⁻¹ to three significant figures?\nAnswer:", "response": " For a first-order reaction, the half-life is t1/2 = ln 2 / k\nSolving for k gives k = ln 2 / t1/2\nSubstitute t1/2 = 0.5 min\nk = ln 2 / 0.5 min\nln 2 = 0.693147\nk = 0.693147 / 0.5 min\nk = 1.386294 min^-1\nRound to three significant figures\nk = 1.39 min⁻¹\n#### 1.39 min⁻¹", "source": "tp_science_calc", "tid": "d1238d7f6e", "level": "general"}
|
| 153 |
+
{"prompt": "Question: Consider a reaction involving hydrolysis of an amide bond, which can be approximated by a first-order kinetics model. If the half-life of the amide bond hydrolysis under standard enzymatic conditions is 15.0 minutes, calculate the rate constant k in min⁻¹ to three significant figures.\nAnswer:", "response": " For a first-order reaction, the half-life is t1/2 = ln 2 / k\nSolving for k gives k = ln 2 / t1/2\nSubstitute t1/2 = 15.0 min\nk = ln 2 / 15.0 min\nln 2 = 0.693147\nk = 0.693147 / 15.0 min\nk = 0.046210 min^-1\nRound to three significant figures\nk = 0.0462 min⁻¹\n#### 0.0462 min⁻¹", "source": "tp_science_calc", "tid": "d1238d7f6e", "level": "general"}
|
| 154 |
+
{"prompt": "Question: Consider a reaction involving cleavage of a glycosidic bond, which can be approximated by a first-order kinetics model. If the half-life of the glycosidic bond cleavage under constant temperature and pH is 6.0 minutes, calculate the rate constant k in min⁻¹ to three significant figures.\nAnswer:", "response": " For a first-order reaction, the half-life is t1/2 = ln 2 / k\nSolving for k gives k = ln 2 / t1/2\nSubstitute t1/2 = 6.0 min\nk = ln 2 / 6.0 min\nln 2 = 0.693147\nk = 0.693147 / 6.0 min\nk = 0.115525 min^-1\nRound to three significant figures\nk = 0.116 min⁻¹\n#### 0.116 min⁻¹", "source": "tp_science_calc", "tid": "d1238d7f6e", "level": "general"}
|
| 155 |
+
{"prompt": "Question: Consider a reaction involving hydrolysis of an ester bond, which can be approximated by a first-order kinetics model. If the half-life of the ester bond cleavage under specific enzymatic conditions is 1.0 minutes, calculate the rate constant k in min⁻¹ to three significant figures.\nAnswer:", "response": " For a first-order reaction, the half-life is t1/2 = ln 2 / k\nSolving for k gives k = ln 2 / t1/2\nSubstitute t1/2 = 1.0 min\nk = ln 2 / 1.0 min\nln 2 = 0.693147\nk = 0.693147 / 1.0 min\nk = 0.693147 min^-1\nRound to three significant figures\nk = 0.693 min⁻¹\n#### 0.693 min⁻¹", "source": "tp_science_calc", "tid": "d1238d7f6e", "level": "general"}
|
| 156 |
+
{"prompt": "Question: Consider a reaction involving hydrolysis of an amide bond, which can be approximated by a first-order kinetics model. If the half-life of the amide bond hydrolysis under mild catalytic conditions is 2.5 minutes, calculate the rate constant k in min⁻¹ to three significant figures.\nAnswer:", "response": " For a first-order reaction, the half-life is t1/2 = ln 2 / k\nSolving for k gives k = ln 2 / t1/2\nSubstitute t1/2 = 2.5 min\nk = ln 2 / 2.5 min\nln 2 = 0.693147\nk = 0.693147 / 2.5 min\nk = 0.277259 min^-1\nRound to three significant figures\nk = 0.277 min⁻¹\n#### 0.277 min⁻¹", "source": "tp_science_calc", "tid": "d1238d7f6e", "level": "general"}
|
| 157 |
+
{"prompt": "Question: Consider a reaction involving hydrolysis of an amide bond, which can be approximated by a first-order kinetics model. If the half-life of the amide bond hydrolysis under specific enzymatic conditions is 12.5 minutes, calculate the rate constant k in min⁻¹ to three significant figures.\nAnswer:", "response": " For a first-order reaction, the half-life is t1/2 = ln 2 / k\nSolving for k gives k = ln 2 / t1/2\nSubstitute t1/2 = 12.5 min\nk = ln 2 / 12.5 min\nln 2 = 0.693147\nk = 0.693147 / 12.5 min\nk = 0.055452 min^-1\nRound to three significant figures\nk = 0.0555 min⁻¹\n#### 0.0555 min⁻¹", "source": "tp_science_calc", "tid": "d1238d7f6e", "level": "general"}
|
| 158 |
+
{"prompt": "Question: A first-order model is used for hydrolysis of an ester bond. Under standard enzymatic conditions, the half-life of the ester bond cleavage is 10.0 minutes. What is the rate constant k in min⁻¹ to three significant figures?\nAnswer:", "response": " For a first-order reaction, the half-life is t1/2 = ln 2 / k\nSolving for k gives k = ln 2 / t1/2\nSubstitute t1/2 = 10.0 min\nk = ln 2 / 10.0 min\nln 2 = 0.693147\nk = 0.693147 / 10.0 min\nk = 0.069315 min^-1\nRound to three significant figures\nk = 0.0693 min⁻¹\n#### 0.0693 min⁻¹", "source": "tp_science_calc", "tid": "d1238d7f6e", "level": "general"}
|
| 159 |
+
{"prompt": "Question: Consider a reaction involving hydrolysis of an ester bond, which can be approximated by a first-order kinetics model. If the half-life of the ester bond cleavage under specific enzymatic conditions is 2.5 minutes, calculate the rate constant k in min⁻¹ to three significant figures.\nAnswer:", "response": " For a first-order reaction, the half-life is t1/2 = ln 2 / k\nSolving for k gives k = ln 2 / t1/2\nSubstitute t1/2 = 2.5 min\nk = ln 2 / 2.5 min\nln 2 = 0.693147\nk = 0.693147 / 2.5 min\nk = 0.277259 min^-1\nRound to three significant figures\nk = 0.277 min⁻¹\n#### 0.277 min⁻¹", "source": "tp_science_calc", "tid": "d1238d7f6e", "level": "general"}
|
| 160 |
+
{"prompt": "Question: Consider a reaction involving cleavage of a glycosidic bond, which can be approximated by a first-order kinetics model. If the half-life of the glycosidic bond cleavage under mild catalytic conditions is 10.0 minutes, calculate the rate constant k in min⁻¹ to three significant figures.\nAnswer:", "response": " For a first-order reaction, the half-life is t1/2 = ln 2 / k\nSolving for k gives k = ln 2 / t1/2\nSubstitute t1/2 = 10.0 min\nk = ln 2 / 10.0 min\nln 2 = 0.693147\nk = 0.693147 / 10.0 min\nk = 0.069315 min^-1\nRound to three significant figures\nk = 0.0693 min⁻¹\n#### 0.0693 min⁻¹", "source": "tp_science_calc", "tid": "d1238d7f6e", "level": "general"}
|
raw_tmpl/tp_tp5_1791579750_00004.jsonl
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| 1 |
+
{"prompt": "Question: A partnership between Lena and Cara has an agreement to distribute 80% of the after-tax net income to shareholders as dividends, an annual pre-tax net income of $64,000, and a corporate tax rate of 7%. What total dollar amount of dividends is paid out for the year?\nAnswer:", "response": " Pre-tax net income = $64,000\nCorporate tax = $64,000 × 0.07 = $4,480\nAfter-tax net income = $64,000 − $4,480 = $59,520\nDividend payout ratio = 80%\nDividends paid = $59,520 × 0.80 = $47,616\n#### $47,616", "source": "tp_finance", "tid": "e8f1c0f070", "level": "general"}
|
| 2 |
+
{"prompt": "Question: A partnership between Sara and Mona has an agreement to distribute 20% of the after-tax net income to shareholders as dividends, a corporate tax rate of 13%, and an annual pre-tax net income of $17,000. What total dollar amount of dividends is paid out for the year?\nAnswer:", "response": " Pre-tax net income = $17,000\nCorporate tax = $17,000 × 0.13 = $2,210\nAfter-tax net income = $17,000 − $2,210 = $14,790\nDividend payout ratio = 20%\nDividends paid = $14,790 × 0.20 = $2,958\n#### $2,958", "source": "tp_finance", "tid": "e8f1c0f070", "level": "general"}
|
| 3 |
+
{"prompt": "Question: A partnership between Hana and Eli reports an agreement to distribute 80% of the after-tax net income to shareholders as dividends, a corporate tax rate of 40%, and an annual pre-tax net income of $76,000. What is the total dollar amount of dividends paid out for the year?\nAnswer:", "response": " Pre-tax net income = $76,000\nCorporate tax = $76,000 × 0.40 = $30,400\nAfter-tax net income = $76,000 − $30,400 = $45,600\nDividend payout ratio = 80%\nDividends paid = $45,600 × 0.80 = $36,480\n#### $36,480", "source": "tp_finance", "tid": "e8f1c0f070", "level": "general"}
|
| 4 |
+
{"prompt": "Question: A partnership between Hana and Omar reports an annual pre-tax net income of $73,000, an agreement to distribute 70% of the after-tax net income to shareholders as dividends, and a corporate tax rate of 37%. What is the total dollar amount of dividends paid out for the year?\nAnswer:", "response": " Pre-tax net income = $73,000\nCorporate tax = $73,000 × 0.37 = $27,010\nAfter-tax net income = $73,000 − $27,010 = $45,990\nDividend payout ratio = 70%\nDividends paid = $45,990 × 0.70 = $32,193\n#### $32,193", "source": "tp_finance", "tid": "e8f1c0f070", "level": "general"}
|
| 5 |
+
{"prompt": "Question: A partnership between Gus and Kai has a corporate tax rate of 7%, an annual pre-tax net income of $63,000, and an agreement to distribute 40% of the after-tax net income to shareholders as dividends. What total dollar amount of dividends is paid out for the year?\nAnswer:", "response": " Pre-tax net income = $63,000\nCorporate tax = $63,000 × 0.07 = $4,410\nAfter-tax net income = $63,000 − $4,410 = $58,590\nDividend payout ratio = 40%\nDividends paid = $58,590 × 0.40 = $23,436\n#### $23,436", "source": "tp_finance", "tid": "e8f1c0f070", "level": "general"}
|
| 6 |
+
{"prompt": "Question: A partnership between Tara and Jade reports an agreement to distribute 80% of the after-tax net income to shareholders as dividends, an annual pre-tax net income of $71,000, and a corporate tax rate of 27%. What is the total dollar amount of dividends paid out for the year?\nAnswer:", "response": " Pre-tax net income = $71,000\nCorporate tax = $71,000 × 0.27 = $19,170\nAfter-tax net income = $71,000 − $19,170 = $51,830\nDividend payout ratio = 80%\nDividends paid = $51,830 × 0.80 = $41,464\n#### $41,464", "source": "tp_finance", "tid": "e8f1c0f070", "level": "general"}
|
| 7 |
+
{"prompt": "Question: A partnership between Omar and Ava has an agreement to distribute 40% of the after-tax net income to shareholders as dividends, a corporate tax rate of 4%, and an annual pre-tax net income of $54,000. What total dollar amount of dividends is paid out for the year?\nAnswer:", "response": " Pre-tax net income = $54,000\nCorporate tax = $54,000 × 0.04 = $2,160\nAfter-tax net income = $54,000 − $2,160 = $51,840\nDividend payout ratio = 40%\nDividends paid = $51,840 × 0.40 = $20,736\n#### $20,736", "source": "tp_finance", "tid": "e8f1c0f070", "level": "general"}
|
| 8 |
+
{"prompt": "Question: A partnership between Jade and Fay has a corporate tax rate of 40%, an agreement to distribute 30% of the after-tax net income to shareholders as dividends, and an annual pre-tax net income of $14,000. What total dollar amount of dividends is paid out for the year?\nAnswer:", "response": " Pre-tax net income = $14,000\nCorporate tax = $14,000 × 0.40 = $5,600\nAfter-tax net income = $14,000 − $5,600 = $8,400\nDividend payout ratio = 30%\nDividends paid = $8,400 × 0.30 = $2,520\n#### $2,520", "source": "tp_finance", "tid": "e8f1c0f070", "level": "general"}
|
| 9 |
+
{"prompt": "Question: A partnership between Cara and Dana has a corporate tax rate of 30%, an agreement to distribute 70% of the after-tax net income to shareholders as dividends, and an annual pre-tax net income of $76,000. What total dollar amount of dividends is paid out for the year?\nAnswer:", "response": " Pre-tax net income = $76,000\nCorporate tax = $76,000 × 0.30 = $22,800\nAfter-tax net income = $76,000 − $22,800 = $53,200\nDividend payout ratio = 70%\nDividends paid = $53,200 × 0.70 = $37,240\n#### $37,240", "source": "tp_finance", "tid": "e8f1c0f070", "level": "general"}
|
| 10 |
+
{"prompt": "Question: A partnership between Cara and Rex has an agreement to distribute 90% of the after-tax net income to shareholders as dividends, an annual pre-tax net income of $33,000, and a corporate tax rate of 1%. What total dollar amount of dividends is paid out for the year?\nAnswer:", "response": " Pre-tax net income = $33,000\nCorporate tax = $33,000 × 0.01 = $330\nAfter-tax net income = $33,000 − $330 = $32,670\nDividend payout ratio = 90%\nDividends paid = $32,670 × 0.90 = $29,403\n#### $29,403", "source": "tp_finance", "tid": "e8f1c0f070", "level": "general"}
|
| 11 |
+
{"prompt": "Question: A partnership between Sara and Cara reports an annual pre-tax net income of $95,000, an agreement to distribute 40% of the after-tax net income to shareholders as dividends, and a corporate tax rate of 40%. What is the total dollar amount of dividends paid out for the year?\nAnswer:", "response": " Pre-tax net income = $95,000\nCorporate tax = $95,000 × 0.40 = $38,000\nAfter-tax net income = $95,000 − $38,000 = $57,000\nDividend payout ratio = 40%\nDividends paid = $57,000 × 0.40 = $22,800\n#### $22,800", "source": "tp_finance", "tid": "e8f1c0f070", "level": "general"}
|
| 12 |
+
{"prompt": "Question: A partnership between Nico and Fay reports an annual pre-tax net income of $56,000, a corporate tax rate of 17%, and an agreement to distribute 10% of the after-tax net income to shareholders as dividends. What is the total dollar amount of dividends paid out for the year?\nAnswer:", "response": " Pre-tax net income = $56,000\nCorporate tax = $56,000 × 0.17 = $9,520\nAfter-tax net income = $56,000 − $9,520 = $46,480\nDividend payout ratio = 10%\nDividends paid = $46,480 × 0.10 = $4,648\n#### $4,648", "source": "tp_finance", "tid": "e8f1c0f070", "level": "general"}
|
| 13 |
+
{"prompt": "Question: A partnership between Mona and Gus reports a corporate tax rate of 11%, an annual pre-tax net income of $53,000, and an agreement to distribute 30% of the after-tax net income to shareholders as dividends. What is the total dollar amount of dividends paid out for the year?\nAnswer:", "response": " Pre-tax net income = $53,000\nCorporate tax = $53,000 × 0.11 = $5,830\nAfter-tax net income = $53,000 − $5,830 = $47,170\nDividend payout ratio = 30%\nDividends paid = $47,170 × 0.30 = $14,151\n#### $14,151", "source": "tp_finance", "tid": "e8f1c0f070", "level": "general"}
|
| 14 |
+
{"prompt": "Question: A partnership between Tara and Uli operates with an agreement to distribute 30% of the after-tax net income to shareholders as dividends, a corporate tax rate of 17%, and an annual pre-tax net income of $72,000. What is the total dollar amount of dividends paid out for the year?\nAnswer:", "response": " Pre-tax net income = $72,000\nCorporate tax = $72,000 × 0.17 = $12,240\nAfter-tax net income = $72,000 − $12,240 = $59,760\nDividend payout ratio = 30%\nDividends paid = $59,760 × 0.30 = $17,928\n#### $17,928", "source": "tp_finance", "tid": "e8f1c0f070", "level": "general"}
|
| 15 |
+
{"prompt": "Question: A partnership between Ivan and Ben has an annual pre-tax net income of $75,000, an agreement to distribute 40% of the after-tax net income to shareholders as dividends, and a corporate tax rate of 1%. What total dollar amount of dividends is paid out for the year?\nAnswer:", "response": " Pre-tax net income = $75,000\nCorporate tax = $75,000 × 0.01 = $750\nAfter-tax net income = $75,000 − $750 = $74,250\nDividend payout ratio = 40%\nDividends paid = $74,250 × 0.40 = $29,700\n#### $29,700", "source": "tp_finance", "tid": "e8f1c0f070", "level": "general"}
|
| 16 |
+
{"prompt": "Question: A partnership between Rex and Mona has an annual pre-tax net income of $23,000, an agreement to distribute 90% of the after-tax net income to shareholders as dividends, and a corporate tax rate of 20%. What total dollar amount of dividends is paid out for the year?\nAnswer:", "response": " Pre-tax net income = $23,000\nCorporate tax = $23,000 × 0.20 = $4,600\nAfter-tax net income = $23,000 − $4,600 = $18,400\nDividend payout ratio = 90%\nDividends paid = $18,400 × 0.90 = $16,560\n#### $16,560", "source": "tp_finance", "tid": "e8f1c0f070", "level": "general"}
|
| 17 |
+
{"prompt": "Question: A partnership between Sara and Fay reports a corporate tax rate of 26%, an annual pre-tax net income of $56,000, and an agreement to distribute 70% of the after-tax net income to shareholders as dividends. What is the total dollar amount of dividends paid out for the year?\nAnswer:", "response": " Pre-tax net income = $56,000\nCorporate tax = $56,000 × 0.26 = $14,560\nAfter-tax net income = $56,000 − $14,560 = $41,440\nDividend payout ratio = 70%\nDividends paid = $41,440 × 0.70 = $29,008\n#### $29,008", "source": "tp_finance", "tid": "e8f1c0f070", "level": "general"}
|
| 18 |
+
{"prompt": "Question: A partnership between Dana and Lena reports an agreement to distribute 40% of the after-tax net income to shareholders as dividends, an annual pre-tax net income of $71,000, and a corporate tax rate of 29%. What is the total dollar amount of dividends paid out for the year?\nAnswer:", "response": " Pre-tax net income = $71,000\nCorporate tax = $71,000 × 0.29 = $20,590\nAfter-tax net income = $71,000 − $20,590 = $50,410\nDividend payout ratio = 40%\nDividends paid = $50,410 × 0.40 = $20,164\n#### $20,164", "source": "tp_finance", "tid": "e8f1c0f070", "level": "general"}
|
| 19 |
+
{"prompt": "Question: A partnership between Hana and Tara has an agreement to distribute 20% of the after-tax net income to shareholders as dividends, an annual pre-tax net income of $60,000, and a corporate tax rate of 27%. What total dollar amount of dividends is paid out for the year?\nAnswer:", "response": " Pre-tax net income = $60,000\nCorporate tax = $60,000 × 0.27 = $16,200\nAfter-tax net income = $60,000 − $16,200 = $43,800\nDividend payout ratio = 20%\nDividends paid = $43,800 × 0.20 = $8,760\n#### $8,760", "source": "tp_finance", "tid": "e8f1c0f070", "level": "general"}
|
| 20 |
+
{"prompt": "Question: A partnership between Dana and Hana reports an agreement to distribute 40% of the after-tax net income to shareholders as dividends, an annual pre-tax net income of $14,000, and a corporate tax rate of 22%. What is the total dollar amount of dividends paid out for the year?\nAnswer:", "response": " Pre-tax net income = $14,000\nCorporate tax = $14,000 × 0.22 = $3,080\nAfter-tax net income = $14,000 − $3,080 = $10,920\nDividend payout ratio = 40%\nDividends paid = $10,920 × 0.40 = $4,368\n#### $4,368", "source": "tp_finance", "tid": "e8f1c0f070", "level": "general"}
|
| 21 |
+
{"prompt": "Question: A partnership between Mona and Tara operates with an agreement to distribute 90% of the after-tax net income to shareholders as dividends, a corporate tax rate of 2%, and an annual pre-tax net income of $24,000. What is the total dollar amount of dividends paid out for the year?\nAnswer:", "response": " Pre-tax net income = $24,000\nCorporate tax = $24,000 × 0.02 = $480\nAfter-tax net income = $24,000 − $480 = $23,520\nDividend payout ratio = 90%\nDividends paid = $23,520 × 0.90 = $21,168\n#### $21,168", "source": "tp_finance", "tid": "e8f1c0f070", "level": "general"}
|
| 22 |
+
{"prompt": "Question: A partnership between Tara and Hana has an annual pre-tax net income of $77,000, an agreement to distribute 30% of the after-tax net income to shareholders as dividends, and a corporate tax rate of 34%. What total dollar amount of dividends is paid out for the year?\nAnswer:", "response": " Pre-tax net income = $77,000\nCorporate tax = $77,000 × 0.34 = $26,180\nAfter-tax net income = $77,000 − $26,180 = $50,820\nDividend payout ratio = 30%\nDividends paid = $50,820 × 0.30 = $15,246\n#### $15,246", "source": "tp_finance", "tid": "e8f1c0f070", "level": "general"}
|
| 23 |
+
{"prompt": "Question: A partnership between Cara and Mona has a corporate tax rate of 28%, an annual pre-tax net income of $26,000, and an agreement to distribute 70% of the after-tax net income to shareholders as dividends. What total dollar amount of dividends is paid out for the year?\nAnswer:", "response": " Pre-tax net income = $26,000\nCorporate tax = $26,000 × 0.28 = $7,280\nAfter-tax net income = $26,000 − $7,280 = $18,720\nDividend payout ratio = 70%\nDividends paid = $18,720 × 0.70 = $13,104\n#### $13,104", "source": "tp_finance", "tid": "e8f1c0f070", "level": "general"}
|
| 24 |
+
{"prompt": "Question: A partnership between Eli and Nico has an agreement to distribute 90% of the after-tax net income to shareholders as dividends, an annual pre-tax net income of $72,000, and a corporate tax rate of 30%. What total dollar amount of dividends is paid out for the year?\nAnswer:", "response": " Pre-tax net income = $72,000\nCorporate tax = $72,000 × 0.30 = $21,600\nAfter-tax net income = $72,000 − $21,600 = $50,400\nDividend payout ratio = 90%\nDividends paid = $50,400 × 0.90 = $45,360\n#### $45,360", "source": "tp_finance", "tid": "e8f1c0f070", "level": "general"}
|
| 25 |
+
{"prompt": "Question: A partnership between Kai and Rex has an agreement to distribute 80% of the after-tax net income to shareholders as dividends, a corporate tax rate of 32%, and an annual pre-tax net income of $12,000. What total dollar amount of dividends is paid out for the year?\nAnswer:", "response": " Pre-tax net income = $12,000\nCorporate tax = $12,000 × 0.32 = $3,840\nAfter-tax net income = $12,000 − $3,840 = $8,160\nDividend payout ratio = 80%\nDividends paid = $8,160 × 0.80 = $6,528\n#### $6,528", "source": "tp_finance", "tid": "e8f1c0f070", "level": "general"}
|
| 26 |
+
{"prompt": "Question: A partnership between Gus and Lena reports a corporate tax rate of 4%, an agreement to distribute 10% of the after-tax net income to shareholders as dividends, and an annual pre-tax net income of $36,000. What is the total dollar amount of dividends paid out for the year?\nAnswer:", "response": " Pre-tax net income = $36,000\nCorporate tax = $36,000 × 0.04 = $1,440\nAfter-tax net income = $36,000 − $1,440 = $34,560\nDividend payout ratio = 10%\nDividends paid = $34,560 × 0.10 = $3,456\n#### $3,456", "source": "tp_finance", "tid": "e8f1c0f070", "level": "general"}
|
| 27 |
+
{"prompt": "Question: A partnership between Mona and Ivan reports an agreement to distribute 50% of the after-tax net income to shareholders as dividends, a corporate tax rate of 32%, and an annual pre-tax net income of $13,000. What is the total dollar amount of dividends paid out for the year?\nAnswer:", "response": " Pre-tax net income = $13,000\nCorporate tax = $13,000 × 0.32 = $4,160\nAfter-tax net income = $13,000 − $4,160 = $8,840\nDividend payout ratio = 50%\nDividends paid = $8,840 × 0.50 = $4,420\n#### $4,420", "source": "tp_finance", "tid": "e8f1c0f070", "level": "general"}
|
| 28 |
+
{"prompt": "Question: A partnership between Sara and Pia has a corporate tax rate of 8%, an agreement to distribute 20% of the after-tax net income to shareholders as dividends, and an annual pre-tax net income of $12,000. What total dollar amount of dividends is paid out for the year?\nAnswer:", "response": " Pre-tax net income = $12,000\nCorporate tax = $12,000 × 0.08 = $960\nAfter-tax net income = $12,000 − $960 = $11,040\nDividend payout ratio = 20%\nDividends paid = $11,040 × 0.20 = $2,208\n#### $2,208", "source": "tp_finance", "tid": "e8f1c0f070", "level": "general"}
|
| 29 |
+
{"prompt": "Question: A partnership between Ivan and Gus has an annual pre-tax net income of $69,000, an agreement to distribute 80% of the after-tax net income to shareholders as dividends, and a corporate tax rate of 40%. What total dollar amount of dividends is paid out for the year?\nAnswer:", "response": " Pre-tax net income = $69,000\nCorporate tax = $69,000 × 0.40 = $27,600\nAfter-tax net income = $69,000 − $27,600 = $41,400\nDividend payout ratio = 80%\nDividends paid = $41,400 × 0.80 = $33,120\n#### $33,120", "source": "tp_finance", "tid": "e8f1c0f070", "level": "general"}
|
| 30 |
+
{"prompt": "Question: A partnership between Sara and Uli reports an annual pre-tax net income of $87,000, a corporate tax rate of 20%, and an agreement to distribute 30% of the after-tax net income to shareholders as dividends. What is the total dollar amount of dividends paid out for the year?\nAnswer:", "response": " Pre-tax net income = $87,000\nCorporate tax = $87,000 × 0.20 = $17,400\nAfter-tax net income = $87,000 − $17,400 = $69,600\nDividend payout ratio = 30%\nDividends paid = $69,600 × 0.30 = $20,880\n#### $20,880", "source": "tp_finance", "tid": "e8f1c0f070", "level": "general"}
|
| 31 |
+
{"prompt": "Question: A partnership between Gus and Omar operates with an annual pre-tax net income of $17,000, a corporate tax rate of 29%, and an agreement to distribute 30% of the after-tax net income to shareholders as dividends. What is the total dollar amount of dividends paid out for the year?\nAnswer:", "response": " Pre-tax net income = $17,000\nCorporate tax = $17,000 × 0.29 = $4,930\nAfter-tax net income = $17,000 − $4,930 = $12,070\nDividend payout ratio = 30%\nDividends paid = $12,070 × 0.30 = $3,621\n#### $3,621", "source": "tp_finance", "tid": "e8f1c0f070", "level": "general"}
|
| 32 |
+
{"prompt": "Question: A partnership between Ben and Kai reports an agreement to distribute 10% of the after-tax net income to shareholders as dividends, an annual pre-tax net income of $99,000, and a corporate tax rate of 38%. What is the total dollar amount of dividends paid out for the year?\nAnswer:", "response": " Pre-tax net income = $99,000\nCorporate tax = $99,000 × 0.38 = $37,620\nAfter-tax net income = $99,000 − $37,620 = $61,380\nDividend payout ratio = 10%\nDividends paid = $61,380 × 0.10 = $6,138\n#### $6,138", "source": "tp_finance", "tid": "e8f1c0f070", "level": "general"}
|
| 33 |
+
{"prompt": "Question: A partnership between Fay and Kai reports an agreement to distribute 80% of the after-tax net income to shareholders as dividends, a corporate tax rate of 36%, and an annual pre-tax net income of $59,000. What is the total dollar amount of dividends paid out for the year?\nAnswer:", "response": " Pre-tax net income = $59,000\nCorporate tax = $59,000 × 0.36 = $21,240\nAfter-tax net income = $59,000 − $21,240 = $37,760\nDividend payout ratio = 80%\nDividends paid = $37,760 × 0.80 = $30,208\n#### $30,208", "source": "tp_finance", "tid": "e8f1c0f070", "level": "general"}
|
| 34 |
+
{"prompt": "Question: A partnership between Omar and Cara has a corporate tax rate of 14%, an annual pre-tax net income of $92,000, and an agreement to distribute 50% of the after-tax net income to shareholders as dividends. What total dollar amount of dividends is paid out for the year?\nAnswer:", "response": " Pre-tax net income = $92,000\nCorporate tax = $92,000 × 0.14 = $12,880\nAfter-tax net income = $92,000 − $12,880 = $79,120\nDividend payout ratio = 50%\nDividends paid = $79,120 × 0.50 = $39,560\n#### $39,560", "source": "tp_finance", "tid": "e8f1c0f070", "level": "general"}
|
| 35 |
+
{"prompt": "Question: A partnership between Dana and Mona reports a corporate tax rate of 6%, an agreement to distribute 20% of the after-tax net income to shareholders as dividends, and an annual pre-tax net income of $14,000. What is the total dollar amount of dividends paid out for the year?\nAnswer:", "response": " Pre-tax net income = $14,000\nCorporate tax = $14,000 × 0.06 = $840\nAfter-tax net income = $14,000 − $840 = $13,160\nDividend payout ratio = 20%\nDividends paid = $13,160 × 0.20 = $2,632\n#### $2,632", "source": "tp_finance", "tid": "e8f1c0f070", "level": "general"}
|
| 36 |
+
{"prompt": "Question: A partnership between Ivan and Fay reports a corporate tax rate of 30%, an agreement to distribute 30% of the after-tax net income to shareholders as dividends, and an annual pre-tax net income of $93,000. What is the total dollar amount of dividends paid out for the year?\nAnswer:", "response": " Pre-tax net income = $93,000\nCorporate tax = $93,000 × 0.30 = $27,900\nAfter-tax net income = $93,000 − $27,900 = $65,100\nDividend payout ratio = 30%\nDividends paid = $65,100 × 0.30 = $19,530\n#### $19,530", "source": "tp_finance", "tid": "e8f1c0f070", "level": "general"}
|
| 37 |
+
{"prompt": "Question: A partnership between Ben and Cara operates with an annual pre-tax net income of $63,000, an agreement to distribute 20% of the after-tax net income to shareholders as dividends, and a corporate tax rate of 6%. What is the total dollar amount of dividends paid out for the year?\nAnswer:", "response": " Pre-tax net income = $63,000\nCorporate tax = $63,000 × 0.06 = $3,780\nAfter-tax net income = $63,000 − $3,780 = $59,220\nDividend payout ratio = 20%\nDividends paid = $59,220 × 0.20 = $11,844\n#### $11,844", "source": "tp_finance", "tid": "e8f1c0f070", "level": "general"}
|
| 38 |
+
{"prompt": "Question: A partnership between Dana and Ben has an agreement to distribute 90% of the after-tax net income to shareholders as dividends, a corporate tax rate of 30%, and an annual pre-tax net income of $20,000. What total dollar amount of dividends is paid out for the year?\nAnswer:", "response": " Pre-tax net income = $20,000\nCorporate tax = $20,000 × 0.30 = $6,000\nAfter-tax net income = $20,000 − $6,000 = $14,000\nDividend payout ratio = 90%\nDividends paid = $14,000 × 0.90 = $12,600\n#### $12,600", "source": "tp_finance", "tid": "e8f1c0f070", "level": "general"}
|
| 39 |
+
{"prompt": "Question: A partnership between Eli and Dana operates with an annual pre-tax net income of $24,000, an agreement to distribute 50% of the after-tax net income to shareholders as dividends, and a corporate tax rate of 5%. What is the total dollar amount of dividends paid out for the year?\nAnswer:", "response": " Pre-tax net income = $24,000\nCorporate tax = $24,000 × 0.05 = $1,200\nAfter-tax net income = $24,000 − $1,200 = $22,800\nDividend payout ratio = 50%\nDividends paid = $22,800 × 0.50 = $11,400\n#### $11,400", "source": "tp_finance", "tid": "e8f1c0f070", "level": "general"}
|
| 40 |
+
{"prompt": "Question: A partnership between Dana and Ben operates with an agreement to distribute 40% of the after-tax net income to shareholders as dividends, a corporate tax rate of 12%, and an annual pre-tax net income of $96,000. What is the total dollar amount of dividends paid out for the year?\nAnswer:", "response": " Pre-tax net income = $96,000\nCorporate tax = $96,000 × 0.12 = $11,520\nAfter-tax net income = $96,000 − $11,520 = $84,480\nDividend payout ratio = 40%\nDividends paid = $84,480 × 0.40 = $33,792\n#### $33,792", "source": "tp_finance", "tid": "e8f1c0f070", "level": "general"}
|
| 41 |
+
{"prompt": "Question: A debate competition selects a jury of 3 members from a pool of 16 candidates, consisting of 10 women and 6 men. What is the probability that the jury will consist of exactly 2 women and 1 man? Express your answer as a common fraction in simplest form.\nAnswer:", "response": " C(10,2) = 45\nC(6,1) = 6\n45 * 6 = 270\nC(16,3) = 560\n270/560\ngcd(270, 560) = 10\n270/10 = 27\n560/10 = 56\n27/56\n#### \\frac{27}{56}", "source": "tp_probability", "tid": "15e7207ae6", "level": "general"}
|
| 42 |
+
{"prompt": "Question: A science fair board selects a panel of 3 members from a pool of 10 candidates, consisting of 4 women and 6 men. What is the probability that the panel will consist of exactly 2 women and 1 man? Express your answer as a common fraction in simplest form.\nAnswer:", "response": " C(4,2) = 6\nC(6,1) = 6\n6 * 6 = 36\nC(10,3) = 120\n36/120\ngcd(36, 120) = 12\n36/12 = 3\n120/12 = 10\n3/10\n#### \\frac{3}{10}", "source": "tp_probability", "tid": "15e7207ae6", "level": "general"}
|
| 43 |
+
{"prompt": "Question: A science fair board selects a jury of 6 members from a pool of 18 candidates, consisting of 10 women and 8 men. What is the probability that the jury will consist of exactly 2 women and 4 men? Express your answer as a common fraction in simplest form.\nAnswer:", "response": " C(10,2) = 45\nC(8,4) = 70\n45 * 70 = 3150\nC(18,6) = 18564\n3150/18564\ngcd(3150, 18564) = 42\n3150/42 = 75\n18564/42 = 442\n75/442\n#### \\frac{75}{442}", "source": "tp_probability", "tid": "15e7207ae6", "level": "general"}
|
| 44 |
+
{"prompt": "Question: A book club selects a panel of 4 members from a pool of 17 candidates, consisting of 10 women and 7 men. What is the probability that the panel will consist of exactly 3 women and 1 man? Express your answer as a common fraction in simplest form.\nAnswer:", "response": " C(10,3) = 120\nC(7,1) = 7\n120 * 7 = 840\nC(17,4) = 2380\n840/2380\ngcd(840, 2380) = 140\n840/140 = 6\n2380/140 = 17\n6/17\n#### \\frac{6}{17}", "source": "tp_probability", "tid": "15e7207ae6", "level": "general"}
|
| 45 |
+
{"prompt": "Question: A science fair board selects a panel of 7 members from a pool of 16 candidates, consisting of 5 women and 11 men. What is the probability that the panel will consist of exactly 2 women and 5 men? Express your answer as a common fraction in simplest form.\nAnswer:", "response": " C(5,2) = 10\nC(11,5) = 462\n10 * 462 = 4620\nC(16,7) = 11440\n4620/11440\ngcd(4620, 11440) = 220\n4620/220 = 21\n11440/220 = 52\n21/52\n#### \\frac{21}{52}", "source": "tp_probability", "tid": "15e7207ae6", "level": "general"}
|
| 46 |
+
{"prompt": "Question: A conference committee selects a panel of 7 members from a pool of 17 candidates, consisting of 11 women and 6 men. What is the probability that the panel will consist of exactly 5 women and 2 men? Express your answer as a common fraction in simplest form.\nAnswer:", "response": " C(11,5) = 462\nC(6,2) = 15\n462 * 15 = 6930\nC(17,7) = 19448\n6930/19448\ngcd(6930, 19448) = 22\n6930/22 = 315\n19448/22 = 884\n315/884\n#### \\frac{315}{884}", "source": "tp_probability", "tid": "15e7207ae6", "level": "general"}
|
| 47 |
+
{"prompt": "Question: A film festival committee selects a jury of 4 members from a pool of 15 candidates, consisting of 5 women and 10 men. What is the probability that the jury will consist of exactly 2 women and 2 men? Express your answer as a common fraction in simplest form.\nAnswer:", "response": " C(5,2) = 10\nC(10,2) = 45\n10 * 45 = 450\nC(15,4) = 1365\n450/1365\ngcd(450, 1365) = 15\n450/15 = 30\n1365/15 = 91\n30/91\n#### \\frac{30}{91}", "source": "tp_probability", "tid": "15e7207ae6", "level": "general"}
|
| 48 |
+
{"prompt": "Question: A sports league selects a jury of 4 members from a pool of 10 candidates, consisting of 7 women and 3 men. What is the probability that the jury will consist of exactly 3 women and 1 man? Express your answer as a common fraction in simplest form.\nAnswer:", "response": " C(7,3) = 35\nC(3,1) = 3\n35 * 3 = 105\nC(10,4) = 210\n105/210\ngcd(105, 210) = 105\n105/105 = 1\n210/105 = 2\n1/2\n#### \\frac{1}{2}", "source": "tp_probability", "tid": "15e7207ae6", "level": "general"}
|
| 49 |
+
{"prompt": "Question: A sports league selects a jury of 5 members from a pool of 18 candidates, consisting of 9 women and 9 men. What is the probability that the jury will consist of exactly 1 woman and 4 men? Express your answer as a common fraction in simplest form.\nAnswer:", "response": " C(9,1) = 9\nC(9,4) = 126\n9 * 126 = 1134\nC(18,5) = 8568\n1134/8568\ngcd(1134, 8568) = 126\n1134/126 = 9\n8568/126 = 68\n9/68\n#### \\frac{9}{68}", "source": "tp_probability", "tid": "15e7207ae6", "level": "general"}
|
| 50 |
+
{"prompt": "Question: A sports league selects a panel of 6 members from a pool of 12 candidates, consisting of 4 women and 8 men. What is the probability that the panel will consist of exactly 1 woman and 5 men? Express your answer as a common fraction in simplest form.\nAnswer:", "response": " C(4,1) = 4\nC(8,5) = 56\n4 * 56 = 224\nC(12,6) = 924\n224/924\ngcd(224, 924) = 28\n224/28 = 8\n924/28 = 33\n8/33\n#### \\frac{8}{33}", "source": "tp_probability", "tid": "15e7207ae6", "level": "general"}
|
| 51 |
+
{"prompt": "Question: A book club selects a panel of 3 members from a pool of 13 candidates, consisting of 8 women and 5 men. What is the probability that the panel will consist of exactly 2 women and 1 man? Express your answer as a common fraction in simplest form.\nAnswer:", "response": " C(8,2) = 28\nC(5,1) = 5\n28 * 5 = 140\nC(13,3) = 286\n140/286\ngcd(140, 286) = 2\n140/2 = 70\n286/2 = 143\n70/143\n#### \\frac{70}{143}", "source": "tp_probability", "tid": "15e7207ae6", "level": "general"}
|
| 52 |
+
{"prompt": "Question: A science fair board selects a panel of 3 members from a pool of 15 candidates, consisting of 7 women and 8 men. What is the probability that the panel will consist of exactly 2 women and 1 man? Express your answer as a common fraction in simplest form.\nAnswer:", "response": " C(7,2) = 21\nC(8,1) = 8\n21 * 8 = 168\nC(15,3) = 455\n168/455\ngcd(168, 455) = 7\n168/7 = 24\n455/7 = 65\n24/65\n#### \\frac{24}{65}", "source": "tp_probability", "tid": "15e7207ae6", "level": "general"}
|
| 53 |
+
{"prompt": "Question: A science fair board selects a jury of 4 members from a pool of 15 candidates, consisting of 6 women and 9 men. What is the probability that the jury will consist of exactly 2 women and 2 men? Express your answer as a common fraction in simplest form.\nAnswer:", "response": " C(6,2) = 15\nC(9,2) = 36\n15 * 36 = 540\nC(15,4) = 1365\n540/1365\ngcd(540, 1365) = 15\n540/15 = 36\n1365/15 = 91\n36/91\n#### \\frac{36}{91}", "source": "tp_probability", "tid": "15e7207ae6", "level": "general"}
|
| 54 |
+
{"prompt": "Question: A conference committee selects a jury of 4 members from a pool of 17 candidates, consisting of 9 women and 8 men. What is the probability that the jury will consist of exactly 3 women and 1 man? Express your answer as a common fraction in simplest form.\nAnswer:", "response": " C(9,3) = 84\nC(8,1) = 8\n84 * 8 = 672\nC(17,4) = 2380\n672/2380\ngcd(672, 2380) = 28\n672/28 = 24\n2380/28 = 85\n24/85\n#### \\frac{24}{85}", "source": "tp_probability", "tid": "15e7207ae6", "level": "general"}
|
| 55 |
+
{"prompt": "Question: A film festival committee selects a panel of 4 members from a pool of 18 candidates, consisting of 6 women and 12 men. What is the probability that the panel will consist of exactly 2 women and 2 men? Express your answer as a common fraction in simplest form.\nAnswer:", "response": " C(6,2) = 15\nC(12,2) = 66\n15 * 66 = 990\nC(18,4) = 3060\n990/3060\ngcd(990, 3060) = 90\n990/90 = 11\n3060/90 = 34\n11/34\n#### \\frac{11}{34}", "source": "tp_probability", "tid": "15e7207ae6", "level": "general"}
|
| 56 |
+
{"prompt": "Question: A debate competition selects a panel of 6 members from a pool of 11 candidates, consisting of 5 women and 6 men. What is the probability that the panel will consist of exactly 4 women and 2 men? Express your answer as a common fraction in simplest form.\nAnswer:", "response": " C(5,4) = 5\nC(6,2) = 15\n5 * 15 = 75\nC(11,6) = 462\n75/462\ngcd(75, 462) = 3\n75/3 = 25\n462/3 = 154\n25/154\n#### \\frac{25}{154}", "source": "tp_probability", "tid": "15e7207ae6", "level": "general"}
|
| 57 |
+
{"prompt": "Question: A sports league selects a jury of 6 members from a pool of 15 candidates, consisting of 10 women and 5 men. What is the probability that the jury will consist of exactly 4 women and 2 men? Express your answer as a common fraction in simplest form.\nAnswer:", "response": " C(10,4) = 210\nC(5,2) = 10\n210 * 10 = 2100\nC(15,6) = 5005\n2100/5005\ngcd(2100, 5005) = 35\n2100/35 = 60\n5005/35 = 143\n60/143\n#### \\frac{60}{143}", "source": "tp_probability", "tid": "15e7207ae6", "level": "general"}
|
| 58 |
+
{"prompt": "Question: A debate competition selects a panel of 4 members from a pool of 17 candidates, consisting of 11 women and 6 men. What is the probability that the panel will consist of exactly 1 woman and 3 men? Express your answer as a common fraction in simplest form.\nAnswer:", "response": " C(11,1) = 11\nC(6,3) = 20\n11 * 20 = 220\nC(17,4) = 2380\n220/2380\ngcd(220, 2380) = 20\n220/20 = 11\n2380/20 = 119\n11/119\n#### \\frac{11}{119}", "source": "tp_probability", "tid": "15e7207ae6", "level": "general"}
|
| 59 |
+
{"prompt": "Question: A sports league selects a jury of 6 members from a pool of 16 candidates, consisting of 10 women and 6 men. What is the probability that the jury will consist of exactly 1 woman and 5 men? Express your answer as a common fraction in simplest form.\nAnswer:", "response": " C(10,1) = 10\nC(6,5) = 6\n10 * 6 = 60\nC(16,6) = 8008\n60/8008\ngcd(60, 8008) = 4\n60/4 = 15\n8008/4 = 2002\n15/2002\n#### \\frac{15}{2002}", "source": "tp_probability", "tid": "15e7207ae6", "level": "general"}
|
| 60 |
+
{"prompt": "Question: A science fair board selects a panel of 4 members from a pool of 10 candidates, consisting of 5 women and 5 men. What is the probability that the panel will consist of exactly 1 woman and 3 men? Express your answer as a common fraction in simplest form.\nAnswer:", "response": " C(5,1) = 5\nC(5,3) = 10\n5 * 10 = 50\nC(10,4) = 210\n50/210\ngcd(50, 210) = 10\n50/10 = 5\n210/10 = 21\n5/21\n#### \\frac{5}{21}", "source": "tp_probability", "tid": "15e7207ae6", "level": "general"}
|
| 61 |
+
{"prompt": "Question: A conference committee selects a jury of 6 members from a pool of 11 candidates, consisting of 3 women and 8 men. What is the probability that the jury will consist of exactly 2 women and 4 men? Express your answer as a common fraction in simplest form.\nAnswer:", "response": " C(3,2) = 3\nC(8,4) = 70\n3 * 70 = 210\nC(11,6) = 462\n210/462\ngcd(210, 462) = 42\n210/42 = 5\n462/42 = 11\n5/11\n#### \\frac{5}{11}", "source": "tp_probability", "tid": "15e7207ae6", "level": "general"}
|
| 62 |
+
{"prompt": "Question: A science fair board selects a panel of 4 members from a pool of 18 candidates, consisting of 10 women and 8 men. What is the probability that the panel will consist of exactly 3 women and 1 man? Express your answer as a common fraction in simplest form.\nAnswer:", "response": " C(10,3) = 120\nC(8,1) = 8\n120 * 8 = 960\nC(18,4) = 3060\n960/3060\ngcd(960, 3060) = 60\n960/60 = 16\n3060/60 = 51\n16/51\n#### \\frac{16}{51}", "source": "tp_probability", "tid": "15e7207ae6", "level": "general"}
|
| 63 |
+
{"prompt": "Question: A film festival committee selects a panel of 7 members from a pool of 12 candidates, consisting of 7 women and 5 men. What is the probability that the panel will consist of exactly 5 women and 2 men? Express your answer as a common fraction in simplest form.\nAnswer:", "response": " C(7,5) = 21\nC(5,2) = 10\n21 * 10 = 210\nC(12,7) = 792\n210/792\ngcd(210, 792) = 6\n210/6 = 35\n792/6 = 132\n35/132\n#### \\frac{35}{132}", "source": "tp_probability", "tid": "15e7207ae6", "level": "general"}
|
| 64 |
+
{"prompt": "Question: A book club selects a panel of 6 members from a pool of 17 candidates, consisting of 12 women and 5 men. What is the probability that the panel will consist of exactly 3 women and 3 men? Express your answer as a common fraction in simplest form.\nAnswer:", "response": " C(12,3) = 220\nC(5,3) = 10\n220 * 10 = 2200\nC(17,6) = 12376\n2200/12376\ngcd(2200, 12376) = 8\n2200/8 = 275\n12376/8 = 1547\n275/1547\n#### \\frac{275}{1547}", "source": "tp_probability", "tid": "15e7207ae6", "level": "general"}
|
| 65 |
+
{"prompt": "Question: A conference committee selects a jury of 6 members from a pool of 10 candidates, consisting of 6 women and 4 men. What is the probability that the jury will consist of exactly 4 women and 2 men? Express your answer as a common fraction in simplest form.\nAnswer:", "response": " C(6,4) = 15\nC(4,2) = 6\n15 * 6 = 90\nC(10,6) = 210\n90/210\ngcd(90, 210) = 30\n90/30 = 3\n210/30 = 7\n3/7\n#### \\frac{3}{7}", "source": "tp_probability", "tid": "15e7207ae6", "level": "general"}
|
| 66 |
+
{"prompt": "Question: A debate competition selects a jury of 3 members from a pool of 13 candidates, consisting of 4 women and 9 men. What is the probability that the jury will consist of exactly 1 woman and 2 men? Express your answer as a common fraction in simplest form.\nAnswer:", "response": " C(4,1) = 4\nC(9,2) = 36\n4 * 36 = 144\nC(13,3) = 286\n144/286\ngcd(144, 286) = 2\n144/2 = 72\n286/2 = 143\n72/143\n#### \\frac{72}{143}", "source": "tp_probability", "tid": "15e7207ae6", "level": "general"}
|
| 67 |
+
{"prompt": "Question: A sports league selects a panel of 5 members from a pool of 10 candidates, consisting of 6 women and 4 men. What is the probability that the panel will consist of exactly 3 women and 2 men? Express your answer as a common fraction in simplest form.\nAnswer:", "response": " C(6,3) = 20\nC(4,2) = 6\n20 * 6 = 120\nC(10,5) = 252\n120/252\ngcd(120, 252) = 12\n120/12 = 10\n252/12 = 21\n10/21\n#### \\frac{10}{21}", "source": "tp_probability", "tid": "15e7207ae6", "level": "general"}
|
| 68 |
+
{"prompt": "Question: A science fair board selects a jury of 3 members from a pool of 10 candidates, consisting of 3 women and 7 men. What is the probability that the jury will consist of exactly 2 women and 1 man? Express your answer as a common fraction in simplest form.\nAnswer:", "response": " C(3,2) = 3\nC(7,1) = 7\n3 * 7 = 21\nC(10,3) = 120\n21/120\ngcd(21, 120) = 3\n21/3 = 7\n120/3 = 40\n7/40\n#### \\frac{7}{40}", "source": "tp_probability", "tid": "15e7207ae6", "level": "general"}
|
| 69 |
+
{"prompt": "Question: A book club selects a panel of 5 members from a pool of 17 candidates, consisting of 11 women and 6 men. What is the probability that the panel will consist of exactly 2 women and 3 men? Express your answer as a common fraction in simplest form.\nAnswer:", "response": " C(11,2) = 55\nC(6,3) = 20\n55 * 20 = 1100\nC(17,5) = 6188\n1100/6188\ngcd(1100, 6188) = 4\n1100/4 = 275\n6188/4 = 1547\n275/1547\n#### \\frac{275}{1547}", "source": "tp_probability", "tid": "15e7207ae6", "level": "general"}
|
| 70 |
+
{"prompt": "Question: A sports league selects a panel of 7 members from a pool of 14 candidates, consisting of 9 women and 5 men. What is the probability that the panel will consist of exactly 4 women and 3 men? Express your answer as a common fraction in simplest form.\nAnswer:", "response": " C(9,4) = 126\nC(5,3) = 10\n126 * 10 = 1260\nC(14,7) = 3432\n1260/3432\ngcd(1260, 3432) = 12\n1260/12 = 105\n3432/12 = 286\n105/286\n#### \\frac{105}{286}", "source": "tp_probability", "tid": "15e7207ae6", "level": "general"}
|
| 71 |
+
{"prompt": "Question: A sports league selects a jury of 7 members from a pool of 10 candidates, consisting of 6 women and 4 men. What is the probability that the jury will consist of exactly 4 women and 3 men? Express your answer as a common fraction in simplest form.\nAnswer:", "response": " C(6,4) = 15\nC(4,3) = 4\n15 * 4 = 60\nC(10,7) = 120\n60/120\ngcd(60, 120) = 60\n60/60 = 1\n120/60 = 2\n1/2\n#### \\frac{1}{2}", "source": "tp_probability", "tid": "15e7207ae6", "level": "general"}
|
| 72 |
+
{"prompt": "Question: A debate competition selects a jury of 3 members from a pool of 18 candidates, consisting of 6 women and 12 men. What is the probability that the jury will consist of exactly 2 women and 1 man? Express your answer as a common fraction in simplest form.\nAnswer:", "response": " C(6,2) = 15\nC(12,1) = 12\n15 * 12 = 180\nC(18,3) = 816\n180/816\ngcd(180, 816) = 12\n180/12 = 15\n816/12 = 68\n15/68\n#### \\frac{15}{68}", "source": "tp_probability", "tid": "15e7207ae6", "level": "general"}
|
| 73 |
+
{"prompt": "Question: A science fair board selects a panel of 7 members from a pool of 16 candidates, consisting of 10 women and 6 men. What is the probability that the panel will consist of exactly 5 women and 2 men? Express your answer as a common fraction in simplest form.\nAnswer:", "response": " C(10,5) = 252\nC(6,2) = 15\n252 * 15 = 3780\nC(16,7) = 11440\n3780/11440\ngcd(3780, 11440) = 20\n3780/20 = 189\n11440/20 = 572\n189/572\n#### \\frac{189}{572}", "source": "tp_probability", "tid": "15e7207ae6", "level": "general"}
|
| 74 |
+
{"prompt": "Question: A film festival committee selects a jury of 5 members from a pool of 13 candidates, consisting of 9 women and 4 men. What is the probability that the jury will consist of exactly 3 women and 2 men? Express your answer as a common fraction in simplest form.\nAnswer:", "response": " C(9,3) = 84\nC(4,2) = 6\n84 * 6 = 504\nC(13,5) = 1287\n504/1287\ngcd(504, 1287) = 9\n504/9 = 56\n1287/9 = 143\n56/143\n#### \\frac{56}{143}", "source": "tp_probability", "tid": "15e7207ae6", "level": "general"}
|
| 75 |
+
{"prompt": "Question: A book club selects a jury of 3 members from a pool of 10 candidates, consisting of 3 women and 7 men. What is the probability that the jury will consist of exactly 1 woman and 2 men? Express your answer as a common fraction in simplest form.\nAnswer:", "response": " C(3,1) = 3\nC(7,2) = 21\n3 * 21 = 63\nC(10,3) = 120\n63/120\ngcd(63, 120) = 3\n63/3 = 21\n120/3 = 40\n21/40\n#### \\frac{21}{40}", "source": "tp_probability", "tid": "15e7207ae6", "level": "general"}
|
| 76 |
+
{"prompt": "Question: A film festival committee selects a jury of 5 members from a pool of 17 candidates, consisting of 7 women and 10 men. What is the probability that the jury will consist of exactly 2 women and 3 men? Express your answer as a common fraction in simplest form.\nAnswer:", "response": " C(7,2) = 21\nC(10,3) = 120\n21 * 120 = 2520\nC(17,5) = 6188\n2520/6188\ngcd(2520, 6188) = 28\n2520/28 = 90\n6188/28 = 221\n90/221\n#### \\frac{90}{221}", "source": "tp_probability", "tid": "15e7207ae6", "level": "general"}
|
| 77 |
+
{"prompt": "Question: A film festival committee selects a jury of 3 members from a pool of 16 candidates, consisting of 10 women and 6 men. What is the probability that the jury will consist of exactly 1 woman and 2 men? Express your answer as a common fraction in simplest form.\nAnswer:", "response": " C(10,1) = 10\nC(6,2) = 15\n10 * 15 = 150\nC(16,3) = 560\n150/560\ngcd(150, 560) = 10\n150/10 = 15\n560/10 = 56\n15/56\n#### \\frac{15}{56}", "source": "tp_probability", "tid": "15e7207ae6", "level": "general"}
|
| 78 |
+
{"prompt": "Question: A film festival committee selects a jury of 6 members from a pool of 11 candidates, consisting of 6 women and 5 men. What is the probability that the jury will consist of exactly 2 women and 4 men? Express your answer as a common fraction in simplest form.\nAnswer:", "response": " C(6,2) = 15\nC(5,4) = 5\n15 * 5 = 75\nC(11,6) = 462\n75/462\ngcd(75, 462) = 3\n75/3 = 25\n462/3 = 154\n25/154\n#### \\frac{25}{154}", "source": "tp_probability", "tid": "15e7207ae6", "level": "general"}
|
| 79 |
+
{"prompt": "Question: A film festival committee selects a panel of 5 members from a pool of 11 candidates, consisting of 3 women and 8 men. What is the probability that the panel will consist of exactly 1 woman and 4 men? Express your answer as a common fraction in simplest form.\nAnswer:", "response": " C(3,1) = 3\nC(8,4) = 70\n3 * 70 = 210\nC(11,5) = 462\n210/462\ngcd(210, 462) = 42\n210/42 = 5\n462/42 = 11\n5/11\n#### \\frac{5}{11}", "source": "tp_probability", "tid": "15e7207ae6", "level": "general"}
|
| 80 |
+
{"prompt": "Question: A science fair board selects a panel of 3 members from a pool of 12 candidates, consisting of 5 women and 7 men. What is the probability that the panel will consist of exactly 1 woman and 2 men? Express your answer as a common fraction in simplest form.\nAnswer:", "response": " C(5,1) = 5\nC(7,2) = 21\n5 * 21 = 105\nC(12,3) = 220\n105/220\ngcd(105, 220) = 5\n105/5 = 21\n220/5 = 44\n21/44\n#### \\frac{21}{44}", "source": "tp_probability", "tid": "15e7207ae6", "level": "general"}
|
| 81 |
+
{"prompt": "Question: Three artisans, G, F, and A, are repairing a set of 103 historic chairs. G can repair 7 chairs per hour, F can repair 6 chairs per hour, and A can repair 2 chairs per hour. They work together for 5 hours, but G stops working for the last hour due to a break. How many chairs have been repaired by the end of the 5-hour period?\nAnswer:", "response": " G repairs 7 chairs per hour for 4 hours, totaling 28 chairs.\nF repairs 6 chairs per hour for 5 hours, totaling 30 chairs.\nA repairs 2 chairs per hour for 5 hours, totaling 10 chairs.\nThe total number of chairs repaired is 28 + 30 + 10 = 68.\n#### 68", "source": "tp_wordproblem", "tid": "f2afa70d4a", "level": "general"}
|
| 82 |
+
{"prompt": "Question: Three artisans, A, G, and B, are repairing a set of 169 historic tools. They are scheduled to work for 8 hours, but during the final hour A is on break. A can repair 2 tools per hour, G can repair 9 tools per hour, and B can repair 7 tools per hour. How many tools have been repaired by the end of the 8-hour period?\nAnswer:", "response": " A repairs 2 tools per hour for 7 hours, totaling 14 tools.\nG repairs 9 tools per hour for 8 hours, totaling 72 tools.\nB repairs 7 tools per hour for 8 hours, totaling 56 tools.\nThe total number of tools repaired is 14 + 72 + 56 = 142.\n#### 142", "source": "tp_wordproblem", "tid": "f2afa70d4a", "level": "general"}
|
| 83 |
+
{"prompt": "Question: Three artisans, G, B, and H, are repairing a set of 78 historic tables. They work together for 3 hours, but H stops working for the last hour due to a break. G can repair 3 tables per hour, B can repair 5 tables per hour, and H can repair 8 tables per hour. How many tables have been repaired by the end of the 3-hour period?\nAnswer:", "response": " G repairs 3 tables per hour for 3 hours, totaling 9 tables.\nB repairs 5 tables per hour for 3 hours, totaling 15 tables.\nH repairs 8 tables per hour for 2 hours, totaling 16 tables.\nThe total number of tables repaired is 9 + 15 + 16 = 40.\n#### 40", "source": "tp_wordproblem", "tid": "f2afa70d4a", "level": "general"}
|
| 84 |
+
{"prompt": "Question: Three artisans, H, E, and C, are repairing a set of 138 historic lamps. H can repair 4 lamps per hour, E can repair 8 lamps per hour, and C can repair 8 lamps per hour. They are scheduled to work for 6 hours; in the last hour, E is on break, so only the other two work. How many lamps have been repaired by the end of the 6-hour period?\nAnswer:", "response": " H repairs 4 lamps per hour for 6 hours, totaling 24 lamps.\nE repairs 8 lamps per hour for 5 hours, totaling 40 lamps.\nC repairs 8 lamps per hour for 6 hours, totaling 48 lamps.\nThe total number of lamps repaired is 24 + 40 + 48 = 112.\n#### 112", "source": "tp_wordproblem", "tid": "f2afa70d4a", "level": "general"}
|
| 85 |
+
{"prompt": "Question: Three artisans, G, A, and F, are repairing a set of 236 historic clocks. They are scheduled to work for 7 hours, but during the final hour G is on break. G can repair 10 clocks per hour, A can repair 9 clocks per hour, and F can repair 9 clocks per hour. How many clocks have been repaired by the end of the 7-hour period?\nAnswer:", "response": " G repairs 10 clocks per hour for 6 hours, totaling 60 clocks.\nA repairs 9 clocks per hour for 7 hours, totaling 63 clocks.\nF repairs 9 clocks per hour for 7 hours, totaling 63 clocks.\nThe total number of clocks repaired is 60 + 63 + 63 = 186.\n#### 186", "source": "tp_wordproblem", "tid": "f2afa70d4a", "level": "general"}
|
| 86 |
+
{"prompt": "Question: Three artisans, H, G, and D, are repairing a set of 198 historic tables. H can repair 9 tables per hour, G can repair 7 tables per hour, and D can repair 10 tables per hour. They are scheduled to work for 7 hours; in the last hour, G is on break, so only the other two work. How many tables have been repaired by the end of the 7-hour period?\nAnswer:", "response": " H repairs 9 tables per hour for 7 hours, totaling 63 tables.\nG repairs 7 tables per hour for 6 hours, totaling 42 tables.\nD repairs 10 tables per hour for 7 hours, totaling 70 tables.\nThe total number of tables repaired is 63 + 42 + 70 = 175.\n#### 175", "source": "tp_wordproblem", "tid": "f2afa70d4a", "level": "general"}
|
| 87 |
+
{"prompt": "Question: Three artisans, F, A, and B, are repairing a set of 120 historic lamps. They work together for 6 hours, but A stops working for the last hour due to a break. F can repair 8 lamps per hour, A can repair 1 lamp per hour, and B can repair 4 lamps per hour. How many lamps have been repaired by the end of the 6-hour period?\nAnswer:", "response": " F repairs 8 lamps per hour for 6 hours, totaling 48 lamps.\nA repairs 1 lamp per hour for 5 hours, totaling 5 lamps.\nB repairs 4 lamps per hour for 6 hours, totaling 24 lamps.\nThe total number of lamps repaired is 48 + 5 + 24 = 77.\n#### 77", "source": "tp_wordproblem", "tid": "f2afa70d4a", "level": "general"}
|
| 88 |
+
{"prompt": "Question: Three artisans, A, G, and E, are repairing a set of 34 historic tools. They work together for 3 hours, but E stops working for the last hour due to a break. A can repair 3 tools per hour, G can repair 5 tools per hour, and E can repair 3 tools per hour. How many tools have been repaired by the end of the 3-hour period?\nAnswer:", "response": " A repairs 3 tools per hour for 3 hours, totaling 9 tools.\nG repairs 5 tools per hour for 3 hours, totaling 15 tools.\nE repairs 3 tools per hour for 2 hours, totaling 6 tools.\nThe total number of tools repaired is 9 + 15 + 6 = 30.\n#### 30", "source": "tp_wordproblem", "tid": "f2afa70d4a", "level": "general"}
|
| 89 |
+
{"prompt": "Question: Three artisans, H, C, and A, are repairing a set of 83 historic lamps. H can repair 2 lamps per hour, C can repair 1 lamp per hour, and A can repair 3 lamps per hour. They are scheduled to work for 8 hours; in the last hour, A is on break, so only the other two work. How many lamps have been repaired by the end of the 8-hour period?\nAnswer:", "response": " H repairs 2 lamps per hour for 8 hours, totaling 16 lamps.\nC repairs 1 lamp per hour for 8 hours, totaling 8 lamps.\nA repairs 3 lamps per hour for 7 hours, totaling 21 lamps.\nThe total number of lamps repaired is 16 + 8 + 21 = 45.\n#### 45", "source": "tp_wordproblem", "tid": "f2afa70d4a", "level": "general"}
|
| 90 |
+
{"prompt": "Question: Three artisans, C, A, and D, are repairing a set of 183 historic clocks. C can repair 2 clocks per hour, A can repair 9 clocks per hour, and D can repair 8 clocks per hour. They work together for 8 hours, but C stops working for the last hour due to a break. How many clocks have been repaired by the end of the 8-hour period?\nAnswer:", "response": " C repairs 2 clocks per hour for 7 hours, totaling 14 clocks.\nA repairs 9 clocks per hour for 8 hours, totaling 72 clocks.\nD repairs 8 clocks per hour for 8 hours, totaling 64 clocks.\nThe total number of clocks repaired is 14 + 72 + 64 = 150.\n#### 150", "source": "tp_wordproblem", "tid": "f2afa70d4a", "level": "general"}
|
| 91 |
+
{"prompt": "Question: Three artisans, F, C, and A, are repairing a set of 111 historic tables. F can repair 7 tables per hour, C can repair 3 tables per hour, and A can repair 8 tables per hour. They are scheduled to work for 5 hours, but during the final hour A is on break. How many tables have been repaired by the end of the 5-hour period?\nAnswer:", "response": " F repairs 7 tables per hour for 5 hours, totaling 35 tables.\nC repairs 3 tables per hour for 5 hours, totaling 15 tables.\nA repairs 8 tables per hour for 4 hours, totaling 32 tables.\nThe total number of tables repaired is 35 + 15 + 32 = 82.\n#### 82", "source": "tp_wordproblem", "tid": "f2afa70d4a", "level": "general"}
|
| 92 |
+
{"prompt": "Question: Three artisans, F, B, and G, are repairing a set of 55 historic tools. They are scheduled to work for 2 hours, but during the final hour B is on break. F can repair 7 tools per hour, B can repair 4 tools per hour, and G can repair 10 tools per hour. How many tools have been repaired by the end of the 2-hour period?\nAnswer:", "response": " F repairs 7 tools per hour for 2 hours, totaling 14 tools.\nB repairs 4 tools per hour for 1 hour, totaling 4 tools.\nG repairs 10 tools per hour for 2 hours, totaling 20 tools.\nThe total number of tools repaired is 14 + 4 + 20 = 38.\n#### 38", "source": "tp_wordproblem", "tid": "f2afa70d4a", "level": "general"}
|
| 93 |
+
{"prompt": "Question: Three artisans, H, G, and C, are repairing a set of 92 historic lamps. H can repair 3 lamps per hour, G can repair 10 lamps per hour, and C can repair 10 lamps per hour. They are scheduled to work for 2 hours, but during the final hour G is on break. How many lamps have been repaired by the end of the 2-hour period?\nAnswer:", "response": " H repairs 3 lamps per hour for 2 hours, totaling 6 lamps.\nG repairs 10 lamps per hour for 1 hour, totaling 10 lamps.\nC repairs 10 lamps per hour for 2 hours, totaling 20 lamps.\nThe total number of lamps repaired is 6 + 10 + 20 = 36.\n#### 36", "source": "tp_wordproblem", "tid": "f2afa70d4a", "level": "general"}
|
| 94 |
+
{"prompt": "Question: Three artisans, A, B, and C, are repairing a set of 138 historic clocks. They are scheduled to work for 7 hours, but during the final hour C is on break. A can repair 1 clock per hour, B can repair 7 clocks per hour, and C can repair 7 clocks per hour. How many clocks have been repaired by the end of the 7-hour period?\nAnswer:", "response": " A repairs 1 clock per hour for 7 hours, totaling 7 clocks.\nB repairs 7 clocks per hour for 7 hours, totaling 49 clocks.\nC repairs 7 clocks per hour for 6 hours, totaling 42 clocks.\nThe total number of clocks repaired is 7 + 49 + 42 = 98.\n#### 98", "source": "tp_wordproblem", "tid": "f2afa70d4a", "level": "general"}
|
| 95 |
+
{"prompt": "Question: Three artisans, B, G, and C, are repairing a set of 125 historic tools. B can repair 8 tools per hour, G can repair 9 tools per hour, and C can repair 7 tools per hour. They are scheduled to work for 4 hours, but during the final hour G is on break. How many tools have been repaired by the end of the 4-hour period?\nAnswer:", "response": " B repairs 8 tools per hour for 4 hours, totaling 32 tools.\nG repairs 9 tools per hour for 3 hours, totaling 27 tools.\nC repairs 7 tools per hour for 4 hours, totaling 28 tools.\nThe total number of tools repaired is 32 + 27 + 28 = 87.\n#### 87", "source": "tp_wordproblem", "tid": "f2afa70d4a", "level": "general"}
|
| 96 |
+
{"prompt": "Question: Three artisans, F, H, and D, are repairing a set of 106 historic tools. F can repair 9 tools per hour, H can repair 6 tools per hour, and D can repair 9 tools per hour. They work together for 3 hours, but D stops working for the last hour due to a break. How many tools have been repaired by the end of the 3-hour period?\nAnswer:", "response": " F repairs 9 tools per hour for 3 hours, totaling 27 tools.\nH repairs 6 tools per hour for 3 hours, totaling 18 tools.\nD repairs 9 tools per hour for 2 hours, totaling 18 tools.\nThe total number of tools repaired is 27 + 18 + 18 = 63.\n#### 63", "source": "tp_wordproblem", "tid": "f2afa70d4a", "level": "general"}
|
| 97 |
+
{"prompt": "Question: Three artisans, H, F, and D, are repairing a set of 63 historic vases. They work together for 4 hours, but H stops working for the last hour due to a break. H can repair 4 vases per hour, F can repair 2 vases per hour, and D can repair 6 vases per hour. How many vases have been repaired by the end of the 4-hour period?\nAnswer:", "response": " H repairs 4 vases per hour for 3 hours, totaling 12 vases.\nF repairs 2 vases per hour for 4 hours, totaling 8 vases.\nD repairs 6 vases per hour for 4 hours, totaling 24 vases.\nThe total number of vases repaired is 12 + 8 + 24 = 44.\n#### 44", "source": "tp_wordproblem", "tid": "f2afa70d4a", "level": "general"}
|
| 98 |
+
{"prompt": "Question: Three artisans, G, F, and D, are repairing a set of 110 historic clocks. They are scheduled to work for 4 hours; in the last hour, G is on break, so only the other two work. G can repair 2 clocks per hour, F can repair 4 clocks per hour, and D can repair 10 clocks per hour. How many clocks have been repaired by the end of the 4-hour period?\nAnswer:", "response": " G repairs 2 clocks per hour for 3 hours, totaling 6 clocks.\nF repairs 4 clocks per hour for 4 hours, totaling 16 clocks.\nD repairs 10 clocks per hour for 4 hours, totaling 40 clocks.\nThe total number of clocks repaired is 6 + 16 + 40 = 62.\n#### 62", "source": "tp_wordproblem", "tid": "f2afa70d4a", "level": "general"}
|
| 99 |
+
{"prompt": "Question: Three artisans, A, C, and B, are repairing a set of 120 historic clocks. They are scheduled to work for 6 hours, but during the final hour B is on break. A can repair 2 clocks per hour, C can repair 4 clocks per hour, and B can repair 8 clocks per hour. How many clocks have been repaired by the end of the 6-hour period?\nAnswer:", "response": " A repairs 2 clocks per hour for 6 hours, totaling 12 clocks.\nC repairs 4 clocks per hour for 6 hours, totaling 24 clocks.\nB repairs 8 clocks per hour for 5 hours, totaling 40 clocks.\nThe total number of clocks repaired is 12 + 24 + 40 = 76.\n#### 76", "source": "tp_wordproblem", "tid": "f2afa70d4a", "level": "general"}
|
| 100 |
+
{"prompt": "Question: Three artisans, B, A, and D, are repairing a set of 112 historic vases. B can repair 7 vases per hour, A can repair 10 vases per hour, and D can repair 3 vases per hour. They are scheduled to work for 4 hours, but during the final hour B is on break. How many vases have been repaired by the end of the 4-hour period?\nAnswer:", "response": " B repairs 7 vases per hour for 3 hours, totaling 21 vases.\nA repairs 10 vases per hour for 4 hours, totaling 40 vases.\nD repairs 3 vases per hour for 4 hours, totaling 12 vases.\nThe total number of vases repaired is 21 + 40 + 12 = 73.\n#### 73", "source": "tp_wordproblem", "tid": "f2afa70d4a", "level": "general"}
|
| 101 |
+
{"prompt": "Question: Three artisans, C, E, and B, are repairing a set of 161 historic chairs. C can repair 5 chairs per hour, E can repair 9 chairs per hour, and B can repair 7 chairs per hour. They are scheduled to work for 6 hours, but during the final hour E is on break. How many chairs have been repaired by the end of the 6-hour period?\nAnswer:", "response": " C repairs 5 chairs per hour for 6 hours, totaling 30 chairs.\nE repairs 9 chairs per hour for 5 hours, totaling 45 chairs.\nB repairs 7 chairs per hour for 6 hours, totaling 42 chairs.\nThe total number of chairs repaired is 30 + 45 + 42 = 117.\n#### 117", "source": "tp_wordproblem", "tid": "f2afa70d4a", "level": "general"}
|
| 102 |
+
{"prompt": "Question: Three artisans, C, D, and E, are repairing a set of 126 historic lamps. They are scheduled to work for 6 hours; in the last hour, E is on break, so only the other two work. C can repair 6 lamps per hour, D can repair 2 lamps per hour, and E can repair 7 lamps per hour. How many lamps have been repaired by the end of the 6-hour period?\nAnswer:", "response": " C repairs 6 lamps per hour for 6 hours, totaling 36 lamps.\nD repairs 2 lamps per hour for 6 hours, totaling 12 lamps.\nE repairs 7 lamps per hour for 5 hours, totaling 35 lamps.\nThe total number of lamps repaired is 36 + 12 + 35 = 83.\n#### 83", "source": "tp_wordproblem", "tid": "f2afa70d4a", "level": "general"}
|
| 103 |
+
{"prompt": "Question: Three artisans, H, F, and D, are repairing a set of 106 historic chairs. They are scheduled to work for 4 hours, but during the final hour H is on break. H can repair 8 chairs per hour, F can repair 3 chairs per hour, and D can repair 7 chairs per hour. How many chairs have been repaired by the end of the 4-hour period?\nAnswer:", "response": " H repairs 8 chairs per hour for 3 hours, totaling 24 chairs.\nF repairs 3 chairs per hour for 4 hours, totaling 12 chairs.\nD repairs 7 chairs per hour for 4 hours, totaling 28 chairs.\nThe total number of chairs repaired is 24 + 12 + 28 = 64.\n#### 64", "source": "tp_wordproblem", "tid": "f2afa70d4a", "level": "general"}
|
| 104 |
+
{"prompt": "Question: Three artisans, A, D, and G, are repairing a set of 107 historic tools. A can repair 6 tools per hour, D can repair 9 tools per hour, and G can repair 2 tools per hour. They are scheduled to work for 5 hours; in the last hour, G is on break, so only the other two work. How many tools have been repaired by the end of the 5-hour period?\nAnswer:", "response": " A repairs 6 tools per hour for 5 hours, totaling 30 tools.\nD repairs 9 tools per hour for 5 hours, totaling 45 tools.\nG repairs 2 tools per hour for 4 hours, totaling 8 tools.\nThe total number of tools repaired is 30 + 45 + 8 = 83.\n#### 83", "source": "tp_wordproblem", "tid": "f2afa70d4a", "level": "general"}
|
| 105 |
+
{"prompt": "Question: Three artisans, D, A, and G, are repairing a set of 110 historic chairs. D can repair 4 chairs per hour, A can repair 6 chairs per hour, and G can repair 4 chairs per hour. They are scheduled to work for 7 hours; in the last hour, G is on break, so only the other two work. How many chairs have been repaired by the end of the 7-hour period?\nAnswer:", "response": " D repairs 4 chairs per hour for 7 hours, totaling 28 chairs.\nA repairs 6 chairs per hour for 7 hours, totaling 42 chairs.\nG repairs 4 chairs per hour for 6 hours, totaling 24 chairs.\nThe total number of chairs repaired is 28 + 42 + 24 = 94.\n#### 94", "source": "tp_wordproblem", "tid": "f2afa70d4a", "level": "general"}
|
| 106 |
+
{"prompt": "Question: Three artisans, A, D, and C, are repairing a set of 120 historic tools. A can repair 7 tools per hour, D can repair 5 tools per hour, and C can repair 4 tools per hour. They are scheduled to work for 6 hours; in the last hour, D is on break, so only the other two work. How many tools have been repaired by the end of the 6-hour period?\nAnswer:", "response": " A repairs 7 tools per hour for 6 hours, totaling 42 tools.\nD repairs 5 tools per hour for 5 hours, totaling 25 tools.\nC repairs 4 tools per hour for 6 hours, totaling 24 tools.\nThe total number of tools repaired is 42 + 25 + 24 = 91.\n#### 91", "source": "tp_wordproblem", "tid": "f2afa70d4a", "level": "general"}
|
| 107 |
+
{"prompt": "Question: Three artisans, A, H, and G, are repairing a set of 90 historic tools. They are scheduled to work for 2 hours, but during the final hour G is on break. A can repair 9 tools per hour, H can repair 8 tools per hour, and G can repair 4 tools per hour. How many tools have been repaired by the end of the 2-hour period?\nAnswer:", "response": " A repairs 9 tools per hour for 2 hours, totaling 18 tools.\nH repairs 8 tools per hour for 2 hours, totaling 16 tools.\nG repairs 4 tools per hour for 1 hour, totaling 4 tools.\nThe total number of tools repaired is 18 + 16 + 4 = 38.\n#### 38", "source": "tp_wordproblem", "tid": "f2afa70d4a", "level": "general"}
|
| 108 |
+
{"prompt": "Question: Three artisans, H, E, and D, are repairing a set of 85 historic clocks. H can repair 5 clocks per hour, E can repair 4 clocks per hour, and D can repair 8 clocks per hour. They work together for 4 hours, but D stops working for the last hour due to a break. How many clocks have been repaired by the end of the 4-hour period?\nAnswer:", "response": " H repairs 5 clocks per hour for 4 hours, totaling 20 clocks.\nE repairs 4 clocks per hour for 4 hours, totaling 16 clocks.\nD repairs 8 clocks per hour for 3 hours, totaling 24 clocks.\nThe total number of clocks repaired is 20 + 16 + 24 = 60.\n#### 60", "source": "tp_wordproblem", "tid": "f2afa70d4a", "level": "general"}
|
| 109 |
+
{"prompt": "Question: Three artisans, E, F, and H, are repairing a set of 168 historic chairs. They are scheduled to work for 6 hours, but during the final hour H is on break. E can repair 9 chairs per hour, F can repair 3 chairs per hour, and H can repair 9 chairs per hour. How many chairs have been repaired by the end of the 6-hour period?\nAnswer:", "response": " E repairs 9 chairs per hour for 6 hours, totaling 54 chairs.\nF repairs 3 chairs per hour for 6 hours, totaling 18 chairs.\nH repairs 9 chairs per hour for 5 hours, totaling 45 chairs.\nThe total number of chairs repaired is 54 + 18 + 45 = 117.\n#### 117", "source": "tp_wordproblem", "tid": "f2afa70d4a", "level": "general"}
|
| 110 |
+
{"prompt": "Question: Three artisans, A, D, and E, are repairing a set of 168 historic chairs. A can repair 3 chairs per hour, D can repair 4 chairs per hour, and E can repair 8 chairs per hour. They work together for 8 hours, but E stops working for the last hour due to a break. How many chairs have been repaired by the end of the 8-hour period?\nAnswer:", "response": " A repairs 3 chairs per hour for 8 hours, totaling 24 chairs.\nD repairs 4 chairs per hour for 8 hours, totaling 32 chairs.\nE repairs 8 chairs per hour for 7 hours, totaling 56 chairs.\nThe total number of chairs repaired is 24 + 32 + 56 = 112.\n#### 112", "source": "tp_wordproblem", "tid": "f2afa70d4a", "level": "general"}
|
| 111 |
+
{"prompt": "Question: Three artisans, A, H, and C, are repairing a set of 120 historic chairs. A can repair 6 chairs per hour, H can repair 1 chair per hour, and C can repair 6 chairs per hour. They are scheduled to work for 7 hours, but during the final hour H is on break. How many chairs have been repaired by the end of the 7-hour period?\nAnswer:", "response": " A repairs 6 chairs per hour for 7 hours, totaling 42 chairs.\nH repairs 1 chair per hour for 6 hours, totaling 6 chairs.\nC repairs 6 chairs per hour for 7 hours, totaling 42 chairs.\nThe total number of chairs repaired is 42 + 6 + 42 = 90.\n#### 90", "source": "tp_wordproblem", "tid": "f2afa70d4a", "level": "general"}
|
| 112 |
+
{"prompt": "Question: Three artisans, G, F, and E, are repairing a set of 64 historic tools. G can repair 7 tools per hour, F can repair 3 tools per hour, and E can repair 6 tools per hour. They work together for 3 hours, but F stops working for the last hour due to a break. How many tools have been repaired by the end of the 3-hour period?\nAnswer:", "response": " G repairs 7 tools per hour for 3 hours, totaling 21 tools.\nF repairs 3 tools per hour for 2 hours, totaling 6 tools.\nE repairs 6 tools per hour for 3 hours, totaling 18 tools.\nThe total number of tools repaired is 21 + 6 + 18 = 45.\n#### 45", "source": "tp_wordproblem", "tid": "f2afa70d4a", "level": "general"}
|
| 113 |
+
{"prompt": "Question: Three artisans, D, F, and C, are repairing a set of 125 historic clocks. D can repair 8 clocks per hour, F can repair 2 clocks per hour, and C can repair 2 clocks per hour. They work together for 7 hours, but C stops working for the last hour due to a break. How many clocks have been repaired by the end of the 7-hour period?\nAnswer:", "response": " D repairs 8 clocks per hour for 7 hours, totaling 56 clocks.\nF repairs 2 clocks per hour for 7 hours, totaling 14 clocks.\nC repairs 2 clocks per hour for 6 hours, totaling 12 clocks.\nThe total number of clocks repaired is 56 + 14 + 12 = 82.\n#### 82", "source": "tp_wordproblem", "tid": "f2afa70d4a", "level": "general"}
|
| 114 |
+
{"prompt": "Question: Three artisans, A, F, and H, are repairing a set of 69 historic chairs. A can repair 2 chairs per hour, F can repair 2 chairs per hour, and H can repair 7 chairs per hour. They work together for 2 hours, but A stops working for the last hour due to a break. How many chairs have been repaired by the end of the 2-hour period?\nAnswer:", "response": " A repairs 2 chairs per hour for 1 hour, totaling 2 chairs.\nF repairs 2 chairs per hour for 2 hours, totaling 4 chairs.\nH repairs 7 chairs per hour for 2 hours, totaling 14 chairs.\nThe total number of chairs repaired is 2 + 4 + 14 = 20.\n#### 20", "source": "tp_wordproblem", "tid": "f2afa70d4a", "level": "general"}
|
| 115 |
+
{"prompt": "Question: Three artisans, H, B, and C, are repairing a set of 60 historic tools. H can repair 3 tools per hour, B can repair 2 tools per hour, and C can repair 1 tool per hour. They work together for 5 hours, but H stops working for the last hour due to a break. How many tools have been repaired by the end of the 5-hour period?\nAnswer:", "response": " H repairs 3 tools per hour for 4 hours, totaling 12 tools.\nB repairs 2 tools per hour for 5 hours, totaling 10 tools.\nC repairs 1 tool per hour for 5 hours, totaling 5 tools.\nThe total number of tools repaired is 12 + 10 + 5 = 27.\n#### 27", "source": "tp_wordproblem", "tid": "f2afa70d4a", "level": "general"}
|
| 116 |
+
{"prompt": "Question: Three artisans, G, F, and H, are repairing a set of 38 historic clocks. G can repair 2 clocks per hour, F can repair 2 clocks per hour, and H can repair 1 clock per hour. They work together for 2 hours, but F stops working for the last hour due to a break. How many clocks have been repaired by the end of the 2-hour period?\nAnswer:", "response": " G repairs 2 clocks per hour for 2 hours, totaling 4 clocks.\nF repairs 2 clocks per hour for 1 hour, totaling 2 clocks.\nH repairs 1 clock per hour for 2 hours, totaling 2 clocks.\nThe total number of clocks repaired is 4 + 2 + 2 = 8.\n#### 8", "source": "tp_wordproblem", "tid": "f2afa70d4a", "level": "general"}
|
| 117 |
+
{"prompt": "Question: Three artisans, B, D, and F, are repairing a set of 63 historic vases. B can repair 8 vases per hour, D can repair 2 vases per hour, and F can repair 1 vase per hour. They are scheduled to work for 2 hours; in the last hour, D is on break, so only the other two work. How many vases have been repaired by the end of the 2-hour period?\nAnswer:", "response": " B repairs 8 vases per hour for 2 hours, totaling 16 vases.\nD repairs 2 vases per hour for 1 hour, totaling 2 vases.\nF repairs 1 vase per hour for 2 hours, totaling 2 vases.\nThe total number of vases repaired is 16 + 2 + 2 = 20.\n#### 20", "source": "tp_wordproblem", "tid": "f2afa70d4a", "level": "general"}
|
| 118 |
+
{"prompt": "Question: Three artisans, B, A, and C, are repairing a set of 82 historic tools. They are scheduled to work for 5 hours, but during the final hour B is on break. B can repair 3 tools per hour, A can repair 2 tools per hour, and C can repair 6 tools per hour. How many tools have been repaired by the end of the 5-hour period?\nAnswer:", "response": " B repairs 3 tools per hour for 4 hours, totaling 12 tools.\nA repairs 2 tools per hour for 5 hours, totaling 10 tools.\nC repairs 6 tools per hour for 5 hours, totaling 30 tools.\nThe total number of tools repaired is 12 + 10 + 30 = 52.\n#### 52", "source": "tp_wordproblem", "tid": "f2afa70d4a", "level": "general"}
|
| 119 |
+
{"prompt": "Question: Three artisans, C, B, and F, are repairing a set of 115 historic lamps. They work together for 8 hours, but B stops working for the last hour due to a break. C can repair 2 lamps per hour, B can repair 1 lamp per hour, and F can repair 4 lamps per hour. How many lamps have been repaired by the end of the 8-hour period?\nAnswer:", "response": " C repairs 2 lamps per hour for 8 hours, totaling 16 lamps.\nB repairs 1 lamp per hour for 7 hours, totaling 7 lamps.\nF repairs 4 lamps per hour for 8 hours, totaling 32 lamps.\nThe total number of lamps repaired is 16 + 7 + 32 = 55.\n#### 55", "source": "tp_wordproblem", "tid": "f2afa70d4a", "level": "general"}
|
| 120 |
+
{"prompt": "Question: Three artisans, E, B, and H, are repairing a set of 63 historic vases. They are scheduled to work for 2 hours, but during the final hour B is on break. E can repair 4 vases per hour, B can repair 6 vases per hour, and H can repair 5 vases per hour. How many vases have been repaired by the end of the 2-hour period?\nAnswer:", "response": " E repairs 4 vases per hour for 2 hours, totaling 8 vases.\nB repairs 6 vases per hour for 1 hour, totaling 6 vases.\nH repairs 5 vases per hour for 2 hours, totaling 10 vases.\nThe total number of vases repaired is 8 + 6 + 10 = 24.\n#### 24", "source": "tp_wordproblem", "tid": "f2afa70d4a", "level": "general"}
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