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ape210k__01099539 | The fifth grade students participated in the voluntary book donation activity. Class Five 1 donated 500 books, Class Five 2 donated 80% of Class Five 1, Class Five 3 donated 120% of Class Five 2, Class Five 1 and Class Five 3 Donate more books than who? (Please compare the two methods). | 五年级同学参加义务捐书活动，五1班捐了500本，五2班捐的本数是五1班80%，五3班捐的本数是五2班120%，五1班和五3班比谁捐书多？(请用两种方法比较一下)． | <result>1</result> | 1 | 1 | x=1 | calcformer-instruct-flan-xl_step-128k | Class Five 1 donated 500 books. Class Five 2 donated 0.8 x 500 =<gadget id="calculator">0.8*500</gadget><output>400</output> 400 books. Class Five 3 donated 120% * 400 =<gadget id="calculator">120*400</gadget><output>48_000</output> 48,000. So, Class Five 1 and Class Five 3 donated more books than Class Five 2. Since the total number of books donated is equal to 1,000, then Class Five 1 and Class Five 3 donated more books than each other.<result>1</result> | Class Five 2 donated 500 x 80/100 =<gadget id="calculator">500*80/100</gadget><output>400</output> 400 books. The total number of books donated by Class Five 2 is 400 + 500 =<gadget id="calculator">400+500</gadget><output>900</output> 900 books. If the Class Five 3 donated 120% of the books donated by Class Five 2, this means they donated 900 x 120%/100 =<gadget id="calculator">900*120/100</gadget><output>1_080</output> 1080 books. The total number of books donated by the Class Five 3 students is 1080 + 400 =<gadget id="calculator">1080+400</gadget><output>1_480</output> 1480 books. So, Class Five 1 donated 1480 books and Class Five 3 donated 1080 books, which means Class Five 1 and Class Five 3 donated more books than each other.<result>1_480</result> |
ape210k__00254761 | Xiao Wang wants to dilute 150 kg of pesticides with a 20% drug content into a 5% drug solution. How many kilograms of water need to be added? | 小王要将150千克含药量20%的农药稀释成含药量5%的药水．需要加水多少千克？ | <gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">(1/5) / (1/20)</gadget>
<output>4</output>
<gadget id="calculator">150 * 4</gadget>
<output>600</output>
<gadget id="calculator">600 - 150</gadget>
<output>450</output>
<result>450</result> | 450 | 450 | x=150*20%/5%-150 | calcformer-instruct-flan-xl_step-128k | The volume of the pesticide solution is 150 * 0.2 =<gadget id="calculator">150*0.2</gadget><output>30</output> 30 kg. The volume of the diluted drug solution is 30 / 0.05 =<gadget id="calculator">30/0.05</gadget><output>600</output> 600 kg. Thus, you need to add 600 - 150 =<gadget id="calculator">600-150</gadget><output>450</output> 450 kg of water.<result>450</result> | The amount of drug in 150 kg of pesticides is 20% * 150 =<gadget id="calculator">20*.01*150</gadget><output>30</output> 30 kg. The 5% drug solution will remove 30 / 100 =<gadget id="calculator">30/100</gadget><output>3/10 = around 0.3</output> 0.3 kg of the pesticide. Thus, 150 kg - 0.3 kg =<gadget id="calculator">150-0.3</gadget><output>149.7</output> 149.7 kg of the pesticide must be removed from the mixture. Thus, 150 - 149.7 =<gadget id="calculator">150-149.7</gadget><output>0.3</output> 0.3 kg of water must be added.<result>0.3</result> |
ape210k__00465252 | A supermarket buys 5 tons of rice and sells 2,000 kilograms in 5 days. How many kilograms are left? | 一个超市购进5吨大米，5天卖出2000千克，还剩多少千克？ | <gadget id="calculator">5 * 1_000</gadget>
<output>5_000</output>
<gadget id="calculator">5_000 - 2_000</gadget>
<output>3_000</output>
<result>3_000</result> | 3_000 | 3,000 | x=(5*1000)-2000 | calcformer-instruct-flan-xl_step-128k | Five tons of rice is 5 x 1_000 =<gadget id="calculator">5*1_000</gadget><output>5_000</output> 5000 kilograms. After selling 2,000 kilograms, there will be 5000 - 2000 =<gadget id="calculator">5000-2000</gadget><output>3_000</output> 3000 kilograms left.<result>3_000</result> | Five tons of rice is 5 x 1_000 =<gadget id="calculator">5*1_000</gadget><output>5_000</output> 5000 kilograms. If the supermarket sells 2,000 kilograms in 5 days, then it sold 2,000/5 =<gadget id="calculator">2000/5</gadget><output>400</output> 400 kilograms. The amount of rice left after selling 2,000 kilograms is 5,000-400 =<gadget id="calculator">5000-400</gadget><output>4_600</output> 4600 kilograms.<result>4_600</result> |
ape210k__00387965 | Xiaohong typed 110 characters per minute. She started typing at 10:00 and ended at 10:25. How many words did she type in total? | 小红每分钟打110个字，她从10点开始打字，10点二十五分结束，共打了多少个字？ | <gadget id="calculator">110 * 25</gadget>
<output>2_750</output>
<result>2_750</result> | 2_750 | 2,750 | x=110*25 | calcformer-instruct-flan-xl_step-128k | There are 25 minutes in an hour, so Xiohong typed for 25*110=<gadget id="calculator">25*110</gadget><output>2_750</output> 2750 characters.<result>2_750</result> | The total time that Xiohong typed is 10+25 =<gadget id="calculator">10+25</gadget><output>35</output> 35 minutes. The total number of words she typed is 110*35 =<gadget id="calculator">110*35</gadget><output>3_850</output> 3850 words.<result>3_850</result> |
ape210k__01184255 | The vegetable market shipped back 1,200 kilograms of eggplants. The tomatoes shipped back were eggplant (1/3). How many kilograms are tomatoes? | 蔬菜市场运回茄子1200千克．运回的西红柿是茄子的(1/3)．西红柿有多少千克？ | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1_200 * (1/3)</gadget>
<output>400</output>
<result>400</result> | 400 | 400 | x=1200*(1/3) | calcformer-instruct-flan-xl_step-128k | If eggplant weighs 1,200 kilograms, then tomatoes weigh 1 / 3 * 1,200 =<gadget id="calculator">1/3*1200</gadget><output>400</output> 400 kilograms.<result>400</result> | The shipment included 1200 * 1/3 =<gadget id="calculator">1200*1/3</gadget><output>400</output> 400 eggplants. So, 400 eggplants * 3 =<gadget id="calculator">400*3</gadget><output>1_200</output> 1200 kilograms of tomatoes were shipped.<result>1_200</result> |
ape210k__00042841 | An electrical appliance factory originally planned to produce 4,200 refrigerators in 21 days. The actual daily production of 210 units, the actual completion of the task a few days earlier than the original plan? | 一个电器厂原计划21天生产电冰箱4200台．实际每天生产210台，实际比原计划提前几天完成任务？ | <gadget id="calculator">4_200 / 210</gadget>
<output>20</output>
<gadget id="calculator">21 - 20</gadget>
<output>1</output>
<result>1</result> | 1 | 1 | x=21-4200/210 | calcformer-instruct-flan-xl_step-128k | The total number of units to be produced is 4200 / 210 =<gadget id="calculator">4200/210</gadget><output>20</output> 20 units/day. Thus, the completion of the task can be completed in 21 - 20 =<gadget id="calculator">21-20</gadget><output>1</output> 1 day early.<result>1</result> | The factory was supposed to produce 4200 units in 21 days, but actually ended up producing the actual number of units in 21 - 21 = 10 days. The task was actually completed 10 - 21 =<gadget id="calculator">10-21</gadget><output>-11</output> 11 days earlier than the original plan.<result>11</result> |
ape210k__01090771 | shopping mall sold 19 pieces of a certain children's clothing in the morning, and 24 pieces of this kind of children's clothing in the afternoon. Earn 425 yuan more in the afternoon than in the morning. How much is each piece of children's clothing? | 某商场上午卖出某种童装19件，下午又卖出这种童装24件．下午比上午多收入425元．每件童装多少元？ | <gadget id="calculator">24 - 19</gadget>
<output>5</output>
<gadget id="calculator">425 / 5</gadget>
<output>85</output>
<result>85</result> | 85 | 85 | x=425/(24-19) | calcformer-instruct-flan-xl_step-128k | In the afternoon, the saleswoman sold 24 - 19 =<gadget id="calculator">24-19</gadget><output>5</output> 5 pieces of children's clothing. This means she earned 425 / 5 =<gadget id="calculator">425/5</gadget><output>85</output> 85 yuan per piece of children's clothing.<result>85</result> | Let X be the price per piece of children's clothing. In the afternoon, the selling price is 24*X - 19*X = 425. Combining like terms, we get 25*X = 425. Dividing both sides by 25, we get X = 825/4 = around 207.75.<result>825/4 = around 207.75</result> |
ape210k__00172010 | Comparing (1/2)*(3/4)*(5/6)*(7/8)*…*(99/100) with (1/10), what is the larger number? | (1/2)*(3/4)*(5/6)*(7/8)*…*(99/100)与(1/10)相比较，较大的哪个数是多少． | <gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<result>1/10 = around 0.1</result> | 1/10 | 0.1 | x=(1/10) | calcformer-instruct-flan-xl_step-128k | (1/10) * 10 = (1/10) * 10 = 1*1 =<gadget id="calculator">1*1</gadget><output>1</output> 1 1/10 / 1 = 1/10 1 * 10 * 1 =<gadget id="calculator">1 * 10 * 1</gadget><output>10</output> 10 1/10 / 2 = 1/5 =<gadget id="calculator">1/5</gadget><output>1/5 = around 0.2</output> 0.2 1/10 / 1 / 10 = 1/10 =<gadget id="calculator">1/10 * 1</gadget><output>1/10 = around 0.1</output> 0.1<result>1/10 = around 0.1</result> | 1/10 = 1/10. The product of the first two fractions is greater than the product of the last two fractions. Thus, 1/10 = 1*1/10.<result>1</result> |
ape210k__00254207 | On the 1:20000000 map, Xiaoli measured that the distance between Beijing and Nanjing is about 6 centimeters, and the actual distance between the two places is about how many kilometers. | 小丽在1：20000000的地图上量得北京到南京的距离约为6厘米，两地实际距离约为多少千米． | <gadget id="calculator">1 / 20_000_000</gadget>
<output>1/20_000_000 = around 0</output>
<gadget id="calculator">6 / (1/20_000_000) / 100_000</gadget>
<output>1_200</output>
<result>1_200</result> | 1_200 | 1,200 | x=6/(1/20000000)/100000 | calcformer-instruct-flan-xl_step-128k | First convert the 1:20000000 scale to kilometers: 1/20000000 =<gadget id="calculator">1/20000000</gadget><output>1/20_000_000 = around 0</output> 0 kilometers. Then divide 6 centimeters by (1/20_000_000) to find the actual distance between Beijing and Nanjing: 6 centimeters / (1/20_000_000) / 100_000 =<gadget id="calculator">6/(1/20_000_000) / 100_000</gadget><output>1_200</output> 1200 kilometers.<result>1_200</result> | If 1/200000000 is equal to 6/1000000, then 1/20000000 is equal to 6/(20000000*100) = 6/200000000. Since 1 km is equal to 100 km, then 6/200000000 = 60/200000000 =<gadget id="calculator">60/200000000</gadget><output>3/10_000_000 = around 0</output> 0.000003.<result>3/10_000_000 = around 0</result> |
ape210k__00757153 | Measure a rectangular vegetable field with a length of 15 cm and a width of 8 cm on a map with a scale of 1:1000. What is the actual area of the field in square meters? | 在比例尺为1：1000的图上量得一块长方形的菜地长15厘米，宽为8厘米，求这块地的实际面积是多少平方米？ | <gadget id="calculator">1 / 1_000</gadget>
<output>1/1_000 = around 0.001</output>
<gadget id="calculator">15 / (1/1_000) / 100</gadget>
<output>150</output>
<gadget id="calculator">8 / (1/1_000) / 100</gadget>
<output>80</output>
<gadget id="calculator">150 * 80</gadget>
<output>12_000</output>
<result>12_000</result> | 12_000 | 12,000 | x=15/(1/1000)/100*8/(1/1000)/100 | calcformer-instruct-flan-xl_step-128k | The field measures 15cm x 8cm =<gadget id="calculator">15*8</gadget><output>120</output> 120 cm2. At a scale of 1:100, the field is represented as 120 x 100 =<gadget id="calculator">120*100</gadget><output>12_000</output> 12000 square meters.<result>12_000</result> | The area of the field is 15 / (1/1_000) - 1 = 15000 / 100 =<gadget id="calculator">15000/100</gadget><output>150</output> 150 cm2. The area of the field is 8 / (1/1_000) - 1 = 8000 / 100 =<gadget id="calculator">8000/100</gadget><output>80</output> 80 cm2. The area of the field is 80 x 80 cm2 =<gadget id="calculator">80*80</gadget><output>6_400</output> 6400 square meters.<result>6_400</result> |
ape210k__00133813 | A piece of parallelogram land has a base of 200 meters and a height of 48 meters. What is its area in hectares? | 一块平行四边形土地，底是200米，高是48米，它的面积是多少公顷． | <gadget id="calculator">200 * 48</gadget>
<output>9_600</output>
<gadget id="calculator">9_600 / 10_000</gadget>
<output>24/25 = around 0.96</output>
<result>24/25 = around 0.96</result> | 24/25 | 0.96 | (200*48)/10000 | calcformer-instruct-flan-xl_step-128k | The area of the parallelogram land is 200 x 48 =<gadget id="calculator">200*48</gadget><output>9_600</output> 9600 square meters. Since 1 hectare is equal to 10000 meters, then the land area is 9600/10000 =<gadget id="calculator">9600/10000</gadget><output>24/25 = around 0.96</output> 0.96.<result>24/25 = around 0.96</result> | The area of the parallelogram land is 200 x 48 =<gadget id="calculator">200*48</gadget><output>9_600</output> 9600 sq m. Since 1 hectare is equal to 10000 sq m, then the area is 9600/ 10000 =<gadget id="calculator">9600/100</gadget><output>96</output> 96 sq m.<result>96</result> |
ape210k__01159375 | A and B start from two places A and B that are 180km apart. A rides a bicycle and B rides a motorcycle. They go towards each other along a road along the river. A's speed is 15 km/h, while B's speed is 45 km / hour, if A first drives for 2 hours before B starts, how long will it take for the two to meet? | 甲、乙两人从相距180km的A、B两地出发，甲骑自行车，乙骑摩托车，沿河一条路相向而行，甲的速度是15千米/时，乙的速度是45千米/时，如果甲先行驶2小时后乙才出发，再过多少时间两人相遇？ | <gadget id="calculator">15 * 2</gadget>
<output>30</output>
<gadget id="calculator">180 - 30</gadget>
<output>150</output>
<gadget id="calculator">15 + 45</gadget>
<output>60</output>
<gadget id="calculator">150 / 60</gadget>
<output>5/2 = around 2.5</output>
<result>5/2 = around 2.5</result> | 5/2 | 2.5 | x=(180-15*2)/(15+45) | calcformer-instruct-flan-xl_step-128k | In the two hours before B starts, A covers 15 km/hour * 2 hours =<gadget id="calculator">15*2</gadget><output>30</output> 30 km. So the total distance remaining is 180 km - 30 km =<gadget id="calculator">180-30</gadget><output>150</output> 150 km. Together A and B have a speed of 15 km/hour + 45 km/hour =<gadget id="calculator">15+45</gadget><output>60</output> 60 km/hour. To cover 150 km, it will take them 150 km / 60 km/hour =<gadget id="calculator">150/60</gadget><output>5/2 = around 2.5</output> 2.5 hours.<result>5/2 = around 2.5</result> | A has already covered 15 km in 2 hours, so there are 180 - 15 =<gadget id="calculator">180-15</gadget><output>165</output> 165 km left for A to meet. A's speed is 15 km/ hour and that of B is 45 km/hour so their combined speed is 15 + 45 =<gadget id="calculator">15+45</gadget><output>60</output> 60 km/hour. It will take them 180/60 km/hour i.e. 3 hours to meet.<result>3</result> |
ape210k__00324527 | 48 boxes of a batch of parts pass the inspection and 2 boxes fail. What is the pass rate? | 一批零件经检验合格48箱，不合格2箱，合格率是多少． | <gadget id="calculator">48 + 2</gadget>
<output>50</output>
<gadget id="calculator">48 / 50</gadget>
<output>24/25 = around 0.96</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">(24/25) * 1</gadget>
<output>24/25 = around 0.96</output>
<result>24/25 = around 0.96</result> | 24/25 | 0.96 | x=(48/(48+2))*100% | calcformer-instruct-flan-xl_step-128k | 48+2=<gadget id="calculator">48+2</gadget><output>50</output> 50 boxes. 48/50 =<gadget id="calculator">48/50</gadget><output>24/25 = around 0.96</output> 0.96. The pass rate is 96/100 =<gadget id="calculator">96/100</gadget><output>24/25 = around 0.96</output> 0.96.<result>24/25 = around 0.96</result> | 48+2=<gadget id="calculator">48+2</gadget><output>50</output> 50 boxes pass the inspection. So, 48/50 x 100% = 98% The pass rate is 98%.<result>98</result> |
ape210k__00589085 | The weight of an apple is 800 kg, and the weight ratio of apples to pears is 4:3. How many kilograms of fruit are shipped in total? | 苹果的重量是800千克，苹果与梨的重量比是4：3．共运进水果多少千克？ | <gadget id="calculator">4 + 3</gadget>
<output>7</output>
<gadget id="calculator">4 / 7</gadget>
<output>4/7 = around 0.571429</output>
<gadget id="calculator">800 / (4/7)</gadget>
<output>1_400</output>
<result>1_400</result> | 1_400 | 1,400 | x=800/(4/(4+3)) | calcformer-instruct-flan-xl_step-128k | The weight of pears is 3 apples / 4 apples =<gadget id="calculator">3/4</gadget><output>3/4 = around 0.75</output> 0.75 pears. The weight of pears is 0.75 pears * 800 kg =<gadget id="calculator">0.75*800</gadget><output>600</output> 600 kg. In total 600 kg + 800 kg =<gadget id="calculator">600+800</gadget><output>1_400</output> 1400 kg of fruit are shipped.<result>1_400</result> | The weight of pears is 3 / 4 apples = 3/4 apples. Since 800 kg is one apple, then 800 * 4 =<gadget id="calculator">800*4</gadget><output>3_200</output> 3200 kg apples are shipped. In total, the weight of the apples and pears is 3200 kg + 800 kg =<gadget id="calculator">3200+800</gadget><output>4_000</output> 4000 kg.<result>4_000</result> |
ape210k__00753011 | Plant radishes in a triangular vegetable field with a base length of 18 meters and a height of 6 meters. If 12 kilograms of radishes are harvested per square meter, how many kilograms of radishes can be harvested in this field? | 在一块底边长18米，高6米的三角形菜地里种萝卜．如果每平方米收萝卜12千克，这块地可收萝卜多少千克？ | <gadget id="calculator">6 / 2</gadget>
<output>3</output>
<gadget id="calculator">18 * 3 * 12</gadget>
<output>648</output>
<result>648</result> | 648 | 648 | x=18*6/2*12 | calcformer-instruct-flan-xl_step-128k | The area of the field is a square with side length 18 m and height 6 m =<gadget id="calculator">18*6</gadget><output>108</output> 108 m2. So it has an area of 108/2 =<gadget id="calculator">108/2</gadget><output>54</output> 54 square meters. If 12 kg of radishes are harvested per square meter, then a total of 54*12 =<gadget id="calculator">54*12</gadget><output>648</output> 648 kg can be harvested in the field.<result>648</result> | The area of a triangle with a base of 18 m and height of 6 m is a square with a side of 6m - 6m =<gadget id="calculator">6-6</gadget><output>0</output> 0 area. If the kilograms of radishes harvested per m2 are harvested, then a field with a total area of 18 x 0 =<gadget id="calculator">18*0</gadget><output>0</output> 0 square meters can be harvested. The area of the field where 12 kilograms of radishes can be harvested in total is 0 x 12 =<gadget id="calculator">0*12</gadget><output>0</output> 0 square meters.<result>0</result> |
ape210k__01218321 | The sailfish is the champion of swimming in the ocean. It can swim 270 kilometers in 3 hours. The dolphin is also an expert swimmer. It can swim 120 kilometers in 2 hours. How much faster is the average speed of a sailfish than a dolphin? | 旗鱼是海洋中的游泳冠军，它3小时能游270千米，海豚也是游泳能手，它2小时能游120千米，旗鱼的平均速度比海豚快多少？ | <gadget id="calculator">270 / 3</gadget>
<output>90</output>
<gadget id="calculator">120 / 2</gadget>
<output>60</output>
<gadget id="calculator">90 - 60</gadget>
<output>30</output>
<result>30</result> | 30 | 30 | x=270/3-120/2 | calcformer-instruct-flan-xl_step-128k | The sailfish's total speed is 270/3=<gadget id="calculator">270/3</gadget><output>90</output> 90 kilometers per hour. The dolphin's total speed is 120/2=<gadget id="calculator">120/2</gadget><output>60</output> 60 kilometers per hour. So, the sailfish is 90-60=<gadget id="calculator">90-60</gadget><output>30</output> 30 kilometers per hour faster than a dolphin.<result>30</result> | The dolphin can swim 120/2 =<gadget id="calculator">120/2</gadget><output>60</output> 60 kilometers per hour. The sailfish swims 270/3 =<gadget id="calculator">270/3</gadget><output>90</output> 90 kilometers per hour. Therefore, the sailfish is 90 kilometers per hour faster than a dolphin.<result>90</result> |
ape210k__00627361 | The toy workshop plans to complete the processing task of a batch of toys in three weeks. In the first week (2/7) of this batch of toys was produced, and in the second week the same amount was produced as in the first week. To complete the task on time, the third week must What fraction of this batch of toys is produced? | 玩具车间计划三周完成一批玩具的加工任务，第一周生产了这批玩具的(2/7)，第二周生产的与第一周同样多，要想按时完成任务，第三周要生产这批玩具的几分之几？ | <gadget id="calculator">2 / 7</gadget>
<output>2/7 = around 0.285714</output>
<gadget id="calculator">1 - (2/7) - (2/7)</gadget>
<output>3/7 = around 0.428571</output>
<result>3/7 = around 0.428571</result> | 3/7 | 0.428571 | x=1-(2/7)-(2/7) | calcformer-instruct-flan-xl_step-128k | In the first two weeks, the workshop produces 2/7 + 2/7 = 4/7 of the toys. To complete the task on time, the third week must produce 7/7 - 4/7 = 3/7 of the toys.<result>3/7 = around 0.428571</result> | In the first two weeks, 2/7 + (2/7) = 5/7 toys were produced. To complete the task on time, the third week must produce 5/7 - 5/7 = 5/14 of the toys.<result>5/7 = around 0.714286</result> |
ape210k__00899293 | Take a rectangle with a length of 16 cm and a width of 12 cm and cut out the largest square. What is the perimeter of the largest square cut out? | 把一张长16厘米，宽12厘米的长方形，剪下一个最大的正方形后，剪下的最大正方形的周长是多少． | <gadget id="calculator">12 * 4</gadget>
<output>48</output>
<result>48</result> | 48 | 48 | x=12*4 | calcformer-instruct-flan-xl_step-128k | The largest square cut out is 12 x 4 =<gadget id="calculator">12*4</gadget><output>48</output> 48 cm. So the perimeter of the largest square cut out is 48 cm =<gadget id="calculator">48</gadget><output>48</output> 48 cm.<result>48</result> | The largest square with a side of 12 cm is 12*12=<gadget id="calculator">12*12</gadget><output>144</output> 144 cm.<result>144</result> |
ape210k__01097409 | Grandpa is 62 years old this year, and Dongdong is 8 years old this year. How many times will Grandpa's age be Dongdong next year? | 爷爷今年62岁，东东今年8岁，明年爷爷的年龄是东东的几倍？ | <gadget id="calculator">62 + 1</gadget>
<output>63</output>
<gadget id="calculator">8 + 1</gadget>
<output>9</output>
<gadget id="calculator">63 / 9</gadget>
<output>7</output>
<result>7</result> | 7 | 7 | x=(62+1)/(8+1) | calcformer-instruct-flan-xl_step-128k | After one year, Dongdong will be 8+1 =<gadget id="calculator">8+1</gadget><output>9</output> 9 years old. Therefore, Grandpa's age will be 62+1 =<gadget id="calculator">62+1</gadget><output>63</output> 63 years old. Therefore, Dongdong's age will be 63/9 =<gadget id="calculator">63/9</gadget><output>7</output> 7 times the age of Grandpa next year.<result>7</result> | If Grandpa is 62 years old this year, and Dongdong is 8 years old this year, they have a difference of 62 - 8 =<gadget id="calculator">62-8</gadget><output>54</output> 54 years. After one year, the difference between their ages will be 54 + 1 =<gadget id="calculator">54+1</gadget><output>55</output> 55 years. Therefore, Dongdong will be 55 years old / 8 years old =<gadget id="calculator">55/8</gadget><output>55/8 = around 6.875</output> 6.875 times.<result>55/8 = around 6.875</result> |
ape210k__00152242 | There are a total of 20 pieces of 5 yuan and 10 yuan yuan, and the total is 175 yuan. How many pieces of 5 yuan yuan are there? | 有5元和10元的人民币共20张，一共是175元，5元的人民币有多少张． | <gadget id="calculator">10 * 20</gadget>
<output>200</output>
<gadget id="calculator">200 - 175</gadget>
<output>25</output>
<gadget id="calculator">10 - 5</gadget>
<output>5</output>
<gadget id="calculator">25 / 5</gadget>
<output>5</output>
<result>5</result> | 5 | 5 | x=(10*20-175)/(10-5) | calcformer-instruct-flan-xl_step-128k | We know that the total of pieces of 5 yuan yuan and 10 yuan yuan is 20 so 20 * 10 =<gadget id="calculator">20*10</gadget><output>200</output> 200. This means the difference between 175 and 200 is 175-200 =<gadget id="calculator">175-200</gadget><output>-25</output> 25. This means that the number of pieces of 5 yuan yuan is 25-20 =<gadget id="calculator">25-20</gadget><output>5</output> 5.<result>5</result> | Let X = the number of pieces of 5 yuan yuan. And the number of pieces of 10 yuan yuan be 20 - X. Thus, 10(20 - X) + 5(20 - X) = 175 => 10X + 200 - 5X = 175 => 5X = 175 - 100 =<gadget id="calculator">175-100</gadget><output>75</output> 75. Therefore, the number of 5 yuan yuan pieces is 75/20 =<gadget id="calculator">75/20</gadget><output>15/4 = around 3.75</output> 3.75.<result>15/4 = around 3.75</result> |
ape210k__00524484 | The gymnasium bought a batch of small balls, 3 3s, 4 4s, 5 5s were distributed exactly every time, and there was nothing left. How many balls are there at least in this batch? | 体育室买来一批小皮球，3个3个、4个4个、5个5个的分每次都正好分完，没有剩余．这批皮球至少有几个？ | <gadget id="calculator">3 * 4 * 5</gadget>
<output>60</output>
<result>60</result> | 60 | 60 | x=3*4*5 | calcformer-instruct-flan-xl_step-128k | 3 * 4 * 5 =<gadget id="calculator">3 * 4 * 5</gadget><output>60</output> 60.<result>60</result> | The difference between the sums of three digits and the sums of four digits is always divisible by three, so the sum is divisible by 3. For example, the sums of the three digits sum to 18 and the sums of the four digits sum to 24. So if you add up all the numbers, you will get a sum of 18, 24, and 36.<result>18</result> |
ape210k__00996367 | A car travels 420 kilometers from 8 am to 3 pm. What is the speed of the car? | 一辆汽车从上午8时到下午3时共行驶420千米，这辆汽车的速度是多少？ | <gadget id="calculator">12 - 8</gadget>
<output>4</output>
<gadget id="calculator">4 + 3</gadget>
<output>7</output>
<gadget id="calculator">420 / 7</gadget>
<output>60</output>
<result>60</result> | 60 | 60 | x=420/(12-8+3) | calcformer-instruct-flan-xl_step-128k | From 8 am to 3 pm, the car travels 420 km / 7 =<gadget id="calculator">420/7</gadget><output>60</output> 60 km/hour.<result>60</result> | There are 7 hours in a day, so from 8 am to 3 pm, the car travels 7*12 =<gadget id="calculator">7*12</gadget><output>84</output> 84 kilometers. So the speed of the car is 420/84 =<gadget id="calculator">420/84</gadget><output>5</output> 5 kilometers per minute.<result>5</result> |
ape210k__00639997 | Uncle Wang surrounded a rectangular vegetable field with a fence against the wall. The length of this vegetable field is 7 meters and the width is 5 meters. What is the minimum length of fence required to enclose this vegetable field? | 王大爷用篱笆靠墙围一块长方形菜地．这块菜地的长7米，宽5米，围成这块菜地至少需要多少米长的篱笆？ | <gadget id="calculator">5 * 2</gadget>
<output>10</output>
<gadget id="calculator">7 + 10</gadget>
<output>17</output>
<result>17</result> | 17 | 17 | x=7+5*2 | calcformer-instruct-flan-xl_step-128k | To make a fence around the field, Uncle Wang needs to take the length of the adjacent sides, which are 5 + 5 =<gadget id="calculator">5+5</gadget><output>10</output> 10 meters. Since the length of this vegetable field is 7, the minimum length of the fence required to enclose this vegetable field is 7 + 10 =<gadget id="calculator">7+10</gadget><output>17</output> 17 meters.<result>17</result> | To make a fence around this area, we need to add the length of the adjacent sides, which in this case is 5 + 7 =<gadget id="calculator">5+7</gadget><output>12</output> 12 meters. Since the length of the adjacent sides are the same, this means that 12 meters would be added to both sides of the rectangular vegetable field, making the total length of the fence 12 + 7 =<gadget id="calculator">12+7</gadget><output>19</output> 19 meters.<result>19</result> |
ape210k__00428518 | In division, the dividend is expanded to 10 times the original, the divisor is reduced to the original (1/10), how many times the quotient is expanded | 在除法里，被除数扩大到原来的10倍，除数缩小到原来的(1/10)，商扩大多少倍 | <gadget id="calculator">10 / 1</gadget>
<output>10</output>
<gadget id="calculator">10 * 10</gadget>
<output>100</output>
<result>100</result> | 100 | 100 | x=(10/1)*(10/1) | calcformer-instruct-flan-xl_step-128k | 10 / 1 =<gadget id="calculator">10 / 1</gadget><output>10</output> 10 / 10=<gadget id="calculator">10 / 10</gadget><output>1</output> 1 Expanded for the same reason 10 x 10 = 100 times.<result>100</result> | 10/10 * 10/1 = 100/1=<gadget id="calculator">100/1</gadget><output>100</output> 100. Thus, the result are 100*10=<gadget id="calculator">100*10</gadget><output>1_000</output> 1000.<result>1_000</result> |
ape210k__01135909 | Yangxi shopping mall bought 34 boxes of children's toothpaste, 25 boxes per box, and each box sold for 4 yuan. How much can these children's toothpaste be sold in total? | 阳西商场购进34箱儿童牙膏，每箱25盒，每盒卖4元．这些儿童牙膏一共可卖多少元？ | <gadget id="calculator">34 * 25</gadget>
<output>850</output>
<gadget id="calculator">4 * 850</gadget>
<output>3_400</output>
<result>3_400</result> | 3_400 | 3,400 | x=4*(34*25) | calcformer-instruct-flan-xl_step-128k | There are 34 x 25 =<gadget id="calculator">34*25</gadget><output>850</output> 850 boxes in total. So, the total amount of money that will be collected is 850 x 4 =<gadget id="calculator">850*4</gadget><output>3_400</output> 3400 yuan.<result>3_400</result> | If there are 25 boxes per box, then there are 34 boxes x 25 boxes/box =<gadget id="calculator">25*34</gadget><output>850</output> 850 boxes. Since each box is sold for 4 yuan, then these 850 boxes will be sold for 850 x 4 =<gadget id="calculator">850-400</gadget><output>450</output> 450 yuan.<result>450</result> |
ape210k__00551508 | Roll a rectangular piece of paper with a length of 6 decimeters and a width of 3 decimeters into a cylinder, and put the cylinder upright on the table, what is its maximum volume in cubic decimeters? (π takes 3) | 把一张长6分米，宽3分米的长方形纸片卷成一个圆柱，并把这个圆柱直立在桌面上，它的最大体积是多少立方分米．(π取3) | <gadget id="calculator">6 / 3 / 2</gadget>
<output>1</output>
<gadget id="calculator">1 ** 2</gadget>
<output>1</output>
<gadget id="calculator">3 * 1 * 3</gadget>
<output>9</output>
<result>9</result> | 9 | 9 | x=3*(6/3/2)**2*3 | calcformer-instruct-flan-xl_step-128k | The paper is about 6/6 cylinder. The height is the same, so it is a square. The area is the square root of the square root of 6, which is 3 sq. centimeters. volume = 3 sq. centimeters x sq. centimeters = 9 sq. centimeters.<result>9</result> | The paper has a length of 6 and width of 3, so the cylinder has a diameter of 6. Cylinder height is 3/2 =<gadget id="calculator">3/2</gadget><output>3/2 = around 1.5</output> 1.5, radius is 1.5/2=<gadget id="calculator">1.5/2</gadget><output>0.75</output> 0.75, and volume is 3 cubic decimeters.<result>3</result> |
ape210k__00811109 | Wang Fang participated in the TV quiz contest. She got 8 points for each correct answer and 4 points for each wrong answer. Wang Fang answered 20 questions and got 100 points. How many questions did she answer correctly? | 王芳参加电视抢答赛，每答对一题得8分，答错一题扣4分，王芳抢答了20道题，得了100分，她答对了几题？ | <gadget id="calculator">20 * 8</gadget>
<output>160</output>
<gadget id="calculator">160 - 100</gadget>
<output>60</output>
<gadget id="calculator">8 + 4</gadget>
<output>12</output>
<gadget id="calculator">60 / 12</gadget>
<output>5</output>
<gadget id="calculator">20 - 5</gadget>
<output>15</output>
<result>15</result> | 15 | 15 | x=20-((20*8-100)/(8+4)) | calcformer-instruct-flan-xl_step-128k | For all the questions Wang Fang answered, she got 20 * 8 =<gadget id="calculator">20*8</gadget><output>160</output> 160 points. Hence, she only got 160 - 100 =<gadget id="calculator">160-100</gadget><output>60</output> 60 points for correct answers. Therefore she answered 60 / 4 =<gadget id="calculator">60/4</gadget><output>15</output> 15 questions correctly.<result>15</result> | Let X be the number of correct answers and (20-X) be the number of wrong answers. 8x + 4(20-X) = 100 8x + 80 - 4x = 100 4x = 80 x =<gadget id="calculator">20</gadget><output>20</output> 20.<result>20</result> |
ape210k__00580192 | Xiaoqiao’s cloakroom is exactly a square with a side length of 3m. Xiaoqiao’s parents’ bedroom is four times the size of the cloakroom. How big is Xiaoqiao’s parents’ bedroom? | 小巧家的衣帽间正好是边长为3m的正方形，小巧父母的卧房是衣帽间面积的4倍，小巧父母的卧房面积有多大？ | <gadget id="calculator">3 * 3 * 4</gadget>
<output>36</output>
<result>36</result> | 36 | 36 | x=3*3*4 | calcformer-instruct-flan-xl_step-128k | 3 x 3 =<gadget id="calculator">3*3</gadget><output>9</output> 9 sq m. Xiaoqiao's parents' bedroom is 4 x 9 sq m =<gadget id="calculator">4*9</gadget><output>36</output> 36 sq m.<result>36</result> | 3m x 3m =<gadget id="calculator">3*3</gadget><output>9</output> 9 m2 9 x 4 =<gadget id="calculator">9*4</gadget><output>36</output> 36 m2. Xiaoqiao's parents' bedroom is 36 x 4 =<gadget id="calculator">36*4</gadget><output>144</output> 144 sq m.<result>144</result> |
ape210k__00052837 | Li Hua's average step length is 0.56 meters. The perimeter of a rectangular vegetable field is 125 steps. If the length of the vegetable field is 20 meters, how many meters is the width? | 李华的平均步长是0.56米，步测一块长方形菜地的周长共125步，如果菜地长是20米，宽是多少米 | <gadget id="calculator">0.56 / 2</gadget>
<output>0.28</output>
<gadget id="calculator">125 * 0.28</gadget>
<output>35</output>
<gadget id="calculator">35 - 20</gadget>
<output>15</output>
<result>15</result> | 15 | 15 | x=125*0.56/2-20 | calcformer-instruct-flan-xl_step-128k | If the perimeter of the rectangular vegetable field was calculated by finding the area, the length and the width, it can be found as 125 steps * 0.56 meters/step =<gadget id="calculator">125*0.56</gadget><output>70</output> 70 meters. Since the perimeter is equal to 70 meters, then the length is 70 meters / 2 =<gadget id="calculator">70/2</gadget><output>35</output> 35 meters. If the length of the field is 20 meters, the width is 35 meters - 20 meters =<gadget id="calculator">35-20</gadget><output>15</output> 15 meters.<result>15</result> | The perimeter of the field is 125 steps * 0.56 meters/step =<gadget id="calculator">125*0.56</gadget><output>70</output> 70 meters. Subtracting the perimeter from the length gives 70 meters - 20 meters =<gadget id="calculator">70-20</gadget><output>50</output> 50 meters. The width of the vegetable field is 50 meters / 2 =<gadget id="calculator">50/2</gadget><output>25</output> 25 meters.<result>25</result> |
ape210k__00331774 | My mother is 40 years old this year, which is four times that of Xiaofang. How old is Xiaofang this year? | 妈妈今年40岁，是小芳的4倍，小芳今年多少岁． | <gadget id="calculator">40 / 4</gadget>
<output>10</output>
<result>10</result> | 10 | 10 | x=40/4 | calcformer-instruct-flan-xl_step-128k | If mom's age is 40, then xiaofang's age is 40/4=<gadget id="calculator">40/4</gadget><output>10</output> 10 years old this year.<result>10</result> | Let xiaofang be y. The equation for the age of xiaofang is 4x + y = 40. Combining like terms, we get 5x = 40. Dividing both sides by 5, we get xiaofang =<gadget id="calculator">8</gadget><output>8</output> 8.<result>8</result> |
ape210k__00265596 | In order to protect the environment, students in a certain elementary school recycle used batteries and plan to complete the task in 25 days. On average, they recycle 800 tablets per day, but they actually finish it 5 days ahead of schedule. How many tablets of used batteries are recycled on average per day? | 某小学的学生为了保护环境，回收废旧电池，计划25天完成任务，平均每天回收800粒，实际提前5天完成，实际平均每天回收废旧电池多少粒？ | <gadget id="calculator">25 - 5</gadget>
<output>20</output>
<gadget id="calculator">25 / 20</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calculator">800 * (5/4)</gadget>
<output>1_000</output>
<result>1_000</result> | 1_000 | 1,000 | x=800*25/(25-5) | calcformer-instruct-flan-xl_step-128k | They had planned to do the job in 25 * 800 =<gadget id="calculator">25*800</gadget><output>20_000</output> 20000 tablets. They actually finished the job in 25 - 5 =<gadget id="calculator">25-5</gadget><output>20</output> 20 days. So they recycled 20000 / 20 =<gadget id="calculator">20000/20</gadget><output>1_000</output> 1000 tablets per day.<result>1_000</result> | They were supposed to do it in 25 days, so they did it in 25 - 5 =<gadget id="calculator">25-5</gadget><output>20</output> 20 days. So they recycled 800 / 20 =<gadget id="calculator">800/20</gadget><output>40</output> 40 tablets per day.<result>40</result> |
ape210k__00385426 | Glue two strips of equal length together to form a longer strip. The length of this longer piece of paper is 30 cm, and the overlapping part in the middle is 6 cm. What is the length of each of the original two pieces of paper? | 把两段一样长的纸条粘合在一起，形成一段更长的纸条．这段更长的纸条长30厘米，中间重叠部分是6厘米，原来两段纸条各长多少厘米． | <gadget id="calculator">30 + 6</gadget>
<output>36</output>
<gadget id="calculator">36 / 2</gadget>
<output>18</output>
<result>18</result> | 18 | 18 | x=(30+6)/2 | calcformer-instruct-flan-xl_step-128k | The longer piece of paper covers 30 cm in length + 6 cm =<gadget id="calculator">30+6</gadget><output>36</output> 36 cm of the original strips. So, each original strip was 36 cm / 2 =<gadget id="calculator">36/2</gadget><output>18</output> 18 cm.<result>18</result> | Let x be the length of each of the original two pieces of paper. Thus, the sum of the lengths of the original two pieces of paper is 30 + x =<gadget id="calculator">30+x</gadget><output>ERROR: Cannot convert expression to float</output> ERR. So, 30 + (ERROR) = 30 + x. Thus, 2x = 30 + (X -6) 2x - 18 = 30 2x = 54. Thus, x =<gadget id="calculator">54</gadget><output>54</output> 54.<result>54</result> |
ape210k__00764675 | It takes 8 hours for a passenger car to drive from Wuping to Fuzhou, and 10 hours for a truck to drive from Fuzhou to Wuping. The two cars leave from Wuping and Fuzhou at the same time, and drive towards each other. How long can they meet each other? | 一辆客车从武平开往福州要8小时，货车从福州开往武平要10小时，两车同时从武平、福州两城开出，相向而行，几小时可以相遇？ | <gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">(1/8) + (1/10)</gadget>
<output>9/40 = around 0.225</output>
<gadget id="calculator">1 / (9/40)</gadget>
<output>40/9 = around 4.444444</output>
<result>40/9 = around 4.444444</result> | 40/9 | 4.444444 | x=1/((1/8)+(1/10)) | calcformer-instruct-flan-xl_step-128k | The combined speed of the car and truck is 1/8 + 1/10 = 9/40. They will meet each other in 40/9 =<gadget id="calculator">40/9</gadget><output>40/9 = around 4.444444</output> 4 hours.<result>40/9</result> | The distance the car can cover in one hour is 1/8 * 128 =<gadget id="calculator">128*1/8</gadget><output>16</output> 16 km. The truck can cover the same distance in 10 * 1 =<gadget id="calculator">10*1</gadget><output>10</output> 10 hours. The two cars can meet each other in 16 + 10 =<gadget id="calculator">16+10</gadget><output>26</output> 26 hours.<result>26</result> |
ape210k__00437148 | There is a barrel of oil weighing 17 catties, and the barrel weighs 1 catty. After half of the oil is used up, how many catties of oil are left? | 有一桶油连桶称重17斤，油桶重1斤，用去一半油后还剩几斤油？ | <gadget id="calculator">17 - 1</gadget>
<output>16</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 - (1/2)</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">16 * (1/2)</gadget>
<output>8</output>
<result>8</result> | 8 | 8 | x=(17-1)*(1-(1/2)) | calcformer-instruct-flan-xl_step-128k | First subtract the barrel's weight of 1 catty from the barrel's weight: 17 - 1 =<gadget id="calculator">17-1</gadget><output>16</output> 16. Then divide the amount of oil left in the barrel by 2: 16 / 2 =<gadget id="calculator">16/2</gadget><output>8</output> 8 catties.<result>8</result> | Let x be the number of catties of oil left after half of the oil is used up. Therefore, 17 - x = 1/2 x 17 =<gadget id="calculator">17-1/2*17</gadget><output>17/2 = around 8.5</output> 8.50.<result>17</result> |
ape210k__00582629 | In the activity of striving to be a small guard of environmental protection, Class 4 and Class 1 collected 30.6 kg of waste paper, which was 5.8 kg more than Class 4 and Class 2. How many kilograms of waste paper did the two classes collect in total? | 在争当环保小卫士活动中，四1班收集了30.6千克废纸，比四2班多收集了5.8千克．两个班一共收集废纸多少千克？ | <gadget id="calculator">30.6 - 5.8</gadget>
<output>24.8</output>
<gadget id="calculator">30.6 + 24.8</gadget>
<output>55.4</output>
<result>55.4</result> | 55.4 | 55.4 | x=30.6+(30.6-5.8) | calcformer-instruct-flan-xl_step-128k | Class 4 and Class 1 collected 30.6 kg - 5.8 kg =<gadget id="calculator">30.6-5.8</gadget><output>24.8</output> 24.8 kg. Combined, Class 4 and Class 1 and Class 4 and Class 2 collected 24.8 + 30.6 =<gadget id="calculator">24.8+30.6</gadget><output>55.4</output> 55.4 kg of waste paper.<result>55.4</result> | Class 4 and Class 1 collected 30.6 kg - 5.8 kg =<gadget id="calculator">30.6-5.8</gadget><output>24.8</output> 24.8 kg. So, Class 4 and Class 1 collected 24.8 + 30.6 =<gadget id="calculator">24.8+30.6</gadget><output>55.4</output> 55.4 kg of waste paper. Combined, then, the two classes collected 55.4 kg + 30.6 kg =<gadget id="calculator">55.4+30.6</gadget><output>86</output> 86 kg of waste paper.<result>86</result> |
ape210k__00008614 | Xiaofeng has 48 stamps, 5 less than Xiaohua, how many stamps does Xiaohua have. | 晓峰有邮票48张比小华少5张，小华有邮票多少张． | <gadget id="calculator">48 + 5</gadget>
<output>53</output>
<result>53</result> | 53 | 53 | x=48+5 | calcformer-instruct-flan-xl_step-128k | The number of stamps that Xiaofeng has is 48+5=<gadget id="calculator">48+5</gadget><output>53</output> 53. Xiaofeng has 53 stamps.<result>53</result> | If there are 48 stamps, then Xiaofeng has 48+5=45 stamps.<result>45</result> |
ape210k__00259952 | Calculation: (4/(1*3))-(8/(3*5))+(12/(5*7))-(16/(7*9))+(20/(9*11) )-(24/(11*13)). | 计算：(4/(1*3))-(8/(3*5))+(12/(5*7))-(16/(7*9))+(20/(9*11))-(24/(11*13))． | <gadget id="calculator">1 * 3</gadget>
<output>3</output>
<gadget id="calculator">4 / 3</gadget>
<output>4/3 = around 1.333333</output>
<gadget id="calculator">3 * 5</gadget>
<output>15</output>
<gadget id="calculator">8 / 15</gadget>
<output>8/15 = around 0.533333</output>
<gadget id="calculator">(4/3) - (8/15)</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">5 * 7</gadget>
<output>35</output>
<gadget id="calculator">12 / 35</gadget>
<output>12/35 = around 0.342857</output>
<gadget id="calculator">7 * 9</gadget>
<output>63</output>
<gadget id="calculator">16 / 63</gadget>
<output>16/63 = around 0.253968</output>
<gadget id="calculator">(12/35) - (16/63)</gadget>
<output>4/45 = around 0.088889</output>
<gadget id="calculator">9 * 11</gadget>
<output>99</output>
<gadget id="calculator">20 / 99</gadget>
<output>20/99 = around 0.20202</output>
<gadget id="calculator">11 * 13</gadget>
<output>143</output>
<gadget id="calculator">24 / 143</gadget>
<output>24/143 = around 0.167832</output>
<gadget id="calculator">(20/99) - (24/143)</gadget>
<output>4/117 = around 0.034188</output>
<gadget id="calculator">(4/5) + (4/45) + (4/117)</gadget>
<output>12/13 = around 0.923077</output>
<result>12/13 = around 0.923077</result> | 12/13 | 0.923077 | x=(4/(1*3))-(8/(3*5))+(12/(5*7))-(16/(7*9))+(20/(9*11))-(24/(11*13)) | calcformer-instruct-flan-xl_step-128k | <gadget id="calculator">1 * 3</gadget><output>3</output><gadget id="calculator">4 / 3</gadget><output>4/3 = around 1.333333</output><gadget id="calculator">3 * 5</gadget><output>15</output><gadget id="calculator">8 / 15</gadget><output>8/15 = around 0.533333</output><gadget id="calculator">(4/3) - (8/15)</gadget><output>4/5 = around 0.8</output><gadget id="calculator">5 * 7</gadget><output>35</output><gadget id="calculator">12 / 35</gadget><output>12/35 = around 0.342857</output><gadget id="calculator">7 * 9</gadget><output>63</output><gadget id="calculator">16 / 63</gadget><output>16/63 = around 0.253968</output><gadget id="calculator">(12/35) - (16/63)</gadget><output>4/45 = around 0.088889</output><gadget id="calculator">9 * 11</gadget><output>99</output><gadget id="calculator">20 / 99</gadget><output>20/99 = around 0.20202</output><gadget id="calculator">11 * 13</gadget><output>143</output><gadget id="calculator">24 / 143</gadget><output>24/143 = around 0.167832</output><gadget id="calculator">(20/99) - (24/143)</gadget><output>4/117 = around 0.034188</output><gadget id="calculator">(4/5) + (4/45) + (4/117)</gadget><output>12/13 = around 0.923077</output><result>12/13 = around 0.923077</result> | <gadget id="calculator">1 * 3</gadget><output>3</output><gadget id="calculator">4 / 3</gadget><output>4/3 = around 1.333333</output><gadget id="calculator">3 * 5</gadget><output>15</output><gadget id="calculator">8 / 15</gadget><output>8/15 = around 0.533333</output><gadget id="calculator">(4/3) - (8/15)</gadget><output>4/5 = around 0.8</output><gadget id="calculator">12 / 5</gadget><output>12/5 = around 2.4</output><gadget id="calculator">5 * 7</gadget><output>35</output><gadget id="calculator">12 / 35</gadget><output>12/35 = around 0.342857</output><gadget id="calculator">7 * 9</gadget><output>63</output><gadget id="calculator">16 / 63</gadget><output>16/63 = around 0.253968</output><gadget id="calculator">(12/35) - (16/63)</gadget><output>4/45 = around 0.088889</output><gadget id="calculator">9 * 11</gadget><output>99</output><gadget id="calculator">20 / 99</gadget><output>20/99 = around 0.20202</output><gadget id="calculator">11 * 13</gadget><output>143</output><gadget id="calculator">24 / 143</gadget><output>24/143 = around 0.167832</output><gadget id="calculator">(20/99) - (24/143)</gadget><output>4/117 = around 0.034188</output><gadget id="calculator">(5*7) - (4/45)</gadget><output>1_571/45 = around 34.911111</output><gadget id="calculator">(4/5) + (1_571/45)</gadget><output>1_607/45 = around 35.711111</output><result>1_607/45 = around 35.711111</result> |
ape210k__01011329 | All the players participating in the school badminton competition are divided into 9 groups, and each group is further divided into 6 groups, each group has 14 people. How many players are there in total? | 参加学校羽毛球比赛的所有队员分9个大组，每个大组再分成6个小组，每个小组有14人．参赛队员一共有多少人？ | <gadget id="calculator">14 * 6 * 9</gadget>
<output>756</output>
<result>756</result> | 756 | 756 | x=14*6*9 | calcformer-instruct-flan-xl_step-128k | The number of players in a group that is further divided into 6 groups is 9 groups * 6 groups/group =<gadget id="calculator">9*6*14</gadget><output>756</output> 756 players.<result>756</result> | If a group has 6 groups, the total number of people in a group is 9 groups / 6 groups =<gadget id="calculator">9/6</gadget><output>3/2 = around 1.5</output> 1.5 groups. If 14 people make up a group, then there are 1.5 groups * 14 people/group =<gadget id="calculator">14*1.5</gadget><output>21</output> 21 people in a group.<result>21</result> |
ape210k__00503688 | Dig a 24-kilometer-long canal, 20% of the total length was dug in the first week, and the rest was dug in the second week. How many kilometers were dug in the second week? | 挖一条24千米长的水渠，第一周挖了全长的20%，余下的第二周挖完，第二周挖了多少千米？ | <gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 - (1/5)</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">24 * (4/5)</gadget>
<output>96/5 = around 19.2</output>
<result>96/5 = around 19.2</result> | 96/5 | 19.2 | x=24*(1-20%) | calcformer-instruct-flan-xl_step-128k | In the first week, 24 * 20/100 =<gadget id="calculator">24*20/100</gadget><output>24/5 = around 4.8</output> 4.8 km were dug. So, a total of 24 - 4.8 =<gadget id="calculator">24-4.8</gadget><output>19.2</output> 19.2 km were dug in the second week.<result>19.2</result> | In the first week, 24 x 20/100 =<gadget id="calculator">24*20/100</gadget><output>24/5 = around 4.8</output> 48 kilometers were dug. So, 24 - 48 =<gadget id="calculator">24-48</gadget><output>-24</output> -24 kilometers were dug in the second week.<result>-24</result> |
ape210k__01013815 | On a map with a scale of 1:400,000, the straight-line distance between Beibei's house and grandma's house is 8.5 cm. What is the actual distance in kilometers between Beibei's house and grandma's house? | 在比例尺是1：400000的地图上量得背背家与姥姥家的直线距离是8.5厘米，贝贝家到姥姥的实际直线距离是多少千米． | <gadget id="calculator">1 / 400_000</gadget>
<output>1/400_000 = around 0.000002</output>
<gadget id="calculator">8.5 / (1/400_000) / 100_000</gadget>
<output>34</output>
<result>34</result> | 34 | 34 | x=8.5/(1/400000)/100000 | calcformer-instruct-flan-xl_step-128k | 1:400,000 =<gadget id="calculator">1/400000</gadget><output>1/400_000 = around 0.000002</output> 0.000002. 8.5 / (1/400_000) / 100_000 =<gadget id="calculator">8.5/(1/400_000) / 100_000</gadget><output>34</output> 34.<result>34</result> | If the scale of the map is 1:400,000, the distance between Beibei's house and grandma's house is 8.5 cm on the map, then this distance is 8.5/(1:400000) = 100000/400 =<gadget id="calculator">8.5/(1:400000)</gadget><output>ERROR: invalid syntax (<string>, line 1)</output> ERROR: 8.5/(1/400000) = 8.5/(7/40000) 8.5 cm is equivalent to 8.5/7 =<gadget id="calculator">8.5/7</gadget><output>1.214286</output> 1.214286 kilometers.<result>1.214286</result> |
ape210k__00082751 | A cylinder and a cone have the same base and height, and the sum of their volumes is 100 cubic centimeters. Then, how much cubic centimeters is the volume of the cylinder larger than the cone? | 一个圆柱和一个圆锥等底等高，它们的体积和是100立方厘米，那么，圆柱的体积比圆锥大多少立方厘米． | <gadget id="calculator">1 + 3</gadget>
<output>4</output>
<gadget id="calculator">100 / 4</gadget>
<output>25</output>
<gadget id="calculator">25 * 3</gadget>
<output>75</output>
<gadget id="calculator">75 - 25</gadget>
<output>50</output>
<result>50</result> | 50 | 50 | x=((100/(1+3))*3)-(100/(1+3)) | calcformer-instruct-flan-xl_step-128k | Let "c" be the volume of the cylinder and "d" be the volume of the cone. The volume of the cylinder and the cone is c + d = 100 cubic centimeters. Thus, the volume of the cylinder is c = 100 / 2 =<gadget id="calculator">100/2</gadget><output>50</output> 50 cubic centimeters. The volume of the cone is d = 100 - (50) =<gadget id="calculator">100-50</gadget><output>50</output> 50 cubic centimeters. Therefore, the volume of the cylinder is 50 cubic centimeters more than the volume of the cone.<result>50</result> | Let "x" be the volume of the cone. The volume of the cylinder is x*3 and the volume of the cone is x*2. The volume of the cylinder is x*3+x*2=100 cubic centimeters. The volume of the cylinder is 100/(3+2)=<gadget id="calculator">100/(3+2)</gadget><output>20</output> 20 cubic centimeters. The volume of the cone is x*1=100/3 cubic centimeters. The volume of the cylinder is 20-100/3=<gadget id="calculator">20-100/3</gadget><output>-40/3 = around -13.333333</output> 13.333333 cubic centimeters.<result>-40/3 = around -13.333333</result> |
ape210k__00236641 | What is the number of meters after adding (1/6) to 3.6 meters? | 3.6米增加它的(1/6)后是多少米． | <gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">3.6 * (1/6)</gadget>
<output>0.6</output>
<gadget id="calculator">3.6 + 0.6</gadget>
<output>4.2</output>
<result>4.2</result> | 4.2 | 4.2 | x=3.6+3.6*(1/6) | calcformer-instruct-flan-xl_step-128k | 1/6 is equal to (1/6)*3.6 =<gadget id="calculator">(1/6)*3.6</gadget><output>0.6</output> 0.6 meters. 3.6 + 0.6 =<gadget id="calculator">3.6+0.6</gadget><output>4.2</output> 4.2 meters.<result>4.2</result> | One part of 1/6 is equal to 1/(6*3) = 1/6. So, 3.6 meters are multiplied by 1/(6*3) = 3.6*6 =<gadget id="calculator">3.6*6</gadget><output>21.6</output> 21.6 meters in total. So, 3.6 + 21.6 =<gadget id="calculator">3.6+21.6</gadget><output>25.2</output> 25.2 meters are completed.<result>25.2</result> |
ape210k__00819891 | There are 429 boys in Xinguang Primary School, 15 more than girls. How many people are there in this school? | 新光小学有男生429人，比女生多15人，这个学校一共有多少人？ | <gadget id="calculator">429 - 15</gadget>
<output>414</output>
<gadget id="calculator">414 + 429</gadget>
<output>843</output>
<result>843</result> | 843 | 843 | x=429-15+429 | calcformer-instruct-flan-xl_step-128k | Let X be the number of students in the school. The number of girls is 429 - 15 =<gadget id="calculator">429-15</gadget><output>414</output> 414. Together, boys and girls make up X + 414 =<gadget id="calculator">414+429</gadget><output>843</output> 843 people.<result>843</result> | If the number of boys is 429, and 15 more than girls, the number of girls is 429-15 = 344. Together, boys and girls represent 429+344 =<gadget id="calculator">429+344</gadget><output>773</output> 773 people.<result>773</result> |
ape210k__00748233 | The experimental school used 405 tons of water in May, 10% less than in April. How many tons of water was used in April? | 实验学校五月份用水405吨，比四月份节约了10%，四月份用水多少吨？ | <gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 - (1/10)</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">405 / (9/10)</gadget>
<output>450</output>
<result>450</result> | 450 | 450 | x=405/(1-10%) | calcformer-instruct-flan-xl_step-128k | Let X be the amount of water used in April. Then 0.9 X was used in May to represent the difference in amount of water used. So the equation is X - 0.9 X = 405 to find X. So 405 = 0.9 X so X = 405 * 100/90 =<gadget id="calculator">405*100/90</gadget><output>450</output> 450.<result>450</result> | The total amount of water in May is 405 * 100/90 =<gadget id="calculator">405*100/90</gadget><output>450</output> 450 tons. Since 10% less than April is 450, then 100% more is 450 * 110/100 =<gadget id="calculator">450*110/100</gadget><output>495</output> 495 tons.<result>495</result> |
ape210k__00347831 | Students make 20 yellow flowers, exactly 5 times the number of red flowers, how many red flowers are made. | 同学们做黄花20朵，正好是红花朵数的5倍，做红花多少朵． | <gadget id="calculator">20 / 5</gadget>
<output>4</output>
<result>4</result> | 4 | 4 | x=20/5 | calcformer-instruct-flan-xl_step-128k | If 5x is the number of red flowers, then 20=5x. The number of red flowers is 20/5=<gadget id="calculator">20/5</gadget><output>4</output> 4.<result>4</result> | If 20 represents 5 times the number of red flowers then 5*20=<gadget id="calculator">20*5</gadget><output>100</output> 100 red flowers are made.<result>100</result> |
ape210k__00881643 | Master Li makes 25 parts in 1.5 hours, how many hours does it take on average to make each part. | 李师傅1.5小时做25个零件，平均做每个零件需要多少小时． | <gadget id="calculator">1.5 / 25</gadget>
<output>0.06</output>
<result>0.06</result> | 0.06 | 0.06 | x=1.5/25 | calcformer-instruct-flan-xl_step-128k | If it takes 1.5 hours to make 25 parts, then it takes 1.5/25=<gadget id="calculator">1.5/25</gadget><output>0.06</output> 0.06 hours to make each part.<result>0.06</result> | Since there are 25 parts, and 1.5 hours is equivalent to 15 hours, then it takes 1.5/15=<gadget id="calculator">1.5/15</gadget><output>0.1</output> 0.1 hours per part.<result>0.1</result> |
ape210k__00268283 | There is a square iron sheet. After cutting a square with a side length of 2 cm from the four vertices, the remaining part is just welded into a square iron sheet box without a cover. What is the area of the original square iron sheet? | 有一块正方形铁皮，从四个顶点分别剪下一个边长2厘米的正方形后，所剩部分正好焊接成一个无盖的正方体铁皮盒．原来正方形铁皮的面积是多少平方厘米？ | <gadget id="calculator">2 * 2</gadget>
<output>4</output>
<gadget id="calculator">2 + 4</gadget>
<output>6</output>
<gadget id="calculator">6 * 6</gadget>
<output>36</output>
<result>36</result> | 36 | 36 | x=(2+2*2)*(2+2*2) | calcformer-instruct-flan-xl_step-128k | We know that the square at the four vertices is 2 * 2 =<gadget id="calculator">2*2</gadget><output>4</output> 4 cm in area. So, the square iron sheet that has been cut off is 2 + 4 =<gadget id="calculator">2+4</gadget><output>6</output> 6 cm in area. Since there are two equal sides to a square, then the original square iron sheet is 6 * 6 =<gadget id="calculator">6*6</gadget><output>36</output> 36 cm in area.<result>36</result> | We can find the area of the square without covering it, which is 2 * 2 =<gadget id="calculator">2*2</gadget><output>4</output> 4 square cm. So the iron sheet has a length of 4 + 4 =<gadget id="calculator">4+4</gadget><output>8</output> 8 cm. Since it's a square, the area is 8 * 8 =<gadget id="calculator">8*8</gadget><output>64</output> 64 cm2.<result>64</result> |
ape210k__00559690 | A cylinder and a cone have the same volume and base area. It is known that the height of the cylinder is 2.4 cm, and the height of the cone is cm. | 一个圆柱和一个圆锥的体积和底面积相等，已知圆柱的高是2.4cm，圆锥的高是多少cm． | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">2.4 / (1/3)</gadget>
<output>7.2</output>
<result>7.2</result> | 7.2 | 7.2 | x=2.4/(1/3) | calcformer-instruct-flan-xl_step-128k | Since there are 3 similar triangles, then the height of each will be 2.4 * 3 =<gadget id="calculator">2.4*3</gadget><output>7.2</output> 7.2 cm.<result>7.2</result> | The volume of a cylinder is 2.4 / 3 =<gadget id="calculator">2.4/3</gadget><output>0.8</output> 0.8 cubic centimetres. So, the volume of a cone is 0.8 * 3 =<gadget id="calculator">0.8*3</gadget><output>2.4</output> 2.4 cubic centimetres. Therefore, the height of a cylinder is 2.4 / 0.8 =<gadget id="calculator">2.4/0.8</gadget><output>3</output> 3 cm.<result>3</result> |
ape210k__00848767 | rope is 598 meters, 172 meters are used for the first time, and 203 meters are used for the second time, how many meters are left? | 一根绳子598米，第一次用去172米，第二次用去203米，还剩下多少米． | <gadget id="calculator">598 - 172 - 203</gadget>
<output>223</output>
<result>223</result> | 223 | 223 | x=598-172-203 | calcformer-instruct-flan-xl_step-128k | The total used rope is 172 + 203 =<gadget id="calculator">172+203</gadget><output>375</output> 375 meters. So, there are 598 - 375 =<gadget id="calculator">598-375</gadget><output>223</output> 223 meters left.<result>223</result> | The rope is 598 meters long, 172 meters + 203 meters =<gadget id="calculator">598*172</gadget><output>102_856</output> 102,856 meters long 598 - 102,856 =<gadget id="calculator">598-102,856</gadget><output>ERROR: 'tuple' object has no attribute 'evalf'</output> > 5. Thus, only 598 - 102 - 203 =<gadget id="calculator">598-102-203</gadget><output>293</output> 293 meters are left.<result>293</result> |
ape210k__00062059 | There are 9 tricycles and four-wheel vehicles with 32 wheels, how many of them are four-wheeled vehicles? | 三轮车和四轮车共9辆，有32个轮子，其中四轮有多少辆． | <gadget id="calculator">3 * 9</gadget>
<output>27</output>
<gadget id="calculator">32 - 27</gadget>
<output>5</output>
<gadget id="calculator">4 - 3</gadget>
<output>1</output>
<gadget id="calculator">5 / 1</gadget>
<output>5</output>
<result>5</result> | 5 | 5 | x=(32-3*9)/(4-3) | calcformer-instruct-flan-xl_step-128k | There are a total of 9 * 3 =<gadget id="calculator">9*3</gadget><output>27</output> 27 wheels from tricycles. There are 32 - 27 =<gadget id="calculator">32-27</gadget><output>5</output> 5 wheels from four-wheeled vehicles. Therefore 5 / 4 =<gadget id="calculator">5/4</gadget><output>5/4 = around 1.25</output> 1.25 vehicles are four-wheeled vehicles.<result>5</result> | Let x be the number of 4 wheeled vehicles because 32-3=<gadget id="calculator">32-3</gadget><output>29</output> 29. The number of tricycles is 9 because 3-9=<gadget id="calculator">9-3</gadget><output>6</output> 6. The number of four wheeled vehicles is 29-6=<gadget id="calculator">29-6</gadget><output>23</output> 23.<result>23</result> |
ape210k__00695569 | How many square bricks are needed to pave 76.8 square meters of ground with square bricks with a side length of 0.8 meters? | 用边长0.8米的方砖铺76.8平方米的地面，需要多少块这样的方砖？ | <gadget id="calculator">0.8 * 0.8</gadget>
<output>0.64</output>
<gadget id="calculator">76.8 / 0.64</gadget>
<output>120</output>
<result>120</result> | 120 | 120 | x=76.8/(0.8*0.8) | calcformer-instruct-flan-xl_step-128k | First find the area of 1 brick: 0.8 * 0.8 =<gadget id="calculator">0.8*0.8</gadget><output>0.64</output> 0.64 cubic meters. Then divide the area of the ground to the area of each brick: 76.8 / 0.64 =<gadget id="calculator">76.8/0.64</gadget><output>120</output> 120 bricks.<result>120</result> | First calculate the area of 1 brick by multiplying the side length by the number of tiles, performing 0.6 * 0.8 * 0.8 =<gadget id="calculator">0.6*0.8*0.8</gadget><output>0.384</output> 0.3848 cubic meters. Then find the number of tiles needed to cover the area 76.8 square meters: 76.8 / 0.3848=<gadget id="calculator">76.8/0.384</gadget><output>200</output> 200 bricks.<result>200</result> |
ape210k__00636751 | In the mid-term exam, Linlin scored 91 points in Chinese, 93 points in mathematics, and 95 points in English. What is her average score in these three subjects? | 期中考试，琳琳语文得了91分，数学得了93分，英语得了95分，她这三科的平均成绩是多少分． | <gadget id="calculator">91 + 95 + 93</gadget>
<output>279</output>
<gadget id="calculator">279 / 3</gadget>
<output>93</output>
<result>93</result> | 93 | 93 | x=(91+95+93)/3 | calcformer-instruct-flan-xl_step-128k | Linlin's average score in Chinese + mathematics + English is 91 + 93 + 95 =<gadget id="calculator">91+93+95</gadget><output>279</output> 279 points. Therefore, she scored 279/3 =<gadget id="calculator">279/3</gadget><output>93</output> 93 points per subject.<result>93</result> | Linlin scored a total of 91 + 93 + 95 =<gadget id="calculator">91+93+95</gadget><output>279</output> 279 points in total. Hence, she averaged 279/3 =<gadget id="calculator">287-9</gadget><output>278</output> 278 points in all the three subjects.<result>278</result> |
ape210k__00415722 | A project can be completed by team A in 4 days and team B in 6 days. Working together, the two teams can complete the project ((())/(())) every day. | 一项工程，甲队独做4天完成，乙队独做6天完成．两队一起做，每天可以完成这项工程的((())/(()))． | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">(1/4) + (1/6)</gadget>
<output>5/12 = around 0.416667</output>
<result>5/12 = around 0.416667</result> | 5/12 | 0.416667 | x=(1/4)+(1/6) | calcformer-instruct-flan-xl_step-128k | Since team A can complete the project in 4 days and team B can complete the project in 6 days, their combined rate of work is 1/4+1/6=5/12 of the project per day.<result>5/12 = around 0.416667</result> | A's one day work = 1/4; B's one day work = 1/6. (A+B)'s one day work = 1/4+1/6 = 5/12. So, both teams can complete the project in 12/5=<gadget id="calculator">12/5</gadget><output>12/5 = around 2.4</output> 2.4 days.<result>12/5 = around 2.4</result> |
ape210k__00161245 | A piece of clothing sells for 120 yuan after a 20% discount. How much is the original price of this piece of clothing? What is the correct formula | 一件衣服打8折后卖120元，这件衣服的原价是多少钱？正确的算式为多少 | <gadget id="calculator">8 / 10</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">120 / (4/5)</gadget>
<output>150</output>
<result>150</result> | 150 | 150 | x=120/(8/10) | calcformer-instruct-flan-xl_step-128k | Let X be the original price. 0.8 * X = 120 Y / 0.8 = 120/0.8 =<gadget id="calculator">120/0.8</gadget><output>150</output> 150.<result>150</result> | 80% discount means 80% * 120 =<gadget id="calculator">80*120</gadget><output>9_600</output> 9600 yuan. So, the original price is 9600/0.8 =<gadget id="calculator">9600/0.8</gadget><output>12_000</output> 12000.<result>12_000</result> |
ape210k__00649719 | In 5.{_{4}**(•)}5{_{4}**(•)}, 5.{_{4}**(•)}{_{5}**(•) }4, 5.4, 5. {_{4}**(•)}, 5.54, what is the largest number? | 在5.{_{4}**(•)}5{_{4}**(•)}，5.{_{4}**(•)}{_{5}**(•)}4，5.4，5.{_{4}**(•)}，5.54这五个数中，最大的数是多少． | <result>5.54</result> | 5.54 | 5.54 | x=5.54 | calcformer-instruct-flan-xl_step-128k | 5.54 is the largest number among the remaining four. The answer is 5.54.<result>5.54</result> | 5.54. Clearly, 5.54 is the largest number. 5.54 5.4 5.54 5.4 5.4 5.54 Hence the answer is 5.54.<result>5</result> |
ape210k__00312323 | The construction of a road started on May 9th and was completed on June 10th. How many days did it take to build this road? | 一条公路从5月9日开工修建，到6月10日完工，这条路一共修了多少天． | <gadget id="calculator">31 - 9</gadget>
<output>22</output>
<gadget id="calculator">22 + 1 + 10</gadget>
<output>33</output>
<result>33</result> | 33 | 33 | x=31-9+1+10 | calcformer-instruct-flan-xl_step-128k | There are 31 days in May and 1 extra day in June, so that's 31 + 1 =<gadget id="calculator">31+1</gadget><output>32</output> 32 days. The road was completed on June 10th, which means it took 32 + 1 =<gadget id="calculator">32+1</gadget><output>33</output> 33 days to build the road.<result>33</result> | It took a total of May 9 + June 1 + 1 =<gadget id="calculator">9+1+1</gadget><output>11</output> 11 days to build the road.<result>11</result> |
ape210k__00421226 | Uncle Zhang raised 32 sheep. He sold half of the total number of sheep for the first time and 2 less sheep, and sold the remaining half and 2 more sheep for the second time. How many sheep are left? | 张大伯养了32只羊，他第一次卖了总数的一半少2只，第二次卖了余下的一半多2只，还剩下多少只？ | <gadget id="calculator">32 / 2</gadget>
<output>16</output>
<gadget id="calculator">16 - 2</gadget>
<output>14</output>
<gadget id="calculator">32 - 14</gadget>
<output>18</output>
<gadget id="calculator">18 / 2</gadget>
<output>9</output>
<gadget id="calculator">9 + 2</gadget>
<output>11</output>
<gadget id="calculator">18 - 11</gadget>
<output>7</output>
<result>7</result> | 7 | 7 | x=(32-(32/2-2))-((32-(32/2-2))/2+2) | calcformer-instruct-flan-xl_step-128k | Half of the total number of sheep sold is 32/2=<gadget id="calculator">32/2</gadget><output>16</output> 16 sheep. The number of sheep sold that is 2 less than the original number is 16-2=<gadget id="calculator">16-2</gadget><output>14</output> 14 sheep. The number of sheep that are half of the total number of sheep after the first sale is 32-14=<gadget id="calculator">32-14</gadget><output>18</output> 18 sheep. The number of sheep that are half of the total number of sheep after the second sold is 18/2=<gadget id="calculator">18/2</gadget><output>9</output> 9 sheep. The number of sheep that are half of the total number of sheep after the second sold is 9+2=<gadget id="calculator">9+2</gadget><output>11</output> 11 sheep. The number of sheep that are left is 18-11=<gadget id="calculator">18-11</gadget><output>7</output> 7 sheep.<result>7</result> | Half of the total number of sheep raised is 32/2=<gadget id="calculator">32/2</gadget><output>16</output> 16 sheep. So after selling 16 sheep for the first time, there were 32-16=<gadget id="calculator">32-16</gadget><output>16</output> 16 sheep left. Adding 2 less sheep to the remaining 16 sheep after the first time, there were 16-2=<gadget id="calculator">16-2</gadget><output>14</output> 14 sheep left. The second time Zhang sold the remaining 14/2=<gadget id="calculator">14/2</gadget><output>7</output> 7 sheep. So after the second time, there were 7+2=<gadget id="calculator">7+2</gadget><output>9</output> 9 sheep left.<result>9</result> |
ape210k__00446935 | Uncle Li deposits 100,000 yuan in the bank this year, fixed for three years, with an annual interest rate of 2.70%, how much interest will he get after three years. | 李叔叔今年存入银行10万元，定期三年，年利率2.70%，三年后到期可得利息多少元． | <gadget id="calculator">10 * 10_000</gadget>
<output>100_000</output>
<gadget id="calculator">2.7 / 100</gadget>
<output>0.027</output>
<gadget id="calculator">100_000 * 0.027 * 3</gadget>
<output>8_100</output>
<result>8_100</result> | 8_100 | 8,100 | x=(10*10000)*2.70%*3 | calcformer-instruct-flan-xl_step-128k | The annual interest rate is 2.7 / 100,000 = $<gadget id="calculator">2.7/100*100000</gadget><output>2_700</output> 2700. For three years, the interest is 2700*3 = $<gadget id="calculator">2700*3</gadget><output>8_100</output> 8100.<result>8_100</result> | The annual interest is 2.70%*100,000=$<gadget id="calculator">2.7000*10000</gadget><output>27_000</output> 27000. For three years, his interest will be worth $27000*3=$<gadget id="calculator">27000*3</gadget><output>81_000</output> 81,000.<result>81_000</result> |
ape210k__01162851 | Xiao Ming inserts a bamboo pole into the water, the part that enters the water is 30 cm, then he turns the bamboo pole upside down, and then inserts it into the water, the part that is not wetted by this time is 40 cm, how many decimeters is this bamboo pole long? | 小明把一根竹竿插入水中，入水部分是30厘米，然后他把竹竿倒过来，再插入水中，这时没沾水的部分是40厘米这根竹竿长多少分米？ | <gadget id="calculator">30 + 30 + 40</gadget>
<output>100</output>
<gadget id="calculator">100 / 10</gadget>
<output>10</output>
<result>10</result> | 10 | 10 | x=(30+30+40)/10 | calcformer-instruct-flan-xl_step-128k | 30 cm + 30 cm + 40 cm =<gadget id="calculator">30+30+40</gadget><output>100</output> 100 cm 100 cm / 10 cm =<gadget id="calculator">100/10</gadget><output>10</output> 10 cm.<result>10</result> | 30 cm wet + 30 cm dry =<gadget id="calculator">30+30</gadget><output>60</output> 60 cm. 40 cm + 40 cm =<gadget id="calculator">40+40</gadget><output>80</output> 80 cm 80 cm / 10 cm =<gadget id="calculator">80/10</gadget><output>8</output> 8 cm.<result>8</result> |
ape210k__00049229 | A truck compartment is 3.5 meters long and 2.5 meters wide. Sand 0.4 meters high is installed in the carriage. 1 cubic meter of sand weighs 1.2 tons, how many tons of sand does this truck hold? | 一辆卡车车厢长3.5米，宽2.5米．在车厢里装了0.4米高的沙子．1立方米沙子重1.2吨，这辆卡车装了多少吨沙子？ | <gadget id="calculator">3.5 * 2.5 * 0.4 * 1.2</gadget>
<output>4.2</output>
<result>4.2</result> | 4.2 | 4.2 | x=3.5*2.5*0.4*1.2 | calcformer-instruct-flan-xl_step-128k | The volume of the truck compartment is 3.5 * 2.5 * 0.4 =<gadget id="calculator">3.5*2.5*0.4</gadget><output>3.5</output> 3.5 cubic meters. The weight of this sand is 3.5 * 1.2 =<gadget id="calculator">3.5*1.2</gadget><output>4.2</output> 4.2 tons.<result>4.2</result> | The volume of the compartment is 3.5 * 2.5 * 0.4 =<gadget id="calculator">3.5*2.5*0.4</gadget><output>3.5</output> 3.5 cubic meters. The total weight of the sand is 3.5 * 1.2 * 3.5 =<gadget id="calculator">3.5*1.2*3.5</gadget><output>14.7</output> 14.7 tons.<result>14.7</result> |
ape210k__00423483 | Uncle Li deposits 100,000 yuan in the bank for three years, with an annual interest rate of 4.25%. How much interest can you get when it matures in three years? (After maturity, interest tax shall be paid at 5% of the interest) | 李叔叔存入银行10万元，定期三年，年利率为4.25%．三年后到期能得到多少利息？(到期后要按利息的5%缴纳利息税) | <gadget id="calculator">10 * 10_000</gadget>
<output>100_000</output>
<gadget id="calculator">4.25 / 100</gadget>
<output>0.0425</output>
<gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">1 - (1/20)</gadget>
<output>19/20 = around 0.95</output>
<gadget id="calculator">100_000 * 0.0425 * (19/20) * 3</gadget>
<output>12_112.5</output>
<result>12_112.5</result> | 12_112.5 | 12,112.5 | x=(10*10000)*4.25%*(1-5%)*3 | calcformer-instruct-flan-xl_step-128k | Since Uncle Li deposited 100,000 dollars, and the interest rate is 4.25 %, the interest he gets is 4.25/100*100,000 = $4,250. Interest for three years is $4,250*3 = $<gadget id="calculator">4250*3</gadget><output>12_750</output> 12,750. Since tax is 5 percent, Uncle Li has to pay a tax of 12750*(5/100) = $<gadget id="calculator">12750*(5/100)</gadget><output>1_275/2 = around 637.5</output> 675 on the interest. Therefore Uncle Li will get 12750-675=<gadget id="calculator">12750-675</gadget><output>12_075</output> 12075 after taxes.<result>12_075</result> | 10,000,000*4.25*3=<gadget id="calculator">100000*4.25*3</gadget><output>1_275_000</output> 1,275,000 dollars. Uncle Li will have to pay 5% of $1,275,000, so 5/100*1,275,000 =<gadget id="calculator">5/100*125000</gadget><output>6_250</output> 6250 dollars in interest. The total amount of interest Uncle Li will get after taxes is 1,275,000-6,250 =<gadget id="calculator">1275000-6250</gadget><output>1_268_750</output> 1,268,750.<result>1_268_750</result> |
ape210k__00024477 | It is known that the No. 4 bus departs once every 10 minutes, and the No. 6 bus departs once every 15 minutes. After leaving one at the same time, it will depart at the same time at least ___ minutes later. How many | 已知4路公共汽车10分钟开出一辆，6路公共汽车15分钟开出一辆，同时开出一辆后，至少再过___分钟又同时开出．多少 | <result>30</result> | 30 | 30 | x=30 | calcformer-instruct-flan-xl_step-128k | 15 minutes.<result>30</result> | 15 because 15 > 10<result>15</result> |
ape210k__00002278 | There is a pile of candies, of which toffee accounts for (9/20), and 16 pieces of fruit candy are added, and toffee only accounts for (1/4). How many pieces of this pile of candies are there? | 有一堆糖果，其中奶糖占(9/20)，再放入16块水果糖，奶糖就只占(1/4)，这堆糖果原来共有多少块？ | <gadget id="calculator">4 - 1</gadget>
<output>3</output>
<gadget id="calculator">3 / 1</gadget>
<output>3</output>
<gadget id="calculator">20 - 9</gadget>
<output>11</output>
<gadget id="calculator">11 / 9</gadget>
<output>11/9 = around 1.222222</output>
<gadget id="calculator">3 - (11/9)</gadget>
<output>16/9 = around 1.777778</output>
<gadget id="calculator">9 / 20</gadget>
<output>9/20 = around 0.45</output>
<gadget id="calculator">16 / (16/9) / (9/20)</gadget>
<output>20</output>
<result>20</result> | 20 | 20 | x=16/(((4-1)/1)-((20-9)/9))/(9/20) | calcformer-instruct-flan-xl_step-128k | Let P be the original number of candies. There were C candies before the addition of 16 fruit candies. There are now C+16 = P+16. Thus (9/20)*P + (14/40)*P = (14/40)*P = P+16/4P = 4P + 48. Thus P =<gadget id="calculator">20</gadget><output>20</output> 20. The original pile had C candies.<result>20</result> | Let X be the original number of candies. When 16 pieces of fruit candy are added, the number of candies becomes X + 16 =<gadget id="calculator">16+16</gadget><output>32</output> 32. If the toffee accounts for 9/20 of the candies, then this means that 9/20 * X = 32 = 16 pieces of candy. This also means that X consists of 9/25 * 32 =<gadget id="calculator">9/25*32</gadget><output>288/25 = around 11.52</output> 11.52 pieces. So there are approximately 115.2 - 11 =<gadget id="calculator">115.2-11</gadget><output>104.2</output> 102.2 pieces of candies in the original pile before the fruit candy was added.<result>104.2</result> |
ape210k__00391908 | Junjun and his younger brother went to the playground, and each paid 16 yuan for the first hour, and 8 yuan per hour thereafter. After the game, the two paid a total of 64 yuan. How many hours did they play in the playground? | 军军和弟弟到游乐场游玩，每人第一个小时付款16元，以后每小时付款8元，游玩后两人共付了64元，他们在游乐场玩了几小时？ | <gadget id="calculator">16 * 2</gadget>
<output>32</output>
<gadget id="calculator">64 - 32</gadget>
<output>32</output>
<gadget id="calculator">8 * 2</gadget>
<output>16</output>
<gadget id="calculator">32 / 16</gadget>
<output>2</output>
<gadget id="calculator">2 + 1</gadget>
<output>3</output>
<result>3</result> | 3 | 3 | x=(64-16*2)/(8*2)+1 | calcformer-instruct-flan-xl_step-128k | Let X be the number of additional hours they played. The two paid 64 - 16 =<gadget id="calculator">64-16</gadget><output>48</output> 48 yuan together after the first hour. So they played 48 / 2 / 8 =<gadget id="calculator">48/2/8</gadget><output>3</output> 3 additional hours in total.<result>3</result> | Let X = the number of additional hours they played. The two paid a total of 16 * 2 =<gadget id="calculator">16*2</gadget><output>32</output> 32 yuan together. This left 64 - 32 =<gadget id="calculator">64-32</gadget><output>32</output> 32 yuan to be spent. So, the two spent 32 / 8 =<gadget id="calculator">32/8</gadget><output>4</output> 4 additional hours in the playground.<result>4</result> |
ape210k__00019847 | For the three-digit "37□", to make it a multiple of 2 and a multiple of 3, what is the maximum number that can be filled in □. | 三位数"37□"，要使它既是2的倍数又是3的倍数，□里最大可填数字多少． | <result>8</result> | 8 | 8 | x=8 | calcformer-instruct-flan-xl_step-128k | To be a multiple of 2, the sum of the digits should be divisible by both 2 and 3. To be a multiple of 3, the sum of the digits should be divisible by 3. The only possibility for this is if the digits are all divisible by 3. The largest possible value for is 8, because if the numbers are divisible by 2 and 3, then any value of less than or equal to 8 is divisible by both 2 and 3. The maximum value for in the three-digit number "37" is therefore 8. answer choice is:8<result>8</result> | To make it a multiple of 2, the sum of the digits should be a multiple of 3. The sum of the digits is 37, so the only possibility is that the last three digits of 37 can be 0 or 6. The next multiple of 3 is 6, so to make it a multiple of both 2, and 3 the sum of the digits should be a multiple of 6. To make it a multiple of 6, the sum of the digits should be a multiple of 6. The last three digits in the sum should be 0 or 6. Only 6,7 and 8 can satisfy these conditions. Thus the maximum that can be filled in is 7.<result>7</result> |
ape210k__00042616 | After a rope is folded in half 3 times, each piece is 9.26 meters long, what is the total length of the rope in meters? | 一根绳子对折3次后，每段长9.26米，这根绳子总长是多少米？ | <gadget id="calculator">9.26 * 8</gadget>
<output>74.08</output>
<result>74.08</result> | 74.08 | 74.08 | x=9.26*8 | calcformer-instruct-flan-xl_step-128k | The length of a rope that is folded three times is 2*2*2 =<gadget id="calculator">2*2*2</gadget><output>8</output> 8 meters long. If one piece of the rope is 9.26 meters long, then the total length of the rope is 9.26*8 =<gadget id="calculator">9.26*8</gadget><output>74.08</output> 74.08 meters.<result>74.08</result> | The rope is long enough to be folded twice * twice * twice =<gadget id="calculator">2*2*2*3</gadget><output>24</output> 24 times. Therefore, the length of the rope is 24 * 9.26 =<gadget id="calculator">24*9.26</gadget><output>222.24</output> 222.24 meters.<result>222.24</result> |
ape210k__00550061 | If a semicircular iron plate has a radius of 2 cm, what is its circumference in cm? | 一个半圆的铁片，它的半径是2cm，它的周长是多少cm． | <gadget id="calculator">2 / 2</gadget>
<output>1</output>
<gadget id="calculator">2 * 3.14 * 1</gadget>
<output>6.28</output>
<gadget id="calculator">2 * 2</gadget>
<output>4</output>
<gadget id="calculator">6.28 + 4</gadget>
<output>10.28</output>
<result>10.28</result> | 10.28 | 10.28 | x=2*3.14*2/2+2*2 | calcformer-instruct-flan-xl_step-128k | The circumference of a circle is 2 * 3.14 =<gadget id="calculator">2*3.14</gadget><output>6.28</output> 6.28 cm. The circumference of a semicircle is 2 * 2 =<gadget id="calculator">2*2</gadget><output>4</output> 4 cm. Thus, the circumference of the iron plate is 6.28 + 4 =<gadget id="calculator">6.28+4</gadget><output>10.28</output> 10.28 cm.<result>10.28</result> | First, find the semicircle's diameter: 2 cm / 2 =<gadget id="calculator">2/2</gadget><output>1</output> 1 cm. Then, add 2 to the diameter to find the circumference: 2 cm + 1 cm =<gadget id="calculator">2+1</gadget><output>3</output> 3 cm.<result>3</result> |
ape210k__01093477 | Mingming wakes up at 6:40 in the morning, leaves home at 7:05, and arrives at school at 7:20. If he can ride 140 meters per minute, how many meters is the distance between his home and school? | 明明早上6：40起床，7：05从家出发，7：20到达学校，如果他每分钟能骑140米，那么明明家与学校相距多少米？ | <gadget id="calculator">15 * 140</gadget>
<output>2_100</output>
<result>2_100</result> | 2_100 | 2,100 | x=15*140 | calcformer-instruct-flan-xl_step-128k | First find the total number of minutes he spends traveling: 20 minutes - 5 minutes =<gadget id="calculator">20-5</gadget><output>15</output> 15 minutes. Then multiply that number by the number of meters he travels per minute to find his total distance: 140 meters/minute * 15 minutes =<gadget id="calculator">140*15</gadget><output>2_100</output> 2100 meters.<result>2_100</result> | If Mingming has 5 minutes to arrive at school and he travels at 140 meters per minute, his speed is 140*5 =<gadget id="calculator">140*5</gadget><output>700</output> 700 meters per minute. If he travels at 700 meters per minute, the distance between his home and school is 700*(15) =<gadget id="calculator">700*15</gadget><output>10_500</output> 10500 meters.<result>10_500</result> |
ape210k__00230985 | The price of a commodity after a 20% discount is 72 yuan. What is the original price of this commodity? | 一种商品打八折后的售价是72元，这种商品的原价是多少元． | <gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">72 / (4/5)</gadget>
<output>90</output>
<result>90</result> | 90 | 90 | x=72/80% | calcformer-instruct-flan-xl_step-128k | If after a discount of 20%, the price of the commodity remains the same, so without discount the price is 72*100/80 =<gadget id="calculator">72*100/80</gadget><output>90</output> 90.<result>90</result> | Let X be the original price of the commodity. 0.8 * X = 72 Yen X = 72 * 100 / 0.8 =<gadget id="calculator">72*100/0.8</gadget><output>9_000</output> 9000<result>9_000</result> |
ape210k__00925395 | Xiaofang and Xiaoli walked toward each other from home at the same time. They met after 12 minutes. Xiaofang walked 70 meters per minute, and Xiaoli walked 65 meters per minute. How many meters are the distance between her two families? | 小芳和小丽同时从家相向而行，12分钟后两人相遇，小芳每分钟走70米，小丽每分钟走65米，她两家相距多少米？ | <gadget id="calculator">70 + 65</gadget>
<output>135</output>
<gadget id="calculator">135 * 12</gadget>
<output>1_620</output>
<result>1_620</result> | 1_620 | 1,620 | x=(70+65)*12 | calcformer-instruct-flan-xl_step-128k | If Xiaofang walks 70 meters per minute, then she covers 70 meters/minute + 65 meters/minute =<gadget id="calculator">70+65</gadget><output>135</output> 135 meters in 12 minutes. The total distance between them is 135 meters/minute * 12 minutes =<gadget id="calculator">135*12</gadget><output>1_620</output> 1620 meters.<result>1_620</result> | In 12 minutes, they covered 12*70 =<gadget id="calculator">12*70</gadget><output>840</output> 840 meters. So the distance between them is 840+65 =<gadget id="calculator">840+65</gadget><output>905</output> 905 meters.<result>905</result> |
ape210k__00580769 | The school plans to invest 600,000 yuan to build a plastic runway in the school, but the actual cost is 750,000 yuan, which is an increase of a few percent compared to the plan? | 学校计划投资60万元在学校修建塑胶跑道，实际用75万，比计划增加了百分之几？ | <gadget id="calculator">75 - 60</gadget>
<output>15</output>
<gadget id="calculator">15 / 60</gadget>
<output>1/4 = around 0.25</output>
<result>1/4 = around 0.25</result> | 1/4 | 0.25 | x=(75-60)/60 | calcformer-instruct-flan-xl_step-128k | The actual increase is 75 - 60 =<gadget id="calculator">75-60</gadget><output>15</output> 15 percent. So, the increase is 15/60 = 1/4.<result>1/4 = around 0.25</result> | The actual cost is 75% more than the plan, so there is an increase of 75/60*100=<gadget id="calculator">75/60*100</gadget><output>125</output> 125%.<result>125</result> |
ape210k__00447436 | One book, I read (4/9), but I haven’t read the rest ((())/(())) of this book. | 一本书，看了(4/9)，还剩下这本书的((())/(()))没有看． | <gadget id="calculator">4 / 9</gadget>
<output>4/9 = around 0.444444</output>
<gadget id="calculator">1 - (4/9)</gadget>
<output>5/9 = around 0.555556</output>
<result>5/9 = around 0.555556</result> | 5/9 | 0.555556 | x=1-(4/9) | calcformer-instruct-flan-xl_step-128k | A book isn't complete if you read every page. The percentage of books that haven't been read is 4/9, which is 4/9 / 9 = 4/9 percentage. The rest of the book is 5/9 which is 5/9 % of the whole book.<result>5/9 = around 0.555556</result> | The rest of the book is 5/9 as opposed to 4/9 which is 5/9 - 4/9 = 1-9/9 = 1/9 of the book. Therefore, the percentage of the book that hasn't been read is 1-9/9 = 1/9 of the book.<result>1/9 = around 0.111111</result> |
ape210k__00170559 | What is the sum of 26 plus 30 times 14? | 26加14的30倍，和是多少． | <gadget id="calculator">14 * 30</gadget>
<output>420</output>
<gadget id="calculator">26 + 420</gadget>
<output>446</output>
<result>446</result> | 446 | 446 | x=26+14*30 | calcformer-instruct-flan-xl_step-128k | 14 * 30 =<gadget id="calculator">14*30</gadget><output>420</output> 420 26 + 420 =<gadget id="calculator">26+420</gadget><output>446</output> 446.<result>446</result> | First find how many 14's are in 30 times: 14*30=<gadget id="calculator">14*30</gadget><output>420</output> 420 14+420=<gadget id="calculator">14+420</gadget><output>434</output> 434.<result>434</result> |
ape210k__01141615 | Fangfang wanted to make a cup of hot juice for her mother, but there was no boiling water. She needs to do the following things: boil water (6 minutes), find fruit powder (1 minute), wash the cup (2 minutes), wait for the juice to become warm (2 minutes). How many minutes does it take at least for mom to drink hot juice? | 芳芳要为妈妈冲一杯热果汁，可是没有开水了．她需要做以下几件事情：烧开水(6分钟)，找果粉(1分钟)，洗杯子(2分钟)，等果汁变温(2分钟)．让妈妈喝上热果汁至少需要几分钟？ | <gadget id="calculator">6 + 2</gadget>
<output>8</output>
<result>8</result> | 8 | 8 | x=6+2 | calcformer-instruct-flan-xl_step-128k | First, boil the water. Then add 6 + 2 =<gadget id="calculator">6+2</gadget><output>8</output> 8 minutes.<result>8</result> | 6 + 2 + 2 =<gadget id="calculator">6+2+2</gadget><output>10</output> 10 minutes.<result>10</result> |
ape210k__00382847 | 3 students have a rope skipping competition. Xiaoming did 120 jumps, Xiaoqiang's (3/4), Xiaoliang's was Xiaoqiang's (13/16), how many did Xiaoliang jump? | 3个同学进行跳绳比赛．小明跳了120个，是小强跳的(3/4)，小亮跳的是小强的(13/16)，小亮跳了多少个？ | <gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">120 / (3/4)</gadget>
<output>160</output>
<gadget id="calculator">13 / 16</gadget>
<output>13/16 = around 0.8125</output>
<gadget id="calculator">160 * (13/16)</gadget>
<output>130</output>
<result>130</result> | 130 | 130 | x=120/(3/4)*(13/16) | calcformer-instruct-flan-xl_step-128k | Xiaoming is 3/4 of Xiaoqiang's jumps, so he did 120 jumps/(3/4) =<gadget id="calculator">120/3*4</gadget><output>160</output> 160 jumps Xiaoqiang's total is 160 jumps * (13/16) =<gadget id="calculator">160*(13/16)</gadget><output>130</output> 130 jumps.<result>130</result> | Xiaoming is 3/4 of Xiaoqiang, so Xiaoqiang has 120 * 3/4 =<gadget id="calculator">120*3/4</gadget><output>90</output> 90 jumps. 13/16 of Xiaoqiang's jumps is 90 * 13/16 =<gadget id="calculator">90*13/16</gadget><output>585/8 = around 73.125</output> 73.125 jumps.<result>585/8 = around 73.125</result> |
ape210k__01147099 | Xiaoli has 12 pens, and Xiaohong's is Xiaoli's (3/4). Xiaohua's is 5 less than the total number of the two of them. How many pens does Xiaohua have? | 小丽有12枝笔，小红的是小丽的(3/4)．小花的比她俩的总数少5枝，小花有多少枝笔？ | <gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">12 * (3/4)</gadget>
<output>9</output>
<gadget id="calculator">12 - 5</gadget>
<output>7</output>
<gadget id="calculator">9 + 7</gadget>
<output>16</output>
<result>16</result> | 16 | 16 | x=12*(3/4)+12-5 | calcformer-instruct-flan-xl_step-128k | Xiaoli has 12 pens, and Xiaohong's is 3/4 of hers, so 3/4 * 12 =<gadget id="calculator">12*3/4</gadget><output>9</output> 9 pens. The total number of the two is 12 + 9 =<gadget id="calculator">12+9</gadget><output>21</output> 21 pens. But Xiaohua's is 5 less than the total number of them, so 21 - 5 =<gadget id="calculator">21-5</gadget><output>16</output> 16 pens.<result>16</result> | Xiaoli has 12 pens and Xiaohong's is 3/4 of that, so Xiaohong has 3/12 * 12 =<gadget id="calculator">12*3/12</gadget><output>3</output> 3 pens. Together they have 12 + 3 =<gadget id="calculator">12+3</gadget><output>15</output> 15 pens. Xiaohua's is 5 less than the combined number, thus, there are 15 - 5 =<gadget id="calculator">15-5</gadget><output>10</output> 10 pens.<result>10</result> |
ape210k__00444842 | The volume of a cone is 126 cubic centimeters, the area of the base is 42 square centimeters, and what is the height in centimeters. | 一个圆锥的体积是126立方厘米，底面积是42平方厘米，高是多少厘米． | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">126 / (1/3) / 42</gadget>
<output>9</output>
<result>9</result> | 9 | 9 | x=126/(1/3)/42 | calcformer-instruct-flan-xl_step-128k | The volume is 126 cubic centimeters, and since a cone has a radius of 3, the height is 3*126=<gadget id="calculator">3*126</gadget><output>378</output> 378 centimeters. Since the area of the base is 42 square centimeters, and 378 cubic centimeters is 378/42 =<gadget id="calculator">378/42</gadget><output>9</output> 9 centimeters.<result>9</result> | The volume of the cone is 126 cubic centimeters, so the volume is 126/3 =<gadget id="calculator">126/3</gadget><output>42</output> 42 cubic centimeters. Since the base of a cone is 42 square centimeters, the height of the cone is 3*42 =<gadget id="calculator">3*42</gadget><output>126</output> 126 centimeters.<result>126</result> |
ape210k__00848305 | 3 thermos bottles are 48 yuan, how much is each thermos bottle. | 3只热水瓶48元，每只热水瓶多少元． | <gadget id="calculator">48 / 3</gadget>
<output>16</output>
<result>16</result> | 16 | 16 | x=48/3 | calcformer-instruct-flan-xl_step-128k | 48/3=<gadget id="calculator">48/3</gadget><output>16</output> 16. Answer is<gadget id="calculator">16</gadget><output>16</output> 16.<result>16</result> | The total cost of the thermos bottle is 48 / 3 =<gadget id="calculator">48/3</gadget><output>16</output> 16 yuan. So the price of each thermos bottle is 16 / 3 =<gadget id="calculator">16/3</gadget><output>16/3 = around 5.333333</output> 5.333333.<result>16/3 = around 5.333333</result> |
ape210k__00683293 | There are 46 students in a certain school who go rowing. They rent 10 boats in total. Each big boat can accommodate 6 people, and each small boat can accommodate 4 people. The last small boat is short of 2 people. So how many big boats are there? | 某校共有46名同学去划船，一共租了10条船，大船每只坐6人，小船每只坐4人，最后一条小船还差2人，那么大船有多少只？ | <gadget id="calculator">4 * 10</gadget>
<output>40</output>
<gadget id="calculator">46 - 40 - 4</gadget>
<output>2</output>
<gadget id="calculator">4 + 2 + 2</gadget>
<output>8</output>
<gadget id="calculator">6 - 4</gadget>
<output>2</output>
<gadget id="calculator">8 / 2</gadget>
<output>4</output>
<result>4</result> | 4 | 4 | x=(4+2+46-4*10-4)/(6-4) | calcformer-instruct-flan-xl_step-128k | The school is short of 4 boats because 46 - 2 =<gadget id="calculator">46-2</gadget><output>44</output> 44. There are 48 people in total because 44 + 4 =<gadget id="calculator">44+4</gadget><output>48</output> 48. There are 8 big boats because 48 / 6 =<gadget id="calculator">48/6</gadget><output>8</output> 8. There are 3 big boats because 8 - 4 =<gadget id="calculator">8-4</gadget><output>4</output> 4.<result>4</result> | The small boat with 2 people short is missing a total of 4-2 =<gadget id="calculator">4-2</gadget><output>2</output> 2 people. The school has 46 students + 2 =<gadget id="calculator">46+2</gadget><output>48</output> 48 students on board. The school has a total of 4 boats + 10 boats =<gadget id="calculator">4+10</gadget><output>14</output> 14 boats. Therefore, the school has 48 boats / 14 boats =<gadget id="calculator">48/14</gadget><output>24/7 = around 3.428571</output> 3.428571 big boats.<result>24/7 = around 3.428571</result> |
ape210k__01173093 | Cut out the largest square from a rectangular cardboard with a length of 8 decimeters and a width of 6 decimeters. What is the area of the remaining figure? | 从一个长8分米、宽6分米的长方形纸板上剪下一个最大的正方形．剩下图形的面积是多少？ | <gadget id="calculator">8 * 6</gadget>
<output>48</output>
<gadget id="calculator">6 * 6</gadget>
<output>36</output>
<gadget id="calculator">48 - 36</gadget>
<output>12</output>
<result>12</result> | 12 | 12 | x=8*6-6*6 | calcformer-instruct-flan-xl_step-128k | The rectangular cardboard can be sliced into two equal areas, which means 8 x 6 =<gadget id="calculator">8*6</gadget><output>48</output> 48 square centimeters and 6 x 6 =<gadget id="calculator">6*6</gadget><output>36</output> 36 square centimeters. The largest square that was cut out of the rectangular cardboard is 6 x 6 =<gadget id="calculator">6*6</gadget><output>36</output> 36 square centimeters. Therefore, the area of the rectangular cardboard which was cut out is 48 - 36 =<gadget id="calculator">48-36</gadget><output>12</output> 12 square centimeters.<result>12</result> | The area of the cardboard when the largest square is cut out is 8*6 =<gadget id="calculator">8*6</gadget><output>48</output> 48 square centimeters. Since the square's area is the square root of the total area of the cardboard, the area of the rectangular cardboard when the square is not cut out is 48-6 =<gadget id="calculator">48-6</gadget><output>42</output> 42 square centimeters.<result>42</result> |
ape210k__00041572 | The area of the trapezoid is 120 square centimeters, the upper base is 8 cm, the lower base is 12 cm, and the height is in cm. | 梯形的面积是120平方厘米，上底是8厘米，下底是12厘米，高是多少厘米． | <gadget id="calculator">8 + 12</gadget>
<output>20</output>
<gadget id="calculator">2 / 20</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">120 * (1/10)</gadget>
<output>12</output>
<result>12</result> | 12 | 12 | x=120*2/(8+12) | calcformer-instruct-flan-xl_step-128k | The height of a trapezoid is two times the area of one half of the base, so the height of the trapezoid is 120 / (1/2) =<gadget id="calculator">120/(1/2)</gadget><output>240</output> 240 cm. If the height of the base is 8 cm and the height of the base is 12 cm, then the total height is 8+12 =<gadget id="calculator">8+12</gadget><output>20</output> 20 cm. So the area of the trapezoid is 120/20=<gadget id="calculator">120/20</gadget><output>6</output> 6 square centimeters. Since the area of a trapezoid is half the height of the base, then half the height of the trapezoid is 2*6=<gadget id="calculator">2*6</gadget><output>12</output> 12 cm.<result>12</result> | The total height of the trapezoid is the height of the two bases plus the height of the middle point, which we can write as 2(8 + 12) =<gadget id="calculator">2*8+2*12</gadget><output>40</output> 40 cm. The area of the trapezoid is 120 centimeters, so the height is 120/40 =<gadget id="calculator">120/40</gadget><output>3</output> 3 cm.<result>3</result> |
ape210k__00598406 | A workshop makes five cylindrical ventilation pipes with a radius of 0.6 meters and a height of 20 meters, and coats them with antirust paint. Calculated on the basis of 0.3 kilograms of antirust paint per square meter, how many kilograms of antirust paint should be used in total? (reserve one decimal place by rounding up) | 某车间制作5个半径为0.6米、高20米的圆柱形通风管，并在它的外表涂上防锈漆．按每平方米用防锈漆0.3千克计算，一共要用防锈漆多少千克？(用进一法保留一位小数) | <result>113.1</result> | 113.1 | 113.1 | x=113.1 | calcformer-instruct-flan-xl_step-128k | First find the area of one of the tubes: 2 * 3.14 * 0.6 * 20 =<gadget id="calculator">2*3.14*0.6*20</gadget><output>75.36</output> 75.36 sq m Then multiply that area by the number of tubes to find the total area of all the tubes: 75.36 * 5 =<gadget id="calculator">75.36*5</gadget><output>376.8</output> 376.8 sq m. Then multiply that area by the number of kilograms of antirust paint per square meter to find the total amount of antirust paint: 376.8 * 0.3 =<gadget id="calculator">376.8*0.3</gadget><output>113.04</output> 113.04 sq m.<result>113.04</result> | First calculate the area of one side of the pipe: 2 * 3.14 * 0.6 * 20 =<gadget id="calculator">2* 3.14 * 0.6 * 20</gadget><output>75.36</output> 75.36 sq.m. Then calculate the total area of the five pipes: 75.36 * 5 =<gadget id="calculator">75.36*5</gadget><output>376.8</output> 376.8 sq.m. Since the workshop uses 0.3 kilograms per sq. meter of antirust paint, it will apply 376.8 / 0.3 =<gadget id="calculator">376.8/0.3</gadget><output>1_256</output> 1256 cubic meters of antirust paint.<result>1_256</result> |
ape210k__00442158 | The farm raises 120 roosters and 180 hens, and the chickens raised are ducks (5/4). How many ducks do you have? | 饲养场养了120只公鸡，180只母鸡，养的鸡是鸭的(5/4)．养鸭多少只？ | <gadget id="calculator">120 + 180</gadget>
<output>300</output>
<gadget id="calculator">5 / 4</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calculator">300 / (5/4)</gadget>
<output>240</output>
<result>240</result> | 240 | 240 | x=(120+180)/(5/4) | calcformer-instruct-flan-xl_step-128k | Let x be the number of ducks. Then 120 + 180 =<gadget id="calculator">120+180</gadget><output>300</output> 300. Thus 300/(5/4) =<gadget id="calculator">300/(5/4)</gadget><output>240</output> 240 ducks.<result>240</result> | Let d be the number of ducks. We know that 120 + 180 =<gadget id="calculator">120+180</gadget><output>300</output> 300. This means that d/4 = 300. Therefore 3*300 =<gadget id="calculator">3*300</gadget><output>900</output> 900 ducks.<result>900</result> |
ape210k__00470836 | Jiajiale Supermarket sold 4 boxes of thermos bottles, each containing 6 thermos bottles, and sold them for a total of 360 yuan. How much is each thermos bottle on average? | 家家乐超市卖出4箱热水瓶，每箱装有6个热水瓶，共卖了360元，平均每个热水瓶多少元？ | <gadget id="calculator">360 / 4 / 6</gadget>
<output>15</output>
<result>15</result> | 15 | 15 | x=360/4/6 | calcformer-instruct-flan-xl_step-128k | If there are 6 bottles in each box, then there are a total of 4*6=<gadget id="calculator">4*6</gadget><output>24</output> 24 bottles. If there are 360 yuan sold in total, then each bottle is sold for 360/24 =<gadget id="calculator">360/24</gadget><output>15</output> 15 yuan.<result>15</result> | If a box contains 6 bottles, then the total number of bottles is 360/4 =<gadget id="calculator">360/4</gadget><output>90</output> 90. Since there are 90 bottles, then each thermos bottle is worth 360/90 =<gadget id="calculator">360/90</gadget><output>4</output> 4 yuan.<result>4</result> |
ape210k__00405826 | Reducing 51.7 to its (1/10) is equal to expanding it to 100 times. | 把51.7缩小到它的(1/10)和把多少扩大到它的100倍后是相等的． | <result>0.0517</result> | 0.0517 | 0.0517 | x=0.0517 | calcformer-instruct-flan-xl_step-128k | 51.7/10 is 0.0517 which is equivalent to 51.7/10000 = 0.0517. This result is the same for 100 times.<result>0.0517</result> | If you are looking to expand this to 100 times, you should be able to do so without much effort as the resulting fraction would be very small. If we take the original decimal and reduce it to its lowest form, we end up with 51.7%. To convert this fraction to its simplest form, we take 51.7% * 10/100 = 51/7/10. If we take this fraction and multiply it with 100, we end up with 51.7 * 10/100. We can now expand this fraction to its lowest form, which is 51.7 * 10/100. This reduces to 51.7/10 = 5.2. The result of this is 51.7/51.7 = 0.517. We now have a common denominator of 10 which is equal to 100. Hence, 0.517 * 100 = 51.7 * 10/100. This reduces to 51.7/51.7 = 0.517.<result>0.517</result> |
ape210k__00266448 | The protein content in milk accounts for about 3.3%, how many grams of protein are contained in 100 grams of milk. | 牛奶中蛋白质的含量约占3.3%，100克牛奶中含蛋白质多少克． | <gadget id="calculator">3.3 / 100</gadget>
<output>0.033</output>
<gadget id="calculator">100 * 0.033</gadget>
<output>3.3</output>
<result>3.3</result> | 3.3 | 3.3 | x=100*3.3% | calcformer-instruct-flan-xl_step-128k | 3.3 % of 100 grams of milk is 3.3/100 x 100 =<gadget id="calculator">3.3/100*100</gadget><output>3.3</output> 3.3 grams. There are 3.3 grams in 100 grams of milk and we need to find how many 3.3 grams are contained in 100 grams of milk. We convert the above calculation to grams by multiplying 100 x 3.3/100 =<gadget id="calculator">100*3.3/100</gadget><output>3.3</output> 3.3 grams of protein.<result>3.3</result> | The protein content of 100 grams of milk is 100*3.03 =<gadget id="calculator">100*3.3</gadget><output>330</output> 330 grams.<result>330</result> |
ape210k__00514044 | The heights of the five basketball players in class one of the third grade are 149 cm, 151 cm, 147 cm, 150 cm, and 148 cm respectively. What is their average height in cm? | 三年级一班5名篮球队员的身高分别是149厘米、151厘米、147厘米、150厘米、148厘米，他们的平均身高是多少厘米？ | <gadget id="calculator">149 + 151 + 147 + 150 + 148</gadget>
<output>745</output>
<gadget id="calculator">745 / 5</gadget>
<output>149</output>
<result>149</result> | 149 | 149 | x=(149+151+147+150+148)/5 | calcformer-instruct-flan-xl_step-128k | The total height of all the players is 149 cm + 151 cm + 147 cm + 150 cm + 148 cm =<gadget id="calculator">149+151+147+150+148</gadget><output>745</output> 745 cm. So the average height of all of them is 745 cm/5 =<gadget id="calculator">745/5</gadget><output>149</output> 149 cm.<result>149</result> | 149 cm + 151 cm + 147 cm + 150 cm + 148 cm =<gadget id="calculator">149+151+147+150+148</gadget><output>745</output> 745 cm/7 =<gadget id="calculator">745/7</gadget><output>745/7 = around 106.428571</output> 106.428571<result>106.428571</result> |
ape210k__00119093 | The diameter of the small circle is 2 cm, the diameter of the large circle is 4 cm, and the circumference of the large circle is how many times the circumference of the small circle. | 小圆的直径是2厘米，大圆的直径为4厘米，大圆的周长是小圆周长的多少倍． | <gadget id="calculator">3.14 * 4</gadget>
<output>12.56</output>
<gadget id="calculator">3.14 * 2</gadget>
<output>6.28</output>
<gadget id="calculator">12.56 / 6.28</gadget>
<output>2</output>
<result>2</result> | 2 | 2 | x=(3.14*4)/(3.14*2) | calcformer-instruct-flan-xl_step-128k | The circumference of a small circle is 2*pi = 2*3.14 =<gadget id="calculator">2*3.14</gadget><output>6.28</output> 6.28 cm. The circumference of a large circle is 3.14*4 =<gadget id="calculator">3.14*4</gadget><output>12.56</output> 12.56 cm. The circumference of the large circle is 12.56/6.28 =<gadget id="calculator">12.56/6.28</gadget><output>2</output> 2 times the circumference of the small circle.<result>2</result> | The circumference of a small circle is 2*pi*r = 2*pi =<gadget id="calculator">2*pi*2</gadget><output>4*pi = around 12.566371</output> 12.56cm. The circumference of a large circle is 2*pi*R = 2*pi*4 = 8*pi =<gadget id="calculator">2*pi*4</gadget><output>8*pi = around 25.132741</output> 25.132741 times the circumference of the small circle.<result>25</result> |
ape210k__00131070 | If the perimeter of a square is 4 cm, what is the length of its side in cm? | 一个正方形的周长是4厘米，它的边长是多少厘米． | <gadget id="calculator">4 / 4</gadget>
<output>1</output>
<result>1</result> | 1 | 1 | x=4/4 | calcformer-instruct-flan-xl_step-128k | 4/4 =<gadget id="calculator">4/4</gadget><output>1</output> 1 cm 1 cm is equal to 1 cm.<result>1</result> | Perimeter of square = 4 cm i.e. 4 / 4 =<gadget id="calculator">4/4</gadget><output>1</output> 1 cm. Since the side of the square is 1 cm, then its side is 1/4 = 1 cm.<result>1/4 = around 0.25</result> |
ape210k__00334065 | The physical education teacher bought back 4 footballs, and he gave the salesperson 84 yuan. Please calculate how much each football is? | 体育老师买回了4个足球，他给售货员84元，请你算一算每个足球多少元？ | <gadget id="calculator">84 / 4</gadget>
<output>21</output>
<result>21</result> | 21 | 21 | x=84/4 | calcformer-instruct-flan-xl_step-128k | If the total amount of money paid to the seller was 84 dollars, each football cost 84/4 =<gadget id="calculator">84/4</gadget><output>21</output> 21 dollars.<result>21</result> | If the footballs were sold at 4 each, then they were sold for a total of 4*84 =<gadget id="calculator">4*84</gadget><output>336</output> 336 dollars. As the total price for one football is $336, then each football is sold for 336/4 =<gadget id="calculator">336/4</gadget><output>84</output> 84 dollars.<result>84</result> |
ape210k__00628171 | A bag of rice is 50 kilograms, after eating (4/5), how many kilograms are left? | 一袋大米50千克，吃了(4/5)，还剩多少千克？ | <gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">1 - (4/5)</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">50 * (1/5)</gadget>
<output>10</output>
<result>10</result> | 10 | 10 | x=50*(1-(4/5)) | calcformer-instruct-flan-xl_step-128k | If 4/5 of the rice is eaten, then 1/5 is left, which is 4/5*50 =<gadget id="calculator">4/5*50</gadget><output>40</output> 40 kilograms. The amount of rice that is left after eating 40 kilograms is 50-40 =<gadget id="calculator">50-40</gadget><output>10</output> 10 kilograms.<result>10</result> | If 4/5 of the rice is eaten, then 1 - 4/5 = 1/5 remains. Since the rice is 50 kilograms, then 1/5 is equal to 50/5 =<gadget id="calculator">50/5</gadget><output>10</output> 10 kilograms. Therefore, 10 kilograms composes 10 / 1/5 kilograms =<gadget id="calculator">10/1/5</gadget><output>2</output> 2 kilograms.<result>2</result> |
ape210k__00400780 | In a ratio, both outer terms are prime numbers, their product is 6, one inner term of this ratio is 4, and what is the other inner term. | 在一个比例里，两个外项都是质数，他们的积是6，这个比例的一个内项是4，另一个内项是多少． | <gadget id="calculator">6 / 4</gadget>
<output>3/2 = around 1.5</output>
<result>3/2 = around 1.5</result> | 3/2 | 1.5 | x=6/4 | calcformer-instruct-flan-xl_step-128k | The product of two prime numbers is 6 so the ratio must be a multiple of 6. The ratio of 4 to 6 is 2*3=<gadget id="calculator">2*3</gadget><output>6</output> 6. This means the other prime number must be 3 since 6/4=<gadget id="calculator">6/4</gadget><output>3/2 = around 1.5</output> 1.5.<result>3/2 = around 1.5</result> | The product of two prime numbers is 6 which means the ratio must be a multiple of 3. Since the ratio is a multiple of 3, the inner term must be a multiple of 3. This means the ratio is 3*2 because 6 divided by 4 equals<gadget id="calculator">6*2</gadget><output>12</output> 12.<result>12</result> |
ape210k__00937915 | TV factory used to produce 106 TVs per day, but now it produces 12 times the original number. How many TVs can it produce every day? | 某电视机厂原来每天生产106台电视机，现在每天生产的台数是原来的12倍，现在每天能生产多少台电视机？ | <gadget id="calculator">106 * 12</gadget>
<output>1_272</output>
<result>1_272</result> | 1_272 | 1,272 | x=106*12 | calcformer-instruct-flan-xl_step-128k | The TV factory now produces 106 * 12 =<gadget id="calculator">106*12</gadget><output>1_272</output> 1272 TVs per day.<result>1_272</result> | Using the formula for the number of TV sets produced every day, we find that 106 * 12 =<gadget id="calculator">106*12</gadget><output>1_272</output> 1272. Dividing each side by 12, we find that the factory can produce 1272 / 12 =<gadget id="calculator">1272/12</gadget><output>106</output> 106 TVs every day.<result>106</result> |
ape210k__00048069 | There is an electronic frog at point A on a straight line. From point A, it jumps 1 unit length to the left, then jumps 3 unit lengths to the right, then jumps 5 unit lengths to the left, and then jumps 7 units to the right. unit length, then jump to the left for 9 unit lengths, and so on, the distance between the frog's 2009th landing point and A is ________ unit lengths. | 在一条直线上的点A处有一只电子青蛙，它从A点开始先向左跳1个单位长度，接着向右跳3个单位长度，然后向左跳5个单位长度，接着向右跳7个单位长度，然后向左跳9个单位长度，如此类推，则青蛙第2009次的落点与A的距离是________个单位长度． | <gadget id="calculator">2 * 2_009</gadget>
<output>4_018</output>
<gadget id="calculator">4_018 - 1</gadget>
<output>4_017</output>
<gadget id="calculator">2_008 / 2</gadget>
<output>1_004</output>
<gadget id="calculator">1_004 * 2</gadget>
<output>2_008</output>
<gadget id="calculator">4_017 - 2_008</gadget>
<output>2_009</output>
<result>2_009</result> | 2_009 | 2,009 | x=(2*2009-1)-((2008/2)*2) | calcformer-instruct-flan-xl_step-128k | The distance between the frog's 2009th landing point and A is thus 2999 + (29*2) = 2998. Note that the distance between the frog's 2009th landing point and A is the square of the number of hops (the frog hops 1 unit, 3 units, 5 units, and so on). 2999 is larger than 3999, so 2998 is smaller than 2998. Thus the distance between the frog's 2009th landing point and A is 2999 - 2(4998) = 2_009 - 2(4998) = 2_009 units.<result>2_009</result> | The distance between the frog's 2009th landing point and A is total distance - # of hops (the frog's overall distance/unit hops is zero) - # of 1 hops (the frog's average distance per hop is 0.5),... # of 8 hops (the frog's average distance is 8 unit lengths),... # of 10 hops (the frog's average distance is 10 unit lengths), etc. Thus, it is 2010 - 2=<gadget id="calculator">2010 - 2</gadget><output>2_008</output> 200009 - 0.5+1=<gadget id="calculator">2_008 - 0.5+1</gadget><output>2_008.5</output> 20008.5 - 0.5=<gadget id="calculator">2_008.5 - 0.5</gadget><output>2_008</output> 20018 units. Answer: A. Because the frog's overall distance is zero, the resulting distance between A and A is 20018 - 0.5=<gadget id="calculator"> 20018 - 0.5</gadget><output>20_017.5</output> 20017.5 units. Answer: A.<result>20_017.5</result> |
ape210k__00515932 | There is a 28-story high-rise building, there are 18 stairs between every two floors of this building, Zhang Xin lives in this building, he has to walk all the stairs (7/9) to his home, then, How many floors must Zhang Xin live in? | 有一幢28层的高楼，这幢楼的每两层之间有18级楼梯，张欣住在这幢楼内，他到自己的家要走全部楼梯级数的(7/9)，那么，张欣一定住在多少层楼． | <gadget id="calculator">28 - 1</gadget>
<output>27</output>
<gadget id="calculator">7 / 9</gadget>
<output>7/9 = around 0.777778</output>
<gadget id="calculator">27 * (7/9)</gadget>
<output>21</output>
<gadget id="calculator">21 + 1</gadget>
<output>22</output>
<result>22</result> | 22 | 22 | x=(28-1)*(7/9)+1 | calcformer-instruct-flan-xl_step-128k | The total number of stairs between every two floors in this building is 28 floors - 1 =<gadget id="calculator">28-1</gadget><output>27</output> 27 floors. If Zhang Xin has to walk all the stairs (7/9) to get to his home, he will have to walk 27 floors * (7/9) =<gadget id="calculator">27*(7/9)</gadget><output>21</output> 21 floors. If Zhang Xin lives in the seventh floor, then he must live in 21 floors + 1 = 22nd floor.<result>22</result> | If there are 28 floors in this building and there are 18 stairs between every two floors, then the total number of stairs is 28*18=<gadget id="calculator">28*18</gadget><output>504</output> 504. If Zhang Xin needs to walk all the stairs (7/9) to his home, then he must live in 504*7/9=<gadget id="calculator">504*7/9</gadget><output>392</output> 392 floors.<result>392</result> |
ape210k__01116955 | Uncle Zhang deposited 2,000 yuan in the bank on January 1 this year. The interest rate is 3.25%. After depositing for one year, after deducting the 20% interest tax, how much can the principal and interest be withdrawn? | 张大伯今年1月1日将2000元存入银行，利率是3.25%，存满1年，扣除20%的利息税后，可取出本息一共多少元？ | <gadget id="calculator">3.25 / 100</gadget>
<output>0.0325</output>
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 - (1/5)</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">2_000 * 0.0325 * (4/5)</gadget>
<output>52</output>
<gadget id="calculator">52 + 2_000</gadget>
<output>2_052</output>
<result>2_052</result> | 2_052 | 2,052 | x=2000*3.25%*(1-20%)+2000 | calcformer-instruct-flan-xl_step-128k | The interest that Uncle Zhang got was $3.25/100 x 2000 yuan = $<gadget id="calculator">3.25/100*2000</gadget><output>65</output> 65. The amount of money that Uncle Zhang withdrew after the tax is $65 x 20/100 = $<gadget id="calculator">65*20/100</gadget><output>13</output> 13. Thus, the total amount withdrawn was 2000 + 65 =<gadget id="calculator">2000+65</gadget><output>2_065</output> 2065.<result>2_065</result> | In one year, Uncle Zhang's interest was 3.25 x 2000 =<gadget id="calculator">3.25*2000</gadget><output>6_500</output> 6500. The amount of his interest after deducting 20% was 6500 x 0.20 =<gadget id="calculator">6650*0.20</gadget><output>1_330</output> 1330. Therefore, Uncle Zhang's principal was 2000 + 1330 =<gadget id="calculator">2000+1330</gadget><output>3_330</output> 3330.<result>3_330</result> |
ape210k__00841373 | The candy store in Hongde Industrial Park has already packed 1/3 of the total candies, and the 24kg candy has just been wrapped. How many kilograms of this batch of candies are in total? | 弘德工业园区糖果店里包装糖果，已经包装了总数的(1/3)，再包装24千克正好包完，这批糖果一共有多少千克？ | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 - (1/3)</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">24 / (2/3)</gadget>
<output>36</output>
<result>36</result> | 36 | 36 | x=24/(1-(1/3)) | calcformer-instruct-flan-xl_step-128k | If 1/3 of the candies have been packed, then 1/2 of the total weight is left, which is 1/2 * 24kg =<gadget id="calculator">1/2*24</gadget><output>12</output> 12kg. Since the store has just been wrapped, the rest of the candy must weigh 24kg + 12kg =<gadget id="calculator">24+12</gadget><output>36</output> 36kg.<result>36</result> | The candy store has already packed 1/3 x 24 kg =<gadget id="calculator">1/3*24</gadget><output>8</output> 8 kg of candies. Hence, the total weight of the candy store is 24 kg + 8 kg =<gadget id="calculator">24+8</gadget><output>32</output> 32 kg.<result>32</result> |
ape210k__00087555 | There are 90 tons of cement in the warehouse. On the first day, (2/3) of the total amount is shipped out, and on the second day, that is equivalent to the first shipment (3/10). How many tons of cement are shipped out in the second time? | 仓库里有90吨水泥，第一天运出总数的(2/3)，第二天运出的相当于第一次运出的(3/10)，第二次运出水泥多少吨？ | <gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">3 / 10</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">90 * (2/3) * (3/10)</gadget>
<output>18</output>
<result>18</result> | 18 | 18 | x=90*(2/3)*(3/10) | calcformer-instruct-flan-xl_step-128k | On the first day, 90 * 2/3 =<gadget id="calculator">90*2/3</gadget><output>60</output> 60 tons of cement were shipped out. On the second day, 60 * 3/10 =<gadget id="calculator">60*3/10</gadget><output>18</output> 18 tons of cement were shipped out.<result>18</result> | On the first day, 90 * (2/3) =<gadget id="calculator">90*(2/3)</gadget><output>60</output> 60 tons of cement were shipped. So, 60 / 10 =<gadget id="calculator">60/10</gadget><output>6</output> 6 tons of cement were shipped out on the second day.<result>6</result> |
ape210k__01082517 | A total of 262 students from the fourth grade of the Experimental Primary School went to Meizhou Island for a spring outing. 178 of them crossed the river in a large boat, and the others crossed the river in three small boats. On average, how many people did each small boat take? | 实验小学四年级有学生262人到湄洲岛春游，有178人乘大船过河，其他人乘三条小船过河，平均每条小船坐多少人？ | <gadget id="calculator">262 - 178</gadget>
<output>84</output>
<gadget id="calculator">84 / 3</gadget>
<output>28</output>
<result>28</result> | 28 | 28 | x=(262-178)/3 | calcformer-instruct-flan-xl_step-128k | There were 262 - 178 =<gadget id="calculator">262-178</gadget><output>84</output> 84 who took the small boat. Therefore, each small boat took 84 / 3 =<gadget id="calculator">84/3</gadget><output>28</output> 28 people.<result>28</result> | There were 262 - 178 =<gadget id="calculator">262-278</gadget><output>-16</output> 16 students left in the small boats. Since each small boat took three people, each small boat took 16 / 3 =<gadget id="calculator">16/3</gadget><output>16/3 = around 5.333333</output> 5.333333.<result>16/3 = around 5.333333</result> |
ape210k__01005741 | The speed of a fighter plane is 39 km/min, how many kilometers does it fly per hour? | 一架歼击机的速度是39千米/分，每小时飞行多少千米？ | <gadget id="calculator">39 * 60</gadget>
<output>2_340</output>
<result>2_340</result> | 2_340 | 2,340 | x=39*60 | calcformer-instruct-flan-xl_step-128k | There are 60 minutes in an hour, so the plane can fly for 60 * 39 =<gadget id="calculator">60*39</gadget><output>2_340</output> 2340 kilometers per hour.<result>2_340</result> | 39 x 60 =<gadget id="calculator">39*60</gadget><output>2_340</output> 2340 km/hr. So, the plane can fly 2340 km/hr =<gadget id="calculator">2340*60</gadget><output>140_400</output> 140,400 km per hour.<result>140_400</result> |
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