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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 |
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 |
ape210k__00325488 | The radius of a circular flower bed is 4 meters. Now it is necessary to expand the flower bed and increase the radius by 1 meter. At this time, how many meters does the floor area of the flower bed increase**2. | 一个圆形花坛的半径是4米,现在要扩建花坛,将半径增加1米,这时花坛的占地面积增加了多少米**2. | <gadget id="calculator">4 + 1</gadget>
<output>5</output>
<gadget id="calculator">5 ** 2</gadget>
<output>25</output>
<gadget id="calculator">3.14 * 25</gadget>
<output>78.5</output>
<gadget id="calculator">4 ** 2</gadget>
<output>16</output>
<gadget id="calculator">3.14 * 16</gadget>
<output>50.24</output>
<gadget id="calculator">78.5 - 50.24</gadget>
<output>28.26</output>
<result>28.26</result> | 28.26 | 28.26 | x=(3.14*(4+1)**2)-(3.14*4**2) |
ape210k__00275625 | The difference and quotient of the two numbers of A and B are both 6. So what is the sum of the two numbers of A and B? (Please use equation and column method to solve the problem respectively) | 甲乙两数的差和商都是6.那么甲乙两数的和是多少?(请分别使用方程和列式方法解题) | <gadget id="calculator">6 - 1</gadget>
<output>5</output>
<gadget id="calculator">6 / 5</gadget>
<output>6/5 = around 1.2</output>
<gadget id="calculator">(6/5) * 6</gadget>
<output>36/5 = around 7.2</output>
<gadget id="calculator">(36/5) + (6/5)</gadget>
<output>42/5 = around 8.4</output>
<result>42/5 = around 8.4</result> | 42/5 | 8.4 | x=6/(6-1)*6+6/(6-1) |
ape210k__00418526 | The original price of a suit is 3,200 yuan. In June, the price was first reduced (1/8) and then increased (1/8). What is the current price of this suit? The original price is high or the current price is high? | 一件西服原价3200元,六月份先降价(1/8),又加价(1/8),这件西服的现价是多少元?原价高还是现价高? | <gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">1 - (1/8)</gadget>
<output>7/8 = around 0.875</output>
<gadget id="calculator">1 + (1/8)</gadget>
<output>9/8 = around 1.125</output>
<gadget id="calculator">3_200 * (7/8) * (9/8)</gadget>
<output>3_150</output>
<result>3_150</result> | 3_150 | 3,150 | x=3200*(1-(1/8))*(1+(1/8)) |
ape210k__00290634 | In class 61, boys accounted for the total number (2/5), and 5 boys were transferred, now boys account for the total number (5/11), how many girls are there? | 六1班原来男生占总数的(2/5),又转来5名男生,现在男生占总数的(5/11),女生有多少人? | <gadget id="calculator">5 / 11</gadget>
<output>5/11 = around 0.454545</output>
<gadget id="calculator">1 - (5/11)</gadget>
<output>6/11 = around 0.545455</output>
<gadget id="calculator">(5/11) / (6/11)</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1 - (2/5)</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">(2/5) / (3/5)</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">(5/6) - (2/3)</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">5 / (1/6)</gadget>
<output>30</output>
<result>30</result> | 30 | 30 | x=5/((5/11)/(1-(5/11))-(2/5)/(1-(2/5))) |
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 |
ape210k__00315774 | There are 75 basketballs and 35 volleyballs in the school. If these balls are divided equally among 5 classes, how many balls will each class get? | 学校有75个篮球,35个排球,把这些球平均分给5个班,每个班分得几个球? | <gadget id="calculator">75 + 35</gadget>
<output>110</output>
<gadget id="calculator">110 / 5</gadget>
<output>22</output>
<result>22</result> | 22 | 22 | x=(75+35)/5 |
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 |
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) |
ape210k__00183401 | There are two steel pipes, the first one is 14.8 meters long and the second one is 10 meters long. How many meters were cut off from each steel pipe? | 有两根钢管,第一根长14.8米,第二根长10米,两根钢管各截去同样长的一段后,第一根剩下的长度是第二根剩下的4倍,则两根钢管各截去了多少米. | <gadget id="calculator">10 * 4</gadget>
<output>40</output>
<gadget id="calculator">40 - 14.8</gadget>
<output>25.2</output>
<gadget id="calculator">4 - 1</gadget>
<output>3</output>
<gadget id="calculator">25.2 / 3</gadget>
<output>8.4</output>
<result>8.4</result> | 8.4 | 8.4 | x=(10*4-14.8)/(4-1) |
ape210k__00323140 | The area of a triangle is 32cm**2, the base is 8cm, and the height is cm. | 一个三角形的面积是32cm**2,底是8cm,高是多少cm. | <gadget id="calculator">2 / 8</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">32 * (1/4)</gadget>
<output>8</output>
<result>8</result> | 8 | 8 | x=32*2/8 |
ape210k__00556808 | 6823-998. | 6823-998. | <gadget id="calculator">6_823 - 998</gadget>
<output>5_825</output>
<result>5_825</result> | 5_825 | 5,825 | x=6823-998 |
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 |
ape210k__00288478 | Grandpa deposited 5,000 yuan in the bank on May 1, 2007, for three years. If the annual interest rate is 3.69%, how much grandpa can withdraw on May 1, 2010? (Interest is taxed at 20%) | 爷爷2007年5月1日把5000元存入银行,定期三年,如果按年利率3.69%计算,到2010年5月1日取出时,爷爷可取出多少钱?(利息按20%纳税) | <result>5_442.5</result> | 5_442.5 | 5,442.5 | x=5442.5 |
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) |
ape210k__00153708 | A boat is approaching, and it takes 6 seconds to pass Xiaohua. After a while, it takes 9 seconds for the boat to catch up with Xiaohua and pass him. If Xiaohua's walking speed is 3.6 per hour km, then how long is the boat in meters? | 一条船迎面开来,从小华身旁开过用了6秒,过了一会儿,该船从后面追上小华从他身旁开过用了9秒,若小华的步行速度是每小时3.6千米,那么这条船长多少米. | <gadget id="calculator">6 + 9</gadget>
<output>15</output>
<gadget id="calculator">9 - 6</gadget>
<output>3</output>
<gadget id="calculator">15 / 3</gadget>
<output>5</output>
<gadget id="calculator">5 + 1</gadget>
<output>6</output>
<gadget id="calculator">6 * 6</gadget>
<output>36</output>
<result>36</result> | 36 | 36 | x=((6+9)/(9-6)+1)*6 |
ape210k__00241812 | A box of beads, take out (1/5) and 4 of the total number for the first time, take out the remaining (1/4) and 3 for the second time, and take out the remaining (1/3) and 2 for the third time, Take out the remaining (1/2) and another one for the fourth time, and there is still one in the box at this time. How many beads were there originally in the box? | 一盒珠子,第一次取出总数的(1/5)又4个,第二次取出余下的(1/4)又3个,第三次取出又余下的(1/3)又2个,第四次取出再余下的(1/2)又1个,这时盒子里还有1个.盒子里原有珠子多少个? | <gadget id="calculator">1 + 1</gadget>
<output>2</output>
<gadget id="calculator">2 * 2</gadget>
<output>4</output>
<gadget id="calculator">4 + 2</gadget>
<output>6</output>
<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">6 / (2/3)</gadget>
<output>9</output>
<gadget id="calculator">9 + 3</gadget>
<output>12</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 - (1/4)</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">12 / (3/4)</gadget>
<output>16</output>
<gadget id="calculator">16 + 4</gadget>
<output>20</output>
<gadget id="calculator">1 / 5</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">20 / (4/5)</gadget>
<output>25</output>
<result>25</result> | 25 | 25 | x=(((((1+1)*2)+2)/(1-(1/3))+3)/(1-(1/((1+1)*2)))+((1+1)*2))/(1-(1/5)) |
ape210k__00163181 | On the drawing with a scale of 1:50000, the distance between two points is 18 cm. What is the actual distance in kilometers between these two points? | 比例尺是1:50000的图纸上,量及两点之间的距离是18厘米,这两点的实际距离是多少千米. | <gadget id="calculator">1 / 50_000</gadget>
<output>1/50_000 = around 0.00002</output>
<gadget id="calculator">18 / (1/50_000) / 100_000</gadget>
<output>9</output>
<result>9</result> | 9 | 9 | x=18/(1/50000)/100000 |
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) |
ape210k__00616943 | There are fewer apple trees than pear trees (3/8), and more pear trees than apple trees ((())/(())). | 苹果树比梨树少(3/8),梨树比苹果树多((())/(())). | <gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">1 - (3/8)</gadget>
<output>5/8 = around 0.625</output>
<gadget id="calculator">(3/8) / (5/8)</gadget>
<output>3/5 = around 0.6</output>
<result>3/5 = around 0.6</result> | 3/5 | 0.6 | x=(3/8)/(1-(3/8)) |
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 |
ape210k__00154281 | number (2/5) plus 23, the sum is 37, what is this number | 一个数的(2/5)加上23,和是37,这个数是多少 | <gadget id="calculator">37 - 23</gadget>
<output>14</output>
<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">14 / (2/5)</gadget>
<output>35</output>
<result>35</result> | 35 | 35 | x=(37-23)/(2/5) |
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 |
ape210k__01000889 | There are 376 ducks raised in the farm, and the number of chickens raised is 258 more than ducks. How many ducks and chickens are raised in this farm? | 养殖场养鸭376只,养鸡的只数比鸭多258只.这个养殖场一共养鸭和鸡多少只? | <gadget id="calculator">376 + 258 + 376</gadget>
<output>1_010</output>
<result>1_010</result> | 1_010 | 1,010 | x=376+258+376 |
ape210k__00309141 | A rectangular dining table is 150 cm long, and its width is 100 cm shorter than its length. What is the perimeter of this rectangular dining table in cm? | 一个长方形餐桌,长150厘米,宽比长短100厘米,这个长方形餐桌的周长是多少厘米? | <gadget id="calculator">150 - 100</gadget>
<output>50</output>
<gadget id="calculator">150 + 50</gadget>
<output>200</output>
<gadget id="calculator">200 * 2</gadget>
<output>400</output>
<result>400</result> | 400 | 400 | x=(150+(150-100))*2 |
ape210k__00153027 | There are 50 athletes in the third grade to participate in the school long-distance running competition, and the numbers are arranged from 1 to 50. How many "1"s appear in these numbers? | 三年级有50名运动员参加学校长跑比赛,号码排列是1到50.这些号码中共出现多少个"1". | <gadget id="calculator">1 / 1</gadget>
<output>1</output>
<gadget id="calculator">1 + 1 + 2 + 8 + 3</gadget>
<output>15</output>
<result>15</result> | 15 | 15 | x=1/1+1/1+2+8+3 |
ape210k__00618666 | The length of a rectangular vegetable field is 120m, the length is more than the width (2/3), how many meters is the width of this vegetable field? | 一个长方形菜地的长是120m,长比宽多(2/3),这块菜地的宽是多少米? | <gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">1 + (2/3)</gadget>
<output>5/3 = around 1.666667</output>
<gadget id="calculator">120 / (5/3)</gadget>
<output>72</output>
<result>72</result> | 72 | 72 | x=120/(1+(2/3)) |
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 |
ape210k__00884205 | A car travels at a speed of 60 km/h, and the distance between A and B is 180 km. How long does it take to drive from A to B? | 一辆汽车的行驶速度为60千米/时,甲乙两地的距离是180千米,从甲地开往乙地需要几时? | <gadget id="calculator">180 / 60</gadget>
<output>3</output>
<result>3</result> | 3 | 3 | x=180/60 |
ape210k__00441344 | Xiaoli reads a 240-page story book. She reads (1/8) of the whole book on the first day and (1/5) of the whole book on the second day. How many pages did she read in total in two days? | 小丽看一本240页的故事书,第一天看了全书的(1/8),第二天看了全书的(1/5),两天一共看了多少页? | <gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/8) + (1/5)</gadget>
<output>13/40 = around 0.325</output>
<gadget id="calculator">240 * (13/40)</gadget>
<output>78</output>
<result>78</result> | 78 | 78 | x=240*((1/8)+(1/5)) |
ape210k__00463941 | There is a rectangular parallelepiped eraser, and it is cut into 2 pieces on average to get 2 cubes with a side length of 8 cm. At this point, the surface area increased by what percentage? | 有一块长方体橡皮,把它平均切成2块,正好得到2个棱长为8厘米的正方体.此时,表面积比原来增加了百分之几? | <gadget id="calculator">8 * 8 * 2</gadget>
<output>128</output>
<gadget id="calculator">8 * 8 * 6 * 2</gadget>
<output>768</output>
<gadget id="calculator">768 - 128</gadget>
<output>640</output>
<gadget id="calculator">128 / 640</gadget>
<output>1/5 = around 0.2</output>
<result>1/5 = around 0.2</result> | 1/5 | 0.2 | x=(8*8*2)/(8*8*6*2-8*8*2) |
ape210k__00424267 | Because 38*235=8930, so 0.38*2.35=how much | 因为38*235=8930,所以0.38*2.35=多少 | <gadget id="calculator">0.38 * 2.35</gadget>
<output>0.893</output>
<result>0.893</result> | 0.893 | 0.893 | x=0.38*2.35 |
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) |
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% |
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)) |
ape210k__00220380 | Chickens and rabbits are in the same cage, with a total of 274 feet. It is known that there are 23 more chickens than rabbits, how many chickens are there? | 鸡兔同笼,共有274只脚.已知鸡比兔多23只,则鸡有多少只. | <gadget id="calculator">23 * 4</gadget>
<output>92</output>
<gadget id="calculator">92 + 274</gadget>
<output>366</output>
<gadget id="calculator">2 + 4</gadget>
<output>6</output>
<gadget id="calculator">366 / 6</gadget>
<output>61</output>
<result>61</result> | 61 | 61 | x=(23*4+274)/(2+4) |
ape210k__00706331 | □The quotient of 641/62 is three digits, how much can be filled in □ | □641/62的商是三位数,□里可以填多少 | <result>7</result> | 7 | 7 | x=7 |
ape210k__00069981 | Two carts of radishes are shipped from the vegetable station. The first cart weighs 3500 kg. It is known that (1/7) of the weight of the first cart is equal to (1/5) of the second cart. If the two carts are divided into 125 In the basket, how many kilograms are contained in each basket on average? | 菜站运来两车萝卜,第一车有3500千克,已知第一车萝卜的重量的(1/7)等于第二车的(1/5),如果把这两车萝卜分装在125筐里,平均每筐装多少千克? | <gadget id="calculator">1 / 7</gadget>
<output>1/7 = around 0.142857</output>
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/7) / (1/5)</gadget>
<output>5/7 = around 0.714286</output>
<gadget id="calculator">3_500 * (5/7)</gadget>
<output>2_500</output>
<gadget id="calculator">3_500 + 2_500</gadget>
<output>6_000</output>
<gadget id="calculator">6_000 / 125</gadget>
<output>48</output>
<result>48</result> | 48 | 48 | x=(3500+3500*(1/7)/(1/5))/125 |
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 |
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 |
ape210k__00163745 | The library distributes 850 books to each grade, with 105 books distributed to each grade from grades one to five, and the rest distributed to grades six. How many books are assigned to the sixth grade? | 图书室把850本图书分给各个年级,一至五年级每个年级分得105本,其余的分给六年级.六年级分得多少本图书? | <gadget id="calculator">105 * 5</gadget>
<output>525</output>
<gadget id="calculator">850 - 525</gadget>
<output>325</output>
<result>325</result> | 325 | 325 | x=850-105*5 |
ape210k__00678827 | Sometimes soaking seeds in salt water can promote a good harvest of crops. According to the mass ratio of salt and water is 3:100 preparation of brine. How many kilograms of salt is needed for a sub-station to prepare 618kg of this brine? | 有时用盐水浸种可以促进农作物丰收.按盐与水的质量比是3:100配制盐水.某种子站要配制618kg这种盐水,需要食盐多少千克? | <gadget id="calculator">3 + 100</gadget>
<output>103</output>
<gadget id="calculator">618 / 103</gadget>
<output>6</output>
<gadget id="calculator">6 * 3</gadget>
<output>18</output>
<result>18</result> | 18 | 18 | x=618/(3+100)*3 |
ape210k__00602644 | There is a sunflower field in the shape of a parallelogram. The known height is 28 meters, and the base is 8 meters more than twice the height. What is the area of the sunflower field in square meters? | 有一块平行四边形的向日葵地,已知高是28米,底比高的2倍还多8米,这块向日葵地的面积是多少平方米? | <gadget id="calculator">28 * 2</gadget>
<output>56</output>
<gadget id="calculator">56 + 8</gadget>
<output>64</output>
<gadget id="calculator">64 * 28</gadget>
<output>1_792</output>
<result>1_792</result> | 1_792 | 1,792 | x=(28*2+8)*28 |
ape210k__00584425 | novel has 336 pages in total. Xiao Ming plans to finish it in 8 days. How many pages does he read on average every day? | 一本小说共336页,小明准备8天看完,他平均每天要看多少页? | <gadget id="calculator">336 / 8</gadget>
<output>42</output>
<result>42</result> | 42 | 42 | x=336/8 |
ape210k__00499299 | A wire can enclose a square with a side length of 9 cm. If it is changed to enclose an equilateral triangle, how many centimeters is the side length of the equilateral triangle? | 一根铁丝可以围成一个边长为9厘米的正方形,如果改围一个等边三角形,那么等边三角形的边长是多少厘米? | <gadget id="calculator">9 / 3</gadget>
<output>3</output>
<gadget id="calculator">4 * 3</gadget>
<output>12</output>
<result>12</result> | 12 | 12 | x=4*9/3 |
ape210k__00131148 | Divide the bottom surface of a cylinder with a height of 5 cm into several equal parts, cut the cylinder and assemble it into an approximate cuboid. The surface area of the cuboid is 20 square centimeters larger than that of the cylinder. Find the volume of the original cylinder. | 把高5厘米的圆柱底面分成若干等份,把圆柱切开拼成一个近似的长方体,长方体表面积比圆柱增加20平方厘米.求原来圆柱的体积. | <gadget id="calculator">20 / 2 / 5</gadget>
<output>2</output>
<gadget id="calculator">2 ** 2</gadget>
<output>4</output>
<gadget id="calculator">3.14 * 4 * 5</gadget>
<output>62.8</output>
<result>62.8</result> | 62.8 | 62.8 | x=3.14*(20/2/5)**(20/2/5)*5 |
ape210k__00706687 | Five dragonflies ate a total of 960 mosquitoes in 8 days. How many mosquitoes did each dragonfly eat per day? | 5只蜻蜓8天共吃掉蚊子960只,平均每只蜻蜓每天吃掉蚊子多少只? | <gadget id="calculator">960 / 8 / 5</gadget>
<output>24</output>
<result>24</result> | 24 | 24 | x=960/8/5 |
ape210k__00717001 | The sum of two numbers is 480, one of the addends is 120, and the other is what is the addend. | 两个数的和是480,其中一个加数是120,另一个加数是多少. | <gadget id="calculator">480 - 120</gadget>
<output>360</output>
<result>360</result> | 360 | 360 | x=480-120 |
ape210k__00131626 | A semicircular flower bed has a radius of 5 cm, what is its circumference in m? | 一个半圆形花坛,它的半径是5cm,它的周长是多少m? | <gadget id="calculator">2 / 2</gadget>
<output>1</output>
<gadget id="calculator">3.14 * 5 * 1</gadget>
<output>15.7</output>
<gadget id="calculator">5 * 2</gadget>
<output>10</output>
<gadget id="calculator">15.7 + 10</gadget>
<output>25.7</output>
<result>25.7</result> | 25.7 | 25.7 | x=3.14*5*2/2+5*2 |
ape210k__00101885 | The London Olympic Organizing Committee announced that the 30th Summer Olympic Games in 2012 will open on July 27, 2012 local time, and close on August 12, 2012. How many days did the Olympic Games last? How many | 伦敦奥组委宣布2012年第30届夏季奥运会将于当地时间2012年7月27日开幕,闭幕时间为2012年8月12日.本届奥运会开了多少天?多少 | <gadget id="calculator">31 - 27</gadget>
<output>4</output>
<gadget id="calculator">4 + 1 + 12</gadget>
<output>17</output>
<result>17</result> | 17 | 17 | x=31-27+1+12 |
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) |
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 |
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) |
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) |
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 |
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) |
ape210k__01159633 | group of pigeons will fly back to 8 pigeon cages, and there will always be at least 4 pigeons in one of the pigeon cages. How many pigeons are there at least in this batch? | 一批鸽子要飞回8个鸽笼,总有一个鸽笼里至少飞进4只鸽子.这批鸽子至少有多少只? | <gadget id="calculator">3 * 8</gadget>
<output>24</output>
<gadget id="calculator">24 + 1</gadget>
<output>25</output>
<result>25</result> | 25 | 25 | x=3*8+1 |
ape210k__00430078 | The product of two factors is 7, one of which is 2.8 and what is the other. | 两个因数的积是7,其中一个因数是2.8,另一个因数是多少. | <gadget id="calculator">7 / 2.8</gadget>
<output>2.5</output>
<result>2.5</result> | 2.5 | 2.5 | x=7/2.8 |
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 |
ape210k__00202457 | The school held a chorus of male and female students to celebrate "June 1". It was originally planned that the number of girls in the chorus team would account for 60% of the total number of choir members. Later, considering the effect of the chorus, 5 boys will be added. At this time, the ratio of girls to boys is 6. : 5. How many boys are there in the chorus? | 学校举行庆"六一"男女生大合唱,原计划合唱队中女生人数占合唱队总人数的60%,后来考虑到合唱效果,将增加了5名男生,这时女生与男生人数的比是6:5.合唱队原有男生多少名? | <gadget id="calculator">5 / 6</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">60 / 100</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">1 - (3/5)</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">(2/5) / (3/5)</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">(5/6) - (2/3)</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">5 / (1/6)</gadget>
<output>30</output>
<gadget id="calculator">30 * (2/3)</gadget>
<output>20</output>
<result>20</result> | 20 | 20 | x=5/((5/6)-(1-60%)/60%)*(1-60%)/60% |
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) |
ape210k__00577115 | Calculation: (5/6)-(3/4)+(2/3). | 计算:(5/6)-(3/4)+(2/3). | <gadget id="calculator">5 / 6</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">(5/6) - (3/4)</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">(1/12) + (2/3)</gadget>
<output>3/4 = around 0.75</output>
<result>3/4 = around 0.75</result> | 3/4 | 0.75 | x=(5/6)-(3/4)+(2/3) |
ape210k__00103723 | Use the nine numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9 to form the smallest nine-digit number divisible by 11. What is the nine-digit number? | 用1、2、3、4、5、6、7、8、9这9个数字排成一个最小的能被11整除的九位数,这个九位数是多少. | <result>123_475_869</result> | 123_475_869 | 123,475,869 | x=123475869 |
ape210k__01136327 | It takes 15 seconds for a train to pass through a 350-meter-long bridge, and 20 seconds to pass through a 550-meter-long tunnel. What is the speed of the train? | 一列火车经过一座长350米的大桥用时15秒,经过一座长550米的隧道用时20秒,那么火车的车速是多少? | <gadget id="calculator">550 - 350</gadget>
<output>200</output>
<gadget id="calculator">20 - 15</gadget>
<output>5</output>
<gadget id="calculator">200 / 5</gadget>
<output>40</output>
<result>40</result> | 40 | 40 | x=(550-350)/(20-15) |
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) |
ape210k__01184195 | Move the decimal point of 7085.6 to the left of the highest digit, and it will shrink to the original number. | 把7085.6的小数点移动到最高位的左边,它就缩小到原数的多少. | <gadget id="calculator">1 / 10_000</gadget>
<output>1/10_000 = around 0.0001</output>
<result>1/10_000 = around 0.0001</result> | 1/10_000 | 0.0001 | x=(1/10000) |
ape210k__00172245 | A hemispherical container with a radius of 3 cm is filled with water, and poured into a conical container with a bottom radius of 3 cm, just enough to fill the conical container. Find the height of the conical container. | 将一个半径是3厘米的半球形容器装满水,倒入一个底面半径也是3厘米的圆锥形容器中,刚好装满圆锥形容器,求这个圆锥形容器的高. | <result>6</result> | 6 | 6 | x=6 |
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 |
ape210k__00314462 | The master worker has been working continuously for 11 hours to repair a 360-meter railway. In order to encourage everyone, the commander shouted loudly, "Comrades, let's repair another 20 meters, and the repaired part is as much as the rest." Students Do the math, how many meters have been repaired now? | 抢修一条360米的铁路,工人师傅已连续工作了11个小时,指挥长为了鼓励大家,大声喊道"同志们我们再修20米,已修的和剩下的就一样多了",同学们算一算,现在已修了多少米? | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">360 * (1/2)</gadget>
<output>180</output>
<gadget id="calculator">180 - 20</gadget>
<output>160</output>
<result>160</result> | 160 | 160 | x=360*(1/2)-20 |
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)) |
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 |
ape210k__00263004 | There are 168 poplar trees in the botanical garden, which is 4 times that of pine trees. How many pine trees are there? What is the column | 植物园有杨树168棵,是松树的4倍,有多少棵松树?列式是多少 | <gadget id="calculator">168 / 4</gadget>
<output>42</output>
<result>42</result> | 42 | 42 | x=168/4 |
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 |
ape210k__00610011 | Two two-digit natural numbers, their greatest common factor is 6, and their least common multiple is 90, what is the sum of these two numbers? | 两个两位自然数,它们的最大公因数是6,最小公倍数是90,这两个数的和是多少. | <gadget id="calculator">2 * 3 * 3</gadget>
<output>18</output>
<gadget id="calculator">2 * 3 * 5</gadget>
<output>30</output>
<gadget id="calculator">18 + 30</gadget>
<output>48</output>
<result>48</result> | 48 | 48 | x=(2*3*3)+(2*3*5) |
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 |
ape210k__00687309 | The circumference of a circle is 62.8 decimeters, if its diameter is reduced by 4 decimeters, the area of the circle will be reduced by how many square decimeters. | 一个圆的周长是62.8分米,如果它的直径减少4分米,圆的面积就减少多少平方分米. | <gadget id="calculator">62.8 / 3.14</gadget>
<output>20</output>
<gadget id="calculator">20 / 2</gadget>
<output>10</output>
<gadget id="calculator">10 ** 2</gadget>
<output>100</output>
<gadget id="calculator">3.14 * 100</gadget>
<output>314</output>
<gadget id="calculator">20 - 4</gadget>
<output>16</output>
<gadget id="calculator">16 / 2</gadget>
<output>8</output>
<gadget id="calculator">8 ** 2</gadget>
<output>64</output>
<gadget id="calculator">3.14 * 64</gadget>
<output>200.96</output>
<gadget id="calculator">314 - 200.96</gadget>
<output>113.04</output>
<result>113.04</result> | 113.04 | 113.04 | x=3.14*((62.8/3.14)/2)**2-3.14*(((62.8/3.14)-4)/2)**2 |
ape210k__00185519 | When a number is divided by a single digit, the quotient is 50 and the maximum remainder is 6. What is this number? | 一个数除以一位数,商是50,余数最大是6,这个数是多少 | <gadget id="calculator">6 + 1</gadget>
<output>7</output>
<gadget id="calculator">50 * 7</gadget>
<output>350</output>
<gadget id="calculator">350 + 6</gadget>
<output>356</output>
<result>356</result> | 356 | 356 | x=50*(6+1)+6 |
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) |
ape210k__00276453 | Now there is a batch of books distributed to Class 2, Grade 6. If there are 4 books per person, there will be 17 more books, and if there are 5 books per person, there will be 33 books less. How many books are there in this batch? | 现在有一批书发给六年级2班,如果每人4本则多17本,如果每人5本则少33本,那么这批书共多少本? | <gadget id="calculator">33 + 17</gadget>
<output>50</output>
<gadget id="calculator">5 - 4</gadget>
<output>1</output>
<gadget id="calculator">50 / 1</gadget>
<output>50</output>
<gadget id="calculator">50 * 4</gadget>
<output>200</output>
<gadget id="calculator">200 + 17</gadget>
<output>217</output>
<result>217</result> | 217 | 217 | x=((33+17)/(5-4))*4+17 |
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 |
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)) |
ape210k__00819893 | When Zhang Bin was doing the calculation problem (1800-M)/25+192, he did not pay attention to the parentheses in the problem. First, he divided M by 25, and then did the subtraction and addition. The result was 1968. What should be the correct answer for this question? | 张彬在做计算题(1800-M)/25+192时,没有注意题里的括号,先用M除以25,再算减法和加法,得到结果是1968.这道题的正确结果应该是多少? | <gadget id="calculator">1_968 - 192</gadget>
<output>1_776</output>
<gadget id="calculator">1_800 - 1_776</gadget>
<output>24</output>
<gadget id="calculator">24 * 25</gadget>
<output>600</output>
<gadget id="calculator">1_800 - 600</gadget>
<output>1_200</output>
<gadget id="calculator">1_200 / 25</gadget>
<output>48</output>
<gadget id="calculator">48 + 192</gadget>
<output>240</output>
<result>240</result> | 240 | 240 | x=(1800-((1800-(1968-192))*25))/25+192 |
ape210k__00504364 | There are 53 students in a class, including 27 boys, what percentage of the boys are girls? | 某班共53人,其中男生有27人,女生占男生的几分之几? | <gadget id="calculator">53 - 27</gadget>
<output>26</output>
<gadget id="calculator">26 / 27</gadget>
<output>26/27 = around 0.962963</output>
<result>26/27 = around 0.962963</result> | 26/27 | 0.962963 | x=(53-27)/27 |
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)) |
ape210k__00935157 | The school bought a batch of books, 25% of which were allocated to the lower grades, and the rest were allocated to the middle and upper grades at a ratio of 7:8. It is known that the lower grades have 45 fewer books than the upper grades, how many books did the school buy in total? (solution by equation) | 学校买了一批图书,其中25%分配给低年级,其余的按7:8分配给中高年级.已知低年级比高年级少45本,学校一共买图书多少本?(用方程解) | <gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">8 / 15</gadget>
<output>8/15 = around 0.533333</output>
<gadget id="calculator">(3/4) * (8/15)</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(2/5) - (1/4)</gadget>
<output>3/20 = around 0.15</output>
<gadget id="calculator">45 / (3/20)</gadget>
<output>300</output>
<result>300</result> | 300 | 300 | x=45/(3/4*8/15-1/4) |
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) |
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 |
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)) |
ape210k__00573129 | 50 students from Class 5, Class 1 of a certain school take a group photo in the photo studio, and they need to pay 19.85 yuan for 6 photos. If you want to print more, you need to pay 1.60 yuan for each copy. Now everyone in the class needs one copy. How much will you pay in total? | 某校五1班50个同学到照相馆合影,需付19.85元,给6张照片.如果再要加印,每张要付1.60元,现全班每人都要一张,一共需付多少元? | <result>81.2</result> | 81.2 | 81.2 | x=81.2 |
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 |
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%) |
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 |
ape210k__01052443 | If x-0.25=1.5, then x-0.3=how much. | 如果x-0.25=1.5,那么x-0.3=多少. | <gadget id="calculator">1.5 + 0.25</gadget>
<output>1.75</output>
<gadget id="calculator">1.75 - 0.3</gadget>
<output>1.45</output>
<result>1.45</result> | 1.45 | 1.45 | x=(1.5+0.25)-0.3 |
ape210k__00193269 | From the six cards marked 1, 2, 3, 4, 5, 6 on the top, draw one at random, and the possibility of drawing a card that is smaller than the number is the greatest. | 从上面标有1,2,3,4,5,6的六张牌中,任意抽出一张,摸到的牌比多少小的可能性最大. | <result>6</result> | 6 | 6 | x=6 |
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)) |
ape210k__00971043 | There is a barrel of oil, 30% of the full barrel is poured out for the first time, and 2 kg more than the first time is poured out for the second time, and there is still 6 kg in the barrel. How many kilograms of oil is in the barrel? | 有一桶油,第一次倒出全桶的30%,第二次比第一次多倒出2千克,桶里还剩6千克,这桶油原来有多少千克? | <gadget id="calculator">6 + 2</gadget>
<output>8</output>
<gadget id="calculator">30 / 100</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">1 - (3/10) - (3/10)</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">8 / (2/5)</gadget>
<output>20</output>
<result>20</result> | 20 | 20 | x=(6+2)/(1-30%-30%) |
ape210k__00896715 | Yongchang Fitness Plaza has a circular flower bed with a diameter of 6 meters. Now it is planned to widen it by 1 meter. How much larger is the area of this flower bed than before? | 永昌健身广场有一个直径6米的圆形花坛,现在计划在它周围拓宽1米,现在这个花坛的面积比原来大多少? | <gadget id="calculator">6 / 2</gadget>
<output>3</output>
<gadget id="calculator">3 + 1</gadget>
<output>4</output>
<gadget id="calculator">4 ** 2</gadget>
<output>16</output>
<gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">16 - 9</gadget>
<output>7</output>
<gadget id="calculator">3.14 * 7</gadget>
<output>21.98</output>
<result>21.98</result> | 21.98 | 21.98 | x=3.14*(((6/2)+1)**2-(6/2)**2) |
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) |
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 |
Dataset Card for Calc-ape210k
Summary
This dataset is an instance of Ape210K dataset, converted to a simple HTML-like language that can be easily parsed (e.g. by BeautifulSoup). The data contains 3 types of tags:
- gadget: A tag whose content is intended to be evaluated by calling an external tool (sympy-based calculator in this case)
- output: An output of the external tool
- result: The final answer to the mathematical problem (a number)
Supported Tasks
The dataset is intended for training Chain-of-Thought reasoning models able to use external tools to enhance the factuality of their responses. This dataset presents in-context scenarios where models can outsource the computations in the reasoning chain to a calculator.
Construction Process
First, we translated the questions into English using Google Translate. Next, we parsed the equations and the results. We linearized
the equations into a sequence of elementary steps and evaluated them using a sympy-based calculator. We numerically compare the output
with the result in the data and remove all examples where they do not match (less than 3% loss in each split). Finally, we save the
chain of steps in the HTML-like language in the chain
column. We keep the original columns in the dataset for convenience. We also perform
in-dataset and cross-dataset data-leak detection within Calc-X collection.
Specifically for Ape210k, we removed parts of the validation and test split, with around 1700 remaining in each.
You can read more information about this process in our Calc-X paper.
Data splits
The default config contains filtered splits with data leaks removed. You can load it using:
datasets.load_dataset("MU-NLPC/calc-ape210k")
In the original-splits
config, the data splits are unfiltered and correspond to the original Ape210K dataset. See ape210k dataset github and the paper for more info.
You can load it using:
datasets.load_dataset("MU-NLPC/calc-ape210k", "original-splits")
Attributes
- id - id of the example
- question - the description of the math problem. Automatically translated from the
question_chinese
column into English using Google Translate - question_chinese - the original description of the math problem in Chinese
- chain - linearized
equation
, sequence of arithmetic steps in HTML-like language that can be evaluated using our sympy-based calculator - result - result as a string (can be an integer, float, or a fraction)
- result_float - result, converted to a float
- equation - a nested expression that evaluates to the correct answer
Attributes id, question, chain, and result are present in all datasets in Calc-X collection.
Related work
This dataset was created as a part of a larger effort in training models capable of using a calculator during inference, which we call Calcformers.
- Calc-X collection - datasets for training Calcformers
- Calcformers collection - calculator-using models we trained and published on HF
- Calc-X and Calcformers paper
- Calc-X and Calcformers repo
Here are links to the original dataset:
Licence
MIT, consistently with the original dataset.
Cite
If you use this version of the dataset in research, please cite the original Ape210k paper, and the Calc-X paper as follows:
@inproceedings{kadlcik-etal-2023-soft,
title = "Calc-X and Calcformers: Empowering Arithmetical Chain-of-Thought through Interaction with Symbolic Systems",
author = "Marek Kadlčík and Michal Štefánik and Ondřej Sotolář and Vlastimil Martinek",
booktitle = "Proceedings of the The 2023 Conference on Empirical Methods in Natural Language Processing: Main track",
month = dec,
year = "2023",
address = "Singapore, Singapore",
publisher = "Association for Computational Linguistics",
url = "https://arxiv.org/abs/2305.15017",
}
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