id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
ape210k__00488528 | Wang Gang's family bought a suite and paid a 1.5% deed tax, totaling 812,000 yuan. How much is this suite worth? | <gadget id="calculator">1.5 / 100</gadget>
<output>0.015</output>
<gadget id="calculator">1 + 0.015</gadget>
<output>1.015</output>
<gadget id="calculator">81.2 / 1.015</gadget>
<output>80</output>
<result>80</result> | 80 | calc |
ape210k__00130406 | The road between A and B is 150 km long. A car drives from city A to city B, and travels the whole journey (3/5), how many kilometers away is it from city B? | <gadget id="calculator">3 / 5</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">150 * (2/5)</gadget>
<output>60</output>
<result>60</result> | 60 | calc |
gsm8k__SxlgBeqrCpcWcEsX | Darry is a roofer and has to climb ladders multiple times a day. He climbs his full ladder, which has 11 steps, 10 times today. He also climbs his smaller ladder, which has 6 steps, 7 times today. He did not climb any steps otherwise. In total, how many times has Darry climbed a step today? | Climbing the full ladder means Darry has climbed 11 steps * 10 times =
<gadget id="calculator">11*10</gadget>
<output>110</output>
110 steps so far.
On his smaller ladder, he has climbed 6 steps * 7 times =
<gadget id="calculator">6*7</gadget>
<output>42</output>
42 steps.
So he has climbed a step a total of 110 + 42... | 152 | calc |
aqua_rat__sGdT7sEVsJG8LzPm | There are two groups of students in the sixth grade. There are 45 students in group A, and 55 students in group B. If, on a particular day, 20% of the students in group A forget their homework, and 40% of the students in group B forget their homework, then what percentage of the sixth graders forgot their homework? Ch... | Number of students in group A = 45 students who forget homework in group A = 20 % of 45 = 9 students Number of students in group B = 55 students who forget homework in group B = 40 % of 55 = 22 students Total number of students = 45 + 55=
<gadget id="calculator">45 + 55</gadget>
<output>100</output>
100 stud... | D | calc |
ape210k__00993593 | One iron wire uses 52 meters, and another 9 meters is used. At this time, the share (3/4) of this iron wire is 1 meter more. How long is this iron wire? | <gadget id="calculator">9 - 1</gadget>
<output>8</output>
<gadget id="calculator">52 + 8</gadget>
<output>60</output>
<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">60 / (3/4)</gadget>
<output>80</output>
<result>80</result> | 80 | calc |
math_qa__EPuiN57YVrCAXExt | An engine moves at the speed of 60 kmph without any coaches attached to it.Speed of the train reduces at the rate that varies directly as the square root of the number of coaches attached.When 9 coaches are attached speed decreases to 48 kmph.What will be the speed of train when 25 coaches are attached.
Select the corr... | <gadget id="calculator">25 ** (1/2)</gadget>
<output>5</output>
<gadget id="calculator">60 - 48</gadget>
<output>12</output>
<gadget id="calculator">9 ** (1/2)</gadget>
<output>3</output>
<gadget id="calculator">12 / 3</gadget>
<output>4</output>
<gadget id="calculator">5 * 4</gadget>
<output>20</output>
<gadget i... | C | calc |
aqua_rat__iZ9Tvj1rQjWV0N6X | The length of a side of a hexagon is 5 inches. What is the perimeter?
Choose the correct choice from the following answers: A) 116 B) 25 C) 30 D) 24 E) 15 | Hexagon. It means 6 equal sides. p = 5 + 5 + 5 + 5 + 5 + 5 = 10+ 10 + 10=
<gadget id="calculator">10+ 10 + 10</gadget>
<output>30</output>
30 inches Answer 30
<result>C</result> | C | calc |
gsm8k__43j6WQvCkN3nUyFK | A clerk can process 25 forms per hour. If 2400 forms must be processed in an 8-hour day, how many clerks must you hire for that day? | One clerk can process 25 x 8 =
<gadget id="calculator">25*8</gadget>
<output>200</output>
200 forms in a day.
To process the forms for that day 2400/200 =
<gadget id="calculator">2400/200</gadget>
<output>12</output>
12 clerks must be hired.
<result>12</result> | 12 | calc |
ape210k__00787595 | A cuboid glass fish tank is 50 cm long, 40 cm wide, and 30 cm high. Fill the fish tank with 36 liters of water, how many centimeters is the water depth? (Glass thickness is not counted) | <gadget id="calculator">50 * 40</gadget>
<output>2_000</output>
<gadget id="calculator">1_000 / 2_000</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">36 * (1/2)</gadget>
<output>18</output>
<result>18</result> | 18 | calc |
gsm8k__oG1qH7rbmolfvFbE | Jerome bought 5 new toy cars last month. This month he bought twice as many so that he has 40 toy cars now. How many toy cars did Jerome have originally? | Jerome bought 5 x 2 =
<gadget id="calculator">5*2</gadget>
<output>10</output>
10 toy cars this month.
So he bought a total of 5 + 10 =
<gadget id="calculator">5+10</gadget>
<output>15</output>
15 toy cars.
Therefore, Jerome had 40 - 15 =
<gadget id="calculator">40-15</gadget>
<output>25</output>
25 toy cars origina... | 25 | calc |
ape210k__00068958 | Yuanyuan is 10 years old this year, and she is 28 years younger than her father. What is the age of the father and daughter two years later? | <gadget id="calculator">10 + 2</gadget>
<output>12</output>
<gadget id="calculator">12 + 28</gadget>
<output>40</output>
<gadget id="calculator">12 + 40</gadget>
<output>52</output>
<result>52</result> | 52 | calc |
ape210k__00950415 | There is an iron wire, 20 meters are used for the first time, and the remaining (1/6) is used for the second time, and finally (1/3) of the full length is left unused. How long is this iron wire in meters? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">1 - (1/6)</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">(1/3) / (5/6)</gadget>
<output>2/5 = around 0.4</output... | 100/3 | calc |
ape210k__00548651 | If the sum of the sides of a cuboid is 48 cm, the length is 5 cm, and the width is 4 cm, what is the height in cm? | <gadget id="calculator">48 / 4</gadget>
<output>12</output>
<gadget id="calculator">5 + 4</gadget>
<output>9</output>
<gadget id="calculator">12 - 9</gadget>
<output>3</output>
<result>3</result> | 3 | calc |
ape210k__00037882 | A circular pond, its circumference is 31.4 meters, find its area. | <gadget id="calculator">31.4 / 3.14 / 2</gadget>
<output>5</output>
<gadget id="calculator">5 ** 2</gadget>
<output>25</output>
<gadget id="calculator">3.14 * 25</gadget>
<output>78.5</output>
<result>78.5</result> | 78.5 | calc |
ape210k__00241099 | Write 35 natural numbers from 1 to 35 together continuously to form a large number: 1234567891011...333435, what is the number of digits in this large number? | <gadget id="calculator">26 * 2</gadget>
<output>52</output>
<gadget id="calculator">9 + 52</gadget>
<output>61</output>
<result>61</result> | 61 | calc |
ape210k__00711031 | On the scale 1:800000 drawing, the distance between A and B is 9.5 cm. What is the actual distance in kilometers between these two places? | <gadget id="calculator">1 / 800_000</gadget>
<output>1/800_000 = around 0.000001</output>
<gadget id="calculator">9.5 / (1/800_000) / 100_000</gadget>
<output>76</output>
<result>76</result> | 76 | calc |
ape210k__00432519 | Xiaohua and Xiaojun walk away from the same point along a circular lake with a radius of 500 meters. Xiaohua walks 81 meters per minute, and Xiaojun walks 76 meters per minute. How many minutes did it take for the two to meet? | <gadget id="calculator">2 * 3.14 * 500</gadget>
<output>3_140</output>
<gadget id="calculator">81 + 76</gadget>
<output>157</output>
<gadget id="calculator">3_140 / 157</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
aqua_rat__oR5qUCseL8mxPDy7 | 5005 - 5000 ÷ 10.00 = ? Choose the correct choice.
A) 0.5 B) 50 C) 5000 D) 4505 E) None | Answer Given expression = 5005 - 5000 ÷ 10.00 = 5005 - 500=
<gadget id="calculator">5005 - 500</gadget>
<output>4_505</output>
4505 Correct Option: 4505
<result>D</result> | D | calc |
ape210k__00324254 | It is known that the volume of a cylinder is 12cm**3 more than the volume of its cone with the same base and height. What is the volume of the cylinder in cm**3? | <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">12 / (2/3)</gadget>
<output>18</output>
<result>18</result> | 18 | calc |
ape210k__00227474 | On a map with a scale of 1:500,000, the measured distance between the two places is 3.4 cm. What is the actual distance between the two places? | <gadget id="calculator">1 / 500_000</gadget>
<output>1/500_000 = around 0.000002</output>
<gadget id="calculator">3.4 / (1/500_000) / 100_000</gadget>
<output>17</output>
<result>17</result> | 17 | calc |
ape210k__00504494 | Trees are planted on one side of a road, and both ends are loaded. The distance between every two adjacent trees is 6 meters. A total of 121 trees are planted. How long is this road in meters? (When planting trees on a line that is not connected at the beginning and end, including both ends, the number of segments = th... | <gadget id="calculator">121 - 1</gadget>
<output>120</output>
<gadget id="calculator">120 * 6</gadget>
<output>720</output>
<result>720</result> | 720 | calc |
aqua_rat__YooO6pwy4HcTD1uq | Lena’s grade was in the 80th percentile out of 120 grades in her class. In another class of 200 students there were 24 grades higher than Lena’s. If nobody had Lena’s grade, then Lena was what percentile of the two classes combined? Choose the correct choice from the following answers:
A) 85 B) 90 C) 95 D) 100 E) 105 | There were two tests. What is important is how many outscored her on both tests: on the first test - 0.2*120 = 24 on the second test - 24 In total, 24 + 24 = 48 out of 120 + 200=
<gadget id="calculator"> 120 + 200</gadget>
<output>320</output>
320 outscored Lena, and they represent 48/320= 15%. Therefore, Len... | A | calc |
ape210k__00125566 | For a triangle and a parallelogram with equal bases, if the height of the parallelogram is twice that of the triangle, then how many times the area of the parallelogram is the triangle. | <result>4</result> | 4 | calc |
ape210k__00011775 | (1/7)*(5/12)+(5/12)/(7/5). | <gadget id="calculator">1 / 7</gadget>
<output>1/7 = around 0.142857</output>
<gadget id="calculator">5 / 12</gadget>
<output>5/12 = around 0.416667</output>
<gadget id="calculator">(1/7) * (5/12)</gadget>
<output>5/84 = around 0.059524</output>
<gadget id="calculator">7 / 5</gadget>
<output>7/5 = around 1.4</output... | 5/14 | calc |
ape210k__00200025 | The road construction team builds a road, and completes 30% of the total length in the first month, completes the full length (3/5) in the second month, and repairs 900 meters more in the second month than in the first month. This road is long How many kilometers? | <gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">30 / 100</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">(3/5) - (3/10)</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">900 / (3/10) / 1_000</gadget>
<output>3</output>
<result>3<... | 3 | calc |
aqua_rat__8eaDrlM3D8kkabeD | Jim drove 215 miles of a 1200 miles journey. How many more miles does he need to drive to finish his journey? Choose the correct choice:
A) 113 miles B) 432 miles C) 456miles D) 887 miles E) 985 miles | The number of miles to drive to finish his journey is given by 1200 - 215=
<gadget id="calculator">1200 - 215</gadget>
<output>985</output>
985 miles correct answer 985 miles
<result>E</result> | E | calc |
ape210k__00567951 | The foundry recasts a cube part with an edge length of 3.2 decimeters into a cuboid part with a base of 6.4 decimeters2. What is the height of this cuboid part? | <gadget id="calculator">3.2 / 6.4</gadget>
<output>0.5</output>
<gadget id="calculator">3.2 * 3.2 * 0.5</gadget>
<output>5.12</output>
<result>5.12</result> | 5.12 | calc |
aqua_rat__YrQtVyyQtUjZd0QE | Pipe A can fill a tank in 16 minutes and pipe B cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes?
Answers
A) 87 B) 25 C) 26 D) 28 E) 21 | Let the pipe B be closed after x minutes. 30/16 - x/24 = 1 => x/24 = 30/16 - 1 = 14/16 => x = 14/16 * 24=
<gadget id="calculator">14/16 * 24</gadget>
<output>21</output>
21. Answer:21
<result>E</result> | E | calc |
ape210k__00789941 | Lili bought 3 notebooks, each cost 3 yuan, and bought 4 pens. The price of each pen is twice the price of a notebook. How much did Lili spend in total? | <gadget id="calculator">3 * 3</gadget>
<output>9</output>
<gadget id="calculator">3 * 2 * 4</gadget>
<output>24</output>
<gadget id="calculator">9 + 24</gadget>
<output>33</output>
<result>33</result> | 33 | calc |
ape210k__00236443 | x=how much is the solution of the equation 4x-10=0. | <gadget id="calculator">10 + 0</gadget>
<output>10</output>
<gadget id="calculator">10 / 4</gadget>
<output>5/2 = around 2.5</output>
<result>5/2 = around 2.5</result> | 5/2 | calc |
aqua_rat__63JaFp3ahsKVt87q | The sum of a 2digit no. & the no. obtained byreversing the order ofthe digit is 165. If the digits are differ by 3, find the original no.? Choices: A) 76 B) 86 C) 88 D) 90 E) 96 | Let unit digit = x Ten’s digit = x + 3 Original number = 10(x + 3) +x = 10x + 30 + x Original number = 11x +30 Reversing the digits : Unit digit = x +3 Ten’s digit = x New number = 10x + x + 3 New number = 11x + 3 As the sum of original number and the new number = 165 11x + 30 + 11x + 3 = 165 22... | E | calc |
ape210k__00843587 | If a 10 decimeter long cylinder is sawn into 3 sections, the surface area increases by 18.84dm**2. Then, what is the volume of the original stick dm**3. | <gadget id="calculator">18.84 / 4</gadget>
<output>4.71</output>
<gadget id="calculator">4.71 * 10</gadget>
<output>47.1</output>
<result>47.1</result> | 47.1 | calc |
ape210k__00691137 | If the height of a parallelogram is 4.5 cm and the base is 2.6 cm, what is the area of the parallelogram in cm? | <gadget id="calculator">2.6 * 4.5</gadget>
<output>11.7</output>
<result>11.7</result> | 11.7 | calc |
ape210k__00885819 | A rectangular wheat field is 500 meters long and 400 meters wide. If 15 tons of wheat are harvested per hectare, how many tons of wheat can be harvested from this wheat field? | <gadget id="calculator">400 / 10_000</gadget>
<output>1/25 = around 0.04</output>
<gadget id="calculator">15 * 500 * (1/25)</gadget>
<output>300</output>
<result>300</result> | 300 | calc |
ape210k__00051304 | If a cylinder with a length of 3 meters and a volume of 12 cubic meters is divided into two parts, how many square meters will its surface area increase? | <gadget id="calculator">12 / 3</gadget>
<output>4</output>
<gadget id="calculator">4 * 2</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
ape210k__00171014 | The altitude of Mount Everest is 8844m above sea level, and the height of Turpan Basin is 155m below sea level, so how much is the difference between the highest point of Mount Everest and the lowest point of Turpan Basin? | <gadget id="calculator">8_844 + 155</gadget>
<output>8_999</output>
<result>8_999</result> | 8_999 | calc |
ape210k__00277172 | If Xiaoqiang walks 65 meters per minute from home to school, he will be late for class by 3 minutes; if he walks 70 meters per minute, he can arrive at school 2 minutes earlier than the class time. How many meters is it from Xiaoqiang's home to the school? | <gadget id="calculator">65 * 3</gadget>
<output>195</output>
<gadget id="calculator">70 * 2</gadget>
<output>140</output>
<gadget id="calculator">195 + 140</gadget>
<output>335</output>
<gadget id="calculator">70 - 65</gadget>
<output>5</output>
<gadget id="calculator">335 / 5</gadget>
<output>67</output>
<gadget ... | 4_550 | calc |
aqua_rat__jEGJKTaIl4RDmkeu | At a garage sale, all of the items were sold at different prices. If the price of a radio sold at the garage sale was both the 17th highest price and the 24th lowest price among the prices of the items sold, how many items were sold at the garage sale? Answers
A) 38 B) 39 C) 40 D) 41 E) 42 | There were 16 items sold at a higher price than the radio and 23 items sold at a lower price than the radio. Including the radio, there were 16 + 23 + 1=
<gadget id="calculator">16 + 23 + 1</gadget>
<output>40</output>
40 items sold. The answer is 40.
<result>C</result> | C | calc |
ape210k__01087679 | Xiaoming's mother bought more than 30 apples. If every 4 pieces were packed in a bag, it would be just finished; if every 6 pieces were packed in a bag, it would be just finished. How many apples did Xiao Ming's mother buy? | <gadget id="calculator">2 * 2 * 3</gadget>
<output>12</output>
<gadget id="calculator">12 * 3</gadget>
<output>36</output>
<result>36</result> | 36 | calc |
ape210k__00042644 | How many hundredths are there in 0.820? | <gadget id="calculator">1 / 100</gadget>
<output>1/100 = around 0.01</output>
<gadget id="calculator">0.82 / (1/100)</gadget>
<output>82</output>
<result>82</result> | 82 | calc |
ape210k__00288642 | A cuboid bucket with a height of 30 cm and a square bottom with a side length of 10 cm is filled with (1/2) volume of water. Now put a cuboid stone with a side length of 2 cm*2 cm*3 cm into the bucket How many pieces of this kind of stones need to be thrown in to make the water level just equal to the height of the buc... | <gadget id="calculator">10 * 10 * 30</gadget>
<output>3_000</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">2 * 2 * 3</gadget>
<output>12</output>
<gadget id="calculator">(1/2) / 12</gadget>
<output>1/24 = around 0.041667</output>
<gadget id="calculator">3_0... | 125 | calc |
ape210k__00898841 | 23*4=92, what is the product of 230*4? | <gadget id="calculator">230 * 4</gadget>
<output>920</output>
<result>920</result> | 920 | calc |
math_qa__fhNaH7yk5bmZCEcr | Local kennel has cats and dogs in the ratio of 3:4. If there are 8 fewer cats than dogs, how many dogs are in the kennel? Choose the correct choice from the following answers
A) 28 B) 26 C) 24 D) 32 E) 30 | <gadget id="calculator">8 * 4</gadget>
<output>32</output>
<result>D</result> | D | calc |
ape210k__00686209 | How many of the following numbers are not common multiples of 2, 3 and 5. | <result>200</result> | 200 | calc |
ape210k__00402074 | A bundle of wires is 100 meters long. 32 meters were used for the first time, and 23 meters were used for the second time. How many meters are left? | <gadget id="calculator">32 + 23</gadget>
<output>55</output>
<gadget id="calculator">100 - 55</gadget>
<output>45</output>
<result>45</result> | 45 | calc |
ape210k__00271830 | How much is 45 tons reduced by 10%. | <gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">45 * (1/10)</gadget>
<output>9/2 = around 4.5</output>
<gadget id="calculator">45 - (9/2)</gadget>
<output>81/2 = around 40.5</output>
<result>81/2 = around 40.5</result> | 81/2 | calc |
ape210k__00066708 | A cylinder and a cone have the same base and height, the sum of their volumes is 160 cubic centimeters, what is the volume of the cone in cubic centimeters? | <gadget id="calculator">3 + 1</gadget>
<output>4</output>
<gadget id="calculator">160 / 4</gadget>
<output>40</output>
<result>40</result> | 40 | calc |
ape210k__00083595 | Adding 50 or subtracting 50 to a natural number is a perfect square number. Try to find the value of this natural number? | <gadget id="calculator">26 ** 2</gadget>
<output>676</output>
<gadget id="calculator">676 - 50</gadget>
<output>626</output>
<result>626</result> | 626 | calc |
aqua_rat__Xz2cPZla2f7fIpC1 | Population is 22000. Population increases by 10% every year, then the population after 3 years is? Choose the correct choice from the following answers.
A) 26630 B) 29282 C) 36620 D) 26620 E) 26820 | population after 1st year = 22000*10/100=
<gadget id="calculator">22000*10/100</gadget>
<output>2_200</output>
2200===> 22000+2200 = 24000 population after 2nd year = 24000*10/100=
<gadget id="calculator">24000*10/100</gadget>
<output>2_400</output>
2400===> 24000+2400 = 26620 population after 3rd year = 26... | B | calc |
gsm8k__j6tAKaSTfRZ3ZD4Z | Carter grew 9 plants with 3 seed packets. How many more seed packets does Carter need to have a total of 12 plants in his backyard? | If he grows 9 plants with 3 seed packets, he grows 9/3=
<gadget id="calculator">9/3</gadget>
<output>3</output>
3 plants with 1 seed packet.
Since 1 seed packet grows 3 plants, he'll need 1 more to make the plants 12.
<result>1</result> | 1 | calc |
aqua_rat__faL2lvsp2sunsVGK | If x = y+3+4.5x and y = x+33, what is the value of x/y ? Choose the correct option
A) -6/5. B) -8/25 C) 1/4. D) 5/6. E) 1.5. | (1) x = y + 3 + 4.5x Substitute y for y = x + 33 (Eq. we are given) x = x + 33 + 3 + 4.5x Combine like terms x = 5.5x +36 --> -4.5x = 36 --> x = -8 (2) y = x + 18 Substitute x for x = -8 y = (-8) + 33=
<gadget id="calculator">(-8) + 33</gadget>
<output>25</output>
25 (3) x/y= ? Substitute x and... | B | calc |
ape210k__00807373 | There are 55 students in the first class of the third grade and 52 students in the second class. If each student plants 3 trees. How many trees can be planted in total? | <gadget id="calculator">55 + 52</gadget>
<output>107</output>
<gadget id="calculator">107 * 3</gadget>
<output>321</output>
<result>321</result> | 321 | calc |
aqua_rat__te9cWAAj3BThNGKC | Beth received 3/5 of the votes cast in a certain election. What fraction of the other votes cast would she have needed in order to have received 3/4 of the votes cast? Choose the correct choice from the following: A) 1/5 B) 2/7 C) 3/8 D) 7/20 E) 1/2 | Let the total votes be 100. Beth received 60 votes, other votes 100-60=
<gadget id="calculator"> 100-60</gadget>
<output>40</output>
40. In order to have received 1/2 of the votes she needed 75 votes so 15 more, which is 15/40= 3/8 of the other votes. Answer: 3/8.
<result>C</result> | C | calc |
aqua_rat__qi8MaLgOZkrR8g20 | A telephone company needs to create a set of 3-digit area codes. The company is entitled to use only digits 2, 4 and 8, which can be repeated. If the product of the digits in the area code must be even, how many different codes can be created? Select the correct option:
A) 20 B) 22 C) 24 D) 27 E) 30 | Total # of codes possible is 3*3*3=
<gadget id="calculator">3*3*3</gadget>
<output>27</output>
27. Oit of those 27 codes Answer: 27.
<result>D</result> | D | calc |
ape210k__00260156 | Calculation: ((1/243)+(2/243)+(3/243)+…+(16/243))-((1/486)+(2/486)+(3/486)+… +(16/486))+322/161(161/242). | <gadget id="calculator">68 / 243</gadget>
<output>68/243 = around 0.279835</output>
<gadget id="calculator">484 / 243</gadget>
<output>484/243 = around 1.99177</output>
<gadget id="calculator">(68/243) + (484/243)</gadget>
<output>184/81 = around 2.271605</output>
<result>184/81 = around 2.271605</result> | 184/81 | calc |
aqua_rat__9hn0th2h3dw1kO5p | In what time a sum of money double itself at 3% per annum simple interest? Select: A) 33 1/9% B) 33 1/3% C) 33 7/3% D) 33 2/3% E) 33 8/3% | P = (P*3*R)/100 R = 33 1/3% Answer: 33 1/3%
<result>B</result> | B | calc |
ape210k__00826133 | What is the quotient if the divisor is multiplied by 10 and the dividend remains unchanged. | <gadget id="calculator">100 / 5</gadget>
<output>20</output>
<gadget id="calculator">5 * 10</gadget>
<output>50</output>
<gadget id="calculator">100 / 50</gadget>
<output>2</output>
<gadget id="calculator">20 / 2</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
ape210k__00258757 | What is the solution of the equation 8x+15=95. | <gadget id="calculator">95 - 15</gadget>
<output>80</output>
<gadget id="calculator">80 / 8</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
ape210k__00159246 | A cylindrical container and a conical container have the same bottom and height. It is known that the conical container can hold up to 150 milliliters of water. How many milliliters of water can this cylindrical container hold at most? | <gadget id="calculator">150 * 3</gadget>
<output>450</output>
<result>450</result> | 450 | calc |
ape210k__01063643 | Two barrels of oil, A and B, weigh 160 kilograms in total. If (7/15) is taken out from barrel A and poured into barrel B, then barrel A is 40 kilograms less than barrel B. How many kilograms of original oil is in barrel A? | <gadget id="calculator">160 - 40</gadget>
<output>120</output>
<gadget id="calculator">7 / 15</gadget>
<output>7/15 = around 0.466667</output>
<gadget id="calculator">1 - (7/15)</gadget>
<output>8/15 = around 0.533333</output>
<gadget id="calculator">120 / 2 / (8/15)</gadget>
<output>225/2 = around 112.5</output>
<... | 225/2 | calc |
ape210k__00428944 | The factory uses an average of 45 tons of coal per day. How many tons of coal was used in April? | <gadget id="calculator">45 * 30</gadget>
<output>1_350</output>
<result>1_350</result> | 1_350 | calc |
aqua_rat__McpZQA0XESOLehyE | In how many ways can three consonants and two vowels be selected from the letters of the word "TRIANGLE"? Choose the correct choice:
A) 25 B) 13 C) 40 D) 20 E) 30 | The word contains five consonants. Three vowels, three consonants can be selected from five consonants in ⁵C₃ ways, two vowels can be selected from three vowels in ³C₂ ways. 3 consonants and 2 vowels can be selected in ⁵C₂ . ³C₂ ways i.e., 10 * 3 = 30 ways. ANSW30R:30
<result>E</result> | E | calc |
math_qa__agifoHEBpsSocRPO | A man can row 8 kmph in still water. When the river is running at 1.8 kmph, it takes him 2 hour to row to a place and back. What is the total distance traveled by the man? Choose one.
A) 8.2 km B) 6.7 km C) 7.6 km D) 7.4 km E) 6.3 km | <gadget id="calculator">8 + 1.8</gadget>
<output>9.8</output>
<gadget id="calculator">8 - 1.8</gadget>
<output>6.2</output>
<gadget id="calculator">9.8 * 6.2</gadget>
<output>60.76</output>
<gadget id="calculator">9.8 + 6.2</gadget>
<output>16</output>
<gadget id="calculator">60.76 / 16</gadget>
<output>3.7975</out... | C | calc |
math_qa__eROxkM5miDp063Hz | The area of a triangle is with base 8m and height 4m? Choose one.
A) 88 m 2 B) 10 m 2 C) 16 m 2 D) 77 m 2 E) 31 m 2 | <gadget id="calculator">(8 * 4) / 2</gadget>
<output>16</output>
<result>C</result> | C | calc |
ape210k__00344525 | The number A is 8, the number B is 2 more than the number A, and the number A is less than the number B. | <gadget id="calculator">8 + 2</gadget>
<output>10</output>
<gadget id="calculator">2 / 10</gadget>
<output>1/5 = around 0.2</output>
<result>1/5 = around 0.2</result> | 1/5 | calc |
ape210k__00417848 | The terracotta warriors and horses in Shaanxi are known as "one of the eight man-made wonders of the world". Among them, the infantry terracotta warriors account for 40% of the total number of terracotta warriors. Other terracotta warriors are 1,600 more than the infantry terracotta warriors. How many are the total num... | <gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1 - (2/5) - (2/5)</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1_600 / (1/5)</gadget>
<output>8_000</output>
<gadget id="calculator">8_000 * (2/5)</gadget>
<output>3_200</output>
<result>3_200</... | 3_200 | calc |
math_qa__S0qAy4c6TBY0iaC7 | Mark bought a set of 6 flower pots of different sizes at a total cost of $8.25. Each pot cost 0.1 more than the next one below it in size. What was the cost, in dollars, of the largest pot? Answers
A) $ 1.62
B) $ 1.85
C) $ 2.00
D) $ 2.15
E) $ 2.30 | <gadget id="calculator">6 - 1</gadget>
<output>5</output>
<gadget id="calculator">5 * 6</gadget>
<output>30</output>
<gadget id="calculator">30 / 2</gadget>
<output>15</output>
<gadget id="calculator">15 * 0.1</gadget>
<output>1.5</output>
<gadget id="calculator">8.25 - 1.5</gadget>
<output>6.75</output>
<gadget i... | A | calc |
ape210k__00842169 | When two numbers are multiplied together, the product is 60. If one of the multipliers is multiplied by 5 and the other multiplier remains unchanged, what is the product? | <gadget id="calculator">60 * 5</gadget>
<output>300</output>
<result>300</result> | 300 | calc |
ape210k__00091795 | Cut a rectangle with a length of 30 cm and a width of 18 cm into a square with the same size and an area as large as possible. If there is no paper left, at least how many can be cut? | <gadget id="calculator">2 * 3</gadget>
<output>6</output>
<gadget id="calculator">30 / 6</gadget>
<output>5</output>
<gadget id="calculator">18 / 6</gadget>
<output>3</output>
<gadget id="calculator">5 * 3</gadget>
<output>15</output>
<result>15</result> | 15 | calc |
aqua_rat__fYP8wgmzomXmycy7 | A company consists of 5 senior and 3 junior staff officers. If a committee is created with 2 senior and 2 junior staff officers, in how many ways can the committee be formed? Choose the correct answer.
A) 12 B) 30 C) 45 D) 80 E) 200 | Choose 2 senior from 5 senior and choose 2 junior from 3 junior: 5C2 * 3C2 = 10*3=
<gadget id="calculator">10*3</gadget>
<output>30</output>
30 Ans: 30
<result>B</result> | B | calc |
aqua_rat__jBSDWZ8WkXl6GFDU | Enzo is flying to Austria on vacation. He wants to bring several pairs of shoes with him. He knows each shoe's individual weight (x = weight as an integer). Choose an equation, that Enzo can use later in another equation, to find how many pairs of shoes he can take on his trip. So, this equation must result in an even ... | Divisible by 2 (Parity Mathematics) states: an even number is an integer of the form n = 2k, where k is an integer; an odd number is an integer of the form n = 2k + 1. A and C: 2x + 1 = odd And from Multiplication Rule: even x even = even even x odd = even odd x even = even odd x odd = odd So, B and D: od... | E | calc |
ape210k__00317675 | The 35 numbers are arranged in 5 rows and 7 columns. The average numbers of the 7 columns are 39, 41, 40, 45, 42, 39, 41 respectively, and the average numbers of the first 4 rows are 42, 39, 44, 41 respectively. Ask for the average of the last row. | <gadget id="calculator">39 * 5</gadget>
<output>195</output>
<gadget id="calculator">41 * 5</gadget>
<output>205</output>
<gadget id="calculator">40 * 5</gadget>
<output>200</output>
<gadget id="calculator">45 * 5</gadget>
<output>225</output>
<gadget id="calculator">42 * 5</gadget>
<output>210</output>
<gadget id... | 39 | calc |
aqua_rat__96OwIHntSJUBfXcf | A car gets 32 miles to the gallon. If it is modified to use a solar panel, it will use only 80 percent as much fuel as it does now. If the fuel tank holds 12 gallons, how many more miles will the car be able to travel, per full tank of fuel, after it has been modified? Choose the correct answer.
A) 84 B) 88 C) 92 D) 96... | Originally, the distance the car could go on a full tank was 12*32=
<gadget id="calculator"> 12*32</gadget>
<output>384</output>
384 miles. After it has been modified, the car can go 32/0.8=
<gadget id="calculator"> 32/0.8</gadget>
<output>40</output>
40 miles per gallon. On a full tank, the car can go 12*40... | D | calc |
aqua_rat__AZb0E7151SQGsuhR | A total of 3000 chocolates were distributed among 120 boys and girls such that each boy received 2 chocolates and each girl received 3 chocolates. Find the respective number of boys and girls? Choose the correct choice from the following answers:
A) 68,98 B) 60,60 C) 64,87 D) 64,09 E) 60,64 | Let the number of boys be x. Number of girls is 120 - x. Total number of chocolates received by boys and girls = 2x + 3(120 - x) = 300 => 360 - x = 300 => x = 60. So, the number of boys or girls is 60. Answer:60,60
<result>B</result> | B | calc |
aqua_rat__KzvGOy3QlsvwlMgN | In a question on division with zero remainder, a candidate took 12 as divisor instead of 20. The quotient obtained by him was 25. The correct quotient is? Choose the correct option:
A) A)15
B) B)24
C) C)28
D) D)29
E) E)30 | Number = (25 * 12)=
<gadget id="calculator">(25 * 12)</gadget>
<output>300</output>
300 Correct quotient= 300/20=
<gadget id="calculator">300/20</gadget>
<output>15</output>
15 15)
<result>A</result> | A | calc |
ape210k__00209655 | The time to complete a job is shortened from 8 hours to 6 hours, how much work efficiency has been improved | <gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">(1/6) - (1/8)</gadget>
<output>1/24 = around 0.041667</output>
<gadget id="calculator">(1/24) / (1/8)</gadget>
<output>1/3 = around 0.333333... | 1/3 | calc |
ape210k__01186035 | There are 35 trains arriving on time at a railway station on October 3, and 5 trains are delayed. What is the punctuality rate of trains at this station on this day? | <gadget id="calculator">35 + 5</gadget>
<output>40</output>
<gadget id="calculator">35 / 40</gadget>
<output>7/8 = around 0.875</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">(7/8) * 1</gadget>
<output>7/8 = around 0.875</output>
<result>7/8 = around 0.875</result> | 7/8 | calc |
ape210k__00184667 | It is known that ab=c, if a increases by 30 and c remains unchanged, how much will b increase | <gadget id="calculator">100 - 60</gadget>
<output>40</output>
<gadget id="calculator">130 - 40</gadget>
<output>90</output>
<gadget id="calculator">90 - 60</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
ape210k__00200401 | piece of rope 12 cm long is cut 3 times, what is the average length of each piece in cm? | <gadget id="calculator">12 / 4</gadget>
<output>3</output>
<result>3</result> | 3 | calc |
ape210k__00057978 | The school's playground is a 200-meter runway with a width of 1 meter and a total of 6 runways. For fair competition, the starting point of the 200-meter race should be how many meters ahead of the first track in the second track. | <result>6.28</result> | 6.28 | calc |
ape210k__00359534 | The net content of a bucket of pure water is 20 liters. If you drink (3/8), how many liters do you drink? | <gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">20 * (3/8)</gadget>
<output>15/2 = around 7.5</output>
<result>15/2 = around 7.5</result> | 15/2 | calc |
ape210k__00589527 | Cut a cylindrical wood with a height of 20 cm into two identical half cylinders vertically along the diameter of the bottom surface, and increase the surface area by 520 square centimeters. Calculate the lateral area of the original cylindrical wood. | <gadget id="calculator">520 / 2</gadget>
<output>260</output>
<result>260</result> | 260 | calc |
ape210k__00227250 | In the following formulas, what is the result less than 1? | <gadget id="calculator">1 * 1.2</gadget>
<output>1.2</output>
<gadget id="calculator">1 / 1.2</gadget>
<output>0.833333</output>
<result>0.833333</result> | 0.833333 | calc |
aqua_rat__PFl6g8aa1kL535IM | There is food for 760 men for 22 days. How many more men should join after two days so that the same food may last for 19 days more? Choose the correct answer.
A) 11
B) 40
C) 66
D) 55
E) 44 | 760 ---- 22 760 ---- 20 x ----- 19 x*19 = 760*20 x = 800 760 ------- 40 Answer:40
<result>B</result> | B | calc |
ape210k__00490548 | Fangfang reads a 96-page science and technology book, read (2/5) of this book on the first day, and (2/9) of this book on the second day, and still have a fraction of the book How many did you watch? | <gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">2 / 9</gadget>
<output>2/9 = around 0.222222</output>
<gadget id="calculator">1 - (2/5) - (2/9)</gadget>
<output>17/45 = around 0.377778</output>
<result>17/45 = around 0.377778</result> | 17/45 | calc |
ape210k__01011051 | I bought 3 basketballs and 50 table tennis balls for 294 yuan. The price of 1 basketball is equivalent to the price of 16 table tennis balls. How much is each basketball? | <gadget id="calculator">16 * 3</gadget>
<output>48</output>
<gadget id="calculator">48 + 50</gadget>
<output>98</output>
<gadget id="calculator">294 / 98</gadget>
<output>3</output>
<gadget id="calculator">3 * 16</gadget>
<output>48</output>
<result>48</result> | 48 | calc |
aqua_rat__i44xqnSi5cTTIXGh | When a=x+(2/x) and b=x-(2/x), (2^a^2)/(2^b^2)=? Choose one:
A) 2 B) 256 C) 8 D) 16 E) 32 | --> (2^a^2)/(2^b^2) ={(2)^(a^2-b^2)}=2^(a-b)(a+b). Since a-b=4/x and a+b=2x, 2^(a-b)(a+b)=2^(4/x)(2x)=2^8=256 Answer is 256
<result>B</result> | B | calc |
aqua_rat__olblItum7R30mFsk | Buses A and B start from a common bus stop X. Bus A begins to travel in a straight line away from bus B at a constant rate of 20 miles per hour. One hour later, bus B begins to travel in a straight line in the exact opposite direction at a constant rate of 80 miles per hour. If both buses travel indefinitely, what is t... | 1st part: - In 1hr, Bus A covers 30 miles. Relative speed of bus ABus B is (80-30)=
<gadget id="calculator"> (80-30)</gadget>
<output>50</output>
50mph. So time required for Bus B to cover the exact distance as A is 50*t= 30 t=3/5 = 36min 2nd part 80*t=2d - B has to cover twice the distance 30*(t+1) =... | C | calc |
aqua_rat__m6Enl2FUdU3YmSeO | A can do a piece of work in 16 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work? Choose the correct choice from the following choices
A) 18 B) 77 C) 66 D) 55 E) 12 | 8/16 + 6/x = 1 X = 12 days Answer:12
<result>E</result> | E | calc |
ape210k__00803977 | A fruit shop bought 400 kilograms of fruit, sold 198 kilograms in the morning and 146 kilograms in the afternoon, how many kilograms of fruit are left unsold? | <gadget id="calculator">400 - 198 - 146</gadget>
<output>56</output>
<result>56</result> | 56 | calc |
ape210k__00573602 | Xiaoqiang has 60 stamps, which happen to belong to Xiaohong (5/6). How many stamps does Xiaohong have? | <gadget id="calculator">5 / 6</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">60 / (5/6)</gadget>
<output>72</output>
<result>72</result> | 72 | calc |
ape210k__00410810 | An engineering team repaired a section of highway on the first day (1/5) of the full length, and on the second day it repaired 30% of the full length, leaving 84 meters to be repaired. How many meters is this road? | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">30 / 100</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">1 - (1/5) - (3/10)</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">84 / (1/2)</gadget>
<output>168</output>
<result>168</re... | 168 | calc |
ape210k__00425832 | The greatest common divisor of A and B is 9, and the least common multiple is 432. If A=27, then B=how much. | <gadget id="calculator">3 * 3 * 2 * 2 * 2 * 2</gadget>
<output>144</output>
<result>144</result> | 144 | calc |
math_qa__myK74lp0KIdzYuLh | Jaime earned enough money by selling seashells at 20 cents each to buy several used paperback books at 55 cents each. If he spent all of the money he earned selling seashells to buy the books, what is the least number of seashells he could have sold ? Choose one:
A) 5 B) 10 C) 22 D) 25 E) 30 | <gadget id="calculator">lcm(20, 55)</gadget>
<output>220</output>
<gadget id="calculator">220 / 20</gadget>
<output>11</output>
<gadget id="calculator">11 + 10</gadget>
<output>21</output>
<result>C</result> | C | calc |
ape210k__00800541 | Xiao Zhang and 3 classmates went to the park to play. They spent 108 yuan in total. How much did each person spend on average? | <gadget id="calculator">1 + 3</gadget>
<output>4</output>
<gadget id="calculator">108 / 4</gadget>
<output>27</output>
<result>27</result> | 27 | calc |
ape210k__00022251 | Galaxy Supermarket shipped 10 packs of towels, 240 per pack. 1420 sold, how many left? | <gadget id="calculator">240 * 10</gadget>
<output>2_400</output>
<gadget id="calculator">2_400 - 1_420</gadget>
<output>980</output>
<result>980</result> | 980 | calc |
ape210k__00761221 | A rectangular picture frame is 12 decimeters long and 8 decimeters wide. Wrap it around its edge with a ribbon, how long is the ribbon at least? | <gadget id="calculator">12 + 8</gadget>
<output>20</output>
<gadget id="calculator">20 * 2</gadget>
<output>40</output>
<result>40</result> | 40 | calc |
ape210k__00859891 | It takes 2 hours for a car to travel 144 kilometers, how many meters per second does the car travel? | <gadget id="calculator">144 / 2</gadget>
<output>72</output>
<gadget id="calculator">1 * 3_600</gadget>
<output>3_600</output>
<gadget id="calculator">1_000 / 3_600</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">72 * (5/18)</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
ape210k__00571577 | It costs 21.7 yuan to buy a doll, and 8.5 yuan to buy a teddy bear. How much is a doll more expensive than a teddy bear? | <gadget id="calculator">21.7 - 8.5</gadget>
<output>13.2</output>
<result>13.2</result> | 13.2 | calc |
ape210k__00233429 | Use the three numbers 1, 2, and 3 each time (only use these three numbers) to form a number, how many integers and decimals can be formed. | <gadget id="calculator">6 + 6 + 6</gadget>
<output>18</output>
<result>18</result> | 18 | calc |
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