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ape210k__01075595
A section of iron sheet cylindrical downpipe is 2 meters long, the radius of the bottom surface is 2.5 decimeters, and the joint is 2 centimeters. How many square decimeters of iron sheet are needed to make this section of downwater pipe?
<gadget id="calculator">3.14 * 2.5 * 2</gadget> <output>15.7</output> <gadget id="calculator">2 / 10</gadget> <output>1/5 = around 0.2</output> <gadget id="calculator">15.7 + (1/5)</gadget> <output>15.9</output> <gadget id="calculator">2 * 10</gadget> <output>20</output> <gadget id="calculator">15.9 * 20</gadget> <output>318</output> <result>318</result>
318
ape210k
A section of iron sheet cylindrical downpipe is 6 meters long, the radius of the bottom surface is 19.37 decimeters, and the joint is 6 centimeters. How many square decimeters of iron sheet are needed to make this section of downwater pipe?
<gadget id="calculator"> 3.14 * 19.37 * 6 </gadget> <output> 364.9308 </output> <gadget id="calculator"> 6 / 10 </gadget> <output> 3/5 </output> <gadget id="calculator"> 364.9308 + ( 1 / 5 )</gadget> <output> 365.1308 </output> <gadget id="calculator"> 6 * 10 </gadget> <output> 60 </output> <gadget id="calculator"> 365.1308 * 60 </gadget> <output> 21907.848 </output> <result> 21907.848 </result>
ape210k__01041421
Dongdong's family is in Beijing, and his grandma's is in Nanjing. He measured the length of the railway line from Beijing to Nanjing on a map with a scale of 1:6,000,000, which is about 15 centimeters, and the actual distance from Beijing to Nanjing is in kilometers.
<gadget id="calculator">1 / 6_000_000</gadget> <output>1/6_000_000 = around 0</output> <gadget id="calculator">15 / (1/6_000_000) / 100_000</gadget> <output>900</output> <result>900</result>
900
ape210k
Dongdong's family is in Beijing, and his grandma's is in Nanjing. He measured the length of the railway line from Beijing to Nanjing on a map with a scale of 37 : 92 , 5675 , 5675 , which is about 947 centimeters, and the actual distance from Beijing to Nanjing is in kilometers.
<gadget id="calculator"> 37 / 6000000 </gadget> <output> 37/6_000_000 </output> <gadget id="calculator"> 947 / ( 37 / 6000000 ) / 100000 </gadget> <output> 56_820/37 </output> <result> 56_820/37 </result>
ape210k__00180253
There are 6 students taking a math test. If 90 points are recorded as 0, their scores are recorded as +5, -3, +3, -3, +2, +2 in sequence. What is the average score of these 6 students? .
<gadget id="calculator">5 - 3</gadget> <output>2</output> <gadget id="calculator">3 - 3</gadget> <output>0</output> <gadget id="calculator">2 + 0 + 2 + 2</gadget> <output>6</output> <gadget id="calculator">6 / 6</gadget> <output>1</output> <gadget id="calculator">1 + 90</gadget> <output>91</output> <result>91</result>
91
ape210k
There are 42 students taking a math test. If 417 points are recorded as 84 , their scores are recorded as + 61 , - 26 , + 26 , - 26 , + 37 , + 37 in sequence. What is the average score of these 42 students? .
<gadget id="calculator"> 61 - 26 </gadget> <output> 35 </output> <gadget id="calculator"> 26 - 26 </gadget> <output> 0 </output> <gadget id="calculator"> 35 + 0 + 35 + 35 </gadget> <output> 105 </output> <gadget id="calculator"> 105 / 105 </gadget> <output> 1 </output> <gadget id="calculator"> 1 + 417 </gadget> <output> 418 </output> <result> 418 </result>
ape210k__00101951
If you randomly touch balls in a bag containing 7 red balls, 2 green balls and 1 yellow ball, what is the probability of getting a red ball?
<gadget id="calculator">7 + 2 + 1</gadget> <output>10</output> <gadget id="calculator">7 / 10</gadget> <output>7/10 = around 0.7</output> <result>7/10 = around 0.7</result>
7/10
ape210k
If you randomly touch balls in a bag containing 93 red balls, 5 green balls and 23 yellow ball, what is the probability of getting a red ball?
<gadget id="calculator"> 93 + 5 + 23 </gadget> <output> 121 </output> <gadget id="calculator"> 93 / 121 </gadget> <output> 93/121 </output> <result> 93/121 </result>
ape210k__00588414
A cuboid wooden box has a length of 20dm, a width of 5dm, and a height of 3dm. How many square decimeters of wood should be used to make this wooden box?
<gadget id="calculator">20 * 5</gadget> <output>100</output> <gadget id="calculator">20 * 3</gadget> <output>60</output> <gadget id="calculator">5 * 3</gadget> <output>15</output> <gadget id="calculator">100 + 60 + 15</gadget> <output>175</output> <gadget id="calculator">175 * 2</gadget> <output>350</output> <result>350</result>
350
ape210k
A cuboid wooden box has a length of 10 dm, a width of 39 dm, and a height of 73 dm. How many square decimeters of wood should be used to make this wooden box?
<gadget id="calculator"> 10 * 39 </gadget> <output> 390 </output> <gadget id="calculator"> 10 * 73 </gadget> <output> 730 </output> <gadget id="calculator"> 39 * 73 </gadget> <output> 2_847 </output> <gadget id="calculator"> 390 + 730 + 2_847 </gadget> <output> 3_967 </output> <gadget id="calculator"> 3_967 * 2 </gadget> <output> 7_934 </output> <result> 7_934 </result>
ape210k__00110751
Xiao Ming went to the store to buy 66 red and black pens in total. Each red pen is priced at 5 yuan, and each black pen is priced at 9 yuan. Because the quantity bought is large, the store will give a discount, the red pen will be paid at 85% of the price, and the black pen will be paid at 80% of the price. If he pays 18% less than the price, then he bought the red pen How many sticks?
<gadget id="calculator">5 + 6</gadget> <output>11</output> <gadget id="calculator">6 / 11</gadget> <output>6/11 = around 0.545455</output> <gadget id="calculator">66 * (6/11)</gadget> <output>36</output> <result>36</result>
36
ape210k
Xiao Ming went to the store to buy 618 red and black pens in total. Each red pen is priced at 14 yuan, and each black pen is priced at 43 yuan. Because the quantity bought is large, the store will give a discount, the red pen will be paid at 292 % of the price, and the black pen will be paid at 466 % of the price. If he pays 657 % less than the price, then he bought the red pen How many sticks?
<gadget id="calculator"> 14 + 6 </gadget> <output> 20 </output> <gadget id="calculator"> 6 / 20 </gadget> <output> 3/10 </output> <gadget id="calculator"> 618 * ( 6 / 20 )</gadget> <output> 927/5 </output> <result> 927/5 </result>
ape210k__00626409
The typist has been typing a manuscript for 5 days, and it is completed every day on average (3/16). How much of this manuscript is left unprinted?
<gadget id="calculator">3 / 16</gadget> <output>3/16 = around 0.1875</output> <gadget id="calculator">(3/16) * 5</gadget> <output>15/16 = around 0.9375</output> <gadget id="calculator">1 - (15/16)</gadget> <output>1/16 = around 0.0625</output> <result>1/16 = around 0.0625</result>
1/16
ape210k
The typist has been typing a manuscript for 70 days, and it is completed every day on average ( 68 / 506 ). How much of this manuscript is left unprinted?
<gadget id="calculator"> 68 / 506 </gadget> <output> 34/253 </output> <gadget id="calculator">( 68 / 506 ) * 70 </gadget> <output> 2_380/253 </output> <gadget id="calculator"> 1 - ( 15 / 506 )</gadget> <output> 491/506 </output> <result> 491/506 </result>
ape210k__00776375
A pile of coal has been transported away (3/4), and there are still 25 kilograms left. How many kilograms are there in this pile of coal?
<gadget id="calculator">3 / 4</gadget> <output>3/4 = around 0.75</output> <gadget id="calculator">1 - (3/4)</gadget> <output>1/4 = around 0.25</output> <gadget id="calculator">25 / (1/4)</gadget> <output>100</output> <result>100</result>
100
ape210k
A pile of coal has been transported away ( 18 / 65 ), and there are still 480 kilograms left. How many kilograms are there in this pile of coal?
<gadget id="calculator"> 18 / 65 </gadget> <output> 18/65 </output> <gadget id="calculator"> 1 - ( 18 / 65 )</gadget> <output> 47/65 </output> <gadget id="calculator"> 480 / ( 1 / 65 )</gadget> <output> 31_200 </output> <result> 31_200 </result>
ape210k__00423474
Xiaohua's home is 1300 meters away from the school. He goes back and forth twice a day. How many meters does he walk every day?
<gadget id="calculator">2 * 2</gadget> <output>4</output> <gadget id="calculator">1_300 * 4</gadget> <output>5_200</output> <result>5_200</result>
5_200
ape210k
Xiaohua's home is 25273 meters away from the school. He goes back and forth twice a day. How many meters does he walk every day?
<gadget id="calculator"> 2 * 2 </gadget> <output> 4 </output> <gadget id="calculator"> 25273 * 4 </gadget> <output> 101_092 </output> <result> 101_092 </result>
ape210k__00577803
An alcoholic solution is made by mixing 80 grams of alcohol and 20 grams of water. How much alcohol is contained in this alcoholic solution?
<gadget id="calculator">80 + 20</gadget> <output>100</output> <gadget id="calculator">80 / 100</gadget> <output>4/5 = around 0.8</output> <gadget id="calculator">100 / 100</gadget> <output>1</output> <gadget id="calculator">(4/5) * 1</gadget> <output>4/5 = around 0.8</output> <result>4/5 = around 0.8</result>
4/5
ape210k
An alcoholic solution is made by mixing 829 grams of alcohol and 116 grams of water. How much alcohol is contained in this alcoholic solution?
<gadget id="calculator"> 829 + 116 </gadget> <output> 945 </output> <gadget id="calculator"> 829 / 945 </gadget> <output> 829/945 </output> <gadget id="calculator"> 945 / 945 </gadget> <output> 1 </output> <gadget id="calculator">( 4 / 5 ) * 1 </gadget> <output> 4/5 </output> <result> 4/5 </result>
ape210k__00125774
There is a job, A does it for 2 days, B continues to do it, and after 10 days, the job is completed. Given that it takes 30 days for B to complete the task alone, how many days will it take for A to complete the task alone?
<gadget id="calculator">10 / 30</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">2 + 10</gadget> <output>12</output> <gadget id="calculator">(2/3) / 12</gadget> <output>1/18 = around 0.055556</output> <gadget id="calculator">1 / (1/18)</gadget> <output>18</output> <result>18</result>
18
ape210k
There is a job, A does it for 43 days, B continues to do it, and after 167 days, the job is completed. Given that it takes 749 days for B to complete the task alone, how many days will it take for A to complete the task alone?
<gadget id="calculator"> 167 / 749 </gadget> <output> 167/749 </output> <gadget id="calculator"> 1 - ( 1 / 3 )</gadget> <output> 2/3 </output> <gadget id="calculator"> 43 + 167 </gadget> <output> 210 </output> <gadget id="calculator">( 43 / 3 ) / 210 </gadget> <output> 43/630 </output> <gadget id="calculator"> 1 / ( 1 / 18 )</gadget> <output> 18 </output> <result> 18 </result>
ape210k__00098191
A certain agricultural machinery factory produces 3 times more farm implements this year than last year, and produces 4140 pieces per month this year. How many more farm implements are produced each month this year than last year?
<gadget id="calculator">4_140 / 3</gadget> <output>1_380</output> <gadget id="calculator">4_140 - 1_380</gadget> <output>2_760</output> <result>2_760</result>
2_760
ape210k
A certain agricultural machinery factory produces 59 times more farm implements this year than last year, and produces 84973 pieces per month this year. How many more farm implements are produced each month this year than last year?
<gadget id="calculator"> 84973 / 59 </gadget> <output> 84_973/59 </output> <gadget id="calculator"> 84973 - 84_973/59 </gadget> <output> 4_928_434/59 </output> <result> 4_928_434/59 </result>
ape210k__00206375
The students in class 31 are in physical education class, divided into 6 rows, with 8 people in each row, and there are 2 people left. How many people are there in the whole class? How many
<gadget id="calculator">8 * 6</gadget> <output>48</output> <gadget id="calculator">48 + 2</gadget> <output>50</output> <result>50</result>
50
ape210k
The students in class 264 are in physical education class, divided into 92 rows, with 24 people in each row, and there are 2 people left. How many people are there in the whole class? How many
<gadget id="calculator"> 24 * 92 </gadget> <output> 2_208 </output> <gadget id="calculator"> 2_208 + 2 </gadget> <output> 2_210 </output> <result> 2_210 </result>
ape210k__00573941
Cut the cuboid plasticine whose length, width and height are 1.2dm, 1.2dm and 0.8dm respectively into the largest cylinder. What is the volume of this cylinder?
<gadget id="calculator">1.2 / 2</gadget> <output>0.6</output> <gadget id="calculator">0.6 ** 2</gadget> <output>0.36</output> <gadget id="calculator">3.14 * 0.36 * 0.8</gadget> <output>0.90432</output> <result>0.90432</result>
0.90432
ape210k
Cut the cuboid plasticine whose length, width and height are 1.22 dm, 1.22 dm and 1.54 dm respectively into the largest cylinder. What is the volume of this cylinder?
<gadget id="calculator"> 1.22 / 2 </gadget> <output> 0.61 </output> <gadget id="calculator"> 0.61 ** 2 </gadget> <output> 0.3721 </output> <gadget id="calculator"> 3.14 * 0.3721 * 1.54 </gadget> <output> 1.799327 </output> <result> 1.799327 </result>
ape210k__00112492
10.3*9.7 (simple calculation)
<gadget id="calculator">10.3 * 9.7</gadget> <output>99.91</output> <result>99.91</result>
99.91
ape210k
255.0 * 34.49 (simple calculation)
<gadget id="calculator"> 255.0 * 34.49 </gadget> <output> 8794.95 </output> <result> 8794.95 </result>
ape210k__00611894
There are two cylindrical buckets, A and B, the bottom radius of A bucket is 12 cm, and the bottom radius of B bucket is 16 cm. There is no water in bucket A, but there is water in bucket B and the height is 20 cm. Now pour part of the water in bucket B into bucket A so that the height of the water in buckets A and B is the same. How many cubic centimeters of water is in bucket A at this time?
<gadget id="calculator">3.14 * 12 * 12 * 12.8</gadget> <output>5_787.648</output> <result>5_787.648</result>
5_787.648
ape210k
There are two cylindrical buckets, A and B, the bottom radius of A bucket is 4 cm, and the bottom radius of B bucket is 764 cm. There is no water in bucket A, but there is water in bucket B and the height is 224 cm. Now pour part of the water in bucket B into bucket A so that the height of the water in buckets A and B is the same. How many cubic centimeters of water is in bucket A at this time?
<gadget id="calculator"> 3.14 * 4 * 4 * 12.8 </gadget> <output> 643.072 </output> <result> 643.072 </result>
ape210k__01212935
The school bought back 10 desk lamps and 1 tape recorder, which cost a total of 1600 yuan. Each tape recorder is 800 yuan, how much is each desk lamp?
<gadget id="calculator">1_600 - 800</gadget> <output>800</output> <gadget id="calculator">800 / 10</gadget> <output>80</output> <result>80</result>
80
ape210k
The school bought back 62 desk lamps and 9 tape recorder, which cost a total of 61876 yuan. Each tape recorder is 520 yuan, how much is each desk lamp?
<gadget id="calculator"> 61876 - 61_356 </gadget> <output> 61_356 </output> <gadget id="calculator"> 61_356 / 62 </gadget> <output> 30_678/31 </output> <result> 30_678/31 </result>
ape210k__00112773
Dongdong usually goes to school every day by walking for 10 minutes and then running for 2 minutes. One day he started running after walking for 6 minutes, but he arrived 2 minutes earlier than usual. May I ask: How many times is Dongdong's running speed faster than his walking speed?
<gadget id="calculator">10 - 6</gadget> <output>4</output> <gadget id="calculator">4 - 2</gadget> <output>2</output> <gadget id="calculator">4 / 2</gadget> <output>2</output> <result>2</result>
2
ape210k
Dongdong usually goes to school every day by walking for 662 minutes and then running for 49 minutes. One day he started running after walking for 48 minutes, but he arrived 49 minutes earlier than usual. May I ask: How many times is Dongdong's running speed faster than his walking speed?
<gadget id="calculator"> 662 - 48 </gadget> <output> 614 </output> <gadget id="calculator"> 614 - 565 </gadget> <output> 565 </output> <gadget id="calculator"> 614 / 614/565 </gadget> <output> 614/565 </output> <result> 614/565 </result>
math_qa__ITGwUQ2HuCCDv3Ni
Solve the equation for x : 14(-x + z) + 18 = -14(x - z) - 10 Choose the correct choice from the following options: A) - 2 B) - 1 C) 0 D) 1 E) 2
<gadget id="calculator">18 + 10</gadget> <output>28</output> <gadget id="calculator">14 + 14</gadget> <output>28</output> <gadget id="calculator">28 / 28</gadget> <output>1</output> <result>D</result>
D
math_qa
Solve the equation for x : 940 (-x + z) + 891 = - 940 (x - z) - 929 Choose the correct choice from the following options: A) - 85 B) - 1 C) 11 D) 1 E) 85
<gadget id="calculator"> 891 + 929 </gadget> <output> 1_820 </output> <gadget id="calculator"> 940 + 940 </gadget> <output> 1_880 </output> <gadget id="calculator"> 1_880 / 1_880 </gadget> <output> 1 </output> <result>D</result>
ape210k__00532878
Guangming Cinema originally had 32 rows of seats, with an average of 38 seats in each row. After the expansion, it has increased to 40 rows, which is 704 more seats than before. After the expansion, how many people can be seated in each row on average?
<gadget id="calculator">38 * 32</gadget> <output>1_216</output> <gadget id="calculator">1_216 + 704</gadget> <output>1_920</output> <gadget id="calculator">1_920 / 40</gadget> <output>48</output> <result>48</result>
48
ape210k
Guangming Cinema originally had 122 rows of seats, with an average of 183 seats in each row. After the expansion, it has increased to 551 rows, which is 6440 more seats than before. After the expansion, how many people can be seated in each row on average?
<gadget id="calculator"> 183 * 122 </gadget> <output> 22_326 </output> <gadget id="calculator"> 22_326 + 6440 </gadget> <output> 28_766 </output> <gadget id="calculator"> 28_766 / 551 </gadget> <output> 1_514/29 </output> <result> 1_514/29 </result>
ape210k__00371548
A road construction team built a section of road. On the first day, they built 74.8 meters. On the second day, they repaired 8.2 meters more than the first day. On the third day, they repaired 11.6 meters less than the second day. How many meters were repaired on the third day?
<gadget id="calculator">74.8 + 8.2</gadget> <output>83</output> <gadget id="calculator">83 - 11.6</gadget> <output>71.4</output> <result>71.4</result>
71.4
ape210k
A road construction team built a section of road. On the first day, they built 775.02 meters. On the second day, they repaired 39.59 meters more than the first day. On the third day, they repaired 690.92 meters less than the second day. How many meters were repaired on the third day?
<gadget id="calculator"> 775.02 + 39.59 </gadget> <output> 814.61 </output> <gadget id="calculator"> 814.61 - 690.92 </gadget> <output> 123.69 </output> <result> 123.69 </result>
ape210k__00097501
A bottle of fruit juice, Li Ming drank (1/2) of it for the first time, (1/3) of it for the second time, finished the rest for the third time, and drank some of the juice for the third time How much?
<gadget id="calculator">1 / 2</gadget> <output>1/2 = around 0.5</output> <gadget id="calculator">1 / 3</gadget> <output>1/3 = around 0.333333</output> <gadget id="calculator">1 - (1/2) - (1/3)</gadget> <output>1/6 = around 0.166667</output> <result>1/6 = around 0.166667</result>
1/6
ape210k
A bottle of fruit juice, Li Ming drank ( 15 / 98 ) of it for the first time, ( 15 / 5 ) of it for the second time, finished the rest for the third time, and drank some of the juice for the third time How much?
<gadget id="calculator"> 15 / 98 </gadget> <output> 15/98 </output> <gadget id="calculator"> 15 / 5 </gadget> <output> 3 </output> <gadget id="calculator"> 15 - ( 15 / 98 ) - ( 15 / 5 )</gadget> <output> 1_161/98 </output> <result> 1_161/98 </result>
ape210k__00216650
Use 112cm wire to form a cuboid frame. The ratio of length, width and height is 4:2:1. A layer of paper is to be pasted on the surface of the cuboid. What is the surface area of the cuboid in cm**2.
<gadget id="calculator">112 / 4</gadget> <output>28</output> <gadget id="calculator">4 + 2 + 1</gadget> <output>7</output> <gadget id="calculator">4 / 7</gadget> <output>4/7 = around 0.571429</output> <gadget id="calculator">2 / 7</gadget> <output>2/7 = around 0.285714</output> <gadget id="calculator">28 * (4/7) * 28 * (2/7)</gadget> <output>128</output> <gadget id="calculator">1 / 7</gadget> <output>1/7 = around 0.142857</output> <gadget id="calculator">28 * (2/7) * 28 * (1/7)</gadget> <output>32</output> <gadget id="calculator">28 * (4/7) * 28 * (1/7)</gadget> <output>64</output> <gadget id="calculator">128 + 32 + 64</gadget> <output>224</output> <gadget id="calculator">224 * 2</gadget> <output>448</output> <result>448</result>
448
ape210k
Use 85 cm wire to form a cuboid frame. The ratio of length, width and height is 1 : 1 : 1 . A layer of paper is to be pasted on the surface of the cuboid. What is the surface area of the cuboid in cm** 1 .
<gadget id="calculator"> 85 / 1 </gadget> <output> 85 </output> <gadget id="calculator"> 1 + 1 + 1 </gadget> <output> 3 </output> <gadget id="calculator"> 1 / 3 </gadget> <output> 1/3 </output> <gadget id="calculator"> 1 / 3 </gadget> <output> 1/3 </output> <gadget id="calculator"> 85 * ( 1 / 3 ) * 85 * ( 1 / 3 )</gadget> <output> 7_225/9 </output> <gadget id="calculator"> 1 / 3 </gadget> <output> 1/3 </output> <gadget id="calculator"> 85 * ( 1 / 3 ) * 85 * ( 1 / 3 )</gadget> <output> 7_225/9 </output> <gadget id="calculator"> 85 * ( 1 / 3 ) * 85 * ( 1 / 3 )</gadget> <output> 7_225/9 </output> <gadget id="calculator"> 7_225/9 + 7_225/9 + 7_225/9 </gadget> <output> 7_225/3 </output> <gadget id="calculator"> 7_225/3 * 1 </gadget> <output> 7_225/3 </output> <result> 7_225/3 </result>
ape210k__00550944
9.1/0.14=65,910/14.
<gadget id="calculator">9.1 / 0.14</gadget> <output>65</output> <result>65</result>
65
ape210k
7.31 / 95.05 = 412 , 7192 / 240 .
<gadget id="calculator"> 7.31 / 95.05 </gadget> <output> 0.076907 </output> <result> 0.076907 </result>
math_qa__lARyVxxRbMLeaxgR
If T = 5/9 * (K - 32), and if T = 20, then what is the value of K? Choose the correct choice from the following. A) 68 B) 70 C) 72 D) 74 E) 76
<gadget id="calculator">20 * 9</gadget> <output>180</output> <gadget id="calculator">180 / 5</gadget> <output>36</output> <gadget id="calculator">36 + 32</gadget> <output>68</output> <result>A</result>
A
math_qa
If T = 18 / 65 * (K - 297 ), and if T = 240 , then what is the value of K? Choose the correct choice from the following. A) 3_491/3 B) 939 C) 750 D) 590 E) 327
<gadget id="calculator"> 240 * 65 </gadget> <output> 15_600 </output> <gadget id="calculator"> 15_600 / 18 </gadget> <output> 2_600/3 </output> <gadget id="calculator"> 2_600/3 + 297 </gadget> <output> 3_491/3 </output> <result>A</result>
gsm8k__WBCLvO4GzDZyWjZg
James had two browsers on his computer. In each browser, he opened three windows, each with ten tabs. What's the total number of tabs he opened in all the browsers together?
The total number of tabs in three windows of each browser is 10*3 = <gadget id="calculator">10*3</gadget> <output>30</output> 30 tabs. If James had two browsers on his computer and in each browser he opened three windows, the total number of tabs in the two browsers is 2*30 = <gadget id="calculator">2*30</gadget> <output>60</output> 60 tabs. <result>60</result>
60
gsm8k
James had two browsers on his computer. In each browser, he opened three windows, each with ten tabs. What's the total number of tabs he opened in all the browsers together?
The total number of tabs in three windows of each browser is 10 * 3 = <gadget id="calculator"> 10 * 3 </gadget> <output> 30 </output> 30 tabs. If James had two browsers on his computer and in each browser he opened three windows, the total number of tabs in the two browsers is 2 * 30 = <gadget id="calculator"> 2 * 30 </gadget> <output> 60 </output> 60 tabs. <result> 60 </result>
ape210k__00596385
The number A is equal to 480, which is 12 times that number.
<gadget id="calculator">480 / 12</gadget> <output>40</output> <result>40</result>
40
ape210k
The number A is equal to 9462 , which is 613 times that number.
<gadget id="calculator"> 9462 / 613 </gadget> <output> 9_462/613 </output> <result> 9_462/613 </result>
ape210k__00722247
The altitude of A is -150 meters, and the altitude of B is 135 meters. How many meters is the difference between A and B?
<gadget id="calculator">135 - (-150)</gadget> <output>285</output> <result>285</result>
285
ape210k
The altitude of A is - 5254 meters, and the altitude of B is 3882 meters. How many meters is the difference between A and B?
<gadget id="calculator"> 3882 - (- 5254 )</gadget> <output> 9_136 </output> <result> 9_136 </result>
ape210k__01128951
What is the difference between 310 minus the quotient of 256 and 8?
<gadget id="calculator">256 / 8</gadget> <output>32</output> <gadget id="calculator">310 - 32</gadget> <output>278</output> <result>278</result>
278
ape210k
What is the difference between 4945 minus the quotient of 2348 and 85 ?
<gadget id="calculator"> 2348 / 85 </gadget> <output> 2_348/85 </output> <gadget id="calculator"> 4945 - 2_348/85 </gadget> <output> 417_977/85 </output> <result> 417_977/85 </result>
ape210k__01042003
A highway was repaired (2/5) in the first week, and the rest (1/2) was repaired in the second week, and how much remained unrepaired.
<gadget id="calculator">3 / 5</gadget> <output>3/5 = around 0.6</output> <gadget id="calculator">3 / 10</gadget> <output>3/10 = around 0.3</output> <gadget id="calculator">1 - (3/5) - (3/10)</gadget> <output>1/10 = around 0.1</output> <result>1/10 = around 0.1</result>
1/10
ape210k
A highway was repaired ( 39 / 29 ) in the first week, and the rest ( 53 / 39 ) was repaired in the second week, and how much remained unrepaired.
<gadget id="calculator"> 3 / 29 </gadget> <output> 3/29 </output> <gadget id="calculator"> 3 / 10 </gadget> <output> 3/10 </output> <gadget id="calculator"> 53 - ( 3 / 29 ) - ( 3 / 10 )</gadget> <output> 15_253/290 </output> <result> 15_253/290 </result>
ape210k__00340001
Put a 2 meters. If a cylindrical steel material with an area of 3.14 square decimeters is cut into two equal sections, how much does the surface area increase?
<gadget id="calculator">3.14 * 2</gadget> <output>6.28</output> <result>6.28</result>
6.28
ape210k
Put a 36 meters. If a cylindrical steel material with an area of 8.71 square decimeters is cut into two equal sections, how much does the surface area increase?
<gadget id="calculator"> 8.71 * 36 </gadget> <output> 313.56 </output> <result> 313.56 </result>
ape210k__00460126
5 people are playing a game, and the number of people running is 7 times that of playing games. How many people are running?
<gadget id="calculator">5 * 7</gadget> <output>35</output> <result>35</result>
35
ape210k
45 people are playing a game, and the number of people running is 45 times that of playing games. How many people are running?
<gadget id="calculator"> 45 * 45 </gadget> <output> 2_025 </output> <result> 2_025 </result>
ape210k__00626403
Xiao Ming went from home to school, looked at the time, and knew that if he walked at 80 meters per minute, he would be 10 minutes late. If he walked at a 25% speed, he had just arrived at school, and asked how many meters was the distance between Xiao Ming and school?
<gadget id="calculator">25 / 100</gadget> <output>1/4 = around 0.25</output> <gadget id="calculator">1 + (1/4)</gadget> <output>5/4 = around 1.25</output> <gadget id="calculator">80 * (5/4) * 10</gadget> <output>1_000</output> <gadget id="calculator">80 * (5/4)</gadget> <output>100</output> <gadget id="calculator">100 - 80</gadget> <output>20</output> <gadget id="calculator">1_000 / 20</gadget> <output>50</output> <gadget id="calculator">80 * 50</gadget> <output>4_000</output> <result>4_000</result>
4_000
ape210k
Xiao Ming went from home to school, looked at the time, and knew that if he walked at 965 meters per minute, he would be 659 minutes late. If he walked at a 688 % speed, he had just arrived at school, and asked how many meters was the distance between Xiao Ming and school?
<gadget id="calculator"> 688 / 100 </gadget> <output> 172/25 </output> <gadget id="calculator"> 1 + ( 1 / 4 )</gadget> <output> 5/4 </output> <gadget id="calculator"> 965 * ( 5 / 4 ) * 659 </gadget> <output> 3_179_675/4 </output> <gadget id="calculator"> 965 * ( 5 / 4 )</gadget> <output> 4_825/4 </output> <gadget id="calculator"> 4_825/4 - 965 </gadget> <output> 965/4 </output> <gadget id="calculator"> 3_179_675/4 / 965/4 </gadget> <output> 3_295/16 </output> <gadget id="calculator"> 965 * 3_295/16 </gadget> <output> 3_179_675/16 </output> <result> 3_179_675/16 </result>
ape210k__00687059
The little squirrel can pick 20 pine nuts per day on sunny days and 12 per day on rainy days. It picked 116 pine nuts in total last week. How many days were rainy last week?
<gadget id="calculator">20 * 7</gadget> <output>140</output> <gadget id="calculator">140 - 116</gadget> <output>24</output> <gadget id="calculator">20 - 12</gadget> <output>8</output> <gadget id="calculator">24 / 8</gadget> <output>3</output> <result>3</result>
3
ape210k
The little squirrel can pick 826 pine nuts per day on sunny days and 475 per day on rainy days. It picked 945 pine nuts in total last week. How many days were rainy last week?
<gadget id="calculator"> 826 * 7 </gadget> <output> 5_782 </output> <gadget id="calculator"> 5_782 - 945 </gadget> <output> 4_837 </output> <gadget id="calculator"> 826 - 475 </gadget> <output> 351 </output> <gadget id="calculator"> 4_837 / 351 </gadget> <output> 4_837/351 </output> <result> 4_837/351 </result>
ape210k__00567747
On October 1, 2008, Grandma Zhang deposited the 8,000 yuan sent by her son in the bank. The deposit period is 5 years, and the annual interest rate is 5.85%. Yuan?
<gadget id="calculator">5.85 / 100</gadget> <output>0.0585</output> <gadget id="calculator">5 / 100</gadget> <output>1/20 = around 0.05</output> <gadget id="calculator">1 - (1/20)</gadget> <output>19/20 = around 0.95</output> <gadget id="calculator">8_000 * 0.0585 * 5 * (19/20)</gadget> <output>2_223</output> <gadget id="calculator">8_000 + 2_223</gadget> <output>10_223</output> <result>10_223</result>
10_223
ape210k
On October 72 , 54091 , Grandma Zhang deposited the 54 , 9131 yuan sent by her son in the bank. The deposit period is 68 years, and the annual interest rate is 18.49 %. Yuan?
<gadget id="calculator"> 18.49 / 100 </gadget> <output> 0.1849 </output> <gadget id="calculator"> 68 / 100 </gadget> <output> 17/25 </output> <gadget id="calculator"> 72 - ( 72 / 20 )</gadget> <output> 342/5 </output> <gadget id="calculator"> 8000 * 0.1849 * 68 * ( 19 / 20 )</gadget> <output> 95556.32 </output> <gadget id="calculator"> 8000 + 95556.32 </gadget> <output> 103556.32 </output> <result> 103556.32 </result>
ape210k__00337189
64+27+81+36+173+219+156.
<gadget id="calculator">64 + 27 + 81 + 36 + 173 + 219 + 156</gadget> <output>756</output> <result>756</result>
756
ape210k
249 + 262 + 209 + 339 + 1296 + 7370 + 6080 .
<gadget id="calculator"> 249 + 262 + 209 + 339 + 1296 + 7370 + 6080 </gadget> <output> 15_805 </output> <result> 15_805 </result>
ape210k__00029672
There are 100 girls in the sixth grade of Huayang Primary School, and boys account for 5/9 of the total number of students in the whole grade. How many students are there in the whole grade?
<gadget id="calculator">5 / 9</gadget> <output>5/9 = around 0.555556</output> <gadget id="calculator">1 - (5/9)</gadget> <output>4/9 = around 0.444444</output> <gadget id="calculator">100 / (4/9)</gadget> <output>225</output> <result>225</result>
225
ape210k
There are 1515 girls in the sixth grade of Huayang Primary School, and boys account for 69 / 93 of the total number of students in the whole grade. How many students are there in the whole grade?
<gadget id="calculator"> 69 / 93 </gadget> <output> 23/31 </output> <gadget id="calculator"> 1 - ( 69 / 93 )</gadget> <output> 8/31 </output> <gadget id="calculator"> 1515 / ( 4 / 93 )</gadget> <output> 140_895/4 </output> <result> 140_895/4 </result>
ape210k__00012962
When painting a classroom of 120 square meters, it generally needs to be painted twice. About 0.5 liters of paint is used per square meter for the first pass, and the paint required per square meter for the second pass is the first pass (3/5). How much paint is needed in total?
<gadget id="calculator">0.5 * 120</gadget> <output>60</output> <gadget id="calculator">3 / 5</gadget> <output>3/5 = around 0.6</output> <gadget id="calculator">60 * (3/5)</gadget> <output>36</output> <gadget id="calculator">60 + 36</gadget> <output>96</output> <result>96</result>
96
ape210k
When painting a classroom of 3121 square meters, it generally needs to be painted twice. About 7.34 liters of paint is used per square meter for the first pass, and the paint required per square meter for the second pass is the first pass ( 49 / 87 ). How much paint is needed in total?
<gadget id="calculator"> 7.34 * 3121 </gadget> <output> 22908.14 </output> <gadget id="calculator"> 49 / 87 </gadget> <output> 49/87 </output> <gadget id="calculator"> 22908.14 * ( 49 / 87 )</gadget> <output> 12902.285747 </output> <gadget id="calculator"> 22908.14 + 12902.285747 </gadget> <output> 35810.425747 </output> <result> 35810.425747 </result>
ape210k__00910337
Teacher Zhao went to the store to buy office supplies. It cost 17.9 yuan to buy a pen, which is 4.8 yuan more than buying paper. Teacher Zhao gave the salesperson 50 yuan. How much should I get back?
<gadget id="calculator">17.9 - 4.8</gadget> <output>13.1</output> <gadget id="calculator">17.9 + 13.1</gadget> <output>31</output> <gadget id="calculator">50 - 31</gadget> <output>19</output> <result>19</result>
19
ape210k
Teacher Zhao went to the store to buy office supplies. It cost 47.72 yuan to buy a pen, which is 29.94 yuan more than buying paper. Teacher Zhao gave the salesperson 150 yuan. How much should I get back?
<gadget id="calculator"> 47.72 - 29.94 </gadget> <output> 17.78 </output> <gadget id="calculator"> 47.72 + 17.78 </gadget> <output> 65.5 </output> <gadget id="calculator"> 150 - 65.5 </gadget> <output> 84.5 </output> <result> 84.5 </result>
ape210k__00116874
The perimeter of a square is 12 cm. Draw a largest circle inside the square. What is the circumference of this circle in cm?
<gadget id="calculator">12 / 4</gadget> <output>3</output> <gadget id="calculator">3.14 * 3</gadget> <output>9.42</output> <result>9.42</result>
9.42
ape210k
The perimeter of a square is 537 cm. Draw a largest circle inside the square. What is the circumference of this circle in cm?
<gadget id="calculator"> 537 / 4 </gadget> <output> 537/4 </output> <gadget id="calculator"> 3.14 * 537/4 </gadget> <output> 421.545 </output> <result> 421.545 </result>
ape210k__00193041
If the base and height of a parallelogram are both increased by 20%, what is the increase in its area?
<gadget id="calculator">1.44 - 1</gadget> <output>0.44</output> <gadget id="calculator">0.44 / 1</gadget> <output>0.44</output> <result>0.44</result>
0.44
ape210k
If the base and height of a parallelogram are both increased by 423 %, what is the increase in its area?
<gadget id="calculator"> 1.44 - 1 </gadget> <output> 0.44 </output> <gadget id="calculator"> 0.44 / 1 </gadget> <output> 0.44 </output> <result> 0.44 </result>
ape210k__01207279
Given that the length of a rectangle is 4cm and the width is 3cm, how can it be rolled into a cylinder with the largest volume? What is the maximum cubic centimeter of the cylinder? (retain two decimal places)
<gadget id="calculator">4 ** 2</gadget> <output>16</output> <gadget id="calculator">3.14 * 16 * 3</gadget> <output>150.72</output> <result>150.72</result>
150.72
ape210k
Given that the length of a rectangle is 1 cm and the width is 1 cm, how can it be rolled into a cylinder with the largest volume? What is the maximum cubic centimeter of the cylinder? (retain two decimal places)
<gadget id="calculator"> 1 ** 2 </gadget> <output> 1 </output> <gadget id="calculator"> 3.14 * 1 * 1 </gadget> <output> 3.14 </output> <result> 3.14 </result>
ape210k__00785559
There are 80 color TV sets in the store, after selling 25 sets, another 40 sets are shipped. How many color TVs does the store have?
<gadget id="calculator">80 - 25</gadget> <output>55</output> <gadget id="calculator">55 + 40</gadget> <output>95</output> <result>95</result>
95
ape210k
There are 833 color TV sets in the store, after selling 715 sets, another 691 sets are shipped. How many color TVs does the store have?
<gadget id="calculator"> 833 - 715 </gadget> <output> 118 </output> <gadget id="calculator"> 118 + 691 </gadget> <output> 809 </output> <result> 809 </result>
ape210k__00070228
During the earthquake relief work, two engineering teams of the garrison were rushing to repair a section of blocked road about 201.5 meters long. Team A can rush to repair 15 meters per day, team B can repair 16 meters per day, and the two engineering teams rush to repair at the same time. How many days will it take to get through this road?
<gadget id="calculator">15 + 16</gadget> <output>31</output> <gadget id="calculator">201.5 / 31</gadget> <output>6.5</output> <result>6.5</result>
6.5
ape210k
During the earthquake relief work, two engineering teams of the garrison were rushing to repair a section of blocked road about 7055.22 meters long. Team A can rush to repair 110 meters per day, team B can repair 941 meters per day, and the two engineering teams rush to repair at the same time. How many days will it take to get through this road?
<gadget id="calculator"> 110 + 941 </gadget> <output> 1_051 </output> <gadget id="calculator"> 7055.22 / 1_051 </gadget> <output> 6.712864 </output> <result> 6.712864 </result>
ape210k__00239331
The school assigns the task of maintaining 72 small trees on campus to Classes 1 and 2 according to the ratio of 5:4. What is the task of class 1 to maintain the small trees?
<gadget id="calculator">5 + 4</gadget> <output>9</output> <gadget id="calculator">5 / 9</gadget> <output>5/9 = around 0.555556</output> <gadget id="calculator">72 * (5/9)</gadget> <output>40</output> <result>40</result>
40
ape210k
The school assigns the task of maintaining 99 small trees on campus to Classes 80 and 20 according to the ratio of 31 : 25 . What is the task of class 80 to maintain the small trees?
<gadget id="calculator"> 31 + 25 </gadget> <output> 56 </output> <gadget id="calculator"> 31 / 56 </gadget> <output> 31/56 </output> <gadget id="calculator"> 99 * ( 31 / 56 )</gadget> <output> 3_069/56 </output> <result> 3_069/56 </result>
ape210k__01061939
The output of a factory in April increased by (1/5) compared with that in March. What is the output of this factory in April?
<gadget id="calculator">1 / 5</gadget> <output>1/5 = around 0.2</output> <gadget id="calculator">1 + (1/5)</gadget> <output>6/5 = around 1.2</output> <result>6/5 = around 1.2</result>
6/5
ape210k
The output of a factory in April increased by ( 68 / 33 ) compared with that in March. What is the output of this factory in April?
<gadget id="calculator"> 68 / 33 </gadget> <output> 68/33 </output> <gadget id="calculator"> 68 + ( 68 / 33 )</gadget> <output> 2_312/33 </output> <result> 2_312/33 </result>
ape210k__00555861
Li Dong took 5 yuan to buy stationery and bought 6 similar pencils at 0.25 yuan each. He used the remaining money to buy exercise books. Each exercise book was 0.35 yuan. How many such exercise books can he buy.
<gadget id="calculator">6 * 0.25</gadget> <output>1.5</output> <gadget id="calculator">5 - 1.5</gadget> <output>3.5</output> <gadget id="calculator">3.5 / 0.35</gadget> <output>10</output> <result>10</result>
10
ape210k
Li Dong took 5 yuan to buy stationery and bought 6 similar pencils at 0.25 yuan each. He used the remaining money to buy exercise books. Each exercise book was 0.35 yuan. How many such exercise books can he buy.
<gadget id="calculator"> 6 * 0.25 </gadget> <output> 1.5 </output> <gadget id="calculator"> 5 - 1.5 </gadget> <output> 3.5 </output> <gadget id="calculator"> 3.5 / 0.35 </gadget> <output> 10 </output> <result> 10 </result>
ape210k__00904897
An engineering team wants to pave a road. The original plan is to pave 120 meters per day, which can be completed in 15 days. If the pavement needs to be completed 2.5 days ahead of schedule, how many percent will the road paved every day increase compared to the original plan?
<gadget id="calculator">120 * 15</gadget> <output>1_800</output> <gadget id="calculator">15 - 2.5</gadget> <output>12.5</output> <gadget id="calculator">1_800 / 12.5</gadget> <output>144</output> <gadget id="calculator">144 - 120</gadget> <output>24</output> <gadget id="calculator">24 / 120</gadget> <output>1/5 = around 0.2</output> <result>1/5 = around 0.2</result>
1/5
ape210k
An engineering team wants to pave a road. The original plan is to pave 158 meters per day, which can be completed in 497 days. If the pavement needs to be completed 18.24 days ahead of schedule, how many percent will the road paved every day increase compared to the original plan?
<gadget id="calculator"> 158 * 497 </gadget> <output> 78_526 </output> <gadget id="calculator"> 497 - 18.24 </gadget> <output> 478.76 </output> <gadget id="calculator"> 78_526 / 478.76 </gadget> <output> 164.019551 </output> <gadget id="calculator"> 164.019551 - 158 </gadget> <output> 6.019551 </output> <gadget id="calculator"> 6.019551 / 158 </gadget> <output> 0.038098 </output> <result> 0.038098 </result>
ape210k__00297565
There are 16 apple trees in a row, and the distance between two adjacent trees is 3 meters. There is a well next to the first tree. Xiao Ming uses a bucket to water the apple trees. How many meters did Xiao Ming walk for one tree?
<gadget id="calculator">8 - 1</gadget> <output>7</output> <gadget id="calculator">7 * 12</gadget> <output>84</output> <gadget id="calculator">6 + 84</gadget> <output>90</output> <gadget id="calculator">6 + 90</gadget> <output>96</output> <gadget id="calculator">8 / 2</gadget> <output>4</output> <gadget id="calculator">96 * 4</gadget> <output>384</output> <gadget id="calculator">90 / 2</gadget> <output>45</output> <gadget id="calculator">384 - 45</gadget> <output>339</output> <result>339</result>
339
ape210k
There are 835 apple trees in a row, and the distance between two adjacent trees is 50 meters. There is a well next to the first tree. Xiao Ming uses a bucket to water the apple trees. How many meters did Xiao Ming walk for one tree?
<gadget id="calculator"> 8 - 1 </gadget> <output> 7 </output> <gadget id="calculator"> 7 * 12 </gadget> <output> 84 </output> <gadget id="calculator"> 6 + 84 </gadget> <output> 90 </output> <gadget id="calculator"> 6 + 90 </gadget> <output> 96 </output> <gadget id="calculator"> 8 / 2 </gadget> <output> 4 </output> <gadget id="calculator"> 96 * 4 </gadget> <output> 384 </output> <gadget id="calculator"> 90 / 2 </gadget> <output> 45 </output> <gadget id="calculator"> 384 - 45 </gadget> <output> 339 </output> <result> 339 </result>
ape210k__00866487
The factory processes a batch of parts. It has been processing for 3 days, 216 parts are processed every day, and there are still 159 parts left to complete the task. How many parts are there in total?
<gadget id="calculator">216 * 3</gadget> <output>648</output> <gadget id="calculator">648 + 159</gadget> <output>807</output> <result>807</result>
807
ape210k
The factory processes a batch of parts. It has been processing for 11 days, 9264 parts are processed every day, and there are still 506 parts left to complete the task. How many parts are there in total?
<gadget id="calculator"> 9264 * 11 </gadget> <output> 101_904 </output> <gadget id="calculator"> 101_904 + 506 </gadget> <output> 102_410 </output> <result> 102_410 </result>
ape210k__00431982
If the radius of the larger circle is twice the radius of the smaller circle, then how many times the diameter of the larger circle is the diameter of the smaller circle.
<result>2</result>
2
ape210k
If the radius of the larger circle is twice the radius of the smaller circle, then how many times the diameter of the larger circle is the diameter of the smaller circle.
<result> 2 </result>
ape210k__00436557
The perimeter of a rectangle is 70 cm, and the ratio of length to width is 5:2. What is the area of the rectangle?
<gadget id="calculator">70 / 2</gadget> <output>35</output> <gadget id="calculator">5 + 2</gadget> <output>7</output> <gadget id="calculator">5 / 7</gadget> <output>5/7 = around 0.714286</output> <gadget id="calculator">35 * (5/7)</gadget> <output>25</output> <gadget id="calculator">2 / 7</gadget> <output>2/7 = around 0.285714</output> <gadget id="calculator">35 * (2/7)</gadget> <output>10</output> <gadget id="calculator">25 * 10</gadget> <output>250</output> <result>250</result>
250
ape210k
The perimeter of a rectangle is 815 cm, and the ratio of length to width is 98 : 29 . What is the area of the rectangle?
<gadget id="calculator"> 815 / 29 </gadget> <output> 815/29 </output> <gadget id="calculator"> 98 + 29 </gadget> <output> 127 </output> <gadget id="calculator"> 98 / 127 </gadget> <output> 98/127 </output> <gadget id="calculator"> 815/29 * ( 98 / 127 )</gadget> <output> 79_870/3_683 </output> <gadget id="calculator"> 29 / 127 </gadget> <output> 29/127 </output> <gadget id="calculator"> 815/29 * ( 29 / 127 )</gadget> <output> 815/127 </output> <gadget id="calculator"> 79_870/3_683 * 815/127 </gadget> <output> 65_094_050/467_741 </output> <result> 65_094_050/467_741 </result>
ape210k__00425358
What is the solution of equation (1/2)x=8
<gadget id="calculator">1 / 2</gadget> <output>1/2 = around 0.5</output> <gadget id="calculator">8 / (1/2)</gadget> <output>16</output> <result>16</result>
16
ape210k
What is the solution of equation ( 38 / 5 )x= 36
<gadget id="calculator"> 38 / 5 </gadget> <output> 38/5 </output> <gadget id="calculator"> 36 / ( 38 / 5 )</gadget> <output> 90/19 </output> <result> 90/19 </result>
ape210k__00485353
7.25-1.4*(15/7).
<gadget id="calculator">15 / 7</gadget> <output>15/7 = around 2.142857</output> <gadget id="calculator">1.4 * (15/7)</gadget> <output>3</output> <gadget id="calculator">7.25 - 3</gadget> <output>4.25</output> <result>4.25</result>
4.25
ape210k
70.46 - 70.96 *( 43 / 98 ).
<gadget id="calculator"> 43 / 98 </gadget> <output> 43/98 </output> <gadget id="calculator"> 70.96 * ( 43 / 98 )</gadget> <output> 31.13551 </output> <gadget id="calculator"> 70.46 - 31.13551 </gadget> <output> 39.32449 </output> <result> 39.32449 </result>
math_qa__rgYTORTzzQ9eE7E6
A man can row his boat with the stream at 20 km/h and against the stream in 4 km/h. The man's rate is? Answers A) 1 kmph B) 7 kmph C) 98 kmph D) 6 kmph E) 8 kmph
<gadget id="calculator">20 - 4</gadget> <output>16</output> <gadget id="calculator">16 / 2</gadget> <output>8</output> <result>E</result>
E
math_qa
A man can row his boat with the stream at 737 km/h and against the stream in 57 km/h. The man's rate is? Answers A) 70 kmph B) 28 kmph C) 436 kmph D) 14 kmph E) 340
<gadget id="calculator"> 737 - 57 </gadget> <output> 680 </output> <gadget id="calculator"> 680 / 2 </gadget> <output> 340 </output> <result>E</result>
ape210k__00358848
Qianyu reads a book. After a few days, the ratio of pages read to unread is 3:4. After reading another 44 pages, the ratio of pages read to unread becomes 5:3. This book How many pages are there?
<gadget id="calculator">5 + 3</gadget> <output>8</output> <gadget id="calculator">5 / 8</gadget> <output>5/8 = around 0.625</output> <gadget id="calculator">3 + 4</gadget> <output>7</output> <gadget id="calculator">3 / 7</gadget> <output>3/7 = around 0.428571</output> <gadget id="calculator">(5/8) - (3/7)</gadget> <output>11/56 = around 0.196429</output> <gadget id="calculator">44 / (11/56)</gadget> <output>224</output> <result>224</result>
224
ape210k
Qianyu reads a book. After a few days, the ratio of pages read to unread is 27 : 100 . After reading another 832 pages, the ratio of pages read to unread becomes 31 : 27 . This book How many pages are there?
<gadget id="calculator"> 31 + 27 </gadget> <output> 58 </output> <gadget id="calculator"> 31 / 58 </gadget> <output> 31/58 </output> <gadget id="calculator"> 27 + 100 </gadget> <output> 127 </output> <gadget id="calculator"> 27 / 127 </gadget> <output> 27/127 </output> <gadget id="calculator">( 31 / 58 ) - ( 27 / 127 )</gadget> <output> 2_371/7_366 </output> <gadget id="calculator"> 832 / ( 11 / 56 )</gadget> <output> 46_592/11 </output> <result> 46_592/11 </result>
ape210k__00427719
If two cubes with side lengths of 5 cm are put together to form a cuboid, what is the surface area of the cuboid in square centimeters? (answer in two ways)
<gadget id="calculator">5 + 5</gadget> <output>10</output> <gadget id="calculator">10 * 5 * 4</gadget> <output>200</output> <gadget id="calculator">5 * 5 * 2</gadget> <output>50</output> <gadget id="calculator">200 + 50</gadget> <output>250</output> <result>250</result>
250
ape210k
If two cubes with side lengths of 95 cm are put together to form a cuboid, what is the surface area of the cuboid in square centimeters? (answer in two ways)
<gadget id="calculator"> 95 + 95 </gadget> <output> 190 </output> <gadget id="calculator"> 190 * 95 * 4 </gadget> <output> 72_200 </output> <gadget id="calculator"> 95 * 95 * 2 </gadget> <output> 18_050 </output> <gadget id="calculator"> 72_200 + 18_050 </gadget> <output> 90_250 </output> <result> 90_250 </result>
ape210k__00354868
Li Yin plans to finish reading "The World of Fairy Tales" in 15 days. He reads 2 pages more than Wang Xing every day, so Wang Xing needs 3 more days to finish reading than Li Yin. How many pages are there in the book "Fairy Tale World"?
<gadget id="calculator">2 * 15</gadget> <output>30</output> <gadget id="calculator">2 * 3</gadget> <output>6</output> <gadget id="calculator">30 + 6</gadget> <output>36</output> <gadget id="calculator">1 / 15</gadget> <output>1/15 = around 0.066667</output> <gadget id="calculator">(1/15) * 15</gadget> <output>1</output> <gadget id="calculator">(1/15) * 3</gadget> <output>1/5 = around 0.2</output> <gadget id="calculator">(1/5) - 1</gadget> <output>-4/5 = around -0.8</output> <gadget id="calculator">1 + (-4/5)</gadget> <output>1/5 = around 0.2</output> <gadget id="calculator">36 / (1/5)</gadget> <output>180</output> <result>180</result>
180
ape210k
Li Yin plans to finish reading "The World of Fairy Tales" in 15 days. He reads 2 pages more than Wang Xing every day, so Wang Xing needs 3 more days to finish reading than Li Yin. How many pages are there in the book "Fairy Tale World"?
<gadget id="calculator"> 2 * 15 </gadget> <output> 30 </output> <gadget id="calculator"> 2 * 3 </gadget> <output> 6 </output> <gadget id="calculator"> 30 + 6 </gadget> <output> 36 </output> <gadget id="calculator"> 1 / 15 </gadget> <output> 1 / 15 = around 0.066667 </output> <gadget id="calculator">( 1 / 15 ) * 15 </gadget> <output> 1 </output> <gadget id="calculator">( 1 / 15 ) * 3 </gadget> <output> 1 / 5 = around 0.2 </output> <gadget id="calculator">( 1 / 5 ) - 1 </gadget> <output>- 4 / 5 = around - 0.8 </output> <gadget id="calculator"> 1 + (- 4 / 5 )</gadget> <output> 1 / 5 = around 0.2 </output> <gadget id="calculator"> 36 / ( 1 / 5 )</gadget> <output> 180 </output> <result> 180 </result>
ape210k__00214516
The sports room bought 16 basketballs and spent a total of 960 yuan. According to this calculation, how much will it cost to buy another 25 basketballs?
<gadget id="calculator">960 / 16</gadget> <output>60</output> <gadget id="calculator">60 * 25</gadget> <output>1_500</output> <result>1_500</result>
1_500
ape210k
The sports room bought 903 basketballs and spent a total of 4903 yuan. According to this calculation, how much will it cost to buy another 141 basketballs?
<gadget id="calculator"> 4903 / 903 </gadget> <output> 4_903/903 </output> <gadget id="calculator"> 4_903/903 * 141 </gadget> <output> 230_441/301 </output> <result> 230_441/301 </result>
ape210k__00514476
A cube container with a side length of 8dm is filled with water. Now pour water into a cuboid container with a length of 16m and a width of 4m. What is the height of the water in the cuboid in dm?
<gadget id="calculator">16 * 10</gadget> <output>160</output> <gadget id="calculator">4 * 10</gadget> <output>40</output> <gadget id="calculator">160 * 40</gadget> <output>6_400</output> <gadget id="calculator">8 / 6_400</gadget> <output>1/800 = around 0.00125</output> <gadget id="calculator">8 * 8 * (1/800)</gadget> <output>2/25 = around 0.08</output> <result>2/25 = around 0.08</result>
2/25
ape210k
A cube container with a side length of 73 dm is filled with water. Now pour water into a cuboid container with a length of 9 m and a width of 79 m. What is the height of the water in the cuboid in dm?
<gadget id="calculator"> 9 * 10 </gadget> <output> 90 </output> <gadget id="calculator"> 79 * 10 </gadget> <output> 790 </output> <gadget id="calculator"> 90 * 790 </gadget> <output> 71_100 </output> <gadget id="calculator"> 73 / 71_100 </gadget> <output> 73/71_100 </output> <gadget id="calculator"> 73 * 73 * ( 1 / 800 )</gadget> <output> 5_329/800 </output> <result> 5_329/800 </result>
ape210k__00379882
The road repair team repaired a road. It used to be 60 meters a day, but it has been repaired for 15 days. The remaining distance needs to be repaired by 20 meters a day, and it will take 30 days. How long is this road in meters?
<gadget id="calculator">60 * 15</gadget> <output>900</output> <gadget id="calculator">60 + 20</gadget> <output>80</output> <gadget id="calculator">80 * 30</gadget> <output>2_400</output> <gadget id="calculator">900 + 2_400</gadget> <output>3_300</output> <result>3_300</result>
3_300
ape210k
The road repair team repaired a road. It used to be 73 meters a day, but it has been repaired for 541 days. The remaining distance needs to be repaired by 911 meters a day, and it will take 13 days. How long is this road in meters?
<gadget id="calculator"> 73 * 541 </gadget> <output> 39_493 </output> <gadget id="calculator"> 73 + 911 </gadget> <output> 984 </output> <gadget id="calculator"> 984 * 13 </gadget> <output> 12_792 </output> <gadget id="calculator"> 39_493 + 12_792 </gadget> <output> 52_285 </output> <result> 52_285 </result>
ape210k__00614476
A and B have two ropes, A cuts off (1/7) and B cuts off (1/7) meters, and the one cut by A is shorter than the one cut by B, is the original length of the rope A longer than 1 meter?
<result>1</result>
1
ape210k
A and B have two ropes, A cuts off ( 9 / 76 ) and B cuts off ( 9 / 76 ) meters, and the one cut by A is shorter than the one cut by B, is the original length of the rope A longer than 9 meter?
<result> 9 </result>
ape210k__00659941
cuboid fish tank measures 5 decimeters in length, 7 decimeters in height and 3 decimeters in width from the inside. Now pour 150 liters of water into the fish tank. How many decimeters is the water surface from the edge of the fish tank?
<gadget id="calculator">5 * 3</gadget> <output>15</output> <gadget id="calculator">150 / 15</gadget> <output>10</output> <gadget id="calculator">10 - 7</gadget> <output>3</output> <result>3</result>
3
ape210k
cuboid fish tank measures 8 decimeters in length, 32 decimeters in height and 12 decimeters in width from the inside. Now pour 7119 liters of water into the fish tank. How many decimeters is the water surface from the edge of the fish tank?
<gadget id="calculator"> 8 * 12 </gadget> <output> 96 </output> <gadget id="calculator"> 7119 / 96 </gadget> <output> 2_373/32 </output> <gadget id="calculator"> 2_373/32 - 32 </gadget> <output> 1_349/32 </output> <result> 1_349/32 </result>
ape210k__00523329
There is a cuboid water tank with a water injection hole on the top and a drainage hole on the bottom. After the two holes are opened at the same time, if the water is injected at 30 cubic meters per hour, the water tank can be filled in 7 hours; if the water is injected at 45 cubic meters per hour, the water tank can be filled with Use less than 2.5 hours, so how many cubic meters of water are discharged from the small holes on the bottom surface per hour? (assuming the same hourly displacement)
<gadget id="calculator">4.5 * 45</gadget> <output>202.5</output> <gadget id="calculator">210 - 202.5</gadget> <output>7.5</output> <gadget id="calculator">7 - 4.5</gadget> <output>2.5</output> <gadget id="calculator">7.5 / 2.5</gadget> <output>3</output> <result>3</result>
3
ape210k
There is a cuboid water tank with a water injection hole on the top and a drainage hole on the bottom. After the two holes are opened at the same time, if the water is injected at 30 cubic meters per hour, the water tank can be filled in 7 hours; if the water is injected at 45 cubic meters per hour, the water tank can be filled with Use less than 2.5 hours, so how many cubic meters of water are discharged from the small holes on the bottom surface per hour? (assuming the same hourly displacement)
<gadget id="calculator"> 4.5 * 45 </gadget> <output> 202.5 </output> <gadget id="calculator"> 210 - 202.5 </gadget> <output> 7.5 </output> <gadget id="calculator"> 7 - 4.5 </gadget> <output> 2.5 </output> <gadget id="calculator"> 7.5 / 2.5 </gadget> <output> 3 </output> <result> 3 </result>
ape210k__01201113
The ostrich is the largest bird in the world. It runs about 72 kilometers per hour. The speed of the African wild dog is slower than that of the ostrich (2/9). How many kilometers per hour can African wild dogs run?
<gadget id="calculator">2 / 9</gadget> <output>2/9 = around 0.222222</output> <gadget id="calculator">72 * (2/9)</gadget> <output>16</output> <gadget id="calculator">72 - 16</gadget> <output>56</output> <result>56</result>
56
ape210k
The ostrich is the largest bird in the world. It runs about 13 kilometers per hour. The speed of the African wild dog is slower than that of the ostrich ( 8 / 100 ). How many kilometers per hour can African wild dogs run?
<gadget id="calculator"> 8 / 100 </gadget> <output> 2/25 </output> <gadget id="calculator"> 13 * ( 8 / 100 )</gadget> <output> 26/25 </output> <gadget id="calculator"> 13 - 26/25 </gadget> <output> 299/25 </output> <result> 299/25 </result>
ape210k__00578454
The area of a rectangle is (8/15) square meters, the length is (4/5) meters, and the width is how many meters.
<gadget id="calculator">8 / 15</gadget> <output>8/15 = around 0.533333</output> <gadget id="calculator">4 / 5</gadget> <output>4/5 = around 0.8</output> <gadget id="calculator">(8/15) / (4/5)</gadget> <output>2/3 = around 0.666667</output> <result>2/3 = around 0.666667</result>
2/3
ape210k
The area of a rectangle is ( 29 / 134 ) square meters, the length is ( 26 / 52 ) meters, and the width is how many meters.
<gadget id="calculator"> 29 / 134 </gadget> <output> 29/134 </output> <gadget id="calculator"> 26 / 52 </gadget> <output> 1/2 </output> <gadget id="calculator">( 29 / 134 ) / ( 26 / 52 )</gadget> <output> 29/67 </output> <result> 29/67 </result>
ape210k__00871945
There are five students in the school participating in a high jump competition. Their jumping results are 85 cm, 92 cm, 88 cm, 102 cm, and 98 cm. What is the average high jump score of these students in cm?
<gadget id="calculator">85 + 92 + 88 + 102 + 98</gadget> <output>465</output> <gadget id="calculator">465 / 5</gadget> <output>93</output> <result>93</result>
93
ape210k
There are five students in the school participating in a high jump competition. Their jumping results are 382 cm, 703 cm, 646 cm, 1377 cm, and 597 cm. What is the average high jump score of these students in cm?
<gadget id="calculator"> 382 + 703 + 646 + 1377 + 597 </gadget> <output> 3_705 </output> <gadget id="calculator"> 3_705 / 5 </gadget> <output> 741 </output> <result> 741 </result>
ape210k__00598036
In a division formula, if the dividend is enlarged by 4 times and the divisor is reduced by 4 times, what is the quotient?
<gadget id="calculator">4 * 4</gadget> <output>16</output> <result>16</result>
16
ape210k
In a division formula, if the dividend is enlarged by 34 times and the divisor is reduced by 34 times, what is the quotient?
<gadget id="calculator"> 34 * 34 </gadget> <output> 1_156 </output> <result> 1_156 </result>
ape210k__00447385
There are 500 parts, and 10 are unqualified after inspection. What is the pass rate?
<gadget id="calculator">500 - 10</gadget> <output>490</output> <gadget id="calculator">490 / 500</gadget> <output>49/50 = around 0.98</output> <gadget id="calculator">100 / 100</gadget> <output>1</output> <gadget id="calculator">(49/50) * 1</gadget> <output>49/50 = around 0.98</output> <result>49/50 = around 0.98</result>
49/50
ape210k
There are 1229 parts, and 23 are unqualified after inspection. What is the pass rate?
<gadget id="calculator"> 1229 - 23 </gadget> <output> 1_206 </output> <gadget id="calculator"> 1_206 / 1229 </gadget> <output> 1_206/1_229 </output> <gadget id="calculator"> 100 / 100 </gadget> <output> 1 </output> <gadget id="calculator">( 49 / 50 ) * 1 </gadget> <output> 49/50 </output> <result> 49/50 </result>
math_qa__I3zU7On93fOrIyMP
The number of positive integer solutions for the equation x +y +z + t = 21 is Choose the correct choice. A) 1140 B) 1145 C) 1240 D) 1340 E) 15640
<gadget id="calculator">21 - 1</gadget> <output>20</output> <gadget id="calculator">factorial(20)</gadget> <output>2_432_902_008_176_640_000</output> <gadget id="calculator">4 - 1</gadget> <output>3</output> <gadget id="calculator">factorial(3)</gadget> <output>6</output> <gadget id="calculator">20 - 3</gadget> <output>17</output> <gadget id="calculator">factorial(17)</gadget> <output>355_687_428_096_000</output> <gadget id="calculator">6 * 355_687_428_096_000</gadget> <output>2_134_124_568_576_000</output> <gadget id="calculator">2_432_902_008_176_640_000 / 2_134_124_568_576_000</gadget> <output>1_140</output> <result>A</result>
A
math_qa
The number of positive integer solutions for the equation x +y +z + t = 21 is Choose the correct choice. A) 1140 B) 1145 C) 1240 D) 1340 E) 15640
<gadget id="calculator"> 21 - 1 </gadget> <output> 20 </output> <gadget id="calculator">factorial( 20 )</gadget> <output> 2432902008176640000 </output> <gadget id="calculator"> 4 - 1 </gadget> <output> 3 </output> <gadget id="calculator">factorial( 3 )</gadget> <output> 6 </output> <gadget id="calculator"> 20 - 3 </gadget> <output> 17 </output> <gadget id="calculator">factorial( 17 )</gadget> <output> 355687428096000 </output> <gadget id="calculator"> 6 * 355687428096000 </gadget> <output> 2134124568576000 </output> <gadget id="calculator"> 2432902008176640000 / 2134124568576000 </gadget> <output> 1140 </output> <result>A</result>
ape210k__00503784
An express train travels 640 kilometers in 4 hours, and a car travels 80 kilometers per hour. How many times faster can an express train travel than a car?
<gadget id="calculator">640 / 4 / 80</gadget> <output>2</output> <result>2</result>
2
ape210k
An express train travels 9834 kilometers in 62 hours, and a car travels 205 kilometers per hour. How many times faster can an express train travel than a car?
<gadget id="calculator"> 9834 / 62 / 205 </gadget> <output> 4_917/6_355 </output> <result> 4_917/6_355 </result>
math_qa__WQN28hnbTyPoTL48
Find the circumference and area of radius 8 cm. Select the correct option: A) 124 cm ² B) 201 cm ² C) 210 cm ² D) 184 cm ² E) 194 cm ²
<gadget id="calculator">pi * (8 ** 2)</gadget> <output>64*pi = around 201.06193</output> <result>B</result>
B
math_qa
Find the circumference and area of radius 1 cm. Select the correct option: A) 4 cm ² B) 27 cm ² C) 22 cm ² D) 82 cm ² E) 38 cm ²
<gadget id="calculator">pi * ( 1 ** 2 )</gadget> <output> 64 *pi = around 201.06193 </output> <result>B</result>
ape210k__00482317
The two outer terms are 24 and 5, and the two inner terms are X and 15. Find the other inner term.
<gadget id="calculator">5 / 15</gadget> <output>1/3 = around 0.333333</output> <gadget id="calculator">24 * (1/3)</gadget> <output>8</output> <result>8</result>
8
ape210k
The two outer terms are 84 and 61 , and the two inner terms are X and 865 . Find the other inner term.
<gadget id="calculator"> 61 / 865 </gadget> <output> 61/865 </output> <gadget id="calculator"> 84 * ( 1 / 3 )</gadget> <output> 28 </output> <result> 28 </result>
ape210k__00252081
If the two sides of a triangle are 5cm and 8cm long, what is the possible length of the third side in cm
<result>10</result>
10
ape210k
If the two sides of a triangle are 15 cm and 40 cm long, what is the possible length of the third side in cm
<result> 10 </result>
ape210k__00185122
Xiaopang has 3 identical small squares, at least how many such small squares can be added to form a large square.
<gadget id="calculator">2 * 2</gadget> <output>4</output> <gadget id="calculator">4 - 3</gadget> <output>1</output> <result>1</result>
1
ape210k
Xiaopang has 3 identical small squares, at least how many such small squares can be added to form a large square.
<gadget id="calculator"> 2 * 2 </gadget> <output> 4 </output> <gadget id="calculator"> 4 - 3 </gadget> <output> 1 </output> <result> 1 </result>
math_qa__U0FQIKTqHr4EVfnz
8 men, working 7 hours a day can complete a work in 18 days. How many hours a day must 12 men work to complete the same work in 12 days? Options A) 6 B) 7 C) 8 D) 9 E) 10
<gadget id="calculator">8 * 7</gadget> <output>56</output> <gadget id="calculator">56 * 18</gadget> <output>1_008</output> <gadget id="calculator">12 * 12</gadget> <output>144</output> <gadget id="calculator">1_008 / 144</gadget> <output>7</output> <result>B</result>
B
math_qa
3 men, working 57_408/37_249 hours a day can complete a work in 368 days. How many hours a day must 193 men work to complete the same work in 193 days? Options A) 22 B) 57_408/37_249 C) 3 D) 30 E) 230
<gadget id="calculator"> 3 * 52 </gadget> <output> 156 </output> <gadget id="calculator"> 156 * 368 </gadget> <output> 57_408 </output> <gadget id="calculator"> 193 * 193 </gadget> <output> 37_249 </output> <gadget id="calculator"> 57_408 / 37_249 </gadget> <output> 57_408/37_249 </output> <result>B</result>
math_qa__sQ9L7HhmPlsWyWN9
Jane makes toy bears. When she works with an assistant, she makes 80 percent more bears per week and works 10 percent fewer hours each week. Having an assistant increases Jane’s output of toy bears per hour by what percent R? Choose the correct choice from the following answers A) 20 % B) 80 % C) 100 % D) 180 % E) 200 %
<gadget id="calculator">100 - 80</gadget> <output>20</output> <gadget id="calculator">20 - 10</gadget> <output>10</output> <gadget id="calculator">10 / 10</gadget> <output>1</output> <gadget id="calculator">1 * 100</gadget> <output>100</output> <result>C</result>
C
math_qa
Jane makes toy bears. When she works with an assistant, she makes 50 percent more bears per week and works 50 percent fewer hours each week. Having an assistant increases Jane’s output of toy bears per hour by what percent R? Choose the correct choice from the following answers A) 609 % B) 50 % C) 1_772 % D) 324 % E) 791 %
<gadget id="calculator"> 1772 - 50 </gadget> <output> 1_722 </output> <gadget id="calculator"> 1_722 - 1_672 </gadget> <output> 1_672 </output> <gadget id="calculator"> 1_672 / 1_672 </gadget> <output> 1 </output> <gadget id="calculator"> 1 * 1_772 </gadget> <output> 1_772 </output> <result>C</result>
ape210k__00428602
It takes 6 minutes to saw a piece of wood into 3 sections, how many minutes will it take to saw it into 6 sections
<gadget id="calculator">3 - 1</gadget> <output>2</output> <gadget id="calculator">6 / 2</gadget> <output>3</output> <gadget id="calculator">6 - 1</gadget> <output>5</output> <gadget id="calculator">3 * 5</gadget> <output>15</output> <result>15</result>
15
ape210k
It takes 90 minutes to saw a piece of wood into 78 sections, how many minutes will it take to saw it into 90 sections
<gadget id="calculator"> 78 - 1 </gadget> <output> 77 </output> <gadget id="calculator"> 90 / 77 </gadget> <output> 90/77 </output> <gadget id="calculator"> 90 - 1 </gadget> <output> 89 </output> <gadget id="calculator"> 90/77 * 89 </gadget> <output> 8_010/77 </output> <result> 8_010/77 </result>
gsm8k__dgi2ycZUjLhrcBya
In a fruit salad, there are raspberries, green grapes, and red grapes. There are seven more than 3 times the number of red grapes as green grapes. There are 5 less raspberries than green grapes. If there are 102 pieces of fruit in the salad, how many red grapes are in the salad?
Green grapes = G. Red grapes = 3G + 7. Raspberries = G - 5. G + 3G + 7 + G - 5 = 102 5G + 2 = 102 5G = 100. G = <gadget id="calculator">20</gadget> <output>20</output> 20 3 * 20 + 7 = <gadget id="calculator">3*20+7</gadget> <output>67</output> 67. There are 67 red grapes. <result>67</result>
67
gsm8k
In a fruit salad, there are raspberries, green grapes, and red grapes. There are seven more than 26 times the number of red grapes as green grapes. There are 46 less raspberries than green grapes. If there are 6714 pieces of fruit in the salad, how many red grapes are in the salad?
Green grapes = G. Red grapes = 26 G + 7 . Raspberries = G - 46 . G + 26 G + 7 + G - 46 = 6714 46 G + 2 = 6714 46 G = 100 . G = <gadget id="calculator"> 20 </gadget> <output> 20 </output> 20 26 * 20 + 7 = <gadget id="calculator"> 26 * 20 + 7 </gadget> <output> 527 </output> 527 . There are 527 red grapes. <result> 527 </result>
ape210k__01093333
A class lasts 40 minutes. The students spend (1/4) hour discussing and communicating with each other, the teacher spends (1/5) hour explaining, and the rest of the time the students practice independently. How many hours did the students practice independently?
<gadget id="calculator">2 / 3</gadget> <output>2/3 = around 0.666667</output> <gadget id="calculator">1 / 4</gadget> <output>1/4 = around 0.25</output> <gadget id="calculator">1 / 5</gadget> <output>1/5 = around 0.2</output> <gadget id="calculator">(1/4) + (1/5)</gadget> <output>9/20 = around 0.45</output> <gadget id="calculator">(2/3) - (9/20)</gadget> <output>13/60 = around 0.216667</output> <result>13/60 = around 0.216667</result>
13/60
ape210k
A class lasts 303 minutes. The students spend ( 71 / 6 ) hour discussing and communicating with each other, the teacher spends ( 71 / 64 ) hour explaining, and the rest of the time the students practice independently. How many hours did the students practice independently?
<gadget id="calculator"> 2 / 3 </gadget> <output> 2/3 </output> <gadget id="calculator"> 71 / 6 </gadget> <output> 71/6 </output> <gadget id="calculator"> 71 / 64 </gadget> <output> 71/64 </output> <gadget id="calculator">( 71 / 6 ) + ( 71 / 64 )</gadget> <output> 2_485/192 </output> <gadget id="calculator">( 2 / 3 ) - ( 9 / 20 )</gadget> <output> 13/60 </output> <result> 13/60 </result>
ape210k__00258829
If the school uses square bricks with a side length of 2dm, it needs 500 pieces. If it uses square bricks with a side length of 4dm, how many pieces are needed?
<gadget id="calculator">2 * 2 * 500</gadget> <output>2_000</output> <gadget id="calculator">4 * 4</gadget> <output>16</output> <gadget id="calculator">2_000 / 16</gadget> <output>125</output> <result>125</result>
125
ape210k
If the school uses square bricks with a side length of 31 dm, it needs 45 pieces. If it uses square bricks with a side length of 2 dm, how many pieces are needed?
<gadget id="calculator"> 31 * 31 * 45 </gadget> <output> 43_245 </output> <gadget id="calculator"> 2 * 2 </gadget> <output> 4 </output> <gadget id="calculator"> 43_245 / 4 </gadget> <output> 43_245/4 </output> <result> 43_245/4 </result>
ape210k__00552525
A tent factory produced a batch of tents for the earthquake-stricken area in Wenchuan, Sichuan. There are two types of large and small tents. The ratio of large tents to small tents is 2:3. The ratio of small tents is 5:3. How many tents are there in total?
<gadget id="calculator">5 / 3</gadget> <output>5/3 = around 1.666667</output> <gadget id="calculator">(5/3) * 3</gadget> <output>5</output> <gadget id="calculator">5 - 2</gadget> <output>3</output> <gadget id="calculator">1_800 / 3</gadget> <output>600</output> <gadget id="calculator">600 * 2</gadget> <output>1_200</output> <gadget id="calculator">3 * 600</gadget> <output>1_800</output> <gadget id="calculator">1_200 + 1_800 + 1_800</gadget> <output>4_800</output> <result>4_800</result>
4_800
ape210k
A tent factory produced a batch of tents for the earthquake-stricken area in Wenchuan, Sichuan. There are two types of large and small tents. The ratio of large tents to small tents is 30 : 34 . The ratio of small tents is 38 : 34 . How many tents are there in total?
<gadget id="calculator"> 38 / 34 </gadget> <output> 19/17 </output> <gadget id="calculator">( 38 / 34 ) * 34 </gadget> <output> 38 </output> <gadget id="calculator"> 38 - 30 </gadget> <output> 8 </output> <gadget id="calculator"> 1800 / 8 </gadget> <output> 225 </output> <gadget id="calculator"> 225 * 30 </gadget> <output> 6_750 </output> <gadget id="calculator"> 8 * 225 </gadget> <output> 1_800 </output> <gadget id="calculator"> 6_750 + 1_800 + 1_800 </gadget> <output> 10_350 </output> <result> 10_350 </result>
ape210k__00288621
What is the quotient of 78 divided by the difference between 15 and 12?
<gadget id="calculator">15 - 12</gadget> <output>3</output> <gadget id="calculator">78 / 3</gadget> <output>26</output> <result>26</result>
26
ape210k
What is the quotient of 41 divided by the difference between 873 and 298 ?
<gadget id="calculator"> 873 - 298 </gadget> <output> 575 </output> <gadget id="calculator"> 41 / 575 </gadget> <output> 41/575 </output> <result> 41/575 </result>
ape210k__00833481
0.5 hours is much more than 20 minutes.
<gadget id="calculator">30 - 20</gadget> <output>10</output> <gadget id="calculator">10 / 20</gadget> <output>1/2 = around 0.5</output> <result>1/2 = around 0.5</result>
1/2
ape210k
79.06 hours is much more than 12 minutes.
<gadget id="calculator"> 30 - 12 </gadget> <output> 18 </output> <gadget id="calculator"> 18 / 12 </gadget> <output> 3/2 </output> <result> 3/2 </result>
ape210k__00205241
An air conditioner of a certain brand in a shopping mall costs 3,000 yuan a unit. Now the price is reduced for promotion. As a result, the sales volume has doubled and the income has increased (7/10). How much is the price cut for an air conditioner?
<gadget id="calculator">7 / 10</gadget> <output>7/10 = around 0.7</output> <gadget id="calculator">1 + (7/10)</gadget> <output>17/10 = around 1.7</output> <gadget id="calculator">1 / 2</gadget> <output>1/2 = around 0.5</output> <gadget id="calculator">3_000 * (17/10) * (1/2)</gadget> <output>2_550</output> <gadget id="calculator">3_000 - 2_550</gadget> <output>450</output> <result>450</result>
450
ape210k
An air conditioner of a certain brand in a shopping mall costs 83 , 2572 yuan a unit. Now the price is reduced for promotion. As a result, the sales volume has doubled and the income has increased ( 65 / 870 ). How much is the price cut for an air conditioner?
<gadget id="calculator"> 65 / 870 </gadget> <output> 13/174 </output> <gadget id="calculator"> 1 + ( 65 / 870 )</gadget> <output> 187/174 </output> <gadget id="calculator"> 1 / 2 </gadget> <output> 1/2 </output> <gadget id="calculator"> 3000 * ( 17 / 870 ) * ( 1 / 2 )</gadget> <output> 850/29 </output> <gadget id="calculator"> 3000 - 850/29 </gadget> <output> 86_150/29 </output> <result> 86_150/29 </result>
gsm8k__DeG4qECMz5xF22OB
Theodore can craft 10 stone statues and 20 wooden statues every month. A stone statue costs $20 and a wooden statue costs $5. He also pays 10 percent of his total earnings in taxes. How much is his total earning every month?
Theodore's total earnings from the stone statues are 10 x $20 = $ <gadget id="calculator">10*20</gadget> <output>200</output> 200. His total earnings from wooden statues are 20 x $5 = $ <gadget id="calculator">20*5</gadget> <output>100</output> 100. So his total earnings from the stone and wooden statue are $200 + $100 = $ <gadget id="calculator">200+100</gadget> <output>300</output> 300. The amount he pays for the tax is $300 x 10/100 = $ <gadget id="calculator">300*10/100</gadget> <output>30</output> 30. Therefore his total monthly earnings are $300 - $30 = $ <gadget id="calculator">300-30</gadget> <output>270</output> 270. <result>270</result>
270
gsm8k
Theodore can craft 77 stone statues and 508 wooden statues every month. A stone statue costs $ 508 and a wooden statue costs $ 22 . He also pays 77 percent of his total earnings in taxes. How much is his total earning every month?
Theodore's total earnings from the stone statues are 77 x $ 508 = $ <gadget id="calculator"> 77 * 508 </gadget> <output> 39_116 </output> 39_116 . His total earnings from wooden statues are 508 x $ 22 = $ <gadget id="calculator"> 508 * 22 </gadget> <output> 11_176 </output> 11_176 . So his total earnings from the stone and wooden statue are $ 39_116 + $ 11_176 = $ <gadget id="calculator"> 39_116 + 11_176 </gadget> <output> 50_292 </output> 50_292 . The amount he pays for the tax is $ 50_292 x 77 / 11_176 = $ <gadget id="calculator"> 50_292 * 77 / 11_176 </gadget> <output> 693/2 </output> 693/2 . Therefore his total monthly earnings are $ 50_292 - $ 693/2 = $ <gadget id="calculator"> 50_292 - 693/2 </gadget> <output> 99_891/2 </output> 99_891/2 . <result> 99_891/2 </result>
math_qa__1oBrVfO4QAidYKdS
At a monthly meeting, 2/3 of the attendees were males and 3/4 of the male attendees arrived on time. If 5/6 of the female attendees arrived on time, what fraction of the attendees at the monthly meeting did not arrive on time? Select the correct option: A) 1 / 3 B) 1 / 4 C) 3 / 8 D) 2 / 9 E) 5 / 18
<gadget id="calculator">5 / 6</gadget> <output>5/6 = around 0.833333</output> <gadget id="calculator">1 - (5/6)</gadget> <output>1/6 = around 0.166667</output> <gadget id="calculator">2 / 3</gadget> <output>2/3 = around 0.666667</output> <gadget id="calculator">1 - (2/3)</gadget> <output>1/3 = around 0.333333</output> <gadget id="calculator">(1/6) * (1/3)</gadget> <output>1/18 = around 0.055556</output> <gadget id="calculator">3 / 4</gadget> <output>3/4 = around 0.75</output> <gadget id="calculator">1 - (3/4)</gadget> <output>1/4 = around 0.25</output> <gadget id="calculator">(1/4) * (2/3)</gadget> <output>1/6 = around 0.166667</output> <gadget id="calculator">(1/18) + (1/6)</gadget> <output>2/9 = around 0.222222</output> <result>D</result>
D
math_qa
At a monthly meeting, 52 / 83 of the attendees were males and 83 / 71 of the male attendees arrived on time. If 11 / 36 of the female attendees arrived on time, what fraction of the attendees at the monthly meeting did not arrive on time? Select the correct option: A) 29 / 83 B) 29 / 71 C) 83 / 49 D) 4_901/5_652 E) 11 / 471
<gadget id="calculator"> 11 / 36 </gadget> <output> 11/36 </output> <gadget id="calculator"> 29 - ( 11 / 36 )</gadget> <output> 1_033/36 </output> <gadget id="calculator"> 52 / 83 </gadget> <output> 52/83 </output> <gadget id="calculator"> 29 - ( 52 / 83 )</gadget> <output> 2_355/83 </output> <gadget id="calculator">( 29 / 36 ) * ( 29 / 83 )</gadget> <output> 841/2_988 </output> <gadget id="calculator"> 83 / 71 </gadget> <output> 83/71 </output> <gadget id="calculator"> 29 - ( 83 / 71 )</gadget> <output> 1_976/71 </output> <gadget id="calculator">( 29 / 71 ) * ( 52 / 83 )</gadget> <output> 1_508/5_893 </output> <gadget id="calculator">( 29 / 471 ) + ( 29 / 36 )</gadget> <output> 4_901/5_652 </output> <result>D</result>
ape210k__00154930
When planting trees on a road section of 100 meters, it is necessary to ensure that the distance between at least two trees is less than 10 meters, and at least how many trees should be planted.
<gadget id="calculator">100 / 10</gadget> <output>10</output> <gadget id="calculator">10 + 1 + 1</gadget> <output>12</output> <result>12</result>
12
ape210k
When planting trees on a road section of 5179 meters, it is necessary to ensure that the distance between at least two trees is less than 122 meters, and at least how many trees should be planted.
<gadget id="calculator"> 5179 / 5_179/122 </gadget> <output> 5_179/122 </output> <gadget id="calculator"> 5_179/122 + 1 + 1 </gadget> <output> 5_423/122 </output> <result> 5_423/122 </result>
math_qa__k7DawgAk5x1s8GeO
Barbata invests $2400 in the National Bank at 4%. How much additional money must she invest at 8% so that the total annual income will be equal to 6% of her entire investment? Select. A) 1200 B) 3000 C) 2400 D) 3600 E) 2450
<gadget id="calculator">6 / 100</gadget> <output>3/50 = around 0.06</output> <gadget id="calculator">(3/50) * 2_400</gadget> <output>144</output> <gadget id="calculator">4 / 100</gadget> <output>1/25 = around 0.04</output> <gadget id="calculator">2_400 * (1/25)</gadget> <output>96</output> <gadget id="calculator">144 - 96</gadget> <output>48</output> <gadget id="calculator">8 / 100</gadget> <output>2/25 = around 0.08</output> <gadget id="calculator">(2/25) - (3/50)</gadget> <output>1/50 = around 0.02</output> <gadget id="calculator">48 / (1/50)</gadget> <output>2_400</output> <result>C</result>
C
math_qa
Barbata invests $ 54_047 in the National Bank at 96 %. How much additional money must she invest at 84 % so that the total annual income will be equal to 3 % of her entire investment? Select. A) 13454 B) 52880 C) 54_047 D) 4697 E) 73025
<gadget id="calculator"> 3 / 100 </gadget> <output> 3/100 </output> <gadget id="calculator">( 3 / 50 ) * 54047 </gadget> <output> 162_141/50 </output> <gadget id="calculator"> 96 / 100 </gadget> <output> 24/25 </output> <gadget id="calculator"> 54047 * ( 1 / 25 )</gadget> <output> 54_047/25 </output> <gadget id="calculator"> 162_141/50 - 54_047/25 </gadget> <output> 54_047/50 </output> <gadget id="calculator"> 84 / 100 </gadget> <output> 21/25 </output> <gadget id="calculator">( 2 / 25 ) - ( 3 / 50 )</gadget> <output> 1/50 </output> <gadget id="calculator"> 54_047/50 / ( 1 / 50 )</gadget> <output> 54_047 </output> <result>C</result>
ape210k__00011074
A group of elementary school students went to the park together. The adult ticket price in the park was 30 yuan per person, and the student ticket price was 12 yuan cheaper than the adult ticket price. If you buy a ticket and share 216 yuan, how many students are there in this group?
<gadget id="calculator">30 - 12</gadget> <output>18</output> <gadget id="calculator">216 / 18</gadget> <output>12</output> <result>12</result>
12
ape210k
A group of elementary school students went to the park together. The adult ticket price in the park was 563 yuan per person, and the student ticket price was 1 yuan cheaper than the adult ticket price. If you buy a ticket and share 1490 yuan, how many students are there in this group?
<gadget id="calculator"> 563 - 1 </gadget> <output> 562 </output> <gadget id="calculator"> 1490 / 562 </gadget> <output> 745/281 </output> <result> 745/281 </result>
ape210k__00659703
The original price of a computer is 5800 yuan, now the price is reduced by 20%, what is the current price?
<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">5_800 * (4/5)</gadget> <output>4_640</output> <result>4_640</result>
4_640
ape210k
The original price of a computer is 79195 yuan, now the price is reduced by 987 %, what is the current price?
<gadget id="calculator"> 987 / 100 </gadget> <output> 987/100 </output> <gadget id="calculator"> 1 - ( 1 / 5 )</gadget> <output> 4/5 </output> <gadget id="calculator"> 79195 * ( 4 / 5 )</gadget> <output> 63_356 </output> <result> 63_356 </result>
ape210k__00764093
The road repair team wants to build a road. The construction started on July 29 and ended on August 2. It has repaired 500 meters. How many meters are repaired on average per day?
<gadget id="calculator">31 - 29</gadget> <output>2</output> <gadget id="calculator">2 + 1 + 2</gadget> <output>5</output> <gadget id="calculator">500 / 5</gadget> <output>100</output> <result>100</result>
100
ape210k
The road repair team wants to build a road. The construction started on July 3 and ended on August 44 . It has repaired 5819 meters. How many meters are repaired on average per day?
<gadget id="calculator"> 31 - 3 </gadget> <output> 28 </output> <gadget id="calculator"> 28 + 1 + 28 </gadget> <output> 57 </output> <gadget id="calculator"> 5819 / 57 </gadget> <output> 5_819/57 </output> <result> 5_819/57 </result>
gsm8k__6MXgyfUba5Fj1GZt
Annie is a mother of 3 children: Mark, Matt, and Mike. She decided to give them some fruits. Mike received 3 oranges. Matt got twice as many apples, and Mark got as many bananas as Mike and Matt received fruits altogether. How many fruits do the three children have in total?
Mike received 3 oranges. Matt received twice as many apples as Mike received oranges, so he got 3 * 2 = <gadget id="calculator">3*2</gadget> <output>6</output> 6 apples. Mark received 6 + 3 = <gadget id="calculator">6+3</gadget> <output>9</output> 9 bananas. So in total, all children received 3 + 6 + 9 = <gadget id="calculator">3+6+9</gadget> <output>18</output> 18 fruits. <result>18</result>
18
gsm8k
Annie is a mother of 38 children: Mark, Matt, and Mike. She decided to give them some fruits. Mike received 38 oranges. Matt got twice as many apples, and Mark got as many bananas as Mike and Matt received fruits altogether. How many fruits do the three children have in total?
Mike received 38 oranges. Matt received twice as many apples as Mike received oranges, so he got 38 * 2 = <gadget id="calculator"> 38 * 2 </gadget> <output> 76 </output> 76 apples. Mark received 76 + 38 = <gadget id="calculator"> 76 + 38 </gadget> <output> 114 </output> 114 bananas. So in total, all children received 38 + 76 + 114 = <gadget id="calculator"> 38 + 76 + 114 </gadget> <output> 228 </output> 228 fruits. <result> 228 </result>
ape210k__00101373
To make the product of □23*3 have four digits, what should be the minimum number in □.
<result>4</result>
4
ape210k
To make the product of □ 561 * 67 have four digits, what should be the minimum number in □.
<result> 4 </result>
ape210k__00896659
There is a stack (1uò) of paper with a height of 3 decimeters. If it is divided into small stacks every 5 cm, how many small stacks can it be divided into?
<gadget id="calculator">3 * 10</gadget> <output>30</output> <gadget id="calculator">30 / 5</gadget> <output>6</output> <result>6</result>
6
ape210k
There is a stack ( 48 uò) of paper with a height of 90 decimeters. If it is divided into small stacks every 14 cm, how many small stacks can it be divided into?
<gadget id="calculator"> 90 * 10 </gadget> <output> 900 </output> <gadget id="calculator"> 900 / 14 </gadget> <output> 450/7 </output> <result> 450/7 </result>
ape210k__00468095
There are 209 students in the third grade and 473 students in the fourth grade. How many students are there in the third and fourth grades?
<gadget id="calculator">209 + 473</gadget> <output>682</output> <result>682</result>
682
ape210k
There are 751 students in the third grade and 2690 students in the fourth grade. How many students are there in the third and fourth grades?
<gadget id="calculator"> 751 + 2690 </gadget> <output> 3_441 </output> <result> 3_441 </result>
ape210k__01195349
□25/5, if the quotient is a three-digit number, what is the minimum number to fill in the highest digit of the dividend.
<gadget id="calculator">25 / 5</gadget> <output>5</output> <result>5</result>
5
ape210k
□ 505 / 18 , if the quotient is a three-digit number, what is the minimum number to fill in the highest digit of the dividend.
<gadget id="calculator"> 505 / 505/18 </gadget> <output> 505/18 </output> <result> 505/18 </result>
ape210k__00196745
Two people, A and B, rode camels to explore the desert. They walked 40 kilometers to the depths of the desert every day. It is known that each person can bring food and water for one person at most for 48 days. And water is stored on the way, so that B can take it when he returns. Ask: How many kilometers can B go deep into the desert at most.
<gadget id="calculator">48 / 4</gadget> <output>12</output> <gadget id="calculator">12 * 2</gadget> <output>24</output> <gadget id="calculator">24 + 48</gadget> <output>72</output> <gadget id="calculator">72 / 2</gadget> <output>36</output> <gadget id="calculator">40 * 36</gadget> <output>1_440</output> <result>1_440</result>
1_440
ape210k
Two people, A and B, rode camels to explore the desert. They walked 842 kilometers to the depths of the desert every day. It is known that each person can bring food and water for one person at most for 735 days. And water is stored on the way, so that B can take it when he returns. Ask: How many kilometers can B go deep into the desert at most.
<gadget id="calculator"> 735 / 4 </gadget> <output> 735/4 </output> <gadget id="calculator"> 735/4 * 2 </gadget> <output> 735/2 </output> <gadget id="calculator"> 735/2 + 735 </gadget> <output> 2_205/2 </output> <gadget id="calculator"> 2_205/2 / 2 </gadget> <output> 2_205/4 </output> <gadget id="calculator"> 842 * 2_205/4 </gadget> <output> 928_305/2 </output> <result> 928_305/2 </result>
ape210k__00485397
A pocket contains 10 balls of three different colors, red, yellow, and blue. There must be 2 balls of the same color to be drawn, and how many balls must be touched at least.
<gadget id="calculator">3 + 1</gadget> <output>4</output> <result>4</result>
4
ape210k
A pocket contains 761 balls of three different colors, red, yellow, and blue. There must be 93 balls of the same color to be drawn, and how many balls must be touched at least.
<gadget id="calculator"> 3 + 1 </gadget> <output> 4 </output> <result> 4 </result>
ape210k__00399828
Uncle Zhang used reed mats with a length of 2 meters and a width of 1 meter to form the largest cylindrical grain storage in the year before last. The volume of grain storage is how many times that of the previous year.
<result>4.5</result>
4.5
ape210k
Uncle Zhang used reed mats with a length of 53 meters and a width of 14 meter to form the largest cylindrical grain storage in the year before last. The volume of grain storage is how many times that of the previous year.
<result> 4.5 </result>