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stringlengths 17
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stringlengths 6
1.17k
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stringlengths 18
4.11k
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1.18k
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|---|---|---|---|---|---|---|
ape210k__00973565
|
There are 1,250 students in Xinmin Road Primary School. The number of first-grade students accounts for 1/5 of the total number of students in the school, and the number of second-grade students is 150 less than twice the number of first-grade students. How many students are there in the second grade?
|
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1_250 * (1/5) * 2</gadget>
<output>500</output>
<gadget id="calculator">500 - 150</gadget>
<output>350</output>
<result>350</result>
|
350
|
ape210k
|
There are 49 , 9674 students in Xinmin Road Primary School. The number of first-grade students accounts for 49 / 5 of the total number of students in the school, and the number of second-grade students is 7644 less than twice the number of first-grade students. How many students are there in the second grade?
|
<gadget id="calculator"> 49 / 5 </gadget>
<output> 49/5 </output>
<gadget id="calculator"> 1250 * ( 49 / 5 ) * 2 </gadget>
<output> 24_500 </output>
<gadget id="calculator"> 24_500 - 7644 </gadget>
<output> 16_856 </output>
<result> 16_856 </result>
|
ape210k__00624963
|
When a number is divided by 8, the quotient is 7 and the remainder is the largest. What is the number?
|
<gadget id="calculator">8 - 1</gadget>
<output>7</output>
<gadget id="calculator">7 * 8</gadget>
<output>56</output>
<gadget id="calculator">56 + 7</gadget>
<output>63</output>
<result>63</result>
|
63
|
ape210k
|
When a number is divided by 33 , the quotient is 75 and the remainder is the largest. What is the number?
|
<gadget id="calculator"> 33 - 1 </gadget>
<output> 32 </output>
<gadget id="calculator"> 32 * 33 </gadget>
<output> 1_056 </output>
<gadget id="calculator"> 1_056 + 32 </gadget>
<output> 1_088 </output>
<result> 1_088 </result>
|
ape210k__01161409
|
Chen Jun drives 85km per hour from place A to place B, and arrives at place B in 3 hours. When returning, travel 90km per hour, how long will it take to return to place A? (Solve with ratio)
|
<gadget id="calculator">85 * 3</gadget>
<output>255</output>
<gadget id="calculator">255 / 90</gadget>
<output>17/6 = around 2.833333</output>
<result>17/6 = around 2.833333</result>
|
17/6
|
ape210k
|
Chen Jun drives 873 km per hour from place A to place B, and arrives at place B in 13 hours. When returning, travel 353 km per hour, how long will it take to return to place A? (Solve with ratio)
|
<gadget id="calculator"> 873 * 13 </gadget>
<output> 11_349 </output>
<gadget id="calculator"> 11_349 / 353 </gadget>
<output> 11_349/353 </output>
<result> 11_349/353 </result>
|
gsm8k__5O0q53vA5oUDyKH9
|
Of the 90 people on William's bus, 3/5 were Dutch. Of the 1/2 of the Dutch who were also American, 1/3 got window seats. What's the number of Dutch Americans who sat at the windows?
|
On the bus, the number of Dutch people was 3/5 of the total number, a total of 3/5*90 =
<gadget id="calculator">3/5*90</gadget>
<output>54</output>
54 people.
Out of the 54 people who were Dutch, 1/2 were Dutch Americans, a total of 1/2*54 =
<gadget id="calculator">1/2*54</gadget>
<output>27</output>
27 people.
If 1/3 of the passengers on the bus identifying as Dutch Americans sat at the windows, their number is 1/3*27 =
<gadget id="calculator">1/3*27</gadget>
<output>9</output>
9.
<result>9</result>
|
9
|
gsm8k
|
Of the 752 people on William's bus, 38 / 87 were Dutch. Of the 61 / 68 of the Dutch who were also American, 61 / 38 got window seats. What's the number of Dutch Americans who sat at the windows?
|
On the bus, the number of Dutch people was 38 / 87 of the total number, a total of 38 / 87 * 752 =
<gadget id="calculator"> 38 / 87 * 752 </gadget>
<output> 28_576/87 </output> 28_576/87 people.
Out of the 28_576/87 people who were Dutch, 61 / 68 were Dutch Americans, a total of 61 / 68 * 28_576/87 =
<gadget id="calculator"> 61 / 68 * 28_576/87 </gadget>
<output> 435_784/1_479 </output> 435_784/1_479 people.
If 61 / 38 of the passengers on the bus identifying as Dutch Americans sat at the windows, their number is 61 / 38 * 435_784/1_479 =
<gadget id="calculator"> 61 / 38 * 435_784/1_479 </gadget>
<output> 699_548/1_479 </output> 699_548/1_479 .
<result> 699_548/1_479 </result>
|
ape210k__00055402
|
A semicircle has a radius of 4 decimeters, what is its circumference in decimeters.
|
<gadget id="calculator">2 / 2</gadget>
<output>1</output>
<gadget id="calculator">3.14 * 4 * 1</gadget>
<output>12.56</output>
<gadget id="calculator">4 * 2</gadget>
<output>8</output>
<gadget id="calculator">12.56 + 8</gadget>
<output>20.56</output>
<result>20.56</result>
|
20.56
|
ape210k
|
A semicircle has a radius of 81 decimeters, what is its circumference in decimeters.
|
<gadget id="calculator"> 2 / 2 </gadget>
<output> 1 </output>
<gadget id="calculator"> 3.14 * 81 * 1 </gadget>
<output> 254.34 </output>
<gadget id="calculator"> 81 * 2 </gadget>
<output> 162 </output>
<gadget id="calculator"> 254.34 + 162 </gadget>
<output> 416.34 </output>
<result> 416.34 </result>
|
ape210k__01207371
|
Guanghua Glass Factory entrusted a transportation company to transport 2,000 pieces of glass, and the transportation fee was 0.4 yuan for each piece. If one piece was damaged, the compensation for the loss was 7 yuan. As a result, the transportation company received a shipping fee of 711.2 yuan.
|
<gadget id="calculator">2_000 * 0.4</gadget>
<output>800</output>
<gadget id="calculator">800 - 711.2</gadget>
<output>88.8</output>
<gadget id="calculator">7 + 0.4</gadget>
<output>7.4</output>
<gadget id="calculator">88.8 / 7.4</gadget>
<output>12</output>
<result>12</result>
|
12
|
ape210k
|
Guanghua Glass Factory entrusted a transportation company to transport 63 , 8763 pieces of glass, and the transportation fee was 33.23 yuan for each piece. If one piece was damaged, the compensation for the loss was 99 yuan. As a result, the transportation company received a shipping fee of 5054.44 yuan.
|
<gadget id="calculator"> 2000 * 33.23 </gadget>
<output> 66460 </output>
<gadget id="calculator"> 66460 - 5054.44 </gadget>
<output> 61405.56 </output>
<gadget id="calculator"> 99 + 33.23 </gadget>
<output> 132.23 </output>
<gadget id="calculator"> 61405.56 / 132.23 </gadget>
<output> 464.384482 </output>
<result> 464.384482 </result>
|
ape210k__00994925
|
Master Wang processed 480 parts in 6 days, which was exactly half of this batch of tasks. Later, due to a change in the plan, the task needed to be completed 1 day earlier, so how many parts should Master Wang process every day?
|
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">6 / (1/2)</gadget>
<output>12</output>
<gadget id="calculator">12 - 1 - 6</gadget>
<output>5</output>
<gadget id="calculator">480 / 5</gadget>
<output>96</output>
<result>96</result>
|
96
|
ape210k
|
Master Wang processed 2071 parts in 21 days, which was exactly half of this batch of tasks. Later, due to a change in the plan, the task needed to be completed 1 day earlier, so how many parts should Master Wang process every day?
|
<gadget id="calculator"> 1 / 2 </gadget>
<output> 1/2 </output>
<gadget id="calculator"> 21 / ( 1 / 2 )</gadget>
<output> 42 </output>
<gadget id="calculator"> 42 - 1 - 21 </gadget>
<output> 20 </output>
<gadget id="calculator"> 2071 / 20 </gadget>
<output> 2_071/20 </output>
<result> 2_071/20 </result>
|
ape210k__01078095
|
A cylinder and a cone with the same base and height, the sum of their volume is 314 cubic decimeters, and the height is 3 decimeters, what is the radius of the cylinder?
|
<result>5</result>
|
5
|
ape210k
|
A cylinder and a cone with the same base and height, the sum of their volume is 2102 cubic decimeters, and the height is 12 decimeters, what is the radius of the cylinder?
|
<result> 5 </result>
|
ape210k__00254981
|
To celebrate Children's Day, the grandfather bought 8 copies of "Fun Mathematics" and distributed them to the three granddaughters Xiaolan, Xiaohua and Xiaomei, so that each granddaughter has at least one book. How many ways are there in total?
|
<gadget id="calculator">8 - 3</gadget>
<output>5</output>
<gadget id="calculator">6 + 5 + 4 + 3 + 2 + 1</gadget>
<output>21</output>
<result>21</result>
|
21
|
ape210k
|
To celebrate Children's Day, the grandfather bought 14 copies of "Fun Mathematics" and distributed them to the three granddaughters Xiaolan, Xiaohua and Xiaomei, so that each granddaughter has at least one book. How many ways are there in total?
|
<gadget id="calculator"> 14 - 3 </gadget>
<output> 11 </output>
<gadget id="calculator"> 6 + 11 + 4 + 3 + 2 + 1 </gadget>
<output> 27 </output>
<result> 27 </result>
|
ape210k__00086577
|
A rectangular iron plate, the width is the length (4/5). After cutting off 21 cm from the wide side and 35% from the long side, a square iron plate is obtained. What is the length of the original rectangular iron plate in centimeters?
|
<gadget id="calculator">35 / 100</gadget>
<output>7/20 = around 0.35</output>
<gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">(4/5) - 1</gadget>
<output>-1/5 = around -0.2</output>
<gadget id="calculator">(7/20) + (-1/5)</gadget>
<output>3/20 = around 0.15</output>
<gadget id="calculator">21 / (3/20)</gadget>
<output>140</output>
<result>140</result>
|
140
|
ape210k
|
A rectangular iron plate, the width is the length ( 61 / 61 ). After cutting off 665 cm from the wide side and 197 % from the long side, a square iron plate is obtained. What is the length of the original rectangular iron plate in centimeters?
|
<gadget id="calculator"> 197 / 100 </gadget>
<output> 197/100 </output>
<gadget id="calculator"> 61 / 61 </gadget>
<output> 1 </output>
<gadget id="calculator">( 61 / 61 ) - 1 </gadget>
<output>- 1 / 61 = around - 0.2 </output>
<gadget id="calculator">( 7 / 20 ) + (- 1 / 61 )</gadget>
<output> 407/1_220 </output>
<gadget id="calculator"> 665 / ( 3 / 20 )</gadget>
<output> 13_300/3 </output>
<result> 13_300/3 </result>
|
math_qa__KihYZXXO1RN8avb3
|
A can do a job in 10days and B in 20days. If they work on it together for 4 days, then the fraction of the work that is left is?
Pick one:
A) 2 / 5
B) 8 / 15
C) 3 / 11
D) 1 / 12
E) 6 / 13
|
<gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 / 20</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">(1/10) + (1/20)</gadget>
<output>3/20 = around 0.15</output>
<gadget id="calculator">4 * (3/20)</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">1 - (3/5)</gadget>
<output>2/5 = around 0.4</output>
<result>A</result>
|
A
|
math_qa
|
A 2/5 B in 840 days. If they work on it together for 68 days, then the fraction of the work that is left is?
Pick one:
A) 2 / 5 B) 8 / 15 C) 3 / 11 D) 1 / 12 E) 6 / 13
|
<gadget id="calculator"> 1 / 236 </gadget>
<output> 1/236 </output>
<gadget id="calculator"> 1 / 840 </gadget>
<output> 1/840 </output>
<gadget id="calculator">( 1 / 236 ) + ( 1 / 840 )</gadget>
<output> 269/49_560 </output>
<gadget id="calculator"> 68 * ( 3 / 840 )</gadget>
<output> 17/70 </output>
<gadget id="calculator"> 1 - ( 3 / 5 )</gadget>
<output> 2/5 </output>
<result>A</result>
|
ape210k__00608648
|
sprinkler truck travels 50 meters per minute, the width of sprinkling water is 9 meters, and the sprinkler truck runs for 6 minutes, how much area can it sprinkle water on?
|
<gadget id="calculator">50 * 6</gadget>
<output>300</output>
<gadget id="calculator">300 * 9</gadget>
<output>2_700</output>
<result>2_700</result>
|
2_700
|
ape210k
|
sprinkler truck travels 410 meters per minute, the width of sprinkling water is 8 meters, and the sprinkler truck runs for 8 minutes, how much area can it sprinkle water on?
|
<gadget id="calculator"> 410 * 8 </gadget>
<output> 3_280 </output>
<gadget id="calculator"> 3_280 * 8 </gadget>
<output> 26_240 </output>
<result> 26_240 </result>
|
ape210k__00005214
|
There is a tree, the circumference of the trunk is 50.24 square centimeters, and the diameter of the trunk is centimeters?
|
<gadget id="calculator">50.24 / 3.14</gadget>
<output>16</output>
<result>16</result>
|
16
|
ape210k
|
There is a tree, the circumference of the trunk is 141.36 square centimeters, and the diameter of the trunk is centimeters?
|
<gadget id="calculator"> 141.36 / 3.14 </gadget>
<output> 45.019108 </output>
<result> 45.019108 </result>
|
ape210k__00116317
|
A store sells a drink for 36 yuan per box. If you buy 5 boxes, you can get 1 box free. Now Uncle Li buys 5 boxes at a time. How much is each box cheaper?
|
<gadget id="calculator">5 + 1</gadget>
<output>6</output>
<gadget id="calculator">5 / 6</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">36 * (5/6)</gadget>
<output>30</output>
<gadget id="calculator">36 - 30</gadget>
<output>6</output>
<result>6</result>
|
6
|
ape210k
|
A store sells a drink for 442 yuan per box. If you buy 82 boxes, you can get 26 box free. Now Uncle Li buys 82 boxes at a time. How much is each box cheaper?
|
<gadget id="calculator"> 82 + 26 </gadget>
<output> 108 </output>
<gadget id="calculator"> 82 / 108 </gadget>
<output> 41/54 </output>
<gadget id="calculator"> 442 * ( 82 / 108 )</gadget>
<output> 9_061/27 </output>
<gadget id="calculator"> 442 - 9_061/27 </gadget>
<output> 2_873/27 </output>
<result> 2_873/27 </result>
|
ape210k__00109058
|
The base of the triangle is 2.5 cm, the height is 4 cm, what is the area in square centimeters?
|
<gadget id="calculator">4 / 2</gadget>
<output>2</output>
<gadget id="calculator">2.5 * 2</gadget>
<output>5</output>
<result>5</result>
|
5
|
ape210k
|
The base of the triangle is 28.71 cm, the height is 21 cm, what is the area in square centimeters?
|
<gadget id="calculator"> 21 / 21/2 </gadget>
<output> 21/2 </output>
<gadget id="calculator"> 28.71 * 21/2 </gadget>
<output> 301.455 </output>
<result> 301.455 </result>
|
ape210k__01159265
|
Xiaoli reads a story book, if she reads 32 pages a day, she can finish it in 8 days. When she reads half of it, the rest will take 2 days to read. How many pages per day are the rest on average?
|
<gadget id="calculator">8 / 2 / 2</gadget>
<output>2</output>
<gadget id="calculator">32 * 2</gadget>
<output>64</output>
<result>64</result>
|
64
|
ape210k
|
Xiaoli reads a story book, if she reads 701 pages a day, she can finish it in 39 days. When she reads half of it, the rest will take 52 days to read. How many pages per day are the rest on average?
|
<gadget id="calculator"> 39 / 3/208 / 3/208 </gadget>
<output> 3/208 </output>
<gadget id="calculator"> 701 * 3/208 </gadget>
<output> 2_103/208 </output>
<result> 2_103/208 </result>
|
ape210k__00234689
|
Xiaodong and Xiaoqiang are playing the ball touching game. They both have the same number of balls. Each time Xiaodong takes out the number of Xiaoqiang’s (2/9). Dong has 56 balls left. Ask: How many balls did Xiaodong and Xiaoqiang originally have?
|
<gadget id="calculator">2 / 9</gadget>
<output>2/9 = around 0.222222</output>
<gadget id="calculator">(2/9) * 4</gadget>
<output>8/9 = around 0.888889</output>
<gadget id="calculator">4 - (8/9)</gadget>
<output>28/9 = around 3.111111</output>
<gadget id="calculator">56 / (28/9)</gadget>
<output>18</output>
<gadget id="calculator">18 * 4</gadget>
<output>72</output>
<result>72</result>
|
72
|
ape210k
|
Xiaodong and Xiaoqiang are playing the ball touching game. They both have the same number of balls. Each time Xiaodong takes out the number of Xiaoqiang’s ( 23 / 10 ). Dong has 322 balls left. Ask: How many balls did Xiaodong and Xiaoqiang originally have?
|
<gadget id="calculator"> 23 / 10 </gadget>
<output> 23/10 </output>
<gadget id="calculator">( 23 / 10 ) * 4 </gadget>
<output> 46/5 </output>
<gadget id="calculator"> 4 - ( 8 / 10 )</gadget>
<output> 16/5 </output>
<gadget id="calculator"> 322 / ( 28 / 10 )</gadget>
<output> 115 </output>
<gadget id="calculator"> 115 * 4 </gadget>
<output> 460 </output>
<result> 460 </result>
|
ape210k__00897153
|
The distance on the map from a primary school to the Children's Palace is 4.5cm. The ratio on the map is 1:18000. What is the actual distance in m?
|
<gadget id="calculator">1 / 18_000</gadget>
<output>1/18_000 = around 0.000056</output>
<gadget id="calculator">4.5 / (1/18_000) / 100</gadget>
<output>810</output>
<result>810</result>
|
810
|
ape210k
|
The distance on the map from a primary school to the Children's Palace is 5.5600000000000005 cm. The ratio on the map is 90 : 161193 . What is the actual distance in m?
|
<gadget id="calculator"> 90 / 161193 </gadget>
<output> 30/53_731 </output>
<gadget id="calculator"> 5.5600000000000005 / ( 90 / 161193 ) / 100 </gadget>
<output> 99.581453 </output>
<result> 99.581453 </result>
|
math_qa__9VKL1SF2xLtZmnPy
|
The average age of an adult class is 40years. 17 new students with an avg age of 32years join the class. Therefore decreasing the average by 4year. Find what was theoriginal strength of class? Choose the correct choice:
A) 8 B) 12 C) 15 D) 17 E) 18
|
<gadget id="calculator">40 - 4</gadget>
<output>36</output>
<gadget id="calculator">17 * 36</gadget>
<output>612</output>
<gadget id="calculator">17 * 32</gadget>
<output>544</output>
<gadget id="calculator">612 - 544</gadget>
<output>68</output>
<gadget id="calculator">68 / 4</gadget>
<output>17</output>
<result>D</result>
|
D
|
math_qa
|
The average age of an adult class is 979 years. 1_305/13 new students with an avg age of 631 years join the class. Therefore decreasing the average by 78 year. Find what was theoriginal strength of class? Choose the correct choice:
A) 32 B) 813 C) 246 D) 1_305/13 E) 362
|
<gadget id="calculator"> 979 - 78 </gadget>
<output> 901 </output>
<gadget id="calculator"> 29 * 901 </gadget>
<output> 26_129 </output>
<gadget id="calculator"> 29 * 631 </gadget>
<output> 18_299 </output>
<gadget id="calculator"> 26_129 - 18_299 </gadget>
<output> 7_830 </output>
<gadget id="calculator"> 7_830 / 78 </gadget>
<output> 1_305/13 </output>
<result>D</result>
|
ape210k__00278537
|
Xiao Ming accidentally mistook the divisor 18 as 15 when calculating an integer division formula, and the quotient obtained is 24. What is the correct quotient?
|
<gadget id="calculator">24 * 15</gadget>
<output>360</output>
<gadget id="calculator">360 / 18</gadget>
<output>20</output>
<result>20</result>
|
20
|
ape210k
|
Xiao Ming accidentally mistook the divisor 787 as 91 when calculating an integer division formula, and the quotient obtained is 664 . What is the correct quotient?
|
<gadget id="calculator"> 664 * 91 </gadget>
<output> 60_424 </output>
<gadget id="calculator"> 60_424 / 787 </gadget>
<output> 60_424/787 </output>
<result> 60_424/787 </result>
|
ape210k__00180248
|
Define operation: "*" and "△", satisfy a*b=(a△b)-2a, and a△b=2*(a*b)-b, then, (3*2)+(2* 3) how much.
|
<gadget id="calculator">2 * 3</gadget>
<output>6</output>
<gadget id="calculator">6 + 2</gadget>
<output>8</output>
<gadget id="calculator">2 * 2</gadget>
<output>4</output>
<gadget id="calculator">4 + 3</gadget>
<output>7</output>
<gadget id="calculator">8 + 7</gadget>
<output>15</output>
<result>15</result>
|
15
|
ape210k
|
Define operation: "*" and "△", satisfy a*b=(a△b)- 20 a, and a△b= 20 *(a*b)-b, then, ( 73 * 20 )+( 20 * 73 ) how much.
|
<gadget id="calculator"> 20 * 73 </gadget>
<output> 1_460 </output>
<gadget id="calculator"> 1_460 + 20 </gadget>
<output> 1_480 </output>
<gadget id="calculator"> 20 * 20 </gadget>
<output> 400 </output>
<gadget id="calculator"> 400 + 73 </gadget>
<output> 473 </output>
<gadget id="calculator"> 1_480 + 473 </gadget>
<output> 1_953 </output>
<result> 1_953 </result>
|
ape210k__00353867
|
There are two baskets of apples, the first basket is the second basket (3/5). If 10 pieces are taken from the first basket and given to the second basket, then the first basket is (1/2) of the second basket. How many apples are there in these two baskets?
|
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">10 * (1/2)</gadget>
<output>5</output>
<gadget id="calculator">10 + 5</gadget>
<output>15</output>
<gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">(3/5) - (1/2)</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">15 / (1/10)</gadget>
<output>150</output>
<gadget id="calculator">150 * (3/5)</gadget>
<output>90</output>
<gadget id="calculator">90 + 150</gadget>
<output>240</output>
<result>240</result>
|
240
|
ape210k
|
There are two baskets of apples, the first basket is the second basket ( 3 / 5 ). If 10 pieces are taken from the first basket and given to the second basket, then the first basket is ( 1 / 2 ) of the second basket. How many apples are there in these two baskets?
|
<gadget id="calculator"> 1 / 2 </gadget>
<output> 1 / 2 = around 0.5 </output>
<gadget id="calculator"> 10 * ( 1 / 2 )</gadget>
<output> 5 </output>
<gadget id="calculator"> 10 + 5 </gadget>
<output> 15 </output>
<gadget id="calculator"> 3 / 5 </gadget>
<output> 3 / 5 = around 0.6 </output>
<gadget id="calculator">( 3 / 5 ) - ( 1 / 2 )</gadget>
<output> 1 / 10 = around 0.1 </output>
<gadget id="calculator"> 15 / ( 1 / 10 )</gadget>
<output> 150 </output>
<gadget id="calculator"> 150 * ( 3 / 5 )</gadget>
<output> 90 </output>
<gadget id="calculator"> 90 + 150 </gadget>
<output> 240 </output>
<result> 240 </result>
|
ape210k__00125644
|
Parking in a parking lot costs at least 3 yuan. If you park for more than 2 hours, you will have to pay 1.10 yuan for each additional hour (less than 1 hour is counted as 1 hour). Xiao Wang paid 7.40 yuan when he left the parking lot. How many hours does he park in this parking lot?
|
<gadget id="calculator">7.4 - 3</gadget>
<output>4.4</output>
<gadget id="calculator">4.4 / 1.1</gadget>
<output>4</output>
<gadget id="calculator">4 + 2</gadget>
<output>6</output>
<result>6</result>
|
6
|
ape210k
|
Parking in a parking lot costs at least 4 yuan. If you park for more than 42 hours, you will have to pay 48.5 yuan for each additional hour (less than 21 hour is counted as 21 hour). Xiao Wang paid 42.59 yuan when he left the parking lot. How many hours does he park in this parking lot?
|
<gadget id="calculator"> 7.4 - 4 </gadget>
<output> 3.4 </output>
<gadget id="calculator"> 3.4 / 1.1 </gadget>
<output> 3.090909 </output>
<gadget id="calculator"> 3.090909 + 42 </gadget>
<output> 45.090909 </output>
<result> 45.090909 </result>
|
ape210k__00149325
|
If 2x+1=2, then what is x**2+1 equal to
|
<gadget id="calculator">2 - 1</gadget>
<output>1</output>
<gadget id="calculator">2 ** 2</gadget>
<output>4</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/4) + 1</gadget>
<output>5/4 = around 1.25</output>
<result>5/4 = around 1.25</result>
|
5/4
|
ape210k
|
If 1 x+ 1 = 1 , then what is x** 1 + 1 equal to
|
<gadget id="calculator"> 0 - 0 </gadget>
<output> 0 </output>
<gadget id="calculator"> 0 ** 0 </gadget>
<output> 1 </output>
<gadget id="calculator"> 0 / 1 </gadget>
<output> 0 </output>
<gadget id="calculator">( 0 / 1 ) + 0 </gadget>
<output> 0 </output>
<result> 0 </result>
|
ape210k__00638409
|
A bamboo pole with a length of 3.7 meters is vertically inserted into a pool. There is mud at the bottom of the pool. 0.4 meters of the bamboo pole is submerged in the mud, and 0.8 meters is exposed to the water surface. How many meters is the water depth of the pool?
|
<gadget id="calculator">3.7 - 0.8 - 0.4</gadget>
<output>2.5</output>
<result>2.5</result>
|
2.5
|
ape210k
|
A bamboo pole with a length of 92.44 meters is vertically inserted into a pool. There is mud at the bottom of the pool. 73.07 meters of the bamboo pole is submerged in the mud, and 19.35 meters is exposed to the water surface. How many meters is the water depth of the pool?
|
<gadget id="calculator"> 92.44 - 19.35 - 73.07 </gadget>
<output> 0.02 </output>
<result> 0.02 </result>
|
math_qa__r4RF46KDcSgaY410
|
The average (arithmetic mean) of 20, 40, and 60 is 8 more than the average of 10, 70, and what number? Answers.
A) 16 B) 25 C) 35 D) 45 E) 55
|
<gadget id="calculator">20 + 40</gadget>
<output>60</output>
<gadget id="calculator">60 + 60</gadget>
<output>120</output>
<gadget id="calculator">8 * 3</gadget>
<output>24</output>
<gadget id="calculator">24 + 10</gadget>
<output>34</output>
<gadget id="calculator">34 + 70</gadget>
<output>104</output>
<gadget id="calculator">120 - 104</gadget>
<output>16</output>
<result>A</result>
|
A
|
math_qa
|
The average (arithmetic mean) of 633 , 709 , and 602 is 8 more than the average of 282 , 96 , and what number? Answers.
A) 2_282 B) 123 C) 921 D) 423 E) 669
|
<gadget id="calculator"> 633 + 709 </gadget>
<output> 1_342 </output>
<gadget id="calculator"> 1_342 + 1_342 </gadget>
<output> 2_684 </output>
<gadget id="calculator"> 8 * 3 </gadget>
<output> 24 </output>
<gadget id="calculator"> 24 + 282 </gadget>
<output> 306 </output>
<gadget id="calculator"> 306 + 96 </gadget>
<output> 402 </output>
<gadget id="calculator"> 2_684 - 402 </gadget>
<output> 2_282 </output>
<result>A</result>
|
ape210k__00509191
|
Guangming Primary School brought 175 pots of flowers, 8 classes in the third grade, and each class moved 14 pots, how many pots are left?
|
<gadget id="calculator">8 * 14</gadget>
<output>112</output>
<gadget id="calculator">175 - 112</gadget>
<output>63</output>
<result>63</result>
|
63
|
ape210k
|
Guangming Primary School brought 7127 pots of flowers, 7 classes in the third grade, and each class moved 286 pots, how many pots are left?
|
<gadget id="calculator"> 7 * 286 </gadget>
<output> 2_002 </output>
<gadget id="calculator"> 7127 - 2_002 </gadget>
<output> 5_125 </output>
<result> 5_125 </result>
|
ape210k__00640609
|
There are 2,400 colored flags to be planted in the school sports meeting. The organizing committee assigned this task to 20 volunteer groups. Each group has 8 volunteers. How many colored flags should each volunteer plant on average?
|
<gadget id="calculator">2_400 / 20 / 8</gadget>
<output>15</output>
<result>15</result>
|
15
|
ape210k
|
There are 21 , 7135 colored flags to be planted in the school sports meeting. The organizing committee assigned this task to 950 volunteer groups. Each group has 93 volunteers. How many colored flags should each volunteer plant on average?
|
<gadget id="calculator"> 2400 / 950 / 93 </gadget>
<output> 16/589 </output>
<result> 16/589 </result>
|
ape210k__00191370
|
3 times larger than the previous item. The latter item is reduced by 3 times, and the ratio is expanded by how many times
|
<gadget id="calculator">3 / 2</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">(3/2) / (1/6)</gadget>
<output>9</output>
<result>9</result>
|
9
|
ape210k
|
11 times larger than the previous item. The latter item is reduced by 11 times, and the ratio is expanded by how many times
|
<gadget id="calculator"> 11 / 2 </gadget>
<output> 11/2 </output>
<gadget id="calculator"> 1 / 6 </gadget>
<output> 1/6 </output>
<gadget id="calculator">( 11 / 2 ) / ( 1 / 6 )</gadget>
<output> 33 </output>
<result> 33 </result>
|
ape210k__00577574
|
The diameter of the large circle is three times the radius of the small circle. If the area of the large circle is 36 square centimeters, what is the area of the small circle?
|
<gadget id="calculator">9 / 1</gadget>
<output>9</output>
<gadget id="calculator">36 / 9</gadget>
<output>4</output>
<result>4</result>
|
4
|
ape210k
|
The diameter of the large circle is three times the radius of the small circle. If the area of the large circle is 195 square centimeters, what is the area of the small circle?
|
<gadget id="calculator"> 9 / 1 </gadget>
<output> 9 </output>
<gadget id="calculator"> 195 / 9 </gadget>
<output> 65/3 </output>
<result> 65/3 </result>
|
ape210k__00347081
|
When the school built the fence, 4,560 bricks were shipped on the first day, which was 960 more bricks than on the second day. How many bricks were shipped in two days?
|
<gadget id="calculator">4_560 - 960</gadget>
<output>3_600</output>
<gadget id="calculator">3_600 + 4_560</gadget>
<output>8_160</output>
<result>8_160</result>
|
8_160
|
ape210k
|
When the school built the fence, 20 , 5594 bricks were shipped on the first day, which was 3694 more bricks than on the second day. How many bricks were shipped in two days?
|
<gadget id="calculator"> 4560 - 3694 </gadget>
<output> 866 </output>
<gadget id="calculator"> 866 + 4560 </gadget>
<output> 5_426 </output>
<result> 5_426 </result>
|
ape210k__00158873
|
If two cubes with side lengths of 5 cm are put together to form a cuboid, the surface area of the cuboid is reduced by the sum of the surface areas of the two cubes by how many square centimeters.
|
<gadget id="calculator">5 * 5 * 2</gadget>
<output>50</output>
<result>50</result>
|
50
|
ape210k
|
If two cubes with side lengths of 21 cm are put together to form a cuboid, the surface area of the cuboid is reduced by the sum of the surface areas of the two cubes by how many square centimeters.
|
<gadget id="calculator"> 21 * 21 * 2 </gadget>
<output> 882 </output>
<result> 882 </result>
|
ape210k__00309709
|
In order to green the city, a certain street needs to plant a batch of saplings, and the survival rate of these saplings is 75% to 80%. If 1400 saplings are to be planted alive, at least how many saplings must be planted.
|
<gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">1_400 / (4/5)</gadget>
<output>1_750</output>
<result>1_750</result>
|
1_750
|
ape210k
|
In order to green the city, a certain street needs to plant a batch of saplings, and the survival rate of these saplings is 131 % to 987 %. If 3587 saplings are to be planted alive, at least how many saplings must be planted.
|
<gadget id="calculator"> 987 / 100 </gadget>
<output> 987/100 </output>
<gadget id="calculator"> 3587 / ( 4 / 5 )</gadget>
<output> 17_935/4 </output>
<result> 17_935/4 </result>
|
ape210k__00599143
|
Wang Jun bought a book and a pen. The price of the book is 4 yuan, which belongs to the pen (2/5). How much is the price of the pen?
|
<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">4 / (2/5)</gadget>
<output>10</output>
<result>10</result>
|
10
|
ape210k
|
Wang Jun bought a book and a pen. The price of the book is 19 yuan, which belongs to the pen ( 10 / 9 ). How much is the price of the pen?
|
<gadget id="calculator"> 10 / 9 </gadget>
<output> 10/9 </output>
<gadget id="calculator"> 19 / ( 171/10 / 9 )</gadget>
<output> 171/10 </output>
<result> 171/10 </result>
|
ape210k__00902321
|
and B deposit a total of 960,000 yuan. If A withdraws some of his deposits and leaves 3/5 of his own deposits, but B does not withdraw, the deposits of the two are equal. How much is A's original deposit?
|
<gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">(3/5) + 1</gadget>
<output>8/5 = around 1.6</output>
<gadget id="calculator">96 / (8/5)</gadget>
<output>60</output>
<result>60</result>
|
60
|
ape210k
|
and B deposit a total of 1126 , 4045 yuan. If A withdraws some of his deposits and leaves 3 / 8 of his own deposits, but B does not withdraw, the deposits of the two are equal. How much is A's original deposit?
|
<gadget id="calculator"> 3 / 8 </gadget>
<output> 3/8 </output>
<gadget id="calculator">( 3 / 8 ) + 1 </gadget>
<output> 11/8 </output>
<gadget id="calculator"> 96 / ( 8 / 8 )</gadget>
<output> 96 </output>
<result> 96 </result>
|
ape210k__01117779
|
It is known that 12345679*9=111111111, so how much is 12345679*54=.
|
<gadget id="calculator">12_345_679 * 54</gadget>
<output>666_666_666</output>
<result>666_666_666</result>
|
666_666_666
|
ape210k
|
It is known that 12345679 * 9 = 111111111 , so how much is 12345679 * 54 =.
|
<gadget id="calculator"> 12345679 * 54 </gadget>
<output> 666666666 </output>
<result> 666666666 </result>
|
ape210k__00698637
|
A truck travels from A to B at a speed of 60 km/h, and another truck travels from B to A at a speed of 75 km/h. After 4 hours two trucks meet, how many kilometers are the distance between A and B?
|
<gadget id="calculator">60 + 75</gadget>
<output>135</output>
<gadget id="calculator">135 * 4</gadget>
<output>540</output>
<result>540</result>
|
540
|
ape210k
|
A truck travels from A to B at a speed of 407 km/h, and another truck travels from B to A at a speed of 563 km/h. After 65 hours two trucks meet, how many kilometers are the distance between A and B?
|
<gadget id="calculator"> 407 + 563 </gadget>
<output> 970 </output>
<gadget id="calculator"> 970 * 65 </gadget>
<output> 63_050 </output>
<result> 63_050 </result>
|
ape210k__00217569
|
The sum of the lengths of the sides of a cube is 96 cm, what is the length of the sides of the cube in cm?
|
<gadget id="calculator">96 / 12</gadget>
<output>8</output>
<result>8</result>
|
8
|
ape210k
|
The sum of the lengths of the sides of a cube is 580 cm, what is the length of the sides of the cube in cm?
|
<gadget id="calculator"> 580 / 12 </gadget>
<output> 145/3 </output>
<result> 145/3 </result>
|
ape210k__00966147
|
A water canal was built in Wangcun, an average of 1.05 kilometers per day in the first 4 days, and 5.16 kilometers in the next 5 days. How many kilometers of water canals were built on average per day?
|
<gadget id="calculator">1.05 * 4</gadget>
<output>4.2</output>
<gadget id="calculator">4.2 + 5.16</gadget>
<output>9.36</output>
<gadget id="calculator">4 + 5</gadget>
<output>9</output>
<gadget id="calculator">9.36 / 9</gadget>
<output>1.04</output>
<result>1.04</result>
|
1.04
|
ape210k
|
A water canal was built in Wangcun, an average of 1.95 kilometers per day in the first 92 days, and 48.27 kilometers in the next 93 days. How many kilometers of water canals were built on average per day?
|
<gadget id="calculator"> 1.95 * 92 </gadget>
<output> 179.4 </output>
<gadget id="calculator"> 179.4 + 48.27 </gadget>
<output> 227.67 </output>
<gadget id="calculator"> 92 + 93 </gadget>
<output> 185 </output>
<gadget id="calculator"> 227.67 / 185 </gadget>
<output> 1.230649 </output>
<result> 1.230649 </result>
|
ape210k__01061287
|
There are a total of 96 bottles of milk, every 6 bottles are packed in a box, and every 4 boxes are packed in a carton. How many boxes can it hold in total?
|
<gadget id="calculator">96 / 6 / 4</gadget>
<output>4</output>
<result>4</result>
|
4
|
ape210k
|
There are a total of 440 bottles of milk, every 93 bottles are packed in a box, and every 59 boxes are packed in a carton. How many boxes can it hold in total?
|
<gadget id="calculator"> 440 / 93 / 440/5_487 </gadget>
<output> 440/5_487 </output>
<result> 440/5_487 </result>
|
ape210k__00422079
|
A 6.4-meter-long iron wire is cut into several sections, welded into a cuboid frame, and then wrapped with iron sheets on all sides. To make the cuboid tin box with cover as much as possible to adorn the cube wood blocks (the space occupied by the iron wire is not counted) with a length of 1 decimeter as much as possible, how much area of iron sheet is needed to make this cuboid tin box?
|
<gadget id="calculator">5 * 5</gadget>
<output>25</output>
<gadget id="calculator">5 * 6</gadget>
<output>30</output>
<gadget id="calculator">25 + 30 + 30</gadget>
<output>85</output>
<gadget id="calculator">85 * 2</gadget>
<output>170</output>
<result>170</result>
|
170
|
ape210k
|
A 55.84 -meter-long iron wire is cut into several sections, welded into a cuboid frame, and then wrapped with iron sheets on all sides. To make the cuboid tin box with cover as much as possible to adorn the cube wood blocks (the space occupied by the iron wire is not counted) with a length of 26 decimeter as much as possible, how much area of iron sheet is needed to make this cuboid tin box?
|
<gadget id="calculator"> 5 * 5 </gadget>
<output> 25 </output>
<gadget id="calculator"> 5 * 6 </gadget>
<output> 30 </output>
<gadget id="calculator"> 25 + 30 + 30 </gadget>
<output> 85 </output>
<gadget id="calculator"> 85 * 2 </gadget>
<output> 170 </output>
<result> 170 </result>
|
ape210k__00970543
|
Number A is 720, Number B is (1/8) of Number A, Number C is (4/3) of Number B, what is the number of C?
|
<gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">720 * (1/8)</gadget>
<output>90</output>
<gadget id="calculator">4 / 3</gadget>
<output>4/3 = around 1.333333</output>
<gadget id="calculator">90 * (4/3)</gadget>
<output>120</output>
<result>120</result>
|
120
|
ape210k
|
Number A is 1883 , Number B is ( 48 / 5 ) of Number A, Number C is ( 6 / 89 ) of Number B, what is the number of C?
|
<gadget id="calculator"> 48 / 5 </gadget>
<output> 48/5 </output>
<gadget id="calculator"> 1883 * ( 48 / 5 )</gadget>
<output> 90_384/5 </output>
<gadget id="calculator"> 6 / 89 </gadget>
<output> 6/89 </output>
<gadget id="calculator"> 90_384/5 * ( 6 / 89 )</gadget>
<output> 542_304/445 </output>
<result> 542_304/445 </result>
|
ape210k__00398723
|
A rectangular parallelepiped water pipe has a length of 40 decimeters, a width of 2 decimeters and a height of 1.5 decimeters. How many square meters of iron sheets are needed to make a section of such a water pipe?
|
<gadget id="calculator">40 * 2</gadget>
<output>80</output>
<gadget id="calculator">40 * 1.5</gadget>
<output>60</output>
<gadget id="calculator">80 + 60</gadget>
<output>140</output>
<gadget id="calculator">2 / 100</gadget>
<output>1/50 = around 0.02</output>
<gadget id="calculator">140 * (1/50)</gadget>
<output>14/5 = around 2.8</output>
<result>14/5 = around 2.8</result>
|
14/5
|
ape210k
|
A rectangular parallelepiped water pipe has a length of 657 decimeters, a width of 62 decimeters and a height of 57.38 decimeters. How many square meters of iron sheets are needed to make a section of such a water pipe?
|
<gadget id="calculator"> 657 * 62 </gadget>
<output> 40_734 </output>
<gadget id="calculator"> 657 * 57.38 </gadget>
<output> 37698.66 </output>
<gadget id="calculator"> 40_734 + 37698.66 </gadget>
<output> 78432.66 </output>
<gadget id="calculator"> 62 / 100 </gadget>
<output> 31/50 </output>
<gadget id="calculator"> 78432.66 * ( 1 / 50 )</gadget>
<output> 1568.6532 </output>
<result> 1568.6532 </result>
|
ape210k__00247704
|
A piece of iron plate with a length of 0.6 meters and a width of 4 decimeters is cut into a circle with a radius of 5 centimeters. How many pieces can be cut at most?
|
<gadget id="calculator">5 * 2</gadget>
<output>10</output>
<gadget id="calculator">100 / 10</gadget>
<output>10</output>
<gadget id="calculator">0.6 * 10</gadget>
<output>6</output>
<gadget id="calculator">10 / 10</gadget>
<output>1</output>
<gadget id="calculator">4 * 1</gadget>
<output>4</output>
<gadget id="calculator">6 * 4</gadget>
<output>24</output>
<result>24</result>
|
24
|
ape210k
|
A piece of iron plate with a length of 9.75 meters and a width of 22 decimeters is cut into a circle with a radius of 1 centimeters. How many pieces can be cut at most?
|
<gadget id="calculator"> 1 * 2 </gadget>
<output> 2 </output>
<gadget id="calculator"> 100 / 50 </gadget>
<output> 50 </output>
<gadget id="calculator"> 9.75 * 50 </gadget>
<output> 487.5 </output>
<gadget id="calculator"> 50 / 50 </gadget>
<output> 1 </output>
<gadget id="calculator"> 22 * 1 </gadget>
<output> 22 </output>
<gadget id="calculator"> 487.5 * 22 </gadget>
<output> 10725 </output>
<result> 10725 </result>
|
ape210k__00527023
|
Five referees score a diver. If the highest score is removed, the average score will be 9 points; if the lowest score is removed, the average score will be 9.3 points. What is the difference between the highest score and the lowest score
|
<gadget id="calculator">9.3 * 4</gadget>
<output>37.2</output>
<gadget id="calculator">9 * 4</gadget>
<output>36</output>
<gadget id="calculator">37.2 - 36</gadget>
<output>1.2</output>
<result>1.2</result>
|
1.2
|
ape210k
|
Five referees score a diver. If the highest score is removed, the average score will be 4 points; if the lowest score is removed, the average score will be 59.47 points. What is the difference between the highest score and the lowest score
|
<gadget id="calculator"> 59.47 * 4 </gadget>
<output> 237.88 </output>
<gadget id="calculator"> 4 * 4 </gadget>
<output> 16 </output>
<gadget id="calculator"> 237.88 - 16 </gadget>
<output> 221.88 </output>
<result> 221.88 </result>
|
ape210k__01181231
|
The circumference of a circular flower bed is 37.68 meters. How many square meters does this flower bed occupy?
|
<gadget id="calculator">37.68 / 3.14 / 2</gadget>
<output>6</output>
<gadget id="calculator">6 ** 2</gadget>
<output>36</output>
<gadget id="calculator">3.14 * 36</gadget>
<output>113.04</output>
<result>113.04</result>
|
113.04
|
ape210k
|
The circumference of a circular flower bed is 10.46 meters. How many square meters does this flower bed occupy?
|
<gadget id="calculator"> 10.46 / 3.14 / 2 </gadget>
<output> 1.665605 </output>
<gadget id="calculator"> 1.665605 ** 2 </gadget>
<output> 2.77424 </output>
<gadget id="calculator"> 3.14 * 2.77424 </gadget>
<output> 8.711114 </output>
<result> 8.711114 </result>
|
ape210k__00889073
|
cylindrical steel, cut off 1 meter. The measured diameter of its cross-section is 20 centimeters, and the cut volume accounts for (1/3) of the steel. How many cubic decimeters was the original volume of the steel? (π takes 3.142)
|
<gadget id="calculator">20 / 2</gadget>
<output>10</output>
<gadget id="calculator">10 ** 2</gadget>
<output>100</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">100 / 1_000 / (1/3)</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">3.142 * 100 * 1 * (3/10)</gadget>
<output>94.26</output>
<result>94.26</result>
|
94.26
|
ape210k
|
cylindrical steel, cut off 1 meter. The measured diameter of its cross-section is 9 centimeters, and the cut volume accounts for ( 1 / 1 ) of the steel. How many cubic decimeters was the original volume of the steel? (π takes 1.67 )
|
<gadget id="calculator"> 9 / 2 </gadget>
<output> 9/2 </output>
<gadget id="calculator"> 9/2 ** 2 </gadget>
<output> 100 </output>
<gadget id="calculator"> 1 / 1 </gadget>
<output> 1 </output>
<gadget id="calculator"> 100 / 1000 / ( 1 / 1 )</gadget>
<output> 1/10 </output>
<gadget id="calculator"> 1.67 * 100 * 1 * ( 1 / 9/2 )</gadget>
<output> 9.277778 </output>
<result> 9.277778 </result>
|
ape210k__00633241
|
book has 385 pages in total. Xiao Ming reads 89 pages on the first day, 85 pages on the second day, and 111 pages on the third day. How many pages are left?
|
<gadget id="calculator">385 - 85 - 89 - 111</gadget>
<output>100</output>
<result>100</result>
|
100
|
ape210k
|
book has 5429 pages in total. Xiao Ming reads 369 pages on the first day, 525 pages on the second day, and 3302 pages on the third day. How many pages are left?
|
<gadget id="calculator"> 5429 - 525 - 369 - 3302 </gadget>
<output> 1_233 </output>
<result> 1_233 </result>
|
ape210k__01149547
|
The largest square in the world is Tiananmen Square in Beijing, the capital of China. It was built at the beginning of the 20th century, covers an area of 39.6 hectares, can accommodate 1 million people to gather, how many square meters each person occupies on average.
|
<gadget id="calculator">39.6 * 10_000</gadget>
<output>396_000</output>
<gadget id="calculator">100 * 10_000</gadget>
<output>1_000_000</output>
<gadget id="calculator">396_000 / 1_000_000</gadget>
<output>99/250 = around 0.396</output>
<result>99/250 = around 0.396</result>
|
99/250
|
ape210k
|
The largest square in the world is Tiananmen Square in Beijing, the capital of China. It was built at the beginning of the 20 th century, covers an area of 39.6 hectares, can accommodate 1 million people to gather, how many square meters each person occupies on average.
|
<gadget id="calculator"> 39.6 * 10000 </gadget>
<output> 396000 </output>
<gadget id="calculator"> 100 * 10000 </gadget>
<output> 1000000 </output>
<gadget id="calculator"> 396000 / 1000000 </gadget>
<output> 99 / 250 = around 0.396 </output>
<result> 99 / 250 = around 0.396 </result>
|
math_qa__fDX5kqP8hS9S5GJD
|
Two pipes can fill the cistern in 10hr and 12 hr respectively, while the third empty it in 25hr. If all pipes are opened simultaneously, then the cistern will be filled in Choose the correct choice from the following answers: A) 7.5 hr B) 6.98 hr C) 8.5 hr D) 10 hr E) none of these
|
<gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">(1/10) + (1/12)</gadget>
<output>11/60 = around 0.183333</output>
<gadget id="calculator">1 / 25</gadget>
<output>1/25 = around 0.04</output>
<gadget id="calculator">(11/60) - (1/25)</gadget>
<output>43/300 = around 0.143333</output>
<gadget id="calculator">1 / (43/300)</gadget>
<output>300/43 = around 6.976744</output>
<result>B</result>
|
B
|
math_qa
|
Two pipes can fill the cistern in 773 hr and 703 hr respectively, while the third empty it in 272 hr. If all pipes are opened simultaneously, then the cistern will be filled in Choose the correct choice from the following answers: A) 33.26 hr B) 300/43 C) 90.05 hr D) 773 hr E) none of these
|
<gadget id="calculator"> 1 / 773 </gadget>
<output> 1/773 </output>
<gadget id="calculator"> 1 / 703 </gadget>
<output> 1/703 </output>
<gadget id="calculator">( 1 / 773 ) + ( 1 / 703 )</gadget>
<output> 1_476/543_419 </output>
<gadget id="calculator"> 1 / 272 </gadget>
<output> 1/272 </output>
<gadget id="calculator">( 11 / 60 ) - ( 1 / 272 )</gadget>
<output> 733/4_080 </output>
<gadget id="calculator"> 1 / ( 43 / 300 )</gadget>
<output> 300/43 </output>
<result>B</result>
|
ape210k__00560977
|
Among all positive integers that are multiples of 20, what is the sum of the numbers that are multiples of 14 that do not exceed 2014?
|
<gadget id="calculator">140 + 1_960</gadget>
<output>2_100</output>
<gadget id="calculator">14 / 2</gadget>
<output>7</output>
<gadget id="calculator">2_100 * 7</gadget>
<output>14_700</output>
<result>14_700</result>
|
14_700
|
ape210k
|
Among all positive integers that are multiples of 943 , what is the sum of the numbers that are multiples of 115 that do not exceed 48835 ?
|
<gadget id="calculator"> 140 + 1960 </gadget>
<output> 2_100 </output>
<gadget id="calculator"> 115 / 2 </gadget>
<output> 115/2 </output>
<gadget id="calculator"> 2_100 * 115/2 </gadget>
<output> 120_750 </output>
<result> 120_750 </result>
|
ape210k__00050953
|
The fifth grade participates in the summer camp activities, whether it is a group of 7 people or a group of 8 people, there is nothing left. How many people are there to participate in the summer camp?
|
<gadget id="calculator">7 * 8</gadget>
<output>56</output>
<result>56</result>
|
56
|
ape210k
|
The fifth grade participates in the summer camp activities, whether it is a group of 14 people or a group of 93 people, there is nothing left. How many people are there to participate in the summer camp?
|
<gadget id="calculator"> 14 * 93 </gadget>
<output> 1_302 </output>
<result> 1_302 </result>
|
ape210k__00102088
|
pile of goods is transported away (1/4) for the first time, and (2/5) of all the goods is transported for the second time, leaving 21 tons. How many tons is this pile of goods?
|
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1 - (1/4) - (2/5)</gadget>
<output>7/20 = around 0.35</output>
<gadget id="calculator">21 / (7/20)</gadget>
<output>60</output>
<result>60</result>
|
60
|
ape210k
|
pile of goods is transported away ( 96 / 93 ) for the first time, and ( 98 / 53 ) of all the goods is transported for the second time, leaving 426 tons. How many tons is this pile of goods?
|
<gadget id="calculator"> 96 / 93 </gadget>
<output> 32/31 </output>
<gadget id="calculator"> 98 / 53 </gadget>
<output> 98/53 </output>
<gadget id="calculator"> 96 - ( 96 / 93 ) - ( 98 / 53 )</gadget>
<output> 152_994/1_643 </output>
<gadget id="calculator"> 426 / ( 7 / 20 )</gadget>
<output> 8_520/7 </output>
<result> 8_520/7 </result>
|
ape210k__00176461
|
If a cube with sides 8 cm long is sawed into smaller cubes with sides 4 cm long, what is the increase in surface area?
|
<gadget id="calculator">8 * 8 * 6</gadget>
<output>384</output>
<result>384</result>
|
384
|
ape210k
|
If a cube with sides 37 cm long is sawed into smaller cubes with sides 35 cm long, what is the increase in surface area?
|
<gadget id="calculator"> 37 * 37 * 6 </gadget>
<output> 8_214 </output>
<result> 8_214 </result>
|
ape210k__00323079
|
The original price of a coat is 100 yuan, and the current price is 80 yuan. How much is the price reduction from the original price?
|
<gadget id="calculator">100 - 80</gadget>
<output>20</output>
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<result>1/5 = around 0.2</result>
|
1/5
|
ape210k
|
The original price of a coat is 6472 yuan, and the current price is 268 yuan. How much is the price reduction from the original price?
|
<gadget id="calculator"> 6472 - 268 </gadget>
<output> 6_204 </output>
<gadget id="calculator"> 6_204 / 6472 </gadget>
<output> 1_551/1_618 </output>
<result> 1_551/1_618 </result>
|
ape210k__00603637
|
It is known that 4x+8=10, then 2x+4=how much.
|
<gadget id="calculator">10 - 8</gadget>
<output>2</output>
<gadget id="calculator">2 / 4</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">2 * (1/2)</gadget>
<output>1</output>
<gadget id="calculator">1 + 4</gadget>
<output>5</output>
<result>5</result>
|
5
|
ape210k
|
It is known that 70 x+ 37 = 149 , then 41 x+ 70 =how much.
|
<gadget id="calculator"> 149 - 37 </gadget>
<output> 112 </output>
<gadget id="calculator"> 112 / 70 </gadget>
<output> 8/5 </output>
<gadget id="calculator"> 112 * ( 1 / 112 )</gadget>
<output> 1 </output>
<gadget id="calculator"> 1 + 70 </gadget>
<output> 71 </output>
<result> 71 </result>
|
ape210k__00128974
|
Hope that there are 20 girls in Class 1 of Primary School, 5 fewer than boys (5/6), how many boys are there in Class 1 of Six?
|
<gadget id="calculator">20 + 5</gadget>
<output>25</output>
<gadget id="calculator">5 / 6</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">25 / (5/6)</gadget>
<output>30</output>
<result>30</result>
|
30
|
ape210k
|
Hope that there are 170 girls in Class 41 of Primary School, 98 fewer than boys ( 98 / 44 ), how many boys are there in Class 41 of Six?
|
<gadget id="calculator"> 170 + 98 </gadget>
<output> 268 </output>
<gadget id="calculator"> 98 / 44 </gadget>
<output> 49/22 </output>
<gadget id="calculator"> 268 / ( 98 / 44 )</gadget>
<output> 5_896/49 </output>
<result> 5_896/49 </result>
|
ape210k__00539137
|
For a trapezoidal steel plate, the sum of the upper and lower bases is 24.8m, which is 4 times the height. If the price of this steel plate is 82 yuan per square meter, how much does it cost to buy this steel plate?
|
<gadget id="calculator">24.8 / 4</gadget>
<output>6.2</output>
<gadget id="calculator">6.2 / 2</gadget>
<output>3.1</output>
<gadget id="calculator">24.8 * 3.1 * 82</gadget>
<output>6_304.16</output>
<result>6_304.16</result>
|
6_304.16
|
ape210k
|
For a trapezoidal steel plate, the sum of the upper and lower bases is 343.76 m, which is 60 times the height. If the price of this steel plate is 109 yuan per square meter, how much does it cost to buy this steel plate?
|
<gadget id="calculator"> 343.76 / 60 </gadget>
<output> 5.729333 </output>
<gadget id="calculator"> 5.729333 / 2 </gadget>
<output> 2.864666 </output>
<gadget id="calculator"> 343.76 * 2.864666 * 109 </gadget>
<output> 107338.576673 </output>
<result> 107338.576673 </result>
|
ape210k__01125599
|
Liangliang is 10 years old this year. Three years ago, his father was five times his age. How old is his father this year?
|
<gadget id="calculator">10 - 3</gadget>
<output>7</output>
<gadget id="calculator">7 * 5</gadget>
<output>35</output>
<gadget id="calculator">35 + 3</gadget>
<output>38</output>
<result>38</result>
|
38
|
ape210k
|
Liangliang is 952 years old this year. Three years ago, his father was five times his age. How old is his father this year?
|
<gadget id="calculator"> 952 - 3 </gadget>
<output> 949 </output>
<gadget id="calculator"> 949 * 5 </gadget>
<output> 4_745 </output>
<gadget id="calculator"> 4_745 + 3 </gadget>
<output> 4_748 </output>
<result> 4_748 </result>
|
ape210k__00505818
|
A circle is surrounded by a 25.12cm long iron wire, what is the area of the circle in square centimeters?
|
<gadget id="calculator">25.12 / 3.14 / 2</gadget>
<output>4</output>
<gadget id="calculator">4 ** 2</gadget>
<output>16</output>
<gadget id="calculator">3.14 * 16</gadget>
<output>50.24</output>
<result>50.24</result>
|
50.24
|
ape210k
|
A circle is surrounded by a 9.07 cm long iron wire, what is the area of the circle in square centimeters?
|
<gadget id="calculator"> 9.07 / 3.14 / 2 </gadget>
<output> 1.444268 </output>
<gadget id="calculator"> 1.444268 ** 2 </gadget>
<output> 2.08591 </output>
<gadget id="calculator"> 3.14 * 2.08591 </gadget>
<output> 6.549757 </output>
<result> 6.549757 </result>
|
ape210k__00419117
|
Cut the largest circle on a rectangular cardboard with a length of 8 cm and a width of 5 cm. What is the area of the circle in d㎡?
|
<gadget id="calculator">5 / 2</gadget>
<output>5/2 = around 2.5</output>
<gadget id="calculator">(5/2) ** 2</gadget>
<output>25/4 = around 6.25</output>
<gadget id="calculator">3.14 * (25/4)</gadget>
<output>19.625</output>
<result>19.625</result>
|
19.625
|
ape210k
|
Cut the largest circle on a rectangular cardboard with a length of 1 cm and a width of 1 cm. What is the area of the circle in d㎡?
|
<gadget id="calculator"> 1 / 2 </gadget>
<output> 1/2 </output>
<gadget id="calculator">( 1 / 2 ) ** 2 </gadget>
<output> 25 / 4 = around 6.25 </output>
<gadget id="calculator"> 3.14 * ( 25 / 4 )</gadget>
<output> 19.625 </output>
<result> 19.625 </result>
|
ape210k__01164385
|
The production of Uncle Li’s Shatian pomelo reached 24,000 tons this year, which is 20% more than last year’s production.
|
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 + (1/5)</gadget>
<output>6/5 = around 1.2</output>
<gadget id="calculator">2.4 / (6/5)</gadget>
<output>2</output>
<result>2</result>
|
2
|
ape210k
|
The production of Uncle Li’s Shatian pomelo reached 411 , 1296 tons this year, which is 355 % more than last year’s production.
|
<gadget id="calculator"> 355 / 100 </gadget>
<output> 71/20 </output>
<gadget id="calculator"> 1 + ( 1 / 5 )</gadget>
<output> 6/5 </output>
<gadget id="calculator"> 2.4 / ( 6 / 5 )</gadget>
<output> 2 </output>
<result> 2 </result>
|
ape210k__00665169
|
Xiaohong's home is 240 meters away from school. It took Xiaohong 5 minutes to go to school and 3 minutes to return home. What is the average speed of Xiaohong's round trip in meters per minute?
|
<gadget id="calculator">5 + 3</gadget>
<output>8</output>
<gadget id="calculator">2 / 8</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">240 * (1/4)</gadget>
<output>60</output>
<result>60</result>
|
60
|
ape210k
|
Xiaohong's home is 2425 meters away from school. It took Xiaohong 57 minutes to go to school and 7 minutes to return home. What is the average speed of Xiaohong's round trip in meters per minute?
|
<gadget id="calculator"> 57 + 7 </gadget>
<output> 64 </output>
<gadget id="calculator"> 2 / 64 </gadget>
<output> 1/32 </output>
<gadget id="calculator"> 2425 * ( 1 / 4 )</gadget>
<output> 2_425/4 </output>
<result> 2_425/4 </result>
|
ape210k__00194700
|
Two masters and apprentices process a batch of parts. It takes 37 hours for the master to do it alone. The apprentice can process 30 parts per hour. Now the two masters and apprentices process at the same time. 9). How many parts are there in this batch?
|
<gadget id="calculator">5 / 9</gadget>
<output>5/9 = around 0.555556</output>
<gadget id="calculator">30 / (5/9)</gadget>
<output>54</output>
<gadget id="calculator">54 * 37</gadget>
<output>1_998</output>
<result>1_998</result>
|
1_998
|
ape210k
|
Two masters and apprentices process a batch of parts. It takes 516 hours for the master to do it alone. The apprentice can process 416 parts per hour. Now the two masters and apprentices process at the same time. 56 ). How many parts are there in this batch?
|
<gadget id="calculator"> 5 / 56 </gadget>
<output> 5/56 </output>
<gadget id="calculator"> 416 / ( 5 / 56 )</gadget>
<output> 23_296/5 </output>
<gadget id="calculator"> 23_296/5 * 516 </gadget>
<output> 12_020_736/5 </output>
<result> 12_020_736/5 </result>
|
ape210k__00047798
|
What is the area of a rectangle that is 9 meters long and 5 meters wide?
|
<gadget id="calculator">9 * 5</gadget>
<output>45</output>
<result>45</result>
|
45
|
ape210k
|
What is the area of a rectangle that is 89 meters long and 36 meters wide?
|
<gadget id="calculator"> 89 * 36 </gadget>
<output> 3_204 </output>
<result> 3_204 </result>
|
ape210k__01103047
|
If a group of bullet trains travels 244 kilometers in 4 hours, how many kilometers does it travel on average per hour?
|
<gadget id="calculator">244 / 4</gadget>
<output>61</output>
<result>61</result>
|
61
|
ape210k
|
If a group of bullet trains travels 1138 kilometers in 84 hours, how many kilometers does it travel on average per hour?
|
<gadget id="calculator"> 1138 / 84 </gadget>
<output> 569/42 </output>
<result> 569/42 </result>
|
ape210k__00658763
|
A ring has an outer radius of 10 cm and an inner radius of 8 cm. What is the area of the ring in square centimetres?
|
<gadget id="calculator">10 ** 2</gadget>
<output>100</output>
<gadget id="calculator">8 ** 2</gadget>
<output>64</output>
<gadget id="calculator">100 - 64</gadget>
<output>36</output>
<gadget id="calculator">3.14 * 36</gadget>
<output>113.04</output>
<result>113.04</result>
|
113.04
|
ape210k
|
A ring has an outer radius of 10 cm and an inner radius of 1 cm. What is the area of the ring in square centimetres?
|
<gadget id="calculator"> 10 ** 2 </gadget>
<output> 100 </output>
<gadget id="calculator"> 1 ** 2 </gadget>
<output> 1 </output>
<gadget id="calculator"> 100 - 1 </gadget>
<output> 99 </output>
<gadget id="calculator"> 3.14 * 99 </gadget>
<output> 310.86 </output>
<result> 310.86 </result>
|
ape210k__00516079
|
A kind of soybean salad oil, the original price is 50 yuan, the current price is 40 yuan, what percentage is the price reduction?
|
<gadget id="calculator">50 - 40</gadget>
<output>10</output>
<gadget id="calculator">10 / 50</gadget>
<output>1/5 = around 0.2</output>
<result>1/5 = around 0.2</result>
|
1/5
|
ape210k
|
A kind of soybean salad oil, the original price is 641 yuan, the current price is 297 yuan, what percentage is the price reduction?
|
<gadget id="calculator"> 641 - 297 </gadget>
<output> 344 </output>
<gadget id="calculator"> 344 / 641 </gadget>
<output> 344/641 </output>
<result> 344/641 </result>
|
ape210k__00877223
|
The school set up a painting group. The ratio of boys to girls was 9:11. Later, 16 girls joined. At this time, the ratio of boys to girls was 1:3. How many people were there in the painting group?
|
<gadget id="calculator">11 / 9</gadget>
<output>11/9 = around 1.222222</output>
<gadget id="calculator">3 - (11/9)</gadget>
<output>16/9 = around 1.777778</output>
<gadget id="calculator">16 / (16/9)</gadget>
<output>9</output>
<gadget id="calculator">9 * 3</gadget>
<output>27</output>
<gadget id="calculator">9 + 27</gadget>
<output>36</output>
<result>36</result>
|
36
|
ape210k
|
The school set up a painting group. The ratio of boys to girls was 30 : 678 . Later, 465 girls joined. At this time, the ratio of boys to girls was 64 : 38 . How many people were there in the painting group?
|
<gadget id="calculator"> 678 / 30 </gadget>
<output> 113/5 </output>
<gadget id="calculator"> 38 - ( 678 / 30 )</gadget>
<output> 77/5 </output>
<gadget id="calculator"> 465 / ( 465 / 30 )</gadget>
<output> 30 </output>
<gadget id="calculator"> 30 * 38 </gadget>
<output> 1_140 </output>
<gadget id="calculator"> 30 + 1_140 </gadget>
<output> 1_170 </output>
<result> 1_170 </result>
|
ape210k__00159269
|
There is a series of numbers 2, 5, 4, 5, ..., starting from the third number, each number is equal to the remainder of 2 times the previous number and the sum of the previous second number divided by 8. What is the sum of the first 100 numbers?
|
<gadget id="calculator">2 + 5 + 4 + 5 + 6 + 1 + 0 + 1</gadget>
<output>24</output>
<gadget id="calculator">24 * 12</gadget>
<output>288</output>
<gadget id="calculator">2 + 5 + 4 + 5</gadget>
<output>16</output>
<gadget id="calculator">288 + 16</gadget>
<output>304</output>
<result>304</result>
|
304
|
ape210k
|
There is a series of numbers 83 , 58 , 27 , 58 , ..., starting from the third number, each number is equal to the remainder of 83 times the previous number and the sum of the previous second number divided by 79 . What is the sum of the first 3395 numbers?
|
<gadget id="calculator"> 83 + 58 + 27 + 58 + 6 + 1 + 0 + 1 </gadget>
<output> 234 </output>
<gadget id="calculator"> 234 * 12 </gadget>
<output> 2_808 </output>
<gadget id="calculator"> 83 + 58 + 27 + 58 </gadget>
<output> 226 </output>
<gadget id="calculator"> 2_808 + 226 </gadget>
<output> 3_034 </output>
<result> 3_034 </result>
|
ape210k__00279090
|
The hospital built two cylindrical flower beds of the same size. The inner diameter of the bottom of the flower bed is 3 meters and the height is 0.6 meters. If the height of the filling soil inside is 0.5 meters, how many cubic meters of filling soil are needed for the two flower beds?
|
<gadget id="calculator">3 / 2</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">(3/2) ** 2</gadget>
<output>9/4 = around 2.25</output>
<gadget id="calculator">3.14 * (9/4) * 0.5 * 2</gadget>
<output>7.065</output>
<result>7.065</result>
|
7.065
|
ape210k
|
The hospital built two cylindrical flower beds of the same size. The inner diameter of the bottom of the flower bed is 1 meters and the height is 1.7 meters. If the height of the filling soil inside is 1.3900000000000001 meters, how many cubic meters of filling soil are needed for the two flower beds?
|
<gadget id="calculator"> 1 / 2 </gadget>
<output> 1/2 </output>
<gadget id="calculator">( 1 / 2 ) ** 2 </gadget>
<output> 9 / 4 = around 2.25 </output>
<gadget id="calculator"> 3.14 * ( 9 / 4 ) * 1.3900000000000001 * 2 </gadget>
<output> 19.6407 </output>
<result> 19.6407 </result>
|
ape210k__01135053
|
It is 28 decimeters to make a positive shape nozzle perimeter, and 12 ventilation pipes of 20 decimeters, how many square meters of iron sheet are needed at least?
|
<gadget id="calculator">12 / 100</gadget>
<output>3/25 = around 0.12</output>
<gadget id="calculator">28 * 20 * (3/25)</gadget>
<output>336/5 = around 67.2</output>
<result>336/5 = around 67.2</result>
|
336/5
|
ape210k
|
It is 684 decimeters to make a positive shape nozzle perimeter, and 996 ventilation pipes of 394 decimeters, how many square meters of iron sheet are needed at least?
|
<gadget id="calculator"> 996 / 100 </gadget>
<output> 249/25 </output>
<gadget id="calculator"> 684 * 394 * ( 3 / 25 )</gadget>
<output> 808_488/25 </output>
<result> 808_488/25 </result>
|
ape210k__00064504
|
A and B are running on a 400-meter-long circular track. They start from the same place and run in opposite directions at the same time. The interval from the first encounter to the second encounter is 40 seconds. A runs 6 meters per second, and B runs 6 meters per second. How many meters did you run?
|
<gadget id="calculator">400 / 40</gadget>
<output>10</output>
<gadget id="calculator">10 - 6</gadget>
<output>4</output>
<result>4</result>
|
4
|
ape210k
|
A and B are running on a 4945 -meter-long circular track. They start from the same place and run in opposite directions at the same time. The interval from the first encounter to the second encounter is 483 seconds. A runs 2 meters per second, and B runs 2 meters per second. How many meters did you run?
|
<gadget id="calculator"> 4945 / 483 </gadget>
<output> 215/21 </output>
<gadget id="calculator"> 215/21 - 2 </gadget>
<output> 173/21 </output>
<result> 173/21 </result>
|
ape210k__00130396
|
The number A is 33.3 less than the number B. If the decimal point of the number A is moved one place to the right, it is equal to the number B. What is the number B?
|
<gadget id="calculator">10 - 1</gadget>
<output>9</output>
<gadget id="calculator">33.3 / 9</gadget>
<output>3.7</output>
<gadget id="calculator">3.7 * 10</gadget>
<output>37</output>
<result>37</result>
|
37
|
ape210k
|
The number A is 181.63 less than the number B. If the decimal point of the number A is moved one place to the right, it is equal to the number B. What is the number B?
|
<gadget id="calculator"> 10 - 1 </gadget>
<output> 9 </output>
<gadget id="calculator"> 181.63 / 9 </gadget>
<output> 20.181111 </output>
<gadget id="calculator"> 20.181111 * 10 </gadget>
<output> 201.81111 </output>
<result> 201.81111 </result>
|
ape210k__00343515
|
A factory plans to produce 9 tons of products per day in February next year. How many tons of goods is expected to be produced by this factory.
|
<gadget id="calculator">9 * 28</gadget>
<output>252</output>
<result>252</result>
|
252
|
ape210k
|
A factory plans to produce 41 tons of products per day in February next year. How many tons of goods is expected to be produced by this factory.
|
<gadget id="calculator"> 41 * 28 </gadget>
<output> 1_148 </output>
<result> 1_148 </result>
|
ape210k__00996447
|
The supermarket ships back 8 cartons of milk, each carton has 24 bags, and the purchase price of each bag is 1.25 yuan. How much is the total purchase price of these milks?
|
<gadget id="calculator">8 * 24 * 1.25</gadget>
<output>240</output>
<result>240</result>
|
240
|
ape210k
|
The supermarket ships back 2 cartons of milk, each carton has 487 bags, and the purchase price of each bag is 5.45 yuan. How much is the total purchase price of these milks?
|
<gadget id="calculator"> 2 * 487 * 5.45 </gadget>
<output> 5308.3 </output>
<result> 5308.3 </result>
|
math_qa__kGSWE9yAsq9SnZlY
|
If ‘+’ means ‘×’, ‘-‘ means ‘+’, ‘×’ means ‘÷’ and ‘÷’ means ‘-‘ then find the value of;
6 – 9 + 8 × 3 ÷ 25 = Choose the correct choice:
A) 6 B) 10 C) 12 D) 5 E) 8
|
<gadget id="calculator">9 * 8</gadget>
<output>72</output>
<gadget id="calculator">72 / 3</gadget>
<output>24</output>
<gadget id="calculator">24 + 6</gadget>
<output>30</output>
<gadget id="calculator">30 - 25</gadget>
<output>5</output>
<result>D</result>
|
D
|
math_qa
|
If ‘+’ means ‘×’, ‘-‘ means ‘+’, ‘×’ means ‘÷’ and ‘÷’ means ‘-‘ then find the value of; 35 – 617 + 94 × 62 ÷ 488 = Choose the correct choice:
A) 35 B) 423 C) 617 D) 14_956/31 E) 94
|
<gadget id="calculator"> 617 * 94 </gadget>
<output> 57_998 </output>
<gadget id="calculator"> 57_998 / 62 </gadget>
<output> 28_999/31 </output>
<gadget id="calculator"> 28_999/31 + 35 </gadget>
<output> 30_084/31 </output>
<gadget id="calculator"> 30_084/31 - 488 </gadget>
<output> 14_956/31 </output>
<result>D</result>
|
ape210k__00807113
|
Uncle Wang transported the harvested apples to other places. He has already filled 12 carts with 35 baskets per cart, and there are still 10 baskets left. How many baskets of apples did Uncle Wang harvest in total?
|
<gadget id="calculator">35 * 12</gadget>
<output>420</output>
<gadget id="calculator">420 + 10</gadget>
<output>430</output>
<result>430</result>
|
430
|
ape210k
|
Uncle Wang transported the harvested apples to other places. He has already filled 74 carts with 71 baskets per cart, and there are still 619 baskets left. How many baskets of apples did Uncle Wang harvest in total?
|
<gadget id="calculator"> 71 * 74 </gadget>
<output> 5_254 </output>
<gadget id="calculator"> 5_254 + 619 </gadget>
<output> 5_873 </output>
<result> 5_873 </result>
|
ape210k__00375385
|
Two barrels of oil are 28 kilograms in total. If (1/8) is poured from barrel A to barrel B, the weight of the two barrels of oil is equal. How many kilograms is less in barrel B than in barrel A?
|
<gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">1 - (1/8)</gadget>
<output>7/8 = around 0.875</output>
<gadget id="calculator">28 / 2 / (7/8)</gadget>
<output>16</output>
<gadget id="calculator">28 - 16</gadget>
<output>12</output>
<gadget id="calculator">16 - 12</gadget>
<output>4</output>
<result>4</result>
|
4
|
ape210k
|
Two barrels of oil are 368 kilograms in total. If ( 15 / 14 ) is poured from barrel A to barrel B, the weight of the two barrels of oil is equal. How many kilograms is less in barrel B than in barrel A?
|
<gadget id="calculator"> 15 / 14 </gadget>
<output> 15/14 </output>
<gadget id="calculator"> 15 - ( 15 / 14 )</gadget>
<output> 195/14 </output>
<gadget id="calculator"> 368 / 2 / ( 7 / 14 )</gadget>
<output> 368 </output>
<gadget id="calculator"> 368 - 368 </gadget>
<output> 0 </output>
<gadget id="calculator"> 368 - 0 </gadget>
<output> 368 </output>
<result> 368 </result>
|
ape210k__00614206
|
The ratio of 3 and 8 is equal to the inverse ratio of x and 72, find x.
|
<gadget id="calculator">8 * 72</gadget>
<output>576</output>
<gadget id="calculator">576 / 3</gadget>
<output>192</output>
<result>192</result>
|
192
|
ape210k
|
The ratio of 87 and 37 is equal to the inverse ratio of x and 881 , find x.
|
<gadget id="calculator"> 37 * 881 </gadget>
<output> 32_597 </output>
<gadget id="calculator"> 32_597 / 87 </gadget>
<output> 32_597/87 </output>
<result> 32_597/87 </result>
|
ape210k__01211711
|
A pile of coal, the factory originally planned to burn 15 tons per day for 60 days, but actually saved 20% of the original plan every day. How many days did this batch of coal actually burn?
|
<gadget id="calculator">60 * 15</gadget>
<output>900</output>
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 - (1/5)</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">15 * (4/5)</gadget>
<output>12</output>
<gadget id="calculator">900 / 12</gadget>
<output>75</output>
<result>75</result>
|
75
|
ape210k
|
A pile of coal, the factory originally planned to burn 407 tons per day for 148 days, but actually saved 486 % of the original plan every day. How many days did this batch of coal actually burn?
|
<gadget id="calculator"> 148 * 407 </gadget>
<output> 60_236 </output>
<gadget id="calculator"> 486 / 100 </gadget>
<output> 243/50 </output>
<gadget id="calculator"> 1 - ( 1 / 5 )</gadget>
<output> 4/5 </output>
<gadget id="calculator"> 407 * ( 4 / 5 )</gadget>
<output> 1_628/5 </output>
<gadget id="calculator"> 60_236 / 1_628/5 </gadget>
<output> 37/5 </output>
<result> 37/5 </result>
|
ape210k__00326609
|
The fertilizer factory produced 483.6 tons of fertilizers in June, 254.8 tons in the first half of July, and 287.4 tons in the second half of July. How many tons more fertilizers were produced in July than in June?
|
<gadget id="calculator">287.4 - 483.6</gadget>
<output>-196.2</output>
<gadget id="calculator">254.8 + (-196.2)</gadget>
<output>58.6</output>
<result>58.6</result>
|
58.6
|
ape210k
|
The fertilizer factory produced 921.27 tons of fertilizers in June, 7334.45 tons in the first half of July, and 2785.97 tons in the second half of July. How many tons more fertilizers were produced in July than in June?
|
<gadget id="calculator"> 2785.97 - 921.27 </gadget>
<output>- 196.2 </output>
<gadget id="calculator"> 7334.45 + (- 196.2 )</gadget>
<output> 7138.25 </output>
<result> 7138.25 </result>
|
ape210k__00303156
|
There are two cylindrical glasses, A and B, with inner diameters of 20 cm and 24 cm, respectively, containing a certain amount of water. An iron block is sunk in cup A, when the iron block is taken out, the water level in cup A drops by 6 cm; then the iron block is sunk in cup B, and the water in cup B does not overflow, then the water level in cup B How many centimeters has the water level risen?
|
<gadget id="calculator">1_884 / 452.16</gadget>
<output>4.166667</output>
<result>4.166667</result>
|
4.166667
|
ape210k
|
There are two cylindrical glasses, A and B, with inner diameters of 774 cm and 655 cm, respectively, containing a certain amount of water. An iron block is sunk in cup A, when the iron block is taken out, the water level in cup A drops by 94 cm; then the iron block is sunk in cup B, and the water in cup B does not overflow, then the water level in cup B How many centimeters has the water level risen?
|
<gadget id="calculator"> 1884 / 452.16 </gadget>
<output> 4.166667 </output>
<result> 4.166667 </result>
|
ape210k__00076016
|
An airplane flies 860 kilometers per hour, which is 20 kilometers more than six times that of a train per hour. How many kilometers per hour does the train travel?
|
<gadget id="calculator">860 - 20</gadget>
<output>840</output>
<gadget id="calculator">840 / 6</gadget>
<output>140</output>
<result>140</result>
|
140
|
ape210k
|
An airplane flies 2823 kilometers per hour, which is 850 kilometers more than six times that of a train per hour. How many kilometers per hour does the train travel?
|
<gadget id="calculator"> 2823 - 850 </gadget>
<output> 1_973 </output>
<gadget id="calculator"> 1_973 / 6 </gadget>
<output> 1_973/6 </output>
<result> 1_973/6 </result>
|
ape210k__00133718
|
The road repair team repaired (5/8) kilometers in the morning and (3/4) in the morning in the afternoon. How many kilometers were repaired in one day?
|
<gadget id="calculator">5 / 8</gadget>
<output>5/8 = around 0.625</output>
<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">(5/8) * (3/4)</gadget>
<output>15/32 = around 0.46875</output>
<gadget id="calculator">(5/8) + (15/32)</gadget>
<output>35/32 = around 1.09375</output>
<result>35/32 = around 1.09375</result>
|
35/32
|
ape210k
|
The road repair team repaired ( 35 / 79 ) kilometers in the morning and ( 98 / 80 ) in the morning in the afternoon. How many kilometers were repaired in one day?
|
<gadget id="calculator"> 35 / 79 </gadget>
<output> 35/79 </output>
<gadget id="calculator"> 98 / 80 </gadget>
<output> 49/40 </output>
<gadget id="calculator">( 35 / 79 ) * ( 98 / 80 )</gadget>
<output> 343/632 </output>
<gadget id="calculator">( 35 / 79 ) + ( 15 / 32 )</gadget>
<output> 2_305/2_528 </output>
<result> 2_305/2_528 </result>
|
ape210k__00195873
|
What is the sum of 508+235 greater than?
|
<result>700</result>
|
700
|
ape210k
|
What is the sum of 6433 + 107 greater than?
|
<result> 700 </result>
|
gsm8k__ToEkGzUzdX1IiH6N
|
Ian spent half the money he made on doing online surveys. If he worked 8 hours doing surveys and on average he's able to earn $18 per hour doing surveys, how much money does he have left?
|
Ian is able to earn $18 per hour doing surveys. If he worked 8 hours doing surveys, then he earned $18*8 = $
<gadget id="calculator">18*8</gadget>
<output>144</output>
144.
If he spent half of what he earned, then he spent $144 * 50% = $
<gadget id="calculator">144*50*.01</gadget>
<output>72</output>
72.
If Ian spent $72 of his earnings, then he has $144 - $72 = $
<gadget id="calculator">72</gadget>
<output>72</output>
72 left.
<result>72</result>
|
72
|
gsm8k
|
Ian spent half the money he made on doing online surveys. If he worked 48 hours doing surveys and on average he's able to earn $ 742 per hour doing surveys, how much money does he have left?
|
Ian is able to earn $ 742 per hour doing surveys. If he worked 48 hours doing surveys, then he earned $ 742 * 48 = $
<gadget id="calculator"> 742 * 48 </gadget>
<output> 35_616 </output> 35_616 .
If he spent half of what he earned, then he spent $ 35_616 * 50 % = $
<gadget id="calculator"> 35_616 * 50 *. 01 </gadget>
<output> 72 </output> 72 .
If Ian spent $ 72 of his earnings, then he has $ 35_616 - $ 72 = $
<gadget id="calculator"> 72 </gadget>
<output> 72 </output> 72 left.
<result> 72 </result>
|
ape210k__00857491
|
Uncle Li's family has a parallelogram-shaped vegetable field, 20 meters high, and the base is 2 meters higher than the height. If 30 vegetables are planted per square meter, how many can be planted in total?
|
<gadget id="calculator">20 + 2</gadget>
<output>22</output>
<gadget id="calculator">20 * 22 * 30</gadget>
<output>13_200</output>
<result>13_200</result>
|
13_200
|
ape210k
|
Uncle Li's family has a parallelogram-shaped vegetable field, 20 meters high, and the base is 2 meters higher than the height. If 30 vegetables are planted per square meter, how many can be planted in total?
|
<gadget id="calculator"> 20 + 2 </gadget>
<output> 22 </output>
<gadget id="calculator"> 20 * 22 * 30 </gadget>
<output> 13200 </output>
<result> 13200 </result>
|
ape210k__00632000
|
Plant trees around a playground with a perimeter of 480 meters, and plant one tree every 5 meters. How many trees should be planted in total?
|
<gadget id="calculator">480 / 5</gadget>
<output>96</output>
<result>96</result>
|
96
|
ape210k
|
Plant trees around a playground with a perimeter of 1280 meters, and plant one tree every 86 meters. How many trees should be planted in total?
|
<gadget id="calculator"> 1280 / 86 </gadget>
<output> 640/43 </output>
<result> 640/43 </result>
|
ape210k__00473863
|
Divide the number into 42 parts on average, and each part is 11.
|
<gadget id="calculator">42 * 11</gadget>
<output>462</output>
<result>462</result>
|
462
|
ape210k
|
Divide the number into 7 parts on average, and each part is 173 .
|
<gadget id="calculator"> 7 * 173 </gadget>
<output> 1_211 </output>
<result> 1_211 </result>
|
ape210k__00180494
|
The fuel on a plane can be used for up to 9 hours. When the plane goes with the wind, it can fly 1500 kilometers per hour. When it flies back against the wind, it can fly 1200 kilometers per hour. How many kilometers can the plane fly at most? Need to fly back?
|
<gadget id="calculator">1_500 * 4</gadget>
<output>6_000</output>
<result>6_000</result>
|
6_000
|
ape210k
|
The fuel on a plane can be used for up to 67 hours. When the plane goes with the wind, it can fly 2498 kilometers per hour. When it flies back against the wind, it can fly 14328 kilometers per hour. How many kilometers can the plane fly at most? Need to fly back?
|
<gadget id="calculator"> 2498 * 4 </gadget>
<output> 9_992 </output>
<result> 9_992 </result>
|
ape210k__00037553
|
A store buys a batch of shoes, each pair of which costs 6.5 yuan and sells for 7.4 yuan. When only 5 pairs are left, the profit is 44 yuan. Then how many pairs are there in this batch of shoes?
|
<gadget id="calculator">44 + 32.5</gadget>
<output>76.5</output>
<gadget id="calculator">76.5 / 0.9</gadget>
<output>85</output>
<gadget id="calculator">85 + 5</gadget>
<output>90</output>
<result>90</result>
|
90
|
ape210k
|
A store buys a batch of shoes, each pair of which costs 84.9 yuan and sells for 34.35 yuan. When only 1 pairs are left, the profit is 768 yuan. Then how many pairs are there in this batch of shoes?
|
<gadget id="calculator"> 768 + 32.5 </gadget>
<output> 800.5 </output>
<gadget id="calculator"> 800.5 / 0.9 </gadget>
<output> 889.444444 </output>
<gadget id="calculator"> 889.444444 + 1 </gadget>
<output> 890.444444 </output>
<result> 890.444444 </result>
|
gsm8k__U71EvPOz4U14dq4a
|
A Printing shop needs to ship 5000 brochures to an advertising company. Each box can only contain one-fifth of the brochures. How many boxes are needed to ship those brochures?
|
5000 x 1/5 =
<gadget id="calculator">5000*1/5</gadget>
<output>1_000</output>
1000 brochures can fit in one box.
Thus, 5000/1000 =
<gadget id="calculator">5000/1000</gadget>
<output>5</output>
5 boxes are needed.
<result>5</result>
|
5
|
gsm8k
|
A Printing shop needs to ship 48314 brochures to an advertising company. Each box can only contain one-fifth of the brochures. How many boxes are needed to ship those brochures?
|
48314 x 1 / 5 =
<gadget id="calculator"> 48314 * 1 / 5 </gadget>
<output> 48_314/5 </output> 48_314/5 brochures can fit in one box.
Thus, 48314 / 48_314/5 =
<gadget id="calculator"> 48314 / 48_314/5 </gadget>
<output> 1/5 </output> 1/5 boxes are needed.
<result> 1/5 </result>
|
gsm8k__bL6wIUUx5IOmaNUE
|
Joseph had socks of many different colors. His dresser drawer was filled to overflowing with red, blue, black, and white socks. Uncertain of how many pairs he had of each color, he began to sort his socks. He discovered that he had three more pairs of blue socks than he had pairs of black socks. He had one less pair of red socks than he had pairs of white socks. He had twice as many blue socks as he had of red socks. And he counted a total of 6 red socks. What is the total number of Joseph's socks?
|
Starting with 6 red socks, twice the number of blue socks as red meant Joseph had 2*6=12 blue socks.
With one less pair of red socks than white socks, this meant 2 fewer red socks than white, for a total of 6-2=
<gadget id="calculator">6-2</gadget>
<output>4</output>
4 white socks.
Also, 12 blue socks=6 pairs of blue socks.
With three more pairs of blue socks than pairs of black socks, this means he had 6-3=
<gadget id="calculator">6-3</gadget>
<output>3</output>
3 pairs of black socks.
And three pairs of black socks corresponds to 3*2=
<gadget id="calculator">3*2</gadget>
<output>6</output>
6 black socks.
Thus, in total, he had 6+12+4+6=
<gadget id="calculator">6+12+4+6</gadget>
<output>28</output>
28 socks.
<result>28</result>
|
28
|
gsm8k
|
Joseph had socks of many different colors. His dresser drawer was filled to overflowing with red, blue, black, and white socks. Uncertain of how many pairs he had of each color, he began to sort his socks. He discovered that he had three more pairs of blue socks than he had pairs of black socks. He had one less pair of red socks than he had pairs of white socks. He had twice as many blue socks as he had of red socks. And he counted a total of 66 red socks. What is the total number of Joseph's socks?
|
Starting with 66 red socks, twice the number of blue socks as red meant Joseph had 2 * 66 = 12 blue socks.
With one less pair of red socks than white socks, this meant 2 fewer red socks than white, for a total of 66 - 2 =
<gadget id="calculator"> 66 - 2 </gadget>
<output> 64 </output> 64 white socks.
Also, 12 blue socks= 66 pairs of blue socks.
With three more pairs of blue socks than pairs of black socks, this means he had 66 - 63 =
<gadget id="calculator"> 66 - 63 </gadget>
<output> 63 </output> 63 pairs of black socks.
And three pairs of black socks corresponds to 63 * 2 =
<gadget id="calculator"> 63 * 2 </gadget>
<output> 126 </output> 126 black socks.
Thus, in total, he had 126 + 12 + 64 + 126 =
<gadget id="calculator"> 126 + 12 + 64 + 126 </gadget>
<output> 328 </output> 328 socks.
<result> 328 </result>
|
ape210k__00044310
|
The garment factory plans to produce 1,640 sets of garments. It has been produced for 18 days, and there are 200 sets left to be produced. How many sets of garments are produced on average per day?
|
<gadget id="calculator">1_640 - 200</gadget>
<output>1_440</output>
<gadget id="calculator">1_440 / 18</gadget>
<output>80</output>
<result>80</result>
|
80
|
ape210k
|
The garment factory plans to produce 5 , 8882 sets of garments. It has been produced for 817 days, and there are 1258 sets left to be produced. How many sets of garments are produced on average per day?
|
<gadget id="calculator"> 1640 - 1258 </gadget>
<output> 382 </output>
<gadget id="calculator"> 382 / 817 </gadget>
<output> 382/817 </output>
<result> 382/817 </result>
|
math_qa__IQ0BqXoUgiJOe5xG
|
Find the area of a cuboid of length 10cm , breadth 8 cm . and height 6cm. Choose the correct choice:
A) 400 cm cube
B) 410 cm cube
C) 420 cm cube
D) 430 cm cube
E) 480 cm cube
|
<gadget id="calculator">10 * 8</gadget>
<output>80</output>
<gadget id="calculator">80 * 6</gadget>
<output>480</output>
<result>E</result>
|
E
|
math_qa
|
Find the area of a cuboid of length 9 cm , breadth 20 cm . and height 2 cm. Choose the correct choice:
A) 176 cm cube
B) 8455 cm cube
C) 6432 cm cube
D) 4537 cm cube
E) 360
|
<gadget id="calculator"> 9 * 20 </gadget>
<output> 180 </output>
<gadget id="calculator"> 180 * 2 </gadget>
<output> 360 </output>
<result>E</result>
|
ape210k__00165582
|
The outer diameter of a car tire is 2 meters. If it rotates 5 times per second on average, how many seconds does it take to pass a 942-meter-long bridge?
|
<gadget id="calculator">3.14 * 2 * 5</gadget>
<output>31.4</output>
<gadget id="calculator">942 / 31.4</gadget>
<output>30</output>
<result>30</result>
|
30
|
ape210k
|
The outer diameter of a car tire is 82 meters. If it rotates 32 times per second on average, how many seconds does it take to pass a 4737 -meter-long bridge?
|
<gadget id="calculator"> 3.14 * 82 * 32 </gadget>
<output> 8239.36 </output>
<gadget id="calculator"> 4737 / 8239.36 </gadget>
<output> 0.574923 </output>
<result> 0.574923 </result>
|
ape210k__00601004
|
(3/4):x=(1/10):3.
|
<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">(3/4) * 3</gadget>
<output>9/4 = around 2.25</output>
<gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">(9/4) / (1/10)</gadget>
<output>45/2 = around 22.5</output>
<result>45/2 = around 22.5</result>
|
45/2
|
ape210k
|
( 94 / 57 ):x=( 97 / 717 ): 94 .
|
<gadget id="calculator"> 94 / 57 </gadget>
<output> 94/57 </output>
<gadget id="calculator">( 94 / 57 ) * 94 </gadget>
<output> 8_836/57 </output>
<gadget id="calculator"> 97 / 717 </gadget>
<output> 97/717 </output>
<gadget id="calculator">( 9 / 57 ) / ( 97 / 717 )</gadget>
<output> 2_151/1_843 </output>
<result> 2_151/1_843 </result>
|
ape210k__00060818
|
Plant trees on both sides of a 100-meter-long road, and plant one tree every 10 meters. How many trees should be planted in total?
|
<gadget id="calculator">100 / 10</gadget>
<output>10</output>
<gadget id="calculator">10 + 1</gadget>
<output>11</output>
<gadget id="calculator">11 * 2</gadget>
<output>22</output>
<result>22</result>
|
22
|
ape210k
|
Plant trees on both sides of a 7367 -meter-long road, and plant one tree every 735 meters. How many trees should be planted in total?
|
<gadget id="calculator"> 7367 / 7_367/735 </gadget>
<output> 7_367/735 </output>
<gadget id="calculator"> 7_367/735 + 1 </gadget>
<output> 8_102/735 </output>
<gadget id="calculator"> 8_102/735 * 2 </gadget>
<output> 16_204/735 </output>
<result> 16_204/735 </result>
|
ape210k__01070289
|
There are several workers in a workshop, divided into two groups: day shift and night shift. Among them, the number of people in the day shift group accounts for 45%. If 3 workers are transferred from the day shift group to the night shift group, the ratio of the number of people in the day shift group to the night shift group is 2:3. How many people are there in this workshop?
|
<result>60</result>
|
60
|
ape210k
|
There are several workers in a workshop, divided into two groups: day shift and night shift. Among them, the number of people in the day shift group accounts for 68 %. If 32 workers are transferred from the day shift group to the night shift group, the ratio of the number of people in the day shift group to the night shift group is 25 : 32 . How many people are there in this workshop?
|
<result> 60 </result>
|
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