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stringlengths 18
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|---|---|---|---|---|---|---|
gsm8k__kCVIgkLpVcpmGLIN
|
Doris earns $20 per hour by babysitting. She needs to earn at least $1200 for her monthly expenses. She can babysit for 3 hours every weekday and 5 hours on a Saturday. How many weeks does it take for Doris to earn enough to cover her monthly expenses?
|
Doris babysits for a total of 5 weekdays x 3 hours/weekday =
<gadget id="calculator">5*3</gadget>
<output>15</output>
15 hours.
She babysits for a total of 15 + 5 =
<gadget id="calculator">15+5</gadget>
<output>20</output>
20 hours in a week.
She earns 24 x $20 = $
<gadget id="calculator">24*20</gadget>
<output>480</output>
480 in a week.
So, it will take $1440/$480 =
<gadget id="calculator">1440/480</gadget>
<output>3</output>
3 weeks to earn Doris needed amount.
<result>3</result>
|
3
|
gsm8k
|
Doris earns $ 481 per hour by babysitting. She needs to earn at least $ 77914 for her monthly expenses. She can babysit for 48 hours every weekday and 95 hours on a Saturday. How many weeks does it take for Doris to earn enough to cover her monthly expenses?
|
Doris babysits for a total of 95 weekdays x 48 hours/weekday =
<gadget id="calculator"> 95 * 48 </gadget>
<output> 4_560 </output> 4_560 hours.
She babysits for a total of 4_560 + 95 =
<gadget id="calculator"> 4_560 + 95 </gadget>
<output> 4_655 </output> 4_655 hours in a week.
She earns 24 x $ 4_655 = $
<gadget id="calculator"> 24 * 4_655 </gadget>
<output> 111_720 </output> 111_720 in a week.
So, it will take $ 1440 /$ 111_720 =
<gadget id="calculator"> 1440 / 111_720 </gadget>
<output> 12/931 </output> 12/931 weeks to earn Doris needed amount.
<result> 12/931 </result>
|
ape210k__00485808
|
There are 120 pear trees in the orchard, and the number of peach trees is 4/5 that of pear trees. How many peach trees are there in the orchard?
|
<gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">120 * (4/5)</gadget>
<output>96</output>
<result>96</result>
|
96
|
ape210k
|
There are 7702 pear trees in the orchard, and the number of peach trees is 31 / 45 that of pear trees. How many peach trees are there in the orchard?
|
<gadget id="calculator"> 31 / 45 </gadget>
<output> 31/45 </output>
<gadget id="calculator"> 7702 * ( 31 / 45 )</gadget>
<output> 238_762/45 </output>
<result> 238_762/45 </result>
|
ape210k__00534309
|
The cafeteria transports (2/3) tons of coal, uses (1/4) tons, and then uses the remaining (1/3), how many tons are used?
|
<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">(2/3) - (1/4)</gadget>
<output>5/12 = around 0.416667</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(5/12) * (1/3)</gadget>
<output>5/36 = around 0.138889</output>
<result>5/36 = around 0.138889</result>
|
5/36
|
ape210k
|
The cafeteria transports ( 95 / 64 ) tons of coal, uses ( 41 / 69 ) tons, and then uses the remaining ( 41 / 64 ), how many tons are used?
|
<gadget id="calculator"> 95 / 64 </gadget>
<output> 95/64 </output>
<gadget id="calculator"> 41 / 69 </gadget>
<output> 41/69 </output>
<gadget id="calculator">( 95 / 64 ) - ( 41 / 69 )</gadget>
<output> 3_931/4_416 </output>
<gadget id="calculator"> 41 / 64 </gadget>
<output> 41/64 </output>
<gadget id="calculator">( 5 / 12 ) * ( 41 / 64 )</gadget>
<output> 205/768 </output>
<result> 205/768 </result>
|
ape210k__00367048
|
project A worked alone for 1 day, and cooperated with B for 2 days to complete (4/7) of the whole project. The working efficiency ratio of A and B is 2:3. How many days will it take if this project is done by B alone?
|
<gadget id="calculator">4 / 7</gadget>
<output>4/7 = around 0.571429</output>
<gadget id="calculator">1 + 2</gadget>
<output>3</output>
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">3 * (2/3)</gadget>
<output>2</output>
<gadget id="calculator">2 + 2</gadget>
<output>4</output>
<gadget id="calculator">(4/7) / 4</gadget>
<output>1/7 = around 0.142857</output>
<gadget id="calculator">1 / (1/7)</gadget>
<output>7</output>
<result>7</result>
|
7
|
ape210k
|
project A worked alone for 55 day, and cooperated with B for 43 days to complete ( 81 / 43 ) of the whole project. The working efficiency ratio of A and B is 43 : 64 . How many days will it take if this project is done by B alone?
|
<gadget id="calculator"> 81 / 43 </gadget>
<output> 81/43 </output>
<gadget id="calculator"> 55 + 43 </gadget>
<output> 98 </output>
<gadget id="calculator"> 43 / 98 </gadget>
<output> 43/98 </output>
<gadget id="calculator"> 98 * ( 43 / 98 )</gadget>
<output> 43 </output>
<gadget id="calculator"> 43 + 43 </gadget>
<output> 86 </output>
<gadget id="calculator">( 86 / 43 ) / 86 </gadget>
<output> 1/43 </output>
<gadget id="calculator"> 55 / ( 55 / 43 )</gadget>
<output> 43 </output>
<result> 43 </result>
|
ape210k__00171895
|
Xiaohong, Xiaoming, Xiaobing and Xiaohua each have to do 8 questions. How many questions did they solve in total?
|
<gadget id="calculator">8 * 4</gadget>
<output>32</output>
<result>32</result>
|
32
|
ape210k
|
Xiaohong, Xiaoming, Xiaobing and Xiaohua each have to do 67 questions. How many questions did they solve in total?
|
<gadget id="calculator"> 67 * 4 </gadget>
<output> 268 </output>
<result> 268 </result>
|
gsm8k__6GlLr9a0z4IylyGN
|
Barbara Blackburn can type 212 words per minute. Due to Carpal tunnel syndrome, Barbara cannot use her left hand for a while so her typing speed is now 40 words less per minute. If she is supposed to type a document with 3440 words, how many minutes will it take her to finish typing the document?
|
Due to carpal tunnel syndrome, Barbara can only type 212 - 40=
<gadget id="calculator">212-40</gadget>
<output>172</output>
172 words per minute.
So, she will be able to finish typing the document in 3440/172 =
<gadget id="calculator">3440/172</gadget>
<output>20</output>
20 minutes.
<result>20</result>
|
20
|
gsm8k
|
Barbara Blackburn can type 8082 words per minute. Due to Carpal tunnel syndrome, Barbara cannot use her left hand for a while so her typing speed is now 595 words less per minute. If she is supposed to type a document with 85417 words, how many minutes will it take her to finish typing the document?
|
Due to carpal tunnel syndrome, Barbara can only type 8082 - 595 =
<gadget id="calculator"> 8082 - 595 </gadget>
<output> 7_487 </output> 7_487 words per minute.
So, she will be able to finish typing the document in 85417 / 7_487 =
<gadget id="calculator"> 85417 / 7_487 </gadget>
<output> 85_417/7_487 </output> 85_417/7_487 minutes.
<result> 85_417/7_487 </result>
|
ape210k__00041102
|
Xiaoli read a story book for 12 days. On average, I read 50 pages a day, and there are 175 pages left. How many pages are there in this book?
|
<gadget id="calculator">12 * 50</gadget>
<output>600</output>
<gadget id="calculator">600 + 175</gadget>
<output>775</output>
<result>775</result>
|
775
|
ape210k
|
Xiaoli read a story book for 199 days. On average, I read 329 pages a day, and there are 1043 pages left. How many pages are there in this book?
|
<gadget id="calculator"> 199 * 329 </gadget>
<output> 65_471 </output>
<gadget id="calculator"> 65_471 + 1043 </gadget>
<output> 66_514 </output>
<result> 66_514 </result>
|
ape210k__00233222
|
Using the six numbers 0, 1, 2, 3, 4, 5, how many three-digit numbers can be formed without repeating numbers.
|
<gadget id="calculator">5 * 5 * 4</gadget>
<output>100</output>
<result>100</result>
|
100
|
ape210k
|
Using the six numbers 91 , 17 , 7 , 2 , 86 , 36 , how many three-digit numbers can be formed without repeating numbers.
|
<gadget id="calculator"> 36 * 36 * 86 </gadget>
<output> 111_456 </output>
<result> 111_456 </result>
|
ape210k__00575823
|
Mix 10 grams of sugar and 90 grams of water to make sugar water. What is the sugar content of this sugar water?
|
<gadget id="calculator">10 + 90</gadget>
<output>100</output>
<gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">(1/10) * 1</gadget>
<output>1/10 = around 0.1</output>
<result>1/10 = around 0.1</result>
|
1/10
|
ape210k
|
Mix 621 grams of sugar and 384 grams of water to make sugar water. What is the sugar content of this sugar water?
|
<gadget id="calculator"> 621 + 384 </gadget>
<output> 1_005 </output>
<gadget id="calculator"> 621 / 1_005 </gadget>
<output> 207/335 </output>
<gadget id="calculator"> 1_005 / 1_005 </gadget>
<output> 1 </output>
<gadget id="calculator">( 1 / 621 ) * 1 </gadget>
<output> 1/621 </output>
<result> 1/621 </result>
|
ape210k__00775575
|
cylinder and a cone have the same height, the volume ratio of the cylinder to the cone is 6:1, and the base area of the cone is 12.56 square centimeters. What is the area of the base of the cylinder in square centimeters?
|
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">6 * (1/3) * 12.56</gadget>
<output>25.12</output>
<result>25.12</result>
|
25.12
|
ape210k
|
cylinder and a cone have the same height, the volume ratio of the cylinder to the cone is 97 : 9 , and the base area of the cone is 441.94 square centimeters. What is the area of the base of the cylinder in square centimeters?
|
<gadget id="calculator"> 9 / 3 </gadget>
<output> 3 </output>
<gadget id="calculator"> 97 * ( 9 / 3 ) * 441.94 </gadget>
<output> 128604.54 </output>
<result> 128604.54 </result>
|
math_qa__tl92PfCcvoEmVLaJ
|
A bullet train 200 m long is running with a speed of 69 kmph. In what time will it pass a man who is running at 3 kmph in the direction opposite to that in which the bullet train is going? Choose the correct choice from the following answers: A) 10 sec B) 15 sec C) 12 sec D) 11 sec E) 16 sec
|
<gadget id="calculator">69 + 3</gadget>
<output>72</output>
<gadget id="calculator">72 * 1_000</gadget>
<output>72_000</output>
<gadget id="calculator">72_000 / 3_600</gadget>
<output>20</output>
<gadget id="calculator">200 / 20</gadget>
<output>10</output>
<result>A</result>
|
A
|
math_qa
|
A 1_594/195 B) 159 sec C) 201 sec D) 542 sec E) 763 sec
|
<gadget id="calculator"> 23 + 29 </gadget>
<output> 52 </output>
<gadget id="calculator"> 52 * 1000 </gadget>
<output> 52_000 </output>
<gadget id="calculator"> 52_000 / 3600 </gadget>
<output> 130/9 </output>
<gadget id="calculator"> 9564 / 130/9 </gadget>
<output> 1_594/195 </output>
<result>A</result>
|
ape210k__00533508
|
The price of chocolate candy is 30 yuan per kilogram. First increase the price by 10% and then reduce the price by 10%. What is the current price of chocolate candy?
|
<gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 + (1/10)</gadget>
<output>11/10 = around 1.1</output>
<gadget id="calculator">1 - (1/10)</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">30 * (11/10) * (9/10)</gadget>
<output>297/10 = around 29.7</output>
<result>297/10 = around 29.7</result>
|
297/10
|
ape210k
|
The price of chocolate candy is 999 yuan per kilogram. First increase the price by 299 % and then reduce the price by 299 %. What is the current price of chocolate candy?
|
<gadget id="calculator"> 299 / 100 </gadget>
<output> 299/100 </output>
<gadget id="calculator"> 1 + ( 1 / 299 )</gadget>
<output> 300/299 </output>
<gadget id="calculator"> 1 - ( 1 / 299 )</gadget>
<output> 298/299 </output>
<gadget id="calculator"> 999 * ( 11 / 299 ) * ( 9 / 299 )</gadget>
<output> 98_901/89_401 </output>
<result> 98_901/89_401 </result>
|
ape210k__00073070
|
There are two pools, A and B. Originally, the volume of water in pool B is less than that of pool A (1/6). Now, after injecting (1/5) of the water in pool A into pool B, C draws 21 cubic meters of water from pool B. At this time, the amount of water in the two pools is exactly the same. How many cubic meters of water was originally in the second pool?
|
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">1 - (1/6)</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(5/6) + (1/5)</gadget>
<output>31/30 = around 1.033333</output>
<gadget id="calculator">1 - (1/5)</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">(31/30) - (4/5)</gadget>
<output>7/30 = around 0.233333</output>
<gadget id="calculator">21 / (7/30)</gadget>
<output>90</output>
<gadget id="calculator">90 * (5/6)</gadget>
<output>75</output>
<result>75</result>
|
75
|
ape210k
|
There are two pools, A and B. Originally, the volume of water in pool B is less than that of pool A ( 31 / 25 ). Now, after injecting ( 31 / 53 ) of the water in pool A into pool B, C draws 584 cubic meters of water from pool B. At this time, the amount of water in the two pools is exactly the same. How many cubic meters of water was originally in the second pool?
|
<gadget id="calculator"> 31 / 25 </gadget>
<output> 31/25 </output>
<gadget id="calculator"> 31 - ( 31 / 25 )</gadget>
<output> 744/25 </output>
<gadget id="calculator"> 31 / 53 </gadget>
<output> 31/53 </output>
<gadget id="calculator">( 53 / 25 ) + ( 31 / 53 )</gadget>
<output> 3_584/1_325 </output>
<gadget id="calculator"> 31 - ( 31 / 53 )</gadget>
<output> 1_612/53 </output>
<gadget id="calculator">( 31 / 30 ) - ( 4 / 53 )</gadget>
<output> 1_523/1_590 </output>
<gadget id="calculator"> 584 / ( 7 / 30 )</gadget>
<output> 17_520/7 </output>
<gadget id="calculator"> 17_520/7 * ( 53 / 25 )</gadget>
<output> 185_712/35 </output>
<result> 185_712/35 </result>
|
ape210k__00934221
|
A certain construction site bought a batch of cement and shipped it out in three days. On the first day (3/10) of the total amount was shipped, on the second day (4/15) of the total amount was shipped, and on the third day more than 40 bags were shipped on the first day. How many bags of this batch of cement are there?
|
<gadget id="calculator">3 / 10</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">4 / 15</gadget>
<output>4/15 = around 0.266667</output>
<gadget id="calculator">1 - (3/10) - (4/15) - (3/10)</gadget>
<output>2/15 = around 0.133333</output>
<gadget id="calculator">40 / (2/15)</gadget>
<output>300</output>
<result>300</result>
|
300
|
ape210k
|
A certain construction site bought a batch of cement and shipped it out in three days. On the first day ( 100 / 519 ) of the total amount was shipped, on the second day ( 94 / 281 ) of the total amount was shipped, and on the third day more than 517 bags were shipped on the first day. How many bags of this batch of cement are there?
|
<gadget id="calculator"> 100 / 519 </gadget>
<output> 100/519 </output>
<gadget id="calculator"> 94 / 281 </gadget>
<output> 94/281 </output>
<gadget id="calculator"> 1 - ( 100 / 519 ) - ( 94 / 281 ) - ( 100 / 519 )</gadget>
<output> 40_853/145_839 </output>
<gadget id="calculator"> 517 / ( 2 / 281 )</gadget>
<output> 145_277/2 </output>
<result> 145_277/2 </result>
|
ape210k__00337779
|
The natural number n is a common multiple of 1, 2, 3, ..., 10, and it has exactly 72 divisors. What is the minimum value of n?
|
<gadget id="calculator">5 * 7 * 8 * 9</gadget>
<output>2_520</output>
<gadget id="calculator">2_520 * 4</gadget>
<output>10_080</output>
<result>10_080</result>
|
10_080
|
ape210k
|
The natural number n is a common multiple of 94 , 26 , 65 , ..., 870 , and it has exactly 911 divisors. What is the minimum value of n?
|
<gadget id="calculator"> 5 * 7 * 8 * 9 </gadget>
<output> 2_520 </output>
<gadget id="calculator"> 2_520 * 4 </gadget>
<output> 10_080 </output>
<result> 10_080 </result>
|
ape210k__00675253
|
There are 802 chickens in the farm, which is 2 more than the number of ducks (5/4). How many chickens and ducks are there in the farm?
|
<gadget id="calculator">802 - 2</gadget>
<output>800</output>
<gadget id="calculator">5 / 4</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calculator">800 / (5/4)</gadget>
<output>640</output>
<gadget id="calculator">640 + 802</gadget>
<output>1_442</output>
<result>1_442</result>
|
1_442
|
ape210k
|
There are 6325 chickens in the farm, which is 61 more than the number of ducks ( 26 / 38 ). How many chickens and ducks are there in the farm?
|
<gadget id="calculator"> 6325 - 61 </gadget>
<output> 6_264 </output>
<gadget id="calculator"> 26 / 38 </gadget>
<output> 13/19 </output>
<gadget id="calculator"> 6_264 / ( 26 / 38 )</gadget>
<output> 119_016/13 </output>
<gadget id="calculator"> 119_016/13 + 6325 </gadget>
<output> 201_241/13 </output>
<result> 201_241/13 </result>
|
ape210k__00567945
|
If the height of the cone remains the same, the radius of the base is reduced to the original (1/5), and its volume is reduced to the original value.
|
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/5) ** 2</gadget>
<output>1/25 = around 0.04</output>
<result>1/25 = around 0.04</result>
|
1/25
|
ape210k
|
If the height of the cone remains the same, the radius of the base is reduced to the original ( 1 / 1 ), and its volume is reduced to the original value.
|
<gadget id="calculator"> 1 / 1 </gadget>
<output> 1 </output>
<gadget id="calculator">( 1 / 1 ) ** 2 </gadget>
<output> 1 / 25 = around 0.04 </output>
<result> 1 / 25 = around 0.04 </result>
|
gsm8k__TiscKnUuZRiunMHq
|
There are 6 girls and 8 boys in the school play. If both parents of each kid attend the premiere, how many parents will be in the auditorium?
|
There are 6 + 8 =
<gadget id="calculator">6+8</gadget>
<output>14</output>
14 kids in the school play.
Each child has 2 parents attending the play and therefore there are 14 x 2 =
<gadget id="calculator">2*14</gadget>
<output>28</output>
28 parents in the auditorium.
<result>28</result>
|
28
|
gsm8k
|
There are 72 girls and 50 boys in the school play. If both parents of each kid attend the premiere, how many parents will be in the auditorium?
|
There are 72 + 50 =
<gadget id="calculator"> 72 + 50 </gadget>
<output> 122 </output> 122 kids in the school play.
Each child has 2 parents attending the play and therefore there are 122 x 2 =
<gadget id="calculator"> 2 * 122 </gadget>
<output> 244 </output> 244 parents in the auditorium.
<result> 244 </result>
|
math_qa__kNjSCxhsFl6ZXOxq
|
The length of the bridge, which a train 140 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
Select the correct option
A) 328 B) 279 C) 235 D) 288 E) 211
|
<gadget id="calculator">1_000 / 1</gadget>
<output>1_000</output>
<gadget id="calculator">45 * 1_000</gadget>
<output>45_000</output>
<gadget id="calculator">3_600 / 1</gadget>
<output>3_600</output>
<gadget id="calculator">45_000 / 3_600</gadget>
<output>25/2 = around 12.5</output>
<gadget id="calculator">(25/2) * 30</gadget>
<output>375</output>
<gadget id="calculator">375 - 140</gadget>
<output>235</output>
<result>C</result>
|
C
|
math_qa
|
The length of the bridge, which a train 2879 meters long and travelling at 47 km/hr can cross in 846 seconds, is?
Select the correct option
A) 3552 B) 9731 C) 7_696 D) 8107 E) 5757
|
<gadget id="calculator"> 1_000 / 1 </gadget>
<output> 1_000 </output>
<gadget id="calculator"> 47 * 1_000 </gadget>
<output> 47_000 </output>
<gadget id="calculator"> 3_600 / 1 </gadget>
<output> 3_600 </output>
<gadget id="calculator"> 47_000 / 3_600 </gadget>
<output> 235/18 </output>
<gadget id="calculator">( 25 / 2 ) * 846 </gadget>
<output> 10_575 </output>
<gadget id="calculator"> 10_575 - 2879 </gadget>
<output> 7_696 </output>
<result>C</result>
|
ape210k__00389440
|
In a division formula, the quotient and remainder are both 3, and the divisor is exactly 3 times the remainder. What is the dividend.
|
<gadget id="calculator">3 * 3</gadget>
<output>9</output>
<gadget id="calculator">3 * 9</gadget>
<output>27</output>
<gadget id="calculator">27 + 3</gadget>
<output>30</output>
<result>30</result>
|
30
|
ape210k
|
In a division formula, the quotient and remainder are both 27 , and the divisor is exactly 27 times the remainder. What is the dividend.
|
<gadget id="calculator"> 27 * 27 </gadget>
<output> 729 </output>
<gadget id="calculator"> 19_683 * 729 </gadget>
<output> 19_683 </output>
<gadget id="calculator"> 19_683 + 19_683 </gadget>
<output> 39_366 </output>
<result> 39_366 </result>
|
ape210k__01049407
|
The school wants to buy a batch of desks and chairs. You can buy 30 desks and 60 chairs. How many sets can you buy if you buy a set?
|
<gadget id="calculator">1 / 30</gadget>
<output>1/30 = around 0.033333</output>
<gadget id="calculator">1 / 60</gadget>
<output>1/60 = around 0.016667</output>
<gadget id="calculator">(1/30) + (1/60)</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">1 / (1/20)</gadget>
<output>20</output>
<result>20</result>
|
20
|
ape210k
|
The school wants to buy a batch of desks and chairs. You can buy 548 desks and 609 chairs. How many sets can you buy if you buy a set?
|
<gadget id="calculator"> 1 / 548 </gadget>
<output> 1/548 </output>
<gadget id="calculator"> 1 / 609 </gadget>
<output> 1/609 </output>
<gadget id="calculator">( 1 / 548 ) + ( 1 / 609 )</gadget>
<output> 1_157/333_732 </output>
<gadget id="calculator"> 1 / ( 1 / 20 )</gadget>
<output> 20 </output>
<result> 20 </result>
|
ape210k__00223215
|
A strip of paper is 48 cm long. Dots are drawn at intervals of 3 cm from the left, and then dots at intervals of 4 cm from the left. Both ends of the strip are not dotted. How many dots are there on the strip?
|
<gadget id="calculator">48 / 3</gadget>
<output>16</output>
<gadget id="calculator">16 - 1</gadget>
<output>15</output>
<gadget id="calculator">48 / 4</gadget>
<output>12</output>
<gadget id="calculator">12 - 1</gadget>
<output>11</output>
<gadget id="calculator">11 - 3</gadget>
<output>8</output>
<gadget id="calculator">15 + 8</gadget>
<output>23</output>
<result>23</result>
|
23
|
ape210k
|
A strip of paper is 884 cm long. Dots are drawn at intervals of 6 cm from the left, and then dots at intervals of 3 cm from the left. Both ends of the strip are not dotted. How many dots are there on the strip?
|
<gadget id="calculator"> 884 / 6 </gadget>
<output> 442/3 </output>
<gadget id="calculator"> 442/3 - 1 </gadget>
<output> 439/3 </output>
<gadget id="calculator"> 884 / 3 </gadget>
<output> 884/3 </output>
<gadget id="calculator"> 884/3 - 1 </gadget>
<output> 881/3 </output>
<gadget id="calculator"> 881/3 - 6 </gadget>
<output> 863/3 </output>
<gadget id="calculator"> 439/3 + 863/3 </gadget>
<output> 434 </output>
<result> 434 </result>
|
ape210k__00861093
|
If the side of a cylinder is a square, and the height of the cylinder is 6.28 meters, what is its volume in cubic meters?
|
<gadget id="calculator">6.28 / 2 / 3.14</gadget>
<output>1</output>
<gadget id="calculator">1 ** 2</gadget>
<output>1</output>
<gadget id="calculator">3.14 * 1 * 6.28</gadget>
<output>19.7192</output>
<result>19.7192</result>
|
19.7192
|
ape210k
|
If the side of a cylinder is a square, and the height of the cylinder is 1.69 meters, what is its volume in cubic meters?
|
<gadget id="calculator"> 1.69 / 2 / 3.14 </gadget>
<output> 0.269108 </output>
<gadget id="calculator"> 0.072419 ** 2 </gadget>
<output> 0.072419 </output>
<gadget id="calculator"> 3.14 * 0.072419 * 1.69 </gadget>
<output> 0.384299 </output>
<result> 0.384299 </result>
|
ape210k__00286138
|
Xiaoming uses a cylindrical glass vessel with a base radius of 6 cm and a height of 15 cm to fill part of the water. A conical plumb weight with a height of 9 cm is immersed in the water. When the plumb weight is taken out of the water, the water level drops by 0.5 cm. How many square centimeters is the base of the hammer?
|
<gadget id="calculator">6 ** 2</gadget>
<output>36</output>
<gadget id="calculator">3.14 * 36 * 0.5</gadget>
<output>56.52</output>
<gadget id="calculator">3 / 9</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">56.52 * (1/3)</gadget>
<output>18.84</output>
<result>18.84</result>
|
18.84
|
ape210k
|
Xiaoming uses a cylindrical glass vessel with a base radius of 1 cm and a height of 8 cm to fill part of the water. A conical plumb weight with a height of 1 cm is immersed in the water. When the plumb weight is taken out of the water, the water level drops by 1.72 cm. How many square centimeters is the base of the hammer?
|
<gadget id="calculator"> 1 ** 2 </gadget>
<output> 1 </output>
<gadget id="calculator"> 3.14 * 1 * 1.72 </gadget>
<output> 5.4008 </output>
<gadget id="calculator"> 3 / 1 </gadget>
<output> 3 </output>
<gadget id="calculator"> 5.4008 * ( 1 / 3 )</gadget>
<output> 1.800267 </output>
<result> 1.800267 </result>
|
ape210k__00179150
|
Xiaohua has a total score of 182 in Chinese and mathematics, and 85 in science. What is her average score?
|
<gadget id="calculator">182 + 85</gadget>
<output>267</output>
<gadget id="calculator">267 / 3</gadget>
<output>89</output>
<result>89</result>
|
89
|
ape210k
|
Xiaohua has a total score of 7628 in Chinese and mathematics, and 264 in science. What is her average score?
|
<gadget id="calculator"> 7628 + 264 </gadget>
<output> 7_892 </output>
<gadget id="calculator"> 7_892 / 3 </gadget>
<output> 7_892/3 </output>
<result> 7_892/3 </result>
|
ape210k__00794481
|
There is a standard of pencils, 72 yuan per box, 8 pieces per box, one can be given as a gift when buying a box, Lingling buys 9 pencils like this, how much is each pencil on average?
|
<gadget id="calculator">8 + 1</gadget>
<output>9</output>
<gadget id="calculator">72 / 9</gadget>
<output>8</output>
<result>8</result>
|
8
|
ape210k
|
There is a standard of pencils, 353 yuan per box, 53 pieces per box, one can be given as a gift when buying a box, Lingling buys 97 pencils like this, how much is each pencil on average?
|
<gadget id="calculator"> 53 + 1 </gadget>
<output> 54 </output>
<gadget id="calculator"> 353 / 54 </gadget>
<output> 353/54 </output>
<result> 353/54 </result>
|
ape210k__00211887
|
The lateral expansion figure of a cylinder is a square, the base radius of the cylinder is known to be 25 centimeters, and what is its height in centimeters.
|
<gadget id="calculator">2 * 3.14 * 25</gadget>
<output>157</output>
<result>157</result>
|
157
|
ape210k
|
The lateral expansion figure of a cylinder is a square, the base radius of the cylinder is known to be 244 centimeters, and what is its height in centimeters.
|
<gadget id="calculator"> 2 * 3.14 * 244 </gadget>
<output> 1532.32 </output>
<result> 1532.32 </result>
|
ape210k__00154222
|
A cuboid oil drum is 4 decimeters long, 3 decimeters wide, and 5 decimeters high. What is its volume in liters.
|
<gadget id="calculator">4 * 3 * 5</gadget>
<output>60</output>
<result>60</result>
|
60
|
ape210k
|
A cuboid oil drum is 60 decimeters long, 18 decimeters wide, and 6 decimeters high. What is its volume in liters.
|
<gadget id="calculator"> 6_480 * 18 * 6 </gadget>
<output> 6_480 </output>
<result> 6_480 </result>
|
ape210k__01081831
|
The students competed in the high jump, Zhang Ying jumped 1.1 meters, Li Qiang jumped 0.15 meters higher than Zhang Ying, Xiao Hong jumped 0.09 meters lower than Li Qiang, how many meters did Xiao Hong jump high?
|
<gadget id="calculator">0.15 - 0.09</gadget>
<output>0.06</output>
<gadget id="calculator">1.1 + 0.06</gadget>
<output>1.16</output>
<result>1.16</result>
|
1.16
|
ape210k
|
The students competed in the high jump, Zhang Ying jumped 80.38 meters, Li Qiang jumped 34.02 meters higher than Zhang Ying, Xiao Hong jumped 17.56 meters lower than Li Qiang, how many meters did Xiao Hong jump high?
|
<gadget id="calculator"> 34.02 - 17.56 </gadget>
<output> 16.46 </output>
<gadget id="calculator"> 80.38 + 16.46 </gadget>
<output> 96.84 </output>
<result> 96.84 </result>
|
ape210k__00615176
|
((4.5)/6)=9:12=(3/4)=6/8=(0.75) (fill in decimals)=how much.
|
<gadget id="calculator">4.5 / 6</gadget>
<output>0.75</output>
<result>0.75</result>
|
0.75
|
ape210k
|
(( 46.44 )/ 88 )= 7 : 690 =( 53 / 80 )= 88 / 52 =( 78.84 ) (fill in decimals)=how much.
|
<gadget id="calculator"> 46.44 / 88 </gadget>
<output> 0.527727 </output>
<result> 0.527727 </result>
|
gsm8k__cUonsvzEN9G6Gdbk
|
John and Sam were hungry so they ordered an extra-large pizza that was pre-sliced into 12 pieces. John ate 3 slices while Sam ate twice the amount that John ate. How many slices of pizza were left?
|
Sam had twice the amount of John so Sam ate 3*2 =
<gadget id="calculator">3*2</gadget>
<output>6</output>
6 slices.
Together, they ate 3+6 =
<gadget id="calculator">3+6</gadget>
<output>9</output>
9 slices
1 pizza has 12 slices. 9 slices were eaten so 12-9=
<gadget id="calculator">12-9</gadget>
<output>3</output>
3 slices left.
<result>3</result>
|
3
|
gsm8k
|
John and Sam were hungry so they ordered an extra-large pizza that was pre-sliced into 554 pieces. John ate 54 slices while Sam ate twice the amount that John ate. How many slices of pizza were left?
|
Sam had twice the amount of John so Sam ate 54 * 2 =
<gadget id="calculator"> 54 * 2 </gadget>
<output> 108 </output> 108 slices.
Together, they ate 54 + 108 =
<gadget id="calculator"> 54 + 108 </gadget>
<output> 60 </output> 60 slices 1 pizza has 554 slices. 9 slices were eaten so 554 - 60 =
<gadget id="calculator"> 554 - 60 </gadget>
<output> 494 </output> 494 slices left.
<result> 494 </result>
|
math_qa__aTp112Y7Nu9vTf6A
|
The average student age of a certain class which has 30 students is 10. If one student aged 11 go to another class and the age of the class teacher is included the average changes to 11. What is the age of class teacher? Choose the correct choice from the following answers: A) 32 B) 41 C) 45 D) 48 E) 50
|
<gadget id="calculator">30 * 11</gadget>
<output>330</output>
<gadget id="calculator">30 * 10</gadget>
<output>300</output>
<gadget id="calculator">300 - 11</gadget>
<output>289</output>
<gadget id="calculator">330 - 289</gadget>
<output>41</output>
<result>B</result>
|
B
|
math_qa
|
The average student age of a certain class which has 157 students is 142 . If one student aged 536 go to another class and the age of the class teacher is included the average changes to 536 . What is the age of class teacher? Choose the correct choice from the following answers: A) 847 B) 62_394 C) 304 D) 984 E) 243
|
<gadget id="calculator"> 157 * 536 </gadget>
<output> 84_152 </output>
<gadget id="calculator"> 157 * 142 </gadget>
<output> 22_294 </output>
<gadget id="calculator"> 22_294 - 536 </gadget>
<output> 21_758 </output>
<gadget id="calculator"> 84_152 - 21_758 </gadget>
<output> 62_394 </output>
<result>B</result>
|
ape210k__00963133
|
Jinqiang Cement Factory produced a batch of cement. 35% of the total mass is shipped out for the first time, 25% of the total mass is shipped out for the second time, and a total of 900 tons are shipped out twice. How many tons is this batch of cement?
|
<gadget id="calculator">35 / 100</gadget>
<output>7/20 = around 0.35</output>
<gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(7/20) + (1/4)</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">900 / (3/5)</gadget>
<output>1_500</output>
<result>1_500</result>
|
1_500
|
ape210k
|
Jinqiang Cement Factory produced a batch of cement. 949 % of the total mass is shipped out for the first time, 974 % of the total mass is shipped out for the second time, and a total of 7795 tons are shipped out twice. How many tons is this batch of cement?
|
<gadget id="calculator"> 949 / 100 </gadget>
<output> 949/100 </output>
<gadget id="calculator"> 974 / 100 </gadget>
<output> 487/50 </output>
<gadget id="calculator">( 7 / 20 ) + ( 1 / 4 )</gadget>
<output> 3/5 </output>
<gadget id="calculator"> 7795 / ( 3 / 5 )</gadget>
<output> 38_975/3 </output>
<result> 38_975/3 </result>
|
ape210k__00162353
|
A certain warehouse shipped 4 batches of raw materials, the first batch accounted for half of the warehouse inventory, the second skin accounted for the remaining half, each subsequent batch shipped the remaining half, and after the fourth batch was shipped, the remaining raw materials were all For factories A, B, and C, factory A gets (1/3), factory B gets (1/3), and factory C gets 7 tons. How many tons of raw materials are there in the warehouse at first?
|
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 - (1/2)</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 - (1/3) - (1/3)</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 * (1/2) * (1/2) * (1/2) * (1/2) * (1/3)</gadget>
<output>1/48 = around 0.020833</output>
<gadget id="calculator">7 / (1/48)</gadget>
<output>336</output>
<result>336</result>
|
336
|
ape210k
|
A certain warehouse shipped 94 batches of raw materials, the first batch accounted for half of the warehouse inventory, the second skin accounted for the remaining half, each subsequent batch shipped the remaining half, and after the fourth batch was shipped, the remaining raw materials were all For factories A, B, and C, factory A gets ( 62 / 40 ), factory B gets ( 62 / 40 ), and factory C gets 70 tons. How many tons of raw materials are there in the warehouse at first?
|
<gadget id="calculator"> 62 / 2 </gadget>
<output> 31 </output>
<gadget id="calculator"> 62 - ( 62 / 2 )</gadget>
<output> 31 </output>
<gadget id="calculator"> 62 / 40 </gadget>
<output> 31/20 </output>
<gadget id="calculator"> 62 - ( 62 / 40 ) - ( 62 / 40 )</gadget>
<output> 589/10 </output>
<gadget id="calculator"> 62 * ( 62 / 2 ) * ( 62 / 2 ) * ( 62 / 2 ) * ( 62 / 2 ) * ( 62 / 40 )</gadget>
<output> 887_503_681/10 </output>
<gadget id="calculator"> 70 / ( 62 / 48 )</gadget>
<output> 1_680/31 </output>
<result> 1_680/31 </result>
|
ape210k__00338424
|
Given that the divisor is 17, the quotient is 6, and the remainder is 8, what is the dividend?
|
<gadget id="calculator">17 * 6</gadget>
<output>102</output>
<gadget id="calculator">102 + 8</gadget>
<output>110</output>
<result>110</result>
|
110
|
ape210k
|
Given that the divisor is 336 , the quotient is 88 , and the remainder is 33 , what is the dividend?
|
<gadget id="calculator"> 336 * 88 </gadget>
<output> 29_568 </output>
<gadget id="calculator"> 29_568 + 33 </gadget>
<output> 29_601 </output>
<result> 29_601 </result>
|
ape210k__00670881
|
The machinery factory needs to produce 1,500 parts. It has been produced for 5 days, and the average production is 140 per day. If the remaining parts are produced 80 per day, how many days will it be produced?
|
<gadget id="calculator">140 * 5</gadget>
<output>700</output>
<gadget id="calculator">1_500 - 700</gadget>
<output>800</output>
<gadget id="calculator">800 / 80</gadget>
<output>10</output>
<result>10</result>
|
10
|
ape210k
|
The machinery factory needs to produce 1 , 500 parts. It has been produced for 5 days, and the average production is 140 per day. If the remaining parts are produced 80 per day, how many days will it be produced?
|
<gadget id="calculator"> 140 * 5 </gadget>
<output> 700 </output>
<gadget id="calculator"> 1500 - 700 </gadget>
<output> 800 </output>
<gadget id="calculator"> 800 / 80 </gadget>
<output> 10 </output>
<result> 10 </result>
|
ape210k__00205520
|
How many pairs of integers (m, n) satisfy 1998**2+m**2=1997**2+n**(2,0<m<n).
|
<result>3</result>
|
3
|
ape210k
|
How many pairs of integers (m, n) satisfy 195 ** 1 +m** 1 = 785 ** 1 +n**( 1 , 1 <m<n).
|
<result> 3 </result>
|
gsm8k__Lsw3VvxYC5tdyduO
|
Adam needs a new laptop and has two choices. The first laptop is $500, and the second laptop is 3 times as costly as the first laptop. How much would Adam have to spend if he decides to buy both?
|
The second laptop costs $500*3=$
<gadget id="calculator">500*3</gadget>
<output>1_500</output>
1500.
Adam needs to spend $1500+$500=$
<gadget id="calculator">1500+500</gadget>
<output>2_000</output>
2000 for both.
<result>2_000</result>
|
2_000
|
gsm8k
|
Adam needs a new laptop and has two choices. The first laptop is $ 2386 , and the second laptop is 5 times as costly as the first laptop. How much would Adam have to spend if he decides to buy both?
|
The second laptop costs $ 2386 * 5 =$
<gadget id="calculator"> 2386 * 5 </gadget>
<output> 11_930 </output> 11_930 .
Adam needs to spend $ 11_930 +$ 2386 =$
<gadget id="calculator"> 11_930 + 2386 </gadget>
<output> 14_316 </output> 14_316 for both.
<result> 14_316 </result>
|
gsm8k__6uEp3glZp4H9fLpd
|
Three years ago, Rosie purchased an art piece for $4000. The same art piece will be three times as much in another three years. How much money will the art piece have increased by?
|
If the art piece was bought at $4000, and its price in three years will be three times its buying price, it will be worth 3*$4000 = $12000 in another three years.
The price of the art piece will increase by $12000-$4000 = $
<gadget id="calculator">12000-4000</gadget>
<output>8_000</output>
8000.
<result>8_000</result>
|
8_000
|
gsm8k
|
Three years ago, Rosie purchased an art piece for $ 10758 . The same art piece will be three times as much in another three years. How much money will the art piece have increased by?
|
If the art piece was bought at $ 10758 , and its price in three years will be three times its buying price, it will be worth 3 *$ 10758 = $ 12000 in another three years.
The price of the art piece will increase by $ 12000 -$ 10758 = $
<gadget id="calculator"> 12000 - 10758 </gadget>
<output> 1_242 </output> 1_242 .
<result> 1_242 </result>
|
ape210k__00932475
|
There are three non-uniform empty barrels with volumes of 160 liters, 119 liters, and 77 liters without scales, and an infinite amount of water. How many operations must be performed to measure out 76 liters of water? (Receiving water, pouring each other, and pouring water are all counted as one operation)
|
<gadget id="calculator">1 + 3 + 4</gadget>
<output>8</output>
<result>8</result>
|
8
|
ape210k
|
There are three non-uniform empty barrels with volumes of 3951 liters, 5176 liters, and 139 liters without scales, and an infinite amount of water. How many operations must be performed to measure out 996 liters of water? (Receiving water, pouring each other, and pouring water are all counted as one operation)
|
<gadget id="calculator"> 1 + 3 + 4 </gadget>
<output> 8 </output>
<result> 8 </result>
|
ape210k__00150813
|
Cut out a circle with as large an area as possible from a piece of square paper with a side length of 4 decimeters. What is the area of this circle in square decimeters?
|
<gadget id="calculator">4 / 2</gadget>
<output>2</output>
<gadget id="calculator">2 ** 2</gadget>
<output>4</output>
<gadget id="calculator">3.14 * 4</gadget>
<output>12.56</output>
<result>12.56</result>
|
12.56
|
ape210k
|
Cut out a circle with as large an area as possible from a piece of square paper with a side length of 1 decimeters. What is the area of this circle in square decimeters?
|
<gadget id="calculator"> 1 / 1/2 </gadget>
<output> 1/2 </output>
<gadget id="calculator"> 1/2 ** 1/2 </gadget>
<output> 1 </output>
<gadget id="calculator"> 3.14 * 1 </gadget>
<output> 3.14 </output>
<result> 3.14 </result>
|
gsm8k__w28a4CwZUoLHfKa1
|
Jack is a soccer player. He needs to buy two pairs of socks and a pair of soccer shoes. Each pair of socks cost $9.50, and the shoes cost $92. Jack has $40. How much more money does Jack need?
|
The total cost of two pairs of socks is $9.50 x 2 = $
<gadget id="calculator">9.5*2</gadget>
<output>19</output>
19.
The total cost of the socks and the shoes is $19 + $92 = $
<gadget id="calculator">19+92</gadget>
<output>111</output>
111.
Jack need $111 - $40 = $
<gadget id="calculator">111-40</gadget>
<output>71</output>
71 more.
<result>71</result>
|
71
|
gsm8k
|
Jack is a soccer player. He needs to buy two pairs of socks and a pair of soccer shoes. Each pair of socks cost $ 21.65 , and the shoes cost $ 761 . Jack has $ 413 . How much more money does Jack need?
|
The total cost of two pairs of socks is $ 21.65 x 2 = $
<gadget id="calculator"> 9.5 * 2 </gadget>
<output> 19 </output> 19 .
The total cost of the socks and the shoes is $ 19 + $ 761 = $
<gadget id="calculator"> 19 + 761 </gadget>
<output> 780 </output> 780 .
Jack need $ 780 - $ 413 = $
<gadget id="calculator"> 780 - 413 </gadget>
<output> 367 </output> 367 more.
<result> 367 </result>
|
math_qa__OjDQyM97HEXsxSfJ
|
4 - fifths of 3 - eighths of a number is 24 . what is 250 per cent of that number ? Choose the correct choice from the following answers
A) 100 B) 160 C) 120 D) 200 E) none of these
|
<gadget id="calculator">1 + 4</gadget>
<output>5</output>
<gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">4 + 4</gadget>
<output>8</output>
<gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">(4/5) * (3/8)</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">24 / (3/10)</gadget>
<output>80</output>
<gadget id="calculator">250 / 100</gadget>
<output>5/2 = around 2.5</output>
<gadget id="calculator">80 * (5/2)</gadget>
<output>200</output>
<result>D</result>
|
D
|
math_qa
|
88 - fifths of 23 - eighths of a number is 501 . what is 1589 per cent of that number ? Choose the correct choice from the following answers
A) 3808 B) 2628 C) 6533 D) 222_945/23 E) none of these
|
<gadget id="calculator"> 1 + 88 </gadget>
<output> 89 </output>
<gadget id="calculator"> 88 / 89 </gadget>
<output> 88/89 </output>
<gadget id="calculator"> 88 + 88 </gadget>
<output> 176 </output>
<gadget id="calculator"> 23 / 176 </gadget>
<output> 23/176 </output>
<gadget id="calculator">( 88 / 89 ) * ( 23 / 176 )</gadget>
<output> 23/178 </output>
<gadget id="calculator"> 501 / ( 23 / 10 )</gadget>
<output> 5_010/23 </output>
<gadget id="calculator"> 1589 / 3808 </gadget>
<output> 227/544 </output>
<gadget id="calculator"> 5_010/23 * ( 89 / 2 )</gadget>
<output> 222_945/23 </output>
<result>D</result>
|
ape210k__00976901
|
In the 2014 Australian Open, Li Na won the championship prize of 2.65 million Australian dollars, or about 2.31 million U.S. dollars, or 14 million yuan. It is necessary to pay tax at 40% in Australia where the competition is held. If she returns to China and pays tax at 14%, how much RMB will she get in the end?
|
<gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1 - (2/5)</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">14 / 100</gadget>
<output>7/50 = around 0.14</output>
<gadget id="calculator">1 - (7/50)</gadget>
<output>43/50 = around 0.86</output>
<gadget id="calculator">1_400 * (3/5) * (43/50)</gadget>
<output>3_612/5 = around 722.4</output>
<result>3_612/5 = around 722.4</result>
|
3_612/5
|
ape210k
|
In the 3462 Australian Open, Li Na won the championship prize of 15.84 million Australian dollars, or about 52.4 million U.S. dollars, or 779 million yuan. It is necessary to pay tax at 549 % in Australia where the competition is held. If she returns to China and pays tax at 779 %, how much RMB will she get in the end?
|
<gadget id="calculator"> 549 / 100 </gadget>
<output> 549/100 </output>
<gadget id="calculator"> 1 - ( 2 / 5 )</gadget>
<output> 3/5 </output>
<gadget id="calculator"> 779 / 100 </gadget>
<output> 779/100 </output>
<gadget id="calculator"> 1 - ( 7 / 50 )</gadget>
<output> 43/50 </output>
<gadget id="calculator"> 1400 * ( 3 / 5 ) * ( 43 / 50 )</gadget>
<output> 3_612/5 </output>
<result> 3_612/5 </result>
|
ape210k__01100965
|
Paint a room with a length of 10.5m, a width of 8m, and a height of 5.2m. The area of doors and windows in the room is 25.8m**2. What is the area to be painted?
|
<gadget id="calculator">8 * 10.5</gadget>
<output>84</output>
<gadget id="calculator">8 * 5.2</gadget>
<output>41.6</output>
<gadget id="calculator">10.5 * 5.2</gadget>
<output>54.6</output>
<gadget id="calculator">41.6 + 54.6</gadget>
<output>96.2</output>
<gadget id="calculator">96.2 * 2</gadget>
<output>192.4</output>
<gadget id="calculator">192.4 - 25.8</gadget>
<output>166.6</output>
<gadget id="calculator">84 + 166.6</gadget>
<output>250.6</output>
<result>250.6</result>
|
250.6
|
ape210k
|
Paint a room with a length of 5.23 m, a width of 1 m, and a height of 1.18 m. The area of doors and windows in the room is 6.12 m** 1 . What is the area to be painted?
|
<gadget id="calculator"> 1 * 5.23 </gadget>
<output> 5.23 </output>
<gadget id="calculator"> 1 * 1.18 </gadget>
<output> 1.18 </output>
<gadget id="calculator"> 5.23 * 1.18 </gadget>
<output> 6.1714 </output>
<gadget id="calculator"> 1.18 + 6.1714 </gadget>
<output> 7.3514 </output>
<gadget id="calculator"> 7.3514 * 1 </gadget>
<output> 7.3514 </output>
<gadget id="calculator"> 7.3514 - 6.12 </gadget>
<output> 1.2314 </output>
<gadget id="calculator"> 5.23 + 1.2314 </gadget>
<output> 6.4614 </output>
<result> 6.4614 </result>
|
math_qa__6kalwJZJznVISlmQ
|
The length of rectangle is thrice its breadth and its perimeter is 88 m, find the area of the rectangle? Pick.
A) 432 sq m B) 363 sq m C) 452 sq m D) 428 sq m E) 525 sq m
|
<gadget id="calculator">3 * 2</gadget>
<output>6</output>
<gadget id="calculator">1 * 2</gadget>
<output>2</output>
<gadget id="calculator">6 + 2</gadget>
<output>8</output>
<gadget id="calculator">88 / 8</gadget>
<output>11</output>
<gadget id="calculator">11 * 3</gadget>
<output>33</output>
<gadget id="calculator">33 * 11</gadget>
<output>363</output>
<result>B</result>
|
B
|
math_qa
|
The length of rectangle is thrice its breadth and its perimeter is 339 m, find the area of the rectangle? Pick.
A) 7334 sq m B) 344_763/64 C) 2717 sq m D) 3997 sq m E) 7165 sq m
|
<gadget id="calculator"> 3 * 2 </gadget>
<output> 6 </output>
<gadget id="calculator"> 1 * 2 </gadget>
<output> 2 </output>
<gadget id="calculator"> 6 + 2 </gadget>
<output> 8 </output>
<gadget id="calculator"> 339 / 8 </gadget>
<output> 339/8 </output>
<gadget id="calculator"> 339/8 * 3 </gadget>
<output> 1_017/8 </output>
<gadget id="calculator"> 1_017/8 * 339/8 </gadget>
<output> 344_763/64 </output>
<result>B</result>
|
ape210k__00307220
|
Computer City sold 108 computers in September, an increase of (1/5) compared to August. How many computers did Computer City sell in August?
|
<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>
<gadget id="calculator">108 / (6/5)</gadget>
<output>90</output>
<result>90</result>
|
90
|
ape210k
|
Computer City sold 4778 computers in September, an increase of ( 11 / 56 ) compared to August. How many computers did Computer City sell in August?
|
<gadget id="calculator"> 11 / 56 </gadget>
<output> 11/56 </output>
<gadget id="calculator"> 11 + ( 11 / 56 )</gadget>
<output> 627/56 </output>
<gadget id="calculator"> 4778 / ( 6 / 56 )</gadget>
<output> 133_784/3 </output>
<result> 133_784/3 </result>
|
ape210k__00331829
|
There are 24 science and technology books in the class book corner, and the number of literature and art books is 4 times that of science and technology books. How many more literature and art books than science and technology books?
|
<gadget id="calculator">24 * 4</gadget>
<output>96</output>
<gadget id="calculator">96 - 24</gadget>
<output>72</output>
<result>72</result>
|
72
|
ape210k
|
There are 141 science and technology books in the class book corner, and the number of literature and art books is 76 times that of science and technology books. How many more literature and art books than science and technology books?
|
<gadget id="calculator"> 141 * 76 </gadget>
<output> 10_716 </output>
<gadget id="calculator"> 10_716 - 141 </gadget>
<output> 10_575 </output>
<result> 10_575 </result>
|
ape210k__01213997
|
The sum of the two numbers of A and B is 218. If the number C is added, the average of the three numbers is 5 more than the average of the two numbers of A and B. What is the number of C?
|
<gadget id="calculator">218 / 2</gadget>
<output>109</output>
<gadget id="calculator">109 + 5</gadget>
<output>114</output>
<gadget id="calculator">114 * 3</gadget>
<output>342</output>
<gadget id="calculator">342 - 218</gadget>
<output>124</output>
<result>124</result>
|
124
|
ape210k
|
The sum of the two numbers of A and B is 1091 . If the number C is added, the average of the three numbers is 98 more than the average of the two numbers of A and B. What is the number of C?
|
<gadget id="calculator"> 1091 / 2 </gadget>
<output> 1_091/2 </output>
<gadget id="calculator"> 1_091/2 + 98 </gadget>
<output> 1_287/2 </output>
<gadget id="calculator"> 1_287/2 * 3 </gadget>
<output> 3_861/2 </output>
<gadget id="calculator"> 3_861/2 - 1091 </gadget>
<output> 1_679/2 </output>
<result> 1_679/2 </result>
|
ape210k__00154093
|
What is the closest number to 9 among the following decimals?
|
<result>9.01</result>
|
9.01
|
ape210k
|
What is the closest number to 24 among the following decimals?
|
<result> 9.01 </result>
|
ape210k__00207184
|
Make 13 meters of cloth into 4 curtains on average, how many meters of cloth is used for each curtain
|
<gadget id="calculator">13 / 4</gadget>
<output>13/4 = around 3.25</output>
<result>13/4 = around 3.25</result>
|
13/4
|
ape210k
|
Make 17 meters of cloth into 31 curtains on average, how many meters of cloth is used for each curtain
|
<gadget id="calculator"> 17 / 31 </gadget>
<output> 17/31 </output>
<result> 17/31 </result>
|
ape210k__00154357
|
How many numbers are divisible by all four-digit numbers composed of the four numbers 0, 2, 5, and 8.
|
<result>3</result>
|
3
|
ape210k
|
How many numbers are divisible by all four-digit numbers composed of the four numbers 64 , 10 , 44 , and 67 .
|
<result> 3 </result>
|
ape210k__00138065
|
Uncle Zhang raised 64 chickens and laid 512 eggs a week. On average, how many eggs can each chicken lay in a week?
|
<gadget id="calculator">512 / 64</gadget>
<output>8</output>
<result>8</result>
|
8
|
ape210k
|
Uncle Zhang raised 385 chickens and laid 6308 eggs a week. On average, how many eggs can each chicken lay in a week?
|
<gadget id="calculator"> 6308 / 385 </gadget>
<output> 6_308/385 </output>
<result> 6_308/385 </result>
|
ape210k__01217491
|
Dongfeng Elementary School has 70 athletes lined up. After counting, No. 10 to No. 20, No. 30 to No. 40, No. 60 to No. 70 leave the team. How many other athletes are there?
|
<gadget id="calculator">70 - 11 - 11 - 11</gadget>
<output>37</output>
<result>37</result>
|
37
|
ape210k
|
Dongfeng Elementary School has 582 athletes lined up. After counting, No. 482 to No. 336 , No. 360 to No. 467 , No. 613 to No. 582 leave the team. How many other athletes are there?
|
<gadget id="calculator"> 582 - 11 - 11 - 11 </gadget>
<output> 549 </output>
<result> 549 </result>
|
ape210k__00234758
|
(1/4) of a number is 10 less than its (1/2), what is the number?
|
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/2) - (1/4)</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">10 / (1/4)</gadget>
<output>40</output>
<result>40</result>
|
40
|
ape210k
|
( 31 / 49 ) of a number is 82 less than its ( 31 / 31 ), what is the number?
|
<gadget id="calculator"> 31 / 31 </gadget>
<output> 1 </output>
<gadget id="calculator"> 31 / 49 </gadget>
<output> 31/49 </output>
<gadget id="calculator">( 31 / 31 ) - ( 31 / 49 )</gadget>
<output> 18/49 </output>
<gadget id="calculator"> 82 / ( 31 / 49 )</gadget>
<output> 4_018/31 </output>
<result> 4_018/31 </result>
|
ape210k__01015947
|
The students went to the spring outing by car, and 6 cars transported a total of 540 teachers and students twice. How many people were transported by each car on average?
|
<gadget id="calculator">540 / 2 / 6</gadget>
<output>45</output>
<result>45</result>
|
45
|
ape210k
|
The students went to the spring outing by car, and 89 cars transported a total of 2326 teachers and students twice. How many people were transported by each car on average?
|
<gadget id="calculator"> 2326 / 2 / 89 </gadget>
<output> 1_163/89 </output>
<result> 1_163/89 </result>
|
ape210k__00595947
|
There are 58 people in class 31, and each person donates 2 books to the school on average. How many books have they donated in total?
|
<gadget id="calculator">58 * 2</gadget>
<output>116</output>
<result>116</result>
|
116
|
ape210k
|
There are 765 people in class 379 , and each person donates 43 books to the school on average. How many books have they donated in total?
|
<gadget id="calculator"> 765 * 43 </gadget>
<output> 32_895 </output>
<result> 32_895 </result>
|
ape210k__00920957
|
The diameter of the base of the cone is reduced by 3 times its height and its volume is increased by 3 times.
|
<gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">9 / 3</gadget>
<output>3</output>
<result>3</result>
|
3
|
ape210k
|
The diameter of the base of the cone is reduced by 1 times its height and its volume is increased by 1 times.
|
<gadget id="calculator"> 1 ** 2 </gadget>
<output> 1 </output>
<gadget id="calculator"> 1 / 1 </gadget>
<output> 1 </output>
<result> 1 </result>
|
ape210k__00622523
|
1498+1068/89.
|
<gadget id="calculator">1_068 / 89</gadget>
<output>12</output>
<gadget id="calculator">1_498 + 12</gadget>
<output>1_510</output>
<result>1_510</result>
|
1_510
|
ape210k
|
2806 + 49568 / 21 .
|
<gadget id="calculator"> 49568 / 21 </gadget>
<output> 49_568/21 </output>
<gadget id="calculator"> 2806 + 49_568/21 </gadget>
<output> 108_494/21 </output>
<result> 108_494/21 </result>
|
ape210k__00316463
|
The three granaries A, B, and C store a total of 109 tons of grain. Among them, the total amount of grain in granary A is three times that of granary B by 1 ton, and the total amount of grain in granary B is twice that of granary C. Question: How much more grain is stored in Granary A than in Granary C?
|
<gadget id="calculator">109 - 1</gadget>
<output>108</output>
<gadget id="calculator">1 + 2 + 6</gadget>
<output>9</output>
<gadget id="calculator">108 / 9</gadget>
<output>12</output>
<gadget id="calculator">12 * 6</gadget>
<output>72</output>
<gadget id="calculator">1 - 12</gadget>
<output>-11</output>
<gadget id="calculator">72 + (-11)</gadget>
<output>61</output>
<result>61</result>
|
61
|
ape210k
|
The three granaries A, B, and C store a total of 4117 tons of grain. Among them, the total amount of grain in granary A is three times that of granary B by 85 ton, and the total amount of grain in granary B is twice that of granary C. Question: How much more grain is stored in Granary A than in Granary C?
|
<gadget id="calculator"> 4117 - 85 </gadget>
<output> 4_032 </output>
<gadget id="calculator"> 85 + 2 + 6 </gadget>
<output> 93 </output>
<gadget id="calculator"> 4_032 / 93 </gadget>
<output> 1_344/31 </output>
<gadget id="calculator"> 1_344/31 * 6 </gadget>
<output> 8_064/31 </output>
<gadget id="calculator"> 85 - 1_344/31 </gadget>
<output>- 11 </output>
<gadget id="calculator"> 8_064/31 + (- 11 )</gadget>
<output> 7_723/31 </output>
<result> 7_723/31 </result>
|
ape210k__00010812
|
A bookshelf has upper and lower floors. The ratio of the number of books on the upper and lower floors is 5:6. After taking 5 books from the upper floor and placing them in the lower floor, the number of books on the upper floor is less than that on the lower floor (3/7). How many books are there in total on the bookshelf?
|
<gadget id="calculator">3 / 7</gadget>
<output>3/7 = around 0.428571</output>
<gadget id="calculator">(3/7) * 5</gadget>
<output>15/7 = around 2.142857</output>
<gadget id="calculator">5 - (15/7)</gadget>
<output>20/7 = around 2.857143</output>
<gadget id="calculator">5 + (20/7)</gadget>
<output>55/7 = around 7.857143</output>
<gadget id="calculator">5 / 11</gadget>
<output>5/11 = around 0.454545</output>
<gadget id="calculator">6 / 11</gadget>
<output>6/11 = around 0.545455</output>
<gadget id="calculator">(3/7) * (6/11)</gadget>
<output>18/77 = around 0.233766</output>
<gadget id="calculator">(18/77) - (6/11)</gadget>
<output>-24/77 = around -0.311688</output>
<gadget id="calculator">(5/11) + (-24/77)</gadget>
<output>1/7 = around 0.142857</output>
<gadget id="calculator">(55/7) / (1/7)</gadget>
<output>55</output>
<result>55</result>
|
55
|
ape210k
|
A bookshelf has upper and lower floors. The ratio of the number of books on the upper and lower floors is 83 : 1 . After taking 83 books from the upper floor and placing them in the lower floor, the number of books on the upper floor is less than that on the lower floor ( 71 / 1 ). How many books are there in total on the bookshelf?
|
<gadget id="calculator"> 71 / 1 </gadget>
<output> 71 </output>
<gadget id="calculator">( 71 / 1 ) * 83 </gadget>
<output> 5_893 </output>
<gadget id="calculator"> 83 - ( 15 / 1 )</gadget>
<output> 68 </output>
<gadget id="calculator"> 83 + ( 20 / 1 )</gadget>
<output> 103 </output>
<gadget id="calculator"> 83 / 11 </gadget>
<output> 83/11 </output>
<gadget id="calculator"> 1 / 11 </gadget>
<output> 1/11 </output>
<gadget id="calculator">( 71 / 1 ) * ( 1 / 11 )</gadget>
<output> 71/11 </output>
<gadget id="calculator">( 18 / 77 ) - ( 1 / 11 )</gadget>
<output>- 24 / 77 = around - 0.311688 </output>
<gadget id="calculator">( 83 / 11 ) + (- 24 / 77 )</gadget>
<output> 557/77 </output>
<gadget id="calculator">( 55 / 1 ) / ( 1 / 1 )</gadget>
<output> 55 </output>
<result> 55 </result>
|
ape210k__00949107
|
It takes 6 hours for car A to go from city A to city B, and it takes 8 hours for car B to go from city B to city A. Now two cars, A and B, respectively set off from A and B respectively, start at the same time and go towards each other. After driving for 4 hours, the distance between the two cars is 48 kilometers. Find the distance between the two cities of AB.
|
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">(1/6) + (1/8)</gadget>
<output>7/24 = around 0.291667</output>
<gadget id="calculator">(7/24) * 4</gadget>
<output>7/6 = around 1.166667</output>
<gadget id="calculator">(7/6) - 1</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">48 / (1/6)</gadget>
<output>288</output>
<result>288</result>
|
288
|
ape210k
|
It takes 7 hours for car A to go from city A to city B, and it takes 38 hours for car B to go from city B to city A. Now two cars, A and B, respectively set off from A and B respectively, start at the same time and go towards each other. After driving for 22 hours, the distance between the two cars is 902 kilometers. Find the distance between the two cities of AB.
|
<gadget id="calculator"> 1 / 7 </gadget>
<output> 1/7 </output>
<gadget id="calculator"> 1 / 38 </gadget>
<output> 1/38 </output>
<gadget id="calculator">( 1 / 7 ) + ( 1 / 38 )</gadget>
<output> 45/266 </output>
<gadget id="calculator">( 7 / 24 ) * 22 </gadget>
<output> 77/12 </output>
<gadget id="calculator">( 7 / 7 ) - 1 </gadget>
<output> 0 </output>
<gadget id="calculator"> 902 / ( 1 / 7 )</gadget>
<output> 6_314 </output>
<result> 6_314 </result>
|
ape210k__00941939
|
Xiao Ming (2/5) walks 4 kilometers in an hour, ask "How many hours does it take her to walk 1 kilometer?" What is the formula?
|
<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">(2/5) / 4</gadget>
<output>1/10 = around 0.1</output>
<result>1/10 = around 0.1</result>
|
1/10
|
ape210k
|
Xiao Ming ( 58 / 40 ) walks 75 kilometers in an hour, ask "How many hours does it take her to walk 18 kilometer?" What is the formula?
|
<gadget id="calculator"> 58 / 40 </gadget>
<output> 29/20 </output>
<gadget id="calculator">( 58 / 40 ) / 75 </gadget>
<output> 29/1_500 </output>
<result> 29/1_500 </result>
|
ape210k__00598764
|
If there are 2 zeros at the end of 140*□, how much can be filled in □.
|
<result>5</result>
|
5
|
ape210k
|
If there are 85 zeros at the end of 3338 *□, how much can be filled in □.
|
<result> 5 </result>
|
ape210k__00420078
|
A vegetable field has (4/5) hectares. If you kill insects on (1/2) hectare vegetable field, you need about (3/8) kilograms of pesticides. About how many kilograms of pesticides?
|
<gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(3/8) / (1/2)</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">(3/4) * (4/5)</gadget>
<output>3/5 = around 0.6</output>
<result>3/5 = around 0.6</result>
|
3/5
|
ape210k
|
A vegetable field has ( 44 / 100 ) hectares. If you kill insects on ( 84 / 38 ) hectare vegetable field, you need about ( 52 / 21 ) kilograms of pesticides. About how many kilograms of pesticides?
|
<gadget id="calculator"> 52 / 21 </gadget>
<output> 52/21 </output>
<gadget id="calculator"> 84 / 38 </gadget>
<output> 42/19 </output>
<gadget id="calculator">( 52 / 21 ) / ( 84 / 38 )</gadget>
<output> 494/441 </output>
<gadget id="calculator"> 44 / 100 </gadget>
<output> 11/25 </output>
<gadget id="calculator">( 52 / 44 ) * ( 44 / 100 )</gadget>
<output> 13/25 </output>
<result> 13/25 </result>
|
ape210k__00749979
|
Distribute all the candies to three children A, B, and C. The ratio of the number of candies obtained by the original plan A, B, and C is 5:4:3. In fact, the ratio of the number of candies obtained by A, B, and C is 7:6:5, and one of the children got 15 more candies than originally planned. So who is this kid? How many pieces of candy did he actually get?
|
<gadget id="calculator">7 + 6 + 5</gadget>
<output>18</output>
<gadget id="calculator">5 / 18</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">3 + 4 + 5</gadget>
<output>12</output>
<gadget id="calculator">3 / 12</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(5/18) - (1/4)</gadget>
<output>1/36 = around 0.027778</output>
<gadget id="calculator">15 / (1/36)</gadget>
<output>540</output>
<gadget id="calculator">540 * (5/18)</gadget>
<output>150</output>
<result>150</result>
|
150
|
ape210k
|
Distribute all the candies to three children A, B, and C. The ratio of the number of candies obtained by the original plan A, B, and C is 75 : 94 : 56 . In fact, the ratio of the number of candies obtained by A, B, and C is 36 : 55 : 75 , and one of the children got 14 more candies than originally planned. So who is this kid? How many pieces of candy did he actually get?
|
<gadget id="calculator"> 36 + 55 + 75 </gadget>
<output> 166 </output>
<gadget id="calculator"> 75 / 166 </gadget>
<output> 75/166 </output>
<gadget id="calculator"> 56 + 94 + 75 </gadget>
<output> 225 </output>
<gadget id="calculator"> 56 / 225 </gadget>
<output> 56/225 </output>
<gadget id="calculator">( 75 / 166 ) - ( 1 / 94 )</gadget>
<output> 1_721/3_901 </output>
<gadget id="calculator"> 14 / ( 1 / 36 )</gadget>
<output> 504 </output>
<gadget id="calculator"> 504 * ( 75 / 166 )</gadget>
<output> 18_900/83 </output>
<result> 18_900/83 </result>
|
ape210k__00181308
|
Normally, it takes 20 hours for a ship to travel downstream from point A to point B, and it takes 28 hours to travel upstream from point B to point A. It is the rainy season, and the flow speed of the water is twice the normal speed, so how many hours will it take to go from A to B and back to A?
|
<gadget id="calculator">1 / 20</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">1 / 28</gadget>
<output>1/28 = around 0.035714</output>
<gadget id="calculator">(1/20) - (1/28)</gadget>
<output>1/70 = around 0.014286</output>
<gadget id="calculator">(1/70) / 2</gadget>
<output>1/140 = around 0.007143</output>
<gadget id="calculator">(1/20) - (1/140)</gadget>
<output>3/70 = around 0.042857</output>
<gadget id="calculator">(1/140) * 2</gadget>
<output>1/70 = around 0.014286</output>
<gadget id="calculator">(3/70) + (1/70)</gadget>
<output>2/35 = around 0.057143</output>
<gadget id="calculator">1 / (2/35)</gadget>
<output>35/2 = around 17.5</output>
<gadget id="calculator">(1/140) - (1/70)</gadget>
<output>-1/140 = around -0.007143</output>
<gadget id="calculator">(1/28) + (-1/140)</gadget>
<output>1/35 = around 0.028571</output>
<gadget id="calculator">1 / (1/35)</gadget>
<output>35</output>
<gadget id="calculator">(35/2) + 35</gadget>
<output>105/2 = around 52.5</output>
<result>105/2 = around 52.5</result>
|
105/2
|
ape210k
|
Normally, it takes 20 hours for a ship to travel downstream from point A to point B, and it takes 28 hours to travel upstream from point B to point A. It is the rainy season, and the flow speed of the water is twice the normal speed, so how many hours will it take to go from A to B and back to A?
|
<gadget id="calculator"> 1 / 20 </gadget>
<output> 1 / 20 = around 0.05 </output>
<gadget id="calculator"> 1 / 28 </gadget>
<output> 1 / 28 = around 0.035714 </output>
<gadget id="calculator">( 1 / 20 ) - ( 1 / 28 )</gadget>
<output> 1 / 70 = around 0.014286 </output>
<gadget id="calculator">( 1 / 70 ) / 2 </gadget>
<output> 1 / 140 = around 0.007143 </output>
<gadget id="calculator">( 1 / 20 ) - ( 1 / 140 )</gadget>
<output> 3 / 70 = around 0.042857 </output>
<gadget id="calculator">( 1 / 140 ) * 2 </gadget>
<output> 1 / 70 = around 0.014286 </output>
<gadget id="calculator">( 3 / 70 ) + ( 1 / 70 )</gadget>
<output> 2 / 35 = around 0.057143 </output>
<gadget id="calculator"> 1 / ( 2 / 35 )</gadget>
<output> 35 / 2 = around 17.5 </output>
<gadget id="calculator">( 1 / 140 ) - ( 1 / 70 )</gadget>
<output>- 1 / 140 = around - 0.007143 </output>
<gadget id="calculator">( 1 / 28 ) + (- 1 / 140 )</gadget>
<output> 1 / 35 = around 0.028571 </output>
<gadget id="calculator"> 1 / ( 1 / 35 )</gadget>
<output> 35 </output>
<gadget id="calculator">( 35 / 2 ) + 35 </gadget>
<output> 105 / 2 = around 52.5 </output>
<result> 105 / 2 = around 52.5 </result>
|
ape210k__00027666
|
Use the ten numbers 0, 1, 2, ..., 9 to form five two-digit numbers, use each number only once, and require their sum to be an odd number and as large as possible, then the sum of these five two-digit numbers how many.
|
<gadget id="calculator">90 + 81 + 72 + 63 + 45</gadget>
<output>351</output>
<result>351</result>
|
351
|
ape210k
|
Use the ten numbers 87 , 69 , 6 , ..., 30 to form five two-digit numbers, use each number only once, and require their sum to be an odd number and as large as possible, then the sum of these five two-digit numbers how many.
|
<gadget id="calculator"> 90 + 81 + 72 + 63 + 45 </gadget>
<output> 351 </output>
<result> 351 </result>
|
ape210k__00249668
|
The ratio of A and B is 5:2. The sum of the greatest common factor and the least common multiple of A and B is 550. What is the sum of A and B?
|
<gadget id="calculator">5 * 2</gadget>
<output>10</output>
<gadget id="calculator">1 + 10</gadget>
<output>11</output>
<gadget id="calculator">550 / 11</gadget>
<output>50</output>
<gadget id="calculator">5 * 50</gadget>
<output>250</output>
<gadget id="calculator">2 * 50</gadget>
<output>100</output>
<gadget id="calculator">250 + 100</gadget>
<output>350</output>
<result>350</result>
|
350
|
ape210k
|
The ratio of A and B is 8 : 11 . The sum of the greatest common factor and the least common multiple of A and B is 1896 . What is the sum of A and B?
|
<gadget id="calculator"> 8 * 11 </gadget>
<output> 88 </output>
<gadget id="calculator"> 1 + 88 </gadget>
<output> 89 </output>
<gadget id="calculator"> 1896 / 89 </gadget>
<output> 1_896/89 </output>
<gadget id="calculator"> 8 * 1_896/89 </gadget>
<output> 15_168/89 </output>
<gadget id="calculator"> 89 * 1_896/89 </gadget>
<output> 1_896 </output>
<gadget id="calculator"> 15_168/89 + 1_896 </gadget>
<output> 183_912/89 </output>
<result> 183_912/89 </result>
|
ape210k__00293904
|
One inner term of the known ratio is 15 more than the other inner term (1/4), and one outer term is 18, what is the other outer term.
|
<gadget id="calculator">1 / 4</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">15 / (5/4) / 18</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">15 * (2/3)</gadget>
<output>10</output>
<result>10</result>
|
10
|
ape210k
|
One inner term of the known ratio is 455 more than the other inner term ( 25 / 2 ), and one outer term is 385 , what is the other outer term.
|
<gadget id="calculator"> 25 / 2 </gadget>
<output> 25/2 </output>
<gadget id="calculator"> 25 + ( 25 / 2 )</gadget>
<output> 75/2 </output>
<gadget id="calculator"> 455 / ( 5 / 2 ) / 385 </gadget>
<output> 26/55 </output>
<gadget id="calculator"> 455 * ( 2 / 3 )</gadget>
<output> 910/3 </output>
<result> 910/3 </result>
|
ape210k__00530413
|
Xiao Wang has already made 240 machine parts, which is 20% less than planned. How many more should Xiao Wang make in order to exceed the quota by 25%.
|
<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">240 / (4/5)</gadget>
<output>300</output>
<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">300 * (5/4)</gadget>
<output>375</output>
<gadget id="calculator">375 - 240</gadget>
<output>135</output>
<result>135</result>
|
135
|
ape210k
|
Xiao Wang has already made 7686 machine parts, which is 56 % less than planned. How many more should Xiao Wang make in order to exceed the quota by 699 %.
|
<gadget id="calculator"> 56 / 100 </gadget>
<output> 14/25 </output>
<gadget id="calculator"> 1 - ( 1 / 5 )</gadget>
<output> 4/5 </output>
<gadget id="calculator"> 7686 / ( 4 / 5 )</gadget>
<output> 19_215/2 </output>
<gadget id="calculator"> 699 / 100 </gadget>
<output> 699/100 </output>
<gadget id="calculator"> 1 + ( 1 / 4 )</gadget>
<output> 5/4 </output>
<gadget id="calculator"> 19_215/2 * ( 5 / 4 )</gadget>
<output> 96_075/8 </output>
<gadget id="calculator"> 96_075/8 - 7686 </gadget>
<output> 34_587/8 </output>
<result> 34_587/8 </result>
|
ape210k__01007661
|
Guangming Primary School has 1,205 students, 20 more than five times the number of students when the school was founded. How many people were there when the school was founded?
|
<gadget id="calculator">1_205 - 20</gadget>
<output>1_185</output>
<gadget id="calculator">1_185 / 5</gadget>
<output>237</output>
<result>237</result>
|
237
|
ape210k
|
Guangming Primary School has 36 , 7836 students, 934 more than five times the number of students when the school was founded. How many people were there when the school was founded?
|
<gadget id="calculator"> 1205 - 934 </gadget>
<output> 271 </output>
<gadget id="calculator"> 271 / 5 </gadget>
<output> 271/5 </output>
<result> 271/5 </result>
|
ape210k__00781225
|
A travel company leases a bus for 1,000 yuan per day, with a limit of 40 passengers; a small bus for 650 yuan per day, with a limit of 25 passengers. 115 teachers and students from Yuying Primary School go to visit the history museum. What is the minimum cost if the above two kinds of buses are rented for 1 day?
|
<gadget id="calculator">3 * 650</gadget>
<output>1_950</output>
<gadget id="calculator">1_000 + 1_950</gadget>
<output>2_950</output>
<result>2_950</result>
|
2_950
|
ape210k
|
A travel company leases a bus for 17 , 2729 yuan per day, with a limit of 448 passengers; a small bus for 2238 yuan per day, with a limit of 281 passengers. 1727 teachers and students from Yuying Primary School go to visit the history museum. What is the minimum cost if the above two kinds of buses are rented for 17 day?
|
<gadget id="calculator"> 3 * 2238 </gadget>
<output> 6_714 </output>
<gadget id="calculator"> 1000 + 6_714 </gadget>
<output> 7_714 </output>
<result> 7_714 </result>
|
ape210k__00150586
|
Cars A and B start from two places at the same time and drive towards each other. The speed ratio of the two cars is 4:5. When they meet, the distance traveled by car B is the same as that of car A.
|
<gadget id="calculator">5 / 4</gadget>
<output>5/4 = around 1.25</output>
<result>5/4 = around 1.25</result>
|
5/4
|
ape210k
|
Cars A and B start from two places at the same time and drive towards each other. The speed ratio of the two cars is 28 : 67 . When they meet, the distance traveled by car B is the same as that of car A.
|
<gadget id="calculator"> 67 / 28 </gadget>
<output> 67/28 </output>
<result> 67/28 </result>
|
ape210k__00258848
|
Xiao Ming and his classmates measured that the shadow of the flagpole was 5 meters long and the shadow of the meter stick was 40 centimeters long. How many meters is the flagpole high? (Solve with ratio)
|
<gadget id="calculator">100 * 5</gadget>
<output>500</output>
<gadget id="calculator">500 / 40</gadget>
<output>25/2 = around 12.5</output>
<result>25/2 = around 12.5</result>
|
25/2
|
ape210k
|
Xiao Ming and his classmates measured that the shadow of the flagpole was 21 meters long and the shadow of the meter stick was 260 centimeters long. How many meters is the flagpole high? (Solve with ratio)
|
<gadget id="calculator"> 100 * 21 </gadget>
<output> 2_100 </output>
<gadget id="calculator"> 2_100 / 260 </gadget>
<output> 105/13 </output>
<result> 105/13 </result>
|
math_qa__nIh03jNDvQ3Twq0B
|
A semicircular cubicle has a radius of 14. What is the approximate perimeter of the cubicle? Choose the correct choice from the following answers
A) 55 B) 86 C) 25 D) 72 E) 35
|
<gadget id="calculator">pi * 14</gadget>
<output>14*pi = around 43.982297</output>
<gadget id="calculator">2 * 14</gadget>
<output>28</output>
<gadget id="calculator">(14*pi) + 28</gadget>
<output>28 + 14*pi = around 71.982297</output>
<result>D</result>
|
D
|
math_qa
|
A semicircular cubicle has a radius of 299 . What is the approximate perimeter of the cubicle? Choose the correct choice from the following answers
A) 748 B) 6 C) 187 D) 598 + 299*pi E) 838
|
<gadget id="calculator">pi * 299 </gadget>
<output> 299*pi </output>
<gadget id="calculator"> 2 * 299 </gadget>
<output> 598 </output>
<gadget id="calculator">( 299 *pi) + 598 </gadget>
<output> 598 + 299*pi </output>
<result>D</result>
|
math_qa__gOIIIYeu4jJsS7Eh
|
If 3^20 x 2^20 =6^n what is the value of n? Choose the correct answer: A) 18 B) 20 C) 22 D) 24 E) 26
|
<gadget id="calculator">2 ** 20</gadget>
<output>1_048_576</output>
<gadget id="calculator">3 ** 20</gadget>
<output>3_486_784_401</output>
<gadget id="calculator">1_048_576 * 3_486_784_401</gadget>
<output>3_656_158_440_062_976</output>
<gadget id="calculator">log(3_656_158_440_062_976)</gadget>
<output>log(3656158440062976) = around 35.835189</output>
<gadget id="calculator">log(6)</gadget>
<output>log(6) = around 1.791759</output>
<gadget id="calculator">log(3656158440062976) / log(6)</gadget>
<output>log(3656158440062976)/log(6) = around 20</output>
<result>B</result>
|
B
|
math_qa
|
If 3 ^ 20 x 2 ^ 20 = 6 ^n what is the value of n? Choose the correct answer: A) 18 B) 20 C) 22 D) 24 E) 26
|
<gadget id="calculator"> 2 ** 20 </gadget>
<output> 1048576 </output>
<gadget id="calculator"> 3 ** 20 </gadget>
<output> 3486784401 </output>
<gadget id="calculator"> 1048576 * 3486784401 </gadget>
<output> 3656158440062976 </output>
<gadget id="calculator">log( 3656158440062976 )</gadget>
<output>log( 3656158440062976 ) = around 35.835189 </output>
<gadget id="calculator">log( 6 )</gadget>
<output>log( 6 ) = around 1.791759 </output>
<gadget id="calculator">log( 3656158440062976 ) / log( 6 )</gadget>
<output>log( 3656158440062976 )/log( 6 ) = around 20 </output>
<result>B</result>
|
ape210k__00632179
|
Cars A and B are traveling towards each other from places A and B at the same time. When A arrives at point B, car B is still 40 kilometers away from point A. When car B arrives at point A, car A exceeds point B by 60 kilometers. How many kilometers are there between A and B?
|
<gadget id="calculator">60 / 40</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">1 / (3/2)</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">40 / (1/3)</gadget>
<output>120</output>
<result>120</result>
|
120
|
ape210k
|
Cars A and B are traveling towards each other from places A and B at the same time. When A arrives at point B, car B is still 152 kilometers away from point A. When car B arrives at point A, car A exceeds point B by 94 kilometers. How many kilometers are there between A and B?
|
<gadget id="calculator"> 94 / 152 </gadget>
<output> 47/76 </output>
<gadget id="calculator"> 1 / ( 3 / 2 )</gadget>
<output> 2/3 </output>
<gadget id="calculator"> 1 - ( 2 / 3 )</gadget>
<output> 1/3 </output>
<gadget id="calculator"> 152 / ( 1 / 3 )</gadget>
<output> 456 </output>
<result> 456 </result>
|
ape210k__00593055
|
If 3x+6=18, then 4x/8=how much.
|
<gadget id="calculator">18 - 6</gadget>
<output>12</output>
<gadget id="calculator">12 / 3</gadget>
<output>4</output>
<gadget id="calculator">12 / 3 / 8</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">4 * (1/2)</gadget>
<output>2</output>
<result>2</result>
|
2
|
ape210k
|
If 84 x+ 6 = 251 , then 51 x/ 70 =how much.
|
<gadget id="calculator"> 251 - 6 </gadget>
<output> 245 </output>
<gadget id="calculator"> 245 / 84 </gadget>
<output> 35/12 </output>
<gadget id="calculator"> 245 / 84 / 70 </gadget>
<output> 1/24 </output>
<gadget id="calculator"> 35/12 * ( 1 / 35/24 )</gadget>
<output> 35/24 </output>
<result> 35/24 </result>
|
ape210k__00482470
|
Distribute (3/4) of a cake to 6 children on average, how much of the cake each person gets.
|
<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">(3/4) / 6</gadget>
<output>1/8 = around 0.125</output>
<result>1/8 = around 0.125</result>
|
1/8
|
ape210k
|
Distribute ( 5 / 86 ) of a cake to 34 children on average, how much of the cake each person gets.
|
<gadget id="calculator"> 5 / 86 </gadget>
<output> 5/86 </output>
<gadget id="calculator">( 5 / 86 ) / 34 </gadget>
<output> 5/2_924 </output>
<result> 5/2_924 </result>
|
ape210k__00332095
|
Draw 6 straight lines on a piece of paper, how many points of intersection can there be at most?
|
<gadget id="calculator">1 + 2</gadget>
<output>3</output>
<gadget id="calculator">1 + 2 + 3 + 4 + 5</gadget>
<output>15</output>
<result>15</result>
|
15
|
ape210k
|
Draw 80 straight lines on a piece of paper, how many points of intersection can there be at most?
|
<gadget id="calculator"> 1 + 2 </gadget>
<output> 3 </output>
<gadget id="calculator"> 1 + 2 + 3 + 4 + 5 </gadget>
<output> 15 </output>
<result> 15 </result>
|
ape210k__00299526
|
There are 5 medium envelopes in a large envelope, and 6 small envelopes in each medium envelope. How many envelopes are there in total?
|
<gadget id="calculator">5 * 6</gadget>
<output>30</output>
<gadget id="calculator">1 + 5 + 30</gadget>
<output>36</output>
<result>36</result>
|
36
|
ape210k
|
There are 29 medium envelopes in a large envelope, and 31 small envelopes in each medium envelope. How many envelopes are there in total?
|
<gadget id="calculator"> 29 * 31 </gadget>
<output> 899 </output>
<gadget id="calculator"> 1 + 29 + 899 </gadget>
<output> 929 </output>
<result> 929 </result>
|
ape210k__00234403
|
If the length of an arc accounts for (5/12) of the circumference of the circle, what is the central angle subtended by this arc?
|
<gadget id="calculator">5 / 12</gadget>
<output>5/12 = around 0.416667</output>
<gadget id="calculator">360 * (5/12)</gadget>
<output>150</output>
<result>150</result>
|
150
|
ape210k
|
If the length of an arc accounts for ( 90 / 444 ) of the circumference of the circle, what is the central angle subtended by this arc?
|
<gadget id="calculator"> 90 / 444 </gadget>
<output> 15/74 </output>
<gadget id="calculator"> 360 * ( 90 / 444 )</gadget>
<output> 2_700/37 </output>
<result> 2_700/37 </result>
|
ape210k__00259691
|
The numerator of (5/8) is multiplied by 4, how much should the denominator be increased to keep the size of the fraction constant
|
<gadget id="calculator">32 - 8</gadget>
<output>24</output>
<result>24</result>
|
24
|
ape210k
|
The numerator of ( 100 / 15 ) is multiplied by 49 , how much should the denominator be increased to keep the size of the fraction constant
|
<gadget id="calculator"> 32 - 15 </gadget>
<output> 17 </output>
<result> 17 </result>
|
gsm8k__JQaQTetqnbhpoSNY
|
If 1 ounce of Dawn liquid soap can make 200,000 bubbles, and Dr. Bronner's liquid soap can make twice as many bubbles per ounce as Dawn liquid soap, then how many bubbles can be made from one half ounce of an equal mixture of Dawn and Dr. Bronner's liquid soaps?
|
One half of a 1/2-ounce liquid is (1/2)*(1/2)=1/4 ounces.
1/4 ounce of Dawn liquid soap can make (1/4)*200,000=
<gadget id="calculator">(1/4)*200000</gadget>
<output>50_000</output>
50,000 bubbles.
1/4 ounce of Dr. Bronner's liquid soap can make 2*(1/4)*200,000=100,000 bubbles.
Therefore, a half ounce of an equal mixture of Dawn and Dr. Bronner's liquid soaps can make 50,000+100,000=
<gadget id="calculator">50000+100000</gadget>
<output>150_000</output>
150,000 bubbles.
<result>150_000</result>
|
150_000
|
gsm8k
|
If 1 ounce of Dawn liquid soap can make 200 , 000 bubbles, and Dr. Bronner's liquid soap can make twice as many bubbles per ounce as Dawn liquid soap, then how many bubbles can be made from one half ounce of an equal mixture of Dawn and Dr. Bronner's liquid soaps?
|
One half of a 1 / 2 -ounce liquid is ( 1 / 2 )*( 1 / 2 )= 1 / 4 ounces. 1 / 4 ounce of Dawn liquid soap can make ( 1 / 4 )* 200 , 000 =
<gadget id="calculator">( 1 / 4 )* 200000 </gadget>
<output> 50000 </output> 50 , 000 bubbles. 1 / 4 ounce of Dr. Bronner's liquid soap can make 2 *( 1 / 4 )* 200 , 000 = 100 , 000 bubbles.
Therefore, a half ounce of an equal mixture of Dawn and Dr. Bronner's liquid soaps can make 50 , 000 + 100 , 000 =
<gadget id="calculator"> 50000 + 100000 </gadget>
<output> 150000 </output> 150 , 000 bubbles.
<result> 150000 </result>
|
ape210k__01209263
|
The tree planting team planted a batch of trees and completed it in 3 days. A total of 113 trees were planted in the first 2 days, and 55 trees were planted in the third day. How many trees does the tree planting group plant on average every day?
|
<gadget id="calculator">113 + 55</gadget>
<output>168</output>
<gadget id="calculator">168 / 3</gadget>
<output>56</output>
<result>56</result>
|
56
|
ape210k
|
The tree planting team planted a batch of trees and completed it in 71 days. A total of 2157 trees were planted in the first 34 days, and 264 trees were planted in the third day. How many trees does the tree planting group plant on average every day?
|
<gadget id="calculator"> 2157 + 264 </gadget>
<output> 2_421 </output>
<gadget id="calculator"> 2_421 / 71 </gadget>
<output> 2_421/71 </output>
<result> 2_421/71 </result>
|
ape210k__00418623
|
A shoe store bought a batch of sports shoes, sold 200 pairs in the first week, and sold more (1/4) in the second week than in the first week. How many pairs were sold in the second week?
|
<gadget id="calculator">1 / 4</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">200 * (5/4)</gadget>
<output>250</output>
<result>250</result>
|
250
|
ape210k
|
A shoe store bought a batch of sports shoes, sold 9069 pairs in the first week, and sold more ( 36 / 69 ) in the second week than in the first week. How many pairs were sold in the second week?
|
<gadget id="calculator"> 36 / 69 </gadget>
<output> 12/23 </output>
<gadget id="calculator"> 36 + ( 36 / 69 )</gadget>
<output> 840/23 </output>
<gadget id="calculator"> 9069 * ( 5 / 69 )</gadget>
<output> 15_115/23 </output>
<result> 15_115/23 </result>
|
ape210k__00542138
|
A cylinder has a base circumference of 15.7 centimeters and a volume of 392.5 cubic decimeters. What is the height of the cylinder in centimeters?
|
<gadget id="calculator">15.7 / 3.14 / 2</gadget>
<output>2.5</output>
<gadget id="calculator">2.5 ** 2</gadget>
<output>6.25</output>
<gadget id="calculator">3.14 * 6.25</gadget>
<output>19.625</output>
<gadget id="calculator">1_000 / 19.625</gadget>
<output>50.955414</output>
<gadget id="calculator">392.5 * 50.955414</gadget>
<output>19_999.999995</output>
<result>19_999.999995</result>
|
19_999.999995
|
ape210k
|
A cylinder has a base circumference of 4.82 centimeters and a volume of 75.74 cubic decimeters. What is the height of the cylinder in centimeters?
|
<gadget id="calculator"> 4.82 / 3.14 / 2 </gadget>
<output> 0.767516 </output>
<gadget id="calculator"> 0.767516 ** 2 </gadget>
<output> 0.589081 </output>
<gadget id="calculator"> 3.14 * 0.589081 </gadget>
<output> 1.849714 </output>
<gadget id="calculator"> 1000 / 1.849714 </gadget>
<output> 540.624118 </output>
<gadget id="calculator"> 75.74 * 540.624118 </gadget>
<output> 40946.870697 </output>
<result> 40946.870697 </result>
|
ape210k__00382369
|
□39/56, if the quotient is two digits, fill in the minimum number in □.
|
<result>6</result>
|
6
|
ape210k
|
□ 362 / 243 , if the quotient is two digits, fill in the minimum number in □.
|
<result> 6 </result>
|
ape210k__00579947
|
In the women's single skating event of the 2013 London World Figure Skating Championships, Italian player Carolina won the runner-up with a total score of 197.89, 1.42 points more than Japanese player Mao Asada who won the third place. The total score is 21.84 points more than the third runner-up Mao Asada. What is the total score of Korean player Kim Yuna?
|
<gadget id="calculator">197.89 - 1.42</gadget>
<output>196.47</output>
<gadget id="calculator">196.47 + 21.84</gadget>
<output>218.31</output>
<result>218.31</result>
|
218.31
|
ape210k
|
In the women's single skating event of the 19570 London World Figure Skating Championships, Italian player Carolina won the runner-up with a total score of 9837.45 , 11.49 points more than Japanese player Mao Asada who won the third place. The total score is 579.21 points more than the third runner-up Mao Asada. What is the total score of Korean player Kim Yuna?
|
<gadget id="calculator"> 9837.45 - 11.49 </gadget>
<output> 9825.96 </output>
<gadget id="calculator"> 9825.96 + 579.21 </gadget>
<output> 10405.17 </output>
<result> 10405.17 </result>
|
ape210k__00333233
|
Liangliang's weight is 32 kg, and her mother's weight is 7 kg less than double Liangliang's. How many kilograms does the mother weigh?
|
<gadget id="calculator">32 * 2</gadget>
<output>64</output>
<gadget id="calculator">64 - 7</gadget>
<output>57</output>
<result>57</result>
|
57
|
ape210k
|
Liangliang's weight is 512 kg, and her mother's weight is 25 kg less than double Liangliang's. How many kilograms does the mother weigh?
|
<gadget id="calculator"> 512 * 2 </gadget>
<output> 1_024 </output>
<gadget id="calculator"> 1_024 - 25 </gadget>
<output> 999 </output>
<result> 999 </result>
|
ape210k__01147607
|
Dahe Township has a bumper harvest of pears this year, with an annual output of 36,000 tons, an increase of 20% over last year. How many tons of pears does Dahe want to produce last year?
|
<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">3.6 / (6/5)</gadget>
<output>3</output>
<result>3</result>
|
3
|
ape210k
|
Dahe Township has a bumper harvest of pears this year, with an annual output of 708 , 6653 tons, an increase of 967 % over last year. How many tons of pears does Dahe want to produce last year?
|
<gadget id="calculator"> 967 / 100 </gadget>
<output> 967/100 </output>
<gadget id="calculator"> 1 + ( 1 / 5 )</gadget>
<output> 6/5 </output>
<gadget id="calculator"> 3.6 / ( 6 / 5 )</gadget>
<output> 3 </output>
<result> 3 </result>
|
ape210k__00246395
|
There is a comic book divided into two volumes. It is known that the page numbers of the first and second volumes share 783 numbers, and the first volume is 5 pages shorter than the second volume. So, how many pages are there in the first and second volumes of this comic book?
|
<gadget id="calculator">5 * 3</gadget>
<output>15</output>
<gadget id="calculator">783 - 15</gadget>
<output>768</output>
<gadget id="calculator">768 / 2</gadget>
<output>384</output>
<gadget id="calculator">9 * 1</gadget>
<output>9</output>
<gadget id="calculator">2 * 90</gadget>
<output>180</output>
<gadget id="calculator">384 - 9 - 180</gadget>
<output>195</output>
<gadget id="calculator">195 / 3</gadget>
<output>65</output>
<gadget id="calculator">65 + 9 + 90</gadget>
<output>164</output>
<gadget id="calculator">164 + 5</gadget>
<output>169</output>
<gadget id="calculator">164 + 169</gadget>
<output>333</output>
<result>333</result>
|
333
|
ape210k
|
There is a comic book divided into two volumes. It is known that the page numbers of the first and second volumes share 1672 numbers, and the first volume is 69 pages shorter than the second volume. So, how many pages are there in the first and second volumes of this comic book?
|
<gadget id="calculator"> 69 * 3 </gadget>
<output> 207 </output>
<gadget id="calculator"> 1672 - 207 </gadget>
<output> 1_465 </output>
<gadget id="calculator"> 1_465 / 2 </gadget>
<output> 1_465/2 </output>
<gadget id="calculator"> 9 * 1 </gadget>
<output> 9 </output>
<gadget id="calculator"> 2 * 90 </gadget>
<output> 180 </output>
<gadget id="calculator"> 1_465/2 - 9 - 180 </gadget>
<output> 1_087/2 </output>
<gadget id="calculator"> 1_087/2 / 3 </gadget>
<output> 1_087/6 </output>
<gadget id="calculator"> 1_087/6 + 9 + 90 </gadget>
<output> 1_681/6 </output>
<gadget id="calculator"> 1_681/6 + 69 </gadget>
<output> 2_095/6 </output>
<gadget id="calculator"> 1_681/6 + 2_095/6 </gadget>
<output> 1_888/3 </output>
<result> 1_888/3 </result>
|
ape210k__00471319
|
Two trains depart from A and B respectively at the same time, and the distance between the two trains is 230 kilometers after 5 hours. Car A travels 110 kilometers per hour, and car B travels 100 kilometers per hour. What is the distance in kilometers between A and B?
|
<gadget id="calculator">110 + 100</gadget>
<output>210</output>
<gadget id="calculator">210 * 5</gadget>
<output>1_050</output>
<gadget id="calculator">1_050 + 230</gadget>
<output>1_280</output>
<result>1_280</result>
|
1_280
|
ape210k
|
Two trains depart from A and B respectively at the same time, and the distance between the two trains is 6462 kilometers after 6 hours. Car A travels 2982 kilometers per hour, and car B travels 2044 kilometers per hour. What is the distance in kilometers between A and B?
|
<gadget id="calculator"> 2982 + 2044 </gadget>
<output> 5_026 </output>
<gadget id="calculator"> 5_026 * 6 </gadget>
<output> 30_156 </output>
<gadget id="calculator"> 30_156 + 6462 </gadget>
<output> 36_618 </output>
<result> 36_618 </result>
|
ape210k__00602554
|
The diameter of the small circle is (3/8) the diameter of the large circle, and the circumference of the large circle is 25.12dm. What is the area of the small circle in square decimeters?
|
<gadget id="calculator">25.12 / 3.14 / 2</gadget>
<output>4</output>
<gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">4 * (3/8)</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)</gadget>
<output>7.065</output>
<result>7.065</result>
|
7.065
|
ape210k
|
The diameter of the small circle is ( 1 / 1 ) the diameter of the large circle, and the circumference of the large circle is 9.0 dm. What is the area of the small circle in square decimeters?
|
<gadget id="calculator"> 9.0 / 3.14 / 2 </gadget>
<output> 1.433121 </output>
<gadget id="calculator"> 1 / 1 </gadget>
<output> 1 </output>
<gadget id="calculator"> 1.433121 * ( 1 / 1 )</gadget>
<output> 1.433121 </output>
<gadget id="calculator">( 1 / 2 ) ** 2 </gadget>
<output> 9 / 1.433121 = around 2.25 </output>
<gadget id="calculator"> 3.14 * ( 9 / 1.433121 )</gadget>
<output> 19.7192 </output>
<result> 19.7192 </result>
|
ape210k__00216784
|
A semicircular object has a diameter of 10 cm, what is its circumference in cm?
|
<gadget id="calculator">10 / 2</gadget>
<output>5</output>
<gadget id="calculator">3.14 * 5</gadget>
<output>15.7</output>
<gadget id="calculator">15.7 + 10</gadget>
<output>25.7</output>
<result>25.7</result>
|
25.7
|
ape210k
|
A semicircular object has a diameter of 410 cm, what is its circumference in cm?
|
<gadget id="calculator"> 410 / 2 </gadget>
<output> 205 </output>
<gadget id="calculator"> 3.14 * 205 </gadget>
<output> 643.7 </output>
<gadget id="calculator"> 643.7 + 410 </gadget>
<output> 1053.7 </output>
<result> 1053.7 </result>
|
ape210k__00767881
|
Two road repair teams, A and B, work together to build a road. Team A builds 800 meters a day, and Team B builds 1,000 meters a day. At first, one team works alone, and then the two teams work together. It takes 10 days to complete the road. It is known that (3/7) team B built this road together, how many meters is the total length of this road?
|
<gadget id="calculator">800 * 10</gadget>
<output>8_000</output>
<gadget id="calculator">3 / 7</gadget>
<output>3/7 = around 0.428571</output>
<gadget id="calculator">1 - (3/7)</gadget>
<output>4/7 = around 0.571429</output>
<gadget id="calculator">8_000 / (4/7)</gadget>
<output>14_000</output>
<result>14_000</result>
|
14_000
|
ape210k
|
Two road repair teams, A and B, work together to build a road. Team A builds 800 meters a day, and Team B builds 1 , 000 meters a day. At first, one team works alone, and then the two teams work together. It takes 10 days to complete the road. It is known that ( 3 / 7 ) team B built this road together, how many meters is the total length of this road?
|
<gadget id="calculator"> 800 * 10 </gadget>
<output> 8000 </output>
<gadget id="calculator"> 3 / 7 </gadget>
<output> 3 / 7 = around 0.428571 </output>
<gadget id="calculator"> 1 - ( 3 / 7 )</gadget>
<output> 4 / 7 = around 0.571429 </output>
<gadget id="calculator"> 8000 / ( 4 / 7 )</gadget>
<output> 14000 </output>
<result> 14000 </result>
|
ape210k__01216741
|
Grandma bought 8 boxes of apples, each weighing 10 kilograms, and 8 boxes of pears, each weighing 9 kilograms. How many kilograms of fruit did you buy in total?
|
<gadget id="calculator">10 * 8</gadget>
<output>80</output>
<gadget id="calculator">9 * 8</gadget>
<output>72</output>
<gadget id="calculator">80 + 72</gadget>
<output>152</output>
<result>152</result>
|
152
|
ape210k
|
Grandma bought 7 boxes of apples, each weighing 402 kilograms, and 7 boxes of pears, each weighing 88 kilograms. How many kilograms of fruit did you buy in total?
|
<gadget id="calculator"> 402 * 7 </gadget>
<output> 2_814 </output>
<gadget id="calculator"> 88 * 7 </gadget>
<output> 616 </output>
<gadget id="calculator"> 2_814 + 616 </gadget>
<output> 3_430 </output>
<result> 3_430 </result>
|
ape210k__00163805
|
In the labor class, the students learn to stir-fry vegetables. About 0.006 grams of salt is needed for every kilogram of green vegetables. Now they want to stir-fry 500 grams of green vegetables, how many grams of salt should be added?
|
<gadget id="calculator">500 / 1_000</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">0.006 * (1/2)</gadget>
<output>0.003</output>
<result>0.003</result>
|
0.003
|
ape210k
|
In the labor class, the students learn to stir-fry vegetables. About 2.84 grams of salt is needed for every kilogram of green vegetables. Now they want to stir-fry 9984 grams of green vegetables, how many grams of salt should be added?
|
<gadget id="calculator"> 9984 / 1000 </gadget>
<output> 1_248/125 </output>
<gadget id="calculator"> 2.84 * ( 1 / 2 )</gadget>
<output> 1.42 </output>
<result> 1.42 </result>
|
ape210k__00118954
|
There is a bottle of milk, Xiaoming drank (3/5) of this bottle of milk, Xiaohong drank (1/5) of this bottle of milk, what percentage of this bottle of milk did Xiaohong drink less than Xiaoming?
|
<gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(3/5) - (1/5)</gadget>
<output>2/5 = around 0.4</output>
<result>2/5 = around 0.4</result>
|
2/5
|
ape210k
|
There is a bottle of milk, Xiaoming drank ( 76 / 67 ) of this bottle of milk, Xiaohong drank ( 51 / 67 ) of this bottle of milk, what percentage of this bottle of milk did Xiaohong drink less than Xiaoming?
|
<gadget id="calculator"> 76 / 67 </gadget>
<output> 76/67 </output>
<gadget id="calculator"> 51 / 67 </gadget>
<output> 51/67 </output>
<gadget id="calculator">( 76 / 67 ) - ( 51 / 67 )</gadget>
<output> 25/67 </output>
<result> 25/67 </result>
|
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