id
stringlengths 12
12
| split
stringclasses 1
value | question
stringlengths 42
985
| answer_tagged
stringlengths 50
1.43k
| final_answer
stringclasses 893
values | metadata
dict |
|---|---|---|---|---|---|
train-004100
|
train
|
A 26-mile circular marathon has four checkpoints inside it. The first is one mile from the start line, and the last checkpoint is one mile from the finish line. The checkpoints have equal spacing between them. How many miles apart are each of the consecutive checkpoints between the start-finish line?
|
The checkpoints are 1 mile from the start and finish, so they are spaced along 26 - 1 - 1 = 24 miles.
There are 4 equally spaced checkpoints, so the checkpoints are 24 / 4 = <calculate step="1">24/4</calculate><result step="1">6</result> miles apart.
#### 6
|
6
|
{
"num_steps": 1,
"steps": [
{
"step": 1,
"expr": "24/4",
"value": "6"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004101
|
train
|
Buffy has a sailboat with a planing hull that she sails in the Gulf of Mexico. Under optimal wind conditions, the use of two sails brings the ship to the speed of 50 knots, whereas under the same conditions, the use of one sail brings her ship to the speed of 25 knots. A knot is a nautical term for speed equal to 1 nautical mile per hour, and one nautical mile equals 1.15 land miles. If she travels in her sailboat under optimal wind conditions for 4 hours with one sail and then for another 4 hours with two sails, what is the total distance, in land miles, that she will travel?
|
Under optimal wind conditions, if her ship sails 4 hours with 1 sail, she will travel 4*25=<calculate step="1">4*25</calculate><result step="1">100</result> nautical miles.
Under optimal wind conditions, if her ship sails 4 hours with 2 sails, she will travel 4*50=<calculate step="2">4*50</calculate><result step="2">200</result> nautical miles.
In total, she will travel 100+200=<calculate step="3">100+200</calculate><result step="3">300</result> nautical miles.
If 1 nautical mile is equivalent to 1.15 land miles, then Buffy will travel 300*1.15=<calculate step="4">300*1.15</calculate><result step="4">345</result> land miles.
#### 345
|
345
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "4*25",
"value": "100"
},
{
"step": 2,
"expr": "4*50",
"value": "200"
},
{
"step": 3,
"expr": "100+200",
"value": "300"
},
{
"step": 4,
"expr": "300*1.15",
"value": "345"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004102
|
train
|
You can lower the price by 20% if you buy more than fifteen units of iPhone cases. If you pay $500 to buy 18 units, what is the original price?
|
If you buy 18 units, the percentage of the total price drops to 100% - 20% = 80%
If 80% is equal to $500, then 100% is equals 100%/80% * $500 = $625
#### 625
|
625
|
{
"num_steps": 0,
"steps": [],
"skipped_reasons": [],
"warnings": []
}
|
train-004103
|
train
|
Abraham is buying some toiletries and creates a budget of $60 for his shopping. He buys 4 shower gels for $4 each, a tube of toothpaste for $3, and a box of laundry detergent. If he has $30 remaining in his budget, how much money, in dollars, did Abraham spend on the box of laundry detergent?
|
Shower gel costs Abraham 4 shower gels * $4 = $<calculate step="1">4*4</calculate><result step="1">16</result>.
So the shower gel and toothpaste combined have cost him $16 + $3 = $<calculate step="2">16+3</calculate><result step="2">19</result>.
He had money remaining in his budget so the total cost of his shopping must have been $60 – $30 = $<calculate step="3">60-30</calculate><result step="3">30</result>.
The box of laundry detergent therefore cost him $30 – $19 = $<calculate step="4">30-19</calculate><result step="4">11</result>.
#### 11
|
11
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "4*4",
"value": "16"
},
{
"step": 2,
"expr": "16+3",
"value": "19"
},
{
"step": 3,
"expr": "60-30",
"value": "30"
},
{
"step": 4,
"expr": "30-19",
"value": "11"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004104
|
train
|
Annie goes to school. Today is her birthday, so Annie decided to buy some sweets for her colleagues. Every classmate got 2 candies. In the end, Annie got left with 12 candies. If there are 35 people in Annie's class in total, how much did Annie spend on candies, if one candy costs $0.1?
|
There are 35 people in Annie's class, which means, she has 35 - 1 = <calculate step="1">35-1</calculate><result step="1">34</result> classmates.
Every classmate got 2 candies, so in total Annie gave out 34 * 2 = <calculate step="2">34*2</calculate><result step="2">68</result> candies.
In the beginning she had 68 + 12 = <calculate step="3">68+12</calculate><result step="3">80</result> candies.
One candy costs $0.1, so Annie spend 80 * 0.1 = $<calculate step="4">80*0.1</calculate><result step="4">8</result> on candies.
#### 8
|
8
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "35-1",
"value": "34"
},
{
"step": 2,
"expr": "34*2",
"value": "68"
},
{
"step": 3,
"expr": "68+12",
"value": "80"
},
{
"step": 4,
"expr": "80*0.1",
"value": "8"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004105
|
train
|
Andrew eats 14 donuts on Monday, and half as many on Tuesday. On Wednesday Andrew eats 4 times as many as he did on Monday. How many donuts did Andrew eat total in the three days?
|
Monday:14
Tuesday:14/2=7
Wednesday:4(7)=28
Total:14+7+28=<calculate step="1">14+7+28</calculate><result step="1">49</result> donuts
#### 49
|
49
|
{
"num_steps": 1,
"steps": [
{
"step": 1,
"expr": "14+7+28",
"value": "49"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004106
|
train
|
Solomon collected three times as many cans as Juwan. Levi collected half of what Juwan collected. Solomon collected 66 cans. How many cans did the boys collect in all?
|
Solomon is 3*Juwan so Juwan is 1/3 of Solomon = 66/3 = 22
Levi collected half of 22 = <calculate step="1">22-11</calculate><result step="1">11</result>
Combined the boys collected 66 + 22 + 11 = <calculate step="2">66+22+11</calculate><result step="2">99</result> cans in all.
#### 99
|
99
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "22-11",
"value": "11"
},
{
"step": 2,
"expr": "66+22+11",
"value": "99"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004107
|
train
|
Kimiko watches four YouTube videos. The first video is 2 minutes long, the second video is 4 minutes and 30 seconds, and the last two videos are equal in length. If she spends a total of 510 seconds watching YouTube, how many seconds long was each of the last two videos?
|
First convert the length of the first video to seconds: 2 minutes * 60 seconds/minute = <calculate step="1">2*60</calculate><result step="1">120</result> seconds
Then convert the length of the second video to seconds: 4 minutes * 60 seconds/minute + 30 seconds = 240 seconds + 30 seconds = <calculate step="2">4*60+30</calculate><result step="2">270</result> seconds
Now subtract the length of the first two videos from the total time Kimiko spent watching to find the combined length of the last two videos: 510 seconds - 120 seconds - 270 seconds = <calculate step="3">510-120-270</calculate><result step="3">120</result> seconds
Now divide the combined length by the number of videos to find each video's length: 120 seconds / 2 = <calculate step="4">120/2</calculate><result step="4">60</result> seconds
#### 60
|
60
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "2*60",
"value": "120"
},
{
"step": 2,
"expr": "4*60+30",
"value": "270"
},
{
"step": 3,
"expr": "510-120-270",
"value": "120"
},
{
"step": 4,
"expr": "120/2",
"value": "60"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004108
|
train
|
Justin wanted to watch a movie that came on at 8 pm that night. His parents agreed as long as he finished his homework and chores before the movie started. He wouldn't be home until 5 pm because of baseball practice. He knew dinner would take 45 minutes, and he figured his homework would take 30 minutes to finish. He needed to clean his room, which would take 30 minutes; then take out the trash, which would take about 5 minutes; and empty the dishwasher, which would take another 10 minutes. What was the latest time that Justin could start his chores and homework to be done by 8 pm to watch his movie?
|
Justin would spend 45 minutes at dinner, 30 minutes doing homework, 30 minutes cleaning his room, 5 minutes on the trash and 10 on dishes for a total of 45+30+30+5+10 = 120
Justin knows that 60min is the same as 1 hour. He has 120 minutes of work so 120/60 = <calculate step="1">120/60</calculate><result step="1">2</result> hours
His movie comes on at 8 pm and he has 2 hours of chores so 8-2 = <calculate step="2">8-2</calculate><result step="2">6</result> pm is the latest time he could start his chores
#### 6
|
6
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "120/60",
"value": "2"
},
{
"step": 2,
"expr": "8-2",
"value": "6"
}
],
"skipped_reasons": [
{
"expr": "45+30+30+5+10",
"reason": "too_deep:6"
}
],
"warnings": []
}
|
train-004109
|
train
|
Kristine traveled to Paris in France to visit her friend. On the way, she has driven a train for 300 km and a bus for half that distance. After arriving in the city, she had to take a cab and drove three times fewer kilometers than she rode the bus. How many kilometers in total had Kristine traveled to reach her destination?
|
Kristine traveled on the bus 300 km / 2 = <calculate step="1">300/2</calculate><result step="1">150</result> km.
With the cab, she had to drive 150 km / 3 = <calculate step="2">150/3</calculate><result step="2">50</result> km.
In total she had to cover 150 km + 50 km + 300 km = <calculate step="3">150+50+300</calculate><result step="3">500</result> km.
#### 500
|
500
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "300/2",
"value": "150"
},
{
"step": 2,
"expr": "150/3",
"value": "50"
},
{
"step": 3,
"expr": "150+50+300",
"value": "500"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004110
|
train
|
Michael buys his suit for $430 and shoes for $190. So, if he gets a $100 discount, what was the amount that he paid to the seller?
|
The amount before the deduction is $430 + $190 = $<calculate step="1">430+190</calculate><result step="1">620</result>.
The amount paid to the seller after the discount is $620 - $100 = $<calculate step="2">620-100</calculate><result step="2">520</result>.
#### 520
|
520
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "430+190",
"value": "620"
},
{
"step": 2,
"expr": "620-100",
"value": "520"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004111
|
train
|
Ali has a store that sells fruits and vegetables. He puts 23 kg of kidney apples, 37 kg of golden apples and 14 kg of Canada apples on the shelves. By noon, 36 kg of apples were sold. What is the mass of apples that he has left?
|
You first have to calculate the total mass of apples he had on the shelves, so you add the three kinds of apples: 23 kg + 37 kg + 14 kg = <calculate step="1">23+37+14</calculate><result step="1">74</result>kg
Since he sold 36 kg of apples, he still has: 74 kg – 36 kg = <calculate step="2">74-36</calculate><result step="2">38</result>kg
#### 38
|
38
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "23+37+14",
"value": "74"
},
{
"step": 2,
"expr": "74-36",
"value": "38"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004112
|
train
|
A farmer gets 20 pounds of bacon on average from a pig. He sells each pound for $6 at the monthly farmer’s market. This month’s pig is a runt that grew to only half the size of the average pig. How many dollars will the farmer make from the pig’s bacon?
|
The pig grew to half the size of the average pig, so it will produce 20 / 2 = <calculate step="1">20/2</calculate><result step="1">10</result> pounds of bacon.
The rancher will make 10 * 6 = $<calculate step="2">10*6</calculate><result step="2">60</result> from the pig’s bacon.
#### 60
|
60
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "20/2",
"value": "10"
},
{
"step": 2,
"expr": "10*6",
"value": "60"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004113
|
train
|
Nicholas bought six times as much fabric as Kenneth. If Kenneth paid $40 for an oz of fabric and bought 700oz, calculate the amount of money that Nicholas paid more than Kenneth for the fabric he bought.
|
If Kenneth bought 700oz of fabric at $40 per oz, he spent a total of 700*40 = $<calculate step="1">700*40</calculate><result step="1">28000</result>
Nicholas bought six times as much fabric as Kenneth, meaning Nicholas bought 6*700 = <calculate step="2">6*700</calculate><result step="2">4200</result>oz of fabric.
If an oz of fabric is sold at $40, Nicholas paid 4200*$40 =$<calculate step="3">4200*40</calculate><result step="3">168000</result> for the 4200oz of fabric.
The amount of money that Nicholas paid more than Kenneth for the fabric he bought is $168000-28000 = $<calculate step="4">168000-28000</calculate><result step="4">140000</result>.
#### 140000
|
140000
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "700*40",
"value": "28000"
},
{
"step": 2,
"expr": "6*700",
"value": "4200"
},
{
"step": 3,
"expr": "4200*40",
"value": "168000"
},
{
"step": 4,
"expr": "168000-28000",
"value": "140000"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004114
|
train
|
Kristin can run three times faster than Sarith. If Kristin runs 12 times around the adult football field and Sarith runs at the same time around the children's football field that is half the distance as the other field, how many laps did Sarith go around the children's football field?
|
Sarith would run around the adult football field, 12 laps / 3 = <calculate step="1">12/3</calculate><result step="1">4</result> laps.
So on the children's football field, she managed to run, 4 laps * 2 = <calculate step="2">4*2</calculate><result step="2">8</result> laps.
#### 8
|
8
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "12/3",
"value": "4"
},
{
"step": 2,
"expr": "4*2",
"value": "8"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004115
|
train
|
Linda was going to pass out homemade cookies to each of her 24 classmates on the last day of school. She wanted to give each student 10 cookies and wanted to make chocolate chip cookies and oatmeal raisin cookies. Each cookie recipe made exactly 4 dozen cookies. She was able to make 2 batches of chocolate chip cookies before running out of chocolate chips. She made 1 batch of oatmeal raisin cookies. How many more batches of cookies does Linda need to bake?
|
She has 24 classmates and wants to give each 10 cookies, so she needs to bake 24*10=<calculate step="1">24*10</calculate><result step="1">240</result> cookies
Each batch makes 4 dozen cookies so that means each batch has 4*12 = <calculate step="2">4*12</calculate><result step="2">48</result> cookies
She baked 2 batches of chocolate chip and one batch of oatmeal raisin so 2+1 = <calculate step="3">2+1</calculate><result step="3">3</result> batches
We know that each batch has 48 cookies so 3*48 = <calculate step="4">3*48</calculate><result step="4">144</result> cookies have been baked
She needs to have 240 cookies and has baked 144 so 240-144 = <<240-144=96>>96 cookies are needed
Again, each batch makes 48 cookies and we need 96 more cookies so 96/48 = <<96/48=2>>2 more batches are needed
#### 2
|
2
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "24*10",
"value": "240"
},
{
"step": 2,
"expr": "4*12",
"value": "48"
},
{
"step": 3,
"expr": "2+1",
"value": "3"
},
{
"step": 4,
"expr": "3*48",
"value": "144"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004116
|
train
|
Pierre decides to bring his mother out for ice cream. His treat. Each scoop is $2. If he gets 3 scoops and his mom gets 4, what is the total bill?
|
His ice cream is $6 because 3 x 2 = <calculate step="1">3*2</calculate><result step="1">6</result>
His mom's is $8 because 4 x 2 = <calculate step="2">4*2</calculate><result step="2">8</result>
The total is $14 because 6 + 8 = <calculate step="3">6+8</calculate><result step="3">14</result>
#### 14
|
14
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "3*2",
"value": "6"
},
{
"step": 2,
"expr": "4*2",
"value": "8"
},
{
"step": 3,
"expr": "6+8",
"value": "14"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004117
|
train
|
Ahmed is 11 years old and Fouad is 26 years old. In how many years will Fouad's age be double Ahmed's current age?
|
Let X be the number of years before Fouad's age doubles Ahmed's age.
So (X+11)*2 = X+26.
So X*2 + 22 = X + 26.
So X = 26 - 22 = <calculate step="1">26-22</calculate><result step="1">4</result> years.
#### 4
|
4
|
{
"num_steps": 1,
"steps": [
{
"step": 1,
"expr": "26-22",
"value": "4"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004118
|
train
|
Jessica is making an apple pie. She knows that each serving requires 1.5 apples and she has 12 quests. She plans to make 3 pies, which each contain 8 servings. If her guests finish all the pie, on average , how many apples does each guest eat?
|
She is making 24 servings because 3 x 8 = <calculate step="1">3*8</calculate><result step="1">24</result>
Each guest has 2 servings because 24 / 12 = <calculate step="2">24/12</calculate><result step="2">2</result>
Each guest has 3 apples because 2 x 1.5 = <calculate step="3">2*1.5</calculate><result step="3">3</result>
#### 3
|
3
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "3*8",
"value": "24"
},
{
"step": 2,
"expr": "24/12",
"value": "2"
},
{
"step": 3,
"expr": "2*1.5",
"value": "3"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004119
|
train
|
Grant has worked as a freelance math worker for the last three months. The first month he made 350$. The second month he made 50$ more than double he made the first month. The third month he quadrupled the sum of the first two months. How much did Grant make in his first three months total?
|
First Month:350$
Second Month:50+2(350)=750$
Third Month:4(350+750)=4400$
Total:350+750+4400=<calculate step="1">350+750+4400</calculate><result step="1">5500</result>$
#### 5500
|
5500
|
{
"num_steps": 1,
"steps": [
{
"step": 1,
"expr": "350+750+4400",
"value": "5500"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004120
|
train
|
Bridget counted 14 shooting stars in the night sky. Reginald counted two fewer shooting stars than did Bridget, but Sam counted four more shooting stars than did Reginald. How many more shooting stars did Sam count in the night sky than was the average number of shooting stars observed for the three of them?
|
Reginald counted two fewer shooting stars than did Bridget, or a total of 14-2=<calculate step="1">14-2</calculate><result step="1">12</result> shooting stars.
Sam counted 4 more shooting stars than did Reginald, or a total of 12+4=16 shooting stars.
The average number of shooting stars observed for the three of them was (14+12+16)/3 = <calculate step="2">14</calculate><result step="2">14</result> shooting stars.
Thus, Sam counted 16-14=2 more shooting stars than was the average number of shooting stars observed for the three of them.
#### 2
|
2
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "14-2",
"value": "12"
},
{
"step": 2,
"expr": "14",
"value": "14"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004121
|
train
|
Jackson is making pancakes with three ingredients: flour, milk and eggs. 20% of the bottles of milk are spoiled and the rest are fresh. 60% of the eggs are rotten. 1/4 of the cannisters of flour have weevils in them. If Jackson picks a bottle of milk, an egg and a canister of flour at random, what are the odds all three ingredients will be good?
|
First find the percentage of milk bottles that are fresh: 100% - 20% = 80%
Then find the percentage of the eggs that aren't rotten: 100% - 60% = 40%
Then find the fraction of the flour canisters that don't have weevils: 1 - 1/4 = 3/4
Divide the numerator of this fraction by the denominator and multiply by 100% to convert from a fraction to a percent: 3 / 4 * 100% = 75%
Then multiply the probability that each ingredient is good to find the probability they all are: 75% * 80% * 40% = 24%
#### 24
|
24
|
{
"num_steps": 0,
"steps": [],
"skipped_reasons": [],
"warnings": []
}
|
train-004122
|
train
|
Alex is working on a science project and has taken pictures of all of the plants in a park near her home. She wants to find out how many of each plant she has pictures of, but she has 960 pictures, and counting them all will take her a long time. Her teacher suggested she use a program on the computer that can automatically tell her what plant is in each picture and count them for her. It will take the program 2 minutes to process each picture. How many hours will it take to process all of the pictures?
|
Each picture will take 2 minutes to process. 2 x 960 = <calculate step="1">2*960</calculate><result step="1">1920</result>,920 minutes
There are 60 minutes in an hour. To find the hours, divide the minutes by 60. 1,920 / 60 = <calculate step="2">1920/60</calculate><result step="2">32</result> hours
#### 32
|
32
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "2*960",
"value": "1920"
},
{
"step": 2,
"expr": "1920/60",
"value": "32"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004123
|
train
|
The building has 42 storage units that are a total of 5040 square feet. Twenty of the units are 8 by 4 feet each. If the remaining units are all the same size, what is the area, in square feet, for one of the remaining units?
|
8 * 4 = <calculate step="1">8*4</calculate><result step="1">32</result> square feet
20 * 32 = <calculate step="2">20*32</calculate><result step="2">640</result> square feet
5040 - 640 = <calculate step="3">5040-640</calculate><result step="3">4400</result> square feet
There are 42 - 20 = <calculate step="4">42-20</calculate><result step="4">22</result> remaining units
4400/22 = <<4400/22=200>>200 square feet
One of the remaining units is 200 square feet.
#### 200
|
200
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "8*4",
"value": "32"
},
{
"step": 2,
"expr": "20*32",
"value": "640"
},
{
"step": 3,
"expr": "5040-640",
"value": "4400"
},
{
"step": 4,
"expr": "42-20",
"value": "22"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004124
|
train
|
Timmy, Tommy and Tina are filling up a kiddie pool in their backyard. Each has a pail they fill with water from a house before dumping it into the pool. If Timmy's pail holds twice as much water as Tommy's, and Tommy's holds 2 gallons more than Tina's, and Tina's is 4 gallons, how much water do the three of them fill the pool with after 3 trips each?
|
If Tina's pail holds 4 gallons and Tommy's holds 2 more gallons than hers, that means Tommy's holds 4+2=<calculate step="1">4+2</calculate><result step="1">6</result> gallons.
If Timmy's pail holds twice as much as Tommy's 6-gallon pail, that means it holds 6*2=<calculate step="2">6*2</calculate><result step="2">12</result> gallons.
Therefore, in 1 trip that means all three move a total of 4+6+12=<calculate step="3">4+6+12</calculate><result step="3">22</result> gallons.
In three trips, that means they would move a total of 22*3=<calculate step="4">22*3</calculate><result step="4">66</result> gallons
#### 66
|
66
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "4+2",
"value": "6"
},
{
"step": 2,
"expr": "6*2",
"value": "12"
},
{
"step": 3,
"expr": "4+6+12",
"value": "22"
},
{
"step": 4,
"expr": "22*3",
"value": "66"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004125
|
train
|
Alexa was on vacation for 3/4ths of the time it took Ethan to learn 12 fencing tricks. Joey spent half as much this time (that Ethan spent learning the tricks) learning to swim. If Alexa spent a week and 2 days on vacation, how many days did it take Joey to learn swimming?
|
There are 7 days in one week so one week and 2 days = 7+2 = <calculate step="1">7+2</calculate><result step="1">9</result> days
Call the time Ethan spends learning tricks e. Alexa spent 9 days on vacation which is 3/4ths of the time Ethan spent learning 12 fencing tricks, hence (3/4)e = 9 days
If we multiply both sides of this equation by 4/3, we get e = (4/3)*9 days = <calculate step="2">(4/3)*9</calculate><result step="2">12</result> days
Joey spent half of 12 days which is 12/2 = <calculate step="3">12/2</calculate><result step="3">6</result> days to learn swimming
#### 6
|
6
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "7+2",
"value": "9"
},
{
"step": 2,
"expr": "(4/3)*9",
"value": "12"
},
{
"step": 3,
"expr": "12/2",
"value": "6"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004126
|
train
|
Megan pays $16 for a shirt that costs $22 before sales. What is the amount of the discount?
|
Let x be the amount of the discount.
We have, 22 - x = $16
We change the writing of the equation:
22 - x + x = 16 + x
So, 22 = 16 + x
We then Remove 16 from both sides:
22 - 16 = 16 + x - 16
So, 22 - 16 = x
So, the amount of the discount is x = $<calculate step="1">6</calculate><result step="1">6</result>.
#### 6
|
6
|
{
"num_steps": 1,
"steps": [
{
"step": 1,
"expr": "6",
"value": "6"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004127
|
train
|
Daisy's Flower Shop sold 45 daisies on its first day. On their second day, they sold 20 more flowers than they did on their first day. On the third day, they sold 10 less than twice the flowers that were sold than on the second day. If the flower shop sold a total of 350 daisies for 4 days, how many daisies were sold on the 4th day?
|
The flower shop sold 45 + 20 = <calculate step="1">45+20</calculate><result step="1">65</result> daisies on the second day.
Twice the number of flowers on the second day is 65 x 2 = <calculate step="2">65*2</calculate><result step="2">130</result>.
So, the flower shop sold 130 - 10 = <calculate step="3">130-10</calculate><result step="3">120</result> daisies on the third day.
The total daisies sold for 3 days was 45 + 65 + 120 = <calculate step="4">45+65+120</calculate><result step="4">230</result>.
Therefore, 350 - 230 = <<350-230=120>>120 daisies were sold on the 4th day.
#### 120
|
120
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "45+20",
"value": "65"
},
{
"step": 2,
"expr": "65*2",
"value": "130"
},
{
"step": 3,
"expr": "130-10",
"value": "120"
},
{
"step": 4,
"expr": "45+65+120",
"value": "230"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004128
|
train
|
Sonia and Joss are moving to their new house at the lake. They have too much stuff in their previous house and decide to make multiple trips to move it all to the new house. They spend 15 minutes filling the car with their stuff and spend 30 minutes driving from the previous house to the new house. Fortunately, they did not waste any time unloading their stuff into the new house. In total they make 6 trips to complete the move. How many hours did they spend moving?
|
They spend 15 minutes/trip + 30 minutes/trip = <calculate step="1">15+30</calculate><result step="1">45</result> minutes/trip filling the car and driving to the new house.
They had to take 6 trips, so they spend 45 minutes/trip x 6/trip = <calculate step="2">45*6</calculate><result step="2">270</result> minutes.
They also had to drive back to their previous house 5 times to complete the move: 30 minutes/trip x 5 trips = <calculate step="3">30*5</calculate><result step="3">150</result> minutes.
In total, they spent 270 minutes + 150 minutes = <calculate step="4">270+150</calculate><result step="4">420</result> minutes.
Each hour has 60 minutes so they spent 420 minutes ÷ 60 minutes/hour = <<420/60=7>>7 hours in total.
#### 7
|
7
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "15+30",
"value": "45"
},
{
"step": 2,
"expr": "45*6",
"value": "270"
},
{
"step": 3,
"expr": "30*5",
"value": "150"
},
{
"step": 4,
"expr": "270+150",
"value": "420"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004129
|
train
|
Jeremie wants to go to an amusement park with 3 friends at the end of summer. Tickets are $18 for children and a set of snack cost $5. How much will it cost Jeremie and her 3 friends to go to the amusement park and buy each of them a set of snacks?
|
There are 1 + 3 = <calculate step="1">1+3</calculate><result step="1">4</result> of them who will go to the park.
The ticket and a set of snack cost $18 + $5 = $<calculate step="2">18+5</calculate><result step="2">23</result>.
So, it will cost Jerimee and her 3 friends $23 x 4 = $<calculate step="3">23*4</calculate><result step="3">92</result>.
#### 92
|
92
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "1+3",
"value": "4"
},
{
"step": 2,
"expr": "18+5",
"value": "23"
},
{
"step": 3,
"expr": "23*4",
"value": "92"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004130
|
train
|
Kyle can lift 60 more pounds this year, which is 3 times as much as he could lift last year. How many pounds can Kyle lift in all?
|
Since Kyle can lift 60 more pounds and that is 3 times what he could do before, that means that last year Kyle could lift 60 pounds / 3 = <calculate step="1">60/3</calculate><result step="1">20</result> pounds.
Kyle can now lift 60 pounds + 20 pounds he could lift last year = <calculate step="2">60+20</calculate><result step="2">80</result> pounds.
#### 80
|
80
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "60/3",
"value": "20"
},
{
"step": 2,
"expr": "60+20",
"value": "80"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004131
|
train
|
Bill's take-home salary is $40,000. He pays $2,000 in property taxes, $3,000 in sales taxes, and 10% of his gross salary in income taxes. What is Bill's gross salary?
|
First, figure out how much Bill has before he pays property taxes: $40,000 + $2,000 = $<calculate step="1">40000+2000</calculate><result step="1">42000</result>,000
Then, figure out how much Bill has before he pays sales taxes: $42,000 + $3,000 = $<calculate step="2">42000+3000</calculate><result step="2">45000</result>,000
Next, figure out what percent of his salary Bill keeps after income tax: 100% - 10% = 90%
Now we know that .9g = $45,000, where g is Bill's gross salary
Now we can divide both sides of the equation by .9 to find that g = $50,000
#### 50000
|
50000
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "40000+2000",
"value": "42000"
},
{
"step": 2,
"expr": "42000+3000",
"value": "45000"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004132
|
train
|
A papaya tree will grow 2 feet in the first year. In the second year, it will grow 50% more than the first year. In the third year, the tree will grow 50% more than in the second year. In the fourth year, it will grow twice as much as the third year. In the fifth year, it will grow half as much as the fourth year. When the tree is 5 years old, how tall is the tree?
|
In the second year, the tree will grow 2 x 1.5 = <calculate step="1">2*1.5</calculate><result step="1">3</result> feet.
In the third year, it will grow 3 x 1.5 = <calculate step="2">3*1.5</calculate><result step="2">9/2</result> feet.
In the fourth year, it will grow 4.5 x 2 = <calculate step="3">4.5*2</calculate><result step="3">9</result> feet.
In the fifth year, it will grow 9 / 2 = <calculate step="4">9/2</calculate><result step="4">9/2</result> feet.
When the tree is 5 years old, including the first year's growth, it will be this tall 2 + 3 + 4.5 + 9 + 4.5 = <<2+3+4.5+9+4.5=23>>23 feet.
#### 23
|
23
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "2*1.5",
"value": "3"
},
{
"step": 2,
"expr": "3*1.5",
"value": "9/2"
},
{
"step": 3,
"expr": "4.5*2",
"value": "9"
},
{
"step": 4,
"expr": "9/2",
"value": "9/2"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004133
|
train
|
Anna wants to plant red and yellow tulips in the shape of a smiley face. She needs 8 red tulips for each eye and 18 red tulips for the smile. If she needs 9 times the number of tulips in the smile to make the yellow background of the face, how many tulips does she need total?
|
First find the total number of tulips in the eyes: 2 eyes * 8 tulips/eye = <calculate step="1">2*8</calculate><result step="1">16</result> tulips
Then find the number of tulips in the background: 18 tulips * 9 = <calculate step="2">18*9</calculate><result step="2">162</result> tulips
Then add the number of tulips in the eyes, smile, and background to find the total number of tulips: 16 tulips + 162 tulips + 18 tulips = <calculate step="3">16+162+18</calculate><result step="3">196</result> tulips
#### 196
|
196
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "2*8",
"value": "16"
},
{
"step": 2,
"expr": "18*9",
"value": "162"
},
{
"step": 3,
"expr": "16+162+18",
"value": "196"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004134
|
train
|
Elliott drew a right-angle triangle on his book. It had a base of 4 inches, a height of 3 inches and a certain length of the hypotenuse. What was the length of the perimeter of the triangle that he drew?
|
Since the hypotenuse of a triangle is found by the square root of the base squared plus the height squared.
The square of the base of the first triangle is 4*4=<calculate step="1">4*4</calculate><result step="1">16</result> square inches
The square of the height of the first triangle is 3*3=<calculate step="2">3*3</calculate><result step="2">9</result> square inches.
The sum of the squares of the base and the height of the first triangle is 16+9=<calculate step="3">16+9</calculate><result step="3">25</result>
The square root of the sum of the base and the height of the first triangle, which is the hypotenuse of the triangle, is √25=5 inches.
Since the perimeter of a triangle is found by adding the sides of the triangle, the base and height of the triangle sum up to 3+4=<calculate step="4">3+4</calculate><result step="4">7</result> inches
If you add the hypotenuse of the triangle the perimeter of the triangle becomes 7+5=<<7+5=12>>12 inches.
#### 12
|
12
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "4*4",
"value": "16"
},
{
"step": 2,
"expr": "3*3",
"value": "9"
},
{
"step": 3,
"expr": "16+9",
"value": "25"
},
{
"step": 4,
"expr": "3+4",
"value": "7"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004135
|
train
|
Four adults with 32 teeth went to the dentist for a checkup after realizing they were having severe tooth pain. They were found to have different numbers of damaged teeth, and each person had some teeth removed. The first person had 1/4 of all his teeth removed, and the second person had 3/8 of his teeth removed, the third person had half of his teeth removed, while the last person only had 4 teeth removed. What's the total number of teeth removed at the dental clinic?
|
The first person had 1/4 of all his teeth removed, a total of 1/4*32 = <calculate step="1">1/4*32</calculate><result step="1">8</result> teeth.
The second person had 3/8 of his teeth removed, meaning 3/8*32 = <calculate step="2">3/8*32</calculate><result step="2">12</result> of his teeth were removed.
Together, the first and the second person had 12+8 = <calculate step="3">12+8</calculate><result step="3">20</result> teeth removed in total.
The third person had half of his teeth removed, which were 1/2*32 = <calculate step="4">32/2</calculate><result step="4">16</result> teeth.
The first three people had a total of 20+16 = <<20+16=36>>36 teeth removed from their mouth.
The last person only had 4 teeth removed, bringing the total number of teeth removed at the dentist clinic to be 36+4 = <<36+4=40>>40 teeth.
#### 40
|
40
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "1/4*32",
"value": "8"
},
{
"step": 2,
"expr": "3/8*32",
"value": "12"
},
{
"step": 3,
"expr": "12+8",
"value": "20"
},
{
"step": 4,
"expr": "32/2",
"value": "16"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004136
|
train
|
Mary uses plastic grocery bags that can hold a maximum of twenty pounds. She buys 4 pounds of green beans, 6 pounds milk, and twice the amount of carrots as green beans. How many more pounds of groceries can Mary fit in that bag?
|
First find the total weight of the carrots: 4 pounds * 2 = <calculate step="1">4*2</calculate><result step="1">8</result> pounds
Now add the total weight of each item: 6 pounds + 8 pounds + 4 pounds = <calculate step="2">6+8+4</calculate><result step="2">18</result> pounds
Now subtract the total weight of the groceries from the bag's weight limit: 20 pounds - 18 pounds = <calculate step="3">20-18</calculate><result step="3">2</result> pounds
#### 2
|
2
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "4*2",
"value": "8"
},
{
"step": 2,
"expr": "6+8+4",
"value": "18"
},
{
"step": 3,
"expr": "20-18",
"value": "2"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004137
|
train
|
Diego baked 12 cakes for his sister's birthday. Donald also baked 4 cakes, but ate 1 while waiting for the party to start. How many cakes are left?
|
The total number of cakes baked is 12 + 4 = <calculate step="1">12+4</calculate><result step="1">16</result> cakes.
But since Diego ate 1 cake, there are 16 - 1 = <calculate step="2">16-1</calculate><result step="2">15</result> cakes left.
#### 15
|
15
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "12+4",
"value": "16"
},
{
"step": 2,
"expr": "16-1",
"value": "15"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004138
|
train
|
Agatha has some money to spend on a new bike. She spends $15 on the frame, and $25 on the front wheel. If she has $20 left to spend on a seat and handlebar tape, how much money, in dollars, did she have at first?
|
Agatha spends 15+25=<calculate step="1">15+25</calculate><result step="1">40</result> dollars.
Agatha had 40+20=<calculate step="2">40+20</calculate><result step="2">60</result> dollars at first.
#### 60
|
60
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "15+25",
"value": "40"
},
{
"step": 2,
"expr": "40+20",
"value": "60"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004139
|
train
|
Eric has 4 ninja throwing stars. His friend Chad has twice as many. Then Jeff bought 2 ninja stars from Chad. Jeff now has 6 throwing stars. How many ninja throwing stars do they have altogether?
|
We know Eric has 4 stars and Chad has twice that amount, so Chad has 4 x 2 = 8 stars.
Then Chad sells 2 of them to Jeff, so Chad has 8 – 2 = <calculate step="1">8-2</calculate><result step="1">6</result> stars.
Altogether, Eric has 4 + Chad has 6 + Jeff has 6 = <calculate step="2">4+6+6</calculate><result step="2">16</result> stars.
#### 16
|
16
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "8-2",
"value": "6"
},
{
"step": 2,
"expr": "4+6+6",
"value": "16"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004140
|
train
|
Michael scored 260 points during his junior year on the school basketball team. He scored 20% more points during his senior year. How many points did he score during both years?
|
In his senior year, Michael scored 260 × 1.20 = <calculate step="1">260*1.20</calculate><result step="1">312</result> points.
In both his senior and junior years Michael scored 260 + 312 = <calculate step="2">260+312</calculate><result step="2">572</result> points.
#### 572
|
572
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "260*1.20",
"value": "312"
},
{
"step": 2,
"expr": "260+312",
"value": "572"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004141
|
train
|
James has 18 chocolate bars to sell for the swim team. He sold 5 last week and 7 this week. How many more chocolate bars does he need to sell?
|
He has sold a total of 5 + 7 = <calculate step="1">5+7</calculate><result step="1">12</result> chocolate bars so far.
James needs to sell 18 - 12 = <calculate step="2">18-12</calculate><result step="2">6</result> more chocolate bars.
#### 6
|
6
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "5+7",
"value": "12"
},
{
"step": 2,
"expr": "18-12",
"value": "6"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004142
|
train
|
Quinten sees three buildings downtown and decides to estimate their heights. He knows from a book on local buildings that the one in the middle is 100 feet tall. The one on the left looks like it is 80% of the height of the middle one. The one on the right looks 20 feet shorter than if the building on the left and middle were stacked on top of each other. How tall does Quinten estimate their total height to be?
|
He estimates the building on the left is 80 feet tall because 100 x .8 = <calculate step="1">100*.8</calculate><result step="1">80</result>
The combined height of the left and middle is 180 because 100 + 80 = <calculate step="2">100+80</calculate><result step="2">180</result>
The building on the right he estimates as 160 feet because 180 - 20 = <calculate step="3">180-20</calculate><result step="3">160</result>
He estimates the combined height as 340 feet because 80 + 100 + 160 = <calculate step="4">80+100+160</calculate><result step="4">340</result>
#### 340
|
340
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "100*.8",
"value": "80"
},
{
"step": 2,
"expr": "100+80",
"value": "180"
},
{
"step": 3,
"expr": "180-20",
"value": "160"
},
{
"step": 4,
"expr": "80+100+160",
"value": "340"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004143
|
train
|
There are 20 cars lined up at a race. Each of the cars have 2 passengers and a driver, then when the cars go past the race’s halfway point, each car gains another passenger. The cars then continue racing, and the race finishes once every single car has passed the finish line. People who get into the cars have to stay inside of them until the race is finished. How many people are in the cars by the end of the race?
|
There are 2 passengers and a driver in each car, which means that in each car there are 2 passengers + 1 driver = <calculate step="1">2+1</calculate><result step="1">3</result> people.
This means there are a total of 20 cars * 3 people per car = <calculate step="2">20*3</calculate><result step="2">60</result> people in the car at the start of the race.
At the halfway point, there is an additional 20 cars * 1 additional passenger = <calculate step="3">20*1</calculate><result step="3">20</result> more people.
So be the end of the race, there are 60 people at the start of the race + 20 additional people = <calculate step="4">60+20</calculate><result step="4">80</result> people in the cars.
#### 80
|
80
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "2+1",
"value": "3"
},
{
"step": 2,
"expr": "20*3",
"value": "60"
},
{
"step": 3,
"expr": "20*1",
"value": "20"
},
{
"step": 4,
"expr": "60+20",
"value": "80"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004144
|
train
|
You have 32$ to spend on groceries. You buy a loaf of bread for 3$, a candy bar for 2$, and 1/3 of whats left on a Turkey. How much money do you have left?
|
32-3=<calculate step="1">32-3</calculate><result step="1">29</result>
29-2=<calculate step="2">29-2</calculate><result step="2">27</result>
27(1/3)=9
27-9=<calculate step="3">27-9</calculate><result step="3">18</result>$
#### 18
|
18
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "32-3",
"value": "29"
},
{
"step": 2,
"expr": "29-2",
"value": "27"
},
{
"step": 3,
"expr": "27-9",
"value": "18"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004145
|
train
|
Ben spends 20% of his after-tax income on his car. If his car payment is $400 and he pays 1/3 of his gross income in taxes, how much does he make per month before taxes?
|
First divide that amount of the car payment by 20% to find Ben's after-tax salary: $400 / .2 = $<calculate step="1">400/.2</calculate><result step="1">2000</result>
Then find the proportion of his salary Ben keeps after taxes by subtracting the tax rate from 1: 1 - 1/3 = 2/3
Then divide Ben's after-tax salary by the proportion of his salary he keeps to find his before-tax salary: $2000 / 2/3 = $3000
#### 3000
|
3000
|
{
"num_steps": 1,
"steps": [
{
"step": 1,
"expr": "400/.2",
"value": "2000"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004146
|
train
|
At Roosevelt high school there are 600 students in the senior class. A fifth of the students are in the marching band. Of the students in the marching band, half of them play a brass instrument. Of the students that play a brass instrument, a fifth of them play the saxophone. Of the students that play the saxophone, a third of them play the alto saxophone. How many students play the alto saxophone?
|
The number of students in the marching band is 600 / 5 = <calculate step="1">600/5</calculate><result step="1">120</result> students
The number of students that play a brass instrument is 120 / 2 = <calculate step="2">120/2</calculate><result step="2">60</result> students
The number of students that play the saxophone is 60 / 5 = <calculate step="3">60/5</calculate><result step="3">12</result> students
The number of students that play the alto saxophone is 12 / 3 = <calculate step="4">12/3</calculate><result step="4">4</result> students
#### 4
|
4
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "600/5",
"value": "120"
},
{
"step": 2,
"expr": "120/2",
"value": "60"
},
{
"step": 3,
"expr": "60/5",
"value": "12"
},
{
"step": 4,
"expr": "12/3",
"value": "4"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004147
|
train
|
Tom, an avid stamp collector, has 3,000 stamps in his collection. He is very sad because he lost his job last Friday. His brother, Mike, and best friend, Harry, try to cheer him up with more stamps. Harry’s gift to Tom is 10 more stamps than twice Mike’s gift. If Mike has given Tom 17 stamps, how many stamps does Tom’s collection now have?
|
Twice the number of stamps given by Mike is 17 stamps * 2 = <calculate step="1">17*2</calculate><result step="1">34</result> stamps
Harry therefore gave Tom 10 stamps + 34 stamps = <calculate step="2">10+34</calculate><result step="2">44</result> stamps
Combining both gifts gives a gift total of 44 stamps + 17 stamps = <calculate step="3">44+17</calculate><result step="3">61</result> stamps
The total number of stamps in Tom’s collection is now 3000 stamps + 61 stamps = <calculate step="4">3000+61</calculate><result step="4">3061</result> stamps
#### 3061
|
3061
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "17*2",
"value": "34"
},
{
"step": 2,
"expr": "10+34",
"value": "44"
},
{
"step": 3,
"expr": "44+17",
"value": "61"
},
{
"step": 4,
"expr": "3000+61",
"value": "3061"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004148
|
train
|
Diana is twice as old as Grace is today. If Grace turned 3 a year ago, how old is Diana today?
|
Today, Grace is 3 + 1 = <calculate step="1">3+1</calculate><result step="1">4</result> years old.
So, Diana is 4*2 = <calculate step="2">4*2</calculate><result step="2">8</result> years old today.
#### 8
|
8
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "3+1",
"value": "4"
},
{
"step": 2,
"expr": "4*2",
"value": "8"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004149
|
train
|
A parking garage of a mall is four stories tall. On the first level, there are 90 parking spaces. The second level has 8 more parking spaces than on the first level, and there are 12 more available parking spaces on the third level than on the second level. The fourth level has 9 fewer parking spaces than the third level. If 100 cars are already parked, how many cars can be accommodated by the parking garage?
|
The second level has 90 + 8 = <calculate step="1">90+8</calculate><result step="1">98</result> parking spaces.
The third level has 98 + 12 = <calculate step="2">98+12</calculate><result step="2">110</result> parking spaces.
The fourth level has 110 - 9 = <calculate step="3">110-9</calculate><result step="3">101</result> parking spaces.
So the parking garage can accommodate 90 + 98 + 110 + 101 = <calculate step="4">90+98+110+101</calculate><result step="4">399</result> cars.
Thus, the parking garage can still accommodate 399 - 100 = <<399-100=299>>299 cars.
#### 299
|
299
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "90+8",
"value": "98"
},
{
"step": 2,
"expr": "98+12",
"value": "110"
},
{
"step": 3,
"expr": "110-9",
"value": "101"
},
{
"step": 4,
"expr": "90+98+110+101",
"value": "399"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004150
|
train
|
Mrs. Thomson received an incentive worth $240. She spent 1/3 of the money on food and 1/5 of it on clothes. Then, she put in her savings account 3/4 of the remaining money. How much money did Mrs. Thomson save?
|
Mrs. Thomson spent $240 x 1/3 = $<calculate step="1">240*1/3</calculate><result step="1">80</result> on food.
She spent $240 x 1/5 = $<calculate step="2">240*1/5</calculate><result step="2">48</result> on clothes.
So she spent a total of $80 + $48 = $<calculate step="3">80+48</calculate><result step="3">128</result> on food and clothes.
Hence, she had $240 - $128 = $<calculate step="4">240-128</calculate><result step="4">112</result> left after buying food and clothes.
Then, Mrs. Thomson saved $112 x 3/4 = $<<112*3/4=84>>84.
#### 84
|
84
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "240*1/3",
"value": "80"
},
{
"step": 2,
"expr": "240*1/5",
"value": "48"
},
{
"step": 3,
"expr": "80+48",
"value": "128"
},
{
"step": 4,
"expr": "240-128",
"value": "112"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004151
|
train
|
Jenny collects cans and bottles to take down to the recycling center. Each bottle weighs 6 ounces and each can weighs 2 ounces. Jenny can carry a total of 100 ounces. She collects 20 cans and as many bottles as she can carry. If she gets paid 10 cents per bottle and 3 cents per can, how much money does she make (in cents)?
|
First, the weight of 20 cans is 20 cans * 2 oz per can = <calculate step="1">20*2</calculate><result step="1">40</result> oz.
Thus, Jenny has the capacity to carry 100 oz - 40 oz = <calculate step="2">100-40</calculate><result step="2">60</result> oz of bottles.
Jenny can carry 60 oz / 6 oz per bottle = <calculate step="3">60/6</calculate><result step="3">10</result> bottles.
Jenny earns 10 bottles * 10 cents per bottle = <calculate step="4">10*10</calculate><result step="4">100</result> cents for the bottles.
Jenny earns 20 cans * 3 cents per can = <<20*3=60>>60 cents for the cans.
In total, she earns 100 cents + 60 cents = <<100+60=160>>160 cents.
#### 160
|
160
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "20*2",
"value": "40"
},
{
"step": 2,
"expr": "100-40",
"value": "60"
},
{
"step": 3,
"expr": "60/6",
"value": "10"
},
{
"step": 4,
"expr": "10*10",
"value": "100"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004152
|
train
|
Karen is considering her winter coat options. One coast costs $300 and will last for 15 years. The other coat costs $120 and will last for five years. How much money would Karen save over 30 years by buying the more expensive cost?
|
First find the number of cheaper coats Karen will have to purchase over 30 years: 30 years / 5 years/coat = <calculate step="1">30/5</calculate><result step="1">6</result> coats
Then multiply that number by the cost of one cheaper coat to find the total cost of that option: 6 coats * $120/coat = $<calculate step="2">6*120</calculate><result step="2">720</result>
Then find the number of more expensive coats Karen will have to purchase over 30 years: 30 years / 15 years/coat = <calculate step="3">30/15</calculate><result step="3">2</result> coats
Then multiply that number by the cost of one expensive coat to find the total cost of that option: 2 coats * $300/coat = $<calculate step="4">2*300</calculate><result step="4">600</result>
Then subtract the total cost of the more expensive coats from the total cost of the less expensive coats to find the difference: $720 - $600 = $<<720-600=120>>120
#### 120
|
120
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "30/5",
"value": "6"
},
{
"step": 2,
"expr": "6*120",
"value": "720"
},
{
"step": 3,
"expr": "30/15",
"value": "2"
},
{
"step": 4,
"expr": "2*300",
"value": "600"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004153
|
train
|
When Hannah was 6 years old, her age was double the age of her sister July. Now, 20 years later, if July's husband is 2 years older than her, how old is he?
|
July was 6 / 2 = <calculate step="1">6/2</calculate><result step="1">3</result> years old when Hannah was 6.
Now, July is 3 + 20 = <calculate step="2">3+20</calculate><result step="2">23</result> years old
July's husband is 23 + 2 = <calculate step="3">23+2</calculate><result step="3">25</result> years old
#### 25
|
25
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "6/2",
"value": "3"
},
{
"step": 2,
"expr": "3+20",
"value": "23"
},
{
"step": 3,
"expr": "23+2",
"value": "25"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004154
|
train
|
A four-layer pyramid is being built with each layer having three times as many sandstone blocks as the layer above it. The top layer is a single block. How many sandstone blocks are in the pyramid?
|
There are 1 * 3 = <calculate step="1">1*3</calculate><result step="1">3</result> blocks in the second layer.
There are 3 * 3 = <calculate step="2">3*3</calculate><result step="2">9</result> blocks in the third layer.
There are 9 * 3 = <calculate step="3">9*3</calculate><result step="3">27</result> blocks in the fourth layer.
Thus, there are 1 + 3 + 9 + 27 = <calculate step="4">1+3+9+27</calculate><result step="4">40</result> sandstone blocks in the pyramid.
#### 40
|
40
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "1*3",
"value": "3"
},
{
"step": 2,
"expr": "3*3",
"value": "9"
},
{
"step": 3,
"expr": "9*3",
"value": "27"
},
{
"step": 4,
"expr": "1+3+9+27",
"value": "40"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004155
|
train
|
Emmy has a collection of 14 iPods. She loses 6 out of the 14 she had but she still has twice as many as Rosa. How many iPods does Emmy and Rosa have together?
|
Emmy has 14-6 = <calculate step="1">14-6</calculate><result step="1">8</result> iPods left.
Rosa has 8/2 = <calculate step="2">8/2</calculate><result step="2">4</result> iPods.
Emmy and Rosa have 8+4 = <calculate step="3">8+4</calculate><result step="3">12</result> iPods together.
#### 12
|
12
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "14-6",
"value": "8"
},
{
"step": 2,
"expr": "8/2",
"value": "4"
},
{
"step": 3,
"expr": "8+4",
"value": "12"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004156
|
train
|
Wendy's truck has a gas tank that can hold 20 gallons. She also has a car with a gas tank that holds 12 gallons. The truck's tank is half full. The car's tank is 1/3 full. If she fills them both up completely, how many gallons does she add?
|
The truck tank has 10 gallons in it because 20 x .5 = <calculate step="1">20*.5</calculate><result step="1">10</result>
The car tank has 4 gallons in it because 12 x (1/3) = <calculate step="2">12*(1/3)</calculate><result step="2">4</result>
She needs to add 10 gallons to the truck because 20 - 10 = <calculate step="3">20-10</calculate><result step="3">10</result>
She needs to add 8 gallons to the car because 12 - 4 = <calculate step="4">12-4</calculate><result step="4">8</result>
She needs to add 18 gallons in total because 10 + 8 = <<10+8=18>>18
#### 18
|
18
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "20*.5",
"value": "10"
},
{
"step": 2,
"expr": "12*(1/3)",
"value": "4"
},
{
"step": 3,
"expr": "20-10",
"value": "10"
},
{
"step": 4,
"expr": "12-4",
"value": "8"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004157
|
train
|
Lady Bird uses 1 1/4 cup flour to make 9 biscuits. She’s hosting this month's Junior League club which has 18 members and wants to make sure she allows 2 biscuits per guest. How many cups of flour will Lady Bird need?
|
There will be 18 members and she wants to allow 2 biscuits per member so that’s 18*2 = <calculate step="1">18*2</calculate><result step="1">36</result> biscuits
Her biscuit recipe yields 9 biscuits and she needs to make 36 biscuits so she needs to make 36/9 = <calculate step="2">36/9</calculate><result step="2">4</result> batches of biscuits
1 batch of biscuits uses 1 1/4 cup flour and she needs to make 4 batches so she will use 1.25*4 = <calculate step="3">1.25*4</calculate><result step="3">5</result> cups of flour
#### 5
|
5
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "18*2",
"value": "36"
},
{
"step": 2,
"expr": "36/9",
"value": "4"
},
{
"step": 3,
"expr": "1.25*4",
"value": "5"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004158
|
train
|
Reyna had 20 lamps with seven light bulbs in each lamp. If 1/4 of them have 2 burnt-out light bulbs each, how many light bulbs are working?
|
The total number of light bulbs in the 20 lamps is 20*7 = <calculate step="1">20*7</calculate><result step="1">140</result>
If 1/4 of the 20 lamps have burnt-out light bulbs, there are 1/4*20 = <calculate step="2">1/4*20</calculate><result step="2">5</result> lamps with burn out light bulbs
Since each of the 5 lamps has 2 burnt-out light bulbs, the number of burn out light bulbs is 2*5 = <calculate step="3">2*5</calculate><result step="3">10</result>
The number of working light bulbs is 140 -10 = <calculate step="4">140-10</calculate><result step="4">130</result>
#### 130
|
130
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "20*7",
"value": "140"
},
{
"step": 2,
"expr": "1/4*20",
"value": "5"
},
{
"step": 3,
"expr": "2*5",
"value": "10"
},
{
"step": 4,
"expr": "140-10",
"value": "130"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004159
|
train
|
It takes a butterfly egg 120 days to become a butterfly. If each butterfly spends 3 times as much time as a larva as in a cocoon, how long does each butterfly spend in a cocoon?
|
Let c be the amount of time the butterfly spends in a cocoon and l be the amount of time it spends as a larva. We know that l = 3c and l + c = 120.
Substituting the first equation into the second equation, we get 3c + c = 120.
Combining like terms, we get 4c = 120.
Dividing both sides by 4, we get c = 30.
#### 30
|
30
|
{
"num_steps": 0,
"steps": [],
"skipped_reasons": [],
"warnings": []
}
|
train-004160
|
train
|
Hannah harvests 5 strawberries daily for the next whole month of April, which has 30 days. If she gives away 20 strawberries to her friends and 30 strawberries are stolen, how many strawberries does she have by the end of April?
|
Hannah harvests a total of 5*30=<calculate step="1">5*30</calculate><result step="1">150</result> strawberries.
After giving her friends, Hannah is left with 150-20=<calculate step="2">150-20</calculate><result step="2">130</result> strawberries.
After some were stolen, Hannah is left with 130-30=<calculate step="3">130-30</calculate><result step="3">100</result> strawberries.
#### 100
|
100
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "5*30",
"value": "150"
},
{
"step": 2,
"expr": "150-20",
"value": "130"
},
{
"step": 3,
"expr": "130-30",
"value": "100"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004161
|
train
|
Mr. Wells has a garden of flowers with 50 rows. If each row has 400 flowers and Mr. Wells cuts 60% of the flowers, how many flowers are remaining in the garden?
|
If there are 50 rows of flowers with 400 flowers per row, there are 50*400 = <calculate step="1">50*400</calculate><result step="1">20000</result> flowers in the garden,
Mr. Wells cuts flowers from 60% of the flowers, which is 60/100*20000 = <calculate step="2">60/100*20000</calculate><result step="2">12000</result> flowers.
The total number of flowers remaining in the garden is 20000-12000 = <calculate step="3">20000-12000</calculate><result step="3">8000</result>
#### 8000
|
8000
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "50*400",
"value": "20000"
},
{
"step": 2,
"expr": "60/100*20000",
"value": "12000"
},
{
"step": 3,
"expr": "20000-12000",
"value": "8000"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004162
|
train
|
Jerry's breakfast includes 6 pancakes with 120 calories each, two strips of bacon with 100 calories each, and a bowl of cereal with 200 calories. How many calories is his breakfast total?
|
First find the total number of calories in the pancakes: 6 pancakes * 120 calories/pancake = <calculate step="1">6*120</calculate><result step="1">720</result> calories
Then find the total number of calories in the bacon: 2 strips * 100 calories/strip = <calculate step="2">2*100</calculate><result step="2">200</result> calories
Then add the number of calories in each food to find the total number of calories: 720 calories + 200 calories + 200 calories = <calculate step="3">720+200+200</calculate><result step="3">1120</result> calories
#### 1120
|
1120
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "6*120",
"value": "720"
},
{
"step": 2,
"expr": "2*100",
"value": "200"
},
{
"step": 3,
"expr": "720+200+200",
"value": "1120"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004163
|
train
|
Tom buys 20 shares of a stock that costs $3 each. He sells 10 of those shares for $4 each. The rest of the shares end up doubling in value. How much profit does he make?
|
He spends 3*20=$<calculate step="1">3*20</calculate><result step="1">60</result> on the shares.
He sells 10 for 10*4=$<calculate step="2">10*4</calculate><result step="2">40</result>.
He sells the other 20-10=<calculate step="3">20-10</calculate><result step="3">10</result> for a higher valuation.
Their price was 3*2=$<calculate step="4">3*2</calculate><result step="4">6</result>.
So he got 10*6=$<<10*6=60>>60 from those.
So in total, he got 60+40=$<<60+40=100>>100.
So his profit was 100-60=$<<100-60=40>>40.
#### 40
|
40
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "3*20",
"value": "60"
},
{
"step": 2,
"expr": "10*4",
"value": "40"
},
{
"step": 3,
"expr": "20-10",
"value": "10"
},
{
"step": 4,
"expr": "3*2",
"value": "6"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004164
|
train
|
One kilogram of tomatoes is 20% cheaper than one kilogram of cucumbers. One kilogram of cucumbers costs $5. What is the price of two kilograms of tomatoes and three kilograms of cucumbers?
|
One kilogram of tomatoes is 20/100 * 5 = $<calculate step="1">20/100*5</calculate><result step="1">1</result> cheaper than one kilogram of cucumbers.
This means that one kilogram of tomatoes costs 5 - 1 = $<calculate step="2">5-1</calculate><result step="2">4</result>.
So two kilograms of tomatoes is a cost of 2 * 4 = $<calculate step="3">2*4</calculate><result step="3">8</result>.
And three kilograms of cucumbers is a cost of 3 * 5 = $<calculate step="4">3*5</calculate><result step="4">15</result>.
So the price for both products would be 8 + 15 = $<<8+15=23>>23.
#### 23
|
23
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "20/100*5",
"value": "1"
},
{
"step": 2,
"expr": "5-1",
"value": "4"
},
{
"step": 3,
"expr": "2*4",
"value": "8"
},
{
"step": 4,
"expr": "3*5",
"value": "15"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004165
|
train
|
Paul eats a lot when he studies. He loves sandwiches and eats them at the same rate every three days. He eats 2 sandwiches the first day, then doubles that number of sandwiches for the second day. On the third day, he doubles the number of sandwiches he ate on the second day. How many sandwiches would Paul eat if he studied 6 days in a row?
|
Paul doubles the amount that he ate on the second day, so eats 2 x 2 = <calculate step="1">2*2</calculate><result step="1">4</result> sandwiches.
For the third day, he doubles the number of sandwiches he ate on the second day, so eats 2 x 2 x 2 = <calculate step="2">2*2*2</calculate><result step="2">8</result> sandwiches.
To get the total amount of sandwiches he ate over three days it's necessary to add up the amount he ate each day: 2 + 4 + 8 = <calculate step="3">2+4+8</calculate><result step="3">14</result> sandwiches
Since he eats 14 sandwiches every 3 days, then in 6 days he would eat 14 x 2 = <calculate step="4">14*2</calculate><result step="4">28</result> sandwiches in total.
#### 28
|
28
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "2*2",
"value": "4"
},
{
"step": 2,
"expr": "2*2*2",
"value": "8"
},
{
"step": 3,
"expr": "2+4+8",
"value": "14"
},
{
"step": 4,
"expr": "14*2",
"value": "28"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004166
|
train
|
A dime has the same value as 10 pennies and a nickel has the same value as 5 pennies. How many pennies will Grace have by exchanging her 10 dimes and 10 nickels?
|
Grace will have 10 x 10 = <calculate step="1">10*10</calculate><result step="1">100</result> pennies from her dimes.
She will have 10 x 5 = <calculate step="2">10*5</calculate><result step="2">50</result> pennies from her nickels.
Therefore, she will have a total of 100 + 50 = <calculate step="3">100+50</calculate><result step="3">150</result> pennies.
#### 150
|
150
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "10*10",
"value": "100"
},
{
"step": 2,
"expr": "10*5",
"value": "50"
},
{
"step": 3,
"expr": "100+50",
"value": "150"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004167
|
train
|
Andrew is having two of his friends over for a sleepover. For one friend, Brian, he asks his mother to buy 3 donuts. He asks for his other friend, Samuel, to get the same. A day before the sleepover Andrew ends up inviting two more friends and asks his mother to buy them the same amount of donuts. Just in case, Andrew’s mother wants to buy one more donut for each of Andrew’s friends. Andrew’s mother is going to buy the same amount of donuts for Andrew as everybody else. How many donuts will Andrew’s mother need to buy?
|
Andrew is having 4 friends over who will get 3 donuts each, 4 x 3 = <calculate step="1">4*3</calculate><result step="1">12</result> donuts total.
Andrew’s mother wants to get 1 extra donut for each of Andrew’s friends, 3 donuts + 1 extra = <calculate step="2">3+1</calculate><result step="2">4</result> donuts for each of Andrew's friends.
Andrew’s mother is buying 12 + 4 extra donuts for Andrew’s friends = <calculate step="3">12+4</calculate><result step="3">16</result> total donuts.
Andrew’s mother is also going to get 3 + 1 extra donut for Andrew = <calculate step="4">3+1</calculate><result step="4">4</result> donuts.
Andrew’s mother will need to buy 16 donuts for Andrew’s friends + 4 donuts for Andrew = <<16+4=20>>20 total donuts.
#### 20
|
20
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "4*3",
"value": "12"
},
{
"step": 2,
"expr": "3+1",
"value": "4"
},
{
"step": 3,
"expr": "12+4",
"value": "16"
},
{
"step": 4,
"expr": "3+1",
"value": "4"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004168
|
train
|
Rachel weighs 75 pounds, 6 pounds less than Jimmy and 15 pounds more than Adam. What is the average weight of the three people, in pounds?
|
Jimmy weighs 75+6 = <calculate step="1">75+6</calculate><result step="1">81</result> pounds.
Adam's weight is 75-15= <calculate step="2">75-15</calculate><result step="2">60</result> pounds.
In total, the three weigh 75 + 81 + 60 = <calculate step="3">75+81+60</calculate><result step="3">216</result> pounds.
The average weight of the three is 216/3 = <calculate step="4">216/3</calculate><result step="4">72</result> pounds
#### 72
|
72
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "75+6",
"value": "81"
},
{
"step": 2,
"expr": "75-15",
"value": "60"
},
{
"step": 3,
"expr": "75+81+60",
"value": "216"
},
{
"step": 4,
"expr": "216/3",
"value": "72"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004169
|
train
|
An apple tree has three times as many apples as the number of plums on a plum tree. If Damien picks 3/5 of the fruits from the trees, calculate the total number of plums and apples remaining on the tree if there were 180 apples on the apple tree before Damien picked any of the fruits.
|
Initially, the were 180//3= <calculate step="1">180//3</calculate><result step="1">60</result> plums on the plum tree.
When Damien picked 3/5 of the apples from the apple tree, he picked 3/5*180 = <calculate step="2">3/5*180</calculate><result step="2">108</result> apples
The number of apples remaining on the apple tree is 180-108= <calculate step="3">180-108</calculate><result step="3">72</result>
The number of plums that Damien picked from the plum tree is 3/5*60 = <calculate step="4">3/5*60</calculate><result step="4">36</result>
The number of plums remaining on the plum tree is 60-36 = <<60-36=24>>24
The total number of fruits remaining on the trees is 72 apples+24 plums = <<72+24=96>>96
#### 96
|
96
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "180//3",
"value": "60"
},
{
"step": 2,
"expr": "3/5*180",
"value": "108"
},
{
"step": 3,
"expr": "180-108",
"value": "72"
},
{
"step": 4,
"expr": "3/5*60",
"value": "36"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004170
|
train
|
Amon & Rhonda combined have 215 marbles. If Amon owns 55 marbles more than Rhonda, how many marbles does Rhonda have?
|
Let's say Rhonda has m marbles.
The total number of marbles that Ammon has is m+<calculate step="1">+55</calculate><result step="1">55</result>
Amon & Rhonda combined have m+(m+55) = 215
This means the total number of marbles they have together is 2m+55 = 215
2m=215-55
The total number of marbles that Rhonda has is m=160/2
Rhonda has m=80 marbles.
#### 80
|
80
|
{
"num_steps": 1,
"steps": [
{
"step": 1,
"expr": "+55",
"value": "55"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004171
|
train
|
William washes cars as a side job. He typically spends 4 minutes washing a car’s windows, 7 minutes washing the car body, 4 minutes cleaning the tires, and 9 minutes waxing the car. This morning he washed 2 normal cars and one big SUV, which took twice as long as a normal car. How many minutes did William spend washing all the vehicles?
|
William spends 4 + 7 + 4 + 9 = <calculate step="1">4+7+4+9</calculate><result step="1">24</result> minutes washing a normal car.
He washed 2 normal cars, so he spent 24 * 2 = <calculate step="2">24*2</calculate><result step="2">48</result> minutes on the normal cars.
He took twice as long as one car for the SUV, so he took 24 * 2 = <calculate step="3">24*2</calculate><result step="3">48</result> minutes on the SUV.
Thus, William spent 48 + 48 = <calculate step="4">48+48</calculate><result step="4">96</result> minutes washing all the vehicles.
#### 96
|
96
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "4+7+4+9",
"value": "24"
},
{
"step": 2,
"expr": "24*2",
"value": "48"
},
{
"step": 3,
"expr": "24*2",
"value": "48"
},
{
"step": 4,
"expr": "48+48",
"value": "96"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004172
|
train
|
Nine adults went to a play with seven children. Adult tickets are $11 each and children's tickets are $7 each. How many dollars more did the adults' tickets cost in total than the children's tickets in total?
|
Adults = 9 * 11 = <calculate step="1">9*11</calculate><result step="1">99</result>
Children = 7 * 7 = <calculate step="2">7*7</calculate><result step="2">49</result>
Difference: 99 - 49 = $<calculate step="3">99-49</calculate><result step="3">50</result>
The adults' tickets cost $50 more than the children's tickets.
#### 50
|
50
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "9*11",
"value": "99"
},
{
"step": 2,
"expr": "7*7",
"value": "49"
},
{
"step": 3,
"expr": "99-49",
"value": "50"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004173
|
train
|
Jack is making barbecue sauce. He uses 3 cups of ketchup, 1 cup of vinegar and 1 cup of honey. If each burger takes 1/4 cup of sauce and each pulled pork sandwich takes 1/6 cup, how many burgers can Jack make if he makes 18 pulled pork sandwiches?
|
First find how much barbecue sauce Jack makes by adding the volume of each ingredient: 3 cups + 1 cup + 1 cup = <calculate step="1">3+1+1</calculate><result step="1">5</result> cups
Then multiply the number of pulled pork sandwiches by the amount of sauce per sandwich to find the total amount used: 1/6 cup/sandwich * 18 sandwiches = <calculate step="2">1/6*18</calculate><result step="2">3</result> cups
Then subtract this amount from the total amount of sauce Jack has to find how much he uses on the burgers: 5 cups - 3 cups = <calculate step="3">5-3</calculate><result step="3">2</result> cups
Then divide this amount by the amount of sauce used per burger to find the number of burgers he can make: 2 cups / 1/4 cup/burger = 8 burgers
#### 8
|
8
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "3+1+1",
"value": "5"
},
{
"step": 2,
"expr": "1/6*18",
"value": "3"
},
{
"step": 3,
"expr": "5-3",
"value": "2"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004174
|
train
|
Ronnie is a train engineer. His train pulls 3 red boxcars, 4 blue boxcars, and 7 black boxcars. If the black boxcars can each hold 4000 pounds of coal, which is half as much as what the blue boxcars can hold, and the red boxcars can hold 3 times as much as the blue boxcars, how many pounds of coal can all of the train's boxcars combined hold?
|
If we let X represent the number of pounds of coal that the blue boxcar can hold, then 4000=(1/2)X.
Solving for X, we get X=<calculate step="1">8000</calculate><result step="1">8000</result> pounds of coal, which represents what the blue car can hold.
Thus, the red boxcar can hold 3*8000=<calculate step="2">3*8000</calculate><result step="2">24000</result>,000 pounds of coal.
3 red boxcars can carry 3*24,000=<calculate step="3">3*24000</calculate><result step="3">72000</result>,000 pounds of coal.
7 black boxcars can carry 7*4,000=<calculate step="4">7*4000</calculate><result step="4">28000</result>,000 pounds of coal.
4 blue boxcars carry 4*8,000=<<4*8000=32000>>32,000 pounds of coal.
Together, all the trains boxcars can carry 72,000+28,000+32,000=<<72000+28000+32000=132000>>132,000 pounds of coal.
#### 132,000
|
132,000
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "8000",
"value": "8000"
},
{
"step": 2,
"expr": "3*8000",
"value": "24000"
},
{
"step": 3,
"expr": "3*24000",
"value": "72000"
},
{
"step": 4,
"expr": "7*4000",
"value": "28000"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004175
|
train
|
The vending machine fails to drop a snack when it’s purchased one in six times. One in ten times, it will accidentally drop two snacks. The rest of the time, it drops the purchased snack. If thirty people have used the vending machine once each to purchase a snack, how many snacks has the vending machine dropped?
|
The vending machine has been used 30 times, so it has failed to drop a snack 30 / 6 = <calculate step="1">30/6</calculate><result step="1">5</result> times.
The vending machine has dropped 2 snacks 30 / 10 = <calculate step="2">30/10</calculate><result step="2">3</result> times.
It has operated normally and dropped 1 snack 30 - 5 - 3 = <calculate step="3">30-5-3</calculate><result step="3">22</result> times.
Thus, the vending machine has dropped 22 + 3 * 2 = 22 + 6 = <calculate step="4">22+3*2</calculate><result step="4">28</result> snacks in thirty uses.
#### 28
|
28
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "30/6",
"value": "5"
},
{
"step": 2,
"expr": "30/10",
"value": "3"
},
{
"step": 3,
"expr": "30-5-3",
"value": "22"
},
{
"step": 4,
"expr": "22+3*2",
"value": "28"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004176
|
train
|
Daisy and Rose were enjoying their backyard pool with their dogs. If there are 24 legs/paws in the pool, how many dogs do Daisy and Rose have?
|
Daisy and Rose each have 2 legs so between them, they have 2*2 = <calculate step="1">2*2</calculate><result step="1">4</result> legs
There are 24 legs in the pool and 4 belong to Daisy and Rose so there are 24-4 = <calculate step="2">24-4</calculate><result step="2">20</result> legs in the pool
Dogs have 4 legs and there are 20 legs in the pool so there are 20/4 = 5 dogs in the pool
#### 5
|
5
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "2*2",
"value": "4"
},
{
"step": 2,
"expr": "24-4",
"value": "20"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004177
|
train
|
A chihuahua, pitbull, and great dane weigh a combined weight of 439 pounds. The pitbull weighs 3 times as much as the chihuahua. The great dane weighs 10 more pounds than triple the pitbull. How much does the great dane weigh?
|
Let x represent the weight of the chihuahua
Pitbull:3x
Great dane:10+3(3x)=10+9x
Total:x+3x+10+9x=439
13x+10=439
13x=429
x=<calculate step="1">33</calculate><result step="1">33</result> pounds
Great dane:10+9(33)=307 pounds
#### 307
|
307
|
{
"num_steps": 1,
"steps": [
{
"step": 1,
"expr": "33",
"value": "33"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004178
|
train
|
John decides to go back to school to get his PhD. He first takes 1 year of courses to get acclimated back to school life before starting his PhD. After that, he spends 2 years learning the basics of his field. He then starts research, and he spends 75% more time on research than he did learning the basics. He then spends half as long on writing his dissertation as his acclimation period. How long did it take him to do everything?
|
It took him 2*.75=<calculate step="1">2*.75</calculate><result step="1">3/2</result> years longer to do his research than it took to learn the basics
So it took him a total of 2+1.5=<calculate step="2">2+1.5</calculate><result step="2">7/2</result> years to do research
His dissertation took 1/2 = <calculate step="3">1/2</calculate><result step="3">1/2</result>.5 years to write
So everything together took 1+2+3.5+.5=<calculate step="4">1+2+3.5+.5</calculate><result step="4">7</result> years
#### 7
|
7
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "2*.75",
"value": "3/2"
},
{
"step": 2,
"expr": "2+1.5",
"value": "7/2"
},
{
"step": 3,
"expr": "1/2",
"value": "1/2"
},
{
"step": 4,
"expr": "1+2+3.5+.5",
"value": "7"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004179
|
train
|
Sarah's external drive showed 2.4 gigabytes free and 12.6 gigabytes used. She decided to delete a folder of size 4.6 gigabytes and store new files of 2 gigabytes. If she will transfer all her files to a new external drive of size 20 gigabytes, how many free gigabytes will the new external drive have?
|
There were 12.6 - 4.6 = <calculate step="1">12.6-4.6</calculate><result step="1">8</result> gigabytes used after deleting some files.
Then, the used space went up to 8 + 2 = <calculate step="2">8+2</calculate><result step="2">10</result> gigabytes after storing other files.
Thus, the new 20 gigabytes external drive will have 20 - 10 = <calculate step="3">20-10</calculate><result step="3">10</result> gigabytes free.
#### 10
|
10
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "12.6-4.6",
"value": "8"
},
{
"step": 2,
"expr": "8+2",
"value": "10"
},
{
"step": 3,
"expr": "20-10",
"value": "10"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004180
|
train
|
Maria buys a large bar of French soap that lasts her for 2 months. She spends $8.00 per bar of soap. If she wants to stock up for the entire year, how much will she spend on soap?
|
1 bar of soap will last for 2 months and there are 12 months in 1 year so she needs 12/2 = 6 bars of soap
Each bar of soap is $8.00 and she needs 6 bars so that's a total of 8*6 = $<calculate step="1">8*6</calculate><result step="1">48</result>
#### 48
|
48
|
{
"num_steps": 1,
"steps": [
{
"step": 1,
"expr": "8*6",
"value": "48"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004181
|
train
|
Hannah wants to save $80 for five weeks. In the first week, she saved $4 and she plans to save twice as much as her savings as the previous week. How much will she save in the fifth week to reach her goal?
|
In the second week, Hannah will save $4 x 2 = $<calculate step="1">4*2</calculate><result step="1">8</result>.
In the third week, she will save $8 x 2 = $<calculate step="2">8*2</calculate><result step="2">16</result>.
In the fourth week, she will save $16 x 2 = $<calculate step="3">16*2</calculate><result step="3">32</result>.
Her total savings for a month will be $4 + $8 + $16 + $32 = $<calculate step="4">4+8+16+32</calculate><result step="4">60</result>.
Hannah needs to save $80 - $60 = $<<80-60=20>>20 in the fifth week.
#### 20
|
20
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "4*2",
"value": "8"
},
{
"step": 2,
"expr": "8*2",
"value": "16"
},
{
"step": 3,
"expr": "16*2",
"value": "32"
},
{
"step": 4,
"expr": "4+8+16+32",
"value": "60"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004182
|
train
|
Darryl sells melons on the side of the road. He sells cantaloupes for $2 each and honeydews for $3. He started the day with 30 cantaloupes and 27 honeydews. He accidentally dropped a couple of cantaloupes and three of the honeydews turned out to be rotten. At the end of the day he had 8 cantaloupes and 9 honeydews left. How much money did he make?
|
He dropped two cantaloupes and had 8 left over at the end of the day, so he sold 30 - 2 - 8 = <calculate step="1">30-2-8</calculate><result step="1">20</result> cantaloupes.
Three honeydews were rotten, and he had 9 left at the end of the day, so he sold 27 - 3 - 9 = <calculate step="2">27-3-9</calculate><result step="2">15</result> honeydews.
He sold 20 cantaloupes * $2/cantaloupe = $<calculate step="3">20*2</calculate><result step="3">40</result> in cantaloupes
He also sold 15 honeydews * $3/honeydew = $<calculate step="4">15*3</calculate><result step="4">45</result> in honeydews.
Altogether he made $40 + $45 = $<<40+45=85>>85
#### 85
|
85
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "30-2-8",
"value": "20"
},
{
"step": 2,
"expr": "27-3-9",
"value": "15"
},
{
"step": 3,
"expr": "20*2",
"value": "40"
},
{
"step": 4,
"expr": "15*3",
"value": "45"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004183
|
train
|
A country used to have a tax rate of 20%. They raised it to 30%. In that same time frame, John went from making 1,000,000 a year to 1,500,000 a year. How much more does he pay in taxes now compared to then?
|
At 20% he paid .2*1000000=$200000,000
Now he pays 1500000*.3=$450000,000
So he pays an extra 450000-200000=$<calculate step="1">450000-200000</calculate><result step="1">250000</result>
#### 250000
|
250000
|
{
"num_steps": 1,
"steps": [
{
"step": 1,
"expr": "450000-200000",
"value": "250000"
}
],
"skipped_reasons": [
{
"expr": ".2*1000000",
"reason": "big_integer:7d"
},
{
"expr": "1500000*.3",
"reason": "big_integer:7d"
}
],
"warnings": []
}
|
train-004184
|
train
|
There are 28 garden gnomes in a yard. Three-fourths of them have red hats, and the rest have blue hats. Half the garden gnomes have big noses instead of small noses. If six gnomes with blue hats have big noses, how many gnomes with red hats have small noses?
|
Half the gnomes have big noses, so 28 / 2 = <calculate step="1">28/2</calculate><result step="1">14</result> have big noses.
Three-quarters of the gnomes have red hats, so 28 * 3 / 4 = <calculate step="2">28*3/4</calculate><result step="2">21</result> gnomes have red hats.
There are 6 gnomes with blue hats and big noses, so there are 14 - 6 = 8 with red hats and big noses.
Thus, there are 21 - 8 = <calculate step="3">21-8</calculate><result step="3">13</result> gnomes with red hats that have small noses.
#### 13
|
13
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "28/2",
"value": "14"
},
{
"step": 2,
"expr": "28*3/4",
"value": "21"
},
{
"step": 3,
"expr": "21-8",
"value": "13"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004185
|
train
|
Emily bought 9 packs of candy necklaces to give her classmates at school for Valentine’s Day. Each pack had 8 candy necklaces in it. Emily opened one pack at a time. After her classmates took as many as they wanted, there were 40 candy necklaces left. How many packs did Emily open for her classmates?
|
Emily bought 9 packs of candy necklaces * 8 candy necklaces in a pack = <calculate step="1">9*8</calculate><result step="1">72</result> candy necklaces.
Her classmates took 72 candy necklaces – 40 candy necklaces left = <calculate step="2">72-40</calculate><result step="2">32</result> candy necklaces
Since each pack contained 8 necklaces, this means 32 / 8 = <calculate step="3">32/8</calculate><result step="3">4</result> packs of candy necklaces were opened.
#### 4
|
4
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "9*8",
"value": "72"
},
{
"step": 2,
"expr": "72-40",
"value": "32"
},
{
"step": 3,
"expr": "32/8",
"value": "4"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004186
|
train
|
John buys game loot boxes for $5 each. The average value of items inside is $3.5. He spends $40 on loot boxes. What is the average amount he lost?
|
He bought 40/5=<calculate step="1">40/5</calculate><result step="1">8</result> boxes
He loses an average of 5-3.5=$<calculate step="2">5-3.5</calculate><result step="2">3/2</result> per box
So he loses an average of 1.5*8=$<calculate step="3">1.5*8</calculate><result step="3">12</result>
#### 12
|
12
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "40/5",
"value": "8"
},
{
"step": 2,
"expr": "5-3.5",
"value": "3/2"
},
{
"step": 3,
"expr": "1.5*8",
"value": "12"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004187
|
train
|
Jeremy bought a computer for $3000, and some accessories for 10% of the price of the computer. How much money has Jeremy if, before the purchase, he had two times more money, than the cost of the computer itself?
|
At the start, Jeremy had two times more money than the price of the computer, which means he had 2 * 3000 = $<calculate step="1">2*3000</calculate><result step="1">6000</result>.
The cost of the accessories stands at 3000 * 1/10 = $<calculate step="2">3000*1/10</calculate><result step="2">300</result>.
This leaves Jeremy with 6000 - 3000 - 300 = $<calculate step="3">6000-3000-300</calculate><result step="3">2700</result>.
#### 2700
|
2700
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "2*3000",
"value": "6000"
},
{
"step": 2,
"expr": "3000*1/10",
"value": "300"
},
{
"step": 3,
"expr": "6000-3000-300",
"value": "2700"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004188
|
train
|
Barry goes to a shop to buy a shirt he'd been admiring for quite some time. He tells the attendant that it's his birthday so she decides to give him a 15% special discount. The price tag on the shirt says $80. How much is he supposed to pay now, considering the special discount?
|
15% of $80 = (15/100)*$80 = $<calculate step="1">(15/100)*80</calculate><result step="1">12</result>
The dollar amount of the discount is $12 so he is supposed to pay just $80-$12 = $<calculate step="2">80-12</calculate><result step="2">68</result>
#### 68
|
68
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "(15/100)*80",
"value": "12"
},
{
"step": 2,
"expr": "80-12",
"value": "68"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004189
|
train
|
In eight years, Mr. Bernard will be 3 times as old as Luke is now. If Luke is 20, what is 10 years less than their average age?
|
If Luke is 20, he will be 20+8 = <calculate step="1">20+8</calculate><result step="1">28</result> years old in eight years.
In eight years, Mr. Bernard will be 3 times as old as Luke is now, a total of 3*20= <calculate step="2">3*20</calculate><result step="2">60</result> years old.
Mr. Bernard is now 60-8= <calculate step="3">60-8</calculate><result step="3">52</result> years old
The sum of their current ages is 52+20 = <calculate step="4">52+20</calculate><result step="4">72</result>
Their average age is 72/2 =<<72/2=36>>36
10 less than their average age is 36-10 = <<36-10=26>>26 years.
#### 26
|
26
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "20+8",
"value": "28"
},
{
"step": 2,
"expr": "3*20",
"value": "60"
},
{
"step": 3,
"expr": "60-8",
"value": "52"
},
{
"step": 4,
"expr": "52+20",
"value": "72"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004190
|
train
|
Marlon has a gift card for $200. He spent half of it on Monday and one-fourth of the remainder on Tuesday. How much was left on his gift card?
|
Since Marlon spent half of the gift card, then half of it which is $200/2 = $<calculate step="1">200/2</calculate><result step="1">100</result> remained on Monday.
Then on Tuesday, he spent $100/4 = $<calculate step="2">100/4</calculate><result step="2">25</result>.
Therefore, he has $100 - $25 = $<calculate step="3">100-25</calculate><result step="3">75</result> left in his gift card.
#### 75
|
75
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "200/2",
"value": "100"
},
{
"step": 2,
"expr": "100/4",
"value": "25"
},
{
"step": 3,
"expr": "100-25",
"value": "75"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004191
|
train
|
James has 20 years of experience. 8 years ago John had twice as much experience as James. Mike started when John had 16 years of experience. What is their combined experience?
|
8 years ago James had 20-8=<calculate step="1">20-8</calculate><result step="1">12</result> years
So 8 years ago John had 12*2=24 years experience
That means John has 24+8=<calculate step="2">24+8</calculate><result step="2">32</result> years experience
So Mike has 32-16=<calculate step="3">32-16</calculate><result step="3">16</result> years of experience
So together they have 20+32+16=<calculate step="4">20+32+16</calculate><result step="4">68</result> years experience
#### 68
|
68
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "20-8",
"value": "12"
},
{
"step": 2,
"expr": "24+8",
"value": "32"
},
{
"step": 3,
"expr": "32-16",
"value": "16"
},
{
"step": 4,
"expr": "20+32+16",
"value": "68"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004192
|
train
|
Susan loves chairs. In her house there are red chairs, yellow chairs, and blue chairs. There are 5 red chairs. There are 4 times as many yellow chairs as red chairs, and there are 2 fewer blue chairs than yellow chairs. How many chairs are there in Susan's house?
|
The number of yellow chairs is 5 chairs × 4 = <calculate step="1">5*4</calculate><result step="1">20</result> chairs.
The number of blue chairs is 20 chairs − 2 chairs = <calculate step="2">20-2</calculate><result step="2">18</result> chairs.
There are 5 chairs + 20 chairs + 18 chairs = <calculate step="3">5+20+18</calculate><result step="3">43</result> chairs in Susan's house.
#### 43
|
43
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "5*4",
"value": "20"
},
{
"step": 2,
"expr": "20-2",
"value": "18"
},
{
"step": 3,
"expr": "5+20+18",
"value": "43"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004193
|
train
|
Before work, Hayden spends 5 minutes ironing his button-up shirt and 3 minutes ironing his pants. He does this 5 days a week. How many minutes does he iron over 4 weeks?
|
He spends 5 minutes ironing his shirt and 3 minutes ironing his pants so that's 5+3 = <calculate step="1">5+3</calculate><result step="1">8</result> minutes
He does this every day for 5 days so that's 5*8 = <calculate step="2">5*8</calculate><result step="2">40</result> minutes
After 4 weeks, Hayden has spent 4*40 = <calculate step="3">4*40</calculate><result step="3">160</result> minutes ironing his clothes
#### 160
|
160
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "5+3",
"value": "8"
},
{
"step": 2,
"expr": "5*8",
"value": "40"
},
{
"step": 3,
"expr": "4*40",
"value": "160"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004194
|
train
|
Henry believes in the famous phrase, "An apple a day, keeps the doctor away." If a box contains 14 apples, how many weeks can Henry and his brother spend eating 3 boxes of apples if they each eat 1 apple a day?
|
There are a total of 14 apples/box x 3 boxes = <calculate step="1">14*3</calculate><result step="1">42</result> apples in the 3 boxes.
So, Henry and his brother each have 42 apples / 2 people = <calculate step="2">42/2</calculate><result step="2">21</result> apples/person to consume.
Since there are 7 days in a week, thus, both of them can consume the 3 boxes of apples in 21 / 7 = 3 weeks.
#### 3
|
3
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "14*3",
"value": "42"
},
{
"step": 2,
"expr": "42/2",
"value": "21"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004195
|
train
|
Katy participated in a summer reading program at her local library. She read 8 books in June, twice as many in July and three fewer in August than she did in July. How many books did Katy read during the summer?
|
Katy read twice as many books in July as she did in June, so she read 2 * 8 = <calculate step="1">2*8</calculate><result step="1">16</result> books in July.
She read three fewer books in August than she did in July, so she read 16 - 3 = <calculate step="2">16-3</calculate><result step="2">13</result> books in August.
So, including June, she read 8 + 16 + 13 = <calculate step="3">8+16+13</calculate><result step="3">37</result> books total
#### 37
|
37
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "2*8",
"value": "16"
},
{
"step": 2,
"expr": "16-3",
"value": "13"
},
{
"step": 3,
"expr": "8+16+13",
"value": "37"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004196
|
train
|
A gecko lays 30 eggs per year. 20 percent of them are infertile, and a third of the remaining eggs will not hatch due to calcification issues. How many eggs actually hatch?
|
Infertile:30(.20)=6
30-6=<calculate step="1">30-6</calculate><result step="1">24</result> eggs remain
Calcification Issues:24(1/3)=8
24-8=<calculate step="2">24-8</calculate><result step="2">16</result> eggs that will hatch
#### 16
|
16
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "30-6",
"value": "24"
},
{
"step": 2,
"expr": "24-8",
"value": "16"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004197
|
train
|
Chantal knits sweaters to sell. Each sweater takes 4 balls of yarn. Each ball of yarn costs $6. How much money will Chantal gain in all 28 sweaters if she sells each sweater for $35?
|
The 28 sweaters need 28 x 4 = <calculate step="1">28*4</calculate><result step="1">112</result> balls of yarn.
So, Chantal will spend 112 x $6 = $<calculate step="2">112*6</calculate><result step="2">672</result> in all for the balls of yarn.
Her total earnings for selling 28 sweaters is $35 x 28 = $<calculate step="3">35*28</calculate><result step="3">980</result>.
Therefore, Chantal will gain $980 - $672 = $<calculate step="4">980-672</calculate><result step="4">308</result>.
#### 308
|
308
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "28*4",
"value": "112"
},
{
"step": 2,
"expr": "112*6",
"value": "672"
},
{
"step": 3,
"expr": "35*28",
"value": "980"
},
{
"step": 4,
"expr": "980-672",
"value": "308"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004198
|
train
|
A party store ordered 5 boxes of balloons. Each box contains 8 bags of balloons, and there are 12 balloons in each bag. How many balloons are there?
|
The five boxes have a total of 5 x 8 = <calculate step="1">5*8</calculate><result step="1">40</result> bags of balloons.
So, there are 40 x 12 = <calculate step="2">40*12</calculate><result step="2">480</result> balloons.
#### 480
|
480
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "5*8",
"value": "40"
},
{
"step": 2,
"expr": "40*12",
"value": "480"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-004199
|
train
|
Jenn is saving up money to buy a bike. She has 5 jars full of quarters. Each jar can hold 160 quarters. If the bike costs 180 dollars, how much money will she have left over after buying it?
|
Jenn has 5 * 160 = <calculate step="1">5*160</calculate><result step="1">800</result> quarters.
The quarters are worth 800 * 0.25 = <calculate step="2">800*0.25</calculate><result step="2">200</result> dollars.
After buying the bike she will have 200 - 180 = <calculate step="3">200-180</calculate><result step="3">20</result> dollars left.
#### 20
|
20
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "5*160",
"value": "800"
},
{
"step": 2,
"expr": "800*0.25",
"value": "200"
},
{
"step": 3,
"expr": "200-180",
"value": "20"
}
],
"skipped_reasons": [],
"warnings": []
}
|
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