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-002800
|
train
|
There are 20 boys and 11 girls in the second grade and twice that number in the third grade. How many students are in grades 2 and 3?
|
There are 20 + 11 = <calculate step="1">20+11</calculate><result step="1">31</result> students in second grade.
There are 31 x 2 = <calculate step="2">31*2</calculate><result step="2">62</result> students in third grade.
In total, there are 31 + 62 = <calculate step="3">31+62</calculate><result step="3">93</result> students.
#### 93
|
93
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "20+11",
"value": "31"
},
{
"step": 2,
"expr": "31*2",
"value": "62"
},
{
"step": 3,
"expr": "31+62",
"value": "93"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002801
|
train
|
Borgnine wants to see 1100 legs at the zoo. He has already seen 12 chimps, 8 lions, and 5 lizards. He is next headed to see the tarantulas. How many tarantulas does he need to see to meet his goal?
|
He has seen 48 chimp legs because 12 x 4 = <calculate step="1">12*4</calculate><result step="1">48</result>
He has seen 32 lion legs because 8 x 4 = <calculate step="2">8*4</calculate><result step="2">32</result>
He has seen 20 lizard legs because 5 x 4 = <calculate step="3">5*4</calculate><result step="3">20</result>
He has seen 100 total legs because 48 + 32 + 20 = <calculate step="4">48+32+20</calculate><result step="4">100</result>
He has to see 1000 tarantulas legs because 1100- 100 = <<1100-100=1000>>1000
He has to see 125 tarantulas because 1000/ 8 = <<1000/8=125>>125
#### 125
|
125
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "12*4",
"value": "48"
},
{
"step": 2,
"expr": "8*4",
"value": "32"
},
{
"step": 3,
"expr": "5*4",
"value": "20"
},
{
"step": 4,
"expr": "48+32+20",
"value": "100"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002802
|
train
|
A spiral notebook costs $15, and a personal planner costs $10. How much would it cost in total to buy 4 spiral notebooks and 8 personal planners at a 20% discount?
|
If a spiral notebook cost $15, a 20% discount would reduce the price by 20/100 *15 = $<calculate step="1">15*0.2</calculate><result step="1">3</result>
At a 20% discount, the buying price of a spiral notebook book is $15-$3= $<calculate step="2">15-3</calculate><result step="2">12</result>
At the same discount, a personal planner cost would reduce by 20/100 * $10 = $<calculate step="3">20/100*10</calculate><result step="3">2</result>
The new buying price of a personal planner will be $10-$2 =$<calculate step="4">10-2</calculate><result step="4">8</result>
To buy four spiral notebooks at a 20% discount, you'll pay 4*$12 = $<<4*12=48>>48
At the same time discount, you'll buy eight personal planners at a cost pf 8*$8 = <<8*8=64>>64
In total, to buy eight personal planners and four spiral notebooks, you'd have to pay $64+$48 = $112
#### 112
|
112
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "15*0.2",
"value": "3"
},
{
"step": 2,
"expr": "15-3",
"value": "12"
},
{
"step": 3,
"expr": "20/100*10",
"value": "2"
},
{
"step": 4,
"expr": "10-2",
"value": "8"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002803
|
train
|
Todd has $20. He buys 4 candy bars that cost $2 each. How much money in dollars does Todd have left?
|
The candy bars cost 4*2= $<calculate step="1">4*2</calculate><result step="1">8</result>.
Todd has 20-8= $<calculate step="2">20-8</calculate><result step="2">12</result> left.
#### 12
|
12
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "4*2",
"value": "8"
},
{
"step": 2,
"expr": "20-8",
"value": "12"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002804
|
train
|
Trent cries 2 tears for every three onions he chops. He needs to chop 4 onions per pot of soup. If he's making 6 pots of soup, how many tears does he cry?
|
First find how many onions total Trent needs to chop: 4 onions/pot * 6 pots = <calculate step="1">4*6</calculate><result step="1">24</result> onions
Then divide that number by three onions per 2 tears to find how many sets of two tears Trent cries: 24 onions / 3 onions = <calculate step="2">24/3</calculate><result step="2">8</result>
Then multiply that number by the number of tears per set to find the total number of tears: 8 * 2 tears = <calculate step="3">8*2</calculate><result step="3">16</result> tears
#### 16
|
16
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "4*6",
"value": "24"
},
{
"step": 2,
"expr": "24/3",
"value": "8"
},
{
"step": 3,
"expr": "8*2",
"value": "16"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002805
|
train
|
Brittany has 3 gerbils: Puffy, Muffy, and Scruffy. Puffy weighs 5 ounces more than Muffy. Muffy weighs 3 ounces less than Scruffy. If Scruffy weighs 12 ounces, how much would the scale indicate, in ounces, if Brittany put Puffy and Muffy on the scale?
|
Muffy weighs 12 - 3 = <calculate step="1">12-3</calculate><result step="1">9</result> ounces
Puffy weighs 5 + 9 = <calculate step="2">5+9</calculate><result step="2">14</result> ounces.
If Brittany weighs both Puffy and Muffy, the scale would read 9 + 14 = <calculate step="3">9+14</calculate><result step="3">23</result> ounces
#### 23
|
23
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "12-3",
"value": "9"
},
{
"step": 2,
"expr": "5+9",
"value": "14"
},
{
"step": 3,
"expr": "9+14",
"value": "23"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002806
|
train
|
John buys 4 pounds of beef. He uses all but 1 pound in soup. He uses twice as many pounds of vegetables as beef. How many pounds of vegetables did he use?
|
He used 4-1=<calculate step="1">4-1</calculate><result step="1">3</result> pounds of beef
So he used 3*2=<calculate step="2">3*2</calculate><result step="2">6</result> pounds of vegetables
#### 6
|
6
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "4-1",
"value": "3"
},
{
"step": 2,
"expr": "3*2",
"value": "6"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002807
|
train
|
Osborn is testing a new way to get dressed in the morning on school days so he goes faster and can get up later. He tracks his time for the week and on Monday is takes him 2 minutes. On Tuesday it takes him 4 minutes. On Wednesday it takes him 3 minutes. On Thursday it takes him 4 minutes. Before Friday arrives he looks at his old way of getting dressed and sees that it was taking him 3 minutes on average to get dressed. How fast does he have to get dressed on Friday so his weekly average ties his old method?
|
If it takes on average 3 minutes to get dressed, then it takes 15 minutes total on the school week because 5 x 3 = <calculate step="1">15</calculate><result step="1">15</result>
Thus far this week it has taken him 13 minutes to get dressed because 2 + 4 + 3 + 4 = <calculate step="2">13</calculate><result step="2">13</result>
To tie his previous method, he needs to take 2 minutes on Friday because 15 - 13 = <calculate step="3">15-13</calculate><result step="3">2</result>
#### 2
|
2
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "15",
"value": "15"
},
{
"step": 2,
"expr": "13",
"value": "13"
},
{
"step": 3,
"expr": "15-13",
"value": "2"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002808
|
train
|
Rob and Mark plan to meet at the national park. It takes 1 hour for Rob to get to the national park and it takes three times as much time for Mark to get to the national park. If Rob leaves his home at 11 a.m., at what time should Mark leave his home so that they both arrive at the same time?
|
It takes 1 hour * 3 = <calculate step="1">1*3</calculate><result step="1">3</result> hours for Mark to get to the national park.
The extra time it takes Mark to get to the national park is 3 hours - 1 hour = <calculate step="2">3-1</calculate><result step="2">2</result> hours
Mark should leave his home at 11 a.m. - 2 hours = <calculate step="3">11-2</calculate><result step="3">9</result> a.m.
#### 9
|
9
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "1*3",
"value": "3"
},
{
"step": 2,
"expr": "3-1",
"value": "2"
},
{
"step": 3,
"expr": "11-2",
"value": "9"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002809
|
train
|
Jenny's property tax rate is 2%. Her house is currently worth $400,000. The city is about to build a new high-speed rail project nearby, which will increase her house's value by 25%. Jenny can only afford to spend $15,000/year on property tax. How many dollars worth of improvements can she make to her house before her property tax bill gets too high?
|
First find how much the rail project will increase the house value by multiplying the initial value by 25%: $400,000 * .25 = $<calculate step="1">400000*.25</calculate><result step="1">100000</result>,000
Then add that amount to the initial value to find the new value: $100,000 + $400,000 = $<calculate step="2">100000+400000</calculate><result step="2">500000</result>,000
Then divide the maximum amount of property tax Jenny can afford to pay by the property tax rate to find the maximum value her house can have: $15,000 / .02 = $<calculate step="3">15000/.02</calculate><result step="3">750000</result>,000
Now subtract the house's value after the rail project from the maximum value to find how much value the improvements can have: $750,000 - $500,000 = $<calculate step="4">750000-500000</calculate><result step="4">250000</result>,000
#### 250000
|
250000
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "400000*.25",
"value": "100000"
},
{
"step": 2,
"expr": "100000+400000",
"value": "500000"
},
{
"step": 3,
"expr": "15000/.02",
"value": "750000"
},
{
"step": 4,
"expr": "750000-500000",
"value": "250000"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002810
|
train
|
If there are four times as many red crayons as blue crayons in a box, and there are 3 blue crayons. How many crayons total are in the box?
|
Red crayons: 4(3)=12
Total crayons: 12+3=<calculate step="1">12+3</calculate><result step="1">15</result> crayons
#### 15
|
15
|
{
"num_steps": 1,
"steps": [
{
"step": 1,
"expr": "12+3",
"value": "15"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002811
|
train
|
Brenda raises mice, and her adult mice recently had three litters of 8 each. She gave a sixth of the baby mice to her friend Robbie to keep as pets. She sold three times the number of babies she gave Robbie to a pet store. Half of the remaining mice were sold to snake owners as feeder mice. How many baby mice did Brenda have left?
|
Brenda’s mice had 3 * 8 = <calculate step="1">3*8</calculate><result step="1">24</result> baby mice.
She gave Robbie 24 / 6 = <calculate step="2">24/6</calculate><result step="2">4</result> mice.
Thus, she sold 3 * 4 = <calculate step="3">3*4</calculate><result step="3">12</result> mice to the pet store.
She had 24 - 12 - 4 = <calculate step="4">24-12-4</calculate><result step="4">8</result> mice remaining.
She sold 8 / 2 = <<8/2=4>>4 as feeder mice.
Thus, Brenda had 8 - 4 = <<8-4=4>>4 mice left.
#### 4
|
4
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "3*8",
"value": "24"
},
{
"step": 2,
"expr": "24/6",
"value": "4"
},
{
"step": 3,
"expr": "3*4",
"value": "12"
},
{
"step": 4,
"expr": "24-12-4",
"value": "8"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002812
|
train
|
A magazine costs $3 each. Jewel bought 10 magazines to be sold at $3.50 each. How much will be Jewel gain from selling these?
|
Jewel's gain for each magazine is $3.50 - $3 = $<calculate step="1">3.5-3</calculate><result step="1">1/2</result>.
Thus, her total gain will be $0.50 x 10 = $<calculate step="2">0.50*10</calculate><result step="2">5</result>.
#### 5
|
5
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "3.5-3",
"value": "1/2"
},
{
"step": 2,
"expr": "0.50*10",
"value": "5"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002813
|
train
|
Leila went to the supermarket to get some groceries. Then she headed to her mechanic to get her automobile fixed. If fixing her automobile cost $350 which was $50 more than thrice the amount she spent at the supermarket, how much has she spent altogether?
|
Reversing the steps to obtain the amount she spent at the supermarket, $50 less than $350 is $350-$50 = $<calculate step="1">350-50</calculate><result step="1">300</result>
If $300 was thrice the amount she spent at the supermarket, then the amount spent at the supermarket was $300/3 = $<calculate step="2">300/3</calculate><result step="2">100</result>
In addition to what she spent fixing her auto, she spent $100+$350 = $<calculate step="3">100+350</calculate><result step="3">450</result> altogether
#### 450
|
450
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "350-50",
"value": "300"
},
{
"step": 2,
"expr": "300/3",
"value": "100"
},
{
"step": 3,
"expr": "100+350",
"value": "450"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002814
|
train
|
On a shopping trip in a crowded store, Josie had to wait 3 minutes for a cart, 13 minutes for an employee to unlock a cabinet to get her a product, 14 minutes for a stocker to restock a shelf with what she wanted, and 18 minutes in line to check out. Her shopping trip took an hour and a half. How many minutes did Josie spend shopping instead of waiting?
|
There are 60 minutes in an hour, so the trip took 1 1/2 * 60 = 90 minutes.
Josie spent 3 + 13 + 14 + 18 = <calculate step="1">3+13+14+18</calculate><result step="1">48</result> minutes waiting.
Thus, she spent 90 - 48 = <calculate step="2">90-48</calculate><result step="2">42</result> minutes shopping.
#### 42
|
42
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "3+13+14+18",
"value": "48"
},
{
"step": 2,
"expr": "90-48",
"value": "42"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002815
|
train
|
In 10 years, Terry will be 4 times the age that Nora is currently. If Nora is currently 10 years old, how old is Terry now?
|
Terry will be 4*10=<calculate step="1">4*10</calculate><result step="1">40</result> years old in 10 years
Currently, Terry is 40-10 = <calculate step="2">40-10</calculate><result step="2">30</result> years old.
#### 30
|
30
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "4*10",
"value": "40"
},
{
"step": 2,
"expr": "40-10",
"value": "30"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002816
|
train
|
A frog lays 800 eggs a year. 10 percent dry up, and 70 percent are eaten. 1/4 of the remaining eggs end up hatching, how many frogs hatch out of the 800?
|
Dried up:800(.10)=80 eggs
800(.70)=560 eggs
Total left:800-80-560=<calculate step="1">800-80-560</calculate><result step="1">160</result> eggs
160/4=<calculate step="2">160/4</calculate><result step="2">40</result> eggs survive to hatch
#### 40
|
40
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "800-80-560",
"value": "160"
},
{
"step": 2,
"expr": "160/4",
"value": "40"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002817
|
train
|
Elvis is releasing a new album with 10 songs, but he doesn't want to waste too much time on writing. He spends 5 hours in the studio, where he writes, records, and edits his songs. Each song takes 12 minutes to record, then it takes 30 minutes to edit all of his songs. How many minutes did it take Elvis to write each song, if each song took the same amount of time to write?
|
5 hours in the studio is the same as 5 * 60 = <calculate step="1">5*60</calculate><result step="1">300</result> minutes.
To record all of his songs, Elvis takes 12 * 10 = <calculate step="2">12*10</calculate><result step="2">120</result> minutes.
After editing and recording 300 – 120 – 30 = <calculate step="3">300-120-30</calculate><result step="3">150</result> minutes are left to write all of his songs.
Songwriting therefore took 150 / 10 = <calculate step="4">150/10</calculate><result step="4">15</result> minutes per song.
#### 15
|
15
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "5*60",
"value": "300"
},
{
"step": 2,
"expr": "12*10",
"value": "120"
},
{
"step": 3,
"expr": "300-120-30",
"value": "150"
},
{
"step": 4,
"expr": "150/10",
"value": "15"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002818
|
train
|
Teresa scored 70 marks in science, 80 in music, 85 in social studies, and the physics exam, which was the hardest test that Teresa had ever taken in her entire life, she scored half as many marks as she scored in music. Calculate the total marks Teresa scored in all the subjects.
|
The total marks of science and music are 70+80 = <calculate step="1">70+80</calculate><result step="1">150</result>
When you add the marks she scored in social studies, the full marks become 150+85 = <calculate step="2">150+85</calculate><result step="2">235</result>.
She scored half as many marks in physics as she scored music, totaling 1/2*80 = 40 marks.
When you add the marks she scored in physics to the total marks of the other subjects, the full marks become 235+40 = <calculate step="3">235+40</calculate><result step="3">275</result>
#### 275
|
275
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "70+80",
"value": "150"
},
{
"step": 2,
"expr": "150+85",
"value": "235"
},
{
"step": 3,
"expr": "235+40",
"value": "275"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002819
|
train
|
Brian likes to read books. He read one book that had 20 chapters, two books that had 15 chapters each, and one book that had half the chapters of the three previous books put together. How many chapters of books did Brian read?
|
Brian read two books with 15 chapters, so he read 2*15=<calculate step="1">2*15</calculate><result step="1">30</result> chapters.
He also read a book with 20 chapters, bringing the total for the first three to 30+20=<calculate step="2">30+20</calculate><result step="2">50</result> chapters.
He then read a book with half the chapters of his cumulative total so far, so it had 50/2=<calculate step="3">50/2</calculate><result step="3">25</result> chapters
In total, he read 30+20+25=<calculate step="4">30+20+25</calculate><result step="4">75</result> chapters.
#### 75
|
75
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "2*15",
"value": "30"
},
{
"step": 2,
"expr": "30+20",
"value": "50"
},
{
"step": 3,
"expr": "50/2",
"value": "25"
},
{
"step": 4,
"expr": "30+20+25",
"value": "75"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002820
|
train
|
Ruth is counting the number of spots on her cow. The cow has 16 spots on its left side and three times that number plus 7 on its right side. How many spots does it have total?
|
First multiply the number of spots on the left side by 3: 16 spots * 3 = <calculate step="1">16*3</calculate><result step="1">48</result> spots
Then add 7 to find the number of spots on the right side: 48 spots + 7 spots = <calculate step="2">48+7</calculate><result step="2">55</result> spots
Then add the number of spots on each side to find the total number of spots: 55 spots + 16 spots = <calculate step="3">55+16</calculate><result step="3">71</result> spots
#### 71
|
71
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "16*3",
"value": "48"
},
{
"step": 2,
"expr": "48+7",
"value": "55"
},
{
"step": 3,
"expr": "55+16",
"value": "71"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002821
|
train
|
Matt orders 15 pounds of beef. He cuts that into 12-ounce steaks. How many steaks does he get?
|
He buys 15*16=<calculate step="1">15*16</calculate><result step="1">240</result> ounces of steak
That means he buys 240/12=<calculate step="2">240/12</calculate><result step="2">20</result> steaks
#### 20
|
20
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "15*16",
"value": "240"
},
{
"step": 2,
"expr": "240/12",
"value": "20"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002822
|
train
|
Jennifer will be 30 years old in ten years. At that time, her sister Jordana will be three times as old Jennifer. How old is Jennifer's sister now?
|
When Jennifer is 30 years old in ten years, her sister Jordana will be 3*30=90 years old.
She's currently 10 years younger, so she's 90 - 10 = 80 years old
#### 80
|
80
|
{
"num_steps": 0,
"steps": [],
"skipped_reasons": [],
"warnings": []
}
|
train-002823
|
train
|
Merry had 50 boxes of apples on Saturday and 25 boxes on Sunday. There were 10 apples in each box. If she sold a total of 720 apples on Saturday and Sunday, how many boxes of apples are left?
|
Merry had a total of 50 + 25 = <calculate step="1">50+25</calculate><result step="1">75</result> boxes of apples.
These 75 boxes is equal to 75 x 10 = <calculate step="2">75*10</calculate><result step="2">750</result> apples.
There were 750 - 720 = <calculate step="3">750-720</calculate><result step="3">30</result> apples left.
Thus, 30/10 = <calculate step="4">30/10</calculate><result step="4">3</result> boxes of apples are left.
#### 3
|
3
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "50+25",
"value": "75"
},
{
"step": 2,
"expr": "75*10",
"value": "750"
},
{
"step": 3,
"expr": "750-720",
"value": "30"
},
{
"step": 4,
"expr": "30/10",
"value": "3"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002824
|
train
|
A taco truck buys 100 pounds of beef. They use .25 pounds of beef per taco. If they sell each taco for $2 and each taco takes $1.5 to make how much profit did they make if they used all the beef?
|
They made 100/.25=<calculate step="1">100/.25</calculate><result step="1">400</result> tacos
Each taco gives a profit of 2-1.5=$<calculate step="2">2-1.5</calculate><result step="2">1/2</result>.5
So they made a profit of 400*.5=$<calculate step="3">400*.5</calculate><result step="3">200</result>
#### 200
|
200
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "100/.25",
"value": "400"
},
{
"step": 2,
"expr": "2-1.5",
"value": "1/2"
},
{
"step": 3,
"expr": "400*.5",
"value": "200"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002825
|
train
|
A man owned 1/2 of a lot. He sold 1/10 of his share for the amount of $460. What is the worth of the entire lot?
|
If 1/10 of the man's lot is equal to $460, then the man's land is worth $460 x 10 = $<calculate step="1">460*10</calculate><result step="1">4600</result>.
Since 1/2 of the whole lot is worth $4600, then the whole lot is worth $4600 x 2 = $<calculate step="2">4600*2</calculate><result step="2">9200</result>.
#### 9200
|
9200
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "460*10",
"value": "4600"
},
{
"step": 2,
"expr": "4600*2",
"value": "9200"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002826
|
train
|
Sarah wants to start a cupcake business and was approved for a business loan. The loan has 0% interest if she pays the entire amount back in 5 years, which she decides to do. If she put $10,000 down as a down payment and her monthly payments are $600.00, how much was her loan for (including the down payment)?
|
To avoid interest she'll make payments for 5 years. There are 12 months in 1 year so that's 5*12 = <calculate step="1">5*12</calculate><result step="1">60</result> months
Each monthly payment is $600.00 and she'll pay that for 60 months for a total of 600*60 = $<calculate step="2">600*60</calculate><result step="2">36000</result>,000
She also put $10,000 down as a down payment and her monthly payments came out to $36,000 so her loan was for 10000+36000 = $<calculate step="3">10000+36000</calculate><result step="3">46000</result>,000
#### 46000
|
46000
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "5*12",
"value": "60"
},
{
"step": 2,
"expr": "600*60",
"value": "36000"
},
{
"step": 3,
"expr": "10000+36000",
"value": "46000"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002827
|
train
|
In five years, Grant will be 2/3 the age of the hospital that he is hired into. If Grant is currently 25 years old, how old is the hospital now?
|
If Grant is currently 25 years old, he will be 25+5 = <calculate step="1">25+5</calculate><result step="1">30</result> years old in five years.
If 2/3 represents Grant's age in five years, then the fraction representing the number of years the hospital is older than Grant is 1-2/3 = 1/3
If 2/3 represents 30 years, 3/3, which is the fraction representing the age of the hospital, represents 3/3*30*3/2 = 45 years.
Currently, the hospital is 45-5 = <calculate step="2">45-5</calculate><result step="2">40</result> years old.
#### 40
|
40
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "25+5",
"value": "30"
},
{
"step": 2,
"expr": "45-5",
"value": "40"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002828
|
train
|
Adam has 18 magnets. He gave away a third of the magnets, and he still had half as many magnets as Peter. How many magnets does Peter have?
|
Adam gave away 18/3 = <calculate step="1">18/3</calculate><result step="1">6</result> magnets.
Adam had 18-6 = <calculate step="2">18-6</calculate><result step="2">12</result> magnets left.
Peter has 12*2 = <calculate step="3">12*2</calculate><result step="3">24</result> magnets.
#### 24
|
24
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "18/3",
"value": "6"
},
{
"step": 2,
"expr": "18-6",
"value": "12"
},
{
"step": 3,
"expr": "12*2",
"value": "24"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002829
|
train
|
Rob planned on spending three hours reading in preparation for his literature exam. If he ends up spending only three-quarters of this time reading, and he reads a page every fifteen minutes, how many pages did he read in this time?
|
1 hour is 60 minutes so 3 hours is 3*60 = <calculate step="1">3*60</calculate><result step="1">180</result> minutes
Three-quarters of 180 minutes is (3/4)*180 = <calculate step="2">(3/4)*180</calculate><result step="2">135</result> minutes
He spends 15 minutes on 1 page so he will spend 135 minutes on 135/15 = <calculate step="3">135/15</calculate><result step="3">9</result> pages
#### 9
|
9
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "3*60",
"value": "180"
},
{
"step": 2,
"expr": "(3/4)*180",
"value": "135"
},
{
"step": 3,
"expr": "135/15",
"value": "9"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002830
|
train
|
Derek finally gets his own allowance. He puts $2 away in January, $4 away in February, $8 away in March, $16 away in April and follows this savings pattern through to December. How much money does he have to spare and save by December?
|
Derek doubles his allowance savings each month, so in May, Derek has $16 * 2 = $<calculate step="1">16*2</calculate><result step="1">32</result>.
In June, Derek has $32 * 2 = $<calculate step="2">32*2</calculate><result step="2">64</result>.
In July, Derek has $64 * 2 = $<calculate step="3">64*2</calculate><result step="3">128</result>.
In August, Derek has $128 * 2 = $<calculate step="4">128*2</calculate><result step="4">256</result>.
In September, Derek has $256 * 2 = $<<256*2=512>>512.
In October, Derek has $512 * 2 = $<<512*2=1024>>1024.
In November, Derek has $1024 * 2 = $<<1024*2=2048>>2048.
By December, Derek has $2048 * 2 = $<<2048*2=4096>>4096 to save.
#### 4096
|
4096
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "16*2",
"value": "32"
},
{
"step": 2,
"expr": "32*2",
"value": "64"
},
{
"step": 3,
"expr": "64*2",
"value": "128"
},
{
"step": 4,
"expr": "128*2",
"value": "256"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002831
|
train
|
Mandy researched 42 med schools. She applied to 1/3 of the schools she researched and got into half of the schools where she applied. How many schools was Mandy accepted to?
|
First find the number of schools Mandy applied to: 42 med schools / 3 = <calculate step="1">42/3</calculate><result step="1">14</result> med schools
Then divide that number by 2 to find the number of schools where she was accepted: 14 med schools / 2 = <calculate step="2">14/2</calculate><result step="2">7</result> med schools
#### 7
|
7
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "42/3",
"value": "14"
},
{
"step": 2,
"expr": "14/2",
"value": "7"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002832
|
train
|
During April, the baker sold 453 cakes at $12 and 126 pies at $7. How much did the baker earn?
|
The baker sold cakes for 453 * 12 = $<calculate step="1">453*12</calculate><result step="1">5436</result>.
And pies for 126 * 7 = $<calculate step="2">126*7</calculate><result step="2">882</result>.
In total the baker earned 5436 + 882 = $<calculate step="3">5436+882</calculate><result step="3">6318</result>.
#### 6318
|
6318
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "453*12",
"value": "5436"
},
{
"step": 2,
"expr": "126*7",
"value": "882"
},
{
"step": 3,
"expr": "5436+882",
"value": "6318"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002833
|
train
|
Annie does a survey of the sixth-grade classes to see who prefers pretzels to goldfish. In Miss Johnson's class, 1/6 of the students preferred goldfish. In Mr. Feldstein's class, 2/3rds of the students preferred goldfish. In Ms. Henderson's class, 1/5 of the students prefer goldfish. If each class has 30 students, how many people total prefer goldfish?
|
First find the number of students in Mr. Feldstein's class who prefer goldfish: 2/3 * 30 students = <calculate step="1">2/3*30</calculate><result step="1">20</result> students
Then find the number of students in Mr. Feldstein's class who prefer goldfish: 1/6 * 30 students = <calculate step="2">1/6*30</calculate><result step="2">5</result> students
Then find the number of students in Ms. Henderson's class who prefer goldfish: 1/5 * 30 students = <calculate step="3">1/5*30</calculate><result step="3">6</result> students
Then add the number of students from each class who prefer goldfish to find the total: 20 students + 5 students + 6 students = <calculate step="4">20+5+6</calculate><result step="4">31</result> students
#### 31
|
31
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "2/3*30",
"value": "20"
},
{
"step": 2,
"expr": "1/6*30",
"value": "5"
},
{
"step": 3,
"expr": "1/5*30",
"value": "6"
},
{
"step": 4,
"expr": "20+5+6",
"value": "31"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002834
|
train
|
The number of math problems that Marvin practiced today is three times as many as the number of problems he solved yesterday. His friend, Arvin, has practiced twice as many math problems on each day. How many math problems have they practiced altogether if Marvin solved 40 math problems yesterday?
|
If Marvin solved 40 math problems yesterday, he has solved 40*3 = <calculate step="1">40*3</calculate><result step="1">120</result> math problems today.
The total number of math problems that Marvin has practiced is 120+40 = <calculate step="2">120+40</calculate><result step="2">160</result>
Arvin has practiced twice as many as Marvin, so has practiced 160 * 2 = <calculate step="3">160*2</calculate><result step="3">320</result> problems.
Together, Marvin and Arvin have solved 320+160 = <calculate step="4">320+160</calculate><result step="4">480</result> math problems.
#### 480
|
480
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "40*3",
"value": "120"
},
{
"step": 2,
"expr": "120+40",
"value": "160"
},
{
"step": 3,
"expr": "160*2",
"value": "320"
},
{
"step": 4,
"expr": "320+160",
"value": "480"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002835
|
train
|
Surfers enjoy going to the Rip Curl Myrtle Beach Surf Festival. There were 1500 surfers at the Festival on the first day, 600 more surfers on the second day than the first day, and 2/5 as many surfers on the third day as the first day. What is the average number of surfers at the Festival for the three days?
|
If there were 1500 surfers on the first day, the total for the second day is 1500 surfers + 600 surfers = <calculate step="1">1500+600</calculate><result step="1">2100</result> surfers
On the third day, the number of surfers was 2/5 * 1500 surfers = <calculate step="2">2/5*1500</calculate><result step="2">600</result> surfers
The total number of surfers at the Festival in the three days was 1500 surfers + 2100 surfers + 600 surfers = <calculate step="3">1500+2100+600</calculate><result step="3">4200</result> surfers
The average number of surfers at the Beach Surf Festival for the three days is 4200 surfers / 3 days = <calculate step="4">4200/3</calculate><result step="4">1400</result> surfers/day
#### 1400
|
1400
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "1500+600",
"value": "2100"
},
{
"step": 2,
"expr": "2/5*1500",
"value": "600"
},
{
"step": 3,
"expr": "1500+2100+600",
"value": "4200"
},
{
"step": 4,
"expr": "4200/3",
"value": "1400"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002836
|
train
|
During his summer break, Luke catches 2 fish every day for 30 days. If each fish gives him 2 fillets, then how many fish fillets does he have?
|
He catches 2 fish every day for 30 days so he catches 2*30 = <calculate step="1">2*30</calculate><result step="1">60</result> fish
Each fish yields 2 fillets so he has 2*60 = <calculate step="2">2*60</calculate><result step="2">120</result> fish fillets
#### 120
|
120
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "2*30",
"value": "60"
},
{
"step": 2,
"expr": "2*60",
"value": "120"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002837
|
train
|
Ali is a baker. Leila ordered 3 chocolate cakes for $12 each and 6 strawberry cakes for $22 each. How much should Leila pay Ali?
|
For the chocolate cakes: Leila should pay: 12 * 3 = $<calculate step="1">12*3</calculate><result step="1">36</result>
For the strawberry cakes: Leila should pay: 22 * 6 = $<calculate step="2">22*6</calculate><result step="2">132</result>
Combining the chocolate cakes and strawberry cakes, Leila should pay: 36 +132 = $<calculate step="3">36+132</calculate><result step="3">168</result>
#### 168
|
168
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "12*3",
"value": "36"
},
{
"step": 2,
"expr": "22*6",
"value": "132"
},
{
"step": 3,
"expr": "36+132",
"value": "168"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002838
|
train
|
Lionel walked 4 miles. Esther walked 975 yards and Niklaus walked 1287 feet. How many combined feet did the friends walk?
|
Lionel = 4 * 5280 = <calculate step="1">4*5280</calculate><result step="1">21120</result> feet
Esther = 975 * 3 = <calculate step="2">975*3</calculate><result step="2">2925</result> feet
Together = 21120 + 2925 + 1287 = <calculate step="3">21120+2925+1287</calculate><result step="3">25332</result> feet
Together the friends walked 25332 feet.
#### 25332
|
25332
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "4*5280",
"value": "21120"
},
{
"step": 2,
"expr": "975*3",
"value": "2925"
},
{
"step": 3,
"expr": "21120+2925+1287",
"value": "25332"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002839
|
train
|
Jacob is making s'mores. Each s'more takes two graham crackers and one marshmallow. If Jacob has 48 graham crackers and 6 marshmallows, how many more marshmallows does he need to buy?
|
First find the number of marshmallows Jacob needs: 48 graham crackers / 2 graham crackers/marshmallow = <calculate step="1">48/2</calculate><result step="1">24</result> marshmallows
Then subtract the number of marshmallows Jacob already has from the number he needs to find the number he needs to buy: 24 marshmallows - 6 marshmallows = <calculate step="2">24-6</calculate><result step="2">18</result> marshmallows
#### 18
|
18
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "48/2",
"value": "24"
},
{
"step": 2,
"expr": "24-6",
"value": "18"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002840
|
train
|
In a parking lot, there are cars and motorcycles. Each car has 5 wheels (including one spare) and each motorcycle has 2 wheels. There are 19 cars in the parking lot. Altogether all vehicles have 117 wheels. How many motorcycles are at the parking lot?
|
There are 19 cars at the lot, so there are 5 * 19 = <calculate step="1">19*5</calculate><result step="1">95</result> wheels of cars.
So there are 117 - 95 = <calculate step="2">117-95</calculate><result step="2">22</result> wheels of motorcycles in the parking lot.
Each motorcycle has 2 wheels, so that leaves us with 22 / 2 = <calculate step="3">22/2</calculate><result step="3">11</result> motorcycles in the parking lot.
#### 11
|
11
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "19*5",
"value": "95"
},
{
"step": 2,
"expr": "117-95",
"value": "22"
},
{
"step": 3,
"expr": "22/2",
"value": "11"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002841
|
train
|
Dolly wants to ride the Ferris wheel twice, the roller coaster three times, and the log ride seven times. The Ferris wheel costs 2 tickets, the roller coaster costs 5 tickets and the log ride costs 1 ticket. Dolly has 20 tickets. How many more tickets should Dolly buy?
|
It costs 2 rides x 2 tickets/ride = <calculate step="1">2*2</calculate><result step="1">4</result> tickets to ride the Ferris wheel twice.
It costs 3 rides x 5 tickets/ride = <calculate step="2">3*5</calculate><result step="2">15</result> tickets to ride the roller coaster three times.
It costs 7 rides x 1 ticket/ride = <calculate step="3">7*1</calculate><result step="3">7</result> tickets to ride the roller coaster seven times.
In total Dolly needs 4 tickets + 15 tickets + 7 tickets = <calculate step="4">4+15+7</calculate><result step="4">26</result> tickets.
Dolly needs to buy 26 tickets - 20 tickets = <<26-20=6>>6 more tickets.
#### 6
|
6
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "2*2",
"value": "4"
},
{
"step": 2,
"expr": "3*5",
"value": "15"
},
{
"step": 3,
"expr": "7*1",
"value": "7"
},
{
"step": 4,
"expr": "4+15+7",
"value": "26"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002842
|
train
|
Rachel solved 5 math problems each minute for 12 minutes before bed, but she didn't finish all of them. The next day, she finished the last 16 problems at lunch. How many math problems did she do in all?
|
Before going to bed, Rachel did a total of 5 × 12 = <calculate step="1">5*12</calculate><result step="1">60</result> problems.
In total Rachel did 60 + 16 = <calculate step="2">60+16</calculate><result step="2">76</result> maths problems.
#### 76
|
76
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "5*12",
"value": "60"
},
{
"step": 2,
"expr": "60+16",
"value": "76"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002843
|
train
|
Greg is riding his bike around town and notices that each block he rides, his wheels rotate 200 times. He's now on a a trail and wants to make sure he rides at least 8 blocks. His wheels have already rotated 600 times, how many more times do they need to rotate to reach his goal?
|
They need to rotate 1,600 times because 8 x 200 = <calculate step="1">8*200</calculate><result step="1">1600</result>,600
They need to rotate 1,000 more times because 1,600 - 600 = <calculate step="2">1600-600</calculate><result step="2">1000</result>,000
#### 1000
|
1000
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "8*200",
"value": "1600"
},
{
"step": 2,
"expr": "1600-600",
"value": "1000"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002844
|
train
|
Ethyl bought Lucy two new dolls for her doll collection. This increased the doll collection by 25%. After the addition of the two new dolls, how many dolls are in Lucy's collection?
|
Let's let "x" be the original number of dolls in Lucy's doll collection.
Then, 2 dolls equals an increase of 25%, and this can be written as x*0.25=<calculate step="1">2</calculate><result step="1">2</result>.
Solving for x we get x=2/0.25=<calculate step="2">2/0.25</calculate><result step="2">8</result> dolls in Lucy's original collection.
After the gift of two new dolls, Lucy's collection contains 8+2=<calculate step="3">8+2</calculate><result step="3">10</result> dolls.
#### 10
|
10
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "2",
"value": "2"
},
{
"step": 2,
"expr": "2/0.25",
"value": "8"
},
{
"step": 3,
"expr": "8+2",
"value": "10"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002845
|
train
|
A mosquito sucks 20 drops of blood every time it feeds on someone. If there are 5000 drops per liter and you have to lose 3 liters of blood to die, how many mosquitoes would have to feed on you to kill you?
|
First find the total number of liters a mosquito sucks in one feeding: 20 drops / 5000 drops/liter = <calculate step="1">20/5000</calculate><result step="1">1/250</result>.004 L/feeding
Then divide the lethal amount of blood by the amount of blood one mosquito can drain: 3 L / .004 L/feeding = <calculate step="2">3/.004</calculate><result step="2">750</result> feedings
#### 750
|
750
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "20/5000",
"value": "1/250"
},
{
"step": 2,
"expr": "3/.004",
"value": "750"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002846
|
train
|
Chris wanted to buy a new video game that costs $60 as well as an assortment of candy that costs $5. To earn the money, he agreed to babysit his little sister for $8 per hour. If he works 9 hours, how much money will be left over after he makes his purchases?
|
He wants to buy a $60 game and $5 of candy so 60 + 5 = $<calculate step="1">60+5</calculate><result step="1">65</result>
He will make $8 per hour of babysitting and will work 9 hours so 8 * 9 = $<calculate step="2">8*9</calculate><result step="2">72</result>
He made $72 and spent $65 so 72-65 = $<calculate step="3">72-65</calculate><result step="3">7</result> left over
#### 7
|
7
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "60+5",
"value": "65"
},
{
"step": 2,
"expr": "8*9",
"value": "72"
},
{
"step": 3,
"expr": "72-65",
"value": "7"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002847
|
train
|
GiGi took out a big bowl of mushrooms from the refrigerator. She cut each mushroom into 4 pieces. Her twins, Kenny and Karla sprinkled mushrooms on their pizzas and baked them in the oven. Kenny grabbed a handful and sprinkled 38 mushroom pieces on his pizza. Karla scooped them up with both hands and sprinkled 42 mushroom pieces on her pizza. On the cutting board, were 8 pieces of mushrooms remaining. How many mushrooms did GiGi cut up at the beginning?
|
Kenny used 38 / 4 = <calculate step="1">38/4</calculate><result step="1">19/2</result> mushrooms on his pizza.
Karla used 42 / 4 = <calculate step="2">42/4</calculate><result step="2">21/2</result> mushrooms on her pizza.
Together, the twins used 9.5 + 10.5 = <calculate step="3">9.5+10.5</calculate><result step="3">20</result> mushrooms.
There are 8 / 4 = <calculate step="4">8/4</calculate><result step="4">2</result> mushrooms left on the cutting board.
GiGi cut up 20 + 2 = <<20+2=22>>22 mushrooms at the beginning.
#### 22
|
22
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "38/4",
"value": "19/2"
},
{
"step": 2,
"expr": "42/4",
"value": "21/2"
},
{
"step": 3,
"expr": "9.5+10.5",
"value": "20"
},
{
"step": 4,
"expr": "8/4",
"value": "2"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002848
|
train
|
Jason and Jeremy want to paint their wall white and agreed to split the cost of the paint. A gallon of paint costs $45 and can cover up to 400 square feet. How much will each of them contribute to the cost of the paint if their walls have a total area of 1600 square feet and will need a second coat?
|
They need 1600 square feet / 400 square feet/gallon = <calculate step="1">1600/400</calculate><result step="1">4</result> gallons of paint for their walls.
Since they will do a second coating, then they would need 4 gallons x 2 = <calculate step="2">4*2</calculate><result step="2">8</result> gallons in all.
Eight gallons of paint will cost $45/gallon x 8 gallons = $<calculate step="3">45*8</calculate><result step="3">360</result>.
Thus, Jason and Jeremy will each contribute $360/2 = $<calculate step="4">360/2</calculate><result step="4">180</result>.
#### 180
|
180
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "1600/400",
"value": "4"
},
{
"step": 2,
"expr": "4*2",
"value": "8"
},
{
"step": 3,
"expr": "45*8",
"value": "360"
},
{
"step": 4,
"expr": "360/2",
"value": "180"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002849
|
train
|
For breakfast, Anna bought a bagel for $0.95 and a glass of orange juice for $0.85. At lunch, Anna spent $4.65 on a sandwich and $1.15 on a carton of milk. How much more money did Anna spend on lunch than on breakfast?
|
The total cost of breakfast is $0.95 + $0.85 = $<calculate step="1">0.95+0.85</calculate><result step="1">9/5</result>.
The total cost of lunch is $4.65 + $1.15 = $<calculate step="2">4.65+1.15</calculate><result step="2">29/5</result>.
Anna spent $5.80 − $1.80 = $4 more on lunch than breakfast.
#### 4
|
4
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "0.95+0.85",
"value": "9/5"
},
{
"step": 2,
"expr": "4.65+1.15",
"value": "29/5"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002850
|
train
|
Mr. John works at a shopping mall and receives a monthly income of $2000, but he spends approximately 5% of this amount on public transport to and from the mall in a month. How much will he have left after deducting his monthly transport fare from his income?
|
5% of $2000 is (5/100)*$2000 = $<calculate step="1">5/100*2000</calculate><result step="1">100</result>
After removing his transport fare, he will have $2000-$100 = $1900 left
#### 1900
|
1900
|
{
"num_steps": 1,
"steps": [
{
"step": 1,
"expr": "5/100*2000",
"value": "100"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002851
|
train
|
Aaron, Henry's brother, is 15 years old. Henry's sister is three times as old as Aaron. Henry is four times as old as his sister. What's the combined age of the siblings?
|
If Aaron is 15 years old, and his sister is 3 times as old as him, then the sister is 3*15 = <calculate step="1">15*3</calculate><result step="1">45</result> years old.
Together, Aaron and his sister have a total age of 45+15 = <calculate step="2">45+15</calculate><result step="2">60</result> years
Henry is four times as old as the sister, meaning he is 45*4 = <calculate step="3">45*4</calculate><result step="3">180</result> years old.
The three siblings together have a total age of 60+180 = <calculate step="4">60+180</calculate><result step="4">240</result> years
#### 240
|
240
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "15*3",
"value": "45"
},
{
"step": 2,
"expr": "45+15",
"value": "60"
},
{
"step": 3,
"expr": "45*4",
"value": "180"
},
{
"step": 4,
"expr": "60+180",
"value": "240"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002852
|
train
|
James is trying to avoid eating too much sodium. He's making a recipe that calls for 2 teaspoons of salt and 8 oz of parmesan cheese. Salt has 50 mg of sodium per teaspoon and parmesan has 25 mg of sodium per oz. If he can't reduce the salt, how many fewer ounces of parmesan cheese does he need to use to reduce the total amount of sodium by 1/3rd?
|
First find how much sodium the parmesan has in total by multiply the amount of sodium per ounce by the number of oz: 25 mg/oz * 8 oz = <calculate step="1">25*8</calculate><result step="1">200</result> mg
Then use the same process to find how much sodium is in the salt: 50 mg/tsp * 2 tsp = <calculate step="2">50*2</calculate><result step="2">100</result> mg
Then find the total sodium in the recipe by adding the sodium from the cheese and the salt: 100 mg + 200 mg = <calculate step="3">100+200</calculate><result step="3">300</result> mg
Then multiply the total amount of sodium by 1/3 to find how much less sodium James wants: 300 mg * 1/3 = <calculate step="4">300*1/3</calculate><result step="4">100</result> mg
Then divide this amount by the amount of sodium per ounce of cheese to find how many fewer ounces of cheese he needs: 100 mg / 25 mg/oz = <<100/25=4>>4 oz
#### 4
|
4
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "25*8",
"value": "200"
},
{
"step": 2,
"expr": "50*2",
"value": "100"
},
{
"step": 3,
"expr": "100+200",
"value": "300"
},
{
"step": 4,
"expr": "300*1/3",
"value": "100"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002853
|
train
|
Tim host a show and they film multiple episodes per day. Each episode is 20 minutes long and it takes 50% longer than that to film each episode. Each week they show 5 episodes. How many hours would it take to film 4 weeks of episodes?
|
Each episode takes 20*.5=<calculate step="1">20*.5</calculate><result step="1">10</result> minutes longer to film than it is
So it takes 20+10=<calculate step="2">20+10</calculate><result step="2">30</result> minutes
They are filming 5*4=<calculate step="3">5*4</calculate><result step="3">20</result> episodes
So it takes 20*30=<calculate step="4">20*30</calculate><result step="4">600</result> minutes
This is equivalent to 600 / 60 = <<600/60=10>>10 hours
#### 10
|
10
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "20*.5",
"value": "10"
},
{
"step": 2,
"expr": "20+10",
"value": "30"
},
{
"step": 3,
"expr": "5*4",
"value": "20"
},
{
"step": 4,
"expr": "20*30",
"value": "600"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002854
|
train
|
Javier exercised for 50 minutes every day for one week. Sanda exercised for 90 minutes on each of three days. How many minutes did Javier and Sanda exercise in total?
|
Javier = 50 * 7 = <calculate step="1">50*7</calculate><result step="1">350</result> minutes
Sanda = 90 * 3 = <calculate step="2">90*3</calculate><result step="2">270</result> minutes
Total = 350 + 270 = <calculate step="3">350+270</calculate><result step="3">620</result> minutes
Together Javier and Sanda exercised for 620 minutes.
#### 620
|
620
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "50*7",
"value": "350"
},
{
"step": 2,
"expr": "90*3",
"value": "270"
},
{
"step": 3,
"expr": "350+270",
"value": "620"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002855
|
train
|
For 6 weeks in the summer, Erica treats herself to 1 ice cream cone from the ice cream truck. Monday, Wednesday and Friday she gets a $2.00 orange creamsicle. Tuesday and Thursday she gets a $1.50 ice cream sandwich. Saturday and Sunday she gets a $3.00 Nutty-Buddy. How much money does she spend on ice cream in 6 weeks?
|
Mon, Wed, Fri she gets a $2.00 orange creamsicle so that's 3 days * $2/day = $<calculate step="1">3*2</calculate><result step="1">6</result>
Tue and Thur she gets a $1.50 ice cream sandwich so that's 2 days * $1.50/day = $<calculate step="2">2*1.5</calculate><result step="2">3</result>
Sat and Sun she gets a $3.00 nutty-buddy so that's 2 days * $3/day = $<calculate step="3">2*3</calculate><result step="3">6</result>
In one week she spends $6 + $3 + $6 = $<calculate step="4">6+3+6</calculate><result step="4">15</result>
Over 6 weeks she spends 6 weeks * $15/week = $<<6*15=90.00>>90.00
#### 90
|
90
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "3*2",
"value": "6"
},
{
"step": 2,
"expr": "2*1.5",
"value": "3"
},
{
"step": 3,
"expr": "2*3",
"value": "6"
},
{
"step": 4,
"expr": "6+3+6",
"value": "15"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002856
|
train
|
Mary is going on a business trip. It takes 10 minutes for her Uber to get to her house and 5 times longer to get to the airport. It takes 15 minutes to check her bag and three times as long to get through security. Then she has to wait for 20 minutes for her flight to start boarding and twice as long before the plane is ready to take off. How many hours will this process take total?
|
First find the time to drive to the airport: 10 minutes * 5 = <calculate step="1">10*5</calculate><result step="1">50</result> minutes
Then find the time it takes to get through security: 15 minutes * 3 = <calculate step="2">15*3</calculate><result step="2">45</result> minutes
Then find the time Mary spends waiting for the plane to take off: 20 minutes * 2 = <calculate step="3">20*2</calculate><result step="3">40</result> minutes
Then add the time to each step to find the total time: 10 minutes + 50 minutes + 15 minutes + 45 minutes + 20 minutes + 40 minutes = 180 minutes
Then divide that amount by the number of minutes per hour to cover the total time to hours: 180 minutes / 60 minutes/hour = <calculate step="4">180/60</calculate><result step="4">3</result> hours
#### 3
|
3
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "10*5",
"value": "50"
},
{
"step": 2,
"expr": "15*3",
"value": "45"
},
{
"step": 3,
"expr": "20*2",
"value": "40"
},
{
"step": 4,
"expr": "180/60",
"value": "3"
}
],
"skipped_reasons": [
{
"expr": "10+50+15+45+20+40",
"reason": "too_deep:7"
}
],
"warnings": []
}
|
train-002857
|
train
|
Dave bought 3 packs of white T-shirts and 2 packs of blue T-shirts for his basketball team. The white T-shirts come in packs of 6, and the blue T-shirts come in packs of 4. How many T-shirts did Dave buy in all?
|
Dave bought 3 packs of white shirts * 6 = <calculate step="1">3*6</calculate><result step="1">18</result> white shirts.
Dave bought 2 packs of blue shirts * 4 = <calculate step="2">2*4</calculate><result step="2">8</result> blue shirts.
Dave bought a total of 18 + 8 shirts = <calculate step="3">18+8</calculate><result step="3">26</result> shirts.
#### 26
|
26
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "3*6",
"value": "18"
},
{
"step": 2,
"expr": "2*4",
"value": "8"
},
{
"step": 3,
"expr": "18+8",
"value": "26"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002858
|
train
|
My mother celebrated her birthday with a total of 60 guests. Half of the guests are women, 15 are men, and the rest are children. In the middle of the celebration, 1/3 of the men and 5 children left. How many people stayed and enjoyed the birthday celebration?
|
There were 60 guests / 2 = <calculate step="1">60/2</calculate><result step="1">30</result> women at my mother's birthday celebration.
There were 30 women + 15 men = <calculate step="2">30+15</calculate><result step="2">45</result> men and women.
So, 60 people - 45 men and women = <calculate step="3">60-45</calculate><result step="3">15</result> were children.
Then, 15 men / 3 = <calculate step="4">15/3</calculate><result step="4">5</result> men left.
Thus, 5 men + 5 children = 10 people left.
Therefore, 60 people - 10 people = <<60-10=50>>50 people stayed and enjoyed the birthday celebration.
#### 50
|
50
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "60/2",
"value": "30"
},
{
"step": 2,
"expr": "30+15",
"value": "45"
},
{
"step": 3,
"expr": "60-45",
"value": "15"
},
{
"step": 4,
"expr": "15/3",
"value": "5"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002859
|
train
|
Allen ordered five boxes of pizza, which cost $7 each box. He then gave a tip which amounts to 1/7 of the total cost of his order. If he gave the delivery man $100, how much change did he receive?
|
The total cost of five boxes of pizza is $7 x 5 =$<calculate step="1">7*5</calculate><result step="1">35</result>.
He gave $35 x 1/7 = $<calculate step="2">35*1/7</calculate><result step="2">5</result> tip to the delivery man.
He spent a total of $35 + $5 = $<calculate step="3">35+5</calculate><result step="3">40</result> for the pizza and the tip.
The change that he received is $100 - $40 = $<calculate step="4">100-40</calculate><result step="4">60</result>.
#### 60
|
60
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "7*5",
"value": "35"
},
{
"step": 2,
"expr": "35*1/7",
"value": "5"
},
{
"step": 3,
"expr": "35+5",
"value": "40"
},
{
"step": 4,
"expr": "100-40",
"value": "60"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002860
|
train
|
Mr. Mitchell is buying pizzas for the soccer team. He buys one slice for every goal they scored on the season. A large pizza has 12 slices. If he bought 6 pizzas, and the team had 8 games, how many goals did they score per game on average?
|
They scored 72 goals because 6 x 12 = <calculate step="1">6*12</calculate><result step="1">72</result>
They scored 9 goals a game because 72 / 8 = <calculate step="2">72/8</calculate><result step="2">9</result>
#### 9
|
9
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "6*12",
"value": "72"
},
{
"step": 2,
"expr": "72/8",
"value": "9"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002861
|
train
|
The Giants baseball team is trying to make their league playoff. They have played 20 games and won 12 of them. To make the playoffs, they need to win 2/3 of their games over the season. If there are 10 games left, how many do they have to win to make the playoffs?
|
There are 30 games total because 20 + 10 = <calculate step="1">20+10</calculate><result step="1">30</result>
They need to win 20 games because 30 x (2/3) = <calculate step="2">30*(2/3)</calculate><result step="2">20</result>
The need to win 8 more games because 20 - 12 = <calculate step="3">20-12</calculate><result step="3">8</result>
#### 8
|
8
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "20+10",
"value": "30"
},
{
"step": 2,
"expr": "30*(2/3)",
"value": "20"
},
{
"step": 3,
"expr": "20-12",
"value": "8"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002862
|
train
|
Emily just purchased 2 pairs of curtains for $30.00 each and 9 wall prints at $15.00 each. The store also offers an installation service. For $50.00 they will come to your house and professionally hang your curtains and prints. If Emily agrees to this service, how much will her entire order cost?
|
She buys 2 pair of curtains for $30.00 each so that's 2*30 = $<calculate step="1">2*30</calculate><result step="1">60</result>
She buys 9 wall prints at $15.00 each so that's 9*15 = $<calculate step="2">9*15</calculate><result step="2">135</result>
The curtains cost $60.00, the prints are $135.00 and the installation service is $50.00 for a total of 60+135+50 = $<calculate step="3">60+135+50</calculate><result step="3">245</result>
#### 245
|
245
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "2*30",
"value": "60"
},
{
"step": 2,
"expr": "9*15",
"value": "135"
},
{
"step": 3,
"expr": "60+135+50",
"value": "245"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002863
|
train
|
Faith's neighborhood, with a total of 20 homes, decided to install solar panels. Each home needed 10 panels capable of providing their power needs. The supplier of the panels brought 50 panels less than the required amount. The neighbors agreed to only install the panels up to where they'd be finished. How many homes had their panels installed?
|
The total number of panels required is 20*10 = <calculate step="1">20*10</calculate><result step="1">200</result> panels.
When 50 failed to be delivered, the total number available for use became 200-50 = <calculate step="2">200-50</calculate><result step="2">150</result> panels.
If each home requires 10 panels, the number of homes that had panels installed is 150/10 = <calculate step="3">150/10</calculate><result step="3">15</result> homes
#### 15
|
15
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "20*10",
"value": "200"
},
{
"step": 2,
"expr": "200-50",
"value": "150"
},
{
"step": 3,
"expr": "150/10",
"value": "15"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002864
|
train
|
Trey has 7 times as many turtles as Kris. Kris has 1/4 as many turtles as Kristen has. How many more turtles does Trey have than Kristen, if Kristen has 12?
|
Kris has 12/4 = <calculate step="1">12/4</calculate><result step="1">3</result> turtles.
Trey has 3*7 = <calculate step="2">3*7</calculate><result step="2">21</result> turtles.
Trey has 21-12 = <calculate step="3">21-12</calculate><result step="3">9</result> more turtles than Kristen
#### 9
|
9
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "12/4",
"value": "3"
},
{
"step": 2,
"expr": "3*7",
"value": "21"
},
{
"step": 3,
"expr": "21-12",
"value": "9"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002865
|
train
|
There were 25 peaches in each basket. Five baskets of peaches were delivered to a market. The farmers have eaten 5 peaches. The remaining peaches are packed into smaller boxes of 15 each. How many boxes of peaches are there?
|
The total number of peaches delivered to a market was 5 x 25 = <calculate step="1">5*25</calculate><result step="1">125</result>.
The remaining peaches after 5 were eaten was 150 - 5 = <calculate step="2">150-5</calculate><result step="2">145</result>.
So, there are 120/15 = <calculate step="3">120/15</calculate><result step="3">8</result> smaller boxes of peaches.
#### 8
|
8
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "5*25",
"value": "125"
},
{
"step": 2,
"expr": "150-5",
"value": "145"
},
{
"step": 3,
"expr": "120/15",
"value": "8"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002866
|
train
|
Erin is watching a TV mini series of Pride and Prejudice. There are 6 episodes that are each 50 minutes long. If Erin watches all of the episodes in one sitting, one after the other with no breaks, how many hours will she spend watching the series?
|
The total minutes in the series is 6 * 50 = <calculate step="1">6*50</calculate><result step="1">300</result> minutes
Since there are 60 minutes in an hour, Erin will spend 300 / 60 = <calculate step="2">300/60</calculate><result step="2">5</result> hours watching the series
#### 5
|
5
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "6*50",
"value": "300"
},
{
"step": 2,
"expr": "300/60",
"value": "5"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002867
|
train
|
Micah, Dean, and Jake are all training for a marathon organized by a local NGO to support children in their town who have cancer. Micah runs 2/3 times as fast as Dean. It takes Jake 1/3 times more time to finish the marathon than it takes Mica. If Dean takes 9 hours, what's the total time the three take to complete the marathon?
|
If Dean takes 9 hours to finish the marathon, it takes Micah 2/3 * 9 hours = <calculate step="1">9*2/3</calculate><result step="1">6</result> hours to finish the marathon.
It takes Jake 1/3 * 6 hours = <calculate step="2">1/3*6</calculate><result step="2">2</result> more hours to finish the marathon than Micah.
Jake takes a total of 6 hours + 2 hours = <calculate step="3">6+2</calculate><result step="3">8</result> hours to finish the marathon.
Micah, Dean, and Jake take a total of 8 hours + 6 hours + 9 hours = <calculate step="4">8+6+9</calculate><result step="4">23</result> hours to finish the marathon.
#### 23
|
23
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "9*2/3",
"value": "6"
},
{
"step": 2,
"expr": "1/3*6",
"value": "2"
},
{
"step": 3,
"expr": "6+2",
"value": "8"
},
{
"step": 4,
"expr": "8+6+9",
"value": "23"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002868
|
train
|
There are 8 red pens in Maria's desk drawer. There are 10 more black pens than red pens. There are also 7 more blue pens than red pens. How many pens are there in all?
|
Maria has 8 + 10 = <calculate step="1">8+10</calculate><result step="1">18</result> black pens.
Maria has 8 + 7 = <calculate step="2">8+7</calculate><result step="2">15</result> blue pens.
Maria has 8 + 18 + 15 = <calculate step="3">8+18+15</calculate><result step="3">41</result> pens in total.
#### 41
|
41
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "8+10",
"value": "18"
},
{
"step": 2,
"expr": "8+7",
"value": "15"
},
{
"step": 3,
"expr": "8+18+15",
"value": "41"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002869
|
train
|
The new pad of paper has 120 pages. Sammy uses 25% of the pages for his science project, and another 10 pages for his math homework. How many pages remain in the pad?
|
He used 0.25*120=<calculate step="1">0.25*120</calculate><result step="1">30</result> on science
There were 120-30=<calculate step="2">120-30</calculate><result step="2">90</result> pages left
And then he has 90-10=<calculate step="3">90-10</calculate><result step="3">80</result> after math.
#### 80
|
80
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "0.25*120",
"value": "30"
},
{
"step": 2,
"expr": "120-30",
"value": "90"
},
{
"step": 3,
"expr": "90-10",
"value": "80"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002870
|
train
|
Hanna has $300. She wants to buy roses at $2 each and give some of the roses to her friends, Jenna and Imma. Jenna will receive 1/3 of the roses, and Imma will receive 1/2 of the roses. How many roses does Hanna give to her friends?
|
Hanna can buy $300/$2 = <calculate step="1">300/2</calculate><result step="1">150</result> roses.
So, Jenna will receive 1/3 x 150 = <calculate step="2">1/3*150</calculate><result step="2">50</result> roses.
While Imma will receive 1/2 x 150 = <calculate step="3">1/2*150</calculate><result step="3">75</result> roses.
Therefore, Hanna gives a total of 50 + 75 = <calculate step="4">50+75</calculate><result step="4">125</result> roses to her friends.
#### 125
|
125
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "300/2",
"value": "150"
},
{
"step": 2,
"expr": "1/3*150",
"value": "50"
},
{
"step": 3,
"expr": "1/2*150",
"value": "75"
},
{
"step": 4,
"expr": "50+75",
"value": "125"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002871
|
train
|
Gloria wants to buy the $129,000 mountain cabin that her friend Alfonso is selling. She only has $150 in cash. She intends to raise the remaining amount by selling her mature trees for lumber. She has 20 cypress trees, 600 pine trees, and 24 maple trees. She will get $100 for each cypress tree, $300 for a maple tree, and $200 per pine tree. After paying Alfonso for the cabin, how much money will Gloria have left?
|
The cypress trees will earn Gloria 20 trees * $100/tree = $<calculate step="1">20*100</calculate><result step="1">2000</result>
From the sale of the cypress trees, Gloria will also make 600 trees * $200/tree = $<calculate step="2">600*200</calculate><result step="2">120000</result>
Finally, the maple trees will bring in 24 trees * $300/tree = $<calculate step="3">24*300</calculate><result step="3">7200</result>
Combining all the amounts will give Gloria a total of $150 + $2000 + $120000 + $7200 = $<calculate step="4">150+2000+120000+7200</calculate><result step="4">129350</result>
Subtracting the cost of the mountain cabin from the total will leave Gloria with a balance of $129350 - $129000 = $<<129350-129000=350>>350
#### 350
|
350
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "20*100",
"value": "2000"
},
{
"step": 2,
"expr": "600*200",
"value": "120000"
},
{
"step": 3,
"expr": "24*300",
"value": "7200"
},
{
"step": 4,
"expr": "150+2000+120000+7200",
"value": "129350"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002872
|
train
|
Giorgio plans to make cookies for his class. There are 40 students and he plans to make 2 cookies per student. If 10% of his classmates want oatmeal raisin, then how many oatmeal raisin cookies will Giorgio make?
|
40 students want oatmeal raisin because 40 x .1 = <calculate step="1">40*.1</calculate><result step="1">4</result>
He makes 8 oatmeal raisin cookies because 4 x 2 = <calculate step="2">4*2</calculate><result step="2">8</result>
#### 8
|
8
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "40*.1",
"value": "4"
},
{
"step": 2,
"expr": "4*2",
"value": "8"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002873
|
train
|
Diana wants to buy winter clothes for all the 40 children at her local children's home. The home has five times as many teenagers as toddlers. There are also some newborns. If there are 6 toddlers, for how many newborns will Diana be shopping?
|
There are 6 toddlers, which means that the children’s home has 5 teenagers/toddler * 6 toddlers = <calculate step="1">5*6</calculate><result step="1">30</result> teenagers
Diana will be shopping for 40 children - 30 teenagers - 6 toddlers = <calculate step="2">40-30-6</calculate><result step="2">4</result> newborns
#### 4
|
4
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "5*6",
"value": "30"
},
{
"step": 2,
"expr": "40-30-6",
"value": "4"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002874
|
train
|
Jason sent 220 text messages on Monday, half as many text messages on Tuesday, and 50 text messages each day Wednesday through Friday. How many text messages did he send on average during those five days?
|
First find how many text messages he sent on Tuesday: 220 messages / 2 = <calculate step="1">220/2</calculate><result step="1">110</result> messages
Then find how many text messages he sent Wednesday-Friday: 50 messages/day * 3 days = <calculate step="2">50*3</calculate><result step="2">150</result> messages
Then add up all the messages he sent to find the total: 110 messages + 150 messages + 220 messages = <calculate step="3">110+150+220</calculate><result step="3">480</result> messages
Then divide that number by the number of days to find the average number of messages he sent per day: 480 messages / 5 days = <calculate step="4">480/5</calculate><result step="4">96</result> messages/day
#### 96
|
96
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "220/2",
"value": "110"
},
{
"step": 2,
"expr": "50*3",
"value": "150"
},
{
"step": 3,
"expr": "110+150+220",
"value": "480"
},
{
"step": 4,
"expr": "480/5",
"value": "96"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002875
|
train
|
If Ken's house is twice as far from Dawn's house as Mary's house along a certain road, and Ken's house is 4 miles away from Dawn's house along this same road, how much distance (in miles) will Ken cover if he goes from his house to Dawn's house, then Mary's, then back to Dawn's before going back to his own house?
|
Ken's house is twice as far from Dawn's house as Mary's, so the distance between Ken's and Mary's is half that between Ken's and Dawn's (4 miles) which means the former is (1/2)*4 miles = <calculate step="1">4*1/2</calculate><result step="1">2</result> miles
If Ken goes from his house to Dawn's, he has covered 4 miles
He goes from there to Mary's (2 miles, same as Ken's to Mary's) for a total of 4+2 = <calculate step="2">4+2</calculate><result step="2">6</result> miles.
He goes back to Dawn's (another 2 miles) for a total of 6+2 = <calculate step="3">6+2</calculate><result step="3">8</result> miles
Then he goes to his own house (4 miles) for a final total of 8+4 = <calculate step="4">8+4</calculate><result step="4">12</result> miles
#### 12
|
12
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "4*1/2",
"value": "2"
},
{
"step": 2,
"expr": "4+2",
"value": "6"
},
{
"step": 3,
"expr": "6+2",
"value": "8"
},
{
"step": 4,
"expr": "8+4",
"value": "12"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002876
|
train
|
Aaron wants to purchase a guitar under a payment plan of $100.00 per month for 12 months. His father has agreed to lend him the entire amount for the guitar, plus a one-time 10% interest fee for the entire loan. With interest, how much money will Aaron owe his dad?
|
The guitar costs $100 every month for 12 months so it costs 100*12 = $<calculate step="1">100*12</calculate><result step="1">1200</result>
His dad is charging him 10% interest on the $1200 so interest comes to .10*1200 = $<calculate step="2">1200*.10</calculate><result step="2">120</result>
All total, Aaron will owe his father the price of the guitar, $1200 and the interest, $120 so 1200+120 = $<calculate step="3">1200+120</calculate><result step="3">1320</result>,320.00
#### 1320
|
1320
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "100*12",
"value": "1200"
},
{
"step": 2,
"expr": "1200*.10",
"value": "120"
},
{
"step": 3,
"expr": "1200+120",
"value": "1320"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002877
|
train
|
Stuart is going on a cross-country trip and wants to find the fastest route. On one route the total distance is 1500 miles and the average speed is 75 MPH. On the second trip, the total distance is 750 but the average speed is 25 MPH. How long does his trip take if he goes on the fastest route?
|
The first route will take 20 hours because 1,500 / 75 = <calculate step="1">1500/75</calculate><result step="1">20</result>
The second route will take 30 hours because 750 / 25 = <calculate step="2">750/25</calculate><result step="2">30</result>
The fastest route takes 20 hours because 20 < 30
#### 20
|
20
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "1500/75",
"value": "20"
},
{
"step": 2,
"expr": "750/25",
"value": "30"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002878
|
train
|
Noah’s bedroom light uses 6 watts per hour. His office light is much brighter so he can see to work and uses three times as much energy. The living room light has a much larger space to cover and has to be more powerful, so it uses four times as much energy as his bedroom light. If Noah leaves all those lights on for two hours, how many watts has he used?
|
Noah’s bedroom light uses 6 watts per hour, so it would use 2 * 6 = <calculate step="1">6*2</calculate><result step="1">12</result> watts in two hours.
His office light uses 3 times as many watts as his bedroom light, so it uses 3 * 6 = <calculate step="2">3*6</calculate><result step="2">18</result> watts per hour.
In two hours, the office light would use 18 * 2 = <calculate step="3">18*2</calculate><result step="3">36</result> watts.
The living room light uses 4 times as many watts as his bedroom light, so it uses 4 * 6 = <calculate step="4">4*6</calculate><result step="4">24</result> watts per hour.
In two hours, the living room light would use 24 * 2 = <<24*2=48>>48 watts.
Thus, if Noah leaves all those lights on for two hours, he has used 12 + 36 + 48 = <<12+36+48=96>>96 watts.
#### 96
|
96
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "6*2",
"value": "12"
},
{
"step": 2,
"expr": "3*6",
"value": "18"
},
{
"step": 3,
"expr": "18*2",
"value": "36"
},
{
"step": 4,
"expr": "4*6",
"value": "24"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002879
|
train
|
Malcolm brushes his teeth for 2 minutes after breakfast, lunch and dinner. After 30 days, how many hours does he spend brushing his teeth?
|
He brushes his teeth 3 times a day, after breakfast, lunch and dinner. He brushes for 2 minutes so that’s 3*2 = <calculate step="1">3*2</calculate><result step="1">6</result> minutes per day.
He brushes 6 minutes per day so after 30 days he has brushed 6*30 = <calculate step="2">6*30</calculate><result step="2">180</result> minutes
There are 60 minutes in 1 hour and he brushes for 180 minutes so that’s 180/60 = <calculate step="3">180/60</calculate><result step="3">3</result> hours
#### 3
|
3
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "3*2",
"value": "6"
},
{
"step": 2,
"expr": "6*30",
"value": "180"
},
{
"step": 3,
"expr": "180/60",
"value": "3"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002880
|
train
|
A nail salon was completely booked at 2 pm for manicures. Each manicure costs $20.00 per client so the salon made $200.00. If there are 210 fingers in the salon at 2 pm, and everyone has 10 fingers, how many people in the salon are not clients?
|
The salon made $200.00 and they charge $20.00 per client so there are 200/20 = <calculate step="1">200/20</calculate><result step="1">10</result> clients in the salon
There are 210 fingers in the salon and everyone has 10 fingers so there are 210/10 = <calculate step="2">210/10</calculate><result step="2">21</result> people in the salon
If there are 21 people in the salon and 10 are clients then there are 21-10 = <calculate step="3">21-10</calculate><result step="3">11</result> people in the salon that are not clients
#### 11
|
11
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "200/20",
"value": "10"
},
{
"step": 2,
"expr": "210/10",
"value": "21"
},
{
"step": 3,
"expr": "21-10",
"value": "11"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002881
|
train
|
There were 50 fish in a pond and 3 times as many tadpoles. If Curtis catches 7 fish and half the tadpoles develop into frogs, how many more tadpoles than fish are there in the pond now?
|
There were 50 x 3 = <calculate step="1">50*3</calculate><result step="1">150</result> tadpoles.
There are 50 - 7 = <calculate step="2">50-7</calculate><result step="2">43</result> fish left in the pond.
There are 150/2 = <calculate step="3">150/2</calculate><result step="3">75</result> tadpoles left in the pond.
There are 75 - 43 = <calculate step="4">75-43</calculate><result step="4">32</result> more tadpoles than fish in the pond now.
#### 32
|
32
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "50*3",
"value": "150"
},
{
"step": 2,
"expr": "50-7",
"value": "43"
},
{
"step": 3,
"expr": "150/2",
"value": "75"
},
{
"step": 4,
"expr": "75-43",
"value": "32"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002882
|
train
|
Dexter and Jay are using a gallon of white paint to paint the walls. Dexter used 3/8 of the gallon of paint while Jay used 5/8 of a gallon of paint. If a gallon is equal to 4 liters, how many liters of paint were left from Dexter and Jay combined?
|
Dexter used 4 x 3/8 = 3/2 liters of paint.
Jay used 4 x 5/8 = 5/2 liters of paint.
Together, they used 3/2 + 5/2 = <calculate step="1">3/2+5/2</calculate><result step="1">4</result> liters of paint.
Since each of them used a gallon of paint, then they both used 2 x 4 = <calculate step="2">2*4</calculate><result step="2">8</result> liters of paint together.
Therefore, 8 - 4 = <calculate step="3">8-4</calculate><result step="3">4</result> liters of paint were left.
#### 4
|
4
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "3/2+5/2",
"value": "4"
},
{
"step": 2,
"expr": "2*4",
"value": "8"
},
{
"step": 3,
"expr": "8-4",
"value": "4"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002883
|
train
|
John with his five friends ordered 3 pizzas. Each pizza had 8 slices. If they all finished and ate the same amount of pizzas, how many slices did each person eat?
|
There were 3 x 8 = <calculate step="1">3*8</calculate><result step="1">24</result> slices of pizza.
Since there were 6 persons, then each person ate 24/6 = <calculate step="2">24/6</calculate><result step="2">4</result> slices
#### 4
|
4
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "3*8",
"value": "24"
},
{
"step": 2,
"expr": "24/6",
"value": "4"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002884
|
train
|
Felix can lift off the ground 1.5 times more than he weighs. Felix's brother weighs twice as much as Felix and can lift three times his weight off the ground. If his brother can lift 600 pounds, how much can Felix lift off the ground?
|
Felix's brother weighs 200 pounds because 600 / 3 = <calculate step="1">600/3</calculate><result step="1">200</result>
Felix weighs 100 pounds because 200 / 2 = <calculate step="2">200/2</calculate><result step="2">100</result>
Felix can lift 150 pounds because 100 x 1.5 = <calculate step="3">100*1.5</calculate><result step="3">150</result>
#### 150
|
150
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "600/3",
"value": "200"
},
{
"step": 2,
"expr": "200/2",
"value": "100"
},
{
"step": 3,
"expr": "100*1.5",
"value": "150"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002885
|
train
|
Tina saved $27 in June, $14 in July, and $21 in August. Then Tina spent $5 on books and $17 on new shoes. How much money does Tina have left?
|
The total amount of money saved is $27 + $14 + $21 = $<calculate step="1">27+14+21</calculate><result step="1">62</result>.
The total amount spent on books and new shoes is $5 + $17 = $<calculate step="2">5+17</calculate><result step="2">22</result>.
Tina has $62 − $22 = $40 left.
#### 40
|
40
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "27+14+21",
"value": "62"
},
{
"step": 2,
"expr": "5+17",
"value": "22"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002886
|
train
|
Samir climbed 318 stairs yesterday. Veronica climbed 18 more than half that amount. How many stairs did Veronica and Samir climb together yesterday?
|
Half of 318 is <calculate step="1">318/2</calculate><result step="1">159</result>
159 + 18 = <calculate step="2">159+18</calculate><result step="2">177</result> stairs
318 + 177 = <calculate step="3">318+177</calculate><result step="3">495</result>
Together they climbed 495 stairs yesterday.
#### 495
|
495
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "318/2",
"value": "159"
},
{
"step": 2,
"expr": "159+18",
"value": "177"
},
{
"step": 3,
"expr": "318+177",
"value": "495"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002887
|
train
|
Cara is at her family reunion, where she discovers that she is 20 years younger than her mom. Her mom is 15 years younger than Cara's Grandmother. If Cara's grandmother is 75, how old is Cara?
|
Cara's mom: 75-15=<calculate step="1">75-15</calculate><result step="1">60</result> years old
Cara: 60-20=<calculate step="2">60-20</calculate><result step="2">40</result> years old
#### 40
|
40
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "75-15",
"value": "60"
},
{
"step": 2,
"expr": "60-20",
"value": "40"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002888
|
train
|
A liter of chlorine costs $10 and is now sold at 20% off. A box of soap that costs $16 is now sold at 25% off. How much will you save if you buy 3 liters of chlorine and 5 boxes of soap?
|
For each liter of chlorine, I can save $10 x .20 = $<calculate step="1">10*.20</calculate><result step="1">2</result>.
For each box of soap, I can save $16 x .25 = $<calculate step="2">16*.25</calculate><result step="2">4</result>.
With the 3 liters of chlorine, I can save $2 x 3 = $<calculate step="3">3*2</calculate><result step="3">6</result>.
With the 5 boxes of soap, I can save $4 x 5 = $<calculate step="4">4*5</calculate><result step="4">20</result>.
Therefore, I can save a total of $6 + $20 = $<<6+20=26>>26.
#### 26
|
26
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "10*.20",
"value": "2"
},
{
"step": 2,
"expr": "16*.25",
"value": "4"
},
{
"step": 3,
"expr": "3*2",
"value": "6"
},
{
"step": 4,
"expr": "4*5",
"value": "20"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002889
|
train
|
Sean and Sierra invited 200 guests to their wedding. If 83% of the guests RSVP with a Yes response and 9% of the guests RSVP with a No response, how many guests did not respond at all?
|
Yes RSVP responses are 200 x 83% = <calculate step="1">200*83*.01</calculate><result step="1">166</result> guests.
No RSVP responses are 200 x 9% = <calculate step="2">200*9*.01</calculate><result step="2">18</result> guests.
Guests who responded are 166 + 18 = <calculate step="3">166+18</calculate><result step="3">184</result>.
Guests who did not respond at all are 200 - 184 = <calculate step="4">200-184</calculate><result step="4">16</result>.
#### 16
|
16
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "200*83*.01",
"value": "166"
},
{
"step": 2,
"expr": "200*9*.01",
"value": "18"
},
{
"step": 3,
"expr": "166+18",
"value": "184"
},
{
"step": 4,
"expr": "200-184",
"value": "16"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002890
|
train
|
Kyle has $12 less than 3 times what Dave has. Kyle then spends a third of it going snowboarding. If Dave has $46, how much money does Kyle have?
|
Kyle has 46*3-12 = <calculate step="1">46*3-12</calculate><result step="1">126</result> dollars.
Kyle spends 126/3 = <calculate step="2">126/3</calculate><result step="2">42</result> dollars going snowboarding.
Kyle has 126-42 = <calculate step="3">126-42</calculate><result step="3">84</result> dollars left.
#### 84
|
84
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "46*3-12",
"value": "126"
},
{
"step": 2,
"expr": "126/3",
"value": "42"
},
{
"step": 3,
"expr": "126-42",
"value": "84"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002891
|
train
|
The base of a hill located beside a river is 300m above the seabed. If this depth is a quarter of the vertical distance between the riverbed and the peak of the hill, how high is the hill?
|
300m is a quarter of the distance from the riverbed to the hill's peak so (1/4)*distance from riverbed to peak = 300m
Multiplying both sides of the equation by 4 gives the distance from riverbed to peak = 300m*4 = <calculate step="1">300*4</calculate><result step="1">1200</result>m
The height of the hill is the difference between the distance from the riverbed to the hill's peak and the distance from the riverbed to the hill's base which is 1200m-300m = <calculate step="2">1200-300</calculate><result step="2">900</result>m
#### 900
|
900
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "300*4",
"value": "1200"
},
{
"step": 2,
"expr": "1200-300",
"value": "900"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002892
|
train
|
John travels 150 miles in 2 hours. The speed limit is 60 mph. How many mph above the speed limit was he driving?
|
He was driving 150/2=<calculate step="1">150/2</calculate><result step="1">75</result> mph
So he was 75-60=<calculate step="2">75-60</calculate><result step="2">15</result> mph above the speed limit
#### 15
|
15
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "150/2",
"value": "75"
},
{
"step": 2,
"expr": "75-60",
"value": "15"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002893
|
train
|
Raine's house is just a walking distance from her school. It takes her 150 steps to walk to the school. How many steps does she take walking to and from school in five days?
|
Raine takes 150 x 2 = <calculate step="1">150*2</calculate><result step="1">300</result> steps walking to and from school each day.
Thus, it takes her 300 x 5 = <calculate step="2">300*5</calculate><result step="2">1500</result> steps in five days.
#### 1500
|
1500
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "150*2",
"value": "300"
},
{
"step": 2,
"expr": "300*5",
"value": "1500"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002894
|
train
|
Ian spent half the money he made on doing online surveys. If he worked 8 hours doing surveys and on average he's able to earn $18 per hour doing surveys, how much money does he have left?
|
Ian is able to earn $18 per hour doing surveys. If he worked 8 hours doing surveys, then he earned $18*8 = $<calculate step="1">18*8</calculate><result step="1">144</result>
If he spent half of what he earned, then he spent $144 * 50% = $<calculate step="2">144*50*.01</calculate><result step="2">72</result>
If Ian spent $72 of his earnings, then he has $144 - $72 = $<calculate step="3">72</calculate><result step="3">72</result> left
#### 72
|
72
|
{
"num_steps": 3,
"steps": [
{
"step": 1,
"expr": "18*8",
"value": "144"
},
{
"step": 2,
"expr": "144*50*.01",
"value": "72"
},
{
"step": 3,
"expr": "72",
"value": "72"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002895
|
train
|
Joan wants to visit her family who live 480 miles away. If she drives at a rate of 60 mph and takes a lunch break taking 30 minutes, and 2 bathroom breaks taking 15 minutes each, how many hours did it take her to get there?
|
The driving time is 480/60= <calculate step="1">480/60</calculate><result step="1">8</result> hours
The time for breaks was 30+15+15=<calculate step="2">30+15+15</calculate><result step="2">60</result> minutes
So she spent 60/60=<calculate step="3">60/60</calculate><result step="3">1</result> hour for rest stops.
So it took her 8+1=<calculate step="4">8+1</calculate><result step="4">9</result> hours
#### 9
|
9
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "480/60",
"value": "8"
},
{
"step": 2,
"expr": "30+15+15",
"value": "60"
},
{
"step": 3,
"expr": "60/60",
"value": "1"
},
{
"step": 4,
"expr": "8+1",
"value": "9"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002896
|
train
|
John takes a 20-foot log and cuts it in half. If each linear foot of the log weighs 150 pounds how much does each cut piece weigh?
|
Each cut piece is 20/2=<calculate step="1">20/2</calculate><result step="1">10</result> feet long
So they each weigh 10*150=<calculate step="2">10*150</calculate><result step="2">1500</result> pounds
#### 1500
|
1500
|
{
"num_steps": 2,
"steps": [
{
"step": 1,
"expr": "20/2",
"value": "10"
},
{
"step": 2,
"expr": "10*150",
"value": "1500"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002897
|
train
|
Juanita goes through 1 bottle of sunscreen a month. She likes to stock up for the entire year when a certain website offers 30% off her entire purchase. If each bottle is $30.00 how much will all of the sunscreen cost after the discount?
|
She goes through 1 bottle a month and she likes to stock up for the entire year, which is 12 months so she needs 1*12 = <calculate step="1">1*12</calculate><result step="1">12</result> bottles
Each bottle is $30.00 and she needs 12 bottles so they will cost 30*12 = $<calculate step="2">30*12</calculate><result step="2">360</result>
The website offers a 30% discount off of her $360.00 purchase so the discount will be .30*360 = $<calculate step="3">30*.01*360</calculate><result step="3">108</result>
Her sunscreen costs $360.00 and her discount is 108.00 making her purchase total 360-108 = $<calculate step="4">360-108</calculate><result step="4">252</result>
#### 252
|
252
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "1*12",
"value": "12"
},
{
"step": 2,
"expr": "30*12",
"value": "360"
},
{
"step": 3,
"expr": "30*.01*360",
"value": "108"
},
{
"step": 4,
"expr": "360-108",
"value": "252"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002898
|
train
|
Michael is stuck in an elevator that is slowly moving to the bottom floor. The elevator needs to move down 20 floors to reach the bottom. It takes 15 minutes for the elevator to travel down the first half of the floors. The elevator then takes 5 minutes per floor to travel down the next 5 floors. It then takes 16 minutes per floor for the elevator to finish traveling down the final 5 floors. In hours, how long did it take for the elevator to reach the bottom?
|
Over 5 of the floors, it takes the elevator 5 floors * 5 minutes per floor = <calculate step="1">5*5</calculate><result step="1">25</result> minutes to lower.
Over the final 5 floors, it takes the elevator 5 floors * 16 minutes per floor = <calculate step="2">5*16</calculate><result step="2">80</result> minutes to lower.
So in total, the elevator takes 15 minutes in the first half + 25 minutes in the next five floors + 80 minutes in the final five floors = <calculate step="3">15+25+80</calculate><result step="3">120</result> minutes to lower to the bottom.
This is the same as 120 minutes / 60 minutes per hour = <calculate step="4">120/60</calculate><result step="4">2</result> hours.
#### 2
|
2
|
{
"num_steps": 4,
"steps": [
{
"step": 1,
"expr": "5*5",
"value": "25"
},
{
"step": 2,
"expr": "5*16",
"value": "80"
},
{
"step": 3,
"expr": "15+25+80",
"value": "120"
},
{
"step": 4,
"expr": "120/60",
"value": "2"
}
],
"skipped_reasons": [],
"warnings": []
}
|
train-002899
|
train
|
Mark went to a store where he spent one-half of his money, and then spent $14 more. He then went to another store where he spent one-third of his starting money, and then spent $16 more. If he then had no money left, how much did he have when he entered the first store?
|
Let X be the money Mark had. Mark spent 1/2*X + 14 in the first store and 1/3*X + 16 in the second store.
Mark has X - 1/2*X - 14 - 1/3*X - 16 = $0 left.
Combining like terms, we get 1/6*X - 30 = $0.
Adding 30 to both sides and multiplying both sides by 6, we find that Mark had X = $180 when he entered the first store.
#### 180
|
180
|
{
"num_steps": 0,
"steps": [],
"skipped_reasons": [],
"warnings": []
}
|
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