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train
0
what perfect square integer is closest to 273 || 289
289
289
{ "answer_tokens": 3, "stage1_tokens": 14, "stage2_tokens": 83, "stage3_tokens": 6 }
train-0
050fbb20524202eda78d27e0699d0d2be74c9e553f5714f221ed61c5da016fda
train
1
jane s mother agreed to pay her 50 for every flower bulb that jane planted jane planted 20 tulip bulbs and half that amount of iris bulbs she also planted x daffodil bulbs and three times that amount of crocus bulbs jane earned 75 money what is the value of unknown variable x what is the value of unknown variable x || ...
30 The answer is: 30
30 the answer is 30
{ "answer_tokens": 10, "stage1_tokens": 82, "stage2_tokens": 372, "stage3_tokens": 13 }
train-1
3d9cb7666d3f2fa4bc241b367c691c8c7351724fd92e30abb17c3311e3829030
train
2
what is the amount of money in cents that sam has left after buying 4 candy bars for 3 dimes each and 1 lollipop for 1 quarter if she initially had 19 dimes and 6 quarters || 195 the answer is 195
195 The answer is: 195
195 the answer is 195
{ "answer_tokens": 12, "stage1_tokens": 52, "stage2_tokens": 187, "stage3_tokens": 15 }
train-2
f71103199b114b93b247acfe79c3ab8cd40ae9d72920927757a0283531fc80c0
train
3
bucky earns money each weekend catching and selling fish he wants to save up for a new video game which costs 60 last weekend he earned 35 he can earn 5 from trout and 4 from blue gill he caught five fish this sunday if 60 were trout and the rest were blue gill how much more does he need to save before he can buy the g...
2 The answer is: 2
2 the answer is 2
{ "answer_tokens": 8, "stage1_tokens": 91, "stage2_tokens": 179, "stage3_tokens": 11 }
train-3
e8929ecc5347929a96b5db1eb665bc7a5325bda30ae243e4652b2b4506cf1e58
train
4
if jack purchased three books per month at 20 each and sold them back at the end of the year for 500 what is the total amount of money he lost || 220 the answer is 220
220 The answer is: 220
220 the answer is 220
{ "answer_tokens": 12, "stage1_tokens": 40, "stage2_tokens": 139, "stage3_tokens": 15 }
train-4
ad3a6a4a83d4167ecbff71079675d9dab8494d15eef54b2ee8207092341937b2
train
5
convert 1011001 2 to base x if we know the answer to the above question is 1121 4 what is the value of unknown variable x || 4
4
4
{ "answer_tokens": 1, "stage1_tokens": 45, "stage2_tokens": 346, "stage3_tokens": 4 }
train-5
021565b03267eabdabd2d7d1c7cdfcae533f3b3e0c456ad400994b38e633081f
train
6
what is the remaining amount of money in cents that sam has after purchasing 4 candy bars for 3 dimes each and 1 lollipop for 1 quarter if she initially had 19 dimes and 6 quarters || 195 the answer is 195
195 The answer is: 195
195 the answer is 195
{ "answer_tokens": 12, "stage1_tokens": 52, "stage2_tokens": 194, "stage3_tokens": 15 }
train-6
8537f798c0b8ce90e1b03674f19980d3bc7fb6b5555db8e897dfe666164ffc21
train
7
if 15 of n is 45 of x the value of n is 6009 what is the value of unknown variable x || 2003
2003
2003
{ "answer_tokens": 4, "stage1_tokens": 45, "stage2_tokens": 183, "stage3_tokens": 7 }
train-7
9bb8a7172ea8cc1abd9583e9e6f58abdabc0e393f67446e51df6e4955a75b5e5
train
8
compute lfloor dfrac 2005 3 2003 cdot 2004 dfrac x cdot 2005 rfloor where lfloor x rfloor denotes the greatest integer less than or equal to x the answer is 8 what is the value of unknown variable x || 2004
2004
2004
{ "answer_tokens": 4, "stage1_tokens": 89, "stage2_tokens": 481, "stage3_tokens": 7 }
train-8
c16e90a67c59c20e5aa6bd05e2a8582b0721b536f777275e6b77dec27d8618c4
train
9
i need to learn vocabulary words for my spanish exam there are x words and the exam grade is the percentage of these words that i recall correctly assuming i will recall correctly the words i learn and assuming my guesses will not yield any points what is the least number of words i should learn to get at least 85 on t...
500
500
{ "answer_tokens": 3, "stage1_tokens": 99, "stage2_tokens": 248, "stage3_tokens": 6 }
train-9
19fffe7835882168526f538614445c7d58a5b541ebcc002b2203da0858c691a9
train
10
jessica has a basic cable television service for x per month if she adds the movie channels it will cost an additional 12 per month the sports channels cost 3 less per month than the movie channels if jessica adds the movie channels and the sports channels her total monthly payment will be 36 what is the value of unkno...
15 The answer is: 15
15 the answer is 15
{ "answer_tokens": 10, "stage1_tokens": 77, "stage2_tokens": 207, "stage3_tokens": 13 }
train-10
ba0b60d0f8157ff201175e6f1c791dffd0b0a041a91ae83976aaefba50f35216
train
11
find cot 45 circ || 1
1
1
{ "answer_tokens": 1, "stage1_tokens": 12, "stage2_tokens": 96, "stage3_tokens": 4 }
train-11
a4631a8b67a8469ba4ffc06af68af14633b854a9829a842fe850e9004d5cd702
train
12
keaton has a farm of oranges and apples he can harvest his oranges every 2 months and can sell the harvest for 50 he can harvest his apples every 3 months and can sell this harvest for 30 how much money can keaton earn every year || 420 the answer is 420
420 The answer is: 420
420 the answer is 420
{ "answer_tokens": 12, "stage1_tokens": 61, "stage2_tokens": 164, "stage3_tokens": 15 }
train-12
c568a6cc166d96bc0c7eb5f28c8fb085d8166db90131bbef8e1ba683f86ee04c
train
13
kenny plans to mow lawns all summer and then use the profits to buy video games and books he charges x per lawn the video games are 45 each the books are 5 each at the end of the summer he has mowed 35 lawns there are 5 video games he really wants and then he will use the rest for books he can buy 60 books what is the ...
15 The answer is: 15
15 the answer is 15
{ "answer_tokens": 10, "stage1_tokens": 104, "stage2_tokens": 282, "stage3_tokens": 13 }
train-13
66d815c066282f937917721cf9822ba88b68361f2d4d6a9958241fb50b72b272
train
14
what is the smallest positive integer that is both a multiple of 7 and a multiple of 4 || 28
28
28
{ "answer_tokens": 2, "stage1_tokens": 25, "stage2_tokens": 63, "stage3_tokens": 5 }
train-14
1bd9372a3e8b9faef5ed5a009051ecf0e5c198efc5aeb7688e2d545398e460db
train
15
solve for x 2 x 6 3 cdot2 x 26 || 4
4
4
{ "answer_tokens": 1, "stage1_tokens": 26, "stage2_tokens": 92, "stage3_tokens": 4 }
train-15
00998c95b8c2c42497bcf873866cfb375f7e02dd45d9aa1efba64364a8f97d89
train
16
what is the measure of the smaller angle between the hands of a 12 hour clock at 12 25 pm in degrees express your answer as a decimal to the nearest tenth || 137 5
137.5
137 5
{ "answer_tokens": 5, "stage1_tokens": 43, "stage2_tokens": 305, "stage3_tokens": 8 }
train-16
9e42e51f5a2862537b59efab6c4e396c59073790c3d5adf577fd1255bd797823
train
17
let mathbf a mathbf b and mathbf c be three mutually orthogonal unit vectors such that mathbf a p mathbf a times mathbf b q mathbf b times mathbf c r mathbf c times mathbf a for some scalars p q and r and mathbf a cdot mathbf b times mathbf c 1 find p q r || 1
1
1
{ "answer_tokens": 1, "stage1_tokens": 142, "stage2_tokens": 523, "stage3_tokens": 4 }
train-17
2a090c112b68fb9ae38f2f0349e30e8d3005fe85a795aac480b94a84303a5fe1
train
18
joe had 200 data points on his dataset he then added 20 more data points to the dataset if he reduced the data points by 1/4 of the total data points calculate the total number of data points the dataset contains || 180 the answer is 180
180 The answer is: 180
180 the answer is 180
{ "answer_tokens": 12, "stage1_tokens": 56, "stage2_tokens": 144, "stage3_tokens": 15 }
train-18
c533904c472092cd0210b14bc219209fa74ef2d0187f69055979712dab079b47
train
19
natalie bought some food for a party she is organizing she bought two cheesecakes an apple pie and a six pack of muffins the six pack of muffins was two times more expensive than the cheesecake and one cheesecake was only 25 cheaper than the apple pie if the apple pie cost 12 how much did natalie pay for all her shoppi...
48 The answer is: 48
48 the answer is 48
{ "answer_tokens": 10, "stage1_tokens": 85, "stage2_tokens": 155, "stage3_tokens": 13 }
train-19
023ea7aacbada557bf108d91378ff5feaa7083b11e7c1d2adc62e942509184d1
train
20
kim plants 80 cherry pits 25 of them sprout and kim sells x of the saplings she has 14 cherry saplings left what is the value of unknown variable x what is the value of unknown variable x || 6 the answer is 6
6 The answer is: 6
6 the answer is 6
{ "answer_tokens": 8, "stage1_tokens": 55, "stage2_tokens": 177, "stage3_tokens": 11 }
train-20
dc8949f96ea8a28e279d07eed4f705e7eb0c72f45546be1c62d29f8a71d79842
train
21
if john is allowed to watch cartoons every sunday but has to do chores for every 10 minutes of cartoons with 8 minutes of chores how many minutes of chores does he have to do if he watches cartoons for 2 hours || 96 the answer is 96
96 The answer is: 96
96 the answer is 96
{ "answer_tokens": 10, "stage1_tokens": 51, "stage2_tokens": 82, "stage3_tokens": 13 }
train-21
f7a04fc55e707b6174141ce20e260818c93206299558b2c2b117df822fc312e2
train
22
for any integer n what is the remainder when the sum of 7 n and n 3 is divided by 7 || 3
3
3
{ "answer_tokens": 1, "stage1_tokens": 35, "stage2_tokens": 49, "stage3_tokens": 4 }
train-22
53cf1d1cb0a77a5e126b98ef8ab58e0d9ad14d6a82e765477cf931b88b07eaa2
train
23
anton has an ant farm with two species of ants species a and species b although they look the same the number of ants in species a doubles each day while the number of ants in species b triples on day 0 anton counts a total of 30 ants in the farm on day 5 anton counts a total of 3281 ants how many of these ants belong ...
608
608
{ "answer_tokens": 3, "stage1_tokens": 92, "stage2_tokens": 253, "stage3_tokens": 6 }
train-23
28db14278d4fb0e90fbf339504ffa82665cc9a587a97e40afb1a4a44b8be239f
train
24
if one logger can cut down 6 trees per day and the forest is a rectangle measuring 4 miles by 6 miles with each square mile containing 600 trees how many months will it take for 8 loggers to cut down all the trees assuming there are 30 days in each month || 10 the answer is 10
10 The answer is: 10
10 the answer is 10
{ "answer_tokens": 10, "stage1_tokens": 68, "stage2_tokens": 174, "stage3_tokens": 13 }
train-24
266c00aee34b3adb57f5e4c18c1d66e6d9cc58ddfab0358575c63c2b3c061801
train
25
alan likes to support music creators so instead of downloading songs from the internet he visits a record store once in a while he decided now to buy 2 cds by the dark 1 cd by the creator avn and 5 cds that are mixes of songs from the 90s the price of the avn cd is 12 and it is half the price of one cd by the dark the ...
84 The answer is: 84
84 the answer is 84
{ "answer_tokens": 10, "stage1_tokens": 136, "stage2_tokens": 190, "stage3_tokens": 13 }
train-25
74277f0ccc633a8b1e23321358c7cce1c0678028f8d79e11f3f87e2f39eae94b
train
26
after a boy squirrel gathers 6 walnuts and adds them to the 12 already in the burrow dropping 1 on the way and a girl squirrel brings 5 more walnuts but eats 2 how many walnuts are left in their burrow || 20 the answer is 20
20 The answer is: 20
20 the answer is 20
{ "answer_tokens": 10, "stage1_tokens": 58, "stage2_tokens": 142, "stage3_tokens": 13 }
train-26
d5d0382a64c24ec16541cef591cafb9c38104b447595addc7279cc3367b8aa1b
train
27
a bear is preparing to hibernate for the winter and needs to gain x pounds at the end of summer the bear feasts on berries and small woodland animals during autumn it devours acorns and salmon it gained a fifth of the weight it needed from berries during summer and during autumn it gained twice that amount from acorns ...
1000 The answer is: 1000
1000 the answer is 1000
{ "answer_tokens": 14, "stage1_tokens": 117, "stage2_tokens": 346, "stage3_tokens": 17 }
train-27
c589e0d1a3b7e792f13040bf8d477757e5dd4849eb2416afd3398d689a7fc5e5
train
28
farmer randy has 1700 acres of cotton he needs to have planted in 5 days with a crew of 2 tractors working for 2 days and then a crew of 7 tractors working for another 3 days how many acres of cotton per day does each tractor need to plant to meet their planting deadline || 68 the answer is 68
68 The answer is: 68
68 the answer is 68
{ "answer_tokens": 10, "stage1_tokens": 73, "stage2_tokens": 153, "stage3_tokens": 13 }
train-28
4d337c133e3c45f389ddb0182ec0c2267681b59f588eeaecb58c3cb34509beca
train
29
the teachers divided the group of students into 3 groups of 8 but 2 students left early how many remain || 22 the answer is 22
22 The answer is: 22
22 the answer is 22
{ "answer_tokens": 10, "stage1_tokens": 28, "stage2_tokens": 55, "stage3_tokens": 13 }
train-29
01700612bea12cf8b116497c19e4e538670d74b91f748234d739293dea72d492
train
30
there are 6 girls and 8 boys in the school play if both parents of each kid attend the premiere how many parents will be in the auditorium || 28 the answer is 28
28 The answer is: 28
28 the answer is 28
{ "answer_tokens": 10, "stage1_tokens": 36, "stage2_tokens": 78, "stage3_tokens": 13 }
train-30
4c552487f2699252829069de038c17283d07881afe9556747d9e267a37554058
train
31
simplify frac 84 144 || frac 7 12
\frac{7}{12}
frac 7 12
{ "answer_tokens": 8, "stage1_tokens": 16, "stage2_tokens": 159, "stage3_tokens": 11 }
train-31
15ac17669aaa678a3e2ca0e18ce38f53f5f70690edd6344800807c4ea60088a2
train
32
what is the radius of the circle inscribed in triangle abc if ab 5 ac 6 bc 7 express your answer in simplest radical form || frac 2 sqrt 6
\frac{2\sqrt{6
frac 2 sqrt 6
{ "answer_tokens": 8, "stage1_tokens": 40, "stage2_tokens": 235, "stage3_tokens": 11 }
train-32
0b309847cdc0d6d9d5428575d7563b549b03ceed265078879bad2e3d6552d3d7
train
33
if adam picks 4 apples from his orchard every day for 30 days and at the end of the month he has a total of 230 remaining apples how many apples in total did adam collect from his orchard || 350 the answer is 350
350 The answer is: 350
350 the answer is 350
{ "answer_tokens": 12, "stage1_tokens": 52, "stage2_tokens": 78, "stage3_tokens": 15 }
train-33
eb003b003af1e618c98d06f299ab169152280d5979e4576ff7dc48abe9229d4c
train
34
elias uses a bar of soap every month if each bar of soap costs 4 how much does he spend on bars of soap in two years || 96 the answer is 96
96 The answer is: 96
96 the answer is 96
{ "answer_tokens": 10, "stage1_tokens": 34, "stage2_tokens": 82, "stage3_tokens": 13 }
train-34
6c1068c3006acbfb1c51b9229381162d5ad109e71c0412578aaacd97f8406f3c
train
35
if georgia is working on a math test with 75 problems and she has completed 10 problems after 20 minutes and twice as many problems after another 20 minutes how many problems does she have left to solve with 40 minutes remaining || 45 the answer is 45
45 The answer is: 45
45 the answer is 45
{ "answer_tokens": 10, "stage1_tokens": 57, "stage2_tokens": 91, "stage3_tokens": 13 }
train-35
3885e3314d6e14e53a8cd61dba3f65c9cbe6926f4cbdba4de6127a3c66a96292
train
36
mara has 12 bags with 2 marbles in each bag markus has x bags with 13 marbles in each bag how many more marbles does markus have if we know the answer to the above question is 2 what is the value of unknown variable x || 2 the answer is 2
2 The answer is: 2
2 the answer is 2
{ "answer_tokens": 8, "stage1_tokens": 63, "stage2_tokens": 157, "stage3_tokens": 11 }
train-36
4a83e1951312bf0399ba9a9e61c3ecdbb024b3f578f59a8aad91d694aa236b02
train
37
seal releases 3 songs every month he gets 2000 per song how much money does he get in his first 3 years || 216000 the answer is 216000
216000 The answer is: 216000
216000 the answer is 216000
{ "answer_tokens": 18, "stage1_tokens": 36, "stage2_tokens": 74, "stage3_tokens": 21 }
train-37
cc5c54b4a7d721d6d5c9b50bae8fc639f4a2da6c5b9cbc502f60ad6a2f41cc80
train
38
what is the value of 5a 2 13a 4 2a 3 when a 1frac12 || 0
0
0
{ "answer_tokens": 1, "stage1_tokens": 39, "stage2_tokens": 123, "stage3_tokens": 4 }
train-38
20be8ad08d7c7cf1dfdb4275aaf83cb0252bdb3614ee1f03d5f2cebc82adc670
train
39
four positive integers a b c and d have a sum of 36 if a 2 b 2 c times 2 d div x the value of the product a times b times c times d is 3840 what is the value of unknown variable x || 2
2
2
{ "answer_tokens": 1, "stage1_tokens": 80, "stage2_tokens": 504, "stage3_tokens": 4 }
train-39
15fc295c53d555bf285ffeb8c1118654959361a9063aa3de21b8a402a9a693ab
train
40
in rodrigo s classroom in the morning there are red chairs yellow chairs and blue chairs the number of red chairs is 4 the number of yellow chairs is twice the number of red chairs and the number of blue chairs is 2 fewer than the number of yellow chairs in the afternoon lisa borrows 3 chairs how many chairs are remain...
15 The answer is: 15
15 the answer is 15
{ "answer_tokens": 10, "stage1_tokens": 82, "stage2_tokens": 118, "stage3_tokens": 13 }
train-40
6e4cd5b62928a0acd12b788101de274d9b6bee4e0e06913d3de2160f5bcc11d0
train
41
if the rate for mowing a lawn is 14 per hour and david mowed for 2 hours a day for a week how much money does he have left after spending half of his earnings on a pair of shoes and giving half of the remaining money to his mom || 49 the answer is 49
49 The answer is: 49
49 the answer is 49
{ "answer_tokens": 10, "stage1_tokens": 59, "stage2_tokens": 154, "stage3_tokens": 13 }
train-41
cf1b4ca4c721a9b61bd6e15ee910f6c0143a9faf1256b7585c3af2a104e6e854
train
42
if hannah fills her kids stockings with 4 candy canes 2 beanie babies and 1 book and she has 3 kids what is the total number of stocking stuffers that she buys || 21 the answer is 21
21 The answer is: 21
21 the answer is 21
{ "answer_tokens": 10, "stage1_tokens": 47, "stage2_tokens": 76, "stage3_tokens": 13 }
train-42
e378b7f65df482b637218231a7c213ab1219f0724cee80af87ac2526551714da
train
43
walter works 5 days a week in a fast food chain and earns 5 per hour since he is a working student he can only work 4 hours a day and allocates 3/4 of his weekly earning for his schooling how much does he allocate for school || 75 the answer is 75
75 The answer is: 75
75 the answer is 75
{ "answer_tokens": 10, "stage1_tokens": 61, "stage2_tokens": 95, "stage3_tokens": 13 }
train-43
d7a41b0daf1d62aef24c7bdf752906d0fd93a7a69c8d9b9fe9d81748fd726004
train
44
matthew and his brother shawn played swimming pool basketball each basket was worth 3 points matthew scored x points shawn scored 6 points the total number of baskets made during this game is 5 what is the value of unknown variable x what is the value of unknown variable x || 9 the answer is 9
9 The answer is: 9
9 the answer is 9
{ "answer_tokens": 8, "stage1_tokens": 64, "stage2_tokens": 157, "stage3_tokens": 11 }
train-44
fff5a52fc27b142229b0f1e70eb45defdd66367f3dd86fb89f78afc9faab55a2
train
45
how many different symbols can be represented using sequences of 1 2 3 or 4 dashes and dots in morse code || 30
30
30
{ "answer_tokens": 2, "stage1_tokens": 31, "stage2_tokens": 196, "stage3_tokens": 5 }
train-45
6e353bec46f84cd1d7963c89033a9cccda43a583b8397358d850b6f394b8d999
train
46
pima invested 400 in ethereum in the first week it gained 25 in value in the second week it gained an additional 50 on top of the previous gain how much is her investment worth now || 750 the answer is 750
750 The answer is: 750
750 the answer is 750
{ "answer_tokens": 12, "stage1_tokens": 54, "stage2_tokens": 112, "stage3_tokens": 15 }
train-46
c5554778120bac3922939ba2cf675cd49ba686bbdcb9f248c6601dbe6e43c572
train
47
amber and josh are flying to france for vacation their flight leaves at 8 00 pm and as an international flight it s recommended that they check in 2 hours early it will take x minutes to drive to the airport and another 15 minutes to park their vehicle and make their way to the terminal they can leave their house at 5 ...
45 The answer is: 45
45 the answer is 45
{ "answer_tokens": 10, "stage1_tokens": 97, "stage2_tokens": 325, "stage3_tokens": 13 }
train-47
ec7b554fea3c653920f378b260b39db8cd4afe66cca9702f2a6e2eccae2d79a0
train
48
marcos has to get across a 5 mile lake in his speedboat in 10 minutes so he can make it to work on time how fast does he need to go in miles per hour to make it || 30 the answer is 30
30 The answer is: 30
30 the answer is 30
{ "answer_tokens": 10, "stage1_tokens": 47, "stage2_tokens": 97, "stage3_tokens": 13 }
train-48
0ff8e00df825d4a1d184a8078c5a0173a758fd044aba64e54d2213b85973db16
train
49
mr john works at a shopping mall and receives a monthly income of x 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 if we know the answer to the above question is 1900 what is the value...
2000 The answer is: 2000
2000 the answer is 2000
{ "answer_tokens": 14, "stage1_tokens": 82, "stage2_tokens": 172, "stage3_tokens": 17 }
train-49
ab87a59513cd05ff9f717d80f5e77d41ad290f761455c3d8e7599d3f1152e1cb
train
50
the perimeter of a square with side length x units is equal to the circumference of a circle with radius 2 units what is the value of x express your answer as a decimal to the nearest hundredth || 3 14
3.14
3 14
{ "answer_tokens": 4, "stage1_tokens": 49, "stage2_tokens": 98, "stage3_tokens": 7 }
train-50
cc0c9b18da87d37345f44207656803fe9fd7fe9cb609204f68514a91a388e9f9
train
51
alec wants to buy 14 identical shirts and has a budget of 130 he plans to shop at a warehouse store that charges a 2 entrance fee the price of each shirt is a whole dollar amount and a 5 sales tax will be added what is the highest possible price in dollars for a shirt that would allow alec to purchase all the shirts ||...
8
8
{ "answer_tokens": 1, "stage1_tokens": 83, "stage2_tokens": 270, "stage3_tokens": 4 }
train-51
8b23e5a7ca788a26c50cbe5613ea0fe7792c4d7747a6e0b73d1070ab43479ceb
train
52
if there were initially 14 caterpillars on the tree and 4 more eggs hatched resulting in baby caterpillars coming out to eat the leaves and then 8 fat caterpillars left the tree to form cocoons and become butterflies how many caterpillars are currently remaining on the tree || 10 the answer is 10
10 The answer is: 10
10 the answer is 10
{ "answer_tokens": 10, "stage1_tokens": 67, "stage2_tokens": 72, "stage3_tokens": 13 }
train-52
029e692091595f229379984b68259cff47d8cf0ea8f3e8714709a41091e70a97
train
53
there are 235 books in a library on tuesday 227 books are taken out on thursday 56 books are brought back and 35 books are taken out again on friday how many books are there now || 29 the answer is 29
29 The answer is: 29
29 the answer is 29
{ "answer_tokens": 10, "stage1_tokens": 54, "stage2_tokens": 58, "stage3_tokens": 13 }
train-53
e3f5bf5fb4fcc5c0540870e849b8776cc9574814a83fc5308f52e81bfea5c88c
train
54
a gift shop sells bracelets at 15 each a gold heart necklace at x and a personalized coffee mug at 20 raine buys three bracelets two gold heart necklaces and one coffee mug for her friends how much change does raine get back if she gives a one hundred dollar bill if we know the answer to the above question is 15 what i...
10 The answer is: 10
10 the answer is 10
{ "answer_tokens": 10, "stage1_tokens": 92, "stage2_tokens": 265, "stage3_tokens": 13 }
train-54
4e7da52be8e67d0b161c5cd81c0b87ed6128cd5c5e54c7b72d12ff52b637a24b
train
55
georgie is a varsity player on a football team he can run 40 yards within 5 seconds if he can improve his speed by forty percent how many yards will he be able to run within 10 seconds || 112 the answer is 112
112 The answer is: 112
112 the answer is 112
{ "answer_tokens": 12, "stage1_tokens": 52, "stage2_tokens": 119, "stage3_tokens": 15 }
train-55
874534c70bc417d613418304c400aa3c812ee2b81b1f2db88b11fe0002b70806
train
56
a scale drawing of a park shows that one inch represents 800 feet a line segment in the drawing that is x inches long represents 3800 feet what is the value of unknown variable x || 4 75
4.75
4 75
{ "answer_tokens": 4, "stage1_tokens": 47, "stage2_tokens": 184, "stage3_tokens": 7 }
train-56
bd7d8454af47bd435222e6c79e07fa70999493b335e978a9eb9f18d271aa8436
train
57
brendan can cut 8 yards of grass per day he bought a lawnmower and it helped him to cut more yards by fifty percent per day how many yards will brendan be able to cut after a week || 84 the answer is 84
84 The answer is: 84
84 the answer is 84
{ "answer_tokens": 10, "stage1_tokens": 48, "stage2_tokens": 79, "stage3_tokens": 13 }
train-57
100efa6304ec31937d7c9532f200498d6ca86814d40badb82cf00991fffe4dbd
train
58
a dietitian ate three fourths of her lunch during her lunch break if the total amount of food she had prepared for lunch had x calories and the recommended calorie intake by the fda is 25 she ate 5 more calories than the recommended amount what is the value of unknown variable x || 40 the answer is 40
40 The answer is: 40
40 the answer is 40
{ "answer_tokens": 10, "stage1_tokens": 65, "stage2_tokens": 185, "stage3_tokens": 13 }
train-58
d5eb14bcccca014e1dbf47f95eaa53a87447064bf97ba836e4bf438a957745c2
train
59
where does the line passing through the points 1 7 and 3 11 intersect the y axis provide your answer in the form of an ordered pair || 05
(0,5)
5
{ "answer_tokens": 5, "stage1_tokens": 40, "stage2_tokens": 188, "stage3_tokens": 8 }
train-59
b8ea48dd111a4810d7d88d56cbc1203b39f14bef4a8f467c924b79579571906e
train
60
if the complement of an angle is 5 degrees more than four times the angle what is the measure of the angle in degrees || 17
17
17
{ "answer_tokens": 2, "stage1_tokens": 29, "stage2_tokens": 91, "stage3_tokens": 5 }
train-60
3351e8e17953811de0cd977f1bdf2dc64dcd2569ead887ebf24fcb4f924ffa16
train
61
bobby has three squares of fabric that he will turn into a flag the first square is 8 feet by 5 feet the second one is x feet by 7 feet the third one is 5 feet by 5 feet if he wants his flag to be 15 feet long how tall will it be if we know the answer to the above question is 9 what is the value of unknown variable x |...
10 The answer is: 10
10 the answer is 10
{ "answer_tokens": 10, "stage1_tokens": 93, "stage2_tokens": 327, "stage3_tokens": 13 }
train-61
093b62d864fe7948df68f2733f274f6b956297327bd6b4353e4897c151a9f26d
train
62
calculate the value of the infinite series sum n 1 infty frac 1 n n 2 || frac 3
\frac{3
frac 3
{ "answer_tokens": 4, "stage1_tokens": 35, "stage2_tokens": 333, "stage3_tokens": 7 }
train-62
5d5f9edc2e218e17b245c464676411c722757a91674b4ffbf66662fddef1891a
train
63
two integers are relatively prime if they have no common factors other than 1 or 1 what is the probability that a positive integer less than or equal to 30 is relatively prime to x express your answer as a common fraction if we know the answer to the above question is frac 4 15 what is the value of unknown variable x |...
30
30
{ "answer_tokens": 2, "stage1_tokens": 78, "stage2_tokens": 636, "stage3_tokens": 5 }
train-63
c6593d1c68d2fdbb6cd3b48c203a426ce9fd511c8362e10c39fe4deb33b8e7fb
train
64
my co worker larry only likes numbers that are divisible by 4 such as 20 or 4004 how many different ones digits are possible in numbers that larry likes || 5
5
5
{ "answer_tokens": 1, "stage1_tokens": 44, "stage2_tokens": 42, "stage3_tokens": 4 }
train-64
9f03eeda5c82f59937e1f2821d004172787887ad20ac1d843351fd4110268f7c
train
65
yulia was able to net 44 in profit this week her lemonade stand made a gross revenue of 47 this week she was also able to babysit and made x however her lemonade stand is expensive to run because she needs to buy lemons sugar and sunscreen how much did she spend to operate her lemonade stand in dollars if we know the a...
31 The answer is: 31
31 the answer is 31
{ "answer_tokens": 10, "stage1_tokens": 103, "stage2_tokens": 110, "stage3_tokens": 13 }
train-65
042b540212edfeaaabd2011a25f21aadece63a1697cdc718c961db84327a4ff5
train
66
half of all the people in nantucket will attend a planned meeting for a bowl game there are x people in nantucket and the number of males going to the meeting is twice the number of females there are 50 females going to the meeting what is the value of unknown variable x what is the value of unknown variable x || 300 t...
300 The answer is: 300
300 the answer is 300
{ "answer_tokens": 12, "stage1_tokens": 75, "stage2_tokens": 222, "stage3_tokens": 15 }
train-66
bc99aedff3c9b6c60dd20ec7725758c6d29e74ca7c804b4304c64311c2d38ebf
train
67
lisa walks 10 meters each minute every day she walks for an hour how many meters will lisa walk in two days || 1200 the answer is 1200
1200 The answer is: 1200
1200 the answer is 1200
{ "answer_tokens": 14, "stage1_tokens": 30, "stage2_tokens": 58, "stage3_tokens": 17 }
train-67
7fcb6745afb10930cdd4a97ba7cee9c81fe95ad11a0b6097319a82aac457ea15
train
68
roberta started off with 8 vinyl records her friends gave her 12 records for her birthday and she bought 30 more at a garage sale it takes her x days to listen to 1 record it will take her 100 days to listen to her record collection what is the value of unknown variable x || 2 the answer is 2
2 The answer is: 2
2 the answer is 2
{ "answer_tokens": 8, "stage1_tokens": 74, "stage2_tokens": 218, "stage3_tokens": 11 }
train-68
e3c17da2dd593615d00d86fe934ea597344a3dc7131931780a898c27a9ac7b63
train
69
tickets to the school play cost 6 for students and 8 for adults if x students and 12 adults bought tickets 216 dollars worth of tickets were sold what is the value of unknown variable x || 20 the answer is 20
20 The answer is: 20
20 the answer is 20
{ "answer_tokens": 10, "stage1_tokens": 50, "stage2_tokens": 247, "stage3_tokens": 13 }
train-69
fa605f4575212d674b131541a9acc44d8bced522a8d4c2dac51947fff2fda321
train
70
what fraction of the earth s surface is habitable for humans given that only one quarter of the surface is not covered by bodies of water and only one half of that exposed land area is inhabitable || frac 1
\frac{1
frac 1
{ "answer_tokens": 4, "stage1_tokens": 44, "stage2_tokens": 79, "stage3_tokens": 7 }
train-70
3c3c494480709945ab0145e167b80e7c0f61964e843ee648b5a8bc26560aef49
train
71
there were 15 males and 10 more girls at the party each attendee received 2 cans of soft drinks if mary bought several boxes of soft drinks where a box contains x cans and is priced at 5 for each box mary spent 50 on soft drinks what is the value of unknown variable x || 8 the answer is 8
8 The answer is: 8
8 the answer is 8
{ "answer_tokens": 8, "stage1_tokens": 70, "stage2_tokens": 378, "stage3_tokens": 11 }
train-71
6a66c953edfbc0b8b42549dd2a2ddc9642f6333d7a884f1b9722dc7b48b6f086
train
72
emmanuel will stay in guam in december for 10 days in which he has to use international data that would cost 3 50 per day emmanuel has been paying x per month for his regular plan emmanuel s charges for december will be 210 in all what is the value of unknown variable x || 175 the answer is 175
175 The answer is: 175
175 the answer is 175
{ "answer_tokens": 12, "stage1_tokens": 70, "stage2_tokens": 189, "stage3_tokens": 15 }
train-72
3239991a7ccd48c978902ce6678b226953dbc9b71ee3140667f18c32a68dbbf5
train
73
what is the 6 digit repeating pattern in the decimal representation of frac 3 13 || 230769
230769
230769
{ "answer_tokens": 6, "stage1_tokens": 24, "stage2_tokens": 254, "stage3_tokens": 9 }
train-73
361b593ac9ecf86eb2cbba269df02601834b40ee600578ca049fdd3744e0c61c
train
74
tom and elizabeth have a competition to climb a hill elizabeth takes 30 minutes to climb the hill tom takes four times as long as elizabeth does to climb the hill how many hours does it take tom to climb up the hill || 2 the answer is 2
2 The answer is: 2
2 the answer is 2
{ "answer_tokens": 8, "stage1_tokens": 51, "stage2_tokens": 79, "stage3_tokens": 11 }
train-74
92c9dcd66cdc64171c0f90d5331bde55fa90b38373b4b822706b3409fa2a2418
train
75
if george paid 16 for the movie ticket and the nachos were half the price of the ticket what was the total amount that george paid for his visit to the movie theater || 24 the answer is 24
24 The answer is: 24
24 the answer is 24
{ "answer_tokens": 10, "stage1_tokens": 40, "stage2_tokens": 60, "stage3_tokens": 13 }
train-75
658b26ac37b76ed410ec659aafa43e7c95fced213e1bcc10773df1d662cfb001
train
76
ishmael was monitoring whales out at sea for conservation purposes each time he takes a trip to sea he sees a different group of whales on his first trip he counts 28 male whales and twice as many female whales on his second trip he sees 8 baby whales each travelling with their parents on his third trip he counts half ...
178 The answer is: 178
178 the answer is 178
{ "answer_tokens": 12, "stage1_tokens": 116, "stage2_tokens": 216, "stage3_tokens": 15 }
train-76
8ec9f02042ae71ff4c73e4dd9a8645d407ef864cbf43d640365be27f19126f6c
train
77
given a star b a 2 2ab b 2 what is the value of a star b when a x and b 6 if we know the answer to the above question is 100 what is the value of unknown variable x || 4
4
4
{ "answer_tokens": 1, "stage1_tokens": 69, "stage2_tokens": 315, "stage3_tokens": 4 }
train-77
a96bb5927d821207a5068518874640be34c646c42bcdd525ab564da944963108
train
78
if javier initially baked 200 cookies using an online recipe and his wife took 30 of the cookies and his daughter took 40 cookies from the remaining and javier himself ate half of the remaining cookies what is the total number of cookies that were left uneaten || 50 the answer is 50
50 The answer is: 50
50 the answer is 50
{ "answer_tokens": 10, "stage1_tokens": 63, "stage2_tokens": 134, "stage3_tokens": 13 }
train-78
63f8b1c369488f3c3c88b963d2092b1a2153c892f32fb502b483d2e9b9e03449
train
79
how many numbers are in the first x rows of pascal s triangle from the 0th row to the 19th row the answer is 210 what is the value of unknown variable x || 20
20
20
{ "answer_tokens": 2, "stage1_tokens": 49, "stage2_tokens": 203, "stage3_tokens": 5 }
train-79
c0fd100efc90d4123a477b46b9eda0203239b61259a5b940b9a01f869eca5413
train
80
jenny is planning her catering budget for her wedding she s going to have 80 guests 3 times as many guests want steak as chicken if each steak entree costs 25 and each chicken entree costs 18 how much is the total catering budget || 1860 the answer is 1860
1860 The answer is: 1860
1860 the answer is 1860
{ "answer_tokens": 14, "stage1_tokens": 61, "stage2_tokens": 128, "stage3_tokens": 17 }
train-80
da5785c8e1a18f97a104f7f81eaed14e3d396d2354f28bc3dc5fb23ece1bc981
train
81
james is a first year student at a university in chicago he has a budget of 1000 per semester he spends 30 of his money on food 15 on accommodation 25 on entertainment and the rest on coursework materials how much money does he spend on coursework materials || 300 the answer is 300
300 The answer is: 300
300 the answer is 300
{ "answer_tokens": 12, "stage1_tokens": 70, "stage2_tokens": 202, "stage3_tokens": 15 }
train-81
fd082582e17850da8bb662a038926ad44a4972bb0ac2331aa302054788649661
train
82
the truncated right circular cone has a large base radius 8 cm and a small base radius of 4 cm the height of the truncated cone is x cm how many text cm 3 are in the volume of this solid asy import olympiad size 150 defaultpen linewidth 0 8 dotfactor 4 draw ellipse 00 41 draw ellipse 03 21/2 draw 3 97 1 1 973 1 3 97 1 ...
6
6
{ "answer_tokens": 1, "stage1_tokens": 175, "stage2_tokens": 301, "stage3_tokens": 4 }
train-82
18f7e221d0270022d2ee03cb173072b9d32846f25f1c8dedf69cd3d52c89bce5
train
83
a tank contains 6000 liters of water 2000 liters evaporated and then x liters were drained by bob how many liters are in the tank if it now rains for 30 minutes and every 10 minutes 350 liters of rain are added to the tank if we know the answer to the above question is 1550 what is the value of unknown variable x || 35...
3500 The answer is: 3500
3500 the answer is 3500
{ "answer_tokens": 14, "stage1_tokens": 92, "stage2_tokens": 288, "stage3_tokens": 17 }
train-83
e5ef702e56cba5cdf690c23859e6fd8df628266c6426e067dfdc2a854179385a
train
84
find 1 234 4 6 div 4 4 || 17
17
17
{ "answer_tokens": 2, "stage1_tokens": 23, "stage2_tokens": 112, "stage3_tokens": 5 }
train-84
d89088dffa5f936e3917b45faffae1a31226a282eb722a60750a5a8ff660d866
train
85
jerry’s two daughters play softball on different teams they each have x games this season each team practices 4 hours for every game they play if each game lasts for 2 hours how many hours will jerry spend at the field watching his daughters play and practice altogether if we know the answer to the above question is 96...
8 The answer is: 8
8 the answer is 8
{ "answer_tokens": 8, "stage1_tokens": 81, "stage2_tokens": 168, "stage3_tokens": 11 }
train-85
bebeaa40029e725a7994c4c668a1d15aff0d54aee8a13ce87cc2f9f77957a948
train
86
compute begin pmatrix 2 1 3 4 end pmatrix begin pmatrix 3 x end pmatrix if we know the answer to the above question is begin pmatrix 7 13 end pmatrix what is the value of unknown variable x || 1
1
1
{ "answer_tokens": 1, "stage1_tokens": 82, "stage2_tokens": 294, "stage3_tokens": 4 }
train-86
6313a7c78093c0f03b77c2b2a124e1043d79583c5f6c617701ab0f3224fa8f2f
train
87
each member of greg’s softball team needs to buy one uniform made up of a shirt a pair of pants and socks a shirt costs 7 50 a pair of pants cost x and socks cost 4 50 each if each team member buys the uniform items on their own if they buy the items as a group they are given a discount a discounted shirt cost 6 75 a d...
15 The answer is: 15
15 the answer is 15
{ "answer_tokens": 10, "stage1_tokens": 147, "stage2_tokens": 500, "stage3_tokens": 13 }
train-87
1131896ca7e17f73cb58c085d2b21cf7e41e1a9a8b2ba2805f3dc3801ca04882
train
88
christine figures it would take a pint of paint to paint the front and back of 1 door in her house she has 8 doors to paint at the paint store she can either buy 8 separate pints of paint for 8 00 a pint or a gallon of paint which is the same as 8 pints for a flat 55 00 how much money will she save if she buys the gall...
9 The answer is: 9
9 the answer is 9
{ "answer_tokens": 8, "stage1_tokens": 106, "stage2_tokens": 104, "stage3_tokens": 11 }
train-88
9d452e9d30fde921acda43cd1b1774e1d84cffc076492ce6ca35f5e87b7b24f5
train
89
if there are 6 dogs and 2 ducks in the garden what is the total number of feet in the garden || 28 the answer is 28
28 The answer is: 28
28 the answer is 28
{ "answer_tokens": 10, "stage1_tokens": 27, "stage2_tokens": 75, "stage3_tokens": 13 }
train-89
8fd1a1d9dad24856ee006dee4c35ec06bb0db83a15e2663baf74cfe8c7fdf68b
train
90
if f is a linear function and f 6 f 2 12 what is the value of f 12 f 2 || 30
30
30
{ "answer_tokens": 2, "stage1_tokens": 43, "stage2_tokens": 204, "stage3_tokens": 5 }
train-90
93930473eb348a3c06b23ee85d6c29d5dcdeca723a0182e338990042f3367fba
train
91
the average age of the 10 females in a choir is 30 years the average age of the 15 males in the same choir is 35 years what is the average age in years of the 25 people in the choir || 33
33
33
{ "answer_tokens": 2, "stage1_tokens": 58, "stage2_tokens": 112, "stage3_tokens": 5 }
train-91
9e52d15bc86d74526f5fd92538f80d23e980b1ec2814fd702ba0fa94b0e9e58a
train
92
a fruit and vegetable merchant installed 15 kg of carrots 13 kg of zucchini and 8 kg of broccoli he sold only x of them what mass of vegetables did he sell if we know the answer to the above question is 18 what is the value of unknown variable x || 50 the answer is 50
50 The answer is: 50
50 the answer is 50
{ "answer_tokens": 10, "stage1_tokens": 68, "stage2_tokens": 188, "stage3_tokens": 13 }
train-92
78b6c90215303881ad89792bf8c93cfd91278242a775664a97b17ab723fd9871
train
93
if x of four digit numbers have a repeated digit the repeated digits do not need to be adjacent then what is x express your answer as a decimal to the nearest tenth || 49 6
49.6
49 6
{ "answer_tokens": 4, "stage1_tokens": 45, "stage2_tokens": 363, "stage3_tokens": 7 }
train-93
ad1a061bad96ae87c4a6eeb2931dcf79396383e9b23ebfeac708f0f938685d93
train
94
find the fraction that equals 0 overline 4 || frac 4
\frac{4
frac 4
{ "answer_tokens": 4, "stage1_tokens": 16, "stage2_tokens": 69, "stage3_tokens": 7 }
train-94
beb5c4f5a7394f50acf54211abcc8fc878b4ac880732d94fc312806f92929a0e
train
95
hansel has a created album on spotify that contains 25 songs and each song is 3 minutes long if she adds x more songs to the album with the same duration it will take her 105 minutes to finish all the songs in the album what is the value of unknown variable x || 10 the answer is 10
10 The answer is: 10
10 the answer is 10
{ "answer_tokens": 10, "stage1_tokens": 67, "stage2_tokens": 243, "stage3_tokens": 13 }
train-95
507cd6e21015f2c0ef86a4fd0043b8fcd34552c07ed2bd1e23769735dcb50481
train
96
if john paid the same price for his first 3 pieces of art totaling 45000 and the next piece of art was 50 more expensive than those what was the total cost of all the art || 67500 the answer is 67500
67500 The answer is: 67500
67500 the answer is 67500
{ "answer_tokens": 16, "stage1_tokens": 52, "stage2_tokens": 145, "stage3_tokens": 19 }
train-96
1faacbafa9d617b36fc3926fe755751287c0176788bf682c5dca8be362d4a82c
train
97
find the inverse of the matrix begin pmatrix x 4 3 2 end pmatrix if the inverse does not exist then enter the zero matrix if we know the answer to the above question is begin pmatrix 0 0 0 0 end pmatrix what is the value of unknown variable x || 6
6
6
{ "answer_tokens": 1, "stage1_tokens": 85, "stage2_tokens": 242, "stage3_tokens": 4 }
train-97
9b4211e3f486034fbb1d6569e0583375d589d278aa4ea3db55f98125255c52f5
train
98
if evan currently owns 40 fewer books than he had 2 years ago and he will have 60 more than five times as many books as he owns now in five years how many books will evan have in total in five years if he had 200 books two years ago || 860 the answer is 860
860 The answer is: 860
860 the answer is 860
{ "answer_tokens": 12, "stage1_tokens": 63, "stage2_tokens": 103, "stage3_tokens": 15 }
train-98
b48daa4018566b3ad12e631093d1929b89214a352d5d0a457924079e12e44f1b
train
99
simplify sqrt 288 || 12 sqrt 2
12\sqrt{2
12 sqrt 2
{ "answer_tokens": 6, "stage1_tokens": 12, "stage2_tokens": 127, "stage3_tokens": 9 }
train-99
1ed1a326dc43d9b6d51068290ae81aabbffc78a5a55d88f670c408ceb9842240
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recurrent-staged-loras exported partitions

Source

  • Source dataset: metamath_qa
  • Source split: train

Protocol

  • Transformation/staging follows repository staged token-mask construction.
  • Filtering rules are preserved from dataset_preprocessing_summary.json.
  • Includes deterministic sample IDs and per-sample fingerprints for reproducibility.

Limitations

  • These partitions are derived artifacts for experiment reproducibility.
  • Publish only if you have rights to share the underlying data.
  • Do not upload private/proprietary dataset content without explicit authorization.
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