Common Core Standard 4.OA.A.3
This standard covers the following:
Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be Interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.
Problem: A songwriter creates a long ballad with many verses. Each verse has 162 words and he divides these into 18 lines per verse. This gives a certain number of words per line. To each line, he adds 34 more words as a refrain. What is the total number of words present in each line now?
LLemma 7B:
Reasoning: 162/18 = <<162/18=8.888888888888889>>8.888888888888889 8.888888888888889 + 34 = <<8.888888888888889+34=42.88888888888889>>42.88888888888889 ### Answer: 42.88888888888889
Expected answer: 43
Correct? No
Problem: A penguin biologist counted 35 penguins on a small ice floe. In another part of the Antarctic, she counted a different group of penguins and found there were approximately 598 divided evenly among 26 ice floes. After returning to the first place, she found that the penguin population had increased by 49. Wishing to conduct another survey, she decided to take 33 more penguins into account. However, when she counted them again, she realized she had overestimated and had to subtract 10 from her calculations. Her final step was to add in the penguins sheβd left at her base camp, which were 20 adults and 14 chicks. How many penguins did she count in total?
LLemma 7B:
Reasoning: 35+49=<<35+49=84>>84 598/26=<<598/26=23>>23 84+23=<<84+23=107>>107 107-10=<<107-10=97>>97 97+20+14=<<97+20+14=121>>121 ### Answer: 121
Expected answer: 164
Correct? No
Problem: In a local park, a jungle gym has a total of 27 steps. If the top 19 steps are blue and rest along with another 19 steps are red, we get a certain number of colored steps. On another jungle gym, there are 34 green steps. What is the total number of colored steps on the two jungle gyms?
LLemma 7B:
Reasoning: The total number of colored steps on the two jungle gyms is 27+34 = <<27+34=61>>61. ### Answer: 61
Expected answer: 61
Correct? Yes
Problem: If a cloud releases 47 millimeters of rainfall per hour over a one hour period, and the average cloud typically releases 775 millimeters of rainfall over the course of 31 hours, find the amount of rainfall from the following condition. Subtract 22 from the average rainfall of the typical cloud per hour then multiply this by 23. Add this result to a constant cloud factor of 42. Add this new result to the hourly rainfall of the initial cloud and subtract 2 from it. What is the resultant millimeters of rainfall?
LLemma 7B:
Reasoning: 47-22=<<47-22=25>>25, 25*23=<<25*23=575>>575, 575+42=<<575+42=617>>617, 617+23=<<617+23=640>>640, 640-2=<<640-2=638>>638
Expected answer: 156
Correct? No
Problem: Nadia likes to practice playing the piano. The other day she practiced for 45 minutes in the morning. In the same day, she also practiced for another 35 minutes in the afternoon and then another 35 minutes in the evening. How long did Nadia practice the piano in total that day?
LLemma 7B:
Reasoning: Nadia practiced for 45+35+35 = <<45+35+35=125>>125 minutes in total. ### Answer: 125
Expected answer: 115
Correct? No
Problem: A popular clothing store sells dresses for $44 each. During a flash sale, they further reduce prices by a factor of 465 divided by 31. How much does a dress cost during the flash sale?
LLemma 7B:
Reasoning: 465/31 = <<465/31=15>>15 A dress costs $44/15 = <<44/15=2.9333333333333335>>2.9333333333333335 during the flash sale. ### Answer: 2.9333333333333335
Expected answer: 660
Correct? No
Problem: A rope maker made 46 meters of rope on Monday. On Tuesday, he made as many meters of rope as he did on Monday, plus an additional 19 meters. However, by Wednesday, 9 meters of this rope had been damaged and was unusable. How many meters of usable rope does he have after Wednesday?
LLemma 7B:
Reasoning: The rope maker made 46+19 = <<46+19=65>>65 meters of rope on Tuesday. He had 65-9 = <<65-9=56>>56 meters of rope left on Wednesday. ### Answer: 56
Expected answer: 56
Correct? Yes
Problem: Following the situation from the previous days, on Thursday, a merchant came to buy multiple lengths of the rope. Each length was as long as the total usable ropes the rope maker had after Wednesday. If the merchant bought a total of 6 lengths, how many meters of rope did he purchase in total?
LLemma 7B:
Reasoning: The merchant bought 6 lengths of rope. Each length was as long as the total usable ropes the rope maker had after Wednesday. The merchant bought 56*6 = <<56*6=336>>336 meters of rope in total. ### Answer: 336
Expected answer: 336
Correct? Yes
Problem: Continuing from the previous days, let's assume that instead of 9 meters, 13 meters of the rope made on Tuesday had been damaged and was unusable. In that scenario, how many meters of usable rope would the rope maker have after Wednesday?
LLemma 7B:
Reasoning: The rope maker made 46+19 = <<46+19=65>>65 meters of rope on Tuesday. He had 65-13 = <<65-13=52>>52 meters of rope left on Wednesday. ### Answer: 52
Expected answer: 52
Correct? Yes
Problem: Juliana bought 16 pairs of vintage earrings for a gift. Each pair costs $2. She also chose a special jewelry box that costs $25. In addition, she paid $48 for the gift wrapping service. How much did she spend in total for her gift?
LLemma 7B:
Reasoning: Juliana spent $25 for the gift box. She spent $16*2 = <<16*2=32>>32 for the vintage earrings. She spent $48 for the gift wrapping service. Juliana spent $25+32+48 = <<25+32+48=105>>105 in total for her gift. ### Answer: 105
Expected answer: 105
Correct? Yes
Problem: If Emma takes 60 beads and divides them equally among 3 of her friends, each friend will get a certain number of beads. She then adds 4 more beads to each friend's pile to start making necklaces. How many beads does each friend have now?
LLemma 7B:
Reasoning: Each friend will get 60/3 = <<60/3=20>>20 beads. Each friend will have 20+4 = <<20+4=24>>24 beads. ### Answer: 24
Expected answer: 24
Correct? Yes
Problem: After distributing the beads among her friends, Emma realizes that she actually wanted to divide her 60 beads evenly among 28 friends instead of 3. She recalculates and then adds 4 more beads to each friend's stack after the initial division. How many beads does each friend have now?
LLemma 7B:
Reasoning: Each friend will get 60/28 = <<60/28=2.14>>2.14 beads. Each friend will have 2.14+4 = <<2.14+4=6.14>>6.14 beads. ### Answer: 6.14
Expected answer: 43/7
Correct? No
Problem: A young boy with a creative mind decided to build a kite. He started with 37 paper straws but decided that 4 were unnecessary and removed them. Later, he realized his kite was still too bulky and removed another 23 straws. He multiplied the remaining number of straws by 45, subtracted 49 from that total, and then took out 7 more straws. How many straws did the boy have left?
LLemma 7B:
Reasoning: 37-4=<<37-4=33>>33 straws were left after removing the 4 straws. 33*45-49-7=<<33*45-49-7=1116>>1116 straws were left after removing the 49 and 7 straws. ### Answer: 1116
Expected answer: 394
Correct? No
Problem: At the zoo, there were 2 trips being hosted. Each trip was allowed to see 2 animals. However, each animal had 3 baby animals with them, making the number of animals seen per trip multiplied by 3. If each baby animal could be photographed 21 times, how many photos could be taken in total? Also, if 34 photos were spoiled and unusable out of the entire batch, but guests were given the opportunity to take an additional 30 photos later, how many usable photos would there be in total?
LLemma 7B:
Reasoning: 2 trips x 2 animals per trip x 3 baby animals per animal x 21 photos per baby animal = <<2*2*3*21=252>>252 photos in total. 252 photos - 34 photos = <<252-34=218>>218 photos usable. ### Answer: 218
Expected answer: 248
Correct? No
Problem: In a literacy event, a group of learners were asked to write a word from letters. In the first round, they could form a word with 47 letters, but due to a mistake, they had to remove 30 letters. Then, they figured out they could still add 10 more letters to this word. In the next round, they removed 3 of these letters from the updated word. How many letters were there in the word after this last deletion?
LLemma 7B:
Reasoning: 47-30+10 = <<47-30+10=27>>27 letters in the word after the last deletion. ### Answer: 27
Expected answer: 24
Correct? No
Problem: A turtle named Tommy moves at 74/37 miles per hour. If Tommy maintains his current speed for a while then slows down by 3 mph, then speeds up to his initial speed again, what would be his average speed?
LLemma 7B:
Reasoning: Tommy's speed is 74/37 miles per hour. Tommy's speed decreases by 3 miles per hour. Tommy's speed increases by 3 miles per hour. ### Answer: 74/37
Expected answer: 1
Correct? No
Problem: Liam has 40 sets of building blocks. Each set contains 16 blocks. How many building blocks does Liam have in total?
LLemma 7B:
Reasoning: Liam has 40 sets of building blocks. Each set contains 16 blocks. Liam has 40 x 16 = <<40*16=640>>640 building blocks in total. ### Answer: 640
Expected answer: 640
Correct? Yes
Problem: After counting all the building blocks, Liam decides to give away 25 to his friend. How many building blocks does Liam have left after giving some to his friend?
LLemma 7B:
Reasoning: Liam has 640 - 25 = <<640-25=615>>615 building blocks left after giving some to his friend. ### Answer: 615
Expected answer: 615
Correct? Yes
Problem: What if Liam only had 38 sets of building blocks instead of 40? How many building blocks would he have in that case?
LLemma 7B:
Reasoning: Liam has 38 sets of building blocks. Each set contains 16 blocks. Liam has 38 x 16 = <<38*16=608>>608 building blocks in total. ### Answer: 608
Expected answer: 608
Correct? Yes
Problem: John has 24 pencils. Then he bought more such that the number of pencils he has now is equal to the number of what he had plus 7. How many pencils does John have now?
LLemma 7B:
Reasoning: John has 24+7 = <<24+7=31>>31 pencils now. ### Answer: 31
Expected answer: 31
Correct? Yes
Problem: After having a total of 31 pencils, John received a gift box with an additional 26 pencils. How many pencils does he have now?
LLemma 7B:
Reasoning: John has 31+26 = <<31+26=57>>57 pencils now. ### Answer: 57
Expected answer: 57
Correct? Yes
Problem: Suppose originally, John only had 2 pencils instead of 24 and then he bought more such that the number of pencils he has now is equal to the number of pencils he had plus 7. How many pencils does John have now?
LLemma 7B:
Reasoning: John has 2+7 = <<2+7=9>>9 pencils now. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: The snowfall in City A, which lasts for 50 days, is currently 36 days in. In City B, there is a unique snow pattern where for every 14 days, it snows 98 inches. The total snowfall in inches in City A is expected to be the product of the remaining snowfall days in City A and the average daily snowfall in inches in City B. However, the snow removal has been keeping up and has managed to remove an amount of snow equal to the average daily snowfall in City B. How much snow in inches is left in City A after the snow removal?
LLemma 7B:
Reasoning: The snowfall in City A is expected to be the product of the remaining snowfall days in City A and the average daily snowfall in City B. The snowfall in City A is expected to be 50-36 = <<50-36=14>>14 * 98 = <<14*98=1372>>1372 inches. The snow removal has been keeping up and has managed to remove an amount of snow equal to the average daily snowfall in City B. The average daily snowfall in City B is 14*98 = <<14*98=1372>>1372 inches. The snow removal has been keeping up and has managed to remove an amount of snow equal to the average daily snowfall in City B. The snow removal has been keeping up and has managed to remove an amount of snow equal to 1372/14 = <<1372/14=98>>98 inches. The snowfall in City A after the snow removal is 1372-98 = <<1372-98=1274>>1274 inches. ### Answer: 1274
Expected answer: 91
Correct? No
Problem: A pirate finds 28 rubies on the first day of his treasure hunt. On the second day, he finds another haul of rubies equal to the first day's find plus an additional 21 rubies. How many rubies does the pirate have in total after the second day?
LLemma 7B:
Reasoning: The pirate has 28 rubies on the first day. The pirate has 28+21 = <<28+21=49>>49 rubies on the second day. The pirate has 28+49 = <<28+49=77>>77 rubies altogether after the second day. ### Answer: 77
Expected answer: 77
Correct? Yes
Problem: After the second day, the pirate continues his adventure and stumbles upon a third treasure chest containing 29 additional rubies. Unfortunately, he drops and loses 36 rubies while escaping a group of rival pirates. How many rubies does he have in total now?
LLemma 7B:
Reasoning: The pirate has 77 rubies after the second day. The pirate loses 36 rubies. The pirate has 77-36 = <<77-36=41>>41 rubies now. The pirate has 41+29 = <<41+29=70>>70 rubies altogether. ### Answer: 70
Expected answer: 70
Correct? Yes
Problem: After reflecting on his loss, the pirate remembers that, on the first day, he actually only found 6 rubies, not 28. On the second day, he still found a number of rubies equal to what he found on the first day plus an additional 21 rubies. How many rubies did the pirate have in total after the second day, taking this into account?
LLemma 7B:
Reasoning: The pirate has 6 rubies on the first day. The pirate has 6+21 = <<6+21=27>>27 rubies on the second day. The pirate has 6+27 = <<6+27=33>>33 rubies altogether after the second day. ### Answer: 33
Expected answer: 33
Correct? Yes
Problem: There were 47 inches of snowfall in January and an additional 7 inches in early February. On February 15th, there was an additional 17 inches of snowfall. Then, 48 inches of snow fell in March. In April, we had an additional 31 inches of snowfall early on, but then 27 inches melted by the end of the month. How many inches of snow does this sum up to at the end of April?
LLemma 7B:
Reasoning: 47+7+17+48+31-27 = <<47+7+17+48+31-27=125>>125 inches of snow. ### Answer: 125
Expected answer: 123
Correct? No
Problem: At a fair, a vendor sold balloons. On a particularly busy day, he sold 46 balloons every hour for 11 hours straight. After the fair had closed, he ended up selling an additional 31 balloons to some stragglers. How many balloons did he sell in total that day?
LLemma 7B:
Reasoning: The vendor sold 46 balloons every hour for 11 hours straight. The vendor sold 46*11 = <<46*11=496>>496 balloons in total. After the fair had closed, he ended up selling an additional 31 balloons to some stragglers. The vendor sold 496+31 = <<496+31=527>>527 balloons in total. ### Answer: 527
Expected answer: 537
Correct? No
Problem: Mary and John decided to play a game of cards. In the first game, Mary scored 31 points and John scored 39 points. In the second game, their combined score was increased by 35 more points. During a special round, they could multiply their score by the difference between 27 and the number of cards left in the deck, which was 23. What was their final score in the special round?
LLemma 7B:
Reasoning: Mary's score in the special round is 31 * (27-23) = <<31*(27-23)=31*4=124>>124. John's score in the special round is 39 * (27-23) = <<39*(27-23)=39*4=156>>156. Their combined score in the special round is 124+156 = <<124+156=270>>270.
Expected answer: 420
Correct? No
Problem: A furniture company manufactured 17 upholstered seats and 18 wooden seats in the morning, and then produced another 29 in the afternoon. They repeated this production in the evening. Later on, they gave away 48 chairs to charity and used 7 chairs for quality testing. How many chairs are left after these operations?
LLemma 7B:
Reasoning: 17+18+29 = <<17+18+29=64>>64 chairs in the morning. 64+48 = <<64+48=112>>112 chairs in the morning and afternoon. 112+7 = <<112+7=119>>119 chairs in the morning, afternoon and evening. ### Answer: 119
Expected answer: 73
Correct? No
Problem: On a popular jungle gym, there are 46 monkey bars and 18 swinging ropes for the kids to play on. Nearby, a larger jungle gym was recently built to accommodate more kids. The new jungle gym contains 2 extra long zip lines and 20 regular zip lines, each requiring 31 special hooks to install. How many more hooks were used in the new jungle gym compared to the number of play components on the popular jungle gym?
LLemma 7B:
Reasoning: The new jungle gym contains 2 extra long zip lines and 20 regular zip lines, each requiring 31 special hooks to install. The new jungle gym contains 2*31+20*31 = <<2*31+20*31=152>>152 hooks. The popular jungle gym contains 46+18 = <<46+18=64>>64 hooks. The new jungle gym contains 152-64 = <<152-64=88>>88 more hooks than the number of play components on the popular jungle gym. ### Answer: 88
Expected answer: 618
Correct? No
Problem: John has saved $168 and he decides to divide it evenly between 21 days. After doing so, he then gets an additional $47 from his job. He then receives another amount of money which is the sum of $12 and $45. How much money does John have now?
LLemma 7B:
Reasoning: John has saved $168 and he decides to divide it evenly between 21 days. After doing so, he then gets an additional $47 from his job. John has saved $168/21 = <<168/21=8>>8 dollars per day. John has saved 8*21 = <<8*21=168>>168 dollars in total. John has saved 168+47 = <<168+47=215>>215 dollars in total. John has saved 215+45+12 = <<215+45+12=272>>272 dollars in total. ### Answer: 272
Expected answer: 112
Correct? No
Problem: A robot can stack 32 boxes in 1 minute. If it works non-stop for 4 minutes and then picks up 1 extra box, how many boxes will this robot have stacked in total?
LLemma 7B:
Reasoning: 32 boxes in 1 minute, 4 minutes = 32*4 = <<32*4=128>>128 boxes. 128 boxes + 1 extra box = <<128+1=129>>129 boxes. ### Answer: 129
Expected answer: 129
Correct? Yes
Problem: After stacking boxes for 4 minutes, the robot takes a break. When it comes back, it accidentally knocks over 21 of the boxes. How many boxes remain stacked after the robot knocks some over?
LLemma 7B:
Reasoning: 32 boxes in 1 minute, 4 minutes = 32*4 = <<32*4=128>>128 boxes. 128 boxes - 21 boxes = <<128-21=107>>107 boxes. ### Answer: 107
Expected answer: 108
Correct? No
Problem: Let's consider a different scenario: If, instead of picking up an extra single box after 4 minutes, the robot picked up an extra 11 boxes, how many boxes would this robot have stacked in total?
LLemma 7B:
Reasoning: 32 boxes in 1 minute, 4 minutes = 32*4 = <<32*4=128>>128 boxes. 128 boxes + 11 extra boxes = <<128+11=139>>139 boxes. ### Answer: 139
Expected answer: 139
Correct? Yes
Problem: A female tiger gave birth to 26 cubs in all her lifetime. Unfortunately, 17 of them did not survive the harsh conditions of the wild. However, after growing up, 6 of the surviving tigers moved to other territories. How many tigers remained in the female tiger's territory?
LLemma 7B:
Reasoning: 26-17 = <<26-17=9>>9 tigers survived. 6 of the surviving tigers moved to other territories. 9-6 = <<9-6=3>>3 tigers remained in the female tiger's territory. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: Suppose that originally the female tiger had given birth to 24 cubs instead of 26 in her lifetime, and the same number of 17 cubs had not survived the harsh conditions of the wild. If the same number of surviving tigers, 6, moved to other territories, how many tigers would have remained in the female tiger's territory?
LLemma 7B:
Reasoning: 24-17 = <<24-17=7>>7 tigers survived. 6 of the surviving tigers moved to other territories. 7-6 = <<7-6=1>>1 tigers remained in the female tiger's territory. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: A colony of penguins originally started with 44 members. After a while, 39 new penguins join the colony. Later, from that group, 16 penguins leave to start a new colony elsewhere. To supplant the loss, another group of 35 penguins join the colony. How many penguins are in the colony now?
LLemma 7B:
Reasoning: 44+39-16+35=<<44+39-16+35=100>>100 penguins are in the colony now. ### Answer: 100
Expected answer: 102
Correct? No
Problem: A helicopter travels 10 miles in one minute. If the helicopter increases its speed by 40 miles, plus another 20 miles, how far will the helicopter travel in 12 minutes at this increased speed?
LLemma 7B:
Reasoning: The helicopter travels 10 miles in one minute. The helicopter increases its speed by 40 miles, plus another 20 miles. The helicopter travels 40+20 = <<40+20=60>>60 miles in one minute. The helicopter travels 60*12 = <<60*12=720>>720 miles in 12 minutes. ### Answer: 720
Expected answer: 840
Correct? No
Problem: A new telescope has a magnification power of 26. To further explore the universe, another telescope is required that needs to be exactly 41 in magnification strength. How much more magnification is required for the new telescope compared to the existing one?
LLemma 7B:
Reasoning: The existing telescope has a magnification power of 26. The new telescope needs to have a magnification power of 26+41 = <<26+41=67>>67. The new telescope needs to have a magnification power of 67-26 = <<67-26=41>>41 more than the existing one. ### Answer: 41
Expected answer: 15
Correct? No
Problem: Sophie's parents give her $18 for every hour she works at the family business. On Monday, she worked 2 of those hours. Then she bought a $4 ice cream and another $4 coffee afterwards. She then added Monday's leftover amount to her pay for her next single hour of work. After that, she got an additional $45 as a bonus from her grandmother. How much money does Sophie have in total now?
LLemma 7B:
Reasoning: Sophie worked 2 hours for $18 x 2 = $36. She bought an ice cream and a coffee for $4 + $4 = $8. She had $36 - $8 = $28 left. She added $28 to her next hour's pay. She got an additional $45. ### Answer: $45 + $28 + $36 + $8 = $111
Expected answer: 91
Correct? No
Problem: A towel company initially produced 30 beach towels and 6 hand towels. They then gave away 7 towels for charity, which leaves a certain amount of towels. They then decided to produce 14 more towels to add to their current stock. On the other hand, they made a special batch of 13 towels for every towel left after their charity activity and deducted 19 towels from this special batch, calling it their premium collection. They then noted 20 towels were damaged and removed it from this premium collection. After this, they deducted 3 more towels from the remaining premium collection and combined it with the total they had after their second batch of production. How many towels does the company have now?
LLemma 7B:
Reasoning: 30+14 = <<30+14=44>>44 beach towels. 6+13 = <<6+13=19>>19 hand towels. 7 = <<7=7>>7 towels given away for charity. 13-19 = <<13-19=-6>>-6 towels in the premium collection. 20-3 = <<20-3=17>>17 towels damaged. -3+17 = <<-3+17=14>>14 towels in the premium collection. 44+19+14 = <<44+19+14=77>>77 towels in total. ### Answer: 77
Expected answer: 378
Correct? No
Problem: An extraterrestrial being from the planet Zorkon communicates that they have 50 special energy crystals. Then they explain that they'll get 20 more energy crystals in a few earth days. Additionally, their zorbcraft has a hidden compartment that contains 50 energy crystals and 6 extra lumino-gems, and they plan to add the upcoming energy crystals to this compartment as well. How many items (including both energy crystals and lumino-gems) would be in the zorbcraft's compartment at that time?
LLemma 7B:
Reasoning: 50+20 = <<50+20=70>>70 energy crystals in total. 50+20+50 = <<50+20+50=120>>120 items (including both energy crystals and lumino-gems) in total. ### Answer: 120
Expected answer: 126
Correct? No
Problem: A park contains 43 Velociraptors. Then, the park added another set of dinosaurs which numbered 972, but as it so happens, each of these sections contained 27 dinosaurs. This meant the actual number of new dinosaur types added was less. After calculating the new dinosaur types, they found out that the number of Velociraptors was more. They found the difference and multiplied this difference by 7, as each of the Velociraptors laid 7 new eggs that week. How many total eggs were laid by the Velociraptors that week?
LLemma 7B:
Reasoning: 972/27 = <<972/27=36>>36 43-36 = <<43-36=7>>7 7*7 = <<7*7=49>>49 ### Answer: 49
Expected answer: 49
Correct? Yes
Problem: Following up from the previous scenario, the park's wardens discovered that 46 of the eggs laid by the Velociraptors were not fertilized and not going to hatch. What is the number of Velociraptor eggs that are expected to successfully hatch?
LLemma 7B:
Reasoning: 49-46 = <<49-46=3>>3 ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: Continuing off the previous scenario, the wardens realized that they had made a mistake in their calculations. Each box actually contained 46 dinosaurs, not 27. If this was the case, how many total eggs are expected to be laid by the Velociraptors this week?
LLemma 7B:
Reasoning: 972/46 = <<972/46=21>>21 43-21 = <<43-21=22>>22 22*7 = <<22*7=154>>154 ### Answer: 154
Expected answer: 3521/23
Correct? No
Problem: There is a bowl containing 46 oranges. After Maria took 16 oranges from that bowl, how many oranges are left?
LLemma 7B:
Reasoning: 46-16=<<46-16=30>>30 oranges are left. ### Answer: 30
Expected answer: 30
Correct? Yes
Problem: Initially, Maria believed the bowl contained 46 oranges, but soon she realized her mistake and found out there were actually 49 in total. With this new information, after taking out 16 oranges, how many are left now in the bowl?
LLemma 7B:
Reasoning: 49-16=<<49-16=33>>33 oranges are left. ### Answer: 33
Expected answer: 33
Correct? Yes
Problem: A toothbrush factory produces 37 toothbrushes per minute at the start of its morning shift. A little later, it increases its production to rate to 308 toothbrushes every 7 minutes. If this increased rate of production continued for 16 minutes, how many toothbrushes were produced in total?
LLemma 7B:
Reasoning: 308/7 = <<308/7=44.2857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142
Expected answer: 741
Correct? No
Problem: A research laboratory has 39 telescopes initially. They added 7 more telescopes in the first month and then 17 more in the second month. Twelve more telescopes arrived in the third month, followed by further add up of 18 in the fourth month. In fifth month, they got exactly the same number of telescopes as they had initially i.e. 39 telescopes and in the sixth month, they received extra 19 telescopes. How many telescopes does the research laboratory have at the end of the sixth month.
LLemma 7B:
Reasoning: 39+7+17+12+18+19 = <<39+7+17+12+18+19=105>>105 telescopes in the sixth month. ### Answer: 105
Expected answer: 151
Correct? No
Problem: A table was initially set with 20 forks and 23 knives. Later in the day, 28 more sets of cutlery were added, each set containing 26 utensils. After counting, they found 7 more utensils than expected. However, there were 46 missing utensils, and they had to remove the original set of 20 forks and 23 knives. How many utensils were left on the table?
LLemma 7B:
Reasoning: 28*26 = <<28*26=784>>784 utensils were added. 784+7 = <<784+7=791>>791 utensils were left on the table. ### Answer: 791
Expected answer: 646
Correct? No
Problem: A magical unicorn has 50 red roses and 36 blue roses in her mystical garden. But then, a storm comes and 25 blue roses are destroyed. How many roses does the unicorn have left in her garden after the storm?
LLemma 7B:
Reasoning: The unicorn has 50 red roses and 36 blue roses in her garden. The unicorn has 36-25=<<36-25=11>>11 blue roses in her garden. The unicorn has 50+11=<<50+11=61>>61 roses in her garden after the storm. ### Answer: 61
Expected answer: 61
Correct? Yes
Problem: After the storm, the magical unicorn plants 41 more pink roses in her mystical garden. How many roses does the unicorn have in her garden now?
LLemma 7B:
Reasoning: The unicorn has 61 roses in her garden after the storm. The unicorn has 61+41=<<61+41=102>>102 roses in her garden now. ### Answer: 102
Expected answer: 102
Correct? Yes
Problem: Originally, the magical unicorn had 50 red roses and 36 blue roses in her mystical garden. But if she had initially had 50 red roses and 38 blue roses instead, and still lost 25 roses in the storm, how many roses would she have left in her garden after the storm?
LLemma 7B:
Reasoning: The unicorn has 50 red roses and 38 blue roses in her garden. The unicorn has 38-25=<<38-25=13>>13 blue roses in her garden. The unicorn has 50+13=<<50+13=63>>63 roses in her garden after the storm. ### Answer: 63
Expected answer: 63
Correct? Yes
Problem: A factory produces 100 bottles every hour. Half of the hourly production is sent to one warehouse. At another location, triple the amount sent to the first warehouse was marked for shipping, as well as an additional 29 bottles. By the end of the day, 28 more bottles were added to this shipment. How many bottles were marked for shipping in total?
LLemma 7B:
Reasoning: 100/2 = <<100/2=50>>50 bottles were sent to the first warehouse. 3(50) = <<3(50)=150>>150 bottles were sent to the second warehouse. 150 + 29 = <<150+29=179>>179 bottles were marked for shipping in the second warehouse. 179 + 28 = <<179+28=207>>207 bottles were marked for shipping in total. ### Answer: 207
Expected answer: 207
Correct? Yes
Problem: From the same factory scenario as before, reconsider the situation such that instead of adding 28 more bottles for shipment by the end of the day, they actually added 50 more bottles. How many bottles were marked for shipping in total now?
LLemma 7B:
Reasoning: 100/2 = <<100/2=50>>50 bottles were sent to the first warehouse. 3(50) = <<3(50)=150>>150 bottles were sent to the second warehouse. 150 + 29 = <<150+29=179>>179 bottles were marked for shipping in the second warehouse. 179 + 50 = <<179+50=229>>229 bottles were marked for shipping in total. ### Answer: 229
Expected answer: 229
Correct? Yes
Problem: The height of a window frame is calculated as the sum of 925 divided by 37 and 26 inches. The width of the window is 11 inches greater than the height. The circumference of the window is calculated as the sum of twice the width and the height. Finally the size of the glass for the window is calculated by subtracting 32 from the circumference. Find the size of the glass required for the window?
LLemma 7B:
Reasoning: 925/37 = <<925/37=25>>25 26+11 = <<26+11=37>>37 2*37 = <<2*37=74>>74 74+25 = <<74+25=99>>99 99-32 = <<99-32=67>>67 ### Answer: 67
Expected answer: 143
Correct? No
Problem: A pirate finds treasure with 135 gold coins. He divides these amongst his crew of 9. On another island, they find 323 emeralds which he divides amongst his crew of 19. He then multiplies these two shares to find out the total share per crew member. However, due to a miscount, he later realizes he has overcounted the share by 14. What is the corrected total share per crew member?
LLemma 7B:
Reasoning: 135/9 = <<135/9=15>>15 gold coins per crew member. 323/19 = <<323/19=17>>17 emeralds per crew member. 15 x 17 = <<15*17=255>>255 total share per crew member. 255 - 14 = <<255-14=241>>241 total share per crew member. ### Answer: 241
Expected answer: 241
Correct? Yes
Problem: A chocolatier has decided to make small chocolate bars that weigh 176 grams each. To get the right size, he divides each bar into 8 pieces, which means each piece weighs a certain number of grams. He then decides to make a new batch of chocolate using a special recipe. This recipe calls for a total of 38 grams of cocoa, but subtraction the weight of one piece from the 176g bars, plus an additional 26 grams of sugar. Simultaneously, the chocolatier decides to create another batch of chocolates that needs a total of 38 grams of cocoa and 18 grams of milk. What is the difference in the total weight of ingredients between the second and third batch of chocolates?
LLemma 7B:
Reasoning: The first batch of chocolate needs 176/8 = <<176/8=22>>22 grams of cocoa. The second batch of chocolate needs 38-22 = <<38-22=16>>16 grams of cocoa. The third batch of chocolate needs 38-22+18 = <<38-22+18=24>>24 grams of cocoa. The difference in the total weight of ingredients between the second and third batch of chocolates is 24-16 = <<24-16=8>>8 grams. ### Answer: 8
Expected answer: 14
Correct? No
Problem: Jenny has 9 red colored pencils in her art box. She also has some green colored pencils which amounts to 38 minus the number of red colored pencils she has. The total number of times she used all the pencils is the product of the number of green and red pencils she has. How many times did she use all her pencils?
LLemma 7B:
Reasoning: Jenny has 9 red colored pencils in her art box. She also has some green colored pencils which amounts to 38 minus the number of red colored pencils she has. The total number of times she used all the pencils is the product of the number of green and red pencils she has. Jenny has 38-9 = <<38-9=29>>29 green colored pencils. The total number of times she used all the pencils is the product of the number of green and red pencils she has. The total number of times she used all the pencils is 9*29 = <<9*29=261>>261. ### Answer: 261
Expected answer: 261
Correct? Yes
Problem: Following from the previous scenario, Jenny also used her blue colored pencils an equivalent number of times to the sum of 31 and 16. Now, the total number of times she used all her pencils is equivalent to the times she used her blue pencils added to the times she used her green and red pencils. How many times in total did she use all her pencils?
LLemma 7B:
Reasoning: Following from the previous scenario, Jenny also used her blue colored pencils an equivalent number of times to the sum of 31 and 16. Now, the total number of times she used all her pencils is equivalent to the times she used her blue pencils added to the times she used her green and red pencils. Jenny also used her blue colored pencils an equivalent number of times to the sum of 31 and 16. The total number of times she used all her pencils is equivalent to the times she used her blue pencils added to the times she used her green and red pencils. The total number of times she used all her pencils is 31+16 = <<31+16=47>>47 + 9*29 = <<47+9*29=261>>261. ### Answer: 261
Expected answer: 308
Correct? No
Problem: Now, instead of having only 9 red colored pencils, Jenny actually had 12 of them. She again has green colored pencils which, as before, total 38 minus the number of red colored pencils. The total number of times she used all the pencils is the product of the number of green and red pencils she has, just as in the previous case. Now, with this change, how many times did she use all her pencils?
LLemma 7B:
Reasoning: Now, instead of having only 9 red colored pencils, Jenny actually had 12 of them. She again has green colored pencils which, as before, total 38 minus the number of red colored pencils. The total number of times she used all the pencils is the product of the number of green and red pencils she has, just as in the previous case. Now, with this change, how many times did she use all her pencils? Jenny has 38-12 = <<38-12=26>>26 green colored pencils. The total number of times she used all the pencils is the product of the number of green and red pencils she has. The total number of times she used all the pencils is 12*26 = <<12*26=312>>312. ### Answer: 312
Expected answer: 312
Correct? Yes
Problem: A factory has just released a new robot model, where each model has 17 transistors and each transistor may have 16 separate connections. One of the newly manufactured robots by accident was made with one less connection than standard. However, to compensate for the mistake, an extra 41 connections were added elsewhere. What is the total number of connections in the strangely built robot?
LLemma 7B:
Reasoning: Each transistor has 16 connections. There are 17 transistors. Each transistor has 16*17 = <<16*17=272>>272 connections. The robot has 272 connections. One connection is missing. The robot has 272-1 = <<272-1=271>>271 connections. 41 connections are added. The robot has 271+41 = <<271+41=312>>312 connections. ### Answer: 312
Expected answer: 312
Correct? Yes
Problem: In the assembly line, another robot was produced similar to the first. However, this time instead of adding an additional 41 connections to compensate for the one lost, the production team decided to add only 13 additional connections. How many connections does this robot have now?
LLemma 7B:
Reasoning: Each transistor has 16 connections. There are 17 transistors. Each transistor has 16*17 = <<16*17=272>>272 connections. The robot has 272 connections. One connection is missing. The robot has 272-1 = <<272-1=271>>271 connections. 13 connections are added. The robot has 271+13 = <<271+13=284>>284 connections. ### Answer: 284
Expected answer: 284
Correct? Yes
Problem: At the local jungle gym, during busy hours, there are usually 24 kids climbing on each of the 31 different attractions. One rainy day, however, there were only 6 kids in total! If you subtract the number of kids on the rainy day from the usual busy day, and then further subtract 12 (the number of squirrels scampering around), how many kids will you have counted in total?
LLemma 7B:
Reasoning: 24-6 = <<24-6=18>>18 kids in total on the rainy day. 18-12 = <<18-12=6>>6 kids in total on the rainy day. 6+6 = <<6+6=12>>12 kids in total on the rainy day. ### Answer: 12
Expected answer: 726
Correct? No
Problem: There's this mystical ring that, after you perform a special chant, it will grant you powers based on a complex magic formula. If the first step of the magical formula is subtracting 5 from 23 and then multiplying by the number of magical chants you perform, which in this case is 6. After that, the result is multiplied by 7 and again by 1. However, for the final step, you subtract 48 from the result. If you follow these steps, how powerful will the ring's magic be?
LLemma 7B:
Reasoning: 23-5=<<23-5=18>>18. 18*6=<<18*6=108>>108. 108*7=<<108*7=756>>756. 756-48=<<756-48=698>>698. The ring's magic will be 698. ### Answer: 698
Expected answer: 708
Correct? No
Problem: A child can make 15 cookies in one hour. If the child spends 24 hours making the cookies, how many cookies are made in total?
LLemma 7B:
Reasoning: 24/15 = <<24/15=1.6>>1.6 cookies are made in one hour. 1.6*24 = <<1.6*24=38.4>>38.4 cookies are made in total. ### Answer: 38.4
Expected answer: 360
Correct? No
Problem: A silversmith has 16 silver rings in stock. He decided to create more rings and ended up with 28 silver and 24 gold rings. Then he subtracted from them the number of his original stock of silver rings. He traded some rings and ended up with 21 rings less than what he had after the creation stage. After that, for a special order, he created 26 times the number of rings he had left. In addition, he had made 7 platinum and 47 bronze rings for another order. How many rings does the silversmith have in total now?
LLemma 7B:
Reasoning: The silversmith has 16 silver rings in stock. He decided to create more rings and ended up with 28 silver and 24 gold rings. The silversmith has 16+28 = <<16+28=44>>44 silver rings in stock. He traded some rings and ended up with 21 rings less than what he had after the creation stage. The silversmith has 44-21 = <<44-21=23>>23 silver rings in stock. After that, for a special order, he created 26 times the number of rings he had left. The silversmith has 23*26 = <<23*26=578>>578 silver rings in stock. He had made 7 platinum and 47 bronze rings for another order. The silversmith has 578+7+47 = <<578+7+47=622>>622 rings in total now. ### Answer: 622
Expected answer: 444
Correct? No
Problem: A gardener plants flowers in several rows. Each row contains 40 flowers, but due to the rough soil conditions only half of them grow properly. In total, 19 rows are planted this way. Additionally, the gardener plants another small batch of 18 bulbs in one corner and 48 in another corner of the garden. What is the difference between the total number of flowers in the rows and the small corners?
LLemma 7B:
Reasoning: The gardener plants 19*40 = <<19*40=760>>760 flowers in the rows. The gardener plants 18+48 = <<18+48=66>>66 flowers in the corners. The difference between the total number of flowers in the rows and the small corners is 760-66 = <<760-66=694>>694. ### Answer: 694
Expected answer: 314
Correct? No
Problem: In the forest, a certain bird lays an average of 11 eggs per month. This month, the bird laid 4 times the average. Due to extreme weather conditions, the forest welcoming committee distributed an additional 40 eggs to various nests to support the bird population. How many eggs are there in the forest this month?
LLemma 7B:
Reasoning: The bird laid 4 times the average, so the bird laid 11*4 = <<11*4=44>>44 eggs this month. The forest welcoming committee distributed an additional 40 eggs to various nests, so there are 44+40 = <<44+40=84>>84 eggs in the forest this month. ### Answer: 84
Expected answer: 84
Correct? Yes
Problem: After examining the ground for fallen eggs, the forest rangers found more eggs which they distributed to the nests. They found 216 eggs in total, and divided them between 18 nests, before adding them to the initial number of eggs in the forest. How many eggs are there in the forest now?
LLemma 7B:
Reasoning: The forest rangers found 216 eggs in total, and divided them between 18 nests, so there are 216/18 = <<216/18=12>>12 eggs in each nest. There are 12 eggs in each nest, so there are 12*18 = <<12*18=216>>216 eggs in the forest now. ### Answer: 216
Expected answer: 96
Correct? No
Problem: You are mixing paints to create different shades. In one mixture, you have 41 drops of red paint. You then add 13 drops of white paint and the same amount of red paint as before. You take a sample of this mixture, which is 34 drops, and add that to a new mixture. Then take away the same amount of the 34 drop sample that you took originally. How many drops of paint are there in the new mixture?
LLemma 7B:
Reasoning: You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the mixture that you took originally. You took away 34 drops of the
Expected answer: 95
Correct? No
Problem: A small toy car factory made 32 toy cars on Monday, but only 27 on Tuesday. They multiply the difference by 49 to determine their weekly goal. The staff number in the factory is 12, and every staff member makes 9 toy cars a day. They add 45 to the total number of toy cars prepared by staff members. On Friday, they prepare 31 additional toy cars and add this to the weekly goal and staff prepared cars. How many toy cars in total were made in this process?
LLemma 7B:
Reasoning: 32-27=<<32-27=5>>5 cars were made on Monday and Tuesday. 5*49=<<5*49=245>>245 cars were made in the first two days. 12*9=<<12*9=108>>108 cars were made by staff members. 108+45=<<108+45=153>>153 cars were made by staff members. 245+153=<<245+153=398>>398 cars were made in total. 31+398=<<31+398=429>>429 cars were made in total. ### Answer: 429
Expected answer: 429
Correct? Yes
Problem: After their first week, the small toy car factory decided to change their production strategy. The staff now produce only 6 toy cars each day instead of 9. They still add 45 to the total number of toy cars prepared by the staff members. Keeping their weekly goal constant and their Friday production same as last week, how many toy cars in total were made this week?
LLemma 7B:
Reasoning: 12*6=<<12*6=72>>72 cars were made by staff members. 72+45=<<72+45=117>>117 cars were made by staff members. 245+117=<<245+117=362>>362 cars were made in total. ### Answer: 362
Expected answer: 393
Correct? No
Problem: A farmer harvested 45 carrots in one day from his farm. He noticed that for every carrot over 44 per day, he can earn 29 dollars. How much would the farmer have earned if this continued?
LLemma 7B:
Reasoning: 45-44=1, so the farmer would have earned 1*29=<<1*29=29>>29 dollars.
Expected answer: 29
Correct? Yes
Problem: Continuing from our previous scenario, let's suppose that the market rate for extra carrots has now changed. Now, for every carrot that the farmer harvests over 44 per day, he can earn 41 dollars instead of 29. How much would his new earnings be if he still harvested 45 carrots in one day?
LLemma 7B:
Reasoning: 45-44=1, so the farmer would have earned 1*41=<<1*41=41>>41 dollars.
Expected answer: 41
Correct? No
Problem: In a sock factory, a worker started with 26 pairs of socks. Unfortunately, 50 pairs got torn and had to be discarded. The worker was able to produce 36 more pairs to replace them. Each pair of socks is sold for $37. After earning from the sock sales, the worker found a $13 bill on the floor. How much money does the worker have in total?
LLemma 7B:
Reasoning: The worker started with 26 pairs of socks. The worker produced 36 pairs of socks. The worker discarded 50 pairs of socks. The worker replaced 50 pairs of socks. The worker earned $37 from each pair of socks. The worker found a$13 bill on the floor. The worker has 26+36-50+50 = <<26+36-50+50=42>>42 pairs of socks. The worker earned $37 from each pair of socks. The worker earned$37*42 = <<37*42=1546>>1546 from the sock sales. The worker found a $13 bill on the floor. The worker has$13+1546 = <<13+1546=1559>>1559 in total. ### Answer: 1559
Expected answer: 457
Correct? No
Problem: A jewelry maker starts with 38 beads to make a bracelet. However, the number of beads was not right, so she removed a number of beads equal to dividing 560 by 40. However, she thinks her initial count may have been wrong and she may have actually started with 15 more beads than she initially thought. After adjusting the count and removing some beads, she adds one more bead, and then 39 more. How many beads does the jewelry maker have now?
LLemma 7B:
Reasoning: The jewelry maker started with 38+15 = <<38+15=53>>53 beads. She removed 560/40 = <<560/40=14>>14 beads. She has 53-14+39 = <<53-14+39=62>>62 beads now. ### Answer: 62
Expected answer: 79
Correct? No
Problem: In an aquarium, there are initially 30 sharks. But then, 23 of them are moved to a different area of the aquarium. A few days later, an additional 14 sharks are brought in, followed by 3 more being moved to the other area. The number of sharks is then multiplied by 43 for a research study. What is the final figure for the research?
LLemma 7B:
Reasoning: 30-23=<<30-23=7>>7 sharks are left in the first area. 14+7=<<14+7=21>>21 sharks are brought in. 21+3=<<21+3=24>>24 sharks are moved to the other area. 24*43=<<24*43=1048>>1048 sharks are in the aquarium. ### Answer: 1048
Expected answer: 774
Correct? No
Problem: In a puzzle game, each round you collect 150 points which are then divided by 10 to determine the number of gold coins you earn. After two rounds, you earned some gold coins. In the third round, you collected 28 emeralds and 14 sapphires but you had to sacrifice the same amount of gold coins as you earned in the first two rounds. How many emeralds and sapphires did you have left after the third round?
LLemma 7B:
Reasoning: 150/10 = <<150/10=15>>15 gold coins. You earned 15+15 = <<15+15=30>>30 gold coins in the third round. You collected 28-30 = <<28-30=-2>>-2 emeralds. You collected 14-30 = <<14-30=-16>>-16 sapphires. You had 28+14 = <<28+14=42>>42 emeralds and 14-30 = <<14-30=-16>>-16 sapphires left after the third round. ### Answer: 42 emeralds and -16 sapphires
Expected answer: 12
Correct? No
Problem: A train gets to carry 15 containers every day. On Fridays, the train gets to carry an extra 12 containers than usual. The following Monday, the train carries an additional 26 containers. However, on Wednesday, the load decreases by 32 containers. For a particular trip, the train is coupled with 2 more containers, and after it makes one stop, an additional 48 containers are loaded onto the train. How many containers is the train carrying at this point?
LLemma 7B:
Reasoning: The train carries 15+12 = <<15+12=27>>27 containers on Fridays. The train carries 27+26 = <<27+26=53>>53 containers on Monday. The train carries 53-32 = <<53-32=21>>21 containers on Wednesday. The train carries 21+2 = <<21+2=23>>23 containers at this point. ### Answer: 23
Expected answer: 71
Correct? No
Problem: A lemon farmer had harvested 39 lemons in the morning and 33 in the afternoon. Unfortunately, 12 lemons got spoiled by the end of the day. The next day, the farmer used 23 lemons to make lemonade. How many lemons did he have left after making the lemonade?
LLemma 7B:
Reasoning: 39+33 = <<39+33=72>>72 lemons in total. 12 lemons got spoiled. 23 lemons were used to make lemonade. 72-12 = <<72-12=60>>60 lemons left after making the lemonade. ### Answer: 60
Expected answer: 37
Correct? No
Problem: A bee lands on 33 flowers in an hour. If the bee is collecting 15 nectar droplets from each flower, how many nectar droplets does it have after an hour if it started with 26 nectar droplets?
LLemma 7B:
Reasoning: The bee has 26+15*33 = <<26+15*33=711>>711 nectar droplets after an hour. ### Answer: 711
Expected answer: 521
Correct? No
Problem: A company produces 36 marshmallow packs in an hour. To meet a sudden increase in demand, they decide to increase their production. They add an extra 350 marshmallows to their daily production, which is distributed evenly over 7 hours of their working day. Additionally, they add another 6 marshmallow packs to their hourly production. But, due to some limitations, they end up producing 43 less packs per hour than their goal. How many marshmallow packs per hour are they now producing?
LLemma 7B:
Reasoning: 36+350/7+6 = <<36+350/7+6=43>>43 packs per hour. ### Answer: 43
Expected answer: 49
Correct? No
Problem: A wizard casts a spell that produces 882 glimmering lights over a span of 21 days. That's an average of how many lights a day? In comparison, another wizard casts a spell that produces 460 glowing orbs in 20 days. What is the daily average here? Now, let's assume that the difference in their daily averages times the second wizard's daily average is a magical constant represented by 'n'. Can you find out what 'n' is?
LLemma 7B:
Reasoning: The first wizard's average is 882/21 = <<882/21=42>>42 glimmering lights per day. The second wizard's average is 460/20 = <<460/20=23>>23 glowing orbs per day. The difference in their daily averages is 42-23 = <<42-23=19>>19. The second wizard's daily average is 23. The magical constant 'n' is 19*23 = <<19*23=437>>437. ### Answer: 437
Expected answer: 437
Correct? Yes
Problem: A candy factory has 20 different flavors of candy. Their bestselling flavors are the Sugar Rush, which has 14 different base ingredients, the Candy Twirl, which has 25 base ingredients, and the Jawbreaker, which has 16 base ingredients. They create a Special Mix which combines all of these bestsellers and adds 43 extra goodies, including sprinkles and marshmallows. To create a limited edition candy, they take a piece of the Special Mix, add 7 uniquely crafted sweets, then combine this with one of each flavor from their 20 different flavored candies (excluding 19 of them so it's not too overwhelming). They then top it all off by removing 3 experimental sweets that didn't taste quite right. What is the count of various components used in creating this limited edition candy?
LLemma 7B:
Reasoning: The Special Mix has 14+25+16+43=<<14+25+16+43=94>>94 base ingredients. The limited edition candy has 94+7=<<94+7=101>>101 base ingredients. The limited edition candy has 20-19=<<20-19=1>>1 flavor from the 20 different flavored candies. The limited edition candy has 101+1=<<101+1=102>>102 components. ### Answer: 102
Expected answer: 103
Correct? No
Problem: In a special operation, 32 police officers were assigned to the north district, 33 were sent to the south district, and 29 officers were held for the downtown district. After the operation, 21 officers from the downtown district were transferred elsewhere. A week later, on a different assignment, 39 officers were added to the remaining duty force. Later that day, another 14 officers joined the force. How many officers were on duty by the end of the day?
LLemma 7B:
Reasoning: 32+33+29 = <<32+33+29=94>>94 officers were assigned to the north, south, and downtown districts. 21 officers from the downtown district were transferred elsewhere. 94-21 = <<94-21=73>>73 officers were assigned to the north and south districts. 39 officers were added to the remaining duty force. 73+39 = <<73+39=112>>112 officers were on duty by the end of the day. ### Answer: 112
Expected answer: 126
Correct? No
Problem: The distance between the Moon and the Earth changes throughout the month. On one particular day, the distance was 36 million kilometers but decreased by 19 million kilometers later in the month. Then it increased again by 11 million kilometers. If that distance, in millions of kilometers, times 19 minus 27 equals to a certain value, what is the value?
LLemma 7B:
Reasoning: The distance was 36 million kilometers but decreased by 19 million kilometers later in the month. Then it increased again by 11 million kilometers. The distance was 36-19+11 = <<36-19+11=28>>28 million kilometers later in the month. The distance, in millions of kilometers, times 19 minus 27 equals to a certain value. 28 times 19 minus 27 = <<28*19-27=499>>499. ### Answer: 499
Expected answer: 505
Correct? No
Problem: A tiger has an average step length of 9 meters. If a tiger took two steps and then leaped 44 meters, it would have covered a certain distance. Another tiger covered a distance combining 23 meters with a leap and a 46-meter run but then retraces the distance equal to the first tiger's steps and the leap. How much distance did the second tiger cover finally?
LLemma 7B:
Reasoning: The first tiger covered 9+44=<<9+44=53>>53 meters. The second tiger covered 23+46-53=<<23+46-53=14>>14 meters. ### Answer: 14
Expected answer: 7
Correct? No
Problem: A toothpaste factory produces 26 tubes of toothpaste every hour. On Sundays, they work for 7 hours and produce additional 8 tubes of toothpaste. So, in one Sunday, they produce ((26 * 7) + 8) tubes. The following Monday, they continue their production by adding another 31 tubes to their Sunday's total. In parallel, in the packaging department, they have 50 empty boxes. They use 19 of them for another department, leaving them with (50 - 19) boxes. The total number of toothpaste tubes ready is calculated by adding the packaged boxes number with Monday's production. On Tuesday, they produced an additional 48 tubes of toothpaste. What is the total number of produced toothpaste tubes until Tuesday, inclusive?
LLemma 7B:
Reasoning: The factory produces 26 tubes of toothpaste every hour. On Sundays, they work for 7 hours and produce additional 8 tubes of toothpaste. So, in one Sunday, they produce ((26 * 7) + 8) = <<(26 * 7) + 8=194>>194 tubes. The following Monday, they continue their production by adding another 31 tubes to their Sunday's total. In parallel, in the packaging department, they have 50 empty boxes. They use 19 of them for another department, leaving them with (50 - 19) = <<50-19=31>>31 boxes. The total number of toothpaste tubes ready is calculated by adding the packaged boxes number with Monday's production. On Tuesday, they produced an additional 48 tubes of toothpaste. What is the total number of produced toothpaste tubes until Tuesday, inclusive? ### Answer: <<194+31+48=273>>273
Expected answer: 300
Correct? No
Problem: In a magical forest, a unicorn has 42 rainbow pebbles. A day later, it finds 26 more. It also has a stash of 44 dreamberries. Later on, the unicorn gathers 33 more rainbow pebbles and adds them with its stash of dreamberries. Finally, the unicorn finds 40 magical dandelions and adds them to his stash, but oh no, he loses 14! How many items does the unicorn have altogether after these events?
LLemma 7B:
Reasoning: The unicorn has 42+26 = <<42+26=68>>68 rainbow pebbles. The unicorn has 44+33 = <<44+33=77>>77 dreamberries. The unicorn has 40-14 = <<40-14=26>>26 magical dandelions. The unicorn has 68+77+26 = <<68+77+26=171>>171 items altogether after these events. ### Answer: 171
Expected answer: 171
Correct? Yes
Problem: In the previous magical scenario, consider that instead of initially having 42 rainbow pebbles, the unicorn started with just 40. It still finds 26 more the following day. Maintaining his stash of 44 dreamberries, the unicorn still accumulates 33 more rainbow pebbles and adds them to the dreamberries. Once again, the unicorn ventures to obtain an additional 40 magical dandelions, but unfortunately, he loses 14. After these events, how many items does the unicorn have?
LLemma 7B:
Reasoning: The unicorn has 40+26 = <<40+26=66>>66 rainbow pebbles. The unicorn has 44+33 = <<44+33=77>>77 dreamberries. The unicorn has 40-14 = <<40-14=26>>26 magical dandelions. The unicorn has 66+77+26 = <<66+77+26=179>>179 items altogether after these events. ### Answer: 179
Expected answer: 169
Correct? No
Problem: A pirate captain has a treasure chest containing 23 types of jewels. Each type has 28 jewels. Tired from his adventure, he mistakenly lost 40 jewels on his way back to his ship. The next day, he luckily found 16 jewels from a deserted island. How many jewels does he have now in his treasure chest?
LLemma 7B:
Reasoning: The pirate captain has 23 types of jewels, each type has 28 jewels. The pirate captain lost 40 jewels. The pirate captain found 16 jewels. The pirate captain has 23*28+16 = <<23*28+16=712>>712 jewels in his treasure chest. ### Answer: 712
Expected answer: 620
Correct? No
Problem: In a distant galaxy, a star shines brightly with 38 neutrons. It then gains 4 more. This total number gets multiplied by 18 to create a sensational energy output. During an explosion, it additionally releases the energy equivalent to 6 plus 25. How much total energy does the star emit?
LLemma 7B:
Reasoning: 38+4=<<38+4=42>>42 neutrons. 42*18=<<42*18=756>>756 neutrons. 756+6+25=<<756+6+25=787>>787 neutrons. ### Answer: 787
Expected answer: 787
Correct? Yes
Problem: Now consider instead that the star had only 38 neutrons initially, and then it gains only 4 more. This total number is then multiplied by 10, for a lower energy output. During an explosion, it still releases additional energy equivalent to 6 plus 25. Now, how much total energy does the star emit?
LLemma 7B:
Reasoning: 38+4=<<38+4=42>>42 neutrons. 42*10=<<42*10=420>>420 neutrons. 420+6+25=<<420+6+25=441>>441 neutrons. ### Answer: 441
Expected answer: 451
Correct? No
Problem: A gardener planted 13 Sunflowers in his garden. The next day, he worked out that he needed to plant more, with the number being calculated as 37 times the number of petals on one sunflower, which is 5, minus 18. On the following day, he subtracted 10 flowers from that number, then added his initial sunflowers back, creating a new total. Meanwhile, he figured out that in a special part of his garden, ideal for 92 orchids he had, each spot can hold 23, so he calculated how many spots needed. By the end of the week, he summed up the total number of plants he worked on and the spots needed, then he doubled that total for no particular reason. How many did he end up with?
LLemma 7B:
Reasoning: The gardener planted 13 Sunflowers in his garden. The next day, he worked out that he needed to plant more, with the number being calculated as 37 times the number of petals on one sunflower, which is 5, minus 18. On the following day, he subtracted 10 flowers from that number, then added his initial sunflowers back, creating a new total. Meanwhile, he figured out that in a special part of his garden, ideal for 92 orchids he had, each spot can hold 23, so he calculated how many spots needed. By the end of the week, he summed up the total number of plants he worked on and the spots needed, then he doubled that total for no particular reason. The gardener planted 13 Sunflowers in his garden. The next day, he worked out that he needed to plant more, with the number being calculated as 37 times the number of petals on one sunflower, which is 5, minus 18. On the following day, he subtracted 10 flowers from that number, then added his initial sunflowers back, creating a new total. Meanwhile, he figured out that in a special part of his garden, ideal for 92 orchids he had, each spot can hold 23, so he calculated how many spots needed. By the end of the week, he summed up the total number of plants he worked on and the spots needed, then he doubled that total for no particular reason. The gardener planted 13 Sunflowers in his garden. The next day, he worked out that he needed to plant more, with the number being calculated as 37 times the number of petals on one sunflower, which is 5, minus 18. On the following day, he subtracted 10 flowers from that number, then added his initial sunflowers back, creating a new total. Meanwhile, he figured out that in a special part of his garden, ideal for 92 orchids he had, each spot can hold 23, so he calculated how many spots needed. By the end of the week, he summed up the total number of plants he worked on and the spots needed, then he doubled that total for no particular reason. ### Answer: 13+37*5-18-10+13+2*13*92/23 = <<13+37*5-18-10+13+2*13*92/23=102>>102
Expected answer: 348
Correct? No
Problem: In a particular pond, there are 18 frogs. Each frog can catch 21 flies in a day. How many flies do all the frogs catch in a day?
LLemma 7B:
Reasoning: Each frog can catch 21 flies in a day. There are 18 frogs. Each frog can catch 21 flies in a day. 18 frogs can catch 18*21 = <<18*21=378>>378 flies in a day. ### Answer: 378
Expected answer: 378
Correct? Yes
Problem: Using the initial information from the previous problem where 18 frogs catch 21 flies each in a day (resulting in a total of 'j' flies), imagine the scenario where a particularly voracious toad comes by the next day and catches an additional 39 flies. How many flies have been caught in total over the two days then?
LLemma 7B:
Reasoning: 18 frogs can catch 18*21 = <<18*21=378>>378 flies in a day. A toad can catch 39 flies in a day. 18 frogs and a toad can catch 378+39 = <<378+39=417>>417 flies in a day. ### Answer: 417
Expected answer: 417
Correct? Yes
Problem: Using the information from the previous problem, now consider if the number of frogs in the pond increased to 46. If each frog can still catch 21 flies in a day, how many flies do all the frogs catch in a day now?
LLemma 7B:
Reasoning: Each frog can catch 21 flies in a day. There are 46 frogs. Each frog can catch 21 flies in a day. 46 frogs can catch 46*21 = <<46*21=996>>996 flies in a day. ### Answer: 996
Expected answer: 966
Correct? No
Problem: A community center has 21 chairs in their main meeting room. They are supplemented with an additional 22 chairs from the storage room for a large event. How many chairs are in the meeting room now for the event?
LLemma 7B:
Reasoning: 21+22 = <<21+22=43>>43 chairs are in the meeting room now for the event. ### Answer: 43
Expected answer: 43
Correct? Yes
Problem: Now, instead of starting with 21 chairs in the main meeting room at the community center, suppose they had only 12 chairs. They still supplement with an additional 22 chairs from the storage room for the event. How many chairs are in the meeting room now for the event?
LLemma 7B:
Reasoning: 12+22 = <<12+22=34>>34 chairs are in the meeting room now for the event. ### Answer: 34
Expected answer: 34
Correct? Yes
Problem: There are 14 elephants in a conservation park. This year, 11 new baby elephants were born, and the park received 25 more elephants from various rescues. How many elephants are there in the park now?
LLemma 7B:
Reasoning: 14+11 = <<14+11=25>>25 elephants are in the park now. ### Answer: 25
Expected answer: 50
Correct? No
Problem: A treasure chest contains 23 emeralds and 30 diamonds. Unfortunately, 39 of the stones are fake and had to be removed. The number of real stones left (y) is multiplied by itself and then 37 is subtracted to get a number (g) that represents the value of the chest. In another chest, there were 540 rubies which have been equally shared amongst 45 pirates, and then 3 are lost in the division. The remaining number (x) is subtracted from the value of the first chest (g) to get a new value. In the same chest as the rubies, there were also 23 pearls and 11 zirconias, but 9 pieces had to be discarded due to damage. The count (s) is subtracted from the new value to determine the value (m) of the remaining treasure. What is the value (m) of the remaining treasure?
LLemma 7B:
Reasoning: The number of real stones left (y) is multiplied by itself and then 37 is subtracted to get a number (g) that represents the value of the chest. In another chest, there were 540 rubies which have been equally shared amongst 45 pirates, and then 3 are lost in the division. The remaining number (x) is subtracted from the value of the first chest (g) to get a new value. In the same chest as the rubies, there were also 23 pearls and 11 zirconias, but 9 pieces had to be discarded due to damage. The count (s) is subtracted from the new value to determine the value (m) of the remaining treasure. What is the value (m) of the remaining treasure? ### Answer: 100
Expected answer: 125
Correct? No
Problem: There are 6 confirmed UFO sightings in a small city. After a viral event, sightings increase by a daily average obtained by dividing an additional 504 sightings over the next 14 days. Subtract the initial confirmed sightings from this new daily average. Then, multiply it by the result of taking the maximum number of sightings recorded in one day (9) and subtracting the number you would typically dismiss as random (3). How many sightings are there according to this calculation?
LLemma 7B:
Reasoning: 504/14 = <<504/14=35.714285714285714>>35.714285714285714 9-3 = <<9-3=6>>6 35.714285714285714*6 = <<35.714285714285714*6=214.4285714285714>>214.4285714285714 214.4285714285714-35.714285714285714 = <<214.4285714285714-35.714285714285714=158.71428571428571>>158.71428571428571 There are 158.71428571428571 sightings according to this calculation. ### Answer: 158.71428571428571
Expected answer: 180
Correct? No
Problem: A blanket maker has 5 square patches of blue material. She wants to make an intricate design that requires her to subtract this from 26*25 square patches of red material. Then, she wants to compare this number to her stock of green material, which is 48*21 square patches, by subtracting the number of red patches from the green patches. How many patches is the difference between her stock of green patches and the red patches needed for the design?
LLemma 7B:
Reasoning: 26*25-5=<<26*25-5=655>>655 red patches 48*21-655=<<48*21-655=1119>>1119 green patches ### Answer: 1119
Expected answer: 363
Correct? No
Problem: Lemonville is a small village known for its lemon trees. One year, the villagers picked 38 baskets of lemons from the trees near the river and 24 baskets from the ones near an old well. From the trees near the school, they picked 16 more baskets and from the trees near the mayor's house, they picked 13 more baskets. They realized that their lemons were heavier and they could extract more juice so they decided to get 35 baskets to make lemonade. If each basket of lemons could produce 14 bottles of lemonade, how many bottles of lemonade would they get from the remaining baskets?
LLemma 7B:
Reasoning: Lemonville has 38+24 = <<38+24=62>>62 baskets of lemons. They picked 16+13 = <<16+13=29>>29 more baskets of lemons. They have 62+29 = <<62+29=91>>91 baskets of lemons. They could make 91*14 = <<91*14=1274>>1274 bottles of lemonade. They have 35 baskets of lemons left. They could make 35*14 = <<35*14=490>>490 bottles of lemonade. ### Answer: 490
Expected answer: 784
Correct? No
Problem: Amy found 21 seashells in the sandbox, but gave 15 of them to her sister. The next day, she found another group of seashells that was 13 more than the amount she had remaining from the previous day. She also found an additional 49. Being a generous sister, she gave 23 to her brother and 27 to her cousin. How many seashells does Amy have left now?
LLemma 7B:
Reasoning: Amy has <<21-15=6>>6 seashells left from the first day. The next day, Amy had <<6+13=19>>19 seashells left. She also found 49 more seashells. Amy has <<19+49=68>>68 seashells left. Amy gave 23 to her brother and 27 to her cousin. Amy has <<68-23-27=28>>28 seashells left. ### Answer: 28
Expected answer: 18
Correct? No
Problem: Princess Anna was playing a numbers game in the kingdom. In the first round of the game, she thought of two numbers: 7 and 10. She added them together. In the second round, she thought of a number 29. She subtracted the result from the first round and then subtracted 8 more from that result. In the final round, Princess Anna added the results from the first and second round and then multiplied the sum by the result from the second round. What was the final result of the Princess's game?
LLemma 7B:
Reasoning: Princess Anna added 7 and 10 together. 7+10 = <<7+10=17>>17 In the second round, she subtracted 17-29 = <<17-29=-12>>-12 from the result from the first round. In the final round, Princess Anna added the results from the first and second round. 17+(-12) = <<17-12=5>>5 In the final round, Princess Anna multiplied the sum from the first and second round by the result from the second round. 5*(-12) = <<5*-12=-60>>-60 ### Answer: -60
Expected answer: 84
Correct? No
Problem: Ellen had 15 dollars. Meanwhile, Sam had 48 dollars but then he gave some money to Ellen. After Sam gave his money to Ellen, he had as much money as Ellen originally had. Then, Sam got 24 dollars from his brother. How much money does Sam have now?
LLemma 7B:
Reasoning: Sam gave 15 dollars to Ellen. Sam has 15+48 = <<15+48=63>>63 dollars now. ### Answer: 63
Expected answer: 57
Correct? No
Problem: A group of scientists began studying a river and found that it was 33 kilometers long. To be thorough, they decided to also study a connected tributary, which added 19 kilometers to the total length of waterway they needed to investigate. However, they later realized that a 30-kilometer portion of the river was inaccessible and couldn't be studied. How many kilometers of the river were they able to study?
LLemma 7B:
Reasoning: The scientists studied 33+19 = <<33+19=52>>52 kilometers of the river. They were not able to study 30 kilometers of the river. ### Answer: 52-30=22
Expected answer: 22
Correct? No
Problem: A photographer took 34 shots at a wedding but decided to remove 19 of them because they were out of focus. The next day he took an additional 21 shots at a different event. Then, he decided to add to this collection, 23 more shots he took on a third event. Similarly, another photographer took 880 shots at a large event and decided to select every 40th shot for his collection. What is the total number of shots in their collections combined?
LLemma 7B:
Reasoning: The first photographer took 34-19 = <<34-19=15>>15 shots in the second event. The second photographer took 880/40 = <<880/40=22>>22 shots in the third event. The total number of shots in their collections combined is 15+22 = <<15+22=37>>37. ### Answer: 37
Expected answer: 81
Correct? No
Problem: A pirate found a treasure chest containing 3 times the amount of his previous loot of 13 gold coins. After spending 22 of these coins for the crew's rum, he discovered another loot of 47 gold coins. How many gold coins does the pirate have now?
LLemma 7B:
Reasoning: The pirate has 3 times the amount of his previous loot of 13 gold coins. The pirate has 3*13 = <<3*13=39>>39 gold coins. The pirate spends 22 of these coins for the crew's rum. The pirate has 39-22 = <<39-22=17>>17 gold coins left. The pirate discovers another loot of 47 gold coins. The pirate has 17+47 = <<17+47=64>>64 gold coins. ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: Recall the pirate's adventure. But let's say, originally the treasure chest he found had 42 times the amount of his previous loot of 13 gold coins instead of 3 times. After spending 22 of these coins for the crew's rum, and discovering another loot of 47 gold coins, how many gold coins does the pirate have now?
LLemma 7B:
Reasoning: The pirate has 42 times the amount of his previous loot of 13 gold coins. The pirate has 42*13 = <<42*13=546>>546 gold coins. The pirate spends 22 of these coins for the crew's rum. The pirate has 546-22 = <<546-22=524>>524 gold coins left. The pirate discovers another loot of 47 gold coins. The pirate has 524+47 = <<524+47=571>>571 gold coins. ### Answer: 571
Expected answer: 571
Correct? Yes
Problem: A hiker traveled an average of 900 miles in 36 days. One day, he increases his daily average to 16 miles. This reduces his remaining journey by a certain number of days. After that, he finds a shortcut which saves him an additional 4 days, and a friendly traveller advised him of another path that will save him 40 days. If he also saves 21 days due to good weather, how many days in total did he save on his journey?
LLemma 7B:
Reasoning: The hiker saved 40 days on his journey. The hiker saved 21 days due to good weather. The hiker saved 4 days on a shortcut. The hiker saved 4 days on a friendly traveller's advice. The hiker saved 16 miles on one day. The hiker's remaining journey is 900-16 = <<900-16=884>>884 miles. The hiker's remaining journey is 884/35 = <<884/35=25.14>>25.14 days. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved 25.14 days on his remaining journey. The hiker saved
Expected answer: 74
Correct? No
Problem: A pillow manufacturing company produces 33 pillows every hour in round the clock operations. In a day, they realized they had incurred a loss of 43 pillows due to machine errors. What is the total number of pillows the company manufactured in a day after accounting for the losses?
LLemma 7B:
Reasoning: 24/1 = <<24/1=24>>24 pillows in a day. 24-43 = <<24-43=-19>>-19 pillows in a day. 24-19 = <<24-19=5>>5 pillows in a day.
Expected answer: 749
Correct? No
Problem: In a Castle, there are 5 rooms in one wing. The other wing has 216 bricks. Nowadays, there's a strange rule: one room is equivalent to 36 bricks. Following this, if we have to calculate the sum of total rooms from both wings by converting the number of bricks to the number of rooms. How many rooms would be considered in total according to this rule?
LLemma 7B:
Reasoning: 216/36 = <<216/36=6>>6 rooms. Therefore, 5+6 = <<5+6=11>>11 rooms in total. ### Answer: 11
Expected answer: 11
Correct? Yes
Problem: In the same castle, there is a hidden underground passage which has 9 rooms. After discovering these, if you count all the rooms: the original five, the ones found in the second wing when converting the number of bricks to rooms, and these new rooms from the underground passage together. How many rooms are there in the castle in total?
LLemma 7B:
Reasoning: 9+11 = <<9+11=20>>20 rooms. ### Answer: 20
Expected answer: 20
Correct? Yes
Problem: Suppose when we originally counted, we made a mistake and there were actually 35 rooms in the first wing of the castle, not 5. If we still convert the bricks in the second wing into the equivalent number of rooms and add them to this new total, how many rooms are now in the castle excluding the underground passage rooms?
LLemma 7B:
Reasoning: 216/36 = <<216/36=6>>6 rooms. Therefore, 35+6 = <<35+6=41>>41 rooms in total. ### Answer: 41
Expected answer: 41
Correct? Yes
Problem: A player scored 15 goals each over 31 matches. However, due to an error, 43 of the goals were discounted. Later, the error was rectified and 40 goals were awarded back to the player. Unfortunately, after a reevaluation of the matches, 26 of those goals were deducted from the player again. How many goals does the player end up with?
LLemma 7B:
Reasoning: The player scored 15*31 = <<15*31=465>>465 goals in total. 465-43 = <<465-43=422>>422 goals were scored after the error. 422+40 = <<422+40=462>>462 goals were scored after the error and the correction. 462-26 = <<462-26=436>>436 goals were scored after the error, the correction, and the reevaluation. ### Answer: 436
Expected answer: 436
Correct? Yes
Problem: The player from the previous question, with his total number of goals determined, got involved in a contest where the goal tally he had counted as points with a multiplier attached. If that multiplier was 1, how many points did he get in the contest?
LLemma 7B:
Reasoning: The player got 436*1 = <<436*1=436>>436 points in the contest. ### Answer: 436
Expected answer: 436
Correct? Yes
Problem: An aquarium has 9 tanks, each with 49 fish. However, 5 of the fish in one tank are relocated. What is the new total number of fish in the aquarium?
LLemma 7B:
Reasoning: 9 tanks * 49 fish = <<9*49=441>>441 fish. 5 fish are relocated from one tank. 441-5 = <<441-5=436>>436 fish are left in the aquarium. ### Answer: 436
Expected answer: 436
Correct? Yes
Problem: Let's consider another situation. Suppose each of the 9 tanks in the aquarium originally contained 47 fish, instead of 49, and the same number of fish (5) were relocated from one tank as in the previous situation. Now, what would be the total number of fish in the aquarium?
LLemma 7B:
Reasoning: 9 tanks * 47 fish = <<9*47=423>>423 fish. 5 fish are relocated from one tank. 423-5 = <<423-5=418>>418 fish are left in the aquarium. ### Answer: 418
Expected answer: 418
Correct? Yes
Problem: In a card game, Jeremy has 14 cards. He then discards 19 of his cards, and then gains 32 more cards from the deck. How many cards does Jeremy have now?
LLemma 7B:
Reasoning: Jeremy has 14-19 = <<14-19= -5>>-5 cards. Jeremy has -5+32 = <<-5+32=27>>27 cards. ### Answer: 27
Expected answer: 27
Correct? Yes
Problem: In a card game, Jeremy has 14 cards. He then discards 19 of his cards, and then gains 32 more cards from the deck. In the next moved, Jeremy was fortunate enough to be given 7 more cards and found 12 more discarded cards on the table, which he added to his deck. How many cards does Jeremy have now?
LLemma 7B:
Reasoning: Jeremy has 14-19+32+7 = <<14-19+32+7=27>>27 cards. Jeremy has 27-12 = <<27-12=15>>15 cards. ### Answer: 15
Expected answer: 46
Correct? No
Problem: In the card game, let's imagine that Jeremy initially had 14 cards, but this time he only discards 19 cards before gaining 13 more cards from the deck. How many cards does Jeremy have now?
LLemma 7B:
Reasoning: Jeremy has 14-19 = <<14-19= -5>>-5 cards. Jeremy has -5+13 = <<-5+13=8>>8 cards. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: A clock ticks 504 times in 42 minutes. Similarly, another clock ticks 279 times in 31 minutes. Add 34 to the rate of the second clock's ticks per minute. Multiply the first clock's ticks per minute by 35 and then subtract 41 from it. Finally, subtract the rate of the second clock (after adding 34) from the manipulated rate of the first clock. What is the final value?
LLemma 7B:
Reasoning: 504/42 = <<504/42=12>>12 ticks per minute for the first clock. 279/31 = <<279/31=9>>9 ticks per minute for the second clock. 9+34 = <<9+34=43>>43 ticks per minute for the second clock after adding 34. 12*35 = <<12*35=420>>420 ticks per minute for the first clock after multiplying by 35. 420-41 = <<420-41=379>>379 ticks per minute for the first clock after subtracting 41. 379-43 = <<379-43=336>>336 ticks per minute for the first clock after subtracting the second clock's rate after adding 34. ### Answer: 336
Expected answer: 336
Correct? Yes
Problem: In the previous question about clocks, the second clock actually ticks 279 times in just 2 minutes, not 31 minutes. Re-calculate the rate of ticks per minute for this clock and add 34 to it. As before, calculate the tick rate for the first clock, then multiply it by 35 and subtract 41. Finally, subtract this modified rate of the second clock from the manipulated rate of the first clock. What is the new result?
LLemma 7B:
Reasoning: 504/42 = <<504/42=12>>12 ticks per minute for the first clock. 279/2 = <<279/2=139.5>>139.5 ticks per minute for the second clock. 139.5+34 = <<139.5+34=173.5>>173.5 ticks per minute for the second clock after adding 34. 12*35 = <<12*35=420>>420 ticks per minute for the first clock after multiplying by 35. 420-41 = <<420-41=379>>379 ticks per minute for the first clock after subtracting 41. 379-173.5 = <<379-173.5=205.5>>205.5 ticks per minute for the first clock after subtracting the second clock's rate after adding 34. ### Answer: 205.5
Expected answer: 411/2
Correct? Yes
Problem: Nina has noted down the rainfall of her town in centimeters over the last few days. On Tuesday, there was a rainfall of 39 cm. The rainfall decreased by 6 cm on Wednesday and further decreased by 31 cm on Thursday. How much rainfall did Nina note on Thursday?
LLemma 7B:
Reasoning: Nina noted down the rainfall of her town in centimeters over the last few days. On Tuesday, there was a rainfall of 39 cm. The rainfall decreased by 6 cm on Wednesday and further decreased by 31 cm on Thursday. Nina noted down the rainfall of her town in centimeters over the last few days. On Tuesday, there was a rainfall of 39 cm. The rainfall decreased by 6 cm on Wednesday and further decreased by 31 cm on Thursday. ### Answer: 39-6-31=<<39-6-31=12>>12 cm
Expected answer: 2
Correct? No
Problem: A UFO-watching enthusiast reported seeing 50 UFOs in a month. However, a later investigation revealed that 36 of these were actually meteors. In the next month, the enthusiast reported seeing 41 UFOs, plus an amount equal to the revised (i.e., actual) number of UFO sightings from the previous month, with an additional 5. How many UFO sightings were reported by the enthusiast in the second month?
LLemma 7B:
Reasoning: The number of UFO sightings in the second month is 50-36=<<50-36=14>>14. The number of UFO sightings in the second month is 14+5=<<14+5=19>>19. ### Answer: 19
Expected answer: 60
Correct? No
Problem: A cat started playing with yarn balls. In her first game, she managed to accumulate 5 yarn balls. In her second game, she got as many balls as the square of what she obtained in the first game plus 8 more. Finally, she lost some of her balls in her third game due to a playful dog. She ended the game with a number of balls which is 25 times the difference between 45 and what she accumulated from the second game. How many yarn balls does the cat have now?
LLemma 7B:
Reasoning: The cat has <<5*5+8=25>>25 balls in the second game. The cat has <<25*45-25>>25*45-25 balls in the third game. The cat has <<25*45-25*25>>25*45-25*25 balls now. ### Answer: 25*45-25*25
Expected answer: 300
Correct? No
Problem: A basket contains 41 balls. The balls are split into two types - tennis balls and cricket balls. If we remove 16 balls from the basket, we get cricket balls. When 9 ping pong balls and 21 basketballs are added to the basket, what is the total number of balls in the basket?
LLemma 7B:
Reasoning: 16 tennis balls are removed from the basket. 41-16 = <<41-16=25>>25 balls are left in the basket. 25-9 = <<25-9=16>>16 balls are cricket balls. 16+21 = <<16+21=37>>37 balls are left in the basket. ### Answer: 37
Expected answer: 55
Correct? No
Problem: The design of a classic wall clock dictates that there should be 1 number represented for every 12 around the clock face. However, your quirky modernist clockmaker friend wants to do things differently. They want to represent 37 hours on the clock's face, each hour has an equivalent of 1 square. Your friend has already completed 32 squares. They left their project for a while, and when they came back, they forgot how many squares they needed to fulfill their quirk. So they did some math to figure it out: they subtracted 32 from 37, added 42 to the result, and then subtracted 37 from that total. Suddenly, an idea occurred to them. What if they add 25 more squares for representing minutes on their quirky clock? Plus, they also wanted to add another 28 squares for seconds. Since your friend is a bit forgetful, they forgot how many squares they need again to finish their project. So, they did a little more math - added 41 to 25, followed by another 28, and then added 17 to the result. Because your friend didn't have enough material, they decided that they could reduce the total number of squares by 23. Finally, they added the number they figured out at the beginning (for hours) to this reduced number. Can you help your friend figure out how many squares they would need in total to complete their quirky clock?
LLemma 7B:
Reasoning: 37-32=<<37-32=5>>5, 5+42=<<5+42=47>>47, 47-37=<<47-37=10>>10, 10+25=<<10+25=35>>35, 35+28=<<35+28=63>>63, 63-23=<<63-23=40>>40, 40+5=<<40+5=45>>45 ### Answer: 45
Expected answer: 98
Correct? No
Problem: An orange farm produced 2 times the 28 pounds of oranges they typically produce in a single day due to a new method. This production also multiplied by the 15 days of the harvest period. If the farm then added 16 pounds of a rare orange variant to this harvest, how much did the farm produce in total?
LLemma 7B:
Reasoning: The farm produced 28*2*15+16 = <<28*2*15+16>>1368 pounds of oranges. ### Answer: 1368
Expected answer: 856
Correct? No
Problem: A bus has 37 passengers. At the next stop, 20 more passengers get on. Before the bus reaches to the next stop, 44 passengers get off. Now, suppose this remaining number of passengers each pays an $11 fare, but the bus company also deducts a $14 service fee from the total fare. How much revenue does the bus company get?
LLemma 7B:
Reasoning: 37+20-44=<<37+20-44=13>>13 passengers are left on the bus. 13*11-14=<<13*11-14=127>>127 is the revenue. ### Answer: 127
Expected answer: 129
Correct? No
Problem: A pirate found a treasure chest with 13 emeralds, 42 rubies, and 19 sapphires. He gave away 43 of these precious gems to his crewmates. How many gems did the pirate have left?
LLemma 7B:
Reasoning: The pirate gave away 43 of the 13+42+19 = <<13+42+19=64>>64 gems. The pirate gave away 43 of the 64 gems. The pirate gave away 43/64 = <<43/64=0.66>>0.66 of the gems. The pirate gave away 0.66 of the gems. The pirate gave away 66% of the gems. The pirate gave away 66% of the 13+42+19 = <<13+42+19=64>>64 gems. The pirate gave away 66% of the 64 gems. The pirate gave away 66% of the 64 gems. The pirate gave away 66% of the 64 gems. The pirate gave away 66% of the 64 gems. The pirate gave away 66% of the 64 gems. The pirate gave away 66% of the 64 gems. The pirate gave away 66% of the 64 gems. The pirate gave away 66% of the 64 gems. The pirate gave away 66% of the 64 gems. The pirate gave away 66% of the 64 gems. The pirate gave away 66% of the 64 gems. The pirate gave away 66% of the 64 gems. The pirate gave away 66% of the 64 gems. The pirate gave away 66% of the 64 gems. The pirate gave away 66% of the 64 gems. The pirate gave away 66% of the 64 gems. The pirate gave away 66% of the 64 gems. The pirate gave away 66% of the 64 gems. The pirate gave away 66% of the 64 gems. The pirate gave away 66% of the 64 gems. The pirate gave away 66% of the 64 gems. The pirate gave away 66% of the 64 gems. The pirate gave away 66% of the 64 gems. The pirate gave away 66% of the 64 gems. The pirate gave away 66% of the 64 gems. The pirate gave away 66% of the 64 gems. The pirate gave away 66% of the 64 gems. The pirate gave away 66% of the 64 gems. The pirate gave away 66% of the 64 gems. The pirate gave away 66% of the 64 gems. The pirate gave away 66% of the 64 gems. The pirate gave away 66% of the 64 gems. The pirate gave away 66% of the 64 gems. The pirate gave away 66% of the 64 gems. The pirate gave away 66% of the 64 gems. The pirate gave away 66% of the 64 gems. The pirate gave away 66% of the 64 gems. The pirate gave away 66% of the 64 gems. The pirate gave away 66% of the 64 gems. The pirate gave away 66% of the 64 gems. The pirate gave away 66% of the 64 gems. The pirate gave away 66% of the 64 gems. The pirate gave away 66% of the 64 gems. The pirate gave away 66% of the 64 gems. The pirate gave away 66% of the 64 gems. The pirate gave away 66% of the 64 gems. The pirate gave away 6
Expected answer: 31
Correct? No
Problem: A certain reserve has 16 ginger giraffes. They then bring in the same number of golden giraffes as they had of the ginger ones. Later, they decide to add another group of 46 greyish giraffes. What is the total number of giraffes in the reserve now?
LLemma 7B:
Reasoning: The number of golden giraffes is the same as the number of ginger giraffes. The number of golden giraffes is 16. The number of greyish giraffes is 46. The total number of giraffes is 16+16+46 = <<16+16+46=88>>88. ### Answer: 88
Expected answer: 78
Correct? No
Problem: A turtle decides to swim. One day, it travels as many leagues as 11 plus 10, then multiplies that by 16 to get the total distance it swam that week. Later, it realized it had over calculated the distance by 41 leagues. What is the real distance it swam that week?
LLemma 7B:
Reasoning: 11+10=<<11+10=21>>21 leagues, 21*16=<<21*16=336>>336 leagues, 336-41=<<336-41=335>>335 leagues. ### Answer: 335
Expected answer: 295
Correct? No