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?
Qwen2-Math 7B:
Reasoning: The songwriter divides 162 words into 18 lines, so each line has 162/18 = <<162/18=9>>9 words. To each line, he adds 34 more words, so the total number of words per line is 9+34 = <<9+34=43>>43 words. ### Answer: 43
Expected answer: 43
Correct? Yes
Problem: Following from the previous problem, the songwriter then decides to add an extra refrain to the end of each verse. If the refrain has 39 words, determine how many words are in each line after this final addition.
Qwen2-Math 7B:
Reasoning: The songwriter adds 39 words to each line, so the total number of words per line is 43+39 = <<43+39=82>>82 words. ### Answer: 82
Expected answer: 82
Correct? Yes
Problem: In the previous problem, the songwriter added 34 words as the refrain to each line in his song. However, what if he had decided to keep the refrain a bit shorter and added only 28 words to each line instead? How many words would each line of the song contain in that case?
Qwen2-Math 7B:
Reasoning: If the songwriter added 28 words to each line instead of 34, the total number of words per line would be 9+28 = <<9+28=37>>37 words. ### Answer: 37
Expected answer: 37
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The penguin population in the first place increased by 49, so the total number of penguins in the first place is 35 + 49 = <<35+49=84>>84. The penguin population in the second place is 598 divided evenly among 26 ice floes, so the total number of penguins in the second place is 598 / 26 = <<598/26=23>>23. The penguin population in the first place increased by 33, so the total number of penguins in the first place is 84 + 33 = <<84+33=117>>117. The penguin population in the first place decreased by 10, so the total number of penguins in the first place is 117 - 10 = <<117-10=107>>107. The total number of penguins in the first place and the second place is 107 + 23 = <<107+23=130>>130. The total number of penguins in the first place and the second place increased by 20 adults and 14 chicks, so the final total number of penguins is 130 + 20 + 14 = <<130+20+14=164>>164. ### Answer: 164
Expected answer: 164
Correct? Yes
Problem: The penguin biologist made a mistake when she was adding the extra penguins for her new survey. Instead of counting 33 more penguins, she actually only counted 19 more. After realizing this, she recalculates the total penguins, still subtracting by 10, due to her initial overestimation. With the same population at her base camp (20 adults and 14 chicks), how many penguins was she now considering?
Qwen2-Math 7B:
Reasoning: The penguin population in the first place increased by 49, so the total number of penguins in the first place is 35 + 49 = <<35+49=84>>84. The penguin population in the second place is 598 divided evenly among 26 ice floes, so the total number of penguins in the second place is 598 / 26 = <<598/26=23>>23. The penguin population in the first place increased by 19, so the total number of penguins in the first place is 84 + 19 = <<84+19=103>>103. The penguin population in the first place decreased by 10, so the total number of penguins in the first place is 103 - 10 = <<103-10=93>>93. The total number of penguins in the first place and the second place is 93 + 23 = <<93+23=116>>116. The total number of penguins in the first place and the second place increased by 20 adults and 14 chicks, so the final total number of penguins is 116 + 20 + 14 = <<116+20+14=150>>150. ### Answer: 150
Expected answer: 150
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The total number of colored steps on the first jungle gym is 19+19 = <<19+19=38>>38. The total number of colored steps on the second jungle gym is 34. The total number of colored steps on the two jungle gyms is 38+34 = <<38+34=72>>72. ### Answer: 72
Expected answer: 61
Correct? No
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?
Qwen2-Math 7B:
Reasoning: Subtract 22 from the average rainfall of the typical cloud per hour: 775/31 - 22 = <<775/31-22=15.645161290322581>>15.645161290322581 Multiply this by 23: 15.645161290322581 * 23 = <<15.645161290322581*23=359.8387096774193>>359.8387096774193 Add this result to a constant cloud factor of 42: 359.8387096774193 + 42 = <<359.8387096774193+42=401.8387096774193>>401.8387096774193 Add this new result to the hourly rainfall of the initial cloud: 401.8387096774193 + 47 = <<401.8387096774193+47=448.8387096774193>>448.8387096774193 Subtract 2 from it: 448.8387096774193 - 2 = <<448.8387096774193-2=446.8387096774193>>446.8387096774193 ### Answer: 446.8387096774193
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?
Qwen2-Math 7B:
Reasoning: Nadia practiced for 45+35+35 = <<45+35+35=115>>115 minutes in total that day. ### Answer: 115
Expected answer: 115
Correct? Yes
Problem: Reflecting upon her previous practice sessions, Nadia thought she could do more. She decided to adjust her morning practice time from 45 minutes to 26 minutes. Still maintaining her afternoon and evening sessions at 35 minutes each, how many minutes in total would Nadia be practicing for the day with this adjustment?
Qwen2-Math 7B:
Reasoning: Nadia practiced for 26+35+35 = <<26+35+35=96>>96 minutes in total with the adjusted morning practice time. ### Answer: 96
Expected answer: 96
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The price of a dress during the flash sale is $44 * (465/31) = <<44*(465/31)=580>>$580. ### Answer: $580
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?
Qwen2-Math 7B:
Reasoning: On Tuesday, the rope maker made 46+19 = <<46+19=65>>65 meters of rope. On Wednesday, the rope maker had 46+65 = <<46+65=111>>111 meters of rope. After the damage, he had 111-9 = <<111-9=102>>102 meters of usable rope. ### Answer: 102
Expected answer: 56
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The cost of the earrings is 16 * $2 = <<16*2=32>>$32. The total cost of the gift is $32 + $25 + $48 = <<32+25+48=105>>$105. ### 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?
Qwen2-Math 7B:
Reasoning: Each friend gets 60/3 = <<60/3=20>>20 beads. After adding 4 more beads to each friend's pile, each friend has 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?
Qwen2-Math 7B:
Reasoning: Emma divides 60 beads among 28 friends, which means each friend gets 60/28 = <<60/28=2.142857142857143>>2.142857142857143 beads. Since we can't have a fraction of a bead, we round down to 2 beads per friend. After adding 4 more beads to each friend's stack, each friend has 2+4 = <<2+4=6>>6 beads. ### Answer: 6
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?
Qwen2-Math 7B:
Reasoning: The boy had 37-4 = <<37-4=33>>33 straws after removing 4. He then had 33-23 = <<33-23=10>>10 straws after removing another 23. He multiplied the remaining straws by 45, so he had 10*45 = <<10*45=450>>450 straws. He then subtracted 49 from that total, so he had 450-49 = <<450-49=401>>401 straws. He then took out 7 more straws, so he had 401-7 = <<401-7=394>>394 straws left. ### Answer: 394
Expected answer: 394
Correct? Yes
Problem: After reflecting on his kite design, the young boy realized he made a mistake. When he multiplied the number of remaining paper straws by 45, he should have subtracted 25, not 49. If he corrects this calculation error and takes out 7 final straws as before, how many straws does he have now for his kite?
Qwen2-Math 7B:
Reasoning: The boy had 37-4 = <<37-4=33>>33 straws after removing 4. He then had 33-23 = <<33-23=10>>10 straws after removing another 23. He multiplied the remaining straws by 45, so he had 10*45 = <<10*45=450>>450 straws. He then subtracted 25 from that total, so he had 450-25 = <<450-25=425>>425 straws. He then took out 7 more straws, so he had 425-7 = <<425-7=418>>418 straws left. ### Answer: 418
Expected answer: 418
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: Each trip saw 2 * 3 = <<2*3=6>>6 animals, and each baby animal was photographed 21 times, so each trip saw 6 * 21 = <<6*21=126>>126 photos. Since there were 2 trips, the total number of photos taken was 126 * 2 = <<126*2=252>>252 photos. If 34 photos were spoiled, then the number of usable photos was 252 - 34 = <<252-34=218>>218 photos. With the additional 30 photos, the total number of usable photos would be 218 + 30 = <<218+30=248>>248 photos. ### Answer: 248
Expected answer: 248
Correct? Yes
Problem: In the previous case at the zoo, imagine if each baby animal could only be photographed 16 times, instead of 21. Given the same spoiling rate of 34 photos and the additional opportunity to take 30 more photos later, how many usable photos would be available now?
Qwen2-Math 7B:
Reasoning: Each trip saw 2 * 3 = <<2*3=6>>6 animals, and each baby animal was photographed 16 times, so each trip saw 6 * 16 = <<6*16=96>>96 photos. Since there were 2 trips, the total number of photos taken was 96 * 2 = <<96*2=192>>192 photos. If 34 photos were spoiled, then the number of usable photos was 192 - 34 = <<192-34=158>>158 photos. With the additional 30 photos, the total number of usable photos would be 158 + 30 = <<158+30=188>>188 photos. ### Answer: 188
Expected answer: 188
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: After removing 30 letters from the initial 47, the word had 47-30 = <<47-30=17>>17 letters. After adding 10 more letters, the word had 17+10 = <<17+10=27>>27 letters. After removing 3 letters in the next round, the word had 27-3 = <<27-3=24>>24 letters. ### Answer: 24
Expected answer: 24
Correct? Yes
Problem: In the continuation of the literacy event, the learners had the opportunity to add more letters to the word after the last deletion. They decided to add 39 more letters. How many letters were in the word after this final addition?
Qwen2-Math 7B:
Reasoning: After adding 39 more letters to the word with 24 letters, the word had 24+39 = <<24+39=63>>63 letters. ### Answer: 63
Expected answer: 63
Correct? Yes
Problem: In revisiting the literacy event, let's consider a different scenario. When the learners formed the word with 47 letters and due to a mistake had to remove 30, instead of adding 10 letters, what if they added only 10 - 16 = -6 letters? What would the total number of letters be in the word after this change?
Qwen2-Math 7B:
Reasoning: After removing 30 letters from the initial 47, the word had 47-30 = <<47-30=17>>17 letters. After adding 10 - 16 = -6 letters, the word had 17-6 = <<17-6=11>>11 letters. ### Answer: 11
Expected answer: 11
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: Tommy's average speed would be the average of his initial speed and his final speed. Tommy's final speed is 74/37 - 3 = <<74/37-3=1.9972972972972973>>1.9972972972972973 mph. Tommy's average speed is (74/37 + 1.9972972972972973)/2 = <<(74/37+1.9972972972972973)/2=3.4986486486486485>>3.4986486486486485 mph. ### Answer: 3.4986486486486485
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?
Qwen2-Math 7B:
Reasoning: Liam has 40*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?
Qwen2-Math 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?
Qwen2-Math 7B:
Reasoning: Liam would have 38*16 = <<38*16=608>>608 building blocks in that case. ### 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?
Qwen2-Math 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?
Qwen2-Math 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?
Qwen2-Math 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?
Qwen2-Math 7B:
Reasoning: The remaining snowfall days in City A are 36-14 = <<36-14=22>>22 days. The average daily snowfall in City B is 98/14 = <<98/14=7>>7 inches. The total snowfall in inches in City A is 22*7 = <<22*7=154>>154 inches. The snow removal has managed to remove an amount of snow equal to the average daily snowfall in City B, which is 7 inches. Therefore, the amount of snow left in City A after the snow removal is 154-7 = <<154-7=147>>147 inches. ### Answer: 147
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?
Qwen2-Math 7B:
Reasoning: The pirate finds 28+21 = <<28+21=49>>49 rubies on the second day. The pirate has 28+49 = <<28+49=77>>77 rubies in total 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?
Qwen2-Math 7B:
Reasoning: The pirate has 77+29 = <<77+29=106>>106 rubies after the third day. The pirate has 106-36 = <<106-36=70>>70 rubies in total after losing some. ### 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?
Qwen2-Math 7B:
Reasoning: The pirate finds 6+21 = <<6+21=27>>27 rubies on the second day. The pirate has 6+27 = <<6+27=33>>33 rubies in total 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?
Qwen2-Math 7B:
Reasoning: The total snowfall is 47+7+17+48+31-27 = <<47+7+17+48+31-27=128>>128 inches. ### Answer: 128
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?
Qwen2-Math 7B:
Reasoning: The vendor sold 46 balloons every hour for 11 hours, which is 46*11 = <<46*11=506>>506 balloons. After the fair had closed, he sold an additional 31 balloons. In total, the vendor sold 506+31 = <<506+31=537>>537 balloons that day. ### Answer: 537
Expected answer: 537
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: In the second game, their combined score was 31+39 = <<31+39=70>>70 points. In the special round, their score was multiplied by the difference between 27 and the number of cards left in the deck, which was 23. So, their score in the special round was 70*23 = <<70*23=1610>>1610 points. ### Answer: 1610
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?
Qwen2-Math 7B:
Reasoning: The company produced 17+18+29 = <<17+18+29=64>>64 chairs in the morning and another 64 in the evening, for a total of 64+64 = <<64+64=128>>128 chairs. After giving away 48 chairs to charity and using 7 chairs for quality testing, the company has 128-48-7 = <<128-48-7=73>>73 chairs left. ### Answer: 73
Expected answer: 73
Correct? Yes
Problem: Continuing from the last example, suppose the furniture company only crafted 15 wooden seats in the morning instead of 18 but kept the rest of operations unchanged. After repeating the same production, donating 48 chairs to charity, and using 7 for quality testing, how many chairs will be the company left with?
Qwen2-Math 7B:
Reasoning: The company produced 17+15+29 = <<17+15+29=61>>61 chairs in the morning and another 61 in the evening, for a total of 61+61 = <<61+61=122>>122 chairs. After giving away 48 chairs to charity and using 7 chairs for quality testing, the company has 122-48-7 = <<122-48-7=67>>67 chairs left. ### Answer: 67
Expected answer: 67
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The new jungle gym has 2+20 = <<2+20=22>>22 zip lines. The new jungle gym has 22*31 = <<22*31=682>>682 special hooks. The popular jungle gym has 46+18 = <<46+18=64>>64 play components. The new jungle gym has 682-64 = <<682-64=618>>618 more hooks than the popular jungle gym. ### Answer: 618
Expected answer: 618
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: John divided $168 evenly between 21 days, so he saved $168/21 = <<168/21=8>>8 per day. John received an additional $47 from his job and another amount of money which is the sum of $12 and $45, so he received $47 + $12 + $45 = <<47+12+45=104>>104. John now has $168 + $47 + $104 = <<168+47+104=319>>319. ### Answer: 319
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?
Qwen2-Math 7B:
Reasoning: The robot can stack 32*4 = <<32*4=128>>128 boxes in 4 minutes. The robot will have stacked 128+1 = <<128+1=129>>129 boxes in total. ### 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?
Qwen2-Math 7B:
Reasoning: The robot knocked over 129-21 = <<129-21=108>>108 boxes. There are 108 boxes remaining stacked after the robot knocks some over. ### Answer: 108
Expected answer: 108
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The robot can stack 32*4 = <<32*4=128>>128 boxes in 4 minutes. The robot will have stacked 128+11 = <<128+11=139>>139 boxes in total. ### 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?
Qwen2-Math 7B:
Reasoning: The female tiger had 26 cubs in total. Unfortunately, 17 of them did not survive, leaving 26-17 = <<26-17=9>>9 cubs. After growing up, 6 of the surviving tigers moved to other territories, leaving 9-6 = <<9-6=3>>3 tigers 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?
Qwen2-Math 7B:
Reasoning: If the female tiger had given birth to 24 cubs instead of 26, and 17 of them did not survive, then 24-17 = <<24-17=7>>7 cubs survived. If 6 of the surviving tigers moved to other territories, then 7-6 = <<7-6=1>>1 tiger would have 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?
Qwen2-Math 7B:
Reasoning: The colony started with 44 members. 39 new penguins joined, so the total became 44+39 = <<44+39=83>>83. 16 penguins left, so the total became 83-16 = <<83-16=67>>67. Another group of 35 penguins joined, so the total became 67+35 = <<67+35=102>>102. ### Answer: 102
Expected answer: 102
Correct? Yes
Problem: In the same penguin colony, they started off 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. This time, to supplant the loss, another group of 12 penguins join the colony, instead of 35. How many penguins are in the colony now?
Qwen2-Math 7B:
Reasoning: The colony started with 44 members. 39 new penguins joined, so the total became 44+39 = <<44+39=83>>83. 16 penguins left, so the total became 83-16 = <<83-16=67>>67. Another group of 12 penguins joined, so the total became 67+12 = <<67+12=79>>79. ### Answer: 79
Expected answer: 79
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The helicopter's increased speed is 10+40+20 = <<10+40+20=70>>70 miles per minute. In 12 minutes, the helicopter will travel 70*12 = <<70*12=840>>840 miles. ### Answer: 840
Expected answer: 840
Correct? Yes
Problem: After re-evaluating its performance, the helicopter realized that its actual speed increase was lesser than initially thought. Instead of the initial 40 miles speed increase, the increase was just 2 miles. Given that the original speed of 10 miles and an additional bonus speed of 20 miles remained the same, how far will the helicopter be able to travel in 12 minutes at this revised speed?
Qwen2-Math 7B:
Reasoning: The revised speed of the helicopter is 10+2+20 = <<10+2+20=32>>32 miles per minute. In 12 minutes, the helicopter will travel 32*12 = <<32*12=384>>384 miles. ### Answer: 384
Expected answer: 384
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The new telescope needs to be 41-26 = <<41-26=15>>15 magnification stronger than the existing one. ### Answer: 15
Expected answer: 15
Correct? Yes
Problem: The Space Institute realized that the initial magnification power of the existing telescope was actually 16, not 26 as previously thought. If they still want to reach a magnification strength of 41, how much more magnification is now needed compared to the existing telescope?
Qwen2-Math 7B:
Reasoning: The new telescope needs to be 41-16 = <<41-16=25>>25 magnification stronger than the existing one. ### Answer: 25
Expected answer: 25
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: Sophie worked 2 hours on Monday, so she earned 2*18 = <<2*18=36>>36 dollars. After buying ice cream and coffee, she had 36-4-4 = <<36-4-4=28>>28 dollars left. She then added this to her pay for the next hour, so she had 28+18 = <<28+18=46>>46 dollars. Finally, she received a $45 bonus, so she has 46+45 = <<46+45=91>>91 dollars in total. ### Answer: 91
Expected answer: 91
Correct? Yes
Problem: In the same scenario, imagine if Sophie's parents now give her $5 for every hour she works at the family business instead of $18. She still works for two hours on Monday, spends the same amount on ice cream and coffee, works an additional hour, and receives the same $45 bonus from her grandmother. How much money does Sophie have in total now?
Qwen2-Math 7B:
Reasoning: Sophie worked 2 hours on Monday, so she earned 2*5 = <<2*5=10>>10 dollars. After buying ice cream and coffee, she had 10-4-4 = <<10-4-4=2>>2 dollars left. She then added this to her pay for the next hour, so she had 2+5 = <<2+5=7>>7 dollars. Finally, she received a $45 bonus, so she has 7+45 = <<7+45=52>>52 dollars in total. ### Answer: 52
Expected answer: 52
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The company initially had 30 beach towels and 6 hand towels, which totals to 36 towels. After giving away 7 towels for charity, they had 36 - 7 = <<36-7=29>>29 towels left. They then produced 14 more towels, bringing the total to 29 + 14 = <<29+14=43>>43 towels. For the special batch, they made 13 towels for every towel left after their charity activity, which is 13 * 43 = <<13*43=559>>559 towels. After removing 19 towels from this special batch, they had 559 - 19 = <<559-19=540>>540 towels left. They then removed 20 towels due to damage, leaving them with 540 - 20 = <<540-20=520>>520 towels. After deducting 3 more towels, they had 520 - 3 = <<520-3=517>>517 towels left. Finally, they combined this with the total they had after their second batch of production, which is 43 + 517 = <<43+517=560>>560 towels. ### Answer: 560
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?
Qwen2-Math 7B:
Reasoning: The total number of energy crystals in the zorbcraft's hidden compartment will be 50 (initial) + 20 (additional) = <<50+20=70>>70. The total number of items (energy crystals and lumino-gems) in the zorbcraft's compartment will be 70 (energy crystals) + 6 (lumino-gems) = <<70+6=76>>76. ### Answer: 76
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?
Qwen2-Math 7B:
Reasoning: The number of new dinosaur types added is 972/27 = <<972/27=36>>36. The difference between the number of Velociraptors and the new dinosaur types added is 43 - 36 = <<43-36=7>>7. The total number of eggs laid by the Velociraptors that week is 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?
Qwen2-Math 7B:
Reasoning: The number of Velociraptor eggs that are expected to successfully hatch is 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?
Qwen2-Math 7B:
Reasoning: The number of new dinosaur types added is 972/46 = <<972/46=21>>21. The difference between the number of Velociraptors and the new dinosaur types added is 43 - 21 = <<43-21=22>>22. The total number of eggs laid by the Velociraptors this week is 22 * 46 = <<22*46=1012>>1012. ### Answer: 1012
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?
Qwen2-Math 7B:
Reasoning: Maria took 16 oranges from the bowl, so there are 46-16 = <<46-16=30>>30 oranges left in the bowl. ### 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?
Qwen2-Math 7B:
Reasoning: Maria took 16 oranges from the bowl, so there are 49-16 = <<49-16=33>>33 oranges left in the bowl. ### 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?
Qwen2-Math 7B:
Reasoning: The factory produces 308/7 = <<308/7=44>>44 toothbrushes per minute. In 16 minutes, the factory produced 16*44 = <<16*44=704>>704 toothbrushes. In total, the factory produced 37*15 + 704 = <<37*15+704=1259>>1259 toothbrushes. ### Answer: 1259
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.
Qwen2-Math 7B:
Reasoning: The research laboratory has 39+7+17+12+18+39+19 = <<39+7+17+12+18+39+19=169>>169 telescopes at the end of the sixth month. ### Answer: 169
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?
Qwen2-Math 7B:
Reasoning: Initially, there were 20+23 = <<20+23=43>>43 utensils. After adding 28 sets of cutlery, there were 28*26 = <<28*26=728>>728 utensils. After removing the original set, there were 728-43 = <<728-43=685>>685 utensils. After counting, there were 7 more utensils than expected, so there were 685-7 = <<685-7=678>>678 utensils left on the table. ### Answer: 678
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?
Qwen2-Math 7B:
Reasoning: The unicorn has 50+36 = <<50+36=86>>86 roses in total before the storm. After the storm, the unicorn has 86-25 = <<86-25=61>>61 roses left in her garden. ### 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?
Qwen2-Math 7B:
Reasoning: 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?
Qwen2-Math 7B:
Reasoning: If the unicorn had initially had 50 red roses and 38 blue roses, she would have had 50+38 = <<50+38=88>>88 roses in total before the storm. After the storm, the unicorn would have 88-25 = <<88-25=63>>63 roses left in her garden. ### 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?
Qwen2-Math 7B:
Reasoning: The factory produces 100 bottles every hour, so in a day (24 hours), it produces 100*24 = <<100*24=2400>>2400 bottles. Half of the hourly production is sent to one warehouse, so 2400/2 = <<2400/2=1200>>1200 bottles are sent to the first warehouse. Triple the amount sent to the first warehouse was marked for shipping, so 1200*3 = <<1200*3=3600>>3600 bottles were marked for shipping. An additional 29 bottles were marked for shipping, so 3600+29 = <<3600+29=3629>>3629 bottles were marked for shipping. By the end of the day, 28 more bottles were added to this shipment, so 3629+28 = <<3629+28=3657>>3657 bottles were marked for shipping in total. ### Answer: 3657
Expected answer: 207
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The height of the window frame is 925/37 + 26 = <<925/37+26=35>>35 inches. The width of the window is 35 + 11 = <<35+11=46>>46 inches. The circumference of the window is 2 * 46 + 35 = <<2*46+35=127>>127 inches. The size of the glass required for the window is 127 - 32 = <<127-32=95>>95 inches. ### Answer: 95
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?
Qwen2-Math 7B:
Reasoning: The pirate initially divided the gold coins and emeralds among his crew. The share per crew member for gold coins is 135/9 = <<135/9=15>>15, and for emeralds, it is 323/19 = <<323/19=17>>17. Multiplying these shares gives 15*17 = <<15*17=255>>255. However, due to a miscount, the total share was overcounted by 14. Therefore, the corrected total share per crew member is 255 - 14 = <<255-14=241>>241. ### 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?
Qwen2-Math 7B:
Reasoning: The total weight of ingredients for the second batch of chocolates is 38 + 18 = <<38+18=56>>56 grams. The total weight of ingredients for the third batch of chocolates is 38 + 26 = <<38+26=64>>64 grams. The difference in the total weight of ingredients between the second and third batch of chocolates is 64 - 56 = <<64-56=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?
Qwen2-Math 7B:
Reasoning: Jenny has 38-9 = <<38-9=29>>29 green colored pencils. The total number of times she used all her 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?
Qwen2-Math 7B:
Reasoning: Jenny used her blue colored pencils 31+16 = <<31+16=47>>47 times. The total number of times she used all her pencils is 261+47 = <<261+47=308>>308. ### Answer: 308
Expected answer: 308
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: Jenny has 38-12 = <<38-12=26>>26 green colored pencils. The total number of times she used all her 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?
Qwen2-Math 7B:
Reasoning: The total number of connections in a standard robot is 17 * 16 = <<17*16=272>>272. The total number of connections in the strangely built robot is 272 - 1 + 41 = <<272-1+41=312>>312. ### 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?
Qwen2-Math 7B:
Reasoning: The total number of connections in the first robot was 312. The total number of connections in the second robot is 312 - 13 = <<312-13=299>>299. ### Answer: 299
Expected answer: 284
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The number of kids on the rainy day is 6. The number of kids on the busy day is 24*31 = <<24*31=744>>744. The number of kids on the busy day minus the number of kids on the rainy day is 744-6 = <<744-6=738>>738. The number of kids on the busy day minus the number of kids on the rainy day minus the number of squirrels is 738-12 = <<738-12=726>>726. ### Answer: 726
Expected answer: 726
Correct? Yes
Problem: In the previous problem, instead of 31 attractions at the jungle gym, let's say there were only 6 attractions. So now, on a busy day, you have 24 kids at each of these 6 attractions. If that rainy day still only had 6 kids at the jungle gym in total, and there were 12 squirrels, how many kids will you have counted in total now?
Qwen2-Math 7B:
Reasoning: The number of kids on the rainy day is 6. The number of kids on the busy day is 24*6 = <<24*6=144>>144. The number of kids on the busy day minus the number of kids on the rainy day is 144-6 = <<144-6=138>>138. The number of kids on the busy day minus the number of kids on the rainy day minus the number of squirrels is 138-12 = <<138-12=126>>126. ### Answer: 126
Expected answer: 126
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: First, subtract 5 from 23: 23-5 = <<23-5=18>>18. Then, multiply by the number of magical chants: 18*6 = <<18*6=108>>108. Next, multiply by 7: 108*7 = <<108*7=756>>756. Then, multiply by 1: 756*1 = <<756*1=756>>756. Finally, subtract 48: 756-48 = <<756-48=708>>708. ### Answer: 708
Expected answer: 708
Correct? Yes
Problem: Imagine in the initial mystical chant, instead of subtracting 5 from 23, you subtracted 5 from just 8, then continued with the rest of the magic formula exactly the same - multiplying by the number of chants and so forth. How would this adjustment impact the final power of the ring?
Qwen2-Math 7B:
Reasoning: First, subtract 5 from 8: 8-5 = <<8-5=3>>3. Then, multiply by the number of magical chants: 3*6 = <<3*6=18>>18. Next, multiply by 7: 18*7 = <<18*7=126>>126. Then, multiply by 1: 126*1 = <<126*1=126>>126. Finally, subtract 48: 126-48 = <<126-48=78>>78. ### Answer: 78
Expected answer: 78
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The child can make 15 cookies in one hour. If the child spends 24 hours making the cookies, the child can make 15*24 = <<15*24=360>>360 cookies in total. ### Answer: 360
Expected answer: 360
Correct? Yes
Problem: If the same child decides to increase their cookie production rate and can now make 40 cookies in one hour, how many cookies are made when they spend the same amount of time (24 hours) baking?
Qwen2-Math 7B:
Reasoning: The child can make 40 cookies in one hour. If the child spends 24 hours making the cookies, the child can make 40*24 = <<40*24=960>>960 cookies in total. ### Answer: 960
Expected answer: 960
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The silversmith had 28+24-16 = <<28+24-16=36>>36 rings after the creation stage. He traded some rings and ended up with 36-21 = <<36-21=15>>15 rings. After that, he created 26*15 = <<26*15=390>>390 rings for a special order. In addition, he had made 7 platinum and 47 bronze rings for another order. The silversmith has 390+15+7+47 = <<390+15+7+47=469>>469 rings in total now. ### Answer: 469
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?
Qwen2-Math 7B:
Reasoning: The total number of flowers in the rows is 19*40/2 = <<19*40/2=380>>380. The total number of flowers in the small corners is 18+48 = <<18+48=66>>66. The difference between the total number of flowers in the rows and the small corners is 380-66 = <<380-66=314>>314. ### Answer: 314
Expected answer: 314
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The bird laid 11*4 = <<11*4=44>>44 eggs this month. The total number of eggs in the forest this month is 44+40 = <<44+40=84>>84 eggs. ### 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?
Qwen2-Math 7B:
Reasoning: The forest rangers added 216/18 = <<216/18=12>>12 eggs to each nest. The total number of eggs in the forest now is 84+12*18 = <<84+12*18=300>>300 eggs. ### Answer: 300
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?
Qwen2-Math 7B:
Reasoning: The new mixture has 34 drops of paint. ### Answer: 34
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?
Qwen2-Math 7B:
Reasoning: The difference between the number of toy cars made on Monday and Tuesday is 32-27 = <<32-27=5>>5. The weekly goal is 5*49 = <<5*49=245>>245. The total number of toy cars prepared by staff members is 12*9 = <<12*9=108>>108. On Friday, they prepare 31 additional toy cars. The total number of toy cars made is 245+108+31 = <<245+108+31=384>>384. ### Answer: 384
Expected answer: 429
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?
Qwen2-Math 7B:
Reasoning: The farmer earned 29 dollars for each carrot over 44, so he earned 29 dollars for 45-44 = <<45-44=1>>1 carrot. The farmer earned 29*1 = <<29*1=29>>29 dollars if this continued. ### Answer: 29
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?
Qwen2-Math 7B:
Reasoning: The farmer earned 41 dollars for each carrot over 44, so he earned 41 dollars for 45-44 = <<45-44=1>>1 carrot. The farmer earned 41*1 = <<41*1=41>>41 dollars if this continued. ### Answer: 41
Expected answer: 41
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The worker started with 26 pairs of socks, but 50 pairs got torn, leaving the worker with 26-50 = <<26-50=-24>>-24 pairs of socks. However, the worker was able to produce 36 more pairs, so the worker now has -24+36 = <<26-50+36=12>>12 pairs of socks. The worker sells each pair of socks for $37, so the worker earns 12*37 = <<12*37=444>>444 dollars from the sock sales. The worker also found a $13 bill on the floor, so the worker has 444+13 = <<444+13=457>>457 dollars in total. ### Answer: 457
Expected answer: 457
Correct? Yes
Problem: In the sock factory situation previously described, let's suppose that instead of selling each pair of socks for $37, they instead sold each pair for $40. How much money does the worker have in total now?
Qwen2-Math 7B:
Reasoning: The worker started with 26 pairs of socks, but 50 pairs got torn, leaving the worker with 26-50 = <<26-50=-24>>-24 pairs of socks. However, the worker was able to produce 36 more pairs, so the worker now has -24+36 = <<26-50+36=12>>12 pairs of socks. The worker sells each pair of socks for $40, so the worker earns 12*40 = <<12*40=480>>480 dollars from the sock sales. The worker also found a $13 bill on the floor, so the worker has 480+13 = <<480+13=493>>493 dollars in total. ### Answer: 493
Expected answer: 493
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The jewelry maker initially had 38 beads. She removed 560/40 = <<560/40=14>>14 beads, leaving her with 38-14 = <<38-14=24>>24 beads. If she had 15 more beads initially, she would have had 38+15 = <<38+15=53>>53 beads. After removing 14 beads, she would have had 53-14 = <<53-14=39>>39 beads. Adding one more bead, she would have had 39+1 = <<39+1=40>>40 beads. Adding 39 more beads, she would have had 40+39 = <<40+39=79>>79 beads. ### Answer: 79
Expected answer: 79
Correct? Yes
Problem: In the continuation of the previous story, the jewelry maker decided to make another adjustment after adding beads to her bracelet. She then removed again the same number of beads she removed earlier, equal to dividing 560 by 40. After that, she finds a small box with an additional 20 beads in it that she decides to add to the bracelet. How many beads does the jewelry maker have now on her bracelet?
Qwen2-Math 7B:
Reasoning: The jewelry maker had 79 beads on her bracelet. She removed 560/40 = <<560/40=14>>14 beads, leaving her with 79-14 = <<79-14=65>>65 beads. Adding 20 more beads, she would have had 65+20 = <<65+20=85>>85 beads. ### Answer: 85
Expected answer: 85
Correct? Yes
Problem: In a different scenario, suppose the jewelry maker initially had 50 beads instead of 38. She still removed a number of beads equal to 560 divided by 40. Afterwards, she realized she might have actually started with 15 more beads than she originally thought. After correcting her count and removing some beads, she added one more bead, and then 39 more beads. How many beads does the jewelry maker have now in this case?
Qwen2-Math 7B:
Reasoning: The jewelry maker initially had 50 beads. She removed 560/40 = <<560/40=14>>14 beads, leaving her with 50-14 = <<50-14=36>>36 beads. If she had 15 more beads initially, she would have had 50+15 = <<50+15=65>>65 beads. After removing 14 beads, she would have had 65-14 = <<65-14=51>>51 beads. Adding one more bead, she would have had 51+1 = <<51+1=52>>52 beads. Adding 39 more beads, she would have had 52+39 = <<52+39=91>>91 beads. ### Answer: 91
Expected answer: 91
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: After moving 23 sharks, there are 30-23 = <<30-23=7>>7 sharks left. After bringing in 14 sharks, there are 7+14 = <<7+14=21>>21 sharks. After moving 3 sharks, there are 21-3 = <<21-3=18>>18 sharks. After multiplying by 43, the final figure for the research is 18*43 = <<18*43=774>>774. ### Answer: 774
Expected answer: 774
Correct? Yes
Problem: We are back at the aquarium again! Previously, we mentioned the number of sharks being multiplied by 43 for a research study. But this time, instead of multiplying by 43, the scientists made a mistake and only multiplied it by 4. What would the new figure for the experiment be?
Qwen2-Math 7B:
Reasoning: The new figure for the experiment would be 18*4 = <<18*4=72>>72. ### Answer: 72
Expected answer: 72
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: In the first two rounds, you earned 150/10 = <<150/10=15>>15 gold coins per round, for a total of 15*2 = <<15*2=30>>30 gold coins. In the third round, you collected 28 emeralds and 14 sapphires, for a total of 28+14 = <<28+14=42>>42 emeralds and sapphires. After sacrificing the same amount of gold coins as you earned in the first two rounds, you had 42-30 = <<42-30=12>>12 emeralds and sapphires left. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: After the third round of the puzzle game, you decided to combine all of your remaining emeralds and sapphires into powerful jewels. Each jewel requires the exact same amount of emeralds and sapphires that you had left. However, the process of creation multiplies the total number of your existing jewels with itself. How many powerful jewels did you end up having after this process?
Qwen2-Math 7B:
Reasoning: You had 12 emeralds and sapphires left after the third round. Since each jewel requires the exact same amount of emeralds and sapphires that you had left, you can create 12 jewels. After the process of creation, the total number of jewels is multiplied by itself, so you end up with 12*12 = <<12*12=144>>144 powerful jewels. ### Answer: 144
Expected answer: 144
Correct? Yes
Problem: In the initial phase of the puzzle game, instead of collecting 150 points in each of the first two rounds, let's say you managed to collect fewer points such that each round you earned only 15 gold coins as the points were divided by 10. Therefore, after the second round, you had a different amount of gold coins. In the third round, you collected 28 emeralds and 14 sapphires but had to sacrifice the same newly calculated amount of gold coins (as per the points collected in the first two rounds). How many emeralds and sapphires did you have left after adjusting for the gold coin sacrifice in the third round?
Qwen2-Math 7B:
Reasoning: In the first two rounds, you earned 15 gold coins per round, for a total of 15*2 = <<15*2=30>>30 gold coins. In the third round, you collected 28 emeralds and 14 sapphires, for a total of 28+14 = <<28+14=42>>42 emeralds and sapphires. After sacrificing the same amount of gold coins as you earned in the first two rounds, you had 42-30 = <<42-30=12>>12 emeralds and sapphires left. ### Answer: 12
Expected answer: 12
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The train carries 15 containers every day, except on Fridays when it carries 15+12 = <<15+12=27>>27 containers. On the following Monday, the train carries 15+26 = <<15+26=41>>41 containers. On Wednesday, the load decreases by 32 containers, so the train carries 41-32 = <<41-32=9>>9 containers. For the particular trip, the train is coupled with 2 more containers, so it carries 9+2 = <<9+2=11>>11 containers. After making one stop, an additional 48 containers are loaded onto the train, so the train carries 11+48 = <<11+48=59>>59 containers at this point. ### Answer: 59
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?
Qwen2-Math 7B:
Reasoning: The farmer had 39+33 = <<39+33=72>>72 lemons in total. After 12 lemons got spoiled, the farmer had 72-12 = <<72-12=60>>60 lemons left. After making lemonade, the farmer had 60-23 = <<60-23=37>>37 lemons left. ### Answer: 37
Expected answer: 37
Correct? Yes
Problem: In our previous calculations, we found out how many lemons the farmer had left after some got spoiled and some were used to make lemonade. However, what if the farmer actually had 24 lemons get spoiled on the first day instead of 12? How many lemons would the farmer have left after making the lemonade?
Qwen2-Math 7B:
Reasoning: The farmer had 39+33 = <<39+33=72>>72 lemons in total. After 24 lemons got spoiled, the farmer had 72-24 = <<72-24=48>>48 lemons left. After making lemonade, the farmer had 48-23 = <<48-23=25>>25 lemons left. ### Answer: 25
Expected answer: 25
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The bee collects 33*15 = <<33*15=495>>495 nectar droplets in an hour. The bee has 26+495 = <<26+495=521>>521 nectar droplets after an hour. ### Answer: 521
Expected answer: 521
Correct? Yes
Problem: If instead of starting with 26 nectar droplets, the bee had initially found 49 nectar droplets before it started its hour of flower visits, how many nectar droplets would the bee have after an hour of collecting nectar from 33 flowers with 15 nectar droplets each?
Qwen2-Math 7B:
Reasoning: The bee collects 33*15 = <<33*15=495>>495 nectar droplets in an hour. The bee has 49+495 = <<49+495=544>>544 nectar droplets after an hour. ### Answer: 544
Expected answer: 544
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The company's new hourly production is 36 + 6 = <<36+6=42>>42 marshmallows. The company's new daily production is 42 * 7 = <<42*7=294>>294 marshmallows. The company's goal is to produce 294 + 350 = <<294+350=644>>644 marshmallows per day. The company's actual hourly production is 644 / 7 = <<644/7=92>>92 marshmallows. The company's actual hourly production is 92 - 43 = <<92-43=49>>49 marshmallows. ### Answer: 49
Expected answer: 49
Correct? Yes
Problem: Following the change in their production strategy, the company decides to adjust its additional marshmallow pack production from the previous estimate of 6 packs per hour. Instead, now they add an extra 4 marshmallow packs per hour to the increased daily production of 350 marshmallows distributed over 7 hours. But, they still have a limitation and end up producing 43 less packs per hour than their goal. How many marshmallow packs per hour are they now producing?
Qwen2-Math 7B:
Reasoning: The company's new hourly production is 36 + 4 = <<36+4=40>>40 marshmallows. The company's new daily production is 40 * 7 = <<40*7=280>>280 marshmallows. The company's goal is to produce 280 + 350 = <<280+350=630>>630 marshmallows per day. The company's actual hourly production is 630 / 7 = <<630/7=90>>90 marshmallows. The company's actual hourly production is 90 - 43 = <<90-43=47>>47 marshmallows. ### Answer: 47
Expected answer: 47
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The first wizard produces 882/21 = <<882/21=42>>42 lights per day. The second wizard produces 460/20 = <<460/20=23>>23 glowing orbs per day. The difference in their daily averages is 42 - 23 = <<42-23=19>>19. 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?
Qwen2-Math 7B:
Reasoning: The Special Mix has 14+25+16+43 = <<14+25+16+43=98>>98 base ingredients. The limited edition candy has 98+7 = <<98+7=105>>105 base ingredients. The limited edition candy has 20-19 = <<20-19=1>>1 flavor. The limited edition candy has 105+1 = <<105+1=106>>106 components. The limited edition candy has 106-3 = <<106-3=103>>103 components used in creating this limited edition candy. ### Answer: 103
Expected answer: 103
Correct? Yes
Problem: Further consider the candy factory's process. If instead of the Jawbreaker having 16 base ingredients, it had 23 base ingredients instead, then how many different components would be used in creating the same limited edition candy as before?
Qwen2-Math 7B:
Reasoning: The Special Mix would have 14+25+23+43 = <<14+25+23+43=105>>105 base ingredients. The limited edition candy would have 105+7 = <<105+7=112>>112 base ingredients. The limited edition candy would have 112+1 = <<112+1=113>>113 components. The limited edition candy would have 113-3 = <<113-3=110>>110 components used in creating this limited edition candy. ### Answer: 110
Expected answer: 110
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: Initially, there were 32+33+29 = <<32+33+29=94>>94 officers on duty. After the operation, 21 officers were transferred, leaving 94-21 = <<94-21=73>>73 officers. After the addition of 39 officers, there were 73+39 = <<73+39=112>>112 officers. After the addition of 14 officers, there were 112+14 = <<112+14=126>>126 officers. ### Answer: 126
Expected answer: 126
Correct? Yes
Problem: The previous problem had us determine the total number of police officers on duty under certain conditions. Now, let's imagine a slightly different scenario. Like the previous situation, there were still 32 officers assigned to the north district and 33 sent to the south. The number for the downtown district was also the same, at 29. However, this time around, only 21 officers from the total force were transferred elsewhere instead of the original scenario's subtraction. A week later, an additional 22 officers, fewer than the 39 from the original scenario, were brought in for a different assignment. That same day, another addition of 14 officers was made, just like with the initial series of events. New question: How many officers total were on duty by the end of the day in this amended scenario?
Qwen2-Math 7B:
Reasoning: Initially, there were 32+33+29 = <<32+33+29=94>>94 officers on duty. After the operation, 21 officers were transferred, leaving 94-21 = <<94-21=73>>73 officers. After the addition of 22 officers, there were 73+22 = <<73+22=95>>95 officers. After the addition of 14 officers, there were 95+14 = <<95+14=109>>109 officers. ### Answer: 109
Expected answer: 109
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The distance between the Moon and the Earth changed by 36 - 19 + 11 = <<36-19+11=28>>28 million kilometers. The value is 28 * 19 - 27 = <<28*19-27=515>>515. ### Answer: 515
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?
Qwen2-Math 7B:
Reasoning: The first tiger covered a distance of 2*9 + 44 = <<2*9+44=62>>62 meters. The second tiger covered a distance of 23 + 46 - 62 = <<23+46-62=7>>7 meters. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: Continuing from the previous situation, after retracing the distance equal to the first tiger's steps and the leap, the second tiger then decides to run an additional 30 meters before making a 44-meter leap. How much total distance did the second tiger cover after all these movements?
Qwen2-Math 7B:
Reasoning: The second tiger covered a distance of 7 + 30 + 44 = <<7+30+44=81>>81 meters. ### Answer: 81
Expected answer: 81
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The total number of produced toothpaste tubes until Tuesday, inclusive, is calculated as follows: - Sunday's production: (26 * 7) + 8 = <<(26 * 7) + 8=190>>190 tubes - Monday's production: 190 + 31 = <<190 + 31=221>>221 tubes - Packaging: (50 - 19) = <<50 - 19=31>>31 boxes - Total produced tubes: 221 + 31 = <<221 + 31=252>>252 tubes - Tuesday's production: 252 + 48 = <<252 + 48=300>>300 tubes ### Answer: 300
Expected answer: 300
Correct? Yes
Problem: In the previous scenario, the toothpaste factory was producing 26 tubes of toothpaste every hour on Sundays. Now, consider a different Sunday where they changed their production to 22 tubes every hour instead, while still working for 7 hours and producing 8 additional tubes. They continue their production on Monday by adding an additional 31 tubes. With the same scenario in the packaging department, where they started with 50 boxes and used 19 of them leaving (50 - 19) boxes. The total number of toothpaste tubes ready for packaging is calculated by adding the packaged box number with Monday's production. If they produced an additional 48 tubes on Tuesday, how many tubes of toothpaste have they produced up till Tuesday now?
Qwen2-Math 7B:
Reasoning: The total number of produced toothpaste tubes until Tuesday, inclusive, is calculated as follows: - Sunday's new production: (22 * 7) + 8 = <<(22 * 7) + 8=162>>162 tubes - Monday's production: 162 + 31 = <<162 + 31=193>>193 tubes - Packaging: (50 - 19) = <<50 - 19=31>>31 boxes - Total produced tubes: 193 + 31 = <<193 + 31=224>>224 tubes - Tuesday's production: 224 + 48 = <<224 + 48=272>>272 tubes ### Answer: 272
Expected answer: 272
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The unicorn has 42+26 = <<42+26=68>>68 rainbow pebbles after finding more. The unicorn has 68+44 = <<68+44=112>>112 items after adding the dreamberries. The unicorn has 112+33 = <<112+33=145>>145 items after gathering more rainbow pebbles. The unicorn has 145+40 = <<145+40=185>>185 items after gathering the magical dandelions. The unicorn has 185-14 = <<185-14=171>>171 items after losing some. ### 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?
Qwen2-Math 7B:
Reasoning: The unicorn has 40+26 = <<40+26=66>>66 rainbow pebbles after finding more. The unicorn has 66+44 = <<66+44=110>>110 items after adding the dreamberries. The unicorn has 110+33 = <<110+33=143>>143 items after gathering more rainbow pebbles. The unicorn has 143+40 = <<143+40=183>>183 items after gathering the magical dandelions. The unicorn has 183-14 = <<183-14=169>>169 items after losing some. ### Answer: 169
Expected answer: 169
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The pirate captain initially had 23*28 = <<23*28=644>>644 jewels. After losing 40 jewels, he had 644-40 = <<644-40=604>>604 jewels. After finding 16 jewels, he had 604+16 = <<604+16=620>>620 jewels. ### Answer: 620
Expected answer: 620
Correct? Yes
Problem: Following the discovery of additional jewels, the pirate captain realized he had miscalculated the number of types of jewels in his original stash. Instead of 23 types of jewels, he remembered that he actually only had 17 types originally, with each type still containing 28 jewels. After recalculating his treasure and still taking into account the loss of 40 jewels and the 16 he found on a deserted island, how many jewels does he have now?
Qwen2-Math 7B:
Reasoning: The pirate captain initially had 17*28 = <<17*28=476>>476 jewels. After losing 40 jewels, he had 476-40 = <<476-40=436>>436 jewels. After finding 16 jewels, he had 436+16 = <<436+16=452>>452 jewels. ### Answer: 452
Expected answer: 452
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The star gains 4 more neutrons, so it has 38+4 = <<38+4=42>>42 neutrons. The total energy output is 42*18 = <<42*18=756>>756. During the explosion, the star releases an additional 6+25 = <<6+25=31>>31 units of energy. The total energy emitted by the star is 756+31 = <<756+31=787>>787. ### 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?
Qwen2-Math 7B:
Reasoning: The star gains 4 more neutrons, so it has 38+4 = <<38+4=42>>42 neutrons. The total energy output is 42*10 = <<42*10=420>>420. During the explosion, the star releases an additional 6+25 = <<6+25=31>>31 units of energy. The total energy emitted by the star is 420+31 = <<420+31=451>>451. ### Answer: 451
Expected answer: 451
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The gardener calculated the number of additional flowers as 37 * 5 - 18 = <<37*5-18=167>>167. After subtracting 10 flowers, he had 167 - 10 = <<167-10=157>>157 flowers. Adding his initial 13 sunflowers, he had a total of 157 + 13 = <<157+13=170>>170 flowers. For the orchids, he calculated the number of spots needed as 92 / 23 = <<92/23=4>>4. Adding the total number of plants and the spots needed, he had 170 + 4 = <<170+4=174>>174. Doubling that total, he ended up with 174 * 2 = <<174*2=348>>348. ### Answer: 348
Expected answer: 348
Correct? Yes
Problem: After all of his calculations and planting, the gardener discovered an error in his original calculations: instead of 37 times the number of petals on one sunflower, which is 5, it should have been 47 times the number of petals on one sunflower, minus 18. He corrected this mistake in his calculations, following the same steps as before, then doubled that total for no particular reason. How many did he end up with by using this new calculation?
Qwen2-Math 7B:
Reasoning: The gardener recalculated the number of additional flowers as 47 * 5 - 18 = <<47*5-18=217>>217. After subtracting 10 flowers, he had 217 - 10 = <<217-10=207>>207 flowers. Adding his initial 13 sunflowers, he had a total of 207 + 13 = <<207+13=220>>220 flowers. For the orchids, he calculated the number of spots needed as 92 / 23 = <<92/23=4>>4. Adding the total number of plants and the spots needed, he had 220 + 4 = <<220+4=224>>224. Doubling that total, he ended up with 224 * 2 = <<224*2=448>>448. ### Answer: 448
Expected answer: 448
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: 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?
Qwen2-Math 7B:
Reasoning: The total number of flies caught over the two days is the sum of the flies caught by the frogs and the flies caught by the toad. The total number of flies caught by the frogs over two days is 2*j = <<2*j=2*378=756>>756. The toad catches an additional 39 flies. Therefore, the total number of flies caught over the two days is 756+39 = <<756+39=795>>795. ### Answer: 795
Expected answer: 417
Correct? No
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?
Qwen2-Math 7B:
Reasoning: 46 frogs can catch 46*21 = <<46*21=966>>966 flies in a day. ### Answer: 966
Expected answer: 966
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The community center has 21+22 = <<21+22=43>>43 chairs in their main 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?
Qwen2-Math 7B:
Reasoning: The community center has 12+22 = <<12+22=34>>34 chairs in their main 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?
Qwen2-Math 7B:
Reasoning: There are 14+11+25 = <<14+11+25=50>>50 elephants in the park now. ### Answer: 50
Expected answer: 50
Correct? Yes
Problem: Unfortunately, due to unfortunate circumstances, 27 elephants had to be relocated to different parks over the course of the year. How many elephants are left in the park now?
Qwen2-Math 7B:
Reasoning: There are 50-27 = <<50-27=23>>23 elephants left in the park now. ### Answer: 23
Expected answer: 23
Correct? Yes
Problem: Suppose initially, there were 38 elephants in the conservation park instead of 14. If the park still received 11 new baby elephants and 25 more elephants from various rescues this year, how many elephants would there be in the park now?
Qwen2-Math 7B:
Reasoning: There would be 38+11+25 = <<38+11+25=74>>74 elephants in the park now. ### Answer: 74
Expected answer: 74
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The value of the first chest (g) is calculated as follows: (23+30-39)^2 - 37 = <<(23+30-39)^2-37=121>>121. The remaining number of rubies (x) is 540/45 - 3 = <<540/45-3=11>>11. The count (s) is 23+11-9 = <<23+11-9=25>>25. The value (m) of the remaining treasure is 121 - 11 - 25 = <<121-11-25=85>>85. ### Answer: 85
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?
Qwen2-Math 7B:
Reasoning: The new daily average is (504/14) = <<504/14=36>>36 sightings. 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) is 9-3 = <<9-3=6>>6. The number of sightings according to this calculation is 36*6 = <<36*6=216>>216. ### Answer: 216
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?
Qwen2-Math 7B:
Reasoning: The number of red patches needed for the design is 26*25 = <<26*25=650>>650. The difference between the green patches and the red patches needed for the design is 48*21 - 650 = <<48*21-650=338>>338. ### Answer: 338
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?
Qwen2-Math 7B:
Reasoning: The total number of baskets picked is 38+24+16+13 = <<38+24+16+13=81>>81 baskets. After giving away 35 baskets for lemonade, they have 81-35 = <<81-35=46>>46 baskets left. From these remaining baskets, they can get 46*14 = <<46*14=644>>644 bottles of lemonade. ### Answer: 644
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?
Qwen2-Math 7B:
Reasoning: Amy had 21-15 = <<21-15=6>>6 seashells remaining after giving some to her sister. The next day, she found 6+13 = <<6+13=19>>19 more seashells. She also found an additional 49 seashells, so she had 19+49 = <<19+49=68>>68 seashells in total. After giving 23 to her brother and 27 to her cousin, Amy has 68-23-27 = <<68-23-27=18>>18 seashells left. ### Answer: 18
Expected answer: 18
Correct? Yes
Problem: In the initial story, Amy found 21 seashells in the sandbox and gave 15 of them away. She then found another 13 seashells, more than what she had kept for herself from the prior day. Additionally, she found 49 more seashells. However, let's reconsider the story and change the part where Amy gave away 23 seashells to her brother. Instead, imagine that she gave away 32 seashells to her brother. If she still gave 27 seashells to her cousin after this, how many seashells does Amy have left now?
Qwen2-Math 7B:
Reasoning: Amy had 21-15 = <<21-15=6>>6 seashells remaining after giving some to her sister. The next day, she found 6+13 = <<6+13=19>>19 more seashells. She also found an additional 49 seashells, so she had 19+49 = <<19+49=68>>68 seashells in total. After giving 32 to her brother and 27 to her cousin, Amy has 68-32-27 = <<68-32-27=9>>9 seashells left. ### Answer: 9
Expected answer: 9
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: In the first round, Princess Anna added 7 and 10, which equals <<7+10=17>>17. In the second round, she subtracted 17 from 29, which equals <<29-17=12>>12, and then subtracted 8 more, which equals <<12-8=4>>4. In the final round, she added the results from the first and second round, which equals <<17+4=21>>21, and then multiplied the sum by the result from the second round, which equals <<21*4=84>>84. ### Answer: 84
Expected answer: 84
Correct? Yes
Problem: Following the princess' first game, her little sister, Princess Bella, wanted to join in with her own twist. Bella did as follows: In the first round, Bella copied Anna and added the same two numbers: 7 and 10 together. For the second round, sister Bella thought of the number 33. Just like Anna, She subtracted the result from the first round and then decreased it by 8. In the final round, Princess Bella, like Anna, added the results from the first and second round. Then, she multiplied the sum by the result from her modified second round. What was the final result of Princess Bella's game?
Qwen2-Math 7B:
Reasoning: In the first round, Princess Bella added 7 and 10, which equals <<7+10=17>>17. In the second round, she subtracted 17 from 33, which equals <<33-17=16>>16, and then subtracted 8 more, which equals <<16-8=8>>8. In the final round, she added the results from the first and second round, which equals <<17+8=25>>25, and then multiplied the sum by the result from the second round, which equals <<25*8=200>>200. ### Answer: 200
Expected answer: 200
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: Ellen had 15 dollars, and Sam had 48 dollars. Sam gave some money to Ellen, and after the transaction, Sam had as much money as Ellen originally had, which is 15 dollars. This means Sam gave Ellen 48 - 15 = <<48-15=33>>33 dollars. After giving Ellen 33 dollars, Sam had 15 dollars. Then, Sam got 24 dollars from his brother, so now Sam has 15 + 24 = <<15+24=39>>39 dollars. ### Answer: 39
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?
Qwen2-Math 7B:
Reasoning: The total length of the river and tributary is 33+19 = <<33+19=52>>52 kilometers. The inaccessible portion is 30 kilometers, so the length of the river that can be studied is 52-30 = <<52-30=22>>22 kilometers. ### Answer: 22
Expected answer: 22
Correct? Yes
Problem: After finishing the initial survey, the team of scientists received a special permit to investigate an additional stretch of the river 32 kilometers long that was previously off limits. In total, how many kilometers of the river were the scientists able to study?
Qwen2-Math 7B:
Reasoning: The total length of the river that can be studied is 22+32 = <<22+32=54>>54 kilometers. ### Answer: 54
Expected answer: 54
Correct? Yes
Problem: Suppose instead that the inaccessible portion of the river that the scientists were unable to study was 26 kilometers, not 30. How many kilometers of the river would they have been able to study under these conditions?
Qwen2-Math 7B:
Reasoning: The total length of the river and tributary is 33+19 = <<33+19=52>>52 kilometers. The inaccessible portion is 26 kilometers, so the length of the river that can be studied is 52-26 = <<52-26=26>>26 kilometers. ### Answer: 26
Expected answer: 26
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The first photographer took 34-19 = <<34-19=15>>15 shots after removing the out-of-focus ones. The first photographer took 15+21+23 = <<15+21+23=59>>59 shots in total. The second photographer took 880/40 = <<880/40=22>>22 shots after selecting every 40th shot. The total number of shots in their collections combined is 59+22 = <<59+22=81>>81. ### Answer: 81
Expected answer: 81
Correct? Yes
Problem: Recalling the photographers from the previous problems. Suppose the second photographer decided to select every 28th shot instead of every 40th shot for his collection from the large event where he took 880 shots. Now, what is the total number of shots in their collections combined after this modification?
Qwen2-Math 7B:
Reasoning: The second photographer now takes 880/28 = <<880/28=31.42857142857143>>31.42857142857143 shots, but since we can't have a fraction of a shot, we round down to 31 shots. The total number of shots in their collections combined is now 59+31 = <<59+31=90>>90. ### Answer: 90
Expected answer: 633/7
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?
Qwen2-Math 7B:
Reasoning: The pirate found 3*13 = <<3*13=39>>39 gold coins in the treasure chest. After spending 22 coins for the crew's rum, he had 39-22 = <<39-22=17>>17 gold coins left. After discovering another loot of 47 gold coins, he had 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?
Qwen2-Math 7B:
Reasoning: The pirate found 42*13 = <<42*13=546>>546 gold coins in the treasure chest. After spending 22 coins for the crew's rum, he had 546-22 = <<546-22=524>>524 gold coins left. After discovering another loot of 47 gold coins, he had 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?
Qwen2-Math 7B:
Reasoning: The hiker initially planned to travel for 36 days. After increasing his daily average to 16 miles, he reduced his remaining journey by 36 - 16 = <<36-16=20>>20 days. With the additional 4-day shortcut, he saved 20 + 4 = <<20+4=24>>24 days. The friendly traveller's advice saved him 4 more days, and good weather saved him 21 days. Therefore, the hiker saved a total of 24 + 4 + 40 + 21 = <<24+4+40+21=89>>89 days on his journey. ### Answer: 89
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?
Qwen2-Math 7B:
Reasoning: The company produces 33 pillows every hour. In a day, there are 24 hours. So, the total number of pillows produced in a day is 33*24 = <<33*24=792>>792. After accounting for the losses, the total number of pillows the company manufactured in a day is 792-43 = <<792-43=749>>749. ### Answer: 749
Expected answer: 749
Correct? Yes
Problem: The pillow manufacturing company decides to adjust their production rate to be consistent with worker shifts, producing 24 pillows every hour instead. However, they still incur 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?
Qwen2-Math 7B:
Reasoning: The company produces 24 pillows every hour. In a day, there are 24 hours. So, the total number of pillows produced in a day is 24*24 = <<24*24=576>>576. After accounting for the losses, the total number of pillows the company manufactured in a day is 576-43 = <<576-43=533>>533. ### Answer: 533
Expected answer: 533
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The other wing has 216 bricks, which is equivalent to 216/36 = <<216/36=6>>6 rooms. The total number of rooms in both wings is 5 + 6 = <<5+6=11>>11 rooms. ### 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?
Qwen2-Math 7B:
Reasoning: The total number of rooms is 5 (original) + 6 (from the second wing) + 9 (underground passage) = <<5+6+9=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?
Qwen2-Math 7B:
Reasoning: The other wing has 216 bricks, which is equivalent to 216/36 = <<216/36=6>>6 rooms. The new total number of rooms in the first wing is 35. The total number of rooms in both wings is 35 + 6 = <<35+6=41>>41 rooms. ### 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?
Qwen2-Math 7B:
Reasoning: The player initially scored 15 goals per match for 31 matches, which is 15*31 = <<15*31=465>>465 goals. Due to the error, 43 goals were deducted, leaving the player with 465-43 = <<465-43=422>>422 goals. After the error was rectified, 40 goals were awarded back, increasing the player's total to 422+40 = <<422+40=462>>462 goals. However, after a reevaluation, 26 goals were deducted again, leaving the player with 462-26 = <<462-26=436>>436 goals. ### 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?
Qwen2-Math 7B:
Reasoning: The player had a total of 436 goals, and the multiplier for the contest was 1. Therefore, the player's points in the contest would be 436 * 1 = <<436*1=436>>436 points. ### 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?
Qwen2-Math 7B:
Reasoning: Initially, there are 9 tanks with 49 fish each, so there are 9*49 = <<9*49=441>>441 fish in total. After relocating 5 fish, the new total number of fish is 441-5 = <<441-5=436>>436. ### 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?
Qwen2-Math 7B:
Reasoning: Initially, there are 9 tanks with 47 fish each, so there are 9*47 = <<9*47=423>>423 fish in total. After relocating 5 fish, the new total number of fish is 423-5 = <<423-5=418>>418. ### 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?
Qwen2-Math 7B:
Reasoning: Jeremy has 14-19 = <<14-19=-5>>-5 cards after discarding 19 cards. Jeremy has -5+32 = <<-5+32=27>>27 cards now. ### 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?
Qwen2-Math 7B:
Reasoning: Jeremy has 14-19+32 = <<14-19+32=27>>27 cards after discarding 19 cards and gaining 32 cards. Jeremy has 27+7 = <<27+7=34>>34 cards after being given 7 more cards. Jeremy has 34+12 = <<34+12=46>>46 cards after finding 12 more discarded cards. ### Answer: 46
Expected answer: 46
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: Jeremy has 14-19 = <<14-19=-5>>-5 cards after discarding 19 cards. Jeremy has -5+13 = <<-5+13=8>>8 cards now. ### 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?
Qwen2-Math 7B:
Reasoning: The first clock ticks 504/42 = <<504/42=12>>12 times per minute. After multiplying by 35 and subtracting 41, we get 12*35-41 = <<12*35-41=379>>379. The second clock ticks 279/31 = <<279/31=9>>9 times per minute. After adding 34, we get 9+34 = <<9+34=43>>43. Subtracting the second clock's rate from the first clock's manipulated rate gives us 379-43 = <<379-43=336>>336. ### 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?
Qwen2-Math 7B:
Reasoning: The first clock still ticks 12 times per minute. After multiplying by 35 and subtracting 41, we get 12*35-41 = <<12*35-41=379>>379. The second clock now ticks 279/2 = <<279/2=139.5>>139.5 times per minute. After adding 34, we get 139.5+34 = <<139.5+34=173.5>>173.5. Subtracting the second clock's rate from the first clock's manipulated rate gives us 379-173.5 = <<379-173.5=205.5>>205.5. ### 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?
Qwen2-Math 7B:
Reasoning: The rainfall on Wednesday was 39-6 = <<39-6=33>>33 cm. The rainfall on Thursday was 33-31 = <<33-31=2>>2 cm. ### Answer: 2
Expected answer: 2
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The revised number of UFO sightings from the previous month is 50-36 = <<50-36=14>>14. In the second month, the enthusiast reported seeing 41+14+5 = <<41+14+5=60>>60 UFOs. ### Answer: 60
Expected answer: 60
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: In the second game, the cat got 5^2 + 8 = <<5^2+8=33>>33 balls. In the third game, she ended with 25 * (45 - 33) = <<25*(45-33)=300>>300 balls. The cat has 300 balls now. ### Answer: 300
Expected answer: 300
Correct? Yes
Problem: Let's rethink the second game the cat played. Suppose that instead of intensifying her third game by multiplying the difference of the balls by 25, the cat only multiplied by 6. After playing her second game, where she got as many balls as the square of what she obtained in the first game (5 yarn balls) plus 8 more, she played her third game. This time around, she ended the game with a number of balls which is 6 times the difference between 45 and what she accumulated from the second game. How many yarn balls does the cat have now?
Qwen2-Math 7B:
Reasoning: In the second game, the cat got 5^2 + 8 = <<5^2+8=33>>33 balls. In the third game, she ended with 6 * (45 - 33) = <<6*(45-33)=72>>72 balls. The cat has 33 + 72 = <<33+72=105>>105 balls now. ### Answer: 105
Expected answer: 72
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?
Qwen2-Math 7B:
Reasoning: Initially, there are 41 balls in the basket. After removing 16 cricket balls, there are 41-16 = <<41-16=25>>25 tennis balls left. When 9 ping pong balls and 21 basketballs are added, the total number of balls becomes 25+9+21 = <<25+9+21=55>>55. ### Answer: 55
Expected answer: 55
Correct? Yes
Problem: Continuing from the first problem, reconsider the situation but this time, instead of adding 21 basketballs to the basket, you only add 2 basketballs after the 9 ping pong balls. How many balls are now in the basket?
Qwen2-Math 7B:
Reasoning: Initially, there are 41 balls in the basket. After removing 16 cricket balls, there are 41-16 = <<41-16=25>>25 tennis balls left. When 9 ping pong balls and 2 basketballs are added, the total number of balls becomes 25+9+2 = <<25+9+2=36>>36. ### Answer: 36
Expected answer: 36
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: Your friend needs 37 - 32 = <<37-32=5>>5 squares for the hours. They then added 42 to the result, which is 5 + 42 = <<5+42=47>>47 squares. Subtracting 37 from that total, they got 47 - 37 = <<47-37=10>>10 squares. Adding 25 more squares for the minutes, they had 10 + 25 = <<10+25=35>>35 squares. Adding another 28 squares for the seconds, they had 35 + 28 = <<35+28=63>>63 squares. Adding 41 to 25, they got 41 + 25 = <<41+25=66>>66 squares. Adding another 28, they had 66 + 28 = <<66+28=94>>94 squares. Adding 17 to the result, they got 94 + 17 = <<94+17=111>>111 squares. Finally, reducing the total number of squares by 23, they had 111 - 23 = <<111-23=88>>88 squares. Adding the number they figured out at the beginning (for hours) to this reduced number, they had 88 + 5 = <<88+5=93>>93 squares. ### Answer: 93
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?
Qwen2-Math 7B:
Reasoning: The farm produced 28*2 = <<28*2=56>>56 pounds of oranges in a single day due to the new method. The farm produced 56*15 = <<56*15=840>>840 pounds of oranges during the harvest period. The farm produced 840+16 = <<840+16=856>>856 pounds of oranges in total. ### Answer: 856
Expected answer: 856
Correct? Yes
Problem: Previously, the orange farm had been able to double its typical daily output of 28 pounds to increase its harvest yield. However, imagine what would have happened had the farm originally been producing a lesser daily output, such as 7 pounds. If they were still able to double this amount each day of the 15-day harvest period and added the same 16 pounds of the rare orange variant to their yield, how much would the farm have produced in that case?
Qwen2-Math 7B:
Reasoning: The farm would have produced 7*2 = <<7*2=14>>14 pounds of oranges in a single day. The farm would have produced 14*15 = <<14*15=210>>210 pounds of oranges during the harvest period. The farm would have produced 210+16 = <<210+16=226>>226 pounds of oranges in total. ### Answer: 226
Expected answer: 226
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The number of passengers before the last stop is 37+20 = <<37+20=57>>57. The number of passengers after the last stop is 57-44 = <<57-44=13>>13. The total fare is 13*11 = <<13*11=143>>143. The revenue is 143-14 = <<143-14=129>>129. ### Answer: 129
Expected answer: 129
Correct? Yes
Problem: Following the previously described bus ride, where, after passengers got on and off, the company collected fare from each remaining passenger and deducted a $14 service fee, the company then had to pay a $23 parking fee for the bus at the end of the day. After all these expenses, how much revenue does the bus company have now?
Qwen2-Math 7B:
Reasoning: The revenue after the service fee is 129-23 = <<129-23=106>>106. ### Answer: 106
Expected answer: 106
Correct? Yes
Problem: Suppose we revisit the scenario of the bus ride. This time, imagine that instead of 37 passengers initially on the bus, there were only 28 passengers. Then, the bus picked up 20 more passengers at the next stop, but 44 passengers get off before the next stop. The remaining passengers each pay a bus fare of $11, but the company also deducts a $14 service fee from the total fares. How much revenue does the bus company get in this situation?
Qwen2-Math 7B:
Reasoning: The number of passengers before the last stop is 28+20 = <<28+20=48>>48. The number of passengers after the last stop is 48-44 = <<48-44=4>>4. The total fare is 4*11 = <<4*11=44>>44. The revenue is 44-14 = <<44-14=30>>30. ### Answer: 30
Expected answer: 30
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The pirate had 13+42+19 = <<13+42+19=74>>74 precious gems in total. The pirate had 74-43 = <<74-43=31>>31 gems left. ### Answer: 31
Expected answer: 31
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The reserve initially has 16 ginger giraffes. They bring in the same number of golden giraffes as ginger ones, which is <<16=16>>16. Later, they add another group of 46 greyish giraffes. The total number of giraffes in the reserve now is <<16+16+46=78>>78. ### Answer: 78
Expected answer: 78
Correct? Yes
Problem: After successfully populating the reserve with various giraffes, unfortunately, 2 of the greyish giraffes suddenly moved out of the reserve. How many giraffes are there now in the reserve after the 2 greyish giraffes left?
Qwen2-Math 7B:
Reasoning: The reserve initially had 78 giraffes. After 2 greyish giraffes moved out, the number of giraffes in the reserve is <<78-2=76>>76. ### Answer: 76
Expected answer: 76
Correct? Yes
Problem: Let's reconsider the original scenario where the reserve started with ginger giraffes. But this time assume that the reserve initially had 42 ginger giraffes instead of 16. They again brought in the same number of golden giraffes as the ginger ones. Later, they decided to add another group of 46 greyish giraffes. What would be the total number of giraffes in the reserve now under this new scenario?
Qwen2-Math 7B:
Reasoning: The reserve initially has 42 ginger giraffes. They bring in the same number of golden giraffes as ginger ones, which is <<42=42>>42. Later, they add another group of 46 greyish giraffes. The total number of giraffes in the reserve now is <<42+42+46=130>>130. ### Answer: 130
Expected answer: 130
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The turtle swam 11+10 = <<11+10=21>>21 leagues. The turtle swam 21*16 = <<21*16=336>>336 leagues that week. The turtle over calculated the distance by 41 leagues, so the real distance it swam that week is 336-41 = <<336-41=295>>295 leagues. ### Answer: 295
Expected answer: 295
Correct? Yes
Problem: Continuing from the previous scenario, consider that the turtle realizes that it originally miscalculated the daily travel distance. Instead of swimming 11 leagues plus 10 a day, it actually swam 11 leagues plus 17 leagues a day. After multiplying that daily total by 16 for the week, and subtracting the over-calculated 41 leagues, how much did the turtle actually swim in the originally estimated week?
Qwen2-Math 7B:
Reasoning: The turtle swam 11+17 = <<11+17=28>>28 leagues a day. The turtle swam 28*16 = <<28*16=448>>448 leagues that week. The turtle over calculated the distance by 41 leagues, so the actual distance it swam that week is 448-41 = <<448-41=407>>407 leagues. ### Answer: 407
Expected answer: 407
Correct? Yes