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?
DeepSeek 67B:
Reasoning: The number of words per line is 162/18 = <<162/18=9>>9 words per line. Adding the refrain of 34 words to each line, 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.
DeepSeek 67B:
Reasoning: The number of words per line is 9 words per line. Adding the refrain of 34 words to each line, the total number of words per line is 9+34 = 43 words. Adding the extra refrain of 39 words to each verse, the total number of words per verse is 162+39 = 201 words. The number of words per line after the final addition is 201/18 = <<201/18=11.166666666666666>>11.166666666666666 words. ### Answer: 11.166666666666666
Expected answer: 82
Correct? No
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?
DeepSeek 67B:
Reasoning: The number of words per line is 162/18 = <<162/18=9>>9 words per line. Adding the refrain of 28 words to each line, the total number of words per line is 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?
DeepSeek 67B:
Reasoning: The biologist counted 35 penguins on the first ice floe. The second group of penguins was divided evenly among 26 ice floes, so there were 598/26 = <<598/26=23>>23 penguins on each ice floe. The penguin population on the first ice floe increased by 49, so there were 35+49 = <<35+49=84>>84 penguins on the first ice floe. The biologist decided to take 33 more penguins into account, but then realized she had overestimated and had to subtract 10, so she added 33-10 = <<33-10=23>>23 penguins to her count. The biologist also added the penguins she'd left at her base camp, which were 20 adults and 14 chicks, so she added 20+14 = <<20+14=34>>34 penguins to her count. In total, the biologist counted 35+23*26+84+23+34 = <<35+23*26+84+23+34=1000>>1000 penguins. ### Answer: 1000
Expected answer: 164
Correct? No
Problem: In a local park, a jungle gym has a total of 27 steps. If the top 19 steps are blue and rest along with another 19 steps are red, we get a certain number of colored steps. On another jungle gym, there are 34 green steps. What is the total number of colored steps on the two jungle gyms?
DeepSeek 67B:
Reasoning: On the first jungle gym, there are 19 blue steps and 19 red steps, so there are 19+19 = <<19+19=38>>38 colored steps. On the second jungle gym, there are 34 green steps. Therefore, 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?
DeepSeek 67B:
Let's break down the problem step by step: 1. Subtract 22 from the average rainfall of the typical cloud per hour: 775 millimeters / 31 hours = 25 millimeters per hour 25 - 22 = 3 millimeters per hour 2. Multiply this by 23: 3 millimeters per hour * 23 hours = 69 millimeters 3. Add this result to a constant cloud factor of 42: 69 millimeters + 42 = 111 millimeters 4. Add this new result to the hourly rainfall of the initial cloud: 111 millimeters + 47 millimeters = 158 millimeters 5. Subtract 2 from it: 158 millimeters - 2 = 156 millimeters The resultant millimeters of rainfall is 156 millimeters.
Expected answer: 156
Correct? Yes
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?
DeepSeek 67B:
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?
DeepSeek 67B:
Reasoning: Nadia's new morning practice time is 26 minutes. Her afternoon and evening sessions remain at 35 minutes each. So, Nadia's total practice time for the day is 26+35+35 = <<26+35+35=96>>96 minutes. ### 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?
DeepSeek 67B:
Reasoning: The store reduces the price by a factor of 465/31. So, the price of a dress during the flash sale is $44 * (31/465). Calculating the price: $44 * (31/465) = $44 * 0.066967 = $2.93 During the flash sale, a dress costs $2.93.
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?
DeepSeek 67B:
Reasoning: On Tuesday, the rope maker made 46 + 19 = <<46+19=65>>65 meters of rope. In total, he made 46 + 65 = <<46+65=111>>111 meters of rope on Monday and Tuesday. After Wednesday, 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?
DeepSeek 67B:
Reasoning: Juliana bought 16 pairs of earrings, and each pair costs $2, so she spent 16 * $2 = $<<16*2=32>>32 on earrings. She also bought a jewelry box for $25 and paid $48 for gift wrapping, so she spent $25 + $48 = $<<25+48=73>>73 on the box and wrapping. In total, Juliana spent $32 + $73 = $<<32+73=105>>105 on her gift. ### Answer: 105
Expected answer: 105
Correct? Yes
Problem: If Emma takes 60 beads and divides them equally among 3 of her friends, each friend will get a certain number of beads. She then adds 4 more beads to each friend's pile to start making necklaces. How many beads does each friend have now?
DeepSeek 67B:
Reasoning: Emma has 60 beads and she wants to divide them equally among 3 friends. So, each friend will get 60/3 = <<60/3=20>>20 beads. Emma then adds 4 more beads to each friend's pile, so each friend now 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?
DeepSeek 67B:
Reasoning: Emma has 60 beads and she wants to divide them equally among 28 friends. So, each friend will get 60/28 = <<60/28=2.1428571428571427>>2.1428571428571427 beads. Since we can't have a fraction of a bead, Emma will have to round up or down to the nearest whole number. In this case, she can round up to 3 beads per friend, which means she will have 28 friends x 3 beads = <<28*3=84>>84 beads distributed. Emma then adds 4 more beads to each friend's pile, so each friend now has 3+4 = <<3+4=7>>7 beads. ### Answer: 7
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?
DeepSeek 67B:
Reasoning: The boy started with 37 straws, removed 4, and then removed another 23, so he had 37 - 4 - 23 = <<37-4-23=10>>10 straws left. He multiplied the remaining number of straws by 45, so he had 10 * 45 = <<10*45=450>>450 straws. He subtracted 49 from that total, so he had 450 - 49 = <<450-49=401>>401 straws. He took out 7 more straws, so he had 401 - 7 = <<401-7=394>>394 straws left. The answer is: 394
Expected answer: 394
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?
DeepSeek 67B:
Reasoning: There were 2 trips, and each trip saw 2 animals, so there were 2*2 = <<2*2=4>>4 animals seen in total. Each animal had 3 baby animals, so there were 4*3 = <<4*3=12>>12 baby animals seen in total. The total number of animals seen was 4+12 = <<4+12=16>>16. Each animal could be photographed 21 times, so the total number of photos taken was 16*21 = <<16*21=336>>336. However, 34 photos were spoiled, so the number of usable photos was 336-34 = <<336-34=302>>302. Guests were given the opportunity to take an additional 30 photos, so the total number of usable photos was 302+30 = <<302+30=332>>332. The answer is: 332
Expected answer: 248
Correct? No
Problem: In a literacy event, a group of learners were asked to write a word from letters. In the first round, they could form a word with 47 letters, but due to a mistake, they had to remove 30 letters. Then, they figured out they could still add 10 more letters to this word. In the next round, they removed 3 of these letters from the updated word. How many letters were there in the word after this last deletion?
DeepSeek 67B:
Reasoning: In the first round, the learners had 47 letters. They removed 30 letters, so they had 47 - 30 = <<47-30=17>>17 letters left. Then, they added 10 more letters, so they had 17 + 10 = <<17+10=27>>27 letters. In the next round, they removed 3 letters, so they had 27 - 3 = <<27-3=24>>24 letters left. The answer is: 24
Expected answer: 24
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?
DeepSeek 67B:
Reasoning: Tommy's initial speed is 74/37 miles per hour. If he slows down by 3 mph, his speed becomes 74/37 - 3 = 47/37 miles per hour. If he speeds up to his initial speed again, his speed becomes 74/37 miles per hour. To find his average speed, we need to consider the time he spends at each speed. Let's assume he spends equal time at each speed. Let's denote the time he spends at each speed as t. The distance he travels at his initial speed is 74/37 * t = 74t/37. The distance he travels at his slowed-down speed is 47/37 * t = 47t/37. The total distance he travels is 74t/37 + 47t/37 = 121t/37. The total time he spends is 2t. Therefore, his average speed is 121t/37 / 2t = 121/74 miles per hour. ### Answer: 121/74
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?
DeepSeek 67B:
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?
DeepSeek 67B:
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?
DeepSeek 67B:
Reasoning: Liam would have 38*16 = <<38*16=608>>608 building blocks in total. ### Answer: 608
Expected answer: 608
Correct? Yes
Problem: John has 24 pencils. Then he bought more such that the number of pencils he has now is equal to the number of what he had plus 7. How many pencils does John have now?
DeepSeek 67B:
Reasoning: Let x be the number of pencils John bought. The number of pencils John has now is 24 + x. According to the problem, the number of pencils John has now is equal to the number of what he had plus 7, so we can write the equation: 24 + x = 24 + 7 Solving for x, we get: x = 7 Therefore, John bought 7 pencils and now has 24 + 7 = <<24+7=31>>31 pencils. ### 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?
DeepSeek 67B:
Reasoning: John initially had 31 pencils. He received an additional 26 pencils, so the total number of pencils he has now is 31 + 26 = <<31+26=57>>57 pencils. ### 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?
DeepSeek 67B:
Reasoning: Let x be the number of pencils John bought. The number of pencils John has now is 2 + x. According to the problem, the number of pencils John has now is equal to the number of pencils he had plus 7, so we can write the equation: 2 + x = 2 + 7 Solving for x, we get: x = 7 Therefore, John bought 7 pencils and now has 2 + 7 = <<2+7=9>>9 pencils. ### 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?
DeepSeek 67B:
Reasoning: The remaining snowfall days in City A is 50 - 36 = <<50-36=14>>14 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 14 * 7 = <<14*7=98>>98 inches. The amount of snow removed in City A is 7 inches. The amount of snow left in City A is 98 - 7 = <<98-7=91>>91 inches. ### Answer: 91
Expected answer: 91
Correct? Yes
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?
DeepSeek 67B:
Reasoning: The pirate found 28 rubies on the first day. On the second day, he found 28 + 21 = <<28+21=49>>49 rubies. In total, the pirate has 28 + 49 = <<28+49=77>>77 rubies 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?
DeepSeek 67B:
Reasoning: The pirate had 77 rubies after the second day. He found 29 more rubies in the third treasure chest, so he had 77 + 29 = <<77+29=106>>106 rubies. However, he lost 36 rubies while escaping, so he now has 106 - 36 = <<106-36=70>>70 rubies. ### 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?
DeepSeek 67B:
Reasoning: The pirate found 6 rubies on the first day. On the second day, he found 6 + 21 = <<6+21=27>>27 rubies. In total, the pirate has 6 + 27 = <<6+27=33>>33 rubies 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?
DeepSeek 67B:
Reasoning: In January, there were 47 inches of snowfall. In early February, there was an additional 7 inches of snowfall. On February 15th, there was an additional 17 inches of snowfall. In March, there were 48 inches of snowfall. In April, there was an additional 31 inches of snowfall early on. By the end of April, 27 inches of snow melted. To find the total inches of snow at the end of April, we add up all the snowfall and subtract the melted snow: Total snowfall = 47 + 7 + 17 + 48 + 31 = <<47+7+17+48+31=151>>151 inches Melted snow = 27 inches Total inches of snow at the end of April = 151 - 27 = <<151-27=124>>124 inches ### Answer: 124
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?
DeepSeek 67B:
Reasoning: The vendor sold 46 balloons every hour for 11 hours, so he sold 46*11 = <<46*11=506>>506 balloons during the fair. After the fair, he sold an additional 31 balloons, so in total, he 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?
DeepSeek 67B:
Reasoning: In the first game, Mary scored 31 points and John scored 39 points, so their combined score was 31+39 = <<31+39=70>>70 points. In the second game, their combined score increased by 35 more points, so their new combined score was 70+35 = <<70+35=105>>105 points. During the special round, they could multiply their score by the difference between 27 and the number of cards left in the deck, which was 23. So, the difference was 27-23 = <<27-23=4>>4. Their final score in the special round was 105*4 = <<105*4=420>>420 points. ### Answer: 420
Expected answer: 420
Correct? Yes
Problem: After the special round in their card game, Mary and John discovered two extra points they hadn't accounted for earlier. After adding these extra points to their score, what was their final combined score?
DeepSeek 67B:
Reasoning: After the special round, Mary and John had a combined score of 420 points. They discovered two extra points they hadn't accounted for earlier, so their new combined score was 420+2 = <<420+2=422>>422 points. ### Answer: 422
Expected answer: 422
Correct? Yes
Problem: Given the same card game situation, suppose that in the second game, Mary and Johnβs combined score increased by 50 points instead of 35. Following the same rule in their special round, where they multiplied their score by the difference between 27 and the number of cards left in the deck (which was 23), what would their final score be in this case?
DeepSeek 67B:
Reasoning: In the first game, Mary scored 31 points and John scored 39 points, so their combined score was 31+39 = <<31+39=70>>70 points. In the second game, their combined score increased by 50 more points, so their new combined score was 70+50 = <<70+50=120>>120 points. During the special round, they could multiply their score by the difference between 27 and the number of cards left in the deck, which was 23. So, the difference was 27-23 = <<27-23=4>>4. Their final score in the special round was 120*4 = <<120*4=480>>480 points. ### Answer: 480
Expected answer: 480
Correct? Yes
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?
DeepSeek 67B:
Reasoning: The company produced 17+18 = <<17+18=35>>35 chairs in the morning. They produced another 29 chairs in the afternoon, so they had 35+29 = <<35+29=64>>64 chairs. They repeated this production in the evening, so they had 64+64 = <<64+64=128>>128 chairs. They gave away 48 chairs to charity and used 7 chairs for quality testing, so they had 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?
DeepSeek 67B:
Reasoning: The company produced 17+15 = <<17+15=32>>32 chairs in the morning. They produced another 29 chairs in the afternoon, so they had 32+29 = <<32+29=61>>61 chairs. They repeated this production in the evening, so they had 61+61 = <<61+61=122>>122 chairs. They gave away 48 chairs to charity and used 7 chairs for quality testing, so they had 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?
DeepSeek 67B:
Reasoning: The popular jungle gym has 46 monkey bars + 18 swinging ropes = <<46+18=64>>64 play components. The new jungle gym has 2 extra long zip lines + 20 regular zip lines = <<2+20=22>>22 zip lines. Each zip line requires 31 special hooks, so the new jungle gym requires 22 zip lines * 31 hooks = <<22*31=682>>682 hooks. The new jungle gym requires 682 hooks - 64 play components = <<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?
DeepSeek 67B:
Reasoning: John has $168 and he divides it evenly between 21 days, so he has $168/21 = $8 per day. After 21 days, John has $8 x 21 = $168. John then gets an additional $47 from his job, so he has $168 + $47 = $215. John then receives another amount of money which is the sum of $12 and $45, so he has $215 + ($12 + $45) = $215 + $57 = $272. ### Answer: 272
Expected answer: 112
Correct? No
Problem: A robot can stack 32 boxes in 1 minute. If it works non-stop for 4 minutes and then picks up 1 extra box, how many boxes will this robot have stacked in total?
DeepSeek 67B:
Reasoning: The robot can stack 32 boxes in 1 minute, so in 4 minutes it can stack 32*4 = <<32*4=128>>128 boxes. If it picks up 1 extra box, the total number of boxes stacked will be 128+1 = <<128+1=129>>129 boxes. ### Answer: 129
Expected answer: 129
Correct? Yes
Problem: After stacking boxes for 4 minutes, the robot takes a break. When it comes back, it accidentally knocks over 21 of the boxes. How many boxes remain stacked after the robot knocks some over?
DeepSeek 67B:
Reasoning: The robot stacked 129 boxes in total. If it knocks over 21 boxes, then the number of boxes remaining stacked is 129-21 = <<129-21=108>>108 boxes. ### 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?
DeepSeek 67B:
Reasoning: The robot can stack 32 boxes in 1 minute, so in 4 minutes it can stack 32*4 = <<32*4=128>>128 boxes. If it picks up 11 extra boxes, the total number of boxes stacked will be 128+11 = <<128+11=139>>139 boxes. ### Answer: 139
Expected answer: 139
Correct? Yes
Problem: A female tiger gave birth to 26 cubs in all her lifetime. Unfortunately, 17 of them did not survive the harsh conditions of the wild. However, after growing up, 6 of the surviving tigers moved to other territories. How many tigers remained in the female tiger's territory?
DeepSeek 67B:
Reasoning: The female tiger gave birth to 26 cubs, but 17 of them did not survive, so there were 26-17 = <<26-17=9>>9 surviving tigers. Out of the surviving tigers, 6 moved to other territories, so there were 9-6 = <<9-6=3>>3 tigers remaining 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?
DeepSeek 67B:
Reasoning: The female tiger gave birth to 24 cubs, but 17 of them did not survive, so there were 24-17 = <<24-17=7>>7 surviving tigers. Out of the surviving tigers, 6 moved to other territories, so there were 7-6 = <<7-6=1>>1 tiger remaining 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?
DeepSeek 67B:
Reasoning: The colony originally had 44 penguins. 39 new penguins joined, so the total became 44+39 = <<44+39=83>>83 penguins. 16 penguins left, so the total became 83-16 = <<83-16=67>>67 penguins. 35 new penguins joined, so the total became 67+35 = <<67+35=102>>102 penguins. ### 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?
DeepSeek 67B:
Reasoning: The colony originally had 44 penguins. 39 new penguins joined, so the total became 44+39 = <<44+39=83>>83 penguins. 16 penguins left, so the total became 83-16 = <<83-16=67>>67 penguins. 12 new penguins joined, so the total became 67+12 = <<67+12=79>>79 penguins. ### 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?
DeepSeek 67B:
Reasoning: The helicopter's increased speed is 10+40+20 = <<10+40+20=70>>70 miles per minute. The helicopter will travel 70*12 = <<70*12=840>>840 miles in 12 minutes at this increased speed. ### 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?
DeepSeek 67B:
Reasoning: The helicopter's revised speed is 10+2+20 = <<10+2+20=32>>32 miles per minute. The helicopter will travel 32*12 = <<32*12=384>>384 miles in 12 minutes at this revised speed. ### 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?
DeepSeek 67B:
Reasoning: The new telescope has a magnification power of 26, and the required magnification strength is 41. The difference in magnification strength is 41 - 26 = <<41-26=15>>15. ### 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?
DeepSeek 67B:
Reasoning: The existing telescope has a magnification power of 16, and the required magnification strength is 41. The difference in magnification strength is 41 - 16 = <<41-16=25>>25. ### 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?
DeepSeek 67B:
Reasoning: Sophie earned $18 x 2 = $<<18*2=36>>36 on Monday. After buying the ice cream and coffee, she had $36 - $4 - $4 = $<<36-4-4=28>>28 left. She added the $28 to her next hour's pay, so she earned $18 + $28 = $<<18+28=46>>46 for that hour. After her grandmother's bonus, she had $46 + $45 = $<<46+45=91>>91 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?
DeepSeek 67B:
Reasoning: Sophie earned $5 x 2 = $<<5*2=10>>10 on Monday. After buying the ice cream and coffee, she had $10 - $4 - $4 = $<<10-4-4=2>>2 left. She added the $2 to her next hour's pay, so she earned $5 + $2 = $<<5+2=7>>7 for that hour. After her grandmother's bonus, she had $7 + $45 = $<<7+45=52>>52 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?
DeepSeek 67B:
Reasoning: The company initially had 30 beach towels + 6 hand towels = <<30+6=36>>36 towels. They gave away 7 towels for charity, so they had 36 - 7 = <<36-7=29>>29 towels left. They then produced 14 more towels, so they had 29 + 14 = <<29+14=43>>43 towels. They made a special batch of 13 towels for every towel left after their charity activity, so they made 29 * 13 = <<29*13=377>>377 towels. They deducted 19 towels from this special batch, so they had 377 - 19 = <<377-19=358>>358 towels. They then noted 20 towels were damaged and removed it from this premium collection, so they had 358 - 20 = <<358-20=338>>338 towels. They deducted 3 more towels from the remaining premium collection, so they had 338 - 3 = <<338-3=335>>335 towels. They combined it with the total they had after their second batch of production, so they had 335 + 43 = <<335+43=378>>378 towels. The company now has 378 towels.
Expected answer: 378
Correct? Yes
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?
DeepSeek 67B:
Reasoning: The extraterrestrial being has 50 energy crystals and will get 20 more, so they'll have 50+20 = <<50+20=70>>70 energy crystals. The zorbcraft's compartment already has 50 energy crystals and 6 lumino-gems, so there are 50+6 = <<50+6=56>>56 items in the compartment. When the extraterrestrial being adds the 70 energy crystals to the compartment, there will be 70+56 = <<70+56=126>>126 items in total. ### Answer: 126
Expected answer: 126
Correct? Yes
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?
DeepSeek 67B:
Reasoning: The number of Velociraptors is 43. The number of new dinosaur types added is 972/27 = <<972/27=36>>36. The difference between the number of Velociraptors and the number of new dinosaur types added is 43 - 36 = <<43-36=7>>7. The number of eggs laid by the Velociraptors is 7 * 7 = <<7*7=49>>49. The answer is: 49
Expected answer: 49
Correct? Yes
Problem: There is a bowl containing 46 oranges. After Maria took 16 oranges from that bowl, how many oranges are left?
DeepSeek 67B:
Reasoning: Maria took 46-16 = <<46-16=30>>30 oranges from the bowl. There are 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?
DeepSeek 67B:
Reasoning: Maria took 16 oranges from the bowl, which initially had 49 oranges. 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?
DeepSeek 67B:
Reasoning: The factory produces 37 toothbrushes per minute at the start of its morning shift. The factory increases its production rate to 308 toothbrushes every 7 minutes. If this increased rate of production continued for 16 minutes, we need to find out how many sets of 7 minutes are there in 16 minutes. There are 16/7 = 2.2857 sets of 7 minutes in 16 minutes. Since we can't have a fraction of a set, we'll round down to the nearest whole number, which is 2 sets. So, the factory produced 308 toothbrushes per set for 2 sets, which is 308 * 2 = 616 toothbrushes. In addition to the toothbrushes produced at the start of the morning shift, the total number of toothbrushes produced is 37 + 616 = 653 toothbrushes. ### Answer: 653
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.
DeepSeek 67B:
Reasoning: The number of telescopes in the research laboratory at the end of the sixth month is the sum of the initial number of telescopes and the number of telescopes added in each month. Initial number of telescopes = 39 Number of telescopes added in the first month = 7 Number of telescopes added in the second month = 17 Number of telescopes added in the third month = 12 Number of telescopes added in the fourth month = 18 Number of telescopes added in the fifth month = 39 Number of telescopes added in the sixth month = 19 Total number of telescopes at the end of the sixth month = 39 + 7 + 17 + 12 + 18 + 39 + 19 = 142 ### Answer: 142
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?
DeepSeek 67B:
Reasoning: The initial number of utensils on the table was 20 forks + 23 knives = <<20+23=43>>43 utensils. The number of utensils added later was 28 sets * 26 utensils/set = <<28*26=728>>728 utensils. The total number of utensils expected on the table was 43 initial utensils + 728 added utensils = <<43+728=771>>771 utensils. However, there were 7 more utensils than expected, so the actual number of utensils on the table was 771 expected utensils + 7 extra utensils = <<771+7=778>>778 utensils. There were 46 missing utensils, so the final number of utensils on the table was 778 actual utensils - 46 missing utensils = <<778-46=732>>732 utensils. The answer is: 732
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?
DeepSeek 67B:
Reasoning: The unicorn had 50+36 = <<50+36=86>>86 roses in her garden. 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?
DeepSeek 67B:
Reasoning: The unicorn had 61 roses left in her garden after the storm. After planting 41 more pink roses, 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?
DeepSeek 67B:
Reasoning: The unicorn would have had 50+38 = <<50+38=88>>88 roses in her garden. 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?
DeepSeek 67B:
Reasoning: The factory produces 100 bottles every hour. Half of the hourly production is sent to one warehouse, so 100/2 = <<100/2=50>>50 bottles are sent to the first warehouse. At another location, triple the amount sent to the first warehouse was marked for shipping, so 50*3 = <<50*3=150>>150 bottles were marked for shipping. An additional 29 bottles were added to this shipment, so the total number of bottles marked for shipping is 150+29 = <<150+29=179>>179 bottles. By the end of the day, 28 more bottles were added to this shipment, so the final total number of bottles marked for shipping is 179+28 = <<179+28=207>>207 bottles. The answer is: 207
Expected answer: 207
Correct? Yes
Problem: The height of a window frame is calculated as the sum of 925 divided by 37 and 26 inches. The width of the window is 11 inches greater than the height. The circumference of the window is calculated as the sum of twice the width and the height. Finally the size of the glass for the window is calculated by subtracting 32 from the circumference. Find the size of the glass required for the window?
DeepSeek 67B:
Reasoning: 1. First, we need to find the height of the window frame. 2. Then, we need to find the width of the window. 3. Next, we need to find the circumference of the window. 4. Finally, we need to find the size of the glass required for the window. Let's solve the problem step by step: 1. Height of the window frame = (925/37) + 26 2. Width of the window = Height + 11 3. Circumference of the window = 2 * Width + Height 4. Size of the glass = Circumference - 32 Now, let's calculate the values: 1. Height of the window frame = (925/37) + 26 = 25 + 26 = 51 inches 2. Width of the window = 51 + 11 = 62 inches 3. Circumference of the window = 2 * 62 + 51 = 124 + 51 = 175 inches 4. Size of the glass = 175 - 32 = 143 inches So, the size of the glass required for the window is 143 inches.
Expected answer: 143
Correct? Yes
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?
DeepSeek 67B:
Reasoning: The pirate divides the gold coins amongst his crew of 9, so each crew member gets 135/9 = <<135/9=15>>15 gold coins. He divides the emeralds amongst his crew of 19, so each crew member gets 323/19 = <<323/19=17>>17 emeralds. The pirate then multiplies these two shares to find out the total share per crew member, which is 15*17 = <<15*17=255>>255. However, he later realizes he has overcounted the share by 14, so 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?
DeepSeek 67B:
Reasoning: First, we need to find the weight of one piece of chocolate. Since each bar weighs 176 grams and is divided into 8 pieces, each piece weighs 176/8 = 22 grams. For the second batch of chocolates, the total weight of ingredients is 38 grams of cocoa - 22 grams of one piece + 26 grams of sugar = 42 grams. For the third batch of chocolates, the total weight of ingredients is 38 grams of cocoa + 18 grams of milk = 56 grams. The difference in the total weight of ingredients between the second and third batch of chocolates is 56 grams - 42 grams = 14 grams. ### Answer: 14
Expected answer: 14
Correct? Yes
Problem: Continuing from the original problem, the chocolatier decides to reduce the amount of sugar in his special recipe. Initially, he was adding 26 grams of sugar but now, he's decided to only add 6 grams. How does this change in sugar affect the difference in the total weight of ingredients between the second (now modified) and third batch of chocolates?
DeepSeek 67B:
Reasoning: For the second batch of chocolates, the total weight of ingredients is now 38 grams of cocoa - 22 grams of one piece + 6 grams of sugar = 22 grams. The difference in the total weight of ingredients between the second (now modified) and third batch of chocolates is 56 grams - 22 grams = 34 grams. ### Answer: 34
Expected answer: 34
Correct? Yes
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?
DeepSeek 67B:
Reasoning: Jenny has 9 red colored pencils. The number of green colored pencils she has is 38 - 9 = <<38-9=29>>29. The total number of times she used all her pencils is the product of the number of green and red pencils she has, which 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?
DeepSeek 67B:
Reasoning: Jenny used her blue colored pencils an equivalent number of times to the sum of 31 and 16, which is 31 + 16 = <<31+16=47>>47. 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, which is 47 + 261 = <<47+261=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?
DeepSeek 67B:
Reasoning: Jenny now has 12 red colored pencils. The number of green colored pencils she has is 38 - 12 = <<38-12=26>>26. The total number of times she used all her pencils is the product of the number of green and red pencils she has, which 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?
DeepSeek 67B:
Reasoning: Each transistor has 16 connections, and there are 17 transistors in the robot. So, the standard number of connections in the robot is 17 * 16 = <<17*16=272>>272 connections. The robot was made with one less connection than standard, so it has 272 - 1 = <<272-1=271>>271 connections. To compensate for the mistake, 41 extra connections were added, so the total number of connections in the strangely built robot is 271 + 41 = <<271+41=312>>312 connections. ### Answer: 312
Expected answer: 312
Correct? Yes
Problem: In the assembly line, another robot was produced similar to the first. However, this time instead of adding an additional 41 connections to compensate for the one lost, the production team decided to add only 13 additional connections. How many connections does this robot have now?
DeepSeek 67B:
Reasoning: The standard number of connections in the robot is 17 * 16 = <<17*16=272>>272 connections. The robot was made with one less connection than standard, so it has 272 - 1 = <<272-1=271>>271 connections. To compensate for the mistake, 13 extra connections were added, so the total number of connections in the robot is 271 + 13 = <<271+13=284>>284 connections. ### Answer: 284
Expected answer: 284
Correct? Yes
Problem: At the local jungle gym, during busy hours, there are usually 24 kids climbing on each of the 31 different attractions. One rainy day, however, there were only 6 kids in total! If you subtract the number of kids on the rainy day from the usual busy day, and then further subtract 12 (the number of squirrels scampering around), how many kids will you have counted in total?
DeepSeek 67B:
Reasoning: On a busy day, there are 24 kids on each of the 31 attractions, so there are 24*31 = <<24*31=744>>744 kids in total. On the rainy day, there were only 6 kids, so the difference between the busy day and the rainy day is 744 - 6 = <<744-6=738>>738 kids. If we subtract 12 squirrels, we get 738 - 12 = <<738-12=726>>726 kids. ### 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?
DeepSeek 67B:
Reasoning: On a busy day, there are 24 kids on each of the 6 attractions, so there are 24*6 = <<24*6=144>>144 kids in total. On the rainy day, there were only 6 kids, so the difference between the busy day and the rainy day is 144 - 6 = <<144-6=138>>138 kids. If we subtract 12 squirrels, we get 138 - 12 = <<138-12=126>>126 kids. ### 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?
DeepSeek 67B:
Reasoning: 1. Subtract 5 from 23: 23 - 5 = 18 2. Multiply by the number of chants (6): 18 * 6 = 108 3. Multiply by 7: 108 * 7 = 756 4. Multiply by 1: 756 * 1 = 756 5. Subtract 48: 756 - 48 = 708 The ring's magic will be 708.
Expected answer: 708
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?
DeepSeek 67B:
Reasoning: The child makes 15 cookies in one hour, so in 24 hours, the child makes 15*24 = <<15*24=360>>360 cookies. ### 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?
DeepSeek 67B:
Reasoning: The child now makes 40 cookies in one hour, so in 24 hours, the child makes 40*24 = <<40*24=960>>960 cookies. ### 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?
DeepSeek 67B:
Reasoning: The silversmith had 28+24-16 = <<28+24-16=36>>36 rings after the creation stage. He had 36-21 = <<36-21=15>>15 rings after trading. He created 26*15 = <<26*15=390>>390 rings for the special order. He had 390+7+47 = <<390+7+47=444>>444 rings after the special order. The silversmith has 444 rings in total now. ### Answer: 444
Expected answer: 444
Correct? Yes
Problem: In the previous scenario, let's consider the silversmith initially had made not 28 silver rings, but only 18. He still had the 24 gold rings and subtracted from them his original stock of 16 silver rings. He continues through the same steps of trading, creating the rings for the special order, and the other rings as before. How many rings does the silversmith have now if he started with 18 silver rings instead of 28?
DeepSeek 67B:
Reasoning: The silversmith had 18+24-16 = <<18+24-16=26>>26 rings after the creation stage. He had 26-21 = <<26-21=5>>5 rings after trading. He created 26*5 = <<26*5=130>>130 rings for the special order. He had 130+7+47 = <<130+7+47=184>>184 rings after the special order. The silversmith has 184 rings in total now. ### Answer: 184
Expected answer: 184
Correct? Yes
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?
DeepSeek 67B:
Reasoning: The number of flowers that grow properly in each row is 40/2 = <<40/2=20>>20. The total number of flowers in the rows is 20*19 = <<20*19=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?
DeepSeek 67B:
Reasoning: The bird laid 4*11 = <<4*11=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?
DeepSeek 67B:
Reasoning: The forest rangers found 216/18 = <<216/18=12>>12 eggs per nest. The total number of eggs in the forest now is 84+12*18 = <<84+12*18=294>>294 eggs. ### Answer: 294
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?
DeepSeek 67B:
Reasoning: In the first mixture, you have 41 drops of red paint + 13 drops of white paint = <<41+13=54>>54 drops of paint. You then add the same amount of red paint as before, which is 41 drops, so the total drops of paint in the first mixture is 54 + 41 = <<54+41=95>>95 drops. You take a sample of this mixture, which is 34 drops, and add that to a new mixture. The new mixture now has 34 drops. You then take away the same amount of the 34 drop sample that you took originally, so the new mixture now has 34 - 34 = <<34-34=0>>0 drops. The answer is: 0
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?
DeepSeek 67B:
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 the difference multiplied by 49, so it is 5 * 49 = <<5*49=245>>245 toy cars. The staff members make 12 * 9 = <<12*9=108>>108 toy cars a day. The total number of toy cars prepared by staff members is 108 * 5 = <<108*5=540>>540 toy cars. The total number of toy cars prepared by staff members plus the additional 45 toy cars is 540 + 45 = <<540+45=585>>585 toy cars. The total number of toy cars made in this process is the weekly goal plus the total number of toy cars prepared by staff members, so it is 245 + 585 = <<245+585=830>>830 toy cars. The answer is: 830
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?
DeepSeek 67B:
Reasoning: The farmer harvested 45 carrots, which is 45-44 = <<45-44=1>>1 carrot over 44 per day. For every carrot over 44 per day, the farmer can earn 29 dollars, so he would earn 1*29 = <<1*29=29>>29 dollars. ### 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?
DeepSeek 67B:
Reasoning: The farmer harvested 45 carrots, which is 45-44 = <<45-44=1>>1 carrot over 44 per day. For every carrot over 44 per day, the farmer can earn 41 dollars, so he would earn 1*41 = <<1*41=41>>41 dollars. ### 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?
DeepSeek 67B:
Reasoning: The worker started with 26 pairs of socks, but 50 pairs got torn, so the worker had 26 - 50 = -24 pairs of socks. The worker produced 36 more pairs to replace the torn ones, so the worker had -24 + 36 = 12 pairs of socks. Each pair of socks is sold for $37, so the worker earned 12 * $37 = $<<12*37=444>>444 from the sock sales. The worker also found a $13 bill on the floor, so the worker had $444 + $13 = $<<444+13=457>>457 in total. The answer is: 457
Expected answer: 457
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?
DeepSeek 67B:
Reasoning: The number of beads removed is 560/40 = <<560/40=14>>14 beads. The initial count of beads was 38+15 = <<38+15=53>>53 beads. After removing 14 beads, the jewelry maker has 53-14 = <<53-14=39>>39 beads. After adding one more bead, the jewelry maker has 39+1 = <<39+1=40>>40 beads. After adding 39 more beads, the jewelry maker has 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?
DeepSeek 67B:
Reasoning: The number of beads removed is 560/40 = <<560/40=14>>14 beads. After removing 14 beads, the jewelry maker has 79-14 = <<79-14=65>>65 beads. After adding 20 beads, the jewelry maker has 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?
DeepSeek 67B:
Reasoning: The number of beads removed is still 560/40 = <<560/40=14>>14 beads. The initial count of beads was 50+15 = <<50+15=65>>65 beads. After removing 14 beads, the jewelry maker has 65-14 = <<65-14=51>>51 beads. After adding one more bead, the jewelry maker has 51+1 = <<51+1=52>>52 beads. After adding 39 more beads, the jewelry maker has 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?
DeepSeek 67B:
Reasoning: Initially, there were 30 sharks in the aquarium. 23 sharks were moved to a different area, so there were 30 - 23 = <<30-23=7>>7 sharks left. 14 more sharks were brought in, so there were 7 + 14 = <<7+14=21>>21 sharks. 3 more sharks were moved to the other area, so there were 21 - 3 = <<21-3=18>>18 sharks left. The number of sharks was then multiplied by 43, so 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?
DeepSeek 67B:
Reasoning: There were 18 sharks left in the aquarium. The number of sharks was multiplied by 4, so the new figure for the experiment is 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?
DeepSeek 67B:
Reasoning: In the first two rounds, you earned 150/10 = <<150/10=15>>15 gold coins each round. So, you earned a total of 15+15 = <<15+15=30>>30 gold coins in the first two rounds. In the third round, you had to sacrifice 30 gold coins, so you had 28+14-30 = <<28+14-30=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?
DeepSeek 67B:
Reasoning: You had 12 emeralds and sapphires left after the third round. To create a powerful jewel, you need to combine the exact same amount of emeralds and sapphires that you had left, which is 12. The process of creation multiplies the total number of your existing jewels with itself. So, you ended up having 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?
DeepSeek 67B:
Reasoning: In the first two rounds, you earned 15 gold coins each round. So, you earned a total of 15+15 = <<15+15=30>>30 gold coins in the first two rounds. In the third round, you had to sacrifice 30 gold coins, so you had 28+14-30 = <<28+14-30=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?
DeepSeek 67B:
Reasoning: The train carries 15 containers every day. On Fridays, the train carries an extra 12 containers, so it carries 15+12 = <<15+12=27>>27 containers. On Monday, the train carries an additional 26 containers, so it carries 15+26 = <<15+26=41>>41 containers. On Wednesday, the load decreases by 32 containers, so it carries 15-32 = <<15-32=-17>>-17 containers. The train is coupled with 2 more containers, so it carries -17+2 = <<-17+2=-15>>-15 containers. After one stop, an additional 48 containers are loaded onto the train, so it carries -15+48 = <<-15+48=33>>33 containers. The train is carrying 33 containers at this point. ### Answer: 33
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?
DeepSeek 67B:
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?
DeepSeek 67B:
Reasoning: If 24 lemons got spoiled on the first day instead of 12, the farmer would have 72-24 = <<72-24=48>>48 lemons left. After making lemonade, the farmer would have 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?
DeepSeek 67B:
Reasoning: The bee collects 15 nectar droplets from each of the 33 flowers, so it collects 15*33 = <<15*33=495>>495 nectar droplets from the flowers. If the bee started with 26 nectar droplets, then it 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?
DeepSeek 67B:
Reasoning: The bee collects 15 nectar droplets from each of the 33 flowers, so it collects 15*33 = <<15*33=495>>495 nectar droplets from the flowers. If the bee started with 49 nectar droplets, then it 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?
DeepSeek 67B:
Reasoning: The company initially produces 36 marshmallow packs per hour. They add an extra 350 marshmallows to their daily production, which is distributed evenly over 7 hours of their working day. So, they add 350/7 = <<350/7=50>>50 marshmallows per hour. They also add another 6 marshmallow packs to their hourly production. So, their new production per hour is 36 + 50 + 6 = <<36+50+6=92>>92 marshmallows. But, they end up producing 43 less packs per hour than their goal. So, their actual production per hour is 92 - 43 = <<92-43=49>>49 marshmallow packs. ### 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?
DeepSeek 67B:
Reasoning: The company initially produces 36 marshmallow packs per hour. They add an extra 350 marshmallows to their daily production, which is distributed evenly over 7 hours of their working day. So, they add 350/7 = <<350/7=50>>50 marshmallows per hour. They also add another 4 marshmallow packs to their hourly production. So, their new production per hour is 36 + 50 + 4 = <<36+50+4=90>>90 marshmallows. But, they end up producing 43 less packs per hour than their goal. So, their actual production per hour is 90 - 43 = <<90-43=47>>47 marshmallow packs. ### 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?
DeepSeek 67B:
Reasoning: The first wizard produces 882 lights over 21 days, so the daily average is 882/21 = <<882/21=42>>42 lights per day. The second wizard produces 460 orbs over 20 days, so the daily average is 460/20 = <<460/20=23>>23 orbs per day. The difference in their daily averages is 42 - 23 = <<42-23=19>>19. The magical constant 'n' is the difference in their daily averages times the second wizard's daily average, so n = 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?
DeepSeek 67B:
Reasoning: The Special Mix has 14 + 25 + 16 + 43 = <<14+25+16+43=98>>98 components. The limited edition candy has 98 + 7 + 20 - 3 = <<98+7+20-3=122>>122 components. ### Answer: 122
Expected answer: 103
Correct? No
Problem: In a special operation, 32 police officers were assigned to the north district, 33 were sent to the south district, and 29 officers were held for the downtown district. After the operation, 21 officers from the downtown district were transferred elsewhere. A week later, on a different assignment, 39 officers were added to the remaining duty force. Later that day, another 14 officers joined the force. How many officers were on duty by the end of the day?
DeepSeek 67B:
Reasoning: The total number of officers initially assigned to the north, south, and downtown districts is 32+33+29 = <<32+33+29=94>>94 officers. After the operation, 21 officers were transferred from the downtown district, so the number of officers in the downtown district is now 29-21 = <<29-21=8>>8 officers. The total number of officers on duty after the operation is 94-21 = <<94-21=73>>73 officers. After the addition of 39 officers, the total number of officers on duty is 73+39 = <<73+39=112>>112 officers. After the addition of another 14 officers, the total number of officers on duty is 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?
DeepSeek 67B:
Reasoning: The total number of officers initially assigned to the north, south, and downtown districts is 32+33+29 = <<32+33+29=94>>94 officers. After the operation, 21 officers were transferred from the total force, so the number of officers on duty is now 94-21 = <<94-21=73>>73 officers. After the addition of 22 officers, the total number of officers on duty is 73+22 = <<73+22=95>>95 officers. After the addition of another 14 officers, the total number of officers on duty is 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?
DeepSeek 67B:
Reasoning: The distance between the Moon and the Earth decreased by 19 million kilometers, so the new distance is 36 - 19 = <<36-19=17>>17 million kilometers. Then it increased again by 11 million kilometers, so the final distance is 17 + 11 = <<17+11=28>>28 million kilometers. The value we are looking for is the distance times 19 minus 27, so it is 28 * 19 - 27 = <<28*19-27=492-27=465>>465. ### Answer: 465
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?
DeepSeek 67B:
Reasoning: The first tiger covered 2 steps of 9 meters each, so it covered 2*9 = <<2*9=18>>18 meters. Then it leaped 44 meters, so the total distance covered by the first tiger is 18+44 = <<18+44=62>>62 meters. The second tiger covered 23 meters and then leaped 46 meters, so it covered 23+46 = <<23+46=69>>69 meters. Then it retraced the distance equal to the first tiger's steps and leap, which is 18+44 = <<18+44=62>>62 meters. So, the total distance covered by the second tiger is 69+62 = <<69+62=131>>131 meters. ### Answer: 131
Expected answer: 7
Correct? No
Problem: A toothpaste factory produces 26 tubes of toothpaste every hour. On Sundays, they work for 7 hours and produce additional 8 tubes of toothpaste. So, in one Sunday, they produce ((26 * 7) + 8) tubes. The following Monday, they continue their production by adding another 31 tubes to their Sunday's total. In parallel, in the packaging department, they have 50 empty boxes. They use 19 of them for another department, leaving them with (50 - 19) boxes. The total number of toothpaste tubes ready is calculated by adding the packaged boxes number with Monday's production. On Tuesday, they produced an additional 48 tubes of toothpaste. What is the total number of produced toothpaste tubes until Tuesday, inclusive?
DeepSeek 67B:
Reasoning: On Sunday, they produced 26 tubes/hour * 7 hours + 8 tubes = 200 tubes. On Monday, they produced 200 tubes + 31 tubes = 231 tubes. In the packaging department, they had 50 - 19 = 31 empty boxes. The total number of toothpaste tubes ready is 231 tubes + 31 boxes = 262 tubes. On Tuesday, they produced 48 tubes. The total number of produced toothpaste tubes until Tuesday is 262 tubes + 48 tubes = 310 tubes. ### Answer: 310
Expected answer: 300
Correct? No
Problem: In a magical forest, a unicorn has 42 rainbow pebbles. A day later, it finds 26 more. It also has a stash of 44 dreamberries. Later on, the unicorn gathers 33 more rainbow pebbles and adds them with its stash of dreamberries. Finally, the unicorn finds 40 magical dandelions and adds them to his stash, but oh no, he loses 14! How many items does the unicorn have altogether after these events?
DeepSeek 67B:
Reasoning: The unicorn starts with 42 rainbow pebbles and finds 26 more, so it has 42+26 = <<42+26=68>>68 rainbow pebbles. The unicorn also has 44 dreamberries. Later, the unicorn gathers 33 more rainbow pebbles and adds them to its stash of dreamberries, so it has 68+33 = <<68+33=101>>101 rainbow pebbles. The unicorn also adds its stash of dreamberries, so it has 101+44 = <<101+44=145>>145 items. Finally, the unicorn finds 40 magical dandelions and adds them to its stash, so it has 145+40 = <<145+40=185>>185 items. But the unicorn loses 14 items, so it has 185-14 = <<185-14=171>>171 items altogether after these events. ### Answer: 171
Expected answer: 171
Correct? Yes
Problem: In the previous magical scenario, consider that instead of initially having 42 rainbow pebbles, the unicorn started with just 40. It still finds 26 more the following day. Maintaining his stash of 44 dreamberries, the unicorn still accumulates 33 more rainbow pebbles and adds them to the dreamberries. Once again, the unicorn ventures to obtain an additional 40 magical dandelions, but unfortunately, he loses 14. After these events, how many items does the unicorn have?
DeepSeek 67B:
Reasoning: The unicorn starts with 40 rainbow pebbles and finds 26 more, so it has 40+26 = <<40+26=66>>66 rainbow pebbles. The unicorn also has 44 dreamberries. Later, the unicorn gathers 33 more rainbow pebbles and adds them to its stash of dreamberries, so it has 66+33 = <<66+33=99>>99 rainbow pebbles. The unicorn also adds its stash of dreamberries, so it has 99+44 = <<99+44=143>>143 items. Finally, the unicorn finds 40 magical dandelions and adds them to its stash, so it has 143+40 = <<143+40=183>>183 items. But the unicorn loses 14 items, so it has 183-14 = <<183-14=169>>169 items altogether after these events. ### 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?
DeepSeek 67B:
Reasoning: The pirate captain initially had 23 types of jewels, with each type having 28 jewels. So, he had 23 * 28 = <<23*28=644>>644 jewels in total. He lost 40 jewels on his way back to his ship, so he had 644 - 40 = <<644-40=604>>604 jewels left. The next day, he found 16 jewels on a deserted island, so he had 604 + 16 = <<604+16=620>>620 jewels in total. Answer: The pirate captain has 620 jewels in his treasure chest.
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?
DeepSeek 67B:
Reasoning: The pirate captain initially had 17 types of jewels, with each type having 28 jewels. So, he had 17 * 28 = <<17*28=476>>476 jewels in total. He lost 40 jewels on his way back to his ship, so he had 476 - 40 = <<476-40=436>>436 jewels left. The next day, he found 16 jewels on a deserted island, so he had 436 + 16 = <<436+16=452>>452 jewels in total. Answer: The pirate captain has 452 jewels in his treasure chest.
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?
DeepSeek 67B:
Reasoning: The star has 38 + 4 = <<38+4=42>>42 neutrons. The energy output is 42 * 18 = <<42*18=756>>756. The additional energy released is 6 + 25 = <<6+25=31>>31. The total energy emitted 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?
DeepSeek 67B:
Reasoning: The star has 38 + 4 = <<38+4=42>>42 neutrons. The energy output is 42 * 10 = <<42*10=420>>420. The additional energy released is 6 + 25 = <<6+25=31>>31. The total energy emitted 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?
DeepSeek 67B:
Reasoning: The number of sunflowers the gardener needed to plant is 37*5-18 = <<37*5-18=131>>131. After subtracting 10 flowers, the total number of sunflowers he needed to plant is 131-10 = <<131-10=121>>121. Adding the initial sunflowers, the total number of sunflowers is 121+13 = <<121+13=134>>134. The number of spots needed for the orchids is 92/23 = <<92/23=4>>4. The total number of plants and spots is 134+4 = <<134+4=138>>138. Doubling that total, the final number is 138*2 = <<138*2=276>>276. The answer is: 276
Expected answer: 348
Correct? No
Problem: In a particular pond, there are 18 frogs. Each frog can catch 21 flies in a day. How many flies do all the frogs catch in a day?
DeepSeek 67B:
Reasoning: If there are 18 frogs and each frog can catch 21 flies in a day, then the total number of flies caught by all the frogs in a day is 18 * 21. Calculating the total number of flies caught: 18 frogs * 21 flies/frog = 378 flies Answer: All the frogs catch 378 flies in a day.
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?
DeepSeek 67B:
Reasoning: The total number of flies caught by the frogs in a day is 378 flies. The toad catches an additional 39 flies the next day. Calculating the total number of flies caught over the two days: 378 flies (frogs) + 39 flies (toad) = 417 flies Answer: Over the two days, a total of 417 flies have been caught.
Expected answer: 417
Correct? Yes
Problem: Using the information from the previous problem, now consider if the number of frogs in the pond increased to 46. If each frog can still catch 21 flies in a day, how many flies do all the frogs catch in a day now?
DeepSeek 67B:
Reasoning: If there are 46 frogs and each frog can catch 21 flies in a day, then the total number of flies caught by all the frogs in a day is 46 * 21. Calculating the total number of flies caught: 46 frogs * 21 flies/frog = 966 flies Answer: All the frogs catch 966 flies in a day.
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?
DeepSeek 67B:
Reasoning: The community center has 21 chairs in their main meeting room. They add 22 chairs from the storage room for a large event. The total number of chairs in the meeting room now for the event is 21+22 = <<21+22=43>>43 chairs. ### 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?
DeepSeek 67B:
Reasoning: The community center has 12 chairs in their main meeting room. They add 22 chairs from the storage room for a large event. The total number of chairs in the meeting room now for the event is 12+22 = <<12+22=34>>34 chairs. ### 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?
DeepSeek 67B:
Reasoning: The number of elephants in the park increased by 11+25 = <<11+25=36>>36 elephants. There are now 14+36 = <<14+36=50>>50 elephants in the park. ### 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?
DeepSeek 67B:
Reasoning: The number of elephants in the park decreased by 27 elephants. There are now 50-27 = <<50-27=23>>23 elephants left in the park. ### 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?
DeepSeek 67B:
Reasoning: The number of elephants in the park increased by 11+25 = <<11+25=36>>36 elephants. There are now 38+36 = <<38+36=74>>74 elephants in the park. ### 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?
DeepSeek 67B:
Reasoning: 1. First, we need to find the number of real stones left in the first chest. 2. Then, we need to find the value of the first chest. 3. Next, we need to find the number of rubies left after sharing and losing some. 4. Then, we need to find the new value after subtracting the number of rubies from the value of the first chest. 5. Finally, we need to find the value of the remaining treasure after subtracting the count of pearls and zirconias from the new value. Let's solve the problem step by step: 1. The number of real stones left in the first chest: Real emeralds = 23 - 0 (no fake emeralds) Real diamonds = 30 - 39 (all diamonds are fake) Total real stones = 23 + 0 = 23 2. The value of the first chest: Value = (Total real stones)Β² - 37 Value = 23Β² - 37 = 529 - 37 = 492 3. The number of rubies left after sharing and losing some: Rubies = 540 - (45 * 13) - 3 = 540 - 585 = -45 Since the number of rubies cannot be negative, we assume that the pirates took the loss of 45 rubies. 4. The new value after subtracting the number of rubies from the value of the first chest: New value = Value - Rubies = 492 - (-45) = 492 + 45 = 537 5. The value of the remaining treasure after subtracting the count of pearls and zirconias from the new value: Count = 23 (pearls) + 11 (zirconias) - 9 (damaged) = 25 Value (m) = New value - Count = 537 - 25 = 512 The value of the remaining treasure is 512.
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?
DeepSeek 67B:
Reasoning: 1. First, we need to find the daily average of the additional sightings. We do this by dividing the total additional sightings (504) by the number of days (14). 504 / 14 = 36 2. Next, we subtract the initial confirmed sightings (6) from the daily average (36). 36 - 6 = 30 3. Now, we multiply the result (30) by the difference between the maximum number of sightings in one day (9) and the number we would typically dismiss as random (3). (9 - 3) * 30 = 6 * 30 = 180 According to this calculation, there are 180 sightings.
Expected answer: 180
Correct? Yes
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?
DeepSeek 67B:
Reasoning: The blanket maker has 26*25 = <<26*25=650>>650 square patches of red material. She subtracts 5 square patches of blue material from the red material, leaving her with 650-5 = <<650-5=645>>645 square patches of red material. She then subtracts the number of red patches from the green patches, which is 48*21 = <<48*21=1008>>1008 square patches. The difference between her stock of green patches and the red patches needed for the design is 1008-645 = <<1008-645=363>>363 square patches. ### Answer: 363
Expected answer: 363
Correct? Yes
Problem: The blanket maker realized that she made a mistake in her initial calculations. Instead of having 5 patches of blue material, she actually had 27 patches. After correcting her calculations, she subtracted this from 26*25 square patches of red material. Then, she compared 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. After making this correction, how many patches is the difference between her stock of green patches and the red patches now required for the design?
DeepSeek 67B:
Reasoning: The blanket maker has 26*25 = <<26*25=650>>650 square patches of red material. She subtracts 27 patches of blue material from the red material, leaving her with 650-27 = <<650-27=623>>623 square patches of red material. She then subtracts the number of red patches from the green patches, which is 48*21 = <<48*21=1008>>1008 square patches. The difference between her stock of green patches and the red patches now required for the design is 1008-623 = <<1008-623=385>>385 square patches. ### Answer: 385
Expected answer: 385
Correct? Yes
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?
DeepSeek 67B:
Reasoning: The villagers picked a total of 38 + 24 + 16 + 13 = <<38+24+16+13=91>>91 baskets of lemons. They decided to use 35 baskets for making lemonade, so they have 91 - 35 = <<91-35=56>>56 baskets left. Each basket can produce 14 bottles of lemonade, so the remaining baskets can produce 56 * 14 = <<56*14=784>>784 bottles of lemonade. ### Answer: 784
Expected answer: 784
Correct? Yes
Problem: The villagers in Lemonville reconsidered their previous decision and determined that they would only need 23 baskets of lemons, instead of their initial estimation of 35 baskets, to make their village famous lemonade. If each basket of lemons could still produce 14 bottles of lemonade, how many bottles of lemonade would they get from the remaining baskets now?
DeepSeek 67B:
Reasoning: The villagers now decided to use 23 baskets for making lemonade, so they have 91 - 23 = <<91-23=68>>68 baskets left. Each basket can produce 14 bottles of lemonade, so the remaining baskets can produce 68 * 14 = <<68*14=952>>952 bottles of lemonade. ### Answer: 952
Expected answer: 952
Correct? Yes
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?
DeepSeek 67B:
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 seashells, which is 13 more than the amount she had remaining from the previous day. She also found an additional 49 seashells, so she had a total of 19+49 = <<19+49=68>>68 seashells. Amy gave 23+27 = <<23+27=50>>50 seashells to her brother and cousin. Therefore, Amy has 68-50 = <<68-50=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?
DeepSeek 67B:
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 seashells, which is 13 more than the amount she had remaining from the previous day. She also found an additional 49 seashells, so she had a total of 19+49 = <<19+49=68>>68 seashells. Amy gave 32+27 = <<32+27=59>>59 seashells to her brother and cousin. Therefore, Amy has 68-59 = <<68-59=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?
DeepSeek 67B:
Reasoning: In the first round, Princess Anna added 7 and 10, which equals 17. In the second round, she subtracted the result from the first round (17) and then subtracted 8 more from that result. So, 17 - 17 - 8 = -20. In the final round, Princess Anna added the results from the first and second round (17 + (-20) = -3) and then multiplied the sum by the result from the second round (-20). So, -3 * -20 = 60. The final result of the Princess's game is 60. ### Answer: 60
Expected answer: 84
Correct? No
Problem: Ellen had 15 dollars. Meanwhile, Sam had 48 dollars but then he gave some money to Ellen. After Sam gave his money to Ellen, he had as much money as Ellen originally had. Then, Sam got 24 dollars from his brother. How much money does Sam have now?
DeepSeek 67B:
Reasoning: Ellen had 15 dollars. 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, which is 15 dollars. So, Sam gave 48 - 15 = <<48-15=33>>33 dollars to Ellen. Then, Sam got 24 dollars from his brother. So, Sam now 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?
DeepSeek 67B:
Reasoning: The total length of the river and tributary is 33+19 = <<33+19=52>>52 kilometers. However, they couldn't study a 30-kilometer portion, so they were able to study 52-30 = <<52-30=22>>22 kilometers of the river. ### 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?
DeepSeek 67B:
Reasoning: The scientists were initially able to study 22 kilometers of the river. With the special permit, they were able to study an additional 32 kilometers. So, in total, the scientists were able to study 22+32 = <<22+32=54>>54 kilometers of the river. ### 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?
DeepSeek 67B:
Reasoning: The total length of the river and tributary is still 33+19 = <<33+19=52>>52 kilometers. However, they couldn't study a 26-kilometer portion, so they were able to study 52-26 = <<52-26=26>>26 kilometers of the river. ### 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?
DeepSeek 67B:
Reasoning: The first photographer took 34-19 = <<34-19=15>>15 shots at the wedding. He took 15+21+23 = <<15+21+23=59>>59 shots in total. The second photographer took 880/40 = <<880/40=22>>22 shots at the large event. 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?
DeepSeek 67B:
Reasoning: The second photographer took 880/28 = <<880/28=31.428571428571425>>31 shots at the large event. The total number of shots in their collections combined is 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?
DeepSeek 67B:
Reasoning: The pirate found a treasure chest containing 3*13 = <<3*13=39>>39 gold coins. After spending 22 coins, the pirate has 39-22 = <<39-22=17>>17 gold coins left. The pirate then discovered another loot of 47 gold coins, so he now has 17+47 = <<17+47=64>>64 gold coins. ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: Recall the pirate's adventure. But let's say, originally the treasure chest he found had 42 times the amount of his previous loot of 13 gold coins instead of 3 times. After spending 22 of these coins for the crew's rum, and discovering another loot of 47 gold coins, how many gold coins does the pirate have now?
DeepSeek 67B:
Reasoning: The pirate found a treasure chest containing 42*13 = <<42*13=546>>546 gold coins. After spending 22 coins, the pirate has 546-22 = <<546-22=524>>524 gold coins left. The pirate then discovered another loot of 47 gold coins, so he now has 524+47 = <<524+47=571>>571 gold coins. ### Answer: 571
Expected answer: 571
Correct? Yes
Problem: A hiker traveled an average of 900 miles in 36 days. One day, he increases his daily average to 16 miles. This reduces his remaining journey by a certain number of days. After that, he finds a shortcut which saves him an additional 4 days, and a friendly traveller advised him of another path that will save him 40 days. If he also saves 21 days due to good weather, how many days in total did he save on his journey?
DeepSeek 67B:
Reasoning: The hiker traveled an average of 900 miles in 36 days, so his daily average was 900/36 = 25 miles per day. When he increased his daily average to 16 miles, he reduced his remaining journey by a certain number of days. Let's call this number of days "x". So, the remaining journey after increasing his daily average is 900 - (25 - 16) * x = 900 - 9x miles. After finding a shortcut that saves him 4 days, the remaining journey is 900 - 9x - 4 * 25 = 900 - 9x - 100 = 800 - 9x miles. After a friendly traveler advised him of another path that saves him 40 days, the remaining journey is 800 - 9x - 40 * 25 = 800 - 9x - 1000 = -100 - 9x miles. Since the remaining journey cannot be negative, we can conclude that x = 100/9 = 11.11 days. So, the hiker saved 11.11 + 4 + 40 + 21 = 76.11 days on his journey. The answer is: 76
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?
DeepSeek 67B:
Reasoning: The company produces 33 pillows every hour, and there are 24 hours in a day. So, the company produces 33*24 = <<33*24=792>>792 pillows in a day. After accounting for the losses, the total number of pillows the company manufactured in a day is 792-43 = <<792-43=749>>749 pillows. ### 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?
DeepSeek 67B:
Reasoning: The company produces 24 pillows every hour, and there are 24 hours in a day. So, the company produces 24*24 = <<24*24=576>>576 pillows in a day. After accounting for the losses, the total number of pillows the company manufactured in a day is 576-43 = <<576-43=533>>533 pillows. ### 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?
DeepSeek 67B:
Reasoning: The number of rooms in the first wing is given as 5. The number of bricks in the second wing is given as 216. According to the rule, one room is equivalent to 36 bricks. To find the number of rooms in the second wing, we need to divide the number of bricks by the number of bricks per room: Number of rooms in the second wing = 216 bricks / 36 bricks per room = 6 rooms Now, to find the total number of rooms in both wings, we add the number of rooms in each wing: Total number of rooms = 5 rooms (first wing) + 6 rooms (second wing) = 11 rooms So, according to the rule, there would be 11 rooms in total.
Expected answer: 11
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?
DeepSeek 67B:
Reasoning: The player initially scored 15 goals each over 31 matches, so the total goals scored were 15*31 = <<15*31=465>>465. However, 43 goals were discounted, so the total goals became 465-43 = <<465-43=422>>422. Later, 40 goals were awarded back to the player, so the total goals became 422+40 = <<422+40=462>>462. Finally, 26 goals were deducted from the player, so the total goals became 462-26 = <<462-26=436>>436. The player ends up with 436 goals.
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?
DeepSeek 67B:
Reasoning: There are 9 tanks with 49 fish each, so there are 9*49 = <<9*49=441>>441 fish in total. However, 5 fish are relocated, so 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?
DeepSeek 67B:
Reasoning: There are 9 tanks with 47 fish each, so there are 9*47 = <<9*47=423>>423 fish in total. However, 5 fish are relocated, so 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?
DeepSeek 67B:
Reasoning: Jeremy has 14-19 = <<14-19=-5>>-5 cards after discarding. Jeremy has -5+32 = <<-5+32=27>>27 cards after gaining. ### 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?
DeepSeek 67B:
Reasoning: Jeremy has 14-19 = <<14-19=-5>>-5 cards after discarding. Jeremy has -5+32 = <<-5+32=27>>27 cards after gaining. Jeremy has 27+7 = <<27+7=34>>34 cards after being given more cards. Jeremy has 34+12 = <<34+12=46>>46 cards after finding 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?
DeepSeek 67B:
Reasoning: Jeremy has 14-19 = <<14-19=-5>>-5 cards after discarding. Jeremy has -5+13 = <<-5+13=8>>8 cards after gaining. ### 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?
DeepSeek 67B:
Reasoning: 1. First, we need to find the ticks per minute for each clock. - For the first clock, it ticks 504 times in 42 minutes. So, the ticks per minute are 504/42 = 12 ticks per minute. - For the second clock, it ticks 279 times in 31 minutes. So, the ticks per minute are 279/31 = 9 ticks per minute. 2. Next, we need to add 34 to the rate of the second clock's ticks per minute. - 9 ticks per minute + 34 = 43 ticks per minute. 3. Then, we need to multiply the first clock's ticks per minute by 35 and subtract 41 from it. - 12 ticks per minute * 35 = 420 ticks. - 420 ticks - 41 = 379 ticks. 4. Finally, we need to subtract the rate of the second clock (after adding 34) from the manipulated rate of the first clock. - 379 ticks - 43 ticks = 336 ticks. The final value is 336 ticks.
Expected answer: 336
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?
DeepSeek 67B:
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?
DeepSeek 67B:
Reasoning: In the first month, the enthusiast reported seeing 50 UFOs, but 36 of them were actually meteors. So, the actual number of UFO sightings in the first month is 50 - 36 = 14. In the second month, the enthusiast reported seeing 41 UFOs, plus an amount equal to the revised number of UFO sightings from the previous month, which is 14, plus an additional 5. So, the total number of UFO sightings in the second month is 41 + 14 + 5 = 60. ### 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?
DeepSeek 67B:
Reasoning: In the second game, the cat got (5^2)+8 = <<5^2+8=33>>33 yarn balls. In the third game, the cat ended with 25*(45-33) = <<25*(45-33)=250>>250 yarn balls. The cat has 5+33+250 = <<5+33+250=300>>300 yarn 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?
DeepSeek 67B:
Reasoning: In the second game, the cat got (5^2)+8 = <<5^2+8=33>>33 yarn balls. In the third game, the cat ended with 6*(45-33) = <<6*(45-33)=90>>90 yarn balls. The cat has 5+33+90 = <<5+33+90=130>>130 yarn balls now. ### Answer: 130
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?
DeepSeek 67B:
Reasoning: If we remove 16 balls from the basket and get cricket balls, then the number of tennis balls in the basket is 41 - 16 = <<41-16=25>>25. When 9 ping pong balls and 21 basketballs are added to the basket, the total number of balls in the basket is 41 + 9 + 21 = <<41+9+21=71>>71. ### Answer: 71
Expected answer: 55
Correct? No
Problem: The design of a classic wall clock dictates that there should be 1 number represented for every 12 around the clock face. However, your quirky modernist clockmaker friend wants to do things differently. They want to represent 37 hours on the clock's face, each hour has an equivalent of 1 square. Your friend has already completed 32 squares. They left their project for a while, and when they came back, they forgot how many squares they needed to fulfill their quirk. So they did some math to figure it out: they subtracted 32 from 37, added 42 to the result, and then subtracted 37 from that total. Suddenly, an idea occurred to them. What if they add 25 more squares for representing minutes on their quirky clock? Plus, they also wanted to add another 28 squares for seconds. Since your friend is a bit forgetful, they forgot how many squares they need again to finish their project. So, they did a little more math - added 41 to 25, followed by another 28, and then added 17 to the result. Because your friend didn't have enough material, they decided that they could reduce the total number of squares by 23. Finally, they added the number they figured out at the beginning (for hours) to this reduced number. Can you help your friend figure out how many squares they would need in total to complete their quirky clock?
DeepSeek 67B:
Let's break down the problem step by step: 1. Your friend initially had 32 squares and wanted to represent 37 hours, so they did some math: (37 - 32) + 42 - 37 = 12 2. They then decided to add squares for minutes and seconds: 12 + (25 + 28) = 12 + 53 = 65 3. They did more math: 65 + 41 + 28 + 17 = 151 4. They decided to reduce the total number of squares by 23: 151 - 23 = 128 5. Finally, they added the number they figured out at the beginning (for hours) to this reduced number: 128 + 12 = 140 So, your friend would need 140 squares in total to complete their quirky clock.
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?
DeepSeek 67B:
Reasoning: The farm produced 28*2 = <<28*2=56>>56 pounds of oranges in a single day due to the new method. The total production for the 15 days of the harvest period is 56*15 = <<56*15=840>>840 pounds. The farm added 16 pounds of a rare orange variant to this harvest, so the total production is 840+16 = <<840+16=856>>856 pounds. ### 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?
DeepSeek 67B:
Reasoning: The farm originally produced 7 pounds of oranges per day. If they doubled this amount each day of the 15-day harvest period, they would have produced 7*2 = <<7*2=14>>14 pounds of oranges per day. The total production for the 15 days of the harvest period would be 14*15 = <<14*15=210>>210 pounds. The farm added 16 pounds of a rare orange variant to this harvest, so the total production is 210+16 = <<210+16=226>>226 pounds. ### 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?
DeepSeek 67B:
Reasoning: The number of passengers on the bus after the next stop is 37+20 = <<37+20=57>>57. The number of passengers on the bus after 44 passengers get off is 57-44 = <<57-44=13>>13. The total fare collected is 13*$11 = $143. The revenue the bus company gets is $143-$14 = $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?
DeepSeek 67B:
Reasoning: The revenue the bus company has after deducting the parking fee is $129-$23 = $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?
DeepSeek 67B:
Reasoning: The number of passengers on the bus after the next stop is 28+20 = <<28+20=48>>48. The number of passengers on the bus after 44 passengers get off is 48-44 = <<48-44=4>>4. The total fare collected is 4*$11 = $44. The revenue the bus company gets is $44-$14 = $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?
DeepSeek 67B:
Reasoning: The pirate had 13+42+19 = <<13+42+19=74>>74 gems in total. After giving away 43 gems, 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?
DeepSeek 67B:
Reasoning: The reserve initially had 16 ginger giraffes. They brought in the same number of golden giraffes as they had of the ginger ones, so they brought in 16 golden giraffes. The total number of giraffes in the reserve after bringing in the golden giraffes is 16 + 16 = 32 giraffes. They then added another group of 46 greyish giraffes, so the total number of giraffes in the reserve is now 32 + 46 = 78 giraffes. ### 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?
DeepSeek 67B:
Reasoning: The reserve initially had 78 giraffes. 2 of the greyish giraffes left, so the total number of giraffes in the reserve is now 78 - 2 = 76 giraffes. ### 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?
DeepSeek 67B:
Reasoning: The reserve initially had 42 ginger giraffes. They brought in the same number of golden giraffes as they had of the ginger ones, so they brought in 42 golden giraffes. The total number of giraffes in the reserve after bringing in the golden giraffes is 42 + 42 = 84 giraffes. They then added another group of 46 greyish giraffes, so the total number of giraffes in the reserve is now 84 + 46 = 130 giraffes. ### 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?
DeepSeek 67B:
Reasoning: The turtle traveled 11+10 = <<11+10=21>>21 leagues in one day. The turtle multiplied the distance by 16 to get the total distance it swam that week, which is 21*16 = <<21*16=336>>336 leagues. The turtle realized it had 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?
DeepSeek 67B:
Reasoning: The turtle actually swam 11+17 = <<11+17=28>>28 leagues a day. The turtle multiplied the daily total by 16 to get the total distance it swam that week, which is 28*16 = <<28*16=448>>448 leagues. The turtle realized it had over calculated the distance by 41 leagues, so the real distance it swam that week is 448-41 = <<448-41=407>>407 leagues. ### Answer: 407
Expected answer: 407
Correct? Yes