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?
CodeLlama 34B:
To find the total number of words in each line, we need to add the number of words in each verse (162) to the number of words in the refrain (34). 162 + 34 = 196 So, the total number of words in each line is 196.
Expected answer: 43
Correct? No
Problem: A penguin biologist counted 35 penguins on a small ice floe. In another part of the Antarctic, she counted a different group of penguins and found there were approximately 598 divided evenly among 26 ice floes. After returning to the first place, she found that the penguin population had increased by 49. Wishing to conduct another survey, she decided to take 33 more penguins into account. However, when she counted them again, she realized she had overestimated and had to subtract 10 from her calculations. Her final step was to add in the penguins sheβd left at her base camp, which were 20 adults and 14 chicks. How many penguins did she count in total?
CodeLlama 34B:
Let's break this problem down step by step: 1. The biologist counted 35 penguins on a small ice floe. 2. She found a different group of penguins and counted approximately 598 divided evenly among 26 ice floes. 3. The penguin population had increased by 49. 4. She decided to take 33 more penguins into account. 5. She realized she had overestimated and had to subtract 10 from her calculations. 6. She added in the penguins she'd left at her base camp, which were 20 adults and 14 chicks. Now, let's calculate the total number of penguins: 1. The biologist counted 35 penguins on a small ice floe. 2. She found a different group of penguins and counted approximately 598 divided evenly among 26 ice floes. So, the total number of penguins in the second group is: 598 / 26 = 22.92 (approximately 23 penguins per ice floe) Total number of penguins in the second group = 23 x 26 = 598 Total number of penguins = 35 + 598 = 633 Now, let's add the penguins she'd left at her base camp: Total number of penguins = 633 + 20 + 14 = 667 Therefore, the biologist counted a total of 667 penguins.
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?
CodeLlama 34B:
Let's start by identifying the information given in the problem: 1. The first jungle gym has 27 steps in total. 2. The top 19 steps are blue. 3. The remaining 8 steps are red. 4. The second jungle gym has 34 green steps. Now, let's analyze the information: 1. The total number of colored steps on the first jungle gym is 19 (blue) + 8 (red) = 27. 2. The total number of colored steps on the second jungle gym is 34 (green). Therefore, the total number of colored steps on the two jungle gyms is 27 + 34 = 61. ### Answer: 61
Expected answer: 61
Correct? Yes
Problem: If a cloud releases 47 millimeters of rainfall per hour over a one hour period, and the average cloud typically releases 775 millimeters of rainfall over the course of 31 hours, find the amount of rainfall from the following condition. Subtract 22 from the average rainfall of the typical cloud per hour then multiply this by 23. Add this result to a constant cloud factor of 42. Add this new result to the hourly rainfall of the initial cloud and subtract 2 from it. What is the resultant millimeters of rainfall?
CodeLlama 34B:
To find the amount of rainfall from the given condition, we need to follow the steps outlined in the problem: 1. Subtract 22 from the average rainfall of the typical cloud per hour: 775 mm / 31 hours = 24.9 mm/hour (average rainfall of a typical cloud per hour) 24.9 mm/hour - 22 = 2.9 mm/hour (average rainfall of a typical cloud per hour after subtracting 22) 2. Multiply this result by 23: 2.9 mm/hour x 23 = 65.7 mm (total rainfall from a typical cloud over 23 hours) 3. Add this result to a constant cloud factor of 42: 65.7 mm + 42 = 107.7 mm (total rainfall from a typical cloud over 23 hours, including the constant cloud factor) 4. Add this new result to the hourly rainfall of the initial cloud: 107.7 mm + 47 mm/hour = 154.7 mm/hour (total rainfall from the initial cloud and the typical cloud over 23 hours) 5. Subtract 2 from the result: 154.7 mm/hour - 2 = 152.7 mm/hour (final result) Therefore, the resultant millimeters of rainfall is 152.7 mm/hour.
Expected answer: 156
Correct? No
Problem: Nadia likes to practice playing the piano. The other day she practiced for 45 minutes in the morning. In the same day, she also practiced for another 35 minutes in the afternoon and then another 35 minutes in the evening. How long did Nadia practice the piano in total that day?
CodeLlama 34B:
Nadia practiced the piano for a total of 45 + 35 + 35 = 115 minutes that day.
Expected answer: 115
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?
CodeLlama 34B:
To find the cost of a dress during the flash sale, we need to first find the factor by which the prices are reduced. This is given as 465 divided by 31, which is equal to 15. So, the cost of a dress during the flash sale is $44 / 15 = $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?
CodeLlama 34B:
Let's start by identifying the information given in the problem: 1. The rope maker made 46 meters of rope on Monday. 2. On Tuesday, he made as many meters of rope as he did on Monday, plus an additional 19 meters. 3. By Wednesday, 9 meters of this rope had been damaged and was unusable. Now, let's analyze the information: 1. The rope maker made 46 meters of rope on Monday, so he has 46 meters of usable rope. 2. On Tuesday, he made as many meters of rope as he did on Monday, plus an additional 19 meters. This means he made a total of 46 + 19 = 65 meters of rope on Tuesday. 3. By Wednesday, 9 meters of this rope had been damaged and was unusable. This means he has 65 - 9 = 56 meters of usable rope left. Therefore, the rope maker has 56 meters of usable rope after Wednesday. ### Answer: 56 meters.
Expected answer: 56
Correct? Yes
Problem: Following the situation from the previous days, on Thursday, a merchant came to buy multiple lengths of the rope. Each length was as long as the total usable ropes the rope maker had after Wednesday. If the merchant bought a total of 6 lengths, how many meters of rope did he purchase in total?
CodeLlama 34B:
Let's start by identifying the information given in the problem: 1. The rope maker had 56 meters of usable rope after Wednesday. 2. A merchant came to buy multiple lengths of the rope. 3. Each length was as long as the total usable ropes the rope maker had after Wednesday. 4. The merchant bought a total of 6 lengths. Now, let's analyze the information: 1. The rope maker had 56 meters of usable rope after Wednesday, so the total usable rope was 56 meters. 2. Each length was as long as the total usable ropes the rope maker had after Wednesday, which means each length was 56 meters long. 3. The merchant bought a total of 6 lengths, so he bought 6 x 56 = 336 meters of rope. Therefore, the merchant purchased 336 meters of rope in total.
Expected answer: 336
Correct? Yes
Problem: Continuing from the previous days, let's assume that instead of 9 meters, 13 meters of the rope made on Tuesday had been damaged and was unusable. In that scenario, how many meters of usable rope would the rope maker have after Wednesday?
CodeLlama 34B:
Let's analyze the information: 1. The rope maker made 46 meters of rope on Monday, so he has 46 meters of usable rope. 2. On Tuesday, he made as many meters of rope as he did on Monday, plus an additional 19 meters. This means he made a total of 46 + 19 = 65 meters of rope on Tuesday. 3. By Wednesday, 13 meters of this rope had been damaged and was unusable. This means he has 65 - 13 = 52 meters of usable rope left. Therefore, the rope maker has 52 meters of usable rope after Wednesday. ### Answer: 52 meters.
Expected answer: 52
Correct? Yes
Problem: Juliana bought 16 pairs of vintage earrings for a gift. Each pair costs $2. She also chose a special jewelry box that costs $25. In addition, she paid $48 for the gift wrapping service. How much did she spend in total for her gift?
CodeLlama 34B:
To find the total amount that Juliana spent for her gift, we need to add up the cost of all the items she purchased. First, let's calculate the cost of the vintage earrings: 16 pairs of earrings x $2 per pair = $32 Next, let's add the cost of the jewelry box: $25 Finally, let's add the cost of the gift wrapping service: $48 Now, let's add up all these costs: $32 + $25 + $48 = $105 Therefore, Juliana spent a total of $105 for her gift.
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?
CodeLlama 34B:
If Emma divides 60 beads equally among 3 friends, each friend will get 60/3 = 20 beads. If she then adds 4 more beads to each friend's pile, each friend will have 20 + 4 = 24 beads. So, each friend has 24 beads now.
Expected answer: 24
Correct? Yes
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?
CodeLlama 34B:
Let's break this down step by step: 1. The boy started with 37 paper straws. 2. He removed 4 unnecessary straws, leaving him with 37 - 4 = 33 straws. 3. He realized his kite was still too bulky and removed another 23 straws, leaving him with 33 - 23 = 10 straws. 4. He multiplied the remaining number of straws by 45, which gave him 10 x 45 = 450 straws. 5. He subtracted 49 from that total, which gave him 450 - 49 = 401 straws. 6. He took out 7 more straws, which gave him 401 - 7 = 394 straws. Therefore, the boy had 394 straws left.
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?
CodeLlama 34B:
Let's start by identifying the information we have: * There were 2 trips being hosted at the zoo. * Each trip was allowed to see 2 animals. * Each animal had 3 baby animals with them. * Each baby animal could be photographed 21 times. * 34 photos were spoiled and unusable out of the entire batch. * Guests were given the opportunity to take an additional 30 photos later. Now, let's calculate the number of photos taken in total: * Each trip saw 2 animals, and each animal had 3 baby animals, so each trip saw a total of 2 x 3 = 6 baby animals. * Each baby animal could be photographed 21 times, so each trip took a total of 6 x 21 = 126 photos. * Since there were 2 trips, the total number of photos taken is 126 x 2 = 252 photos. Now, let's calculate the number of usable photos: * If 34 photos were spoiled and unusable out of the entire batch, then the number of usable photos is 252 - 34 = 218 photos. * If guests were given the opportunity to take an additional 30 photos later, then the total number of usable photos is 218 + 30 = 248 photos. Therefore, the final answer is 248 usable photos.
Expected answer: 248
Correct? Yes
Problem: In a literacy event, a group of learners were asked to write a word from letters. In the first round, they could form a word with 47 letters, but due to a mistake, they had to remove 30 letters. Then, they figured out they could still add 10 more letters to this word. In the next round, they removed 3 of these letters from the updated word. How many letters were there in the word after this last deletion?
CodeLlama 34B:
Let's break this down step by step: 1. In the first round, the learners formed a word with 47 letters. 2. They made a mistake and had to remove 30 letters, leaving them with 17 letters. 3. They then figured out that they could still add 10 more letters to this word, so they added 10 letters to the 17 letters they had left, making the word 27 letters long. 4. In the next round, they removed 3 letters from the updated word, leaving them with 24 letters. Therefore, there were 24 letters in the word after the last deletion.
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?
CodeLlama 34B:
To find Tommy's average speed, we need to find the total distance traveled and the total time taken. Let's first find the distance traveled at each speed: * At 74/37 mph: d1 = 74/37 \* t1 = 74/37 \* 1 = 20.5 miles * At 71/37 mph: d2 = 71/37 \* t2 = 71/37 \* 1 = 19.5 miles * At 74/37 mph again: d3 = 74/37 \* t3 = 74/37 \* 1 = 20.5 miles Now, let's find the total distance traveled: Total distance = d1 + d2 + d3 = 20.5 + 19.5 + 20.5 = 60.5 miles Next, let's find the total time taken: t1 + t2 + t3 = 1 + 1 + 1 = 3 hours Now, we can find the average speed: Average speed = Total distance / Total time = 60.5 / 3 = 20.17 mph Therefore, Tommy's average speed is 20.17 mph.
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?
CodeLlama 34B:
Liam has 40 sets of building blocks, and each set contains 16 blocks. To find the total number of building blocks, we need to multiply the number of sets by the number of blocks in each set. 40 sets x 16 blocks per set = 640 blocks Therefore, Liam has 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?
CodeLlama 34B:
Liam has 640 building blocks and decides to give away 25 to his friend. To find out how many building blocks Liam has left, we need to subtract the number of blocks he gave away from the total number of blocks he had. 640 - 25 = 615 Therefore, Liam has 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?
CodeLlama 34B:
If Liam had 38 sets of building blocks instead of 40, he would have 38 x 16 = 608 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?
CodeLlama 34B:
Let's start by using the information that John had 24 pencils. Then, he bought more pencils such that the number of pencils he has now is equal to the number of what he had plus 7. So, the number of pencils he has now is 24 + 7 = 31. Therefore, John has 31 pencils now.
Expected answer: 31
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?
CodeLlama 34B:
Let's break this down step by step: 1. The snowfall in City A lasts for 50 days, and it is currently 36 days in. So, the remaining days of snowfall in City A are 50 - 36 = 14 days. 2. The snow pattern in City B is unique, where for every 14 days, it snows 98 inches. So, the total snowfall in inches in City B is 98 inches x 14 days = 1,372 inches. 3. 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. So, the total snowfall in inches in City A is 14 days x 98 inches/day = 1,372 inches. 4. The snow removal in City A has kept up and has managed to remove an amount of snow equal to the average daily snowfall in City B. So, the amount of snow removed from City A is 98 inches/day. 5. The amount of snow left in City A after the snow removal is the total snowfall in inches in City A minus the amount of snow removed. So, the amount of snow left in City A after the snow removal is 1,372 inches - 98 inches/day = 1,274 inches. Therefore, there are 1,274 inches of snow left in City A after the snow removal.
Expected answer: 91
Correct? No
Problem: A pirate finds 28 rubies on the first day of his treasure hunt. On the second day, he finds another haul of rubies equal to the first day's find plus an additional 21 rubies. How many rubies does the pirate have in total after the second day?
CodeLlama 34B:
Let's use "x" to represent the number of rubies the pirate found on the first day. According to the problem, the pirate found 28 rubies on the first day, so we can write an equation based on that: x = 28 On the second day, the problem states that the pirate found another haul of rubies equal to the first day's find plus an additional 21 rubies. We can represent this as: x + (x + 21) = total number of rubies found after the second day We can simplify this equation by combining the two instances of "x": 2x + 21 = total number of rubies found after the second day Now, we can solve for the total number of rubies found after the second day by subtracting 21 from both sides of the equation: 2x = total number of rubies found after the second day - 21 We know that the pirate found 28 rubies on the first day, so we can substitute this value into the equation: 2(28) = total number of rubies found after the second day - 21 56 = total number of rubies found after the second day - 21 Adding 21 to both sides of the equation gives us: 77 = total number of rubies found after the second day Therefore, the pirate has 77 rubies in total after the second day.
Expected answer: 77
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?
CodeLlama 34B:
Reasoning: 1. January: 47 inches 2. Early February: 7 inches 3. February 15th: 17 inches 4. March: 48 inches 5. Early April: 31 inches 6. End of April: -27 inches (melted) Total snowfall at the end of April: 47 + 7 + 17 + 48 + 31 - 27 = <<47+7+17+48+31-27=192>>192 inches. ### Answer: 192 inches.
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?
CodeLlama 34B:
To find the total number of balloons the vendor sold that day, we need to add the number of balloons he sold during the busy day and the number of balloons he sold to the stragglers. Let's first calculate the number of balloons he sold during the busy day: 46 balloons/hour x 11 hours = 506 balloons Now, let's add the number of balloons he sold to the stragglers: 506 + 31 = 537 Therefore, the vendor sold a total of 537 balloons that day.
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?
CodeLlama 34B:
Let's start by analyzing the information given in the problem: 1. In the first game, Mary scored 31 points and John scored 39 points. 2. In the second game, their combined score was increased by 35 more points. 3. 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. Now, let's calculate the final score in the special round: 1. The combined score in the second game is 31 + 39 = 70. 2. The combined score in the special round is 70 + 35 = 105. 3. The number of cards left in the deck is 23. 4. The difference between 27 and 23 is 4. 5. The final score in the special round is 105 x 4 = 420. Therefore, the final score in the special round is 420.
Expected answer: 420
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?
CodeLlama 34B:
Let's first calculate the total number of chairs produced by the furniture company: 17 upholstered seats + 18 wooden seats = 35 chairs 35 chairs x 2 (for the afternoon production) = 70 chairs 70 chairs x 2 (for the evening production) = 140 chairs Total number of chairs produced = 140 chairs Now, let's calculate the number of chairs left after the operations: 140 chairs - 48 chairs given away to charity = 92 chairs 92 chairs - 7 chairs used for quality testing = 85 chairs Therefore, there are 85 chairs left after these operations. ### Answer: 85 chairs.
Expected answer: 73
Correct? No
Problem: On a popular jungle gym, there are 46 monkey bars and 18 swinging ropes for the kids to play on. Nearby, a larger jungle gym was recently built to accommodate more kids. The new jungle gym contains 2 extra long zip lines and 20 regular zip lines, each requiring 31 special hooks to install. How many more hooks were used in the new jungle gym compared to the number of play components on the popular jungle gym?
CodeLlama 34B:
Let's start by identifying the number of play components on the popular jungle gym: * Monkey bars: 46 * Swinging ropes: 18 Total number of play components: 46 + 18 = 64 Now, let's calculate the number of hooks used in the new jungle gym: * Zip lines: 20 (regular) + 2 (extra long) = 22 * Hooks per zip line: 31 Total number of hooks used in the new jungle gym: 22 x 31 = 682 To find the difference between the number of hooks used in the new jungle gym and the number of play components on the popular jungle gym, we can subtract the total number of play components from the total number of hooks used in the new jungle gym: 682 - 64 = 618 Therefore, there are 618 more hooks used in the new jungle gym compared to the number of play components on the popular jungle gym.
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?
CodeLlama 34B:
John has $168 and divides it evenly between 21 days, so he has $168/21 = $8 per day. After getting an additional $47 from his job, John has $8 + $47 = $55. He then receives another amount of money which is the sum of $12 and $45, so he has $55 + $12 + $45 = $112. Therefore, John has $112 now.
Expected answer: 112
Correct? Yes
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?
CodeLlama 34B:
To find the total number of boxes the robot will have stacked, we need to first find the number of boxes the robot will stack in the 4 minutes it works non-stop. The robot can stack 32 boxes in 1 minute, so it will stack 32 x 4 = 128 boxes in 4 minutes. If the robot then picks up 1 extra box, the total number of boxes it will have stacked is 128 + 1 = 129 boxes. Therefore, the total number of boxes the robot will have stacked is 129 boxes.
Expected answer: 129
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?
CodeLlama 34B:
Let's start by identifying the information we have: * The female tiger gave birth to 26 cubs in her lifetime. * 17 of the cubs did not survive the harsh conditions of the wild. * 6 of the surviving tigers moved to other territories. We can start by finding the number of cubs that survived: 26 - 17 = 9 So, 9 cubs survived. Next, we can find the number of tigers that remained in the female tiger's territory: 9 - 6 = 3 So, 3 tigers remained in the female tiger's territory.
Expected answer: 3
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?
CodeLlama 34B:
Let's break this down step by step: 1. The original colony had 44 members. 2. 39 new penguins joined the colony, so the total number of penguins in the colony is now 44 + 39 = 83. 3. 16 penguins left the colony to start a new colony elsewhere, so the total number of penguins in the colony is now 83 - 16 = 67. 4. Another group of 35 penguins joined the colony, so the total number of penguins in the colony is now 67 + 35 = 102. Therefore, there are 102 penguins in the colony now.
Expected answer: 102
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?
CodeLlama 34B:
To solve this problem, we need to first find the total distance traveled by the helicopter in 12 minutes at the increased speed. Let's start by finding the speed of the helicopter after it increases its speed by 40 miles and another 20 miles. Speed = Distance / Time In this case, the distance is 40 miles + 20 miles = 60 miles. Time = 1 minute (the time it takes for the helicopter to travel 10 miles at its original speed) So, the speed of the helicopter after it increases its speed is: Speed = 60 miles / 1 minute = 60 miles per minute Now, let's find the total distance traveled by the helicopter in 12 minutes at this increased speed: Total distance = Speed x Time Total distance = 60 miles per minute x 12 minutes Total distance = 720 miles Therefore, the helicopter will travel 720 miles in 12 minutes at its increased speed.
Expected answer: 840
Correct? No
Problem: A new telescope has a magnification power of 26. To further explore the universe, another telescope is required that needs to be exactly 41 in magnification strength. How much more magnification is required for the new telescope compared to the existing one?
CodeLlama 34B:
To find the difference in magnification between the two telescopes, we need to subtract the magnification power of the existing telescope (26) from the magnification power of the new telescope (41). 41 - 26 = 15 So, the new telescope requires 15 times more magnification than the existing one.
Expected answer: 15
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?
CodeLlama 34B:
To find out how much money Sophie has in total, we need to add up all the money she has earned and spent. First, let's calculate the money Sophie earned: * She worked 2 hours on Monday and earned $18 per hour, so she earned $18 + $18 = $36. * She worked 1 hour on Tuesday and earned $18 per hour, so she earned $18. Total amount earned: $36 + $18 = $54. Now, let's calculate the money Sophie spent: * She spent $4 on ice cream and $4 on coffee, so she spent $4 + $4 = $8. * She added the leftover amount from Monday to her pay for her next single hour of work, so she earned an additional $18. Total amount spent: $8 + $18 = $26. Now, let's add up the total amount earned and spent: $54 (earned) - $26 (spent) = $28. Therefore, Sophie has $28 in total.
Expected answer: 91
Correct? No
Problem: A towel company initially produced 30 beach towels and 6 hand towels. They then gave away 7 towels for charity, which leaves a certain amount of towels. They then decided to produce 14 more towels to add to their current stock. On the other hand, they made a special batch of 13 towels for every towel left after their charity activity and deducted 19 towels from this special batch, calling it their premium collection. They then noted 20 towels were damaged and removed it from this premium collection. After this, they deducted 3 more towels from the remaining premium collection and combined it with the total they had after their second batch of production. How many towels does the company have now?
CodeLlama 34B:
Let's break this down step by step: 1. Initially, the towel company produced 30 beach towels and 6 hand towels, for a total of 36 towels. 2. They gave away 7 towels for charity, leaving 36 - 7 = 29 towels. 3. They produced 14 more towels, so now they have 29 + 14 = 43 towels. 4. They made a special batch of 13 towels for every towel left after their charity activity, which is 13 x 29 = 377 towels. 5. They deducted 19 towels from this special batch, leaving 377 - 19 = 358 towels. 6. They noted that 20 towels were damaged and removed them from the premium collection, leaving 358 - 20 = 338 towels. 7. They deducted 3 more towels from the remaining premium collection, leaving 338 - 3 = 335 towels. 8. They combined the remaining premium collection with the total they had after their second batch of production, which is 43 + 335 = 378 towels. Therefore, the towel company has 378 towels now.
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?
CodeLlama 34B:
The extraterrestrial being has 50 energy crystals and 6 lumino-gems in the hidden compartment of their zorbcraft. They will receive 20 more energy crystals in a few Earth days, so the total number of energy crystals in the compartment will be: 50 + 20 = 70 energy crystals The total number of items (including both energy crystals and lumino-gems) in the compartment will be: 70 energy crystals + 6 lumino-gems = 76 items Therefore, there will be 76 items in the zorbcraft's compartment at that time.
Expected answer: 126
Correct? No
Problem: A park contains 43 Velociraptors. Then, the park added another set of dinosaurs which numbered 972, but as it so happens, each of these sections contained 27 dinosaurs. This meant the actual number of new dinosaur types added was less. After calculating the new dinosaur types, they found out that the number of Velociraptors was more. They found the difference and multiplied this difference by 7, as each of the Velociraptors laid 7 new eggs that week. How many total eggs were laid by the Velociraptors that week?
CodeLlama 34B:
Let's break this down step by step: 1. The park contains 43 Velociraptors. 2. The park added another set of dinosaurs, but each section contained 27 dinosaurs. So, the total number of new dinosaurs added was 972 / 27 = 36. 3. The number of Velociraptors was more than the number of new dinosaurs added. So, the difference between the number of Velociraptors and the number of new dinosaurs added is 43 - 36 = 7. 4. Each Velociraptor laid 7 new eggs that week. So, the total number of eggs laid by the Velociraptors that week is 7 x 7 = 49. Therefore, the total number of eggs laid by the Velociraptors that week 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?
CodeLlama 34B:
There are 46 oranges in the bowl. Maria takes 16 oranges. There are 46 - 16 = <<46-16=30>>30 oranges left in the bowl.
Expected answer: 30
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?
CodeLlama 34B:
Let's start by finding the number of toothbrushes produced in the first 7 minutes. The factory produces 37 toothbrushes per minute, so it produces 37 x 7 = 259 toothbrushes in the first 7 minutes. Next, let's find the number of toothbrushes produced in the remaining 9 minutes. The factory produces 308 toothbrushes every 7 minutes, so it produces 308 x 2 = 616 toothbrushes in the remaining 9 minutes. Finally, let's add the number of toothbrushes produced in the first 7 minutes to the number of toothbrushes produced in the remaining 9 minutes to find the total number of toothbrushes produced. 259 + 616 = 875 Therefore, the toothbrush factory produced 875 toothbrushes in total.
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.
CodeLlama 34B:
Let's break this down step by step: 1. Initially, the laboratory had 39 telescopes. 2. In the first month, they added 7 telescopes, so they had 39 + 7 = 46 telescopes. 3. In the second month, they added 17 telescopes, so they had 46 + 17 = 63 telescopes. 4. In the third month, they added 12 telescopes, so they had 63 + 12 = 75 telescopes. 5. In the fourth month, they added 18 telescopes, so they had 75 + 18 = 93 telescopes. 6. In the fifth month, they received exactly the same number of telescopes as they had initially, which is 39 telescopes. So, they had 93 - 39 = 54 telescopes left. 7. In the sixth month, they received an extra 19 telescopes, so they had 54 + 19 = 73 telescopes. Therefore, the research laboratory has 73 telescopes at the end of the sixth month.
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?
CodeLlama 34B:
Let's break this down step by step: 1. Initially, there were 20 forks and 23 knives, for a total of 20 + 23 = 43 utensils. 2. Later in the day, 28 more sets of cutlery were added, each set containing 26 utensils. This means that 28 x 26 = 744 more utensils were added. 3. After counting, they found 7 more utensils than expected. This means that the total number of utensils found was 744 + 7 = 751. 4. However, there were 46 missing utensils. This means that the total number of utensils found was 751 - 46 = 705. 5. Finally, they had to remove the original set of 20 forks and 23 knives, which is equal to 20 + 23 = 43 utensils. Therefore, the number of utensils left on the table is 705 - 43 = 662. ### Answer: 662
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?
CodeLlama 34B:
The unicorn has 50 red roses and 36 blue roses in her garden before the storm. After the storm, 25 blue roses are destroyed, leaving the unicorn with 36 - 25 = <<36-25=11>>11 blue roses. The unicorn has a total of 50 red roses and 11 blue roses left in her garden after the storm. ### Answer: 61
Expected answer: 61
Correct? Yes
Problem: After the storm, the magical unicorn plants 41 more pink roses in her mystical garden. How many roses does the unicorn have in her garden now?
CodeLlama 34B:
The unicorn has 50 red roses and 11 blue roses in her garden after the storm. After planting 41 more pink roses, the unicorn has a total of 50 + 41 = <<50+41=91>>91 roses in her garden. ### Answer: 91
Expected answer: 102
Correct? No
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?
CodeLlama 34B:
If the magical unicorn had originally had 50 red roses and 38 blue roses in her garden, and she lost 25 blue roses in the storm, she would have 50 red roses and 38 - 25 = <<38-25=13>>13 blue roses left in her garden after the storm. ### Answer: 63
Expected answer: 63
Correct? Yes
Problem: A factory produces 100 bottles every hour. Half of the hourly production is sent to one warehouse. At another location, triple the amount sent to the first warehouse was marked for shipping, as well as an additional 29 bottles. By the end of the day, 28 more bottles were added to this shipment. How many bottles were marked for shipping in total?
CodeLlama 34B:
Let's start by identifying the information given in the problem: 1. The factory produces 100 bottles every hour. 2. Half of the hourly production is sent to one warehouse. 3. At another location, triple the amount sent to the first warehouse was marked for shipping. 4. An additional 29 bottles were marked for shipping at this location. 5. By the end of the day, 28 more bottles were added to this shipment. Now, let's analyze the information: 1. Half of the hourly production is sent to one warehouse, so the other half is available for shipping. 2. At another location, triple the amount sent to the first warehouse was marked for shipping, so the total amount marked for shipping is 3 \* (1/2) = 1.5 times the hourly production. 3. An additional 29 bottles were marked for shipping at this location. 4. By the end of the day, 28 more bottles were added to this shipment. Now, let's calculate the total number of bottles marked for shipping: Total number of bottles marked for shipping = 1.5 \* 100 + 29 + 28 = 177 bottles Therefore, the total number of bottles marked for shipping is 177 bottles.
Expected answer: 207
Correct? No
Problem: The height of a window frame is calculated as the sum of 925 divided by 37 and 26 inches. The width of the window is 11 inches greater than the height. The circumference of the window is calculated as the sum of twice the width and the height. Finally the size of the glass for the window is calculated by subtracting 32 from the circumference. Find the size of the glass required for the window?
CodeLlama 34B:
The height of the window frame is calculated as the sum of 925 divided by 37 and 26 inches. Height = 925/37 + 26 = 24.5 inches The width of the window is 11 inches greater than the height. Width = Height + 11 = 24.5 + 11 = 35.5 inches The circumference of the window is calculated as the sum of twice the width and the height. Circumference = 2(35.5) + 24.5 = 71.5 inches Finally, the size of the glass for the window is calculated by subtracting 32 from the circumference. Glass size = Circumference - 32 = 71.5 - 32 = 39.5 inches Therefore, the size of the glass required for the window is 39.5 inches.
Expected answer: 143
Correct? No
Problem: A pirate finds treasure with 135 gold coins. He divides these amongst his crew of 9. On another island, they find 323 emeralds which he divides amongst his crew of 19. He then multiplies these two shares to find out the total share per crew member. However, due to a miscount, he later realizes he has overcounted the share by 14. What is the corrected total share per crew member?
CodeLlama 34B:
Let's first calculate the total share per crew member for the gold coins: 135 gold coins / 9 crew members = 15 gold coins per crew member Now, let's calculate the total share per crew member for the emeralds: 323 emeralds / 19 crew members = 17 emeralds per crew member Now, let's multiply the two shares to find the total share per crew member: 15 gold coins per crew member x 17 emeralds per crew member = 255 However, due to a miscount, the pirate has overcounted the share by 14. So, we need to subtract 14 from the total share: 255 - 14 = 241 Therefore, the corrected total share per crew member is 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?
CodeLlama 34B:
To find the difference in the total weight of ingredients between the second and third batch of chocolates, we need to find the total weight of ingredients for each batch and then subtract the weight of the second batch from the weight of the third batch. Let's start by finding the total weight of ingredients for each batch: 1. Second batch: The second batch requires 38 grams of cocoa and 26 grams of sugar, for a total of 64 grams of ingredients. 2. Third batch: The third batch requires 38 grams of cocoa and 18 grams of milk, for a total of 56 grams of ingredients. Now, let's subtract the weight of the second batch from the weight of the third batch: 56 grams - 64 grams = -8 grams So, the difference in the total weight of ingredients between the second and third batch of chocolates is -8 grams.
Expected answer: 14
Correct? No
Problem: Jenny has 9 red colored pencils in her art box. She also has some green colored pencils which amounts to 38 minus the number of red colored pencils she has. The total number of times she used all the pencils is the product of the number of green and red pencils she has. How many times did she use all her pencils?
CodeLlama 34B:
Let's start by using the information we know to set up an equation. We know that Jenny has 9 red colored pencils and 38 - 9 = 29 green colored pencils. We also know that the total number of times she used all the pencils is the product of the number of green and red pencils she has. So, we can write an equation like this: 29 \* 9 = total number of times she used all her pencils Now, we can solve for the total number of times she used all her pencils by multiplying 29 and 9: 29 \* 9 = 261 So, the total number of times Jenny used all her pencils is 261.
Expected answer: 261
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?
CodeLlama 34B:
Let's break this down step by step: 1. Each transistor in the standard robot has 16 separate connections. 2. Each transistor in the strangely built robot has 16 separate connections, except for one transistor that has only 15 connections. 3. To compensate for the mistake, an extra 41 connections were added elsewhere in the robot. So, the total number of connections in the strangely built robot can be calculated as follows: 1. Standard robot: 17 transistors x 16 connections per transistor = 272 connections 2. Strangely built robot: 17 transistors x 15 connections per transistor (for the transistor with the mistake) = 255 connections 3. Extra connections added elsewhere: 41 connections Therefore, the total number of connections in the strangely built robot is: 272 + 255 + 41 = 568 connections.
Expected answer: 312
Correct? No
Problem: At the local jungle gym, during busy hours, there are usually 24 kids climbing on each of the 31 different attractions. One rainy day, however, there were only 6 kids in total! If you subtract the number of kids on the rainy day from the usual busy day, and then further subtract 12 (the number of squirrels scampering around), how many kids will you have counted in total?
CodeLlama 34B:
On a busy day, there are 24 kids climbing on each of the 31 different attractions, so there are a total of 24 x 31 = 744 kids climbing. On a rainy day, there are only 6 kids climbing. If you subtract the number of kids on the rainy day from the usual busy day, you will have counted 744 - 6 = 738 kids. If you further subtract 12 (the number of squirrels scampering around), you will have counted 738 - 12 = 726 kids.
Expected answer: 726
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?
CodeLlama 34B:
To determine the power of the ring's magic, we need to follow the steps of the magical formula: 1. Subtract 5 from 23: 23 - 5 = 18 2. Multiply by the number of magical chants (6): 18 x 6 = 108 3. Multiply by 7: 108 x 7 = 756 4. Multiply by 1: 756 x 1 = 756 5. Subtract 48 from the result: 756 - 48 = 708 Therefore, the power of the ring's magic is 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?
CodeLlama 34B:
To find the total number of cookies made in 24 hours, we need to multiply the number of cookies made in one hour by the number of hours spent making cookies. Number of cookies made in one hour = 15 Number of hours spent making cookies = 24 Total number of cookies made = 15 x 24 = 360 Therefore, the child makes 360 cookies in 24 hours.
Expected answer: 360
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?
CodeLlama 34B:
Let's break this down step by step: 1. The silversmith had 16 silver rings in stock. 2. He created 28 silver and 24 gold rings, for a total of 52 rings. 3. He subtracted the number of his original stock of silver rings, which is 16. So, he has 52 - 16 = 36 rings left. 4. He traded some rings, which means he has 36 - 21 = 15 rings left. 5. For a special order, he created 26 times the number of rings he had left, which is 26 x 15 = 390 rings. 6. He also created 7 platinum and 47 bronze rings for another order, for a total of 7 + 47 = 54 rings. 7. So, the total number of rings the silversmith has now is 15 + 390 + 54 = 459 rings. Therefore, the silversmith has 459 rings in total.
Expected answer: 444
Correct? No
Problem: A gardener plants flowers in several rows. Each row contains 40 flowers, but due to the rough soil conditions only half of them grow properly. In total, 19 rows are planted this way. Additionally, the gardener plants another small batch of 18 bulbs in one corner and 48 in another corner of the garden. What is the difference between the total number of flowers in the rows and the small corners?
CodeLlama 34B:
Let's first calculate the total number of flowers in the rows: 40 flowers per row x 19 rows = 760 flowers in the rows Now, let's calculate the total number of flowers in the small corners: 18 bulbs in one corner x 2 flowers per bulb = 36 flowers in one corner 36 flowers in one corner + 48 bulbs in another corner x 2 flowers per bulb = 36 + 96 = 132 flowers in the small corners So, the difference between the total number of flowers in the rows and the small corners is: 760 - 132 = 628 flowers Therefore, the difference between the total number of flowers in the rows and the small corners is 628 flowers.
Expected answer: 314
Correct? No
Problem: In the forest, a certain bird lays an average of 11 eggs per month. This month, the bird laid 4 times the average. Due to extreme weather conditions, the forest welcoming committee distributed an additional 40 eggs to various nests to support the bird population. How many eggs are there in the forest this month?
CodeLlama 34B:
Let's start by identifying the information given in the problem: 1. The bird lays an average of 11 eggs per month. 2. The bird laid 4 times the average this month. 3. The forest welcoming committee distributed an additional 40 eggs to various nests to support the bird population. Now, let's analyze the information: 1. The bird laid 4 times the average, which means it laid 4 x 11 = 44 eggs this month. 2. The forest welcoming committee distributed an additional 40 eggs to various nests, which means the total number of eggs in the forest this month is 44 + 40 = 84 eggs. Therefore, there are 84 eggs in the forest this month.
Expected answer: 84
Correct? Yes
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?
CodeLlama 34B:
Let's call the number of drops of red paint in the new mixture "x". We know that the total number of drops of paint in the new mixture is x + 34, since we added 34 drops of the sample to the mixture. We also know that the number of drops of red paint in the sample is 34/2 = 17, since we took half of the sample. So, the number of drops of red paint in the new mixture is x + 17. We are also given that the number of drops of white paint in the new mixture is 13. Therefore, the total number of drops of paint in the new mixture is x + 17 + 13 = x + 20. We are told that the number of drops of paint in the new mixture is 41, so we can set up the equation: x + 20 = 41 Solving for x, we get: x = 21 Therefore, there are 21 drops of red paint in the new mixture.
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?
CodeLlama 34B:
Let's break down the problem step by step: 1. The factory made 32 toy cars on Monday and 27 on Tuesday, so the difference is 32 - 27 = 5 toy cars. 2. They multiply the difference by 49 to determine their weekly goal, so the weekly goal is 5 x 49 = 245 toy cars. 3. The staff number in the factory is 12, and every staff member makes 9 toy cars a day, so the total number of toy cars prepared by staff members is 12 x 9 = 108 toy cars. 4. They add 45 to the total number of toy cars prepared by staff members, so the total number of toy cars prepared by staff members is 108 + 45 = 153 toy cars. 5. On Friday, they prepare 31 additional toy cars, so the total number of toy cars prepared on Friday is 31 toy cars. 6. The total number of toy cars prepared in the week is the sum of the number of toy cars prepared by staff members and the number of toy cars prepared on Friday, so the total number of toy cars prepared in the week is 153 + 31 = 184 toy cars. Therefore, the total number of toy cars made in this process is 245 + 184 = 429 toy cars.
Expected answer: 429
Correct? Yes
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?
CodeLlama 34B:
If the farmer harvests 45 carrots in one day, he can earn 29 dollars for every carrot over 44. This means that for the 45 carrots he harvested, he can earn 29 dollars for 1 carrot, since 45 - 44 = 1. So, the farmer would have earned 29 dollars for the 1 carrot that he harvested over the limit of 44 carrots. Therefore, the farmer would have earned a total of 29 dollars.
Expected answer: 29
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?
CodeLlama 34B:
Let's break this down step by step: 1. The worker started with 26 pairs of socks. 2. 50 pairs of socks got torn and had to be discarded. 3. The worker was able to produce 36 more pairs to replace them. 4. Each pair of socks is sold for $37. 5. After earning from the sock sales, the worker found a $13 bill on the floor. Let's first calculate the total number of pairs of socks the worker has: 26 pairs - 50 pairs = -24 pairs -24 pairs + 36 pairs = 12 pairs So, the worker has 12 pairs of socks left. Now, let's calculate the total amount of money the worker has earned from selling socks: 12 pairs x $37 per pair = $454 Now, let's add the $13 bill the worker found on the floor: $454 + $13 = $467 Therefore, the worker has a total of $467.
Expected answer: 457
Correct? No
Problem: A jewelry maker starts with 38 beads to make a bracelet. However, the number of beads was not right, so she removed a number of beads equal to dividing 560 by 40. However, she thinks her initial count may have been wrong and she may have actually started with 15 more beads than she initially thought. After adjusting the count and removing some beads, she adds one more bead, and then 39 more. How many beads does the jewelry maker have now?
CodeLlama 34B:
Let's break this down step by step: 1. The jewelry maker starts with 38 beads. 2. She removes a number of beads equal to dividing 560 by 40, which is 14. 3. She thinks her initial count may have been wrong and she may have actually started with 15 more beads than she initially thought. So, she adds 15 beads. 4. She adds one more bead. 5. She adds 39 more beads. Now, let's calculate the total number of beads the jewelry maker has: 38 + 14 + 15 + 1 + 39 = 107 Therefore, the jewelry maker has 107 beads.
Expected answer: 79
Correct? No
Problem: In an aquarium, there are initially 30 sharks. But then, 23 of them are moved to a different area of the aquarium. A few days later, an additional 14 sharks are brought in, followed by 3 more being moved to the other area. The number of sharks is then multiplied by 43 for a research study. What is the final figure for the research?
CodeLlama 34B:
Let's break this down step by step: 1. Initially, there are 30 sharks in the aquarium. 2. 23 sharks are moved to a different area, leaving 30 - 23 = 7 sharks in the original area. 3. 14 more sharks are brought in, so now there are 7 + 14 = 21 sharks in the original area. 4. 3 sharks are moved to the other area, leaving 21 - 3 = 18 sharks in the original area. 5. The number of sharks is multiplied by 43 for a research study, so the final figure is 18 x 43 = 786. Therefore, the final figure for the research is 786.
Expected answer: 774
Correct? No
Problem: In a puzzle game, each round you collect 150 points which are then divided by 10 to determine the number of gold coins you earn. After two rounds, you earned some gold coins. In the third round, you collected 28 emeralds and 14 sapphires but you had to sacrifice the same amount of gold coins as you earned in the first two rounds. How many emeralds and sapphires did you have left after the third round?
CodeLlama 34B:
In the first two rounds, you earned 150 points each round, which is then divided by 10 to determine the number of gold coins you earn. So, in the first two rounds, you earned 150/10 = 15 gold coins. In the third round, you collected 28 emeralds and 14 sapphires. However, you had to sacrifice the same amount of gold coins as you earned in the first two rounds, which is 15 gold coins. So, after the third round, you have: * 28 - 15 = 13 emeralds left * 14 - 15 = -1 sapphire left Since you cannot have a negative number of sapphires, you actually have 0 sapphires left after the third round.
Expected answer: 12
Correct? No
Problem: A train gets to carry 15 containers every day. On Fridays, the train gets to carry an extra 12 containers than usual. The following Monday, the train carries an additional 26 containers. However, on Wednesday, the load decreases by 32 containers. For a particular trip, the train is coupled with 2 more containers, and after it makes one stop, an additional 48 containers are loaded onto the train. How many containers is the train carrying at this point?
CodeLlama 34B:
Let's break this down step by step: 1. The train carries 15 containers per day. 2. On Fridays, the train carries an extra 12 containers, so it carries 15 + 12 = 27 containers per day. 3. The following Monday, the train carries an additional 26 containers, so it carries 27 + 26 = 53 containers per day. 4. On Wednesday, the load decreases by 32 containers, so it carries 53 - 32 = 21 containers per day. 5. For a particular trip, the train is coupled with 2 more containers, so it carries 21 + 2 = 23 containers per day. 6. After it makes one stop, an additional 48 containers are loaded onto the train, so it carries 23 + 48 = 71 containers per day. Therefore, the train is carrying 71 containers at this point.
Expected answer: 71
Correct? Yes
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?
CodeLlama 34B:
Reasoning: The farmer had 39 + 33 = <<39+33=72>>72 lemons in total. 12 lemons got spoiled, so he had 72 - 12 = <<72-12=60>>60 lemons left. He used 23 lemons to make lemonade, so he had 60 - 23 = <<60-23=37>>37 lemons left after making the lemonade. ### 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?
CodeLlama 34B:
Reasoning: The farmer had 39 + 33 = <<39+33=72>>72 lemons in total. 24 lemons got spoiled, so he had 72 - 24 = <<72-24=48>>48 lemons left. He used 23 lemons to make lemonade, so he had 48 - 23 = <<48-23=25>>25 lemons left after making the lemonade. ### 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?
CodeLlama 34B:
Reasoning: The bee collects 15 nectar droplets from each of the 33 flowers it visits in an hour. Therefore, it collects a total of 15 x 33 = <<15*33=495>>495 nectar droplets in an hour. If the bee started with 26 nectar droplets, it now has 495 + 26 = <<495+26=521>>521 nectar droplets. ### 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?
CodeLlama 34B:
Reasoning: The bee initially had 49 nectar droplets. It collected 15 nectar droplets from each of the 33 flowers it visited in an hour, for a total of 15 x 33 = <<15*33=495>>495 nectar droplets in an hour. Therefore, the bee now has 49 + 495 = <<49+495=544>>544 nectar droplets. ### 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?
CodeLlama 34B:
Let's start by identifying the information given in the problem: 1. The company produces 36 marshmallow packs in an hour. 2. They add an extra 350 marshmallows to their daily production, which is distributed evenly over 7 hours of their working day. 3. They add another 6 marshmallow packs to their hourly production. 4. They end up producing 43 less packs per hour than their goal. Now, let's analyze the information: 1. The company produces 36 marshmallow packs in an hour, so their hourly production is 36 packs. 2. They add an extra 350 marshmallows to their daily production, which is distributed evenly over 7 hours of their working day. This means that they add 350/7 = 50 marshmallows per hour to their production. 3. They add another 6 marshmallow packs to their hourly production, so their new hourly production is 36 + 6 = 42 packs per hour. 4. They end up producing 43 less packs per hour than their goal, so their new hourly production is 42 - 43 = -1 pack per hour. Therefore, the company is now producing -1 marshmallow pack per hour.
Expected answer: 49
Correct? No
Problem: A wizard casts a spell that produces 882 glimmering lights over a span of 21 days. That's an average of how many lights a day? In comparison, another wizard casts a spell that produces 460 glowing orbs in 20 days. What is the daily average here? Now, let's assume that the difference in their daily averages times the second wizard's daily average is a magical constant represented by 'n'. Can you find out what 'n' is?
CodeLlama 34B:
To find the daily average of the first wizard's spell, we need to divide the total number of lights by the number of days: 882 / 21 = 42 So, the first wizard produces an average of 42 glimmering lights per day. To find the daily average of the second wizard's spell, we need to divide the total number of orbs by the number of days: 460 / 20 = 23 So, the second wizard produces an average of 23 glowing orbs per day. Now, let's find the value of 'n': n = (42 - 23) x 23 = 42 x 23 - 23 x 23 = 969 So, the magical constant 'n' is equal to 969.
Expected answer: 437
Correct? No
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?
CodeLlama 34B:
To create the limited edition candy, the candy factory uses the following components: 1. Special Mix: * Sugar Rush: 14 base ingredients * Candy Twirl: 25 base ingredients * Jawbreaker: 16 base ingredients * Extra goodies: 43 sweets 2. Uniquely crafted sweets: 7 sweets 3. One of each flavor from the 20 different flavored candies (excluding 19 of them): 1 sweet 4. Experimental sweets: 3 sweets (removed) Therefore, the total count of various components used in creating this limited edition candy is: 14 + 25 + 16 + 43 + 7 + 1 + 3 = 116 ### Answer: 116
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?
CodeLlama 34B:
Let's start by identifying the number of officers on duty at the beginning of the day: * North district: 32 officers * South district: 33 officers * Downtown district: 29 officers Total number of officers on duty at the beginning of the day: 32 + 33 + 29 = 94 officers Now, let's consider the transfers and additions that occurred during the day: * 21 officers from the downtown district were transferred elsewhere, leaving 29 - 21 = <<29-21=8>>8 officers on duty in the downtown district. * 39 officers were added to the remaining duty force, bringing the total number of officers on duty to 94 + 39 = <<94+39=133>>133 officers. * 14 officers joined the force, bringing the total number of officers on duty to 133 + 14 = <<133+14=147>>147 officers. Therefore, by the end of the day, there were 147 officers on duty.
Expected answer: 126
Correct? No
Problem: The distance between the Moon and the Earth changes throughout the month. On one particular day, the distance was 36 million kilometers but decreased by 19 million kilometers later in the month. Then it increased again by 11 million kilometers. If that distance, in millions of kilometers, times 19 minus 27 equals to a certain value, what is the value?
CodeLlama 34B:
Let's call the distance between the Moon and the Earth on the first day of the month "d". On the first day of the month, the distance is 36 million kilometers. Later in the month, the distance decreases by 19 million kilometers, so the new distance is: d - 19 = 17 million kilometers Then, the distance increases again by 11 million kilometers, so the new distance is: 17 + 11 = 28 million kilometers Now, we need to find the value of d. We know that the distance decreased by 19 million kilometers, so we can set up the equation: d - 19 = 28 Solving for d, we get: d = 28 + 19 = 47 So, the distance between the Moon and the Earth on the first day of the month is 47 million kilometers. Now, we need to find the value of the expression "d times 19 minus 27". We can simplify this expression as follows: d times 19 minus 27 = 47 times 19 minus 27 = 893 - 27 = 866 Therefore, the value of the expression "d times 19 minus 27" is 866.
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?
CodeLlama 34B:
Let's first calculate the distance covered by the first tiger: The first tiger took two steps, each with a length of 9 meters, so it covered 2 x 9 = 18 meters. Then it leaped 44 meters, so it covered a total distance of 18 + 44 = 62 meters. Now, let's calculate the distance covered by the second tiger: The second tiger ran 23 meters and then leaped 46 meters, so it covered a total distance of 23 + 46 = 69 meters. However, it then retraced the distance equal to the first tiger's steps and leap, which is 18 + 44 = 62 meters. Therefore, the second tiger covered a total distance of 69 - 62 = 7 meters. Therefore, the second tiger covered a final distance of 7 meters.
Expected answer: 7
Correct? Yes
Problem: A toothpaste factory produces 26 tubes of toothpaste every hour. On Sundays, they work for 7 hours and produce additional 8 tubes of toothpaste. So, in one Sunday, they produce ((26 * 7) + 8) tubes. The following Monday, they continue their production by adding another 31 tubes to their Sunday's total. In parallel, in the packaging department, they have 50 empty boxes. They use 19 of them for another department, leaving them with (50 - 19) boxes. The total number of toothpaste tubes ready is calculated by adding the packaged boxes number with Monday's production. On Tuesday, they produced an additional 48 tubes of toothpaste. What is the total number of produced toothpaste tubes until Tuesday, inclusive?
CodeLlama 34B:
The total number of produced toothpaste tubes until Tuesday, inclusive, is calculated as follows: 1. On Sunday, they produced ((26 * 7) + 8) tubes. 2. On Monday, they produced 31 tubes. 3. On Tuesday, they produced 48 tubes. 4. The total number of produced toothpaste tubes until Tuesday, inclusive, is ((26 * 7) + 8) + 31 + 48 = 265 + 31 + 48 = 344 tubes. Therefore, the total number of produced toothpaste tubes until Tuesday, inclusive, is 344 tubes.
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?
CodeLlama 34B:
The unicorn has 42 rainbow pebbles at first. Then, it finds 26 more rainbow pebbles, so it has 42 + 26 = 68 rainbow pebbles. It 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 = 101 rainbow pebbles and 44 dreamberries. Finally, the unicorn finds 40 magical dandelions and adds them to its stash, but it loses 14, so it has 101 rainbow pebbles, 44 dreamberries, and 40 - 14 = 26 magical dandelions. Therefore, the unicorn has 101 rainbow pebbles, 44 dreamberries, and 26 magical dandelions altogether after these events.
Expected answer: 171
Correct? No
Problem: A pirate captain has a treasure chest containing 23 types of jewels. Each type has 28 jewels. Tired from his adventure, he mistakenly lost 40 jewels on his way back to his ship. The next day, he luckily found 16 jewels from a deserted island. How many jewels does he have now in his treasure chest?
CodeLlama 34B:
The pirate captain has 23 types of jewels, each with 28 jewels. This means he has a total of 23 x 28 = 644 jewels. He mistakenly lost 40 jewels on his way back to his ship, so he now has 644 - 40 = 604 jewels. The next day, he luckily found 16 jewels from a deserted island. This means he now has 604 + 16 = 620 jewels in his treasure chest. Therefore, the pirate captain has 620 jewels in his treasure chest.
Expected answer: 620
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?
CodeLlama 34B:
To find the total energy emitted by the star, we need to add the energy released during the explosion to the energy produced by the star's nuclear reactions. First, let's calculate the energy produced by the star's nuclear reactions: 38 neutrons x 18 = 648 energy units Next, let's calculate the energy released during the explosion: 6 + 25 = 31 energy units Finally, we add the two energies together to get the total energy emitted by the star: 648 + 31 = 679 energy units Therefore, the star emits 679 energy units.
Expected answer: 787
Correct? No
Problem: A gardener planted 13 Sunflowers in his garden. The next day, he worked out that he needed to plant more, with the number being calculated as 37 times the number of petals on one sunflower, which is 5, minus 18. On the following day, he subtracted 10 flowers from that number, then added his initial sunflowers back, creating a new total. Meanwhile, he figured out that in a special part of his garden, ideal for 92 orchids he had, each spot can hold 23, so he calculated how many spots needed. By the end of the week, he summed up the total number of plants he worked on and the spots needed, then he doubled that total for no particular reason. How many did he end up with?
CodeLlama 34B:
The gardener planted 13 Sunflowers in his garden. The next day, he worked out that he needed to plant more, with the number being calculated as 37 times the number of petals on one sunflower, which is 5, minus 18. On the following day, he subtracted 10 flowers from that number, then added his initial sunflowers back, creating a new total. Meanwhile, he figured out that in a special part of his garden, ideal for 92 orchids he had, each spot can hold 23, so he calculated how many spots needed. By the end of the week, he summed up the total number of plants he worked on and the spots needed, then he doubled that total for no particular reason. How many did he end up with? Answer: 13 + (37 x 5 - 18) + 13 - 10 + 92 x 23 = 13 + 185 + 13 - 10 + 2086 = 2249. Doubled: 2249 x 2 = 4498.
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?
CodeLlama 34B:
To find the total number of flies that all the frogs catch in a day, we need to multiply the number of frogs by the number of flies each frog can catch in a day. Number of frogs = 18 Number of flies each frog can catch in a day = 21 Total number of flies caught by all the frogs in a day = 18 x 21 = 378 Therefore, all the frogs in the pond catch a total of 378 flies in a day.
Expected answer: 378
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?
CodeLlama 34B:
The community center has a total of 21 + 22 = 43 chairs in the main meeting room for the event.
Expected answer: 43
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?
CodeLlama 34B:
There are currently 14 elephants in the conservation park. 11 new baby elephants were born, so the total number of elephants in the park is now 14 + 11 = 25. The park also received 25 more elephants from various rescues, so the total number of elephants in the park is now 25 + 25 = 50. Therefore, there are 50 elephants in the park now.
Expected answer: 50
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?
CodeLlama 34B:
Let's start by solving the first equation: y = number of real stones left g = value of the chest We know that y is multiplied by itself and then 37 is subtracted to get g. So, we can write: g = y^2 - 37 We also know that 39 of the stones are fake, so we can find y by subtracting 39 from the total number of stones: y = 23 + 30 - 39 = 22 Now we can substitute y into the equation for g: g = 22^2 - 37 = 484 Now let's move on to the second equation: x = number of rubies left g = value of the chest We know that x is subtracted from the value of the first chest (g) to get a new value. So, we can write: g - x = g We also know that 540 rubies were equally shared amongst 45 pirates, so each pirate got 540/45 = 12 rubies. But then 3 rubies were lost in the division, so each pirate actually got 12 - 3 = 9 rubies. So, we can find x by multiplying the number of pirates by the number of rubies each pirate got: x = 45 \* 9 = 405 Now we can substitute x into the equation for g: g - x = 484 - 405 = 79 Now let's move on to the third equation: s = number of pearls and zirconias left m = value of the remaining treasure We know that s is subtracted from the new value to determine the value of the remaining treasure. So, we can write: m = g - x - s We also know that there were 23 pearls and 11 zirconias, but 9 pieces had to be discarded due to damage. So, we can find s by subtracting the number of damaged pieces from the total number of pearls and zirconias: s = 23 + 11 - 9 = 15 Now we can substitute s into the equation for m: m = 79 - 15 = 64 Therefore, the value of the remaining treasure is 64.
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?
CodeLlama 34B:
Let's break down the calculation: 1. Initial confirmed sightings: 6 2. Additional sightings over the next 14 days: 504 3. Daily average of additional sightings: 504 / 14 = 36.14 4. Subtract initial confirmed sightings: 36.14 - 6 = 30.14 5. Maximum number of sightings recorded in one day: 9 6. Subtract the number typically dismissed as random: 9 - 3 = 6 7. Multiply the result by the daily average: 30.14 x 6 = 180.84 Therefore, according to this calculation, there are approximately 180.84 UFO sightings in the small city.
Expected answer: 180
Correct? No
Problem: A blanket maker has 5 square patches of blue material. She wants to make an intricate design that requires her to subtract this from 26*25 square patches of red material. Then, she wants to compare this number to her stock of green material, which is 48*21 square patches, by subtracting the number of red patches from the green patches. How many patches is the difference between her stock of green patches and the red patches needed for the design?
CodeLlama 34B:
Let's break this down step by step: 1. The blanket maker wants to make an intricate design that requires her to subtract 5 square patches of blue material from 26*25 square patches of red material. 26*25 = 650 650 - 5 = 645 So, the number of red patches needed for the design is 645. 1. The blanket maker wants to compare this number to her stock of green material, which is 48*21 square patches. 48*21 = 984 984 - 645 = 339 So, the difference between her stock of green patches and the red patches needed for the design is 339. Therefore, the answer is 339.
Expected answer: 363
Correct? No
Problem: Lemonville is a small village known for its lemon trees. One year, the villagers picked 38 baskets of lemons from the trees near the river and 24 baskets from the ones near an old well. From the trees near the school, they picked 16 more baskets and from the trees near the mayor's house, they picked 13 more baskets. They realized that their lemons were heavier and they could extract more juice so they decided to get 35 baskets to make lemonade. If each basket of lemons could produce 14 bottles of lemonade, how many bottles of lemonade would they get from the remaining baskets?
CodeLlama 34B:
To find out how many bottles of lemonade the villagers would get from the remaining baskets, we need to first find out how many baskets they have in total. Let's start by adding up the number of baskets they picked from the trees near the river, the old well, the school, and the mayor's house: 38 + 24 + 16 + 13 = 91 So, the villagers have 91 baskets of lemons in total. Now, let's find out how many bottles of lemonade they can make from the remaining baskets. They want to make 35 baskets of lemonade, so they need to find out how many baskets they have left after making 35 baskets. 91 - 35 = 56 They have 56 baskets left, and each basket can produce 14 bottles of lemonade, so they can make a total of: 56 x 14 = 812 bottles of lemonade from the remaining baskets. Therefore, the villagers can make 812 bottles of lemonade from the remaining baskets.
Expected answer: 784
Correct? No
Problem: Amy found 21 seashells in the sandbox, but gave 15 of them to her sister. The next day, she found another group of seashells that was 13 more than the amount she had remaining from the previous day. She also found an additional 49. Being a generous sister, she gave 23 to her brother and 27 to her cousin. How many seashells does Amy have left now?
CodeLlama 34B:
Let's start by using the information that Amy found 21 seashells in the sandbox and gave 15 of them to her sister. This means that Amy has 21 - 15 = 6 seashells left. The next day, Amy found another group of seashells that was 13 more than the amount she had remaining from the previous day. This means that she found 6 + 13 = 19 seashells. Amy also found an additional 49 seashells, so she now has 19 + 49 = 68 seashells. Being a generous sister, Amy gave 23 seashells to her brother and 27 seashells to her cousin. This means that she has 68 - 23 - 27 = 18 seashells left. Therefore, Amy has 18 seashells left.
Expected answer: 18
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?
CodeLlama 34B:
In the first round, Princess Anna added 7 and 10, which gave her a result of 17. In the second round, she thought of a number 29. She subtracted the result from the first round (17) from 29, which gave her a result of 12. Then, she subtracted 8 more from that result, which gave her a result of 4. In the final round, Princess Anna added the results from the first and second round (17 + 4 = 21). She then multiplied the sum by the result from the second round (21 x 4 = 84). Therefore, the final result of the Princess's game was 84.
Expected answer: 84
Correct? Yes
Problem: Ellen had 15 dollars. Meanwhile, Sam had 48 dollars but then he gave some money to Ellen. After Sam gave his money to Ellen, he had as much money as Ellen originally had. Then, Sam got 24 dollars from his brother. How much money does Sam have now?
CodeLlama 34B:
Let's start by identifying the information we have: * Ellen had 15 dollars. * Sam had 48 dollars. * Sam gave some money to Ellen. * After Sam gave his money to Ellen, he had as much money as Ellen originally had. * Sam got 24 dollars from his brother. Now, let's analyze the information: * Ellen had 15 dollars, so Sam gave her 15 dollars. * After Sam gave his money to Ellen, he had as much money as Ellen originally had, which means Sam had 15 dollars left. * Sam got 24 dollars from his brother, so now he has 15 + 24 = 39 dollars. Therefore, Sam has 39 dollars now.
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?
CodeLlama 34B:
To find the length of the river that the scientists were able to study, we need to subtract the inaccessible portion from the total length of the river and tributary. Total length of river and tributary = 33 + 19 = 52 kilometers Inaccessible portion = 30 kilometers Length of river that can be studied = 52 - 30 = 22 kilometers Therefore, the scientists were able to study 22 kilometers of the river.
Expected answer: 22
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?
CodeLlama 34B:
Let's start by finding the number of shots in the first photographer's collection. The first photographer took 34 shots at a wedding, but then removed 19 of them because they were out of focus. So, the number of shots in the first photographer's collection is: 34 - 19 = 15 The first photographer then took an additional 21 shots at a different event. So, the total number of shots in the first photographer's collection is: 15 + 21 = 36 The first photographer then added 23 more shots to their collection from a third event. So, the final number of shots in the first photographer's collection is: 36 + 23 = 59 Now, let's find the number of shots in the second photographer's collection. The second photographer took 880 shots at a large event and selected every 40th shot for their collection. So, the number of shots in the second photographer's collection is: 880 / 40 = 22 Now, let's add the number of shots in the first photographer's collection to the number of shots in the second photographer's collection to find the total number of shots in their collections combined: 59 + 22 = 81 Therefore, the total number of shots in the two photographers' collections combined is 81.
Expected answer: 81
Correct? Yes
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?
CodeLlama 34B:
Let's break this down step by step: 1. The pirate found a treasure chest containing 3 times the amount of his previous loot of 13 gold coins. 2. So, the treasure chest contained 3 x 13 = 39 gold coins. 3. The pirate spent 22 gold coins for the crew's rum. 4. So, the pirate has 39 - 22 = 17 gold coins left. 5. The pirate discovered another loot of 47 gold coins. 6. So, the pirate has 17 + 47 = 64 gold coins now. Therefore, the pirate has 64 gold coins now.
Expected answer: 64
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?
CodeLlama 34B:
Let's first calculate the hiker's original daily average: 900 miles / 36 days = 25 miles/day Now, let's calculate the new daily average after the hiker increases his daily average to 16 miles: (900 miles - 16 miles) / (36 days - 1 day) = 884 miles / 35 days = 25.2 miles/day So, the hiker's new daily average is 25.2 miles/day. Now, let's calculate the number of days the hiker saved by finding the shortcut: 4 days \* 25.2 miles/day = 100.8 miles The hiker also saved 40 days due to the friendly traveler's advice. 40 days \* 25.2 miles/day = 1008 miles The hiker also saved 21 days due to good weather. 21 days \* 25.2 miles/day = 521.2 miles Adding up the total number of miles saved, we get: 100.8 miles + 1008 miles + 521.2 miles = 1629.8 miles Therefore, the hiker saved a total of 1629.8 miles on his journey.
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?
CodeLlama 34B:
To find the total number of pillows the company manufactured in a day after accounting for the losses, we need to subtract the number of pillows lost due to machine errors from the total number of pillows produced in a day. Let's first calculate the total number of pillows produced in a day: 33 pillows/hour x 24 hours/day = 792 pillows/day Now, let's subtract the number of pillows lost due to machine errors: 792 - 43 = 750 pillows/day Therefore, the total number of pillows the company manufactured in a day after accounting for the losses is 750 pillows.
Expected answer: 749
Correct? No
Problem: In a Castle, there are 5 rooms in one wing. The other wing has 216 bricks. Nowadays, there's a strange rule: one room is equivalent to 36 bricks. Following this, if we have to calculate the sum of total rooms from both wings by converting the number of bricks to the number of rooms. How many rooms would be considered in total according to this rule?
CodeLlama 34B:
If one room is equivalent to 36 bricks, then we can convert the number of bricks to the number of rooms by dividing the number of bricks by 36. In the first wing, there are 5 rooms, so we don't need to convert anything. In the second wing, there are 216 bricks, so we divide by 36 to get the number of rooms: 216 Γ· 36 = 6 So, there are 5 rooms in the first wing and 6 rooms in the second wing, for a total of 11 rooms.
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?
CodeLlama 34B:
The player scored 15 goals per match, so they scored a total of 15 x 31 = 465 goals in the 31 matches. However, due to the error, 43 of those goals were discounted, leaving 465 - 43 = 422 goals. Then, 40 goals were awarded back to the player, so they now have 422 + 40 = 462 goals. Finally, after a reevaluation of the matches, 26 of those goals were deducted from the player again, leaving 462 - 26 = 436 goals. Therefore, 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?
CodeLlama 34B:
Reasoning: 1. The aquarium has 9 tanks, each with 49 fish. 2. 5 fish are relocated from one tank. 3. The new total number of fish in the aquarium is 9 x 49 - 5 = <<9x49-5=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?
CodeLlama 34B:
Reasoning: 1. The aquarium has 9 tanks, each with 47 fish. 2. 5 fish are relocated from one tank. 3. The new total number of fish in the aquarium is 9 x 47 - 5 = <<9x47-5=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?
CodeLlama 34B:
To solve this problem, we need to follow the given steps in the correct order. 1. Jeremy has 14 cards. 2. He discards 19 of his cards, so he has 14 - 19 = <<14-19=-5>>-5 cards left. 3. He gains 32 more cards from the deck, so he has -5 + 32 = <<-5+32=27>>27 cards now. Therefore, Jeremy has 27 cards now.
Expected answer: 27
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?
CodeLlama 34B:
Let's break down the problem step by step: 1. The first clock ticks 504 times in 42 minutes, so its rate is 504/42 = 11.76 ticks per minute. 2. The second clock ticks 279 times in 31 minutes, so its rate is 279/31 = 8.97 ticks per minute. 3. If we add 34 to the rate of the second clock, it becomes 8.97 + 34 = 42.97 ticks per minute. 4. If we multiply the rate of the first clock by 35, it becomes 11.76 x 35 = 405.6 ticks per minute. 5. If we subtract 41 from the manipulated rate of the first clock, it becomes 405.6 - 41 = 364.6 ticks per minute. 6. Finally, if we subtract the rate of the second clock (after adding 34) from the manipulated rate of the first clock, we get 364.6 - 42.97 = 321.63 ticks per minute. Therefore, the final value is 321.63 ticks per minute.
Expected answer: 336
Correct? No
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?
CodeLlama 34B:
Let's start by using the information that the rainfall decreased by 6 cm on Wednesday. This means that the rainfall on Wednesday was 39 cm - 6 cm = 33 cm. Then, we can use the information that the rainfall decreased by 31 cm on Thursday. This means that the rainfall on Thursday was 33 cm - 31 cm = 2 cm. Therefore, Nina noted a rainfall of 2 cm on Thursday.
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?
CodeLlama 34B:
Let's break this down step by step: 1. The enthusiast reported seeing 50 UFOs in the first month. 2. However, a later investigation revealed that 36 of these were actually meteors, leaving 14 actual UFO sightings. 3. In the second month, the enthusiast reported seeing 41 UFOs. 4. The enthusiast also reported seeing the revised (i.e., actual) number of UFO sightings from the previous month, which is 14. 5. The enthusiast also reported seeing an additional 5 UFOs. So, the total number of UFO sightings reported by the enthusiast in the second month is: 41 + 14 + 5 = 59 Therefore, the enthusiast reported seeing 59 UFOs in the second month.
Expected answer: 60
Correct? No
Problem: A cat started playing with yarn balls. In her first game, she managed to accumulate 5 yarn balls. In her second game, she got as many balls as the square of what she obtained in the first game plus 8 more. Finally, she lost some of her balls in her third game due to a playful dog. She ended the game with a number of balls which is 25 times the difference between 45 and what she accumulated from the second game. How many yarn balls does the cat have now?
CodeLlama 34B:
Let's break this problem down step by step: 1. In her first game, the cat accumulated 5 yarn balls. 2. In her second game, she got as many balls as the square of what she obtained in the first game plus 8 more. So, she got (5)^2 = 25 balls in her second game. 3. In her third game, she lost some of her balls due to a playful dog. Let's say she lost x balls in her third game. 4. At the end of her third game, she had 25 times the difference between 45 and what she accumulated from the second game. So, she had 25 times (45 - 25) = 25 times 20 = 500 balls. 5. Since she lost x balls in her third game, we can set up the equation: 500 - x = 500. 6. Solving for x, we get x = 0. 7. So, the cat ended her third game with 500 balls. Therefore, the cat has 500 yarn balls now.
Expected answer: 300
Correct? No
Problem: A basket contains 41 balls. The balls are split into two types - tennis balls and cricket balls. If we remove 16 balls from the basket, we get cricket balls. When 9 ping pong balls and 21 basketballs are added to the basket, what is the total number of balls in the basket?
CodeLlama 34B:
Let's start by identifying the information given in the problem: * The 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? Now, let's analyze the information: * If we remove 16 balls from the basket, we get cricket balls. This means that the basket originally contained 41 - 16 = 25 cricket balls. * 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 = 71 balls. Therefore, the total number of balls in the basket is 71 balls.
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?
CodeLlama 34B:
To find the total number of squares needed to complete the quirky clock, we need to follow the steps your friend took: 1. Subtract 32 from 37: 37 - 32 = 5 2. Add 42 to the result: 5 + 42 = 47 3. Subtract 37 from the result: 47 - 37 = 10 4. Add 25 more squares for minutes: 10 + 25 = 35 5. Add 28 more squares for seconds: 35 + 28 = 63 6. Since your friend didn't have enough material, they reduced the total number of squares by 23: 63 - 23 = 40 7. Finally, add the number they figured out at the beginning (for hours) to this reduced number: 40 + 32 = 72 Therefore, your friend needs 72 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?
CodeLlama 34B:
To find the total amount of oranges produced by the farm, we need to first calculate the total amount of oranges produced in a single day using the new method. Let's call the typical daily production of oranges "x" pounds. Since the farm produced 2 times the typical daily production, the total amount of oranges produced in a single day is 2x pounds. Since the harvest period lasted for 15 days, the total amount of oranges produced during the harvest period is 2x pounds x 15 days = 30x pounds. Now, let's add the 16 pounds of rare orange variant to the total amount of oranges produced during the harvest period: 30x pounds + 16 pounds = 30x + 16 pounds Therefore, the total amount of oranges produced by the farm is 30x + 16 pounds. To find the value of x, we can set up the following equation: 2x + 16 = 30x Subtracting 16 from both sides gives us: 2x = 14x Dividing both sides by 2 gives us: x = 7x Dividing both sides by 7 gives us: x = 10 Therefore, the typical daily production of oranges is 10 pounds. The total amount of oranges produced by the farm during the harvest period is: 30x + 16 = 30(10) + 16 = 300 + 16 = 316 pounds So, the farm produced 316 pounds of oranges in total.
Expected answer: 856
Correct? No
Problem: A bus has 37 passengers. At the next stop, 20 more passengers get on. Before the bus reaches to the next stop, 44 passengers get off. Now, suppose this remaining number of passengers each pays an $11 fare, but the bus company also deducts a $14 service fee from the total fare. How much revenue does the bus company get?
CodeLlama 34B:
First, let's calculate the total fare for the remaining passengers: 11 x 37 = 417 Next, let's calculate the service fee for the remaining passengers: 14 x 37 = 538 Now, let's subtract the service fee from the total fare: 417 - 538 = -121 The bus company gets a negative revenue of -121. This means that the bus company loses money on this trip.
Expected answer: 129
Correct? No
Problem: A pirate found a treasure chest with 13 emeralds, 42 rubies, and 19 sapphires. He gave away 43 of these precious gems to his crewmates. How many gems did the pirate have left?
CodeLlama 34B:
The pirate had 13 emeralds, 42 rubies, and 19 sapphires in total. If he gave away 43 gems, he gave away 13 emeralds, 42 rubies, and 19 sapphires. So, the pirate had 13 - 13 = 0 emeralds left. He had 42 - 42 = 0 rubies left. He had 19 - 19 = 0 sapphires left. Therefore, the pirate had 0 gems left.
Expected answer: 31
Correct? No
Problem: A certain reserve has 16 ginger giraffes. They then bring in the same number of golden giraffes as they had of the ginger ones. Later, they decide to add another group of 46 greyish giraffes. What is the total number of giraffes in the reserve now?
CodeLlama 34B:
Reasoning: 1. The reserve had 16 ginger giraffes. 2. They brought in the same number of golden giraffes, which is also 16. 3. So, the total number of giraffes in the reserve is 16 + 16 = <<16+16=32>>32. 4. They added another group of 46 greyish giraffes. 5. So, the total number of giraffes in the reserve now is 32 + 46 = <<32+46=78>>78. ### Answer: 78
Expected answer: 78
Correct? Yes
Problem: After successfully populating the reserve with various giraffes, unfortunately, 2 of the greyish giraffes suddenly moved out of the reserve. How many giraffes are there now in the reserve after the 2 greyish giraffes left?
CodeLlama 34B:
Reasoning: 1. The reserve had 78 giraffes in total. 2. 2 greyish giraffes left the reserve. 3. So, the total number of giraffes in the reserve now is 78 - 2 = <<78-2=76>>76. ### Answer: 76
Expected answer: 76
Correct? Yes
Problem: Let's reconsider the original scenario where the reserve started with ginger giraffes. But this time assume that the reserve initially had 42 ginger giraffes instead of 16. They again brought in the same number of golden giraffes as the ginger ones. Later, they decided to add another group of 46 greyish giraffes. What would be the total number of giraffes in the reserve now under this new scenario?
CodeLlama 34B:
Reasoning: 1. The reserve had 42 ginger giraffes initially. 2. They brought in the same number of golden giraffes, which is also 42. 3. So, the total number of giraffes in the reserve is 42 + 42 = <<42+42=84>>84. 4. They added another group of 46 greyish giraffes. 5. So, the total number of giraffes in the reserve now is 84 + 46 = <<84+46=130>>130. ### Answer: 130
Expected answer: 130
Correct? Yes
Problem: A turtle decides to swim. One day, it travels as many leagues as 11 plus 10, then multiplies that by 16 to get the total distance it swam that week. Later, it realized it had over calculated the distance by 41 leagues. What is the real distance it swam that week?
CodeLlama 34B:
Let's break this down step by step: 1. The turtle traveled as many leagues as 11 plus 10, which is 21 leagues. 2. It multiplied that by 16, which gives us 336 leagues. 3. It realized it had overcalculated the distance by 41 leagues. So, the real distance the turtle swam that week is: 336 - 41 = 295 leagues.
Expected answer: 295
Correct? Yes