Common Core Standard 3.OA.D.8
This standard covers the following:
Solve two-step word problems using the four operations. 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 chocolate factory initially had 33 chocolate bars. However, 6 of them were given away as samples to customers. Then, 3 of them were used for a quality control testing. How many chocolate bars are left in the factory?
Llama 3 70B:
Reasoning: The factory initially had 33 chocolate bars. 6 chocolate bars were given away as samples, leaving 33 - 6 = 27 chocolate bars. Then, 3 chocolate bars were used for quality control testing, leaving 27 - 3 = 24 chocolate bars. ### Answer: 24
Expected answer: 24
Correct? Yes
Problem: After performing inventory, the chocolate factory decided to match the number of remaining chocolate bars by producing new ones. How many chocolate bars are there at the factory now, after adding the new bars?
Llama 3 70B:
Reasoning: The factory had 24 chocolate bars left after the inventory. To match the number of remaining chocolate bars, they produced 24 new chocolate bars. Now, the total number of chocolate bars at the factory is 24 (initial) + 24 (new) = 48 chocolate bars. ### Answer: 48
Expected answer: 48
Correct? Yes
Problem: In a similar scenario, instead of starting with 33 chocolate bars, the factory had only 17 bars initially. After giving away 6 samples and using 3 bars for quality control tests, how many chocolate bars remain in the factory?
Llama 3 70B:
Reasoning: The factory initially had 17 chocolate bars. 6 chocolate bars were given away as samples, leaving 17 - 6 = 11 chocolate bars. Then, 3 chocolate bars were used for quality control testing, leaving 11 - 3 = 8 chocolate bars. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: Deckmaster Tim has been given 84 unique trading cards. After a generous friend gave him a package of 7 new cards, he added them to his collection. How many unique trading cards does Deckmaster Tim have now?
Llama 3 70B:
Reasoning: Deckmaster Tim initially had 84 unique trading cards. His friend gave him 7 new cards, so he now has 84 + 7 = 91 unique trading cards. ### Answer: 91
Expected answer: 91
Correct? Yes
Problem: Deckmaster Tim initially had 11 unique trading cards, instead of 84. If he were to add the same package of 7 new cards to his collection, how many unique trading cards would Deckmaster Tim have now?
Llama 3 70B:
Reasoning: Deckmaster Tim initially had 11 unique trading cards. His friend gave him 7 new cards, so he now has 11 + 7 = 18 unique trading cards. ### Answer: 18
Expected answer: 18
Correct? Yes
Problem: John has 5 dollars in his wallet. Later, he found an old birthday card with 86 dollars inside. After adding this to his wallet, how much money does John now have in his wallet?
Llama 3 70B:
Reasoning: John initially had $5 in his wallet. He then found $86 in the birthday card. To find the total amount of money John now has, we add the initial amount to the amount found: $5 + $86 = $91. ### Answer: $91
Expected answer: 91
Correct? Yes
Problem: After counting his money, John decides to buy a video game that costs 78 dollars. After paying for it, how much money does John have left in his wallet?
Llama 3 70B:
Reasoning: John had $91 in his wallet. He spent $78 on the video game. To find out how much money John has left, we subtract the cost of the video game from the initial amount: $91 - $78 = $13. ### Answer: $13
Expected answer: 13
Correct? Yes
Problem: Let's adjust the original situation a bit: suppose that initially, John had only 2 dollars in his wallet, instead of 5. After finding the same 5 dollars inside the old birthday card and adding it to his wallet, how much money does John now have in his wallet?
Llama 3 70B:
Reasoning: John initially had $2 in his wallet. He then found $86 in the birthday card. To find the total amount of money John now has, we add the initial amount to the amount found: $2 + $86 = $88. ### Answer: $88
Expected answer: 7
Correct? No
Problem: At a campfire night, 26 marshmallows were roasted initially. Later in the night, an additional 12 marshmallows were roasted. The next day morning, 7 fresh marshmallows were roasted for breakfast. How many marshmallows were roasted in total?
Llama 3 70B:
Reasoning: Let's break down the number of marshmallows roasted at each stage: * Initially, 26 marshmallows were roasted. * Later in the night, an additional 12 marshmallows were roasted, making a total of 26 + 12 = 38 marshmallows. * The next day morning, 7 fresh marshmallows were roasted, adding to the total. To find the total number of marshmallows roasted, we add the marshmallows roasted in all stages: 38 + 7 = 45. ### Answer: 45
Expected answer: 45
Correct? Yes
Problem: The sun is 56 million miles away from a planet. On this planet, every mile corresponds to one unit of brightness for their daylight. What is the total brightness of their daylight, measured in these units?
Llama 3 70B:
Reasoning: Since every mile corresponds to one unit of brightness, the total brightness of their daylight is equal to the distance of the sun from the planet, which is 56 million miles. Therefore, the total brightness of their daylight is 56,000,000 units. ### Answer: 56,000,000
Expected answer: 56
Correct? Yes
Problem: In a dense jungle, there are 42 monkeys living on trees. After a few months, the monkey population increased and 29 more monkeys are seen around. What is the total number of monkeys in the jungle now?
Llama 3 70B:
Reasoning: Initially, there were 42 monkeys in the jungle. After a few months, 29 more monkeys were seen, so we need to add 29 to the initial population to find the total number of monkeys now. Total number of monkeys = Initial population + Increase in population = 42 + 29 = 71 ### Answer: 71
Expected answer: 71
Correct? Yes
Problem: In the previous jungle monkey population query, we said that the original population was 42 monkeys. However, let's consider a possibility where there were initially only 26 monkeys before the 29 additional monkeys arrived. Can you calculate the total number of monkeys that would be there in the jungle now?
Llama 3 70B:
Reasoning: Initially, there were 26 monkeys in the jungle. After a few months, 29 more monkeys were seen, so we need to add 29 to the initial population to find the total number of monkeys now. Total number of monkeys = Initial population + Increase in population = 26 + 29 = 55 ### Answer: 55
Expected answer: 55
Correct? Yes
Problem: A pirate found an ancient chest filled with 16 emeralds. Excited, she continued her search and found another chest also filled with 16 emeralds. How many emeralds does the pirate have in total now?
Llama 3 70B:
Reasoning: The pirate found 16 emeralds in the first chest and 16 emeralds in the second chest. To find the total number of emeralds, we add the number of emeralds in each chest: 16 + 16 = 32. ### Answer: 32
Expected answer: 32
Correct? Yes
Problem: The pirate was thrilled with her find of 32 emeralds but the adventure had just begun. Suppose she had found two chests initially each filled with 45 emeralds instead of 16. How many emeralds would the pirate have in total now?
Llama 3 70B:
Reasoning: The pirate found 45 emeralds in the first chest and 45 emeralds in the second chest. To find the total number of emeralds, we add the number of emeralds in each chest: 45 + 45 = 90. ### Answer: 90
Expected answer: 90
Correct? Yes
Problem: There was a building with 28 windows on the ground floor. The owner decided to add 4 more windows to make it more presentable. Later, he went ahead to the next floor where there were already 51 windows. What is the total number of windows in the building now?
Llama 3 70B:
Reasoning: The owner added 4 windows to the ground floor, so now there are 28 + 4 = 32 windows on the ground floor. The total number of windows in the building is the sum of the windows on the ground floor and the windows on the next floor, which is 32 + 51 = 83. ### Answer: 83
Expected answer: 83
Correct? Yes
Problem: After a sudden storm passed through the town, the building owner was dismayed to discover that 64 of the windows in his building had been shattered by hail. After removing the shattered windows, how many windows are left unbroken in the building?
Llama 3 70B:
Reasoning: The building had 83 windows initially. After the storm, 64 windows were shattered, leaving 83 - 64 = 19 windows unbroken. ### Answer: 19
Expected answer: 19
Correct? Yes
Problem: Let's say the owner originally had 28 windows on the ground floor and decided to add just 4 more for better aesthetics. However, instead of 51 windows as in the previous scenario, suppose he only had 25 windows on the next floor. Now, how many windows are there in total in the building?
Llama 3 70B:
Reasoning: The owner added 4 windows to the ground floor, so now there are 28 + 4 = 32 windows on the ground floor. The total number of windows in the building is the sum of the windows on the ground floor and the windows on the next floor, which is 32 + 25 = 57. ### Answer: 57
Expected answer: 57
Correct? Yes
Problem: In a large vegetable garden, there were originally 93 cucumbers. But then, 13 cucumbers got eaten by insects. The gardener then removed an additional 9 cucumbers to prepare for dinner. How many cucumbers are left in the garden after the gardener removes the cucumbers for dinner?
Llama 3 70B:
Reasoning: There were originally 93 cucumbers in the garden. 13 cucumbers got eaten by insects, leaving 93 - 13 = 80 cucumbers. The gardener then removed 9 cucumbers, leaving 80 - 9 = 71 cucumbers. ### Answer: 71
Expected answer: 71
Correct? Yes
Problem: In the large vegetable garden, after the gardener removed the cucumbers for dinner, a group of children came and picked 50 cucumbers for a school project. How many cucumbers are left in the garden after the children took their cucumbers?
Llama 3 70B:
Reasoning: There were 71 cucumbers left in the garden after the gardener removed the cucumbers for dinner. The children picked 50 cucumbers, leaving 71 - 50 = 21 cucumbers. ### Answer: 21
Expected answer: 21
Correct? Yes
Problem: In the large vegetable garden, suppose that originally there were 93 cucumbers. But this time, insects ate 52 cucumbers instead of 13. After that, the gardener removed an additional 9 cucumbers to prepare for dinner. How many cucumbers are left in the garden after the gardener removed the cucumbers for dinner?
Llama 3 70B:
Reasoning: There were originally 93 cucumbers in the garden. Insects ate 52 cucumbers, leaving 93 - 52 = 41 cucumbers. The gardener then removed 9 cucumbers, leaving 41 - 9 = 32 cucumbers. ### Answer: 32
Expected answer: 32
Correct? Yes
Problem: On a sunny day at the beach, there were 80 beach balls initially. However, during a gusty period, 55 balls were taken by the wind and ended up in the ocean. How many beach balls are left on the beach?
Llama 3 70B:
Reasoning: We start with 80 beach balls initially. Then, 55 balls were taken away by the wind, leaving us with 80 - 55 = 25 beach balls. ### Answer: 25
Expected answer: 25
Correct? Yes
Problem: Following the gusty period at the beach that took away 55 beach balls, leaving some behind, 71 new colourful beach balls were delivered to the beach. How many beach balls are there now at the beach?
Llama 3 70B:
Reasoning: We had 25 beach balls left on the beach after the gusty period. Then, 71 new beach balls were delivered, so we add these to the existing ones: 25 + 71 = 96 beach balls. ### Answer: 96
Expected answer: 96
Correct? Yes
Problem: Let's imagine, instead of 55 beach balls being taken by the wind, only 21 beach balls ended up in the ocean. In that case, how many beach balls would be left on the beach?
Llama 3 70B:
Reasoning: We start with 80 beach balls initially. Then, 21 balls were taken away by the wind, leaving us with 80 - 21 = 59 beach balls. ### Answer: 59
Expected answer: 59
Correct? Yes
Problem: A chef has a special recipe that calls for 1 tablespoon of salt. He needs to prepare thirty identical meals plus an extra one for tasting purposes. In total, how many tablespoons of salt would he be needing?
Llama 3 70B:
Reasoning: The chef needs to prepare 30 identical meals, plus 1 extra meal for tasting purposes, so he needs to prepare a total of 30 + 1 = 31 meals. Since each meal requires 1 tablespoon of salt, the total amount of salt needed is 31 x 1 = 31 tablespoons. ### Answer: 31
Expected answer: 31
Correct? Yes
Problem: After preparing a total of 31 meals, the chef realizes he has a large container filled with 60 tablespoons of salt. Given the amount of salt he has already used, how many tablespoons does he have left in the container after making the meals?
Llama 3 70B:
Reasoning: The chef used 31 tablespoons of salt to prepare the 31 meals. He had 60 tablespoons of salt initially, so to find out how many tablespoons he has left, we subtract the amount used from the initial amount: 60 - 31 = 29 ### Answer: 29
Expected answer: 29
Correct? Yes
Problem: Sarah had 40 pens at the beginning of the month. Over the course of the month, she gave away 27 pens to her friends. Later, in a pen collection competition, Sarah noticed that the winner had 51 pens. How many more pens does she need to have in order to match the winner's collection?
Llama 3 70B:
Reasoning: Sarah had 40 pens initially and gave away 27 pens, so she has 40 - 27 = 13 pens left. The winner has 51 pens, and Sarah wants to match that collection. To find out how many more pens Sarah needs, we subtract the number of pens Sarah has from the number of pens the winner has: 51 - 13 = 38. ### Answer: 38
Expected answer: 38
Correct? Yes
Problem: In the earlier scenario, Sarah initially had 77 pens instead of 40. She still gave away 27 pens to her friends. Given her new initial number of pens, how many more pens does she now need to match the winner's collection of 51 pens?
Llama 3 70B:
Reasoning: Sarah had 77 pens initially and gave away 27 pens, so she has 77 - 27 = 50 pens left. The winner has 51 pens, and Sarah wants to match that collection. To find out how many more pens Sarah needs, we subtract the number of pens Sarah has from the number of pens the winner has: 51 - 50 = 1. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: In a towel factory, 12 new towels are produced in the morning and 35 more in the afternoon. In a separate section of the factory, there are already 8 towels that have been produced. How many towels are there in total in the factory?
Llama 3 70B:
Reasoning: In the morning, 12 new towels are produced, and in the afternoon, 35 more are produced. So, the total number of towels produced in a day is 12 + 35 = 47. There are already 8 towels in the separate section of the factory. To find the total number of towels in the factory, we add the number of towels produced in a day to the number of towels already in the factory: 47 + 8 = 55. ### Answer: 55
Expected answer: 55
Correct? Yes
Problem: In the towel factory, an updated report shows that instead of 35 towels, 73 new towels were actually produced in the afternoon, while the number of towels produced in the morning remains the same (12 towels). Keeping in mind that 8 towels were already produced, how many towels are there in total in the factory now?
Llama 3 70B:
Reasoning: In the morning, 12 new towels are produced, and in the afternoon, 73 new towels are produced. So, the total number of towels produced in a day is 12 + 73 = 85. There are already 8 towels in the separate section of the factory. To find the total number of towels in the factory, we add the number of towels produced in a day to the number of towels already in the factory: 85 + 8 = 93. ### Answer: 93
Expected answer: 93
Correct? Yes
Problem: A helicopter depot has 75 fuel tanks in storage. After a large fleet of helicopters refuel, there are only 44 tanks left. How many fuel tanks were used?
Llama 3 70B:
Reasoning: Let's find the difference between the initial number of fuel tanks and the number of fuel tanks left after the helicopters refueled. Initial number of fuel tanks = 75 Number of fuel tanks left = 44 Number of fuel tanks used = Initial number of fuel tanks - Number of fuel tanks left = 75 - 44 = 31 ### Answer: 31
Expected answer: 31
Correct? Yes
Problem: In the same helicopter depot scenario, suppose we start with the same amount of 75 fuel tanks in storage. But this time, after a different group of helicopters refuel, there are 22 tanks left instead of 44. Now, how many fuel tanks were used?
Llama 3 70B:
Reasoning: Let's find the difference between the initial number of fuel tanks and the number of fuel tanks left after the helicopters refueled. Initial number of fuel tanks = 75 Number of fuel tanks left = 22 Number of fuel tanks used = Initial number of fuel tanks - Number of fuel tanks left = 75 - 22 = 53 ### Answer: 53
Expected answer: 53
Correct? Yes
Problem: In the magical land of Unica, 33 unicorns have been spotted in the morning and the same number of unicorns are seen again in the afternoon. A pair of rare twin unicorns has joined the unicorns. How many unicorns are in Unica in total?
Llama 3 70B:
Reasoning: There are 33 unicorns in the morning and the same number in the afternoon, so there are 33 + 33 = 66 unicorns in total before the rare twin unicorns arrive. The pair of rare twin unicorns adds 2 more unicorns to the total. So, the total number of unicorns in Unica is 66 + 2 = 68. ### Answer: 68
Expected answer: 68
Correct? Yes
Problem: In the magical land of Unica, consider again the unicorns that were spotted. Supposedly instead of 33 unicorns in the morning, there were actually 58 unicorns. The same number of 33 unicorns are still seen in the afternoon, and the pair of rare twin unicorns is still there. Now, how many unicorns are in Unica in total?
Llama 3 70B:
Reasoning: There are 58 unicorns in the morning and 33 unicorns in the afternoon, so there are 58 + 33 = 91 unicorns in total before the rare twin unicorns arrive. The pair of rare twin unicorns adds 2 more unicorns to the total. So, the total number of unicorns in Unica is 91 + 2 = 93. ### Answer: 93
Expected answer: 93
Correct? Yes
Problem: Galaxy Man, a superhero, has been on 94 missions since he started his career. In 18 of these missions, he had to collaborate with other superheroes. How many missions did Galaxy Man complete on his own?
Llama 3 70B:
Reasoning: Galaxy Man has been on a total of 94 missions. Out of these, 18 missions were collaborations with other superheroes. To find the number of missions he completed on his own, we need to subtract the number of collaborative missions from the total number of missions. Number of solo missions = Total number of missions - Number of collaborative missions = 94 - 18 = 76 ### Answer: 76
Expected answer: 76
Correct? Yes
Problem: If instead of 94 missions, Galaxy Man had only been on 28 missions since the start of his career, with the same 18 missions involving other superheroes, how many missions would Galaxy Man have completed alone?
Llama 3 70B:
Reasoning: Galaxy Man has been on a total of 28 missions. Out of these, 18 missions were collaborations with other superheroes. To find the number of missions he completed on his own, we need to subtract the number of collaborative missions from the total number of missions. Number of solo missions = Total number of missions - Number of collaborative missions = 28 - 18 = 10 ### Answer: 10
Expected answer: 10
Correct? Yes
Problem: You have a total of 92 pairs of earrings in your collection. After hosting a flea market, you sold 45 pairs. How many pairs of earrings do you have left in your collection?
Llama 3 70B:
Reasoning: To find the number of pairs of earrings left, we need to subtract the number of pairs sold from the total number of pairs. Let's subtract 45 from 92: 92 - 45 = 47 ### Answer: 47
Expected answer: 47
Correct? Yes
Problem: Imagine instead of 92 pairs of earrings, you originally had 48 pairs in your collection. After selling 45 pairs in the flea market, how many pairs of earrings do you have left now in your collection?
Llama 3 70B:
Reasoning: To find the number of pairs of earrings left, we need to subtract the number of pairs sold from the total number of pairs. Let's subtract 45 from 48: 48 - 45 = 3 Wait, that's not right! You can't have 3 pairs left if you sold 45 pairs when you only had 48 to begin with. This means you sold more pairs than you had, which isn't possible. Let's re-think this: You sold 45 pairs, but you only had 48 pairs to begin with. This means you sold almost all of them, and you have very few pairs left. Let's subtract 45 from 48: 48 - 45 = 3 But this time, we know that 3 is not the correct answer. Since you can't sell more pairs than you have, we need to find the correct number of pairs left. Let's think about it... If you sold 45 pairs and you had 48 pairs to begin with, that means you sold almost all of them. You must have very few pairs left. The correct answer is: 48 - 45 = 3, but since you can't sell more pairs than you have, you must have sold 45 - 48 = -3 pairs too many. This means you actually have: 48 - 45 = 3, but 3 is too many, so you have: 48 - 45 = 3 - 3 = 0 You have 0 pairs left. ### Answer: 0
Expected answer: 3
Correct? No
Problem: In a new game, a player has just earned 12 XP points. To level up, the player needs a total of 73 XP points plus the initial amount they just earned. How many XP points does the player need to level up?
Llama 3 70B:
Reasoning: The player already has 12 XP points. To level up, they need a total of 73 XP points plus the initial 12 XP points they just earned. So, they need 73 XP points more. To find out how many XP points they need to level up, we add the initial 12 XP points to the 73 XP points needed: 73 + 12 = 85. ### Answer: 85
Expected answer: 85
Correct? Yes
Problem: The player, unfortunately, encounters a penalty and loses 33 XP points from the required total. How many XP points does the player need to level up now?
Llama 3 70B:
Reasoning: The player initially needed 85 XP points to level up. However, they encountered a penalty and lost 33 XP points from the required total. To find out how many XP points they need to level up now, we subtract the penalty from the initial required total: 85 - 33 = 52. ### Answer: 52
Expected answer: 52
Correct? Yes
Problem: Suppose the player initially earned 24 XP instead of the previous 12 XP. Following the same game rules, how many XP points would the player need to level up now?
Llama 3 70B:
Reasoning: The player already has 24 XP points. To level up, they need a total of 73 XP points plus the initial 24 XP points they just earned. So, they need 73 XP points more. To find out how many XP points they need to level up, we add the initial 24 XP points to the 73 XP points needed: 73 + 24 = 97. ### Answer: 97
Expected answer: 97
Correct? Yes
Problem: In a fantastical kingdom, there are 10 dragons. One day, 89 dragons from distant lands come to the kingdom for a grand gathering. How many dragons were in the kingdom after the gathering?
Llama 3 70B:
Reasoning: The kingdom initially had 10 dragons. Then, 89 more dragons arrived from distant lands. To find the total number of dragons in the kingdom after the gathering, we add the initial number of dragons to the number of dragons that arrived: 10 + 89 = 99. ### Answer: 99
Expected answer: 99
Correct? Yes
Problem: Considering that originally, there were 10 dragons in the kingdom and instead of having 89 additional dragons arriving, only 10 more dragons came for the grand gathering. How many dragons were in the kingdom for the gathering then?
Llama 3 70B:
Reasoning: The kingdom initially had 10 dragons. Then, 10 more dragons arrived from distant lands. To find the total number of dragons in the kingdom for the gathering, we add the initial number of dragons to the number of dragons that arrived: 10 + 10 = 20. ### Answer: 20
Expected answer: 20
Correct? Yes
Problem: Emily loves to pass her time by watching TV. One day, she decided to do a marathon of her favorite series. On the first day, she watched 34 episodes. Overwhelmed by the suspense, on the next day she watched 61 more episodes. How many episodes did Emily watch in total?
Llama 3 70B:
Reasoning: Emily watched 34 episodes on the first day. On the next day, she watched 61 more episodes. To find the total number of episodes she watched, we need to add the number of episodes she watched on both days. Total episodes = 34 + 61 = 95 ### Answer: 95
Expected answer: 95
Correct? Yes
Problem: Emily realized that she had made an error. Actually, on the first day, she had watched 23 episodes and not 34. With the 61 more episodes she watched the next day, how many episodes did Emily watch in total now?
Llama 3 70B:
Reasoning: Emily watched 23 episodes on the first day. On the next day, she watched 61 more episodes. To find the total number of episodes she watched, we need to add the number of episodes she watched on both days. Total episodes = 23 + 61 = 84 ### Answer: 84
Expected answer: 84
Correct? Yes
Problem: In a magical realm, a total of 58 dragons exist. However, 13 of them decided to migrate to another realm. How many dragons remain in the original realm?
Llama 3 70B:
Reasoning: If 13 dragons migrated to another realm, that means they are no longer in the original realm. To find the number of dragons that remain, we need to subtract 13 from the total number of dragons. 58 (total dragons) - 13 (dragons that migrated) = 45 ### Answer: 45
Expected answer: 45
Correct? Yes
Problem: In the same magical realm, let's now consider a slightly altered scenario. What if, instead of 13 dragons leaving, only 1 dragon had migrated to another realm? How many dragons would remain in the original realm then?
Llama 3 70B:
Reasoning: If only 1 dragon migrated to another realm, that means we need to subtract 1 from the total number of dragons to find the number of dragons that remain. 58 (total dragons) - 1 (dragon that migrated) = 57 ### Answer: 57
Expected answer: 57
Correct? Yes
Problem: A town's water reservoir contains 87 million liters of water. To supply water for various needs, the town decides to use 73 million liters of water from the reservoir. What is the remaining amount of water in the reservoir in millions of liters?
Llama 3 70B:
Reasoning: The town starts with 87 million liters of water. They use 73 million liters, so we need to subtract 73 from 87 to find the remaining amount. 87 - 73 = 14 ### Answer: 14
Expected answer: 14
Correct? Yes
Problem: After considering the water needs of the town more carefully, it turns out the town only decided to use 22 million liters of water from the reservoir, as opposed to 73 million liters previously calculated. What is the remaining amount of water in the reservoir in million liters under this revised estimate?
Llama 3 70B:
Reasoning: The town starts with 87 million liters of water. They use 22 million liters, so we need to subtract 22 from 87 to find the remaining amount. 87 - 22 = 65 ### Answer: 65
Expected answer: 65
Correct? Yes
Problem: In a rocket science laboratory, there were originally 40 components. However, due to an experiment, 29 components were used up and are no longer available. Afterward, the laboratory received a new delivery with an extra 47 components. what is the total number of components in the laboratory now?
Llama 3 70B:
Reasoning: The laboratory started with 40 components. After using 29 components, they had 40 - 29 = 11 components left. Then, they received a new delivery of 47 components, so they now have 11 + 47 = 58 components. ### Answer: 58
Expected answer: 58
Correct? Yes
Problem: Building on the previous scenario, in the rocket science laboratory, after counting the total number of components now available, they decided to further increase their stock. They received an additional shipment containing 14 more components. How many components does the laboratory have in total now?
Llama 3 70B:
Reasoning: The laboratory already had 58 components. They received an additional shipment of 14 components, so they now have 58 + 14 = 72 components. ### Answer: 72
Expected answer: 72
Correct? Yes
Problem: In the original scenario at the rocket science laboratory, let's revise the number of components used up in the experiment. Instead of using 29 components, they only used 11 components from the original 40. The laboratory still received the new delivery with an extra 47 components afterwards. What is the total number of components in the laboratory now?
Llama 3 70B:
Reasoning: The laboratory started with 40 components. After using 11 components, they had 40 - 11 = 29 components left. Then, they received a new delivery of 47 components, so they now have 29 + 47 = 76 components. ### Answer: 76
Expected answer: 76
Correct? Yes
Problem: Maria has a garden and she grows tomatoes. This month she picked 68 tomatoes from her plants. At the same time, her neighbour Karen shared that she picked 64 tomatoes from her plants this month. How many more tomatoes did Maria pick than Karen?
Llama 3 70B:
Reasoning: To find out how many more tomatoes Maria picked than Karen, we need to subtract the number of tomatoes Karen picked from the number of tomatoes Maria picked. Let's do the subtraction: 68 (Maria's tomatoes) - 64 (Karen's tomatoes) = 4 ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: Maria's brother decided to grow tomatoes too. This month he picked 81 tomatoes from his plants. Karen didn't pick any additional tomatoes since we last checked, and still has 64 tomatoes. How many more tomatoes did Maria's brother pick than Karen?
Llama 3 70B:
Reasoning: To find out how many more tomatoes Maria's brother picked than Karen, we need to subtract the number of tomatoes Karen picked from the number of tomatoes Maria's brother picked. Let's do the subtraction: 81 (Maria's brother's tomatoes) - 64 (Karen's tomatoes) = 17 ### Answer: 17
Expected answer: 17
Correct? Yes
Problem: In a forest, there are 7 adults wolves and 77 cubs. The wolf population, denoted with w, is equal to 7 (adults wolves) + 77 (cubs). One winter, 40 wolves migrated to another forest, decreasing the population. How many wolves are left in the forest now?
Llama 3 70B:
Let's first find the total number of wolves in the forest initially: w = 7 (adults) + 77 (cubs) = 84 Now, 40 wolves migrated to another forest, decreasing the population. To find the number of wolves left, we subtract 40 from the initial population: w = 84 - 40 = 44 ### Answer: 44
Expected answer: 44
Correct? Yes
Problem: In a forest, there are 7 adults wolves and 77 cubs. The wolf population, denoted with w, is equal to 7 (adults wolves) + 77 (cubs). One winter, 40 wolves migrated to another forest, decreasing the population. Then later, a pack of 14 wolves moved to a mountainside. How many wolves are left in the forest now?
Llama 3 70B:
Let's first find the total number of wolves in the forest initially: w = 7 (adults) + 77 (cubs) = 84 Then, 40 wolves migrated to another forest, decreasing the population: w = 84 - 40 = 44 Later, a pack of 14 wolves moved to a mountainside, which means they left the forest. So, we subtract 14 from the remaining population: w = 44 - 14 = 30 ### Answer: 30
Expected answer: 30
Correct? Yes
Problem: In the same forest, there were initially 7 adult wolves but this time, there were different number of cubs: 68 cubs instead of 77. As before, one winter, 40 wolves migrated to another forest. How many wolves are left in the forest now?
Llama 3 70B:
Let's first find the total number of wolves in the forest initially: w = 7 (adults) + 68 (cubs) = 75 Now, 40 wolves migrated to another forest, decreasing the population. To find the number of wolves left, we subtract 40 from the initial population: w = 75 - 40 = 35 ### Answer: 35
Expected answer: 35
Correct? Yes
Problem: You have baked 75 cookies for an event. By the time you finish baking, you realize you have enough dough left to make 10 more cookies. How many cookies have you baked in total, including the 10 extras?
Llama 3 70B:
Reasoning: I have already baked 75 cookies. I can make 10 more cookies with the leftover dough. To find the total number of cookies, I add the 75 cookies I already baked to the 10 extra cookies I can make: 75 + 10 = 85. ### Answer: 85
Expected answer: 85
Correct? Yes
Problem: In the previous situation, you had made 75 cookies for an event. But what if initially, you had only baked 75 cookies, and then decided to bake an additional 4 cookies with the leftover dough. How many cookies would you have in total then?
Llama 3 70B:
Reasoning: I initially baked 75 cookies. Then, I decided to bake 4 more cookies with the leftover dough. To find the total number of cookies, I add the 75 cookies I already baked to the 4 additional cookies: 75 + 4 = 79. ### Answer: 79
Expected answer: 79
Correct? Yes
Problem: A carpenter needs to make some tables. He initially has 78 boards of wood but uses 73 to prepare for the construction. He later realizes he has 99 potential orders but the current boards of wood he has are not enough to meet this demand. How many additional boards does he need to perfectly meet all the orders?
Llama 3 70B:
Reasoning: The carpenter initially has 78 boards of wood and uses 73, so he has 78 - 73 = 5 boards left. Since he has 99 potential orders and he doesn't have enough boards to meet the demand, we need to find out how many boards he needs to meet the demand. Let's assume each order requires one board (if it's not the case, the problem should specify how many boards each order requires). He already has 5 boards, so he needs 99 - 5 = 94 more boards to meet the demand. ### Answer: 94
Expected answer: 94
Correct? Yes
Problem: Following the previous problem, the carpenter decides to create smaller tables that only require one board of wood each. However, he realizes he can only afford to make 14 tables due to other limitations. With the current boards of wood he has, how many less tables will he be able to produce compared to his original ambition of making 14 tables?
Llama 3 70B:
Reasoning: The carpenter currently has 5 boards of wood and each table requires 1 board. So, he can make 5 tables with the current boards he has. He originally wanted to make 14 tables, but he can only make 5 tables with the current boards. To find out how many less tables he can produce, we subtract the number of tables he can make from his original ambition: 14 - 5 = 9. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: One evening, a young astronomer counted 1 star in a small area of the sky. Then, he noticed that 5 more stars gradually became visible as his eyes adjusted to the darkness. After an hour, a meteor shower began and he spotted 28 more stars. How many stars did the astronomer see in total during that evening?
Llama 3 70B:
Reasoning: The astronomer initially saw 1 star. Then, 5 more stars became visible, making a total of 1 + 5 = 6 stars. After an hour, he spotted 28 more stars, making a total of 6 + 28 = 34 stars. ### Answer: 34
Expected answer: 34
Correct? Yes
Problem: The young astronomer then noticed that a cloud drifted across the sky, temporarily covering 27 of the stars he had been observing. After the cloud passed, how many stars were left visible to him?
Llama 3 70B:
Reasoning: The astronomer was observing 34 stars before the cloud drifted across the sky. The cloud temporarily covered 27 of the stars, leaving 34 - 27 = 7 stars visible to him. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: It was David's birthday and he had 40 gifts in his room. Later in the day, his friends surprised him with 26 more gifts. How many gifts does David have in total?
Llama 3 70B:
Reasoning: David initially had 40 gifts in his room. His friends surprised him with 26 more gifts, so we need to add these to the initial number of gifts. Total number of gifts = Initial number of gifts + Additional gifts = 40 + 26 = 66 ### Answer: 66
Expected answer: 66
Correct? Yes
Problem: After opening the gifts, David decided to donate some of them to a local charity. He kept 44 gifts and donated the rest. How many gifts did he donate?
Llama 3 70B:
Reasoning: David had a total of 66 gifts. He kept 44 gifts and donated the rest. To find out how many gifts he donated, we need to subtract the number of gifts he kept from the total number of gifts. Number of gifts donated = Total number of gifts - Number of gifts kept = 66 - 44 = 22 ### Answer: 22
Expected answer: 22
Correct? Yes
Problem: Let's say it was not David's birthday, but it was instead his friend Mark's birthday. Mark received initially 69 gifts. Later, his friends surprised him with the same amount of 26 more gifts which David received. How many gifts does Mark have in total now?
Llama 3 70B:
Reasoning: Mark initially had 69 gifts. His friends surprised him with 26 more gifts, so we need to add these to the initial number of gifts. Total number of gifts = Initial number of gifts + Additional gifts = 69 + 26 = 95 ### Answer: 95
Expected answer: 95
Correct? Yes
Problem: An author is writing a mini novel. She managed to write 74 pages in the first session. Energized by the progress, she decides to write 16 more pages. How many pages has she written in total?
Llama 3 70B:
Reasoning: The author wrote 74 pages in the first session. She then wrote 16 more pages. To find the total number of pages, we add the number of pages written in each session: 74 + 16 = 90. ### Answer: 90
Expected answer: 90
Correct? Yes
Problem: The author, after finishing her writing session, felt inspired and decided to add a one-page introduction to her mini novel. How many pages does the novel have now including the introduction?
Llama 3 70B:
Reasoning: The author had already written 90 pages. She then added a one-page introduction. To find the new total, we add the number of pages already written to the number of pages in the introduction: 90 + 1 = 91. ### Answer: 91
Expected answer: 91
Correct? Yes
Problem: After reflecting on her work, the author decides that she should have originally written 79 pages in the first session instead of 74. Keeping the additional 16 pages she wrote after, how many total pages of the novel does she have before adding the one-page introduction?
Llama 3 70B:
Reasoning: The author originally wrote 74 pages, but she decided she should have written 79 pages instead. So, we replace 74 with 79. Then, she wrote 16 more pages. To find the total number of pages, we add the number of pages written in each session: 79 + 16 = 95. ### Answer: 95
Expected answer: 95
Correct? Yes
Problem: In a large hotel, there are 60 rooms. The hotel decides to expand and add an additional 22 rooms. How many rooms does the hotel have after the expansion?
Llama 3 70B:
Reasoning: The hotel initially has 60 rooms. After adding 22 more rooms, the total number of rooms is 60 + 22 = 82. ### Answer: 82
Expected answer: 82
Correct? Yes
Problem: After the initial expansion, the hotel owner plans to make an additional special expansion by adding more rooms, but less than the previous expansion. If the hotel owner added 11 rooms instead of 22 rooms during the first expansion, how many rooms would the hotel have after the first expansion?
Llama 3 70B:
Reasoning: The hotel initially has 60 rooms. If the hotel owner adds 11 rooms instead of 22, the total number of rooms after the first expansion is 60 + 11 = 71. ### Answer: 71
Expected answer: 71
Correct? Yes
Problem: There were 70 children in the park. Some of them left, leaving only 27 children. Later, 31 more kids left the park. How many children are left in the park now?
Llama 3 70B:
Reasoning: There were 70 children initially, and some left, leaving 27 children. This means 70 - 27 = 43 children left the park initially. Later, 31 more kids left the park, leaving 27 - 31 = -4 children. Since we can't have a negative number of children, we take the absolute value, which is 4. So, there are 27 - 31 = 4 - 4 = 0 children left in the park now. ### Answer: 0
Expected answer: 12
Correct? No
Problem: In a beehive, there is a total of 48 bees. One day, 29 drones left the beehive for collecting pollen. How many bees are left in the beehive?
Llama 3 70B:
Reasoning: There are 48 bees initially in the beehive. 29 drones left the beehive, so we need to subtract 29 from 48 to find the number of bees left. 48 - 29 = 19 ### Answer: 19
Expected answer: 19
Correct? Yes
Problem: Instead of the original total of 48 bees in the beehive, let's consider that initially there were 89 bees. Then 29 drone bees left for a pollen gathering mission. How many bees were left in the beehive after the drones departed in this case?
Llama 3 70B:
Reasoning: There are 89 bees initially in the beehive. 29 drones left the beehive, so we need to subtract 29 from 89 to find the number of bees left. 89 - 29 = 60 ### Answer: 60
Expected answer: 60
Correct? Yes
Problem: A school initially had 35 erasers. But after a few classes and some craft projects, 22 erasers got used up. How many erasers are left at the school?
Llama 3 70B:
Reasoning: The school started with 35 erasers. After 22 erasers got used up, we need to subtract 22 from 35 to find the number of erasers left. 35 - 22 = 13 ### Answer: 13
Expected answer: 13
Correct? Yes
Problem: A school initially had 35 erasers. But after a few classes and some craft projects, 22 erasers got used up. How many erasers are left at the school? Then, a generous donor contributed an additional 39 erasers to the school. What is the total number of erasers at the school now?
Llama 3 70B:
Reasoning: The school started with 35 erasers. After 22 erasers got used up, we need to subtract 22 from 35 to find the number of erasers left. 35 - 22 = 13 Now, the school has 13 erasers left. A generous donor contributed an additional 39 erasers to the school. To find the total number of erasers at the school now, we need to add 13 and 39. 13 + 39 = 52 ### Answer: 52
Expected answer: 52
Correct? Yes
Problem: In the earlier scenario, the school initially had 35 erasers. But what if the school had originally started with 58 erasers instead? After a few classes and some craft projects, 22 erasers got used up. How many erasers would be left at the school in this case?
Llama 3 70B:
Reasoning: The school started with 58 erasers. After 22 erasers got used up, we need to subtract 22 from 58 to find the number of erasers left. 58 - 22 = 36 ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: There were 75 beds in a large hostel. Over time, 55 of them became old and were removed for refurbishment. How many beds are currently available in the hostel now?
Llama 3 70B:
Reasoning: The hostel initially had 75 beds. After removing 55 old beds, the number of beds left is 75 - 55 = 20. ### Answer: 20
Expected answer: 20
Correct? Yes
Problem: After the refurbishment, a generous sponsor donated an additional set of beds to the hostel. The number of these new beds plus the remaining beds equals the original number, 75. How many beds were donated by the sponsor?
Llama 3 70B:
Reasoning: Let's say the number of beds donated by the sponsor is x. We know that the total number of beds now is equal to the original number, which is 75. The number of beds currently available in the hostel is 20 (from the previous problem). So, we can set up the equation: 20 + x = 75. To find the value of x, we can subtract 20 from both sides of the equation: x = 75 - 20 = 55. ### Answer: 55
Expected answer: 55
Correct? Yes
Problem: On Monday, the speed of the wind was measured to be 71 kilometers per hour. The speed of the wind then decreased by 53 kilometers per hour. What was the speed of the wind after the decrease?
Llama 3 70B:
Reasoning: To find the speed of the wind after the decrease, we need to subtract the decrease in speed from the original speed. Original speed = 71 km/h Decrease in speed = 53 km/h New speed = Original speed - Decrease in speed = 71 - 53 = 18 ### Answer: 18 km/h
Expected answer: 18
Correct? Yes
Problem: Instead of a decrease of 53 kilometers per hour, what would the speed of the wind have been if it had only decreased by 45 kilometers per hour?
Llama 3 70B:
Reasoning: To find the speed of the wind after the decrease, we need to subtract the decrease in speed from the original speed. Original speed = 71 km/h Decrease in speed = 45 km/h New speed = Original speed - Decrease in speed = 71 - 45 = 26 ### Answer: 26 km/h
Expected answer: 26
Correct? Yes
Problem: Oliver has 18 oranges. He visits the orange grove and collects an additional 44 oranges. How many oranges does Oliver have now?
Llama 3 70B:
Reasoning: Oliver starts with 18 oranges. He collects 44 more oranges, so we add 18 and 44 to find the total number of oranges he has now. 18 + 44 = 62 ### Answer: 62
Expected answer: 62
Correct? Yes
Problem: Oliver has 18 oranges. He visits the orange grove and collects an additional 44 oranges. Unfortunately, while trying to carry his oranges home, he loses 50 of them along the way. How many oranges does Oliver have left now?
Llama 3 70B:
Reasoning: Oliver starts with 18 oranges. He collects 44 more oranges, so he now has: 18 + 44 = 62 oranges Unfortunately, he loses 50 oranges along the way, so we subtract 50 from 62 to find the number of oranges he has left: 62 - 50 = 12 ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: Previously we considered a scenario where Oliver initially had 18 oranges. Now imagine if initially, Oliver had 36 oranges instead. He visits the same orange grove and collects an additional 44 oranges. How many oranges does Oliver have now?
Llama 3 70B:
Reasoning: Oliver starts with 36 oranges. He collects 44 more oranges, so we add 36 and 44 to find the total number of oranges he has now. 36 + 44 = 80 ### Answer: 80
Expected answer: 80
Correct? Yes
Problem: Tommy has a collection of 70 toy cars. One day, he decides to give 22 of his toy cars to his younger brother. How many toy cars does Tommy have left in his collection?
Llama 3 70B:
Reasoning: Tommy had 70 toy cars initially. He gave 22 toy cars to his brother, so we need to subtract 22 from 70 to find out how many toy cars he has left. 70 - 22 = 48 ### Answer: 48
Expected answer: 48
Correct? Yes
Problem: After giving 22 of his toy cars to his younger brother, Tommy visits a toy store and discovers a toy car that he must have. It costs 61 toy cars for a trade. Does Tommy have enough toy cars left to trade for the new one? If not, how many more does he need?
Llama 3 70B:
Reasoning: Tommy has 48 toy cars left after giving 22 to his brother. He needs 61 toy cars to trade for the new one. Since 48 is less than 61, Tommy does not have enough toy cars to trade for the new one. To find out how many more toy cars Tommy needs, we can subtract the number of toy cars he has from the number of toy cars required for the trade: 61 - 48 = 13 ### Answer: Tommy needs 13 more toy cars.
Expected answer: 13
Correct? Yes
Problem: Instead of giving 22 toy cars to his younger brother, Tommy decides to only give away 17 of his toy cars. How many toy cars does Tommy have left in his collection now?
Llama 3 70B:
Reasoning: Tommy had 70 toy cars initially. He gave 17 toy cars to his brother, so we need to subtract 17 from 70 to find out how many toy cars he has left. 70 - 17 = 53 ### Answer: 53
Expected answer: 53
Correct? Yes
Problem: The Strawberry farm was initially home to 87 Strawberry plants. However, some of them were affected by a disease and 41 plants were lost. Jacob added 8 new Strawberry plants more. How many Strawberry plants are there on the farm now?
Llama 3 70B:
Reasoning: The farm initially had 87 Strawberry plants. After losing 41 plants, there were 87 - 41 = 46 plants left. Jacob added 8 new plants, so now there are 46 + 8 = 54 plants on the farm. ### Answer: 54
Expected answer: 54
Correct? Yes
Problem: Revisiting the first scenario, suppose instead of 41, only 22 Strawberry plants were affected by the disease in the Strawberry farm originally home to 87 plants. Now, consider Jacob still adding 8 new Strawberry plants to the farm. How many Strawberry plants are there on the farm now?
Llama 3 70B:
Reasoning: The farm initially had 87 Strawberry plants. After losing 22 plants, there were 87 - 22 = 65 plants left. Jacob added 8 new plants, so now there are 65 + 8 = 73 plants on the farm. ### Answer: 73
Expected answer: 73
Correct? Yes
Problem: A scientist discovered a new dinosaur species. He found 34 of them. Soon after, he found another group of the same kind of dinosaurs that also had 34. How many dinosaurs of this new species did the scientist find in total?
Llama 3 70B:
Reasoning: The scientist found 34 dinosaurs initially. Then, he found another group of the same kind with 34 dinosaurs. To find the total number of dinosaurs, we add the two groups together: 34 + 34 = 68. ### Answer: 68
Expected answer: 68
Correct? Yes
Problem: After discovering the initial groups of the new dinosaur species, the scientist found an additional nest. There were 6 more dinosaurs in this nest. How many dinosaurs of this new species has the scientist found in total now?
Llama 3 70B:
Reasoning: The scientist had already found 68 dinosaurs of the new species. Then, he found an additional 6 dinosaurs in the new nest. To find the total number of dinosaurs, we add the new discovery to the previous total: 68 + 6 = 74. ### Answer: 74
Expected answer: 74
Correct? Yes
Problem: In the previous problem, the scientist initially discovered groups of 34 dinosaurs each. Now consider the scenario where instead of finding 34 in each group, the scientist found 37 dinosaurs in each group. How many dinosaurs of this new species would the scientist have found in total in this case?
Llama 3 70B:
Reasoning: The scientist found 37 dinosaurs in the first group. Then, he found another group of the same kind with 37 dinosaurs. To find the total number of dinosaurs, we add the two groups together: 37 + 37 = 74. ### Answer: 74
Expected answer: 74
Correct? Yes
Problem: The beach had 82 brightly colored balls spread around today. As the day ended, 28 balls were lost or damaged leaving a certain number intact. How many beach balls are remaining, undamaged?
Llama 3 70B:
Reasoning: The beach had 82 balls initially. After 28 balls were lost or damaged, the number of balls remaining is 82 - 28 = 54. ### Answer: 54
Expected answer: 54
Correct? Yes
Problem: The initial count of beach balls might have been a little off. It turns out that the number of lost or damaged balls was not 28 but actually 60. If that is the case, how many beach balls would be left undamaged on the beach?
Llama 3 70B:
Reasoning: The beach had 82 balls initially. After 60 balls were lost or damaged, the number of balls remaining is 82 - 60 = 22. ### Answer: 22
Expected answer: 22
Correct? Yes
Problem: A wizard has collected 53 magical artifacts over his lifetime. He decides to give out some of them to apprentice wizards. If he gives out 12 artifacts, how many will he have left?
Llama 3 70B:
Reasoning: The wizard starts with 53 magical artifacts. He gives out 12 artifacts, so we need to subtract 12 from 53 to find out how many he has left. 53 - 12 = 41 ### Answer: 41
Expected answer: 41
Correct? Yes
Problem: After giving out 12 artifacts to apprentice wizards, the wizard discovers a hidden chamber in his magical lair, revealing an additional 4 artifacts he had forgotten about. How many artifacts does he have now?
Llama 3 70B:
Reasoning: The wizard had 41 artifacts left after giving out 12 to apprentice wizards. He then discovers 4 additional artifacts, so we need to add 4 to 41 to find out how many he has now. 41 + 4 = 45 ### Answer: 45
Expected answer: 45
Correct? Yes
Problem: In the hidden chamber he found, the wizard initially thought there were 15 artifacts. However, they were stacked haphazardly, and upon recounting, he realized he made a mistake and there were actually 12 artifacts, not 15. How many fewer artifacts were there in the hidden chamber than he initially thought?
Llama 3 70B:
Reasoning: The wizard initially thought there were 15 artifacts, but there were actually 12. To find out how many fewer artifacts there were, we need to subtract the actual number from the initial number. 15 - 12 = 3 ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: Maria has a box that used to contain 68 rings. One day, she lost some of the rings and now there are only 26 rings remaining in the box. How many rings did Maria lose?
Llama 3 70B:
Reasoning: Let's find the difference between the initial number of rings and the number of rings remaining. The number of rings Maria lost is 68 - 26 = 42. ### Answer: 42
Expected answer: 42
Correct? Yes
Problem: The moon is 40 light years away from an alien planet. A spaceship travels 18 light years towards the moon. How many light years is it now from the moon?
Llama 3 70B:
Reasoning: The spaceship travels 18 light years towards the moon, which means it gets closer to the moon by 18 light years. So, the distance between the spaceship and the moon is now 40 - 18 = 22 light years. ### Answer: 22
Expected answer: 22
Correct? Yes
Problem: The space agency decides that in a hypothetical scenario, the moon was actually only 27 light years away from the alien planet. If the spaceship still traveled 18 light years towards the moon in this scenario, how many light years would it be from the moon then?
Llama 3 70B:
Reasoning: The spaceship travels 18 light years towards the moon, which means it gets closer to the moon by 18 light years. So, the distance between the spaceship and the moon is now 27 - 18 = 9 light years. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: At a window factory, there are 41 windows made in the morning. But 21 of them were found to be defective and had to be discarded. How many windows are left in the end?
Llama 3 70B:
Reasoning: The factory started with 41 windows. After discarding 21 defective windows, they were left with 41 - 21 = 20 windows. ### Answer: 20
Expected answer: 20
Correct? Yes
Problem: The window factory who earlier made 41 windows, out of which 21 were defective, received an urgent order for 86 windows. After using the windows they had left, how many more windows does the factory need to produce to fulfill the order?
Llama 3 70B:
Reasoning: The factory had 20 windows left after discarding the defective ones. They need to fulfill an order of 86 windows. To find out how many more windows they need to produce, we subtract the number of windows they already have from the total order: 86 - 20 = 66. ### Answer: 66
Expected answer: 66
Correct? Yes
Problem: In the previous situation, the window factory had originally made 76 windows instead of 41. After discarding the defective ones as before, how many windows would be left now?
Llama 3 70B:
Reasoning: The factory started with 76 windows. After discarding 21 defective windows, they were left with 76 - 21 = 55 windows. ### Answer: 55
Expected answer: 55
Correct? Yes
Problem: A gardener has 88 beautiful roses in the garden. One morning, he finds that some of them are missing and now there are only 84 roses left. How many of the roses are missing from the garden?
Llama 3 70B:
Reasoning: The gardener started with 88 roses. After some were missing, he had 84 roses left. To find the number of roses missing, we need to subtract the number of roses left from the original number of roses. 88 (original roses) - 84 (roses left) = 4 ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: In the same garden, the gardener later checked his dahlias. Initially there were 88 dahlias but then he found that some daisies were missing as well, leaving only 75 dahlias left in the garden. How many dahlias are missing from the garden?
Llama 3 70B:
Reasoning: The gardener started with 88 dahlias. After some were missing, he had 75 dahlias left. To find the number of dahlias missing, we need to subtract the number of dahlias left from the original number of dahlias. 88 (original dahlias) - 75 (dahlias left) = 13 ### Answer: 13
Expected answer: 13
Correct? Yes
Problem: A helicopter piloting school has 19 students to start with. The school enrolls an equal number of new students during the next intake. How many students are there in the school now?
Llama 3 70B:
Reasoning: The school starts with 19 students. Since an equal number of new students are enrolled, the number of new students is also 19. To find the total number of students, we add the initial number of students to the number of new students: 19 + 19 = 38. ### Answer: 38
Expected answer: 38
Correct? Yes
Problem: As a follow-up, the helicopter piloting school had initially wanted to enroll a total of 93 students. However, after enrolling the new batch, they are short of some students. How many more students does the school need to reach its target of 93 students?
Llama 3 70B:
Reasoning: The school currently has 38 students. To find out how many more students they need to reach their target of 93 students, we subtract the current number of students from the target number: 93 - 38 = 55. ### Answer: 55
Expected answer: 55
Correct? Yes
Problem: As a follow-up, let's change the initial number of students at the helicopter piloting school. Instead of 19 students, what if we started with 30 students and enrolled an equal number of new students during the next intake? In this scenario, how many students would there be in the school now?
Llama 3 70B:
Reasoning: The school starts with 30 students. Since an equal number of new students are enrolled, the number of new students is also 30. To find the total number of students, we add the initial number of students to the number of new students: 30 + 30 = 60. ### Answer: 60
Expected answer: 60
Correct? Yes
Problem: In a field, there are 25 bees on the roses and another 25 bees on the daisies. Meanwhile, in a nearby cluster of trees, there are 53 bees in total. After some time, the number of bees in the cluster of trees equals the number of bees in the field subtracted from the original number in the cluster. How many bees are left in the cluster of trees after some time?
Llama 3 70B:
Reasoning: Let's first find the total number of bees in the field. There are 25 bees on the roses and 25 bees on the daisies, so there are 25 + 25 = 50 bees in the field. Initially, there were 53 bees in the cluster of trees. After some time, the number of bees in the cluster of trees equals the number of bees in the field subtracted from the original number in the cluster. This means that the number of bees in the cluster of trees is 53 - 50 = 3. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: Let's revisit the previous situation where bees were settling in a cluster of trees. Suppose we made a mistake earlier and wrongly counted the bees. In fact, originally, there were 72 bees in the cluster of trees. Now, similar to the previous situation, after some time, the number of bees in the cluster of trees equals the number of bees from the roses and daisies subtracted from this correct number in the cluster. Given this correction, how many bees are now left in the cluster of trees?
Llama 3 70B:
Reasoning: Let's first find the total number of bees in the field. There are 25 bees on the roses and 25 bees on the daisies, so there are 25 + 25 = 50 bees in the field. Initially, there were 72 bees in the cluster of trees. After some time, the number of bees in the cluster of trees equals the number of bees in the field subtracted from the original number in the cluster. This means that the number of bees in the cluster of trees is 72 - 50 = 22. ### Answer: 22
Expected answer: 22
Correct? Yes
Problem: Sam has a total of 58 keys on his piano, but 33 of them are broken and can't be used. He finds a way to fix some keys and adds 14 more functional keys to his piano. How many keys on the piano can Sam play after he adds the new ones?
Llama 3 70B:
Reasoning: Sam has 58 keys in total, but 33 are broken, so he can play 58 - 33 = 25 keys initially. He fixes some keys and adds 14 more functional keys, so now he can play 25 + 14 = 39 keys. ### Answer: 39
Expected answer: 39
Correct? Yes
Problem: After adding the new keys and playing for a while, Sam decides to expand his music repertoire and needs to play some songs which require a total of 56 keys. How many more keys does he need to fix on his piano in order to play these songs?
Llama 3 70B:
Reasoning: Sam currently has 39 functional keys, but he needs 56 keys to play the new songs. To find out how many more keys he needs, we subtract the number of keys he has from the number of keys he needs: 56 - 39 = 17. ### Answer: 17
Expected answer: 17
Correct? Yes
Problem: A manufacturer produces 52 binoculars. Unfortunately, due to a production error, 27 binoculars were defective and had to be removed from the stock. The manufacturer managed to produce the same number of binoculars the next day to make up for the losses. After this production, how many binoculars does the manufacturer have now?
Llama 3 70B:
Reasoning: The manufacturer initially had 52 binoculars, but 27 were defective, so they were left with 52 - 27 = 25 binoculars. The next day, they produced the same number of binoculars as they had initially, which is 52. So, they now have 25 + 52 = 77 binoculars. ### Answer: 77
Expected answer: 50
Correct? No
Problem: A truck with a capacity to carry 93 oranges just got a delivery request from a local grocery store. On its way, it dropped 46 oranges due to a small hole in the storage. How many oranges does the truck have now to deliver to the grocery store?
Llama 3 70B:
Reasoning: The truck initially had a capacity to carry 93 oranges. On its way, it dropped 46 oranges due to a small hole in the storage. To find out how many oranges the truck has now, we need to subtract the number of oranges dropped from the initial capacity. 93 (initial capacity) - 46 (oranges dropped) = 47 ### Answer: 47
Expected answer: 47
Correct? Yes
Problem: The truck originally had a capacity to carry 95 oranges instead of 93. Just like earlier, it dropped 46 oranges due to the storage hole. In this case, how many oranges does the truck have now to deliver to the grocery store?
Llama 3 70B:
Reasoning: The truck initially had a capacity to carry 95 oranges. On its way, it dropped 46 oranges due to a small hole in the storage. To find out how many oranges the truck has now, we need to subtract the number of oranges dropped from the initial capacity. 95 (initial capacity) - 46 (oranges dropped) = 49 ### Answer: 49
Expected answer: 49
Correct? Yes
Problem: A sunglasses store has 68 pairs of sunglasses on display. After a busy day, the store manager realizes that 1 pair has been sold. How many pairs of sunglasses are there left on display at the end of the day?
Llama 3 70B:
Reasoning: The store had 68 pairs of sunglasses initially. After selling 1 pair, the number of pairs left is 68 - 1 = 67. ### Answer: 67
Expected answer: 67
Correct? Yes
Problem: Following up from the previous scenario, a new sunglasses store opened, which initially had 41 pairs of sunglasses on display. After the first day, the store manager realizes that just like in the other store, 1 pair has been sold. Considering the new inventory, how many pairs of sunglasses are left on display at this store at the end of its first day?
Llama 3 70B:
Reasoning: The new store had 41 pairs of sunglasses initially. After selling 1 pair, the number of pairs left is 41 - 1 = 40. ### Answer: 40
Expected answer: 40
Correct? Yes
Problem: In a toy shop, there are 46 stuffed animals on display. The shop owner decides to add 35 more stuffed animals to the display from his storage. How many stuffed animals are on display after the shop owner adds the new ones?
Llama 3 70B:
Reasoning: The shop owner starts with 46 stuffed animals on display. He adds 35 more stuffed animals to the display. To find the total number of stuffed animals on display, we add the initial number to the number of new ones: 46 + 35 = 81. ### Answer: 81
Expected answer: 81
Correct? Yes
Problem: In the same toy shop scenario, imagine that initially, there were only 23 stuffed animals on display, and the shop owner still adds 35 more from his storage. In this case, how many stuffed animals are on display after the shop owner adds the new ones?
Llama 3 70B:
Reasoning: The shop owner starts with 23 stuffed animals on display. He adds 35 more stuffed animals to the display. To find the total number of stuffed animals on display, we add the initial number to the number of new ones: 23 + 35 = 58. ### Answer: 58
Expected answer: 58
Correct? Yes
Problem: A kite festival has a total of 48 small kites and 32 large kites. If there were initially 91 kites available, how many kites were sold before the festival started?
Llama 3 70B:
Reasoning: Let's first find the total number of kites available at the festival: 48 (small kites) + 32 (large kites) = 80 kites. Since there were initially 91 kites available, the number of kites sold before the festival started is: 91 - 80 = 11 kites. ### Answer: 11
Expected answer: 11
Correct? Yes
Problem: In continuation of the previous problem, let's say there was another booth selling kites at the festival. Initially, they had 59 kites. After the festival started, they observed that they had sold the same number of kites as the number of kites remaining from the initial batch of 91 kites. How many kites did the second booth have left after these sales?
Llama 3 70B:
Reasoning: We know that the first booth had 80 kites remaining after the initial sales of 11 kites (from the previous problem). This means the second booth also sold 11 kites. To find the number of kites the second booth had left, we subtract the number of kites sold from the initial number of kites: 59 - 11 = 48 kites. ### Answer: 48
Expected answer: 48
Correct? Yes
Problem: In a slight change to the previous scenario, suppose that the kite festival actually started with 24 small kites and the same number of large kites, 32, as before. Given that there was still a total of 91 kites initially, how many kites were sold before the festival started now?
Llama 3 70B:
Reasoning: Let's first find the total number of kites available at the festival: 24 (small kites) + 32 (large kites) = 56 kites. Since there were initially 91 kites available, the number of kites sold before the festival started is: 91 - 56 = 35 kites. ### Answer: 35
Expected answer: 35
Correct? Yes
Problem: A pirate buries his treasure chest which is 99 paces from the entrance of the cove. After a year, the pirate comes back and finds that due to sudden geologic changes, the cove's entrance moved 32 paces closer to the treasure. How many paces does the pirate now need to walk to reach his treasure?
Llama 3 70B:
Reasoning: The treasure chest was originally 99 paces from the entrance of the cove. After the entrance moved 32 paces closer, the distance between the entrance and the treasure chest decreased by 32 paces. So, the new distance is 99 - 32 = 67 paces. ### Answer: 67
Expected answer: 67
Correct? Yes
Problem: In the previous scenario, the pirate realized his treasure was 'g' paces away from the cove's entrance after the geologic changes. But, what if the geologic shift wasn't as dramatic and it only brought the cove's entrance 26 paces closer instead of 32 paces to his buried treasure? How many paces would the pirate now need to walk from the cove's entrance to reach his treasure?
Llama 3 70B:
Reasoning: The treasure chest was originally 99 paces from the entrance of the cove. After the entrance moved 26 paces closer, the distance between the entrance and the treasure chest decreased by 26 paces. So, the new distance is 99 - 26 = 73 paces. ### Answer: 73
Expected answer: 73
Correct? Yes
Problem: There are 37 red marbles in a bag and 44 blue marbles in another bag. How many marbles are there in total if you combine the two bags?
Llama 3 70B:
Reasoning: To find the total number of marbles, we simply add the number of red marbles to the number of blue marbles. Number of red marbles = 37 Number of blue marbles = 44 Total number of marbles = 37 + 44 = 81 ### Answer: 81
Expected answer: 81
Correct? Yes
Problem: In the same bags of marbles mentioned before, imagine if instead there were 10 red marbles while keeping the count of the blue marbles same which was 44. Now, how many marbles would there be in total if you combine the two bags?
Llama 3 70B:
Reasoning: To find the total number of marbles, we simply add the number of red marbles to the number of blue marbles. Number of red marbles = 10 Number of blue marbles = 44 (remains the same) Total number of marbles = 10 + 44 = 54 ### Answer: 54
Expected answer: 54
Correct? Yes
Problem: A jeweler had 90 rings in their inventory. They sold 25 rings in the morning. In the afternoon, they realized their inventory was 92 rings short of their target for the day. How many rings are they short right now for reaching their target?
Llama 3 70B:
Reasoning: The jeweler started with 90 rings. They sold 25 rings in the morning, so they had 90 - 25 = 65 rings left. They realized they were 92 rings short of their target, which means their target was 65 + 92 = 157 rings. Since they currently have 65 rings, they are short 157 - 65 = 92 rings. ### Answer: 92
Expected answer: 27
Correct? No
Problem: There are 77 cows standing in a field in Farmer John's farm. Farmer John's neighbor Nancy brings over 19 more cows to graze. How many cows are there in total?
Llama 3 70B:
Reasoning: We need to add the number of cows Farmer John had initially to the number of cows Nancy brought over. Initially, there were 77 cows in the field. Nancy brought 19 more cows, so we add 77 and 19 to find the total number of cows. 77 + 19 = 96 ### Answer: 96
Expected answer: 96
Correct? Yes
Problem: Suppose instead of the original 77 cows, Farmer John only had 39 cows in his field initially. If neighboring farmer Nancy still brings over her 19 cows to join them, how many cows would there be in total?
Llama 3 70B:
Reasoning: We need to add the number of cows Farmer John had initially to the number of cows Nancy brought over. Initially, there were 39 cows in the field. Nancy brought 19 more cows, so we add 39 and 19 to find the total number of cows. 39 + 19 = 58 ### Answer: 58
Expected answer: 58
Correct? Yes
Problem: In a beautiful African reserve, there live a certain number of giraffes. In one part of the reserve, you can find 54 giraffes. On the other side of the reserve, there are 40 giraffes. How many giraffes are there in total in the reserve?
Llama 3 70B:
Reasoning: To find the total number of giraffes, we need to add the number of giraffes in one part of the reserve to the number of giraffes on the other side of the reserve. Let's add the numbers: 54 + 40 = 94 ### Answer: 94
Expected answer: 94
Correct? Yes
Problem: In the same African reserve, a survey is conducted again after a few years. This time, on one side of the reserve, there are 39 giraffes, while on the other side, the number remains the same at 40. How many giraffes are there in total in the reserve now?
Llama 3 70B:
Reasoning: To find the total number of giraffes, we need to add the number of giraffes on one side of the reserve to the number of giraffes on the other side of the reserve. Let's add the numbers: 39 + 40 = 79 ### Answer: 79
Expected answer: 79
Correct? Yes
Problem: There were originally 71 bees in a hive, but 23 flew away in search of flowers. Later, another beekeeper noticed that his hive of 85 bees was missing a few. He discovered that the missing bees were the ones that flew away from the first hive. How many bees are left in the second beekeeper's hive?
Llama 3 70B:
Reasoning: The 23 bees that flew away from the first hive joined the second hive, making it 85 + 23 = 108 bees in total. Later, these 23 bees were discovered to be missing, so we subtract them from the total: 108 - 23 = 85 bees. However, the problem asks for the number of bees left in the second beekeeper's hive, which means we need to subtract the missing bees from the original number of bees in the second hive: 85 - 23 = 62 bees. ### Answer: 62
Expected answer: 37
Correct? No
Problem: Suppose you have 28 bottle cap crafting kits, and each kit can make 3 cap designs. However, you accidentally lost 3 bottle cap designs out of all the kits. How many bottle cap designs are left in total?
Llama 3 70B:
Reasoning: Since each kit can make 3 cap designs, and there are 28 kits, the total number of cap designs that can be made is 28 x 3 = 84. However, 3 cap designs were lost, so we need to subtract 3 from the total: 84 - 3 = 81. ### Answer: 81
Expected answer: 81
Correct? Yes
Problem: Continuing from the previous problem, imagine that you made a counting error. Instead of losing 3 bottle cap designs, you have actually misplaced 14 of them from all the kits. How many bottle cap designs would you have left in that case?
Llama 3 70B:
Reasoning: As before, the total number of cap designs that can be made is 28 x 3 = 84. However, this time, 14 cap designs were misplaced, so we need to subtract 14 from the total: 84 - 14 = 70. ### Answer: 70
Expected answer: 70
Correct? Yes
Problem: A helicopter company has a fleet of helicopters. They currently own 30 helicopters, and decide to add an additional 31 helicopters to the fleet. What is the total number of helicopters in the company's fleet?
Llama 3 70B:
Reasoning: The company initially has 30 helicopters. They add 31 more helicopters to the fleet. To find the total number of helicopters, we add the initial number of helicopters to the number of additional helicopters: 30 + 31 = 61. ### Answer: 61
Expected answer: 61
Correct? Yes
Problem: In the previous scenario, let's consider a change. Suppose the helicopter company originally owned 63 helicopters instead of 30, but still decided to add an additional 31 helicopters to their fleet. How many helicopters would the company have in total now?
Llama 3 70B:
Reasoning: The company initially has 63 helicopters. They add 31 more helicopters to the fleet. To find the total number of helicopters, we add the initial number of helicopters to the number of additional helicopters: 63 + 31 = 94. ### Answer: 94
Expected answer: 94
Correct? Yes
Problem: The total amount of snowfall in a town this year was 71 inches. In the month of December, the town experienced 10 inches of snowfall. How many inches of snowfall did the town receive in the months before December?
Llama 3 70B:
Reasoning: Let's say the town received x inches of snowfall in the months before December. Since the total amount of snowfall in the town this year was 71 inches, we can set up the equation: x + 10 = 71 Subtracting 10 from both sides of the equation, we get: x = 71 - 10 x = 61 So, the town received 61 inches of snowfall in the months before December. ### Answer: 61
Expected answer: 61
Correct? Yes
Problem: Continuing from the previous problems, assume the December snowfall data was misread earlier and it was actually 49 inches of snowfall in December, not 10 inches or the revised 13 inches. How many inches of snowfall did the town receive in the months before December given the new December snowfall data?
Llama 3 70B:
Reasoning: Let's say the town received x inches of snowfall in the months before December. Since the total amount of snowfall in the town this year was 71 inches, and the town received 49 inches of snowfall in December, we can set up the equation: x + 49 = 71 Subtracting 49 from both sides of the equation, we get: x = 71 - 49 x = 22 So, the town received 22 inches of snowfall in the months before December. ### Answer: 22
Expected answer: 22
Correct? Yes
Problem: Penny received $39 from her mother as a birthday gift. She saw a bag that costs $41. If Penny decides to buy this bag, how much more money would she need?
Llama 3 70B:
Reasoning: Penny needs $41 to buy the bag, but she only has $39. To find out how much more money she needs, we subtract the amount she has from the amount she needs: $41 - $39 = $2. ### Answer: $2
Expected answer: 2
Correct? Yes
Problem: After figuring out how much more money she needs, Penny decides to earn the additional cash by doing small jobs for her neighbors. Penny gets paid $33 for every job she completes. How much money would Penny make if she does an equal number of jobs to the additional amount of money she needs to buy the bag?
Llama 3 70B:
Reasoning: Penny needs $2 more to buy the bag. Since she gets paid $33 for each job, we need to find out how many jobs she needs to do to earn $2. Since $33 is much larger than $2, we know she only needs to do a fraction of a job. To find out how many jobs she needs to do, we can divide the amount she needs by the amount she earns per job: $2 ÷ $33 = 2/33. This means she needs to do 2/33 of a job to earn the additional $2. ### Answer: $2
Expected answer: 66
Correct? No
Problem: Suppose instead of receiving $39 from her mother, Penny only received $23 as her birthday gift. Now if she still wants to buy the bag, which costs $41, how much more money would she need?
Llama 3 70B:
Reasoning: Penny needs $41 to buy the bag, but she only has $23. To find out how much more money she needs, we subtract the amount she has from the amount she needs: $41 - $23 = $18. ### Answer: $18
Expected answer: 18
Correct? Yes
Problem: A fashion retail store specializes in selling glasses. They currently have 58 glasses. If they sell 21 glasses, how many glasses will remain in the fashion retail store?
Llama 3 70B:
Reasoning: The store currently has 58 glasses. If they sell 21 glasses, we need to subtract 21 from 58 to find the number of glasses that will remain. 58 - 21 = 37 ### Answer: 37
Expected answer: 37
Correct? Yes
Problem: In the fashion retail store specializing in eyewear, another branch has 44 glasses in stock. If we subtract the number of glasses remaining in the main store (after selling 21 glasses), how many glasses does the other branch have in comparison?
Llama 3 70B:
Reasoning: We already found that the main store has 37 glasses remaining after selling 21 glasses. To find the difference in the number of glasses between the two branches, we subtract the number of glasses in the main store from the number of glasses in the other branch. 44 (other branch) - 37 (main store) = 7 ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: In the fashion retail store that specializes in eyewear, consider a different scenario where they initially had 40 glasses instead of 58. If they sell 21 glasses from this initial stock, how many glasses will remain in the store?
Llama 3 70B:
Reasoning: The store initially has 40 glasses. If they sell 21 glasses, we need to subtract 21 from 40 to find the number of glasses that will remain. 40 - 21 = 19 ### Answer: 19
Expected answer: 19
Correct? Yes
Problem: A food enthusiast started the day with 29 strawberries. If he ate 15 strawberries for breakfast, how many strawberries does he have left?
Llama 3 70B:
Reasoning: The food enthusiast started with 29 strawberries. He ate 15 strawberries for breakfast, so we need to subtract 15 from 29 to find out how many strawberries he has left. 29 - 15 = 14 ### Answer: 14
Expected answer: 14
Correct? Yes
Problem: Continuing from the earlier problem, imagine if the food enthusiast only ate 1 strawberry for breakfast instead of 15 strawberries. In that case, how many strawberries would he have left?
Llama 3 70B:
Reasoning: The food enthusiast started with 29 strawberries. He ate 1 strawberry for breakfast, so we need to subtract 1 from 29 to find out how many strawberries he has left. 29 - 1 = 28 ### Answer: 28
Expected answer: 28
Correct? Yes
Problem: A ballerina practiced 34 dance moves. Then, in the next session, she trained an additional 46 dance moves. How many total dance moves did the ballerina practice?
Llama 3 70B:
Reasoning: The ballerina practiced 34 dance moves initially. Then, she trained an additional 46 dance moves. To find the total number of dance moves, we add the initial number of dance moves to the additional number of dance moves: 34 + 46 = 80. ### Answer: 80
Expected answer: 80
Correct? Yes
Problem: After mastering a total of 80 dance moves, the ballerina decided to discard 16 dance moves that she felt were too simple. How many dance moves does the ballerina intend to keep in her repertoire?
Llama 3 70B:
Reasoning: The ballerina initially had 80 dance moves. She decided to discard 16 dance moves that she felt were too simple. To find the number of dance moves she intends to keep, we subtract the number of discarded dance moves from the total number of dance moves: 80 - 16 = 64. ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: In the previous scenario, the ballerina had practiced 34 dance moves before learning 46 more. But what if she initially practiced 34 dance moves and then decided to train an additional 57 dance moves. How many total dance moves would the ballerina have practiced then?
Llama 3 70B:
Reasoning: The ballerina practiced 34 dance moves initially. Then, she trained an additional 57 dance moves. To find the total number of dance moves, we add the initial number of dance moves to the additional number of dance moves: 34 + 57 = 91. ### Answer: 91
Expected answer: 91
Correct? Yes
Problem: In a car manufacturing factory, there are 50 spots reserved for completed cars. Today, currently there are 21 cars that are fully completed. The rest of the spots are reserved for the cars which are still under process. How many cars are still under process?
Llama 3 70B:
Reasoning: There are 50 spots reserved for completed cars, and 21 cars are already completed. To find the number of cars still under process, we need to subtract the number of completed cars from the total number of spots. 50 (total spots) - 21 (completed cars) = 29 ### Answer: 29
Expected answer: 29
Correct? Yes
Problem: In addition to the cars under process, 6 spots are cleared to start new projects. After clearing these spots, how many cars still under process remain in the factory?
Llama 3 70B:
Reasoning: We already know that there are 29 cars still under process. If 6 spots are cleared, that means 6 cars that were under process are now cleared, leaving: 29 (cars under process) - 6 (cleared spots) = 23 ### Answer: 23
Expected answer: 23
Correct? Yes
Problem: Let's suppose that instead of 50 spots for cars, the factory had only 45. In that case, currently there are 21 cars that are fully completed. The rest of the spots are reserved for the cars which are still under process. How many cars are still under process now?
Llama 3 70B:
Reasoning: There are 45 spots reserved for completed cars, and 21 cars are already completed. To find the number of cars still under process, we need to subtract the number of completed cars from the total number of spots. 45 (total spots) - 21 (completed cars) = 24 ### Answer: 24
Expected answer: 24
Correct? Yes
Problem: The art supply store received an order of colored pencils. The packs of colored pencils arrived in two varieties: packs with 32 colored pencils and packs with 62 colored pencils. How many colored pencils are there in total if you have one pack of each variety?
Llama 3 70B:
Reasoning: Let's count the total number of colored pencils by adding the number of pencils in each pack. We have one pack with 32 colored pencils and one pack with 62 colored pencils. To find the total, we add these numbers together: 32 + 62 = 94 ### Answer: 94
Expected answer: 94
Correct? Yes
Problem: Suppose instead of receiving a pack of 32 colored pencils, the art supply store only received a single colored pencil along with the pack of 62 colored pencils. How many colored pencils would there be in total then?
Llama 3 70B:
Reasoning: Let's count the total number of colored pencils by adding the number of pencils in each pack. We have one single colored pencil and one pack with 62 colored pencils. To find the total, we add these numbers together: 1 + 62 = 63 ### Answer: 63
Expected answer: 63
Correct? Yes
Problem: A cat has 7 lives. If a magical cat has 4 times as many lives as a regular cat, how many lives does the magical cat have?
Llama 3 70B:
Reasoning: A regular cat has 7 lives. If a magical cat has 4 times as many lives, we can multiply the number of lives of a regular cat by 4 to find the number of lives of the magical cat. 7 x 4 = 28 ### Answer: 28
Expected answer: 28
Correct? Yes
Problem: Let's consider a different breed of magical cat that has 13 times as many lives as a regular cat, instead of 4 times. How many lives does this different breed of magical cat have?
Llama 3 70B:
Reasoning: A regular cat has 7 lives. If this different breed of magical cat has 13 times as many lives, we can multiply the number of lives of a regular cat by 13 to find the number of lives of the magical cat. 7 x 13 = 91 ### Answer: 91
Expected answer: 91
Correct? Yes
Problem: A rocket needs 27 tons of fuel for the initial boost and an additional 10 tons for the rest of the journey through space. After an unexpected issue, it needs an extra 2 tons of fuel. How many tons of fuel does the rocket need in total?
Llama 3 70B:
Reasoning: The rocket initially needs 27 tons of fuel for the initial boost and 10 tons for the rest of the journey, so it needs 27 + 10 = 37 tons of fuel. Due to the unexpected issue, it needs an additional 2 tons of fuel, making the total amount of fuel needed 37 + 2 = 39 tons. ### Answer: 39
Expected answer: 39
Correct? Yes
Problem: Suppose the rocket initially needed 27 tons of fuel for the boost off and for the space journey. But let's consider a change and say that it needed 13 tons of fuel for the rest of the journey instead of 10 tons. Even so, the additional 2 tons for the unexpected issue still applies. Under this new circumstance, how many tons of fuel does the rocket now need in total?
Llama 3 70B:
Reasoning: The rocket initially needs 27 tons of fuel for the initial boost. For the rest of the journey, it needs 13 tons of fuel. So, in total, it needs 27 + 13 = 40 tons of fuel. Due to the unexpected issue, it needs an additional 2 tons of fuel, making the total amount of fuel needed 40 + 2 = 42 tons. ### Answer: 42
Expected answer: 42
Correct? Yes
Problem: Mark has found an ancient treasure map! At the beginning, he has 94 clues to find the treasure. After his exploration, he figured out 89 clues in total. How many clues does he still need to figure out to reach the treasure?
Llama 3 70B:
Reasoning: Mark initially had 94 clues to find the treasure, and he figured out 89 clues. To find out how many clues he still needs to figure out, we subtract the number of clues he already figured out from the total number of clues: 94 - 89 = 5. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: After previously deciphering 89 clues, Mark stumbled upon a hidden engraving that altered his interpretations. He now realizes that, truly, he had only figured out 17 of the original 94 clues. This correction throws his treasure hunt off course. How many clues does he now need to figure out to reach the treasure?
Llama 3 70B:
Reasoning: Mark initially thought he had figured out 89 clues, but now he realizes he only figured out 17 clues. To find out how many clues he still needs to figure out, we subtract the number of clues he actually figured out from the total number of clues: 94 - 17 = 77. ### Answer: 77
Expected answer: 77
Correct? Yes
Problem: Mike has 18 dollars. He decides to buy a candy bar that costs 16 dollars. How much money does he have left?
Llama 3 70B:
Reasoning: Mike starts with 18 dollars. He spends 16 dollars on a candy bar. To find out how much money he has left, we subtract the cost of the candy bar from the initial amount of money he had: 18 - 16 = 2. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: After buying the candy bar, Mike finds a wallet on the ground. Inside the wallet, there are 10 dollars. After counting the money he has left, Mike realizes he now has less money than what's in the wallet. How much money is Mike short of having compared to the 10 dollars in the wallet?
Llama 3 70B:
Reasoning: Mike had 2 dollars left after buying the candy bar. He found a wallet with 10 dollars. To find out how much money Mike is short of having compared to the 10 dollars in the wallet, we subtract the amount of money Mike has from the amount of money in the wallet: 10 - 2 = 8. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: Let's consider a new scenario. This time, Mike starts with 74 dollars instead of 18. He still buys the candy bar that costs 16 dollars. How much money does he have left after buying the candy bar now?
Llama 3 70B:
Reasoning: Mike starts with 74 dollars. He spends 16 dollars on a candy bar. To find out how much money he has left, we subtract the cost of the candy bar from the initial amount of money he had: 74 - 16 = 58. ### Answer: 58
Expected answer: 58
Correct? Yes
Problem: On a large farm, there are 77 animals in total. Some of them are cows and the rest are chickens. If the number of chickens is 53 less than the total number of animals, how many chickens are there on the farm?
Llama 3 70B:
Reasoning: Let's start by using the information that the number of chickens is 53 less than the total number of animals. Since there are 77 animals in total, we can set up the equation: Number of chickens = Total number of animals - 53 = 77 - 53 = 24 So, there are 24 chickens on the farm. ### Answer: 24
Expected answer: 24
Correct? Yes
Problem: After counting the chickens, the farm owner realized that 41 more chickens have hatched. With these new additions, how many chickens are there now on the farm?
Llama 3 70B:
Reasoning: We already know that there were 24 chickens on the farm initially. Now, 41 more chickens have hatched, so we need to add these new chickens to the initial number: Total number of chickens now = Initial number of chickens + New chickens = 24 + 41 = 65 So, there are 65 chickens on the farm now. ### Answer: 65
Expected answer: 65
Correct? Yes
Problem: In an ocean research project, scientists capture and tag 6 sharks. Later, an additional 50 sharks are tagged to better track and study the shark population in the area. How many sharks in total have the scientists tagged?
Llama 3 70B:
Reasoning: The scientists initially tagged 6 sharks. Later, they tagged an additional 50 sharks. To find the total number of sharks tagged, we add the initial number of sharks tagged to the additional number of sharks tagged: 6 + 50 = 56. ### Answer: 56
Expected answer: 56
Correct? Yes
Problem: In the same ocean research project, suppose the scientists initially only managed to capture and tag 6 sharks, but later were able to tag an additional 7 sharks. How many sharks would have been tagged in this case?
Llama 3 70B:
Reasoning: The scientists initially tagged 6 sharks. Later, they tagged an additional 7 sharks. To find the total number of sharks tagged, we add the initial number of sharks tagged to the additional number of sharks tagged: 6 + 7 = 13. ### Answer: 13
Expected answer: 13
Correct? Yes
Problem: In a video game, Jacob has 68 gems. He decided to give some of his gems away and was left with 62 gems. How many gems did he give away?
Llama 3 70B:
Reasoning: Let's subtract the number of gems Jacob had left (62) from the total number of gems he had initially (68) to find out how many gems he gave away. 68 - 62 = 6 ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: Considering the same video game as before, what if Jacob initially had 100 gems instead of 68 before he gave some away and was left with 62 gems? How many gems did he give away this time?
Llama 3 70B:
Reasoning: Let's subtract the number of gems Jacob had left (62) from the total number of gems he had initially (100) to find out how many gems he gave away. 100 - 62 = 38 ### Answer: 38
Expected answer: 38
Correct? Yes
Problem: In a candle store, there are 27 scented candles and 36 unscented candles. The store owner decides to put 30 candles on sale. How many candles are not on sale?
Llama 3 70B:
Reasoning: The total number of candles in the store is 27 + 36 = 63. If 30 candles are on sale, then the number of candles not on sale is 63 - 30 = 33. ### Answer: 33
Expected answer: 33
Correct? Yes
Problem: In the candle store, after the owner decides on which candles to put on sale, 14 more candles are sold. How many candles are left in the store now?
Llama 3 70B:
Reasoning: We already know that 30 candles are on sale, and 33 candles are not on sale. So, the total number of candles in the store is 30 + 33 = 63. If 14 more candles are sold, then the number of candles left in the store is 63 - 14 = 49. ### Answer: 49
Expected answer: 19
Correct? No
Problem: In the original scenario, let's consider instead that there were 73 unscented candles instead of 36 in the candle store. Similar to the original scenario, the store owner decides to put 30 candles on sale. Now, how many candles are not on sale?
Llama 3 70B:
Reasoning: The total number of candles in the store is 27 + 73 = 100. If 30 candles are on sale, then the number of candles not on sale is 100 - 30 = 70. ### Answer: 70
Expected answer: 70
Correct? Yes
Problem: In a card game, Alex started with 98 points but lost 51 points in a round. Next, he gained 17 points in a following round. How many points does Alex have after these rounds?
Llama 3 70B:
Reasoning: Alex started with 98 points. He lost 51 points, so he had 98 - 51 = 47 points left. Then, he gained 17 points, so he now has 47 + 17 = 64 points. ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: In the card game, after gaining 17 points, Alex decided to bet 25 points in the next round. Unfortunately, he lost this round. How many points does Alex have after all these rounds?
Llama 3 70B:
Reasoning: Alex had 64 points after gaining 17 points. He bet 25 points and lost, so he now has 64 - 25 = 39 points. ### Answer: 39
Expected answer: 39
Correct? Yes
Problem: In the card game, instead of gaining 17 points, Alex only gained 2 points in the second round. Now how many points does Alex have after the first two rounds?
Llama 3 70B:
Reasoning: Alex started with 98 points. He lost 51 points, so he had 98 - 51 = 47 points left. Then, he gained 2 points, so he now has 47 + 2 = 49 points. ### Answer: 49
Expected answer: 49
Correct? Yes
Problem: A clothing store starts the day with 95 pairs of pants in stock. Throughout the day, it sells 4 pairs. How many pairs of pants are left in the store?
Llama 3 70B:
Reasoning: The store starts with 95 pairs of pants. It sells 4 pairs, so we need to subtract 4 from 95 to find the number of pairs left. 95 - 4 = 91 ### Answer: 91
Expected answer: 91
Correct? Yes
Problem: After selling 4 pairs of pants, the clothing store receives a small shipment of 3 more pairs to restock. How many pairs of pants are now in the store?
Llama 3 70B:
Reasoning: The store had 91 pairs of pants left after selling 4 pairs. It receives a shipment of 3 more pairs, so we need to add 3 to 91 to find the new total. 91 + 3 = 94 ### Answer: 94
Expected answer: 94
Correct? Yes
Problem: After the clothing store sold 4 pairs of pants, they realized they actually sold 9 pairs during that day instead of the 4 they initially thought. How many pairs of pants are left in the store?
Llama 3 70B:
Reasoning: The store starts with 95 pairs of pants. It sells 9 pairs, so we need to subtract 9 from 95 to find the number of pairs left. 95 - 9 = 86 ### Answer: 86
Expected answer: 86
Correct? Yes
Problem: In the classroom, there are 48 pencils initially. However, 30 pencils are distributed to students. Later, the teacher brings in an additional 9 pencils. How many pencils are there in the classroom now?
Llama 3 70B:
Reasoning: Initially, there were 48 pencils in the classroom. After 30 pencils were distributed to students, there were 48 - 30 = 18 pencils left. Then, the teacher brought in 9 more pencils, so the total number of pencils in the classroom now is 18 + 9 = 27. ### Answer: 27
Expected answer: 27
Correct? Yes
Problem: Suppose that instead of starting with 48 pencils in the classroom, there were 35. After distributing 30 pencils to the students, the teacher brings in an additional 9, just like before. With this change in initial conditions, how many pencils are now in the classroom?
Llama 3 70B:
Reasoning: Initially, there were 35 pencils in the classroom. After 30 pencils were distributed to students, there were 35 - 30 = 5 pencils left. Then, the teacher brought in 9 more pencils, so the total number of pencils in the classroom now is 5 + 9 = 14. ### Answer: 14
Expected answer: 14
Correct? Yes
Problem: A designer decided to create a variety of window styles for a large commercial building. Originally, there were 68 window concepts. However, with some discussions and reviewing, 49 concepts got rejected. How many window design concepts are there left now?
Llama 3 70B:
Reasoning: The designer started with 68 window concepts. After 49 concepts were rejected, the number of concepts left is 68 - 49 = 19. ### Answer: 19
Expected answer: 19
Correct? Yes
Problem: Let's reconsider the situation from before. Suppose that in the initial review, the designer didn't reject as many concepts as before. This time, only 17 window design concepts are rejected from the original 68 concepts. How many window design concepts are left now?
Llama 3 70B:
Reasoning: The designer started with 68 window concepts. After 17 concepts were rejected, the number of concepts left is 68 - 17 = 51. ### Answer: 51
Expected answer: 51
Correct? Yes
Problem: A store has 32 pairs of binoculars in stock. Later in the day, they receive an additional shipment of 20 pairs of binoculars. The next day, the store receives yet another shipment of 23 pairs of binoculars. How many pairs of binoculars does the store have in total?
Llama 3 70B:
Reasoning: The store initially had 32 pairs of binoculars. After receiving an additional shipment of 20 pairs, they had 32 + 20 = 52 pairs. The next day, they received another shipment of 23 pairs, so they now have 52 + 23 = 75 pairs of binoculars. ### Answer: 75
Expected answer: 75
Correct? Yes
Problem: In the original scenario, the store had 32 pairs of binoculars and received an additional shipment of 20 pairs, after which it received 23 more pairs. Now, consider if instead of 23 pairs, the store had received an additional 46 pairs in the last shipment. How many pairs of binoculars would the store have had in this new scenario?
Llama 3 70B:
Reasoning: The store initially had 32 pairs of binoculars. After receiving an additional shipment of 20 pairs, they had 32 + 20 = 52 pairs. Then, they received another shipment of 46 pairs, so they now have 52 + 46 = 98 pairs of binoculars. ### Answer: 98
Expected answer: 98
Correct? Yes
Problem: Fiona has started taking piano lessons and practices for 28 minutes every day. One day, she decides to increase her practice time by an extra 8 minutes. How many total minutes did Fiona practice piano that day?
Llama 3 70B:
Reasoning: Fiona normally practices for 28 minutes. She increases her practice time by 8 minutes, so she practices for an additional 8 minutes. To find the total minutes she practiced, we add the normal practice time to the additional practice time: 28 + 8 = 36. ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: After Fiona finished her longer practice session of 28 minutes plus an extra 8 minutes, her piano teacher asked her to practice an additional song, which took her an extra 34 minutes. How many total minutes did Fiona practice piano that day altogether?
Llama 3 70B:
Reasoning: We already know that Fiona practiced for 28 minutes (normal practice) + 8 minutes (extra practice) = 36 minutes. Then, she practiced an additional song that took 34 minutes. To find the total minutes she practiced, we add the initial practice time to the additional song practice time: 36 + 34 = 70. ### Answer: 70
Expected answer: 70
Correct? Yes
Problem: Following on from the previous scenario, let's say instead that Fiona began her practice session by practicing for 28 minutes and then decided to extend her practice time by an extra 20 minutes instead of 8. How many total minutes did Fiona practice piano that day in this scenario?
Llama 3 70B:
Reasoning: Fiona normally practices for 28 minutes. She extends her practice time by 20 minutes, so she practices for an additional 20 minutes. To find the total minutes she practiced, we add the normal practice time to the additional practice time: 28 + 20 = 48. ### Answer: 48
Expected answer: 48
Correct? Yes
Problem: An artisan has 75 beads for making bracelets. He uses 55 beads for a large commissioned piece, leaving a certain amount of beads. The artisan then receives another shipment with the equivalent number of beads as he currently has. How many beads does the artisan have now?
Llama 3 70B:
Reasoning: The artisan starts with 75 beads. After using 55 beads, he has 75 - 55 = 20 beads left. He then receives another shipment with the same number of beads he currently has, which is 20 beads. So, he now has 20 + 20 = 40 new beads, in addition to the 20 beads he already had. In total, the artisan now has 20 + 40 = 60 beads. ### Answer: 60
Expected answer: 40
Correct? No
Problem: There are 73 minutes past 12:00 noon. If you subtract 67 minutes from this, at what minute into the next hour will the minute hand on the clock be pointing?
Llama 3 70B:
Reasoning: If there are 73 minutes past 12:00 noon, that means the time is 1:13 (73 minutes past 12:00). If we subtract 67 minutes from 1:13, we will be subtracting 67 minutes from 73 minutes, which gives us 73 - 67 = 6 minutes. So, the minute hand on the clock will be pointing at 6 minutes past the hour. ### Answer: 6.
Expected answer: 6
Correct? Yes
Problem: Continuing from the initial situation, suppose there are 73 minutes past 12:00 noon. But instead of subtracting 67 minutes from this as we did before, we subtract just 2 minutes. At what minute into the next hour will the minute hand on the clock be pointing now?
Llama 3 70B:
Reasoning: If there are 73 minutes past 12:00 noon, that means the time is 1:13 (73 minutes past 12:00). If we subtract 2 minutes from 1:13, we will be subtracting 2 minutes from 73 minutes, which gives us 73 - 2 = 71 minutes. Since 71 minutes is 11 minutes past 1:00, the minute hand on the clock will be pointing at 11 minutes past the hour. ### Answer: 11.
Expected answer: 71
Correct? No
Problem: In the Pacific ocean, there are currently 97 dolphins. Unfortunately, 45 of them migrated to another place due to hunting activities. How many dolphins are left in the Pacific ocean?
Llama 3 70B:
Reasoning: There were originally 97 dolphins in the Pacific ocean. After 45 dolphins migrated to another place, we need to subtract 45 from 97 to find the number of dolphins left. 97 - 45 = 52 ### Answer: 52
Expected answer: 52
Correct? Yes
Problem: Following the migration of some dolphins, a group of 19 dolphins from elsewhere discovered the now peaceful territory in the Pacific ocean and decided to join the remaining group. How many dolphins are now making the Pacific ocean their home?
Llama 3 70B:
Reasoning: We already know that there were 52 dolphins left in the Pacific ocean after the migration. Now, a new group of 19 dolphins has joined them. To find the total number of dolphins, we need to add 19 to 52. 52 + 19 = 71 ### Answer: 71
Expected answer: 71
Correct? Yes
Problem: Remember the group of dolphins that made the pacific ocean their home? Well, let's consider a different scenario. Instead of 97 dolphins initially, say there were 61 dolphins in the beginning. After the same migration event where 45 dolphins left the area, how many dolphins would have been left in that scenario?
Llama 3 70B:
Reasoning: There were originally 61 dolphins in the Pacific ocean. After 45 dolphins migrated to another place, we need to subtract 45 from 61 to find the number of dolphins left. 61 - 45 = 16 ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: There is 1 bus in the garage. The bus can hold up to 55 people. How many people can the bus in the garage hold?
Llama 3 70B:
Reasoning: The problem states that the bus can hold up to 55 people. There is only 1 bus in the garage, so we don't need to multiply the number of buses by the capacity of each bus. The answer is simply the capacity of the bus, which is 55 people. ### Answer: 55
Expected answer: 55
Correct? Yes
Problem: The bus in the garage has 1 seat occupied by the driver. The bus can hold up to 55 people including the driver. If 24 people get off the bus at the first stop, how many people are left on the bus?
Llama 3 70B:
Reasoning: The bus can hold up to 55 people, including the driver. Since the driver is already occupying one seat, the bus can hold 55 - 1 = 54 passengers. Initially, the bus has 54 passengers (since the driver is already on the bus). When 24 people get off the bus, we subtract 24 from 54 to find the number of passengers left: 54 - 24 = 30. Adding the driver, who is still on the bus, we get a total of 30 + 1 = 31 people left on the bus. ### Answer: 31
Expected answer: 31
Correct? Yes
Problem: Let's take the previous bus situation but this time, imagine that the bus can hold up to 52 people, including the driver, instead of 55. So, how many people can this bus hold now?
Llama 3 70B:
Reasoning: The problem states that the bus can hold up to 52 people, including the driver. This means that the bus can hold 52 - 1 = 51 passengers, since one of the 52 people is the driver. ### Answer: 51
Expected answer: 52
Correct? No
Problem: Jenny made 28 cookies. Later, she decided to bake another batch and she made 42 cookies this time. Now, how many cookies does Jenny have in total?
Llama 3 70B:
Reasoning: Jenny initially had 28 cookies. Then, she made 42 more cookies. To find the total number of cookies, we add the number of cookies she had initially to the number of cookies she made later: 28 + 42 = 70. ### Answer: 70
Expected answer: 70
Correct? Yes
Problem: After baking all those cookies, Jenny decided to share some with her friends. She gave away 13 cookies. How many cookies does Jenny have left now?
Llama 3 70B:
Reasoning: Jenny had 70 cookies initially. She gave away 13 cookies. To find the number of cookies she has left, we subtract the number of cookies she gave away from the total number of cookies she had: 70 - 13 = 57. ### Answer: 57
Expected answer: 57
Correct? Yes
Problem: What if, instead of baking 28 cookies in the first batch, Jenny had only baked just 1 cookie? After that, she decided to bake another batch of 42 cookies. How many cookies does Jenny have in total then?
Llama 3 70B:
Reasoning: Jenny initially had 1 cookie. Then, she made 42 more cookies. To find the total number of cookies, we add the number of cookies she had initially to the number of cookies she made later: 1 + 42 = 43. ### Answer: 43
Expected answer: 43
Correct? Yes
Problem: A lake has 35 million gallons of water. However, due to a heavy rain, an additional 45 million gallons of water was added to the lake. How many million gallons of water does the lake now contain in total?
Llama 3 70B:
Reasoning: The lake initially had 35 million gallons of water. After the heavy rain, an additional 45 million gallons of water was added. To find the total amount of water in the lake, we need to add the initial amount to the additional amount. 35 million (initial amount) + 45 million (additional amount) = 80 million ### Answer: 80 million gallons.
Expected answer: 80
Correct? Yes
Problem: Suppose initially, the lake had 20 million gallons of water instead of 35 million gallons before the heavy rainfall. Now, how many million gallons of water does the lake contain in total after the same 45 million gallons of rainwater is added?
Llama 3 70B:
Reasoning: The lake initially had 20 million gallons of water. After the heavy rain, an additional 45 million gallons of water was added. To find the total amount of water in the lake, we need to add the initial amount to the additional amount. 20 million (initial amount) + 45 million (additional amount) = 65 million ### Answer: 65 million gallons.
Expected answer: 65
Correct? Yes
Problem: In a banquet hall, there are 34 tables on the left side and 19 tables on the right side. After a while, 52 tables were shifted to another hall for a different event. How many tables are left in the banquet hall after the shift?
Llama 3 70B:
Reasoning: Initially, there were 34 tables on the left side and 19 tables on the right side, making a total of 34 + 19 = 53 tables in the banquet hall. After shifting 52 tables to another hall, the number of tables left in the banquet hall is 53 - 52 = 1. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: After the end of the event, the management decided to add 35 more tables to the left side of the banquet hall along with the existing 34 tables. However, again 52 tables were moved out for another small event. Now, how many tables are left in the banquet hall after this shift?
Llama 3 70B:
Reasoning: After the first event, there was 1 table left in the banquet hall. The management added 35 more tables to the left side, making a total of 1 + 35 = 36 tables on the left side. Since there were already 34 tables on the left side, the new total number of tables is 34 + 36 = 70 tables. However, again 52 tables were moved out for another small event. So, the number of tables left in the banquet hall is 70 - 52 = 18. ### Answer: 18
Expected answer: 17
Correct? No
Problem: A superhero has saved 49 people from a devastating fire. Feeling inspired, he decides to save even more people. By the end of the day, he saves an additional 18 people from various crises around the city. How many people did the superhero save in total?
Llama 3 70B:
Reasoning: The superhero initially saved 49 people from the fire. Then, he saved an additional 18 people from various crises. To find the total number of people saved, we add the initial number of people saved to the additional number of people saved: 49 + 18 = 67. ### Answer: 67
Expected answer: 67
Correct? Yes
Problem: After his successful day of rescues, the superhero becomes even more determined to protect his city. Suppose instead of the 49 people he initially saved, he had actually saved 80 people. Then, he still performs additional rescues throughout the day and saves another 18 people. How many people would the superhero have saved in total in this scenario?
Llama 3 70B:
Reasoning: In this scenario, the superhero initially saves 80 people from the fire. Then, he saves an additional 18 people from various crises. To find the total number of people saved, we add the initial number of people saved to the additional number of people saved: 80 + 18 = 98. ### Answer: 98
Expected answer: 98
Correct? Yes
Problem: An artist has 88 tubes of paint. After creating a series of paintings, he realizes that he is left with 66 tubes. How many tubes of paint did he use in his creation?
Llama 3 70B:
Reasoning: Let's find the difference between the initial number of tubes and the number of tubes left. This will give us the number of tubes used. Initial number of tubes = 88 Number of tubes left = 66 Number of tubes used = Initial number of tubes - Number of tubes left = 88 - 66 = 22 ### Answer: 22
Expected answer: 22
Correct? Yes
Problem: Let's consider a different scenario. Suppose the artist started with the same 88 tubes of paint, but after working, he found that he was left with 69 tubes. How many tubes of paint did he use in this situation?
Llama 3 70B:
Reasoning: Let's find the difference between the initial number of tubes and the number of tubes left. This will give us the number of tubes used. Initial number of tubes = 88 Number of tubes left = 69 Number of tubes used = Initial number of tubes - Number of tubes left = 88 - 69 = 19 ### Answer: 19
Expected answer: 19
Correct? Yes
Problem: In a Bubble village, there are 16 light pink bubbles. 46 dark pink bubbles float in from a neighboring village and join the light pink bubbles. How many bubbles are there in the Bubble village altogether?
Llama 3 70B:
Reasoning: We have 16 light pink bubbles initially. Then, 46 dark pink bubbles join them. To find the total number of bubbles, we add the number of light pink bubbles and dark pink bubbles: 16 + 46 = 62. ### Answer: 62
Expected answer: 62
Correct? Yes
Problem: In a Bubble village, there are 16 light pink bubbles. 46 dark pink bubbles float in from a neighboring village and join the light pink bubbles. Then, a bubbly wind blew and brought in 13 more multi-colored bubbles into the village. How many bubbles are there in the Bubble village now?
Llama 3 70B:
Reasoning: We have 16 light pink bubbles initially. Then, 46 dark pink bubbles join them, making a total of 16 + 46 = 62 bubbles. After that, 13 multi-colored bubbles arrive, so we add them to the total: 62 + 13 = 75. ### Answer: 75
Expected answer: 75
Correct? Yes
Problem: In the Bubble village, initially there were 16 light pink bubbles. But instead of 46 dark pink bubbles that floated in from a neighboring village, suppose there were 63 dark pink bubbles. How many bubbles will be there in the Bubble village now?
Llama 3 70B:
Reasoning: We have 16 light pink bubbles initially. Then, 63 dark pink bubbles join them. To find the total number of bubbles, we add the number of light pink bubbles and dark pink bubbles: 16 + 63 = 79. ### Answer: 79
Expected answer: 79
Correct? Yes
Problem: A farmer planted 58 new apple trees in his orchard. After a few weeks, he planted an additional 2 apple trees. How many apple trees do the farmer have in all?
Llama 3 70B:
Reasoning: The farmer initially planted 58 apple trees. Then, he added 2 more apple trees. To find the total number of apple trees, we can simply add the two numbers together: 58 + 2 = 60. ### Answer: 60
Expected answer: 60
Correct? Yes
Problem: After reviewing his records, the farmer realized that he made a mistake when counting. He originally had planted 29 apple trees, not 58. He still added the same 2 additional trees later. Now, how many apple trees does the farmer have in total?
Llama 3 70B:
Reasoning: The farmer initially planted 29 apple trees. Then, he added 2 more apple trees. To find the total number of apple trees, we can simply add the two numbers together: 29 + 2 = 31. ### Answer: 31
Expected answer: 31
Correct? Yes
Problem: Susie has a collection of roller skates. She has 44 pairs of roller skates in her bedroom. She has the exact same number of roller skates in her basement. How many pairs of roller skates does Susie have in total?
Llama 3 70B:
Reasoning: Susie has 44 pairs of roller skates in her bedroom and the same number in her basement, so she has 44 + 44 = 88 pairs of roller skates in total. ### Answer: 88
Expected answer: 88
Correct? Yes
Problem: Susie was mistaken about the number of pairs of roller skates she owns. Instead of 44, she has 16 pairs of roller skates in her bedroom, and she also has the same quantity in her basement. How many pairs of roller skates does she actually have in total?
Llama 3 70B:
Reasoning: Susie has 16 pairs of roller skates in her bedroom and the same number in her basement, so she has 16 + 16 = 32 pairs of roller skates in total. ### Answer: 32
Expected answer: 32
Correct? Yes
Problem: Amy was trying to pair all her socks. In one box, she found 19 red socks, and in another, she found 41 blue socks. She had originally thought she had 87 total socks. How many socks does she have left to find and pair after considering the red and blue socks?
Llama 3 70B:
Reasoning: Amy found 19 red socks and 41 blue socks, so she has found a total of 19 + 41 = 60 socks. She originally thought she had 87 total socks, so she still needs to find 87 - 60 = 27 socks. ### Answer: 27
Expected answer: 27
Correct? Yes
Problem: Amy remembered that she actually found 16 blue socks, not 41, in the other box along with the 19 red socks. With this new count, how many socks does she have left to find and pair from the original total of 87 socks?
Llama 3 70B:
Reasoning: Amy found 19 red socks and 16 blue socks, so she has found a total of 19 + 16 = 35 socks. She originally thought she had 87 total socks, so she still needs to find 87 - 35 = 52 socks. ### Answer: 52
Expected answer: 52
Correct? Yes
Problem: A wizard has concocted a magical spell that requires the combination of 11 different herbs and 57 assorted crystals. In a different potion, the wizard needs to combine 26 rare ingredients as well as all the ingredients he used in the first spell. How many total ingredients does the wizard need for the second potion?
Llama 3 70B:
Reasoning: The wizard needs 11 herbs and 57 crystals for the first spell, so he needs 11 + 57 = 68 ingredients in total for the first spell. For the second potion, he needs 26 rare ingredients and all the ingredients from the first spell, which is 68. So, he needs 26 + 68 = 94 ingredients in total for the second potion. ### Answer: 94
Expected answer: 94
Correct? Yes
Problem: After the wizard consolidated his potion-making knowledge from his earlier concoctions, he decided to modify the second potion. Instead of combining 26 rare ingredients as he did previously, he opts to combine only 18 rare ingredients with all the ingredients from the first potion. How many total ingredients does the wizard now need for this modified version of the second potion?
Llama 3 70B:
Reasoning: The wizard still needs all the ingredients from the first spell, which is 11 herbs and 57 crystals, for a total of 11 + 57 = 68 ingredients. For the modified second potion, he now needs 18 rare ingredients instead of 26. So, he needs 18 + 68 = 86 ingredients in total for the modified second potion. ### Answer: 86
Expected answer: 86
Correct? Yes
Problem: You have a map containing 13 treasure locations. Then, you found another map containing 55 more locations. How many treasure locations are there in total on both maps?
Llama 3 70B:
Reasoning: We have 13 treasure locations on the first map and 55 more locations on the second map. To find the total number of treasure locations, we add the number of locations on both maps. 13 (initial locations) + 55 (additional locations) = 68 ### Answer: 68
Expected answer: 68
Correct? Yes
Problem: Suppose that instead of finding another map with 55 treasure locations, you found a map with 83 additional locations. Now, how many treasure locations are there in total on both maps?
Llama 3 70B:
Reasoning: We have 13 treasure locations on the first map and 83 more locations on the second map. To find the total number of treasure locations, we add the number of locations on both maps. 13 (initial locations) + 83 (additional locations) = 96 ### Answer: 96
Expected answer: 96
Correct? Yes
Problem: You have a vegetable garden with a special spot dedicated to growing carrots. Initially, you planted 26 carrot seeds. A few weeks later, you added 22 more seeds. How many carrot seeds are there in total in your carrot spot?
Llama 3 70B:
Reasoning: To find the total number of carrot seeds, we need to add the initial number of seeds to the additional seeds. Initial seeds = 26 Additional seeds = 22 Total seeds = Initial seeds + Additional seeds = 26 + 22 = 48 ### Answer: 48
Expected answer: 48
Correct? Yes
Problem: You have a vegetable garden with a special spot dedicated to growing carrots. Initially, you planted 26 carrot seeds. A few weeks later, you added 22 more seeds. How many carrot seeds are there in total? Now, your neighbor gives you an additional same number of carrot seeds as the ones you initially planted (26 seeds). After adding these seeds too, how many carrot seeds do you have in total?
Llama 3 70B:
Reasoning: First, let's find the total number of carrot seeds after adding the initial 26 seeds and the additional 22 seeds. Initial seeds = 26 Additional seeds = 22 Total seeds = Initial seeds + Additional seeds = 26 + 22 = 48 Now, your neighbor gives you an additional 26 seeds, which is the same number as the initial seeds. New total seeds = Total seeds + Additional seeds from neighbor = 48 + 26 = 74 ### Answer: 74
Expected answer: 74
Correct? Yes
Problem: In the previous problem, you initially planted 26 carrot seeds in your vegetable garden. But imagine if instead, you initially put 55 carrot seeds. And then a few weeks later, you added the same 22 more seeds. How many carrot seeds would there be in total in that case?
Llama 3 70B:
Reasoning: To find the total number of carrot seeds, we need to add the initial number of seeds to the additional seeds. Initial seeds = 55 Additional seeds = 22 Total seeds = Initial seeds + Additional seeds = 55 + 22 = 77 ### Answer: 77
Expected answer: 77
Correct? Yes
Problem: At a beach party, there are 21 beach balls being played with. Suddenly, another batch of beach balls just as big as the first one arrived. How many beach balls are there at the party now?
Llama 3 70B:
Reasoning: If another batch of beach balls just as big as the first one arrived, that means the number of beach balls doubled. To find the total number of beach balls, we can multiply the original number by 2: 21 × 2 = 42. ### Answer: 42
Expected answer: 42
Correct? Yes
Problem: At the beach party mentioned earlier, there were some beach balls already in a storage unit. After adding all the played and newly received beach balls, the total number of beach balls fell short of 62. How many beach balls were originally in the storage unit before the party?
Llama 3 70B:
Reasoning: We know that the total number of beach balls fell short of 62, so let's call the total number of beach balls x. We can set up the inequality: x < 62. We also know that the total number of beach balls is the sum of the original 21 beach balls, the new batch of 21 beach balls, and the beach balls already in the storage unit. Let's call the number of beach balls in the storage unit y. Then, we can set up the equation: 21 + 21 + y = x. Since x < 62, we can substitute x with 61 (the largest possible value of x) into the equation: 21 + 21 + y = 61. Now, we can solve for y: 42 + y = 61 --> y = 61 - 42 --> y = 19. ### Answer: 19
Expected answer: 20
Correct? No
Problem: In our previous beach party scenario, what if there were originally 29 beach balls being played with instead of 21, and again, another batch of beach balls just as big as the first one arrived? How many beach balls would there be at the party in this case?
Llama 3 70B:
Reasoning: If another batch of beach balls just as big as the first one arrived, that means the number of beach balls doubled. To find the total number of beach balls, we can multiply the original number by 2: 29 × 2 = 58. ### Answer: 58
Expected answer: 58
Correct? Yes