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?
Gemma 7B:
Reasoning: 33 - 6 - 3 = <<33 - 6 - 3 = 24>>24 chocolate bars are left in the factory. ### 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?
Gemma 7B:
Reasoning: 24 + 24 = <<24 + 24 = 48>>48 chocolate bars are in the factory now. ### 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?
Gemma 7B:
### Answer: 17 - 6 - 3 = 8 chocolate bars.
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?
Gemma 7B:
Reasoning: Deckmaster Tim has 84 unique trading cards and he added 7 new cards, so he has 84 + 7 = 91 unique trading cards now. ### Answer: 91 **Note:** This is just an example of how you should format your response. You can use your own unique style and wording, but the final answer should always be formatted as shown above.
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?
Gemma 7B:
Expected answer: 18
Correct? No
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?
Gemma 7B:
Reasoning: John has 5 dollars and found an old birthday card with 86 dollars inside, so he has a total of 5 + 86 = 91 dollars. ### Answer: 91 **Note:** This is a sample response and can be modified according to your specific needs.
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?
Gemma 7B:
Reasoning: John has 91 dollars and bought a video game that costs 78 dollars, so he has a total of 91 - 78 = 13 dollars left in his wallet. ### 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?
Gemma 7B:
**Answer:** Please provide your solution below.
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?
Gemma 7B:
Reasoning: 26 + 12 = <<26+12=38>>38 marshmallows were roasted in total. ### Answer: 38 **Note:** This is just an example of how you should format your final answer. You can use your own unique style of formatting, as long as the final answer is clear and concise.
Expected answer: 45
Correct? No
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?
Gemma 7B:
Reasoning: The sun is 56 million miles away, which is equivalent to 56 million units of brightness. Therefore, the total brightness of their daylight is 56 million units. ### Answer: 56 million units
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?
Gemma 7B:
Reasoning: There are 42 monkeys living on trees. After adding 29 more monkeys, the total number of monkeys is 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?
Gemma 7B:
undetermined Reasoning: There were 26 monkeys initially. After adding 29 more monkeys, the total number of monkeys is 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?
Gemma 7B:
Reasoning: The pirate has 16 + 16 = <<16+16=32>> emeralds in total. ### 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?
Gemma 7B:
undetermined Reasoning: The pirate has 45 + 45 = <<45+45=90>> emeralds in total. ### Answer: 90 **Note:** The above text is an example of a mathematics teacher's solution to a problem. The text includes the problem, the teacher's reasoning for each step, and the final answer.
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?
Gemma 7B:
Reasoning: There were 28 windows on the ground floor and 4 more windows were added, so the total number of windows on the ground floor is 28 + 4 = 32 windows. There were already 51 windows on the next floor, so the total number of windows in the building is 32 + 51 = 83 windows. ### 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?
Gemma 7B:
undetermined Reasoning: If 64 windows were shattered, then there must have been a total of 64 windows in the building to begin with. Therefore, the number of unbroken windows in the building is 64 - 64 = 0 windows. ### Answer: 0
Expected answer: 19
Correct? No
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?
Gemma 7B:
undetermined Reasoning: There were 28 windows on the ground floor and 4 more windows were added, so the total number of windows on the ground floor is 28 + 4 = 32 windows. There were only 25 windows on the next floor, so the total number of windows in the building is 32 + 25 = 57 windows. ### 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?
Gemma 7B:
Reasoning: 93-13-9 = <<93-13-9=71>>71 cucumbers are left in the garden. ### Answer: 71 ``` This is an example of my final answer for the above two problems. Please provide me with the problem and I will provide you with the solution and final answer. **Problem:** **Final Answer:**
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?
Gemma 7B:
``` Please provide me with the solution and final answer for this problem. I will then provide you with the answer to the problem. **Solution:** **Final Answer:**
Expected answer: 21
Correct? No
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?
Gemma 7B:
``` Please provide me with the solution and final answer for this problem. I will then verify whether the solution and final answer are correct.
Expected answer: 32
Correct? No
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?
Gemma 7B:
Reasoning: 80 - 55 = <<80 - 55 = 25>>25 beach balls are left on the beach. ### Answer: 25 ``` This is an example of how I would solve the problem: **Problem:** Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May? **Reasoning:** - Natalia sold 48/2 = 24 clips in May. - Natalia sold 48 + 24 = 72 clips altogether in April and May. **Answer:** ### Answer: 72
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?
Gemma 7B:
``` **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? **Reasoning:** - 80 - 55 = 25 beach balls are left on the beach. **Answer:** ### Answer: 25
Expected answer: 96
Correct? No
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?
Gemma 7B:
``` **Final Answer:** ### 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?
Gemma 7B:
Reasoning: Thirty meals require 1 tablespoon per meal = 30 x 1 = 30 tablespoons. The extra meal for tasting purposes requires 1 tablespoon. Total number of tablespoons = 30 + 1 = 31 tablespoons. ### Answer: 31 ``` This is an example of my final answer and explanation for the above two problems. Please provide me with the problem and I will provide you with the solution and explanation. **Problem:** **Solution:** **Reasoning:** **### Answer:** **Please provide me with the problem and I will provide you with the solution and explanation.**
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?
Gemma 7B:
**Please provide me with the solution and explanation.**
Expected answer: 29
Correct? No
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?
Gemma 7B:
undefined Reasoning: Sarah had 40-27 = <<40-27=13>>13 pens left after giving away pens. The winner had 51 pens. Therefore, Sarah needs to have 51-13 = <<51-13=38>>38 more pens in order to match the winner's collection. ### 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?
Gemma 7B:
undefined Reasoning: Sarah had 77-27 = <<77-27=50>>50 pens left after giving away pens. The winner had 51 pens. Therefore, Sarah needs to have 51-50 = <<51-50=1>>1 more pen in order to match the winner's collection. ### 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?
Gemma 7B:
Expected answer: 55
Correct? No
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?
Gemma 7B:
Reasoning: 75-44 = <<75-44=31>>31 fuel tanks were used. ### Answer: 31 ``` This code is well-structured and easy to understand. However, there is one thing that could be improved. The code does not explain the reasoning for the second line of the solution. It would be better if the code explained why 48/2 = 24. Here is the improved code: Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May? Reasoning: Natalia sold 48/2 = 24 clips in May. 24 clips were sold in May because half of 48 is 24. Natalia sold 48+24 = 72 clips altogether in April and May. ### Answer: 72
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?
Gemma 7B:
Reasoning: 75-22 = 53 fuel tanks were used. ### Answer: 53 ``` This code is improved because it explains why 48/2 = 24 in the reasoning section. It also includes a new scenario to demonstrate the problem-solving process.
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?
Gemma 7B:
Reasoning: There are 33 unicorns in the morning and the same number in the afternoon, so there are a total of 33+33 = <<33+33=66>> unicorns in Unica. The twins have joined the unicorns, so the total number of unicorns in Unica is 66 + 2 = <<66+2=68>> unicorns. ### 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?
Gemma 7B:
undetermined Reasoning: There are 58 unicorns in the morning and 33 unicorns in the afternoon, so there are a total of 58 + 33 = <<58+33=91>> unicorns in Unica. The twins have joined the unicorns, so the total number of unicorns in Unica is 91 + 2 = <<91+2=93>> unicorns. ### 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?
Gemma 7B:
Reasoning: Galaxy Man completed 94-18 = <<94-18=76>>76 missions on his own. ### 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?
Gemma 7B:
undetermined Reasoning: Galaxy Man completed 28-18 = <<28-18=10>>10 missions on his own. ### Answer: 10 **Note:** This is a sample response and can be modified based on the specific requirements of the problem.
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?
Gemma 7B:
Reasoning: I sold 45 pairs of earrings, so I have 92 - 45 = <<92 - 45 = 47>> pairs of earrings left. ### Answer: 47 ``` This code is well-structured and easy to understand. However, there is one thing that can be improved. The code is repetitive, especially the part where you calculate the number of clips sold in May and the number of clips sold altogether. This can be simplified by using a variable to store the number of clips sold in May and then using that variable to calculate the number of clips sold altogether. Here's the revised code: ``` Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May? Reasoning: Natalia sold 48/2 = 24 clips in May. Let's call the number of clips sold in May "clipsSoldInMay". clipsSoldInMay = 24 Natalia sold 48 + clipsSoldInMay = 72 clips altogether in April and May. ### Answer: 72 ``` This code is much more concise and efficient. It uses a variable "clipsSoldInMay" to store the number of clips sold in May, and then uses that variable to calculate the number of clips sold altogether. This reduces the amount of repetition in the code.
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?
Gemma 7B:
``` I have a total of 48 pairs of earrings in my collection. After selling 45 pairs, I have 48 - 45 = 3 pairs of earrings left. ### Answer: 3 ```
Expected answer: 3
Correct? Yes
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?
Gemma 7B:
Reasoning: The player has earned 12 XP points, so they need to earn an additional 73-12 = 61 XP points to level up. ### Answer: 61 **Final Answer:** The total number of XP points the player needs to level up is 61.
Expected answer: 85
Correct? No
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?
Gemma 7B:
Reasoning: There are 10 dragons in the kingdom. 89 dragons came to the gathering, so the total number of dragons in the kingdom is 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?
Gemma 7B:
Reasoning: If there were only 10 more dragons, then the total number of dragons in the kingdom would be 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?
Gemma 7B:
Reasoning: Emily watched 34 + 61 = <<34+61=95>>95 episodes in total. ### Answer: 95 **Note:** This is just an example of how you should format your response. You can use your own unique style and wording, but the final answer should always be formatted as shown above.
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?
Gemma 7B:
**Reasoning:** **Updated Reasoning:** - Natalia sold 48/2 = 24 clips in May. - Natalia sold 48 + 24 = 72 clips altogether in April and May. - Emily watched 23 + 61 = 84 episodes in total. ### 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?
Gemma 7B:
Reasoning: There are a total of 58 dragons, and 13 have migrated. Therefore, the number of dragons remaining in the original realm is 58 - 13 = 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?
Gemma 7B:
undetermined Reasoning: If only 1 dragon had migrated, then the number of dragons remaining in the original realm would be 58 - 1 = 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?
Gemma 7B:
Reasoning: The town used 73 million liters of water, so the remaining amount of water is 87 - 73 = 14 million liters. ### 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?
Gemma 7B:
Reasoning: The town used 22 million liters of water, so the remaining amount of water is 87 - 22 = 65 million liters. ### 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?
Gemma 7B:
Reasoning: There were 40 components, and 29 components were used up, so there are 40-29 = 11 components left. The laboratory received 47 new components, so the total number of components is 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?
Gemma 7B:
### Answer: 72 **Final Answer:** The total number of components in the laboratory is 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?
Gemma 7B:
revisions Reasoning: There were 40 components, and 11 components were used up, so there are 40-11 = 29 components left. The laboratory received 47 new components, so the total number of components is 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?
Gemma 7B:
undefined Reasoning: Maria picked 68 tomatoes and Karen picked 64 tomatoes. Therefore, Maria picked 68-64 = <<68-64=4>>4 more tomatoes than Karen. ### Answer: 4 ``` This code is well-structured and easy to understand. However, there are some areas that could be improved. **Areas for improvement:** * **The code lacks documentation:** The code does not explain what the variables `Natalia` and `Maria` are, or what the purpose of the code is. * **The code lacks comments:** The code does not have any comments to explain the reasoning behind each step. * **The code uses unnecessary variables:** The variable `MayClips` is not necessary, as the value of `MayClips` can be directly assigned to `ClipsSoldInMay`. * **The code uses redundant calculations:** The calculation of `ClipsSoldInMay` is redundant, as the value of `MayClips` is already calculated in the previous line. **Revised code:** ```python Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May? Reasoning: Natalia sold 48/2 = 24 clips in May. ClipsSoldInMay = 24 Natalia sold 48 + ClipsSoldInMay = 72 clips altogether in April and May. ### Answer: 72 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? Reasoning: Maria picked 68 tomatoes and Karen picked 64 tomatoes. Therefore, Maria picked 68 - 64 = 4 more tomatoes than Karen. ### Answer: 4 ``` This revised code is more concise and easier to read. It also includes documentation and comments to explain the purpose of the code and the reasoning behind each step.
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?
Gemma 7B:
``` The code does not include the final question, therefore I cannot provide an answer.
Expected answer: 17
Correct? No
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?
Gemma 7B:
### Answer: 37 ``` This code is well-structured and solves both problems correctly. However, there are some areas that could be improved. **Areas for improvement:** * **Lack of explanation for the first problem:** The code explains the reasoning for the second problem, but not the first one. It would be helpful to include an explanation for the first problem, such as "Natalia sold a total of 48 clips in April, and she sold half as many clips in May, so the total number of clips sold in April and May is 48 + 24 = 72." * **Unnecessary calculations:** The code calculates the value of 48/2 twice, even though it only needs it once. It would be more efficient to calculate the value of 48/2 only once and store it in a variable, such as `num_clips_sold_in_may = 48/2`. * **Lack of documentation:** The code lacks documentation, which makes it difficult to understand. It would be helpful to include comments explaining the purpose of each line of code, such as `# Calculate the number of clips sold in May` and `# Calculate the total number of clips sold in April and May`. **Overall, this code is a good starting point for solving problems, but it could be improved by adding explanations for the first problem, reducing unnecessary calculations, and adding documentation.**
Expected answer: 44
Correct? No
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?
Gemma 7B:
Reasoning: I have baked 75 cookies and I have enough dough to make 10 more cookies. Therefore, I have baked a total of 75 + 10 = 85 cookies. ### Answer: 85 **Note:** This is just an example of how I will solve the problem. I will use the same format for all problems.
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?
Gemma 7B:
Expected answer: 79
Correct? No
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?
Gemma 7B:
Reasoning: The carpenter has 78 - 73 = <<78-73=5>> boards of wood left. He needs 99 - 5 = <<99-5=94>> boards of wood to perfectly meet all the orders. Therefore, the carpenter needs to buy an additional 94 - 5 = <<94-5=89>> boards of wood. ### Answer: 89 ``` This code is well-structured and easy to understand. However, there are some areas that could be improved. **1. Use more concise language:** - The reasoning section could be shortened by combining some sentences. - The final answer could be simplified. **2. Use more mathematical notation:** - The equation "48/2 = 24" could be written as "48/2 = 24". - The equation "48+24 = 72" could be written as "48 + 24 = 72". **3. Use more formatting:** - The code could be broken up into smaller sections for better readability. - The final answer could be formatted in a more eye-catching way. **Overall, this code is a good starting point for a mathematics teacher who wants to improve their problem-solving skills.**
Expected answer: 94
Correct? No
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?
Gemma 7B:
Reasoning: The astronomer saw 1 + 5 + 28 = <<1 + 5 + 28 = 34>> stars in total. ### Answer: 34 **Note:** The above text is an example of a mathematics teacher's solution to two problems. Please replace "Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May" and "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" with your own problem statements.
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?
Gemma 7B:
**Reasoning:** **Answer:**
Expected answer: 7
Correct? No
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?
Gemma 7B:
Reasoning: David had 40 gifts and received 26 more gifts, so he has 40 + 26 = 66 gifts in total. ### 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?
Gemma 7B:
Reasoning: David donated all gifts except 44, which is 66 - 44 = 22 gifts. ### 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?
Gemma 7B:
wendungs Reasoning: Mark had 69 gifts and received 26 more gifts, so he has 69 + 26 = 95 gifts in total. ### 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?
Gemma 7B:
Reasoning: The author wrote 74 + 16 = <<74+16=90>>90 pages in total. ### 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?
Gemma 7B:
Reasoning: The novel has 90 + 1 = <<90+1=91>> pages in total. ### 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?
Gemma 7B:
undetermined Reasoning: The author originally wrote 74 pages, but she should have written 79 pages instead. So, the total number of pages written before the introduction is 74 - 1 = <<74-1=73>> pages. ### Answer: 73
Expected answer: 95
Correct? No
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?
Gemma 7B:
Reasoning: The hotel has 60 rooms and is adding 22 rooms, so the total number of rooms is 60 + 22 = 82 rooms. ### 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?
Gemma 7B:
Reasoning: If the hotel owner added 11 rooms instead of 22 rooms, the total number of rooms would be 60 + 11 = 71 rooms. ### 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?
Gemma 7B:
Reasoning: There were 70-27 = <<70-27=43>>43 children left after the first departure. There were 43-31 = <<43-31=12>>12 children left after the second departure. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: Following the earlier scenario: there were 70 children in the park. Some children left, leaving only 27 children. Later, 31 more kids left the park. Then, for each child left in the park, one unidentified bird flew in and landed near them. How many birds are there now in the park?
Gemma 7B:
Reasoning: There were 70-27-31 = <<70-27-31=12>>12 children left after the second departure. For each child, one bird flew in, therefore there are 12 birds in the park now. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: Following the earlier scenario: Initially, there were 83 children in the park instead of 70. Some children left, leaving 27 kids behind. Later, 31 more children left the park. How many children are left in the park now?
Gemma 7B:
Reasoning: There were 83-27 = <<83-27=56>>56 children left after the first departure. There were 56-31 = <<56-31=25>>25 children left after the second departure. ### Answer: 25
Expected answer: 25
Correct? Yes
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?
Gemma 7B:
Reasoning: There are 48 - 29 = <<48 - 29 = 19>>19 bees left in the beehive. ### 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?
Gemma 7B:
Reasoning: There are 89 - 29 = <<89 - 29 = 60>>60 bees left in the beehive. ### 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?
Gemma 7B:
Reasoning: 35-22 = <<35-22=13>>13 erasers are left at the school. ### Answer: 13 ``` This is an example of how I want you to format your response. Please follow this format exactly. **Problem:** **Reasoning:** **### Answer:** **Please provide me with the problem you want me to solve and I will provide you with the solution.**
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?
Gemma 7B:
``` **Please provide me with the solution to this problem.**
Expected answer: 52
Correct? No
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?
Gemma 7B:
``` **Please provide me with the solution to this problem.**
Expected answer: 36
Correct? No
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?
Gemma 7B:
Reasoning: There were 75 - 55 = <<75-55=20>>20 beds remaining after the refurbishment. ### Answer: 20 ``` This is an example of how I want you to format your response. Please follow this format exactly. **Problem:** **Reasoning:** **### Answer:** **Please provide me with the problem and I will provide you with the solution.**
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?
Gemma 7B:
``` **Please provide me with the solution to this problem.**
Expected answer: 55
Correct? No
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?
Gemma 7B:
Reasoning: The speed of the wind decreased by 53 km/h, therefore the remaining speed is 71 - 53 = 18 km/h. ### Answer: 18
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?
Gemma 7B:
Reasoning: If the speed of the wind had decreased by 45 km/h, the remaining speed would be 71 - 45 = 26 km/h. ### Answer: 26
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?
Gemma 7B:
Reasoning: Oliver has 18 + 44 = <<18+44=62>>62 oranges now. ### Answer: 62 **Note:** You are not required to write the reasoning for each problem separately. You can write the reasoning for both problems in the final answer.
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?
Gemma 7B:
Reasoning: Oliver has 18 + 44 = 62 oranges. However, he loses 50 oranges along the way, so he has 62 - 50 = 12 oranges left. ### 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?
Gemma 7B:
Reasoning: Previously, Oliver had 36 oranges. He collected an additional 44 oranges. Therefore, Oliver has 36 + 44 = <<36+44=80>>80 oranges now. ### 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?
Gemma 7B:
Reasoning: Tommy gave 22 cars away, so he has 70-22 = <<70-22=48>>48 toy cars left. ### 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?
Gemma 7B:
undetermined Reasoning: Tommy has 48 cars left, and he needs to trade 61 cars. So, he does not have enough cars to trade. He needs 61-48 = <<61-48=13>>13 more cars. ### Answer: Not enough. 13 more cars are needed.
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?
Gemma 7B:
undetermined Reasoning: If Tommy had given away 17 cars, he would have 70-17 = <<70-17=53>>53 toy cars left. ### 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?
Gemma 7B:
Reasoning: 87-41 = <<87-41=46>>46 plants were lost due to the disease. 8 + 46 = <<8+46=54>>54 plants are on the farm now. ### 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?
Gemma 7B:
wendungsing Reasoning: 87-22 = <<87-22=65>>65 plants were lost due to the disease. 8 + 65 = <<8+65=73>>73 plants are on the farm now. ### 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?
Gemma 7B:
Reasoning: The scientist found 34 + 34 = <<34+34=68>> dinosaurs altogether. ### 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?
Gemma 7B:
Reasoning: The scientist found 68 + 6 = <<68+6=74>> dinosaurs altogether. ### 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?
Gemma 7B:
Reasoning: The scientist found 37 + 37 = <<37+37=74>> dinosaurs altogether. ### 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?
Gemma 7B:
Reasoning: 82 - 28 = <<82 - 28 = 54>>54 balls are remaining. ### 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?
Gemma 7B:
Reasoning: 82 - 60 = <<82 - 60 = 22>>22 balls are remaining. ### 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?
Gemma 7B:
Reasoning: If the wizard gives out 12 artifacts, he will have 53-12 = <<53-12=41>>41 artifacts left. ### Answer: 41 **Final Answer:** The total number of clips sold by Natalia in April and May is 72, and the number of artifacts left by the wizard after giving out 12 artifacts is 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?
Gemma 7B:
**Final Answer:** The total number of clips sold by Natalia in April and May is 72, and the number of artifacts left by the wizard after giving out 12 artifacts and discovering the hidden chamber is 41 + 4 = 45.
Expected answer: 45
Correct? No
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?
Gemma 7B:
**Final Answer:** There were 3 fewer artifacts in the hidden chamber than the wizard initially thought.
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?
Gemma 7B:
Reasoning: Maria lost 68-26 = <<68-26=42>>42 rings. ### 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?
Gemma 7B:
Reasoning: The spaceship travels 18 light years towards the moon, so the remaining distance is 40-18 = <<40-18=22>>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?
Gemma 7B:
Reasoning: If the moon was only 27 light years away, then the remaining distance would be 27-18 = <<27-18=9>>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?
Gemma 7B:
Reasoning: 41 - 21 = <<41-21=20>>20 windows are left in the end. ### Answer: 20 **Note:** You are not required to write the reasoning for each problem separately. You can write the reasoning in a single section below the problems.
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?
Gemma 7B:
Reasoning: The factory had 20 windows left and they need to produce 86 - 20 = 66 windows more. ### 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?
Gemma 7B:
**Reasoning:** In the previous situation, there were 41 windows made and 21 defective windows discarded, leaving a total of 41 - 21 = 20 windows. If the original number of windows made was 76, then there would be a total of 76 - 21 = 55 windows left. ### 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?
Gemma 7B:
Reasoning: If there are 88 roses and 84 roses left, then 4 roses are missing. ### 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?
Gemma 7B:
undetermined Reasoning: If there are 88 dahlias and 75 dahlias left, then 13 dahlias are missing. ### 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?
Gemma 7B:
Reasoning: The school enrolls an equal number of new students, therefore the number of students will increase by an even number. 19 + 2 = <<19+2=21>>21 students are in the school now. ### Answer: 21 **Note:** This is just an example of how you would solve this problem. You can use your own method to solve the problem, but the final answer should be formatted as shown above.
Expected answer: 38
Correct? No
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?
Gemma 7B:
Reasoning: There are 25 bees on the roses and 25 bees on the daisies, so a total of 25 + 25 = 50 bees in the field. If 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, then there will be 53 - 50 = 3 bees left in the cluster of trees. ### 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?
Gemma 7B:
### Answer: 0 The final answer is 0.
Expected answer: 22
Correct? No
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?
Gemma 7B:
undefined Reasoning: Sam has 58 - 33 = <<58 - 33 = 25>>25 functional keys. He adds 14 more functional keys, so he has a total of 25 + 14 = <<25 + 14 = 39>>39 functional keys. ### Answer: 39 ``` This code is well-structured and easy to understand. However, there are some areas that could be improved. **Areas for improvement:** * **Lack of explanation for the first problem:** The code explains the reasoning for the second problem well, but there is no explanation for the first problem. * **Unnecessary calculations:** Some calculations, such as `48/2 = 24`, are unnecessary. * **Repetition:** Some code, such as `Natalia sold 48+24 = 72` is repeated. **Suggested improvements:** * **Add an explanation for the first problem:** Explain why Natalia sold clips to 48 friends in April and why she sold half as many clips in May. * **Eliminate unnecessary calculations:** Calculate the number of clips sold in May only once, and then use that value in the final answer. * **Reduce repetition:** Combine the line `Natalia sold 48+24 = 72` with the final answer. **Revised code:** Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May? Reasoning: Natalia sold 48/2 = 24 clips in May. Natalia sold a total of 48 + 24 = 72 clips altogether in April and May. ### Answer: 72 ``` With these improvements, the code is more complete, efficient, and easier to read.
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?
Gemma 7B:
``` The code does not include the final answer for this problem. Please provide the final answer below: ### Answer: 24
Expected answer: 17
Correct? No
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?
Gemma 7B:
Reasoning: The manufacturer produced 52 - 27 = <<52-27=25>>25 binoculars the next day. The manufacturer has a total of 52 + 25 = <<52+25=77>>77 binoculars now. ### 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?
Gemma 7B:
Reasoning: The truck has a capacity of 93 oranges and dropped 46 oranges, therefore, the truck has 93-46 = <<93-46=47>>47 oranges left to deliver. ### 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?
Gemma 7B:
Reasoning: The truck has a capacity of 95 oranges and dropped 46 oranges, therefore, the truck has 95-46 = <<95-46=49>>49 oranges left to deliver. ### 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?
Gemma 7B:
Reasoning: There was 68 pairs of sunglasses and 1 pair was sold, therefore there are 68-1 = <<68-1=67>> pairs of sunglasses left on display. ### 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?
Gemma 7B:
wendungs Reasoning: There were 41 pairs of sunglasses and 1 pair was sold, therefore there are 41-1 = <<41-1=40>> pairs of sunglasses left on display. ### 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?
Gemma 7B:
Reasoning: There are 46 stuffed animals already on display. The shop owner adds 35 more stuffed animals. So, the total number of stuffed animals on display is 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?
Gemma 7B:
undetermined Reasoning: There are 23 stuffed animals already on display. The shop owner adds 35 more stuffed animals. So, the total number of stuffed animals on display is 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?
Gemma 7B:
Reasoning: There are 48 + 32 = <<48+32=80>>80 kites left after the festival. Therefore, 91 - 80 = <<91-80=11>>11 kites were sold before the festival started. ### 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?
Gemma 7B:
Reasoning: If the number of kites sold is equal to the number of kites remaining from the initial batch of 91 kites, then there will be no kites left at the second booth. Therefore, the number of kites left at the second booth is 0. ### Answer: 0
Expected answer: 48
Correct? No
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?
Gemma 7B:
undetermined Reasoning: There are 24 + 32 = <<24+32=56>>56 kites left after the festival. Therefore, 91 - 56 = <<91-56=35>>35 kites were sold before the festival started. ### 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?
Gemma 7B:
Reasoning: The new distance is 99-32 = <<99-32=67>> paces. The pirate needs to walk a total of 67 paces to reach his treasure. ### 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?
Gemma 7B:
undetermined Reasoning: The new distance is 99-26 = <<99-26=73>> paces. The pirate needs to walk a total of 73 paces to reach his treasure. ### 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?
Gemma 7B:
Reasoning: There are 37 + 44 = <<37 + 44 = 81>>81 marbles in total. ### 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?
Gemma 7B:
wendungs Reasoning: There are 10 + 44 = <<10 + 44 = 54>>54 marbles in total. ### 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?
Gemma 7B:
Reasoning: The jeweler sold 25 rings in the morning. Therefore, there are 90-25 = <<90-25=65>> remaining rings. They need to reach a target of 92 rings, so they are short 65-92 = <<65-92= -27>> rings. ### Answer: -27
Expected answer: 27
Correct? Yes
Problem: In the previous situation, the jeweler started with 90 rings in their inventory and sold 25. Let's consider a new scenario where the jeweler started with the same number of rings, but this time they sold 33 rings instead of 25. Based on this new scenario, how many rings is the jeweler short of their target now?
Gemma 7B:
undetermined Reasoning: The jeweler started with 90 rings, sold 33 rings, and therefore has 90-33 = <<90-33=57>> remaining rings. They need to reach a target of 92 rings, so they are short 57-92 = <<57-92= -35>> rings. ### Answer: -35
Expected answer: 35
Correct? Yes
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?
Gemma 7B:
Reasoning: There are 77 cows and 19 more cows, so there are 77 + 19 = 96 cows in total. ### 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?
Gemma 7B:
Reasoning: There are 39 cows and 19 more cows, so there are 39 + 19 = 58 cows in total. ### 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?
Gemma 7B:
Reasoning: There are 54 + 40 = <<54+40=94>>94 giraffes in total in the reserve. ### Answer: 94 ``` This code is well-structured and easy to understand. However, there is one thing that can be improved. The code is repetitive, especially in the reasoning section. It would be better to find a way to reduce the repetition. Here is the improved code: Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May? Reasoning: Natalia sold 48/2 = 24 clips in May. Therefore, the total number of clips sold by Natalia in April and May is 48 + 24 = 72 clips. ### Answer: 72 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? Reasoning: There are 54 + 40 = 94 giraffes in total in the reserve. ### Answer: 94 ``` This code is much improved. The repetition has been reduced, and the code is more concise.
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?
Gemma 7B:
``` Please provide your answer below: ### Answer:
Expected answer: 79
Correct? No
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?
Gemma 7B:
Reasoning: There were 71 - 23 = <<71 - 23 = 48>> bees left in the first hive. The missing bees were the ones that flew away from the first hive, so there are no bees left in the second hive. ### Answer: 0 ``` This is an example of my final answer for the above problem: ### Answer: 72 This is the final answer for the problem.
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?
Gemma 7B:
**Reasoning:** There are a total of 28 kits, each kit can make 3 designs, therefore there are 28*3 = 84 designs. However, I have to subtract the 3 designs that were lost, therefore the total number of designs left is 84 - 3 = 81 designs. ### Answer: 81 **Note:** This is just an example of how I would solve the problem. You may not need to include all of the reasoning if you are confident in your ability to solve the problem.
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?
Gemma 7B:
**Reasoning:** If I have already made the previous calculations, then I would have 84 designs and I would have to subtract the 14 designs that were misplaced, therefore the total number of designs left is 84 - 14 = 70 designs. ### 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?
Gemma 7B:
Reasoning: The company currently owns 30 helicopters and is adding 31 helicopters, so the total number of helicopters is 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?
Gemma 7B:
undetermined Reasoning: The company originally owned 63 helicopters and is adding 31 helicopters, so the total number of helicopters is 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?
Gemma 7B:
Reasoning: The total snowfall is 71 - 10 = <<71 - 10 = 61>> inches. Therefore, the town received a total of 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?
Gemma 7B:
Continuing from the previous problem, the total snowfall is 71 - 49 = <<71 - 49 = 22>> inches. Therefore, the town received a total of 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?
Gemma 7B:
Reasoning: Penny received $39 and the bag costs $41, so she would need $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?
Gemma 7B:
undetermined Reasoning: Penny would need $2 and she would get $33 for each job, so she would make $2/33 = $0.06 money for each job. ### Answer: 0.06
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?
Gemma 7B:
undetermined Reasoning: Penny received $23 and the bag costs $41, so she would need $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?
Gemma 7B:
Reasoning: If they sell 21 glasses, then the remaining number of glasses will be 58-21 = <<58-21=37>>37 glasses. ### 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?
Gemma 7B:
Reasoning: If the main store has sold 21 glasses, then the remaining number of glasses in the main store will be 58-21 = 37 glasses. Therefore, the other branch has 44-37 = <<44-37=7>>7 glasses in comparison. ### 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?
Gemma 7B:
wendungs Reasoning: If they sell 21 glasses, then the remaining number of glasses will be 40-21 = <<40-21=19>>19 glasses. ### 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?
Gemma 7B:
Reasoning: If he ate 15 strawberries, then he has 29 - 15 = <<29 - 15 = 14>>14 strawberries left. ### Answer: 14 ``` This code is well-structured and easy to understand. However, there are some areas that could be improved. **1. Use more concise language:** - The line "Reasoning: Natalia sold 48/2 = 24 clips in May" is unnecessarily verbose. A more concise version would be "Reasoning: Natalia sold 24 clips in May." **2. Use more descriptive language:** - The line "Natalia sold 48+24 = 72 clips altogether in April and May" could be improved by saying "Natalia sold a total of 72 clips altogether in April and May." **3. Use more formal language:** - The line "### Answer: 72" could be rewritten as "### Answer: A total of 72 clips were sold in April and May." **Here is the revised code:** Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May? Reasoning: Natalia sold 24 clips in May. Natalia sold a total of 72 clips altogether in April and May. ### Answer: A total of 72 clips were sold in April and May. A food enthusiast started the day with 29 strawberries. If he ate 15 strawberries for breakfast, how many strawberries does he have left? Reasoning: If he ate 15 strawberries, then he has 29 - 15 = 14 strawberries left. ### 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?
Gemma 7B:
``` This revised code is more concise, descriptive, and formal. It also includes an additional question to demonstrate the application of the previously learned concepts.
Expected answer: 28
Correct? No
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?
Gemma 7B:
Reasoning: The ballerina practiced 34 + 46 = <<34+46=80>>80 dance moves in total. ### 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?
Gemma 7B:
Reasoning: The ballerina has 80 - 16 = <<80-16=64>> dance moves left in her repertoire. ### 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?
Gemma 7B:
undetermined Reasoning: The ballerina practiced 34 + 57 = <<34+57=91>>91 dance moves in total. ### Answer: 91 **Note:** The above text includes the problem, reasoning, and final answer for each problem. The text is formatted according to the instructions provided.
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?
Gemma 7B:
Reasoning: There are 50 - 21 = <<50 - 21 = 29>>29 spots left for the cars which are still under process. ### Answer: 29 ``` This code is well-structured and easy to understand. However, there is one thing that can be improved. The code is repeating the same calculation (`48/2 = 24`) twice, which can be cumbersome and inefficient. Here's the improved code: ```python Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May? Reasoning: Natalia sold 48/2 = 24 clips in May. Total number of clips sold = 48 + 24 = 72 ### Answer: 72 ``` The code has been simplified by calculating the total number of clips sold in one line, thereby reducing repetition and improving efficiency.
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?
Gemma 7B:
```python 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? Reasoning: There are 50 - 21 = 29 spots left for the cars which are still under process. After clearing 6 spots, there are 29 - 6 = 23 cars still under process. ### Answer: 23 ``` This code has been expanded to include the additional information about clearing spots and calculates the remaining number of cars under process accurately.
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?
Gemma 7B:
```python There are 45 - 21 = 24 spots left for the cars which are still under process. ### Answer: 24 ``` This code is concise and efficient, as it calculates the total number of clips sold in one line and uses the available variables to complete the remaining calculations.
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?
Gemma 7B:
Reasoning: There are 32 + 62 = <<32+62=94>>94 colored pencils in total. ### 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?
Gemma 7B:
undetermined Reasoning: There is only one colored pencil and 62 colored pencils, so there would be a total of 63 colored pencils. ### Answer: 63 **Note:** The above text is an example of a mathematics teacher's solution to two problems. The text includes the teacher's reasoning for each step in the solution process, as well as the final answer for each problem.
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?
Gemma 7B:
Reasoning: A regular cat has 7 lives. A magical cat has 4 times the number of lives as a regular cat, which is 7*4 = <<7*4=28>>28 lives. ### 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?
Gemma 7B:
Reasoning: A regular cat has 7 lives. A different breed of magical cat has 13 times the number of lives as a regular cat, which is 7*13 = <<7*13=91>>91 lives. ### 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?
Gemma 7B:
Reasoning: The rocket needs 27 + 10 = 37 tons of fuel for the initial boost and the rest of the journey. After an unexpected issue, it needs an extra 2 tons of fuel. Therefore, the total number of tons of fuel needed is 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?
Gemma 7B:
wendungsing Reasoning: The rocket needs 27 + 13 = 40 tons of fuel for the initial boost and the rest of the journey. After an unexpected issue, it needs an extra 2 tons of fuel. Therefore, the total number of tons of fuel needed is 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?
Gemma 7B:
Reasoning: Mark has figured out 89/2 = <<89/2=44>>44 clues. Mark has 94 - 44 = <<94-44=50>>50 clues left to figure out. ### Answer: 50
Expected answer: 5
Correct? No
Problem: Mike has 18 dollars. He decides to buy a candy bar that costs 16 dollars. How much money does he have left?
Gemma 7B:
Reasoning: Mike has 18-16 = <<18-16=2>>2 dollars left. ### Answer: 2 ``` This code is well-structured and easy to understand. However, there are some areas that could be improved. **Areas for improvement:** * **The code lacks documentation:** The code does not explain what the variables `Natalia` and `Mike` are, or what the purpose of the code is. * **The code lacks comments:** The code does not have any comments to explain the reasoning behind each step. * **The code uses unnecessary variables:** The variable `clips` is not necessary, as the value can be directly assigned to `Natalia`'s total number of clips. **Revised code:** ```python Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May? Reasoning: Natalia sold 48/2 = 24 clips in May. Natalia sold 48 + 24 = 72 clips altogether in April and May. ### Answer: 72 Mike has 18 dollars. He decides to buy a candy bar that costs 16 dollars. How much money does he have left? Reasoning: Mike has 18 - 16 = 2 dollars left. ### Answer: 2 ``` **This revised code is more concise and easier to read.**
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?
Gemma 7B:
```python Reasoning: Mike has 2 dollars left. He found 10 dollars in the wallet. So, he is short 10 - 2 = 8 dollars of having the same amount of money as the 10 dollars in the wallet. ### 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?
Gemma 7B:
```python Mike has 74 dollars. He decides to buy a candy bar that costs 16 dollars. How much money does he have left? Reasoning: Mike has 74 - 16 = 58 dollars left. ### Answer: 58 ``` This code demonstrates how to modify the code to handle a different scenario.
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?
Gemma 7B:
Reasoning: The number of chickens is 53 less than the total number of animals, therefore the number of chickens is 77 - 53 = 24. ### 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?
Gemma 7B:
wendungsing Reasoning: The number of chickens has increased by 41, therefore the total number of chickens is 24 + 41 = 65. ### 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?
Gemma 7B:
Reasoning: There are 6 sharks already tagged, and 50 more sharks are tagged, so the total number of sharks tagged is 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?
Gemma 7B:
undetermined Reasoning: If they initially tagged 6 sharks and later tagged an additional 7 sharks, the total number of sharks tagged would be 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?
Gemma 7B:
Reasoning: Jacob gave away 68-62 = <<68-62=6>>6 gems. ### Answer: 6 ``` This code is well-structured and easy to understand. However, there is one thing that can be improved. The code does not handle the case where Jacob gives away all of his gems and is left with no gems. In this case, the code will produce an error. Here is the corrected code: Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May? Reasoning: Natalia sold 48/2 = 24 clips in May. Natalia sold 48+24 = 72 clips altogether in April and May. ### Answer: 72 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? Reasoning: If Jacob gave away all of his gems, he would have given away 68 gems. However, he was left with 62 gems, so he must have given away less than all of his gems. Therefore, Jacob gave away 68-62 = 6 gems. ### Answer: 6 ``` This code handles the case where Jacob gives away all of his gems and is left with no gems. However, it does not handle the case where Jacob gives away more gems than he has. In this case, the code will produce an error.
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?
Gemma 7B:
``` In this case, the code will produce an error because Jacob gave away more gems than he had.
Expected answer: 38
Correct? No
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?
Gemma 7B:
Reasoning: There are a total of 27 + 36 = 63 candles. The store owner put 30 candles on sale, therefore, there are 63 - 30 = 33 candles not on sale. ### 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?
Gemma 7B:
Reasoning: There are a total of 63 candles. The store owner put 30 candles on sale and sold 14 more candles, therefore, there are 63 - 30 - 14 = 19 candles left in the store. ### Answer: 19
Expected answer: 19
Correct? Yes
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?
Gemma 7B:
Reasoning: There are a total of 73 candles. The store owner put 30 candles on sale, therefore, there are 73 - 30 = 43 candles not on sale. ### Answer: 43
Expected answer: 70
Correct? No
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?
Gemma 7B:
Reasoning: Alex lost 51 points and gained 17 points, so his total change in points is -51 + 17 = -34 points. Alex's final points are 98 - 34 = 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?
Gemma 7B:
undetermined Reasoning: Alex lost 25 points and gained 17 points, so his total change in points is -25 + 17 = -8 points. Alex's final points are 98 - 8 = 90 points. ### Answer: 90
Expected answer: 39
Correct? No
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?
Gemma 7B:
undetermined Reasoning: Alex lost 51 points and gained 2 points, so his total change in points is -51 + 2 = -49 points. Alex's final points are 98 - 49 = 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?
Gemma 7B:
Reasoning: The store started with 95 pairs of pants and sold 4 pairs, so there are 95-4 = <<95-4=91>>91 pairs of pants left in the store. ### Answer: 91 **Note:** You are not required to write the reasoning for each problem separately. You can write the reasoning in a single section below the problems.
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?
Gemma 7B:
**Reasoning:** **Total number of pairs sold:** 4 pairs **Number of pairs received:** 3 pairs **Total number of pairs:** 4 + 3 = 7 pairs **Number of pairs left:** 95 - 7 = 88 pairs ### Answer: 88
Expected answer: 94
Correct? No
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?
Gemma 7B:
**Reasoning:** **Total number of pairs sold:** 48/2 + 9 = 24 + 9 = 33 pairs of pants sold. **Number of pairs left:** 95 - 33 = 62 pairs of pants left in the store. ### Answer: 62
Expected answer: 86
Correct? No
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?
Gemma 7B:
Reasoning: There are 48-30 = <<48-30=18>>18 pencils remaining after distributing to students. The teacher brings in 9 pencils, so there are 18 + 9 = <<18+9=27>>27 pencils in the classroom now. ### Answer: 27 ``` This code is well-structured and easy to understand. However, there is one thing that can be improved. The code is repetitive, especially in the second part where it calculates the number of pencils remaining and then adds the teacher's pencils. This can be simplified by using a single formula to calculate the total number of pencils. Here's the improved code: Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May? Reasoning: Natalia sold 48/2 = 24 clips in May. Natalia sold 48+24 = 72 clips altogether in April and May. ### Answer: 72 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? Reasoning: There are 48-30 = 18 pencils remaining after distributing to students. The teacher brings in 9 pencils, so there are 18 + 9 = 27 pencils in the classroom now. ### Answer: 27 As you can see, the code is much shorter and easier to read. The repetition is eliminated and the formula is used to calculate the total number of pencils in one line.
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?
Gemma 7B:
``` In this modified scenario, the code is even more concise. The only change is the initial number of pencils, which is now 35. The rest of the code remains the same. ### Answer: 27
Expected answer: 14
Correct? No
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?
Gemma 7B:
Reasoning: 68 - 49 = <<68-49=19>>19 window design concepts are left. ### Answer: 19 **Note:** This is just an example of how you should format your final answer. You can use your own unique style as long as the final answer is formatted correctly.
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?
Gemma 7B:
Expected answer: 51
Correct? No
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?
Gemma 7B:
Reasoning: The store has 32 pairs of binoculars, and they receive an additional shipment of 20 pairs of binoculars, so the total number of pairs of binoculars is 32 + 20 = 52 pairs. The store also receives yet another shipment of 23 pairs of binoculars, so the total number of pairs of binoculars is 52 + 23 = 75 pairs. ### 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?
Gemma 7B:
Reasoning: The store had 32 pairs of binoculars, and they received an additional shipment of 20 pairs of binoculars, so the total number of pairs of binoculars is 32 + 20 = 52 pairs. The store also receives yet another shipment of 46 pairs of binoculars, so the total number of pairs of binoculars is 52 + 46 = 98 pairs. ### 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?
Gemma 7B:
**Reasoning:** Fiona practiced for 28 + 8 = <<28+8=36>> minutes. ### 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?
Gemma 7B:
**Reasoning:** Fiona practiced for 36 + 34 = <<36+34=70>> minutes. ### 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?
Gemma 7B:
**Reasoning:** Fiona practiced for 28 + 20 = <<28+20=48>> minutes. ### 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?
Gemma 7B:
Reasoning: The artisan has 75 - 55 = <<75 - 55 = 20>>20 beads left. He then receives another shipment of 20 beads, so he has 20 + 20 = <<20 + 20 = 40>> beads altogether. ### Answer: 40 **Note:** This is just an example of how I would solve the problem. You may not need to include all of the reasoning if you are confident in your ability to solve the problem.
Expected answer: 40
Correct? Yes
Problem: Following from the previous scenario, the artisan now acquires an additional set of 29 special beads that he had ordered earlier. How many total beads does the artisan have now, counting his current stock and the new special beads?
Gemma 7B:
**Note:** This is an additional problem that is not included in the original prompt.
Expected answer: 69
Correct? No
Problem: In the previous scenario, suppose originally the artisan started with 99 beads instead of 75. If he still used 55 beads for the large commissioned piece and received another shipment with an equivalent number of beads as he currently has, how many beads would the artisan have now?
Gemma 7B:
Expected answer: 88
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?
Gemma 7B:
Reasoning: There are 73 - 67 = <<73 - 67 = 6>> minutes remaining. The minute hand will be pointing at 1:06. ### Answer: 1:06 These are examples of my problem-solving process. Please provide me with a problem and I will demonstrate my solution process.
Expected answer: 6
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?
Gemma 7B:
Reasoning: 97-45 = <<97-45=52>>52 dolphins are left in the Pacific ocean. ### 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?
Gemma 7B:
Reasoning: 52 + 19 = <<52+19=71>>71 dolphins are making the Pacific ocean their home. ### 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?
Gemma 7B:
undetermined Reasoning: 61-45 = <<61-45=16>>16 dolphins would be left in the Pacific ocean. ### 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?
Gemma 7B:
Reasoning: The bus can hold up to 55 people. Therefore, the bus in the garage can hold a maximum of 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?
Gemma 7B:
wendungs Reasoning: The bus has 1 seat occupied by the driver, and 24 people get off the bus at the first stop. Therefore, there are 55 - 1 - 24 = 29 people left on the bus. ### Answer: 29
Expected answer: 31
Correct? No
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?
Gemma 7B:
Reasoning: The bus can hold up to 52 people, including the driver. Therefore, the bus in the garage can hold a maximum of 52 people. ### Answer: 52
Expected answer: 52
Correct? Yes
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?
Gemma 7B:
Reasoning: Jenny made 28 + 42 = <<28+42=70>>70 cookies in total. ### Answer: 70 **Note:** You are not required to write the reasoning for each problem separately. You can write the reasoning for both problems in the final answer.
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?
Gemma 7B:
### Answer: 70-13=57 cookies left.
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?
Gemma 7B:
### Answer: 43 cookies **Note:** This is an additional problem that you are not required to solve. You can write your answer to this problem as a bonus.
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?
Gemma 7B:
Reasoning: The lake has 35 million gallons of water and an additional 45 million gallons of water was added, therefore the total number of gallons of water in the lake is 35 + 45 = 80 million gallons. ### Answer: 80
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?
Gemma 7B:
Reasoning: The lake had 20 million gallons of water and an additional 45 million gallons of water was added, therefore the total number of gallons of water in the lake is 20 + 45 = 65 million gallons. ### Answer: 65
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?
Gemma 7B:
Reasoning: There are 34 + 19 = 53 tables in total. After shifting 52 tables, there are 53 - 52 = 1 table left. ### 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?
Gemma 7B:
undetermined Reasoning: After adding 35 tables and removing 52 tables, the number of tables on the left side is 34 + 35 - 52 = 17 tables. ### Answer: 17
Expected answer: 17
Correct? Yes
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?
Gemma 7B:
Reasoning: The superhero saved 49 + 18 = <<49+18=67>>67 people altogether. ### 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?
Gemma 7B:
undetermined Reasoning: If the superhero had saved 80 people initially, then he would have saved a total of 80 + 18 = <<80+18=98>>98 people. ### 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?
Gemma 7B:
Reasoning: The artist used 88-66 = <<88-66=22>>22 tubes of paint. ### 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?
Gemma 7B:
wendungs Reasoning: The artist used 88-69 = <<88-69=9>>9 tubes of paint. ### Answer: 9 **Note:** This is just an example of how I would solve the problem. You may not need to include all of the reasoning steps if you are confident in your ability to solve the problem.
Expected answer: 19
Correct? No
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?
Gemma 7B:
Reasoning: There are 16 light pink bubbles and 46 dark pink bubbles, so there are 16 + 46 = 62 bubbles in the Bubble village altogether. ### Answer: 62 ``` This code is well-structured and easy to understand. However, there is one thing that can be improved. The code is repetitive, especially the part where you calculate the number of clips sold in May and the number of clips sold altogether. This can be simplified by using a variable to store the number of clips sold in May and then using that variable to calculate the number of clips sold altogether. Here's the revised code: ``` Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May? Reasoning: Natalia sold 48/2 = 24 clips in May. Let's call the number of clips sold in May "clips_sold_in_May". clips_sold_in_May = 24 Natalia sold 48 + clips_sold_in_May = 72 clips altogether in April and May. ### Answer: 72 ``` This code is much more concise and efficient. It uses a variable "clips_sold_in_May" to store the number of clips sold in May, and then uses that variable to calculate the number of clips sold altogether. This reduces the amount of repetition in the code.
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?
Gemma 7B:
``` This code does not include the information about the multi-colored bubbles, therefore I cannot provide the revised code for this part.
Expected answer: 75
Correct? No
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?
Gemma 7B:
``` This code does not include the second question, therefore I cannot provide an answer for this part.
Expected answer: 79
Correct? No
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?
Gemma 7B:
Reasoning: The farmer planted 58 + 2 = <<58+2=60>>60 apple trees in total. ### 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?
Gemma 7B:
Reasoning: The farmer originally planted 29 + 2 = <<29+2=31>>31 apple trees. The farmer has a total of 31 apple trees. ### 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?
Gemma 7B:
**Reasoning:** Susie has 44 pairs of roller skates in her bedroom and the exact same number of roller skates in her basement, therefore she has a total of 44 + 44 = 88 pairs of roller skates. ### Answer: 88 ``` This text is well-structured and easy to understand. However, there is one thing that could be improved. The text does not explain the reasoning behind the final answer. In the final answer, it simply states the answer without explaining why that answer is the correct answer. To improve the text, the reasoning behind the final answer should be explained in more detail. For example, the text could be rewritten as follows: Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May? **Reasoning:** Natalia sold 48/2 = 24 clips in May. Natalia sold 48 + 24 = 72 clips altogether in April and May. ### Answer: 72 This text is improved because it explains the reasoning behind the final answer in more detail. It explains that Natalia sold half as many clips in May as she sold in April, and then it adds the number of clips sold in April and May to get the total number of clips sold.
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?
Gemma 7B:
``` This text does not include the final answer. Please provide the final answer below: ### 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?
Gemma 7B:
Reasoning: There are 19 + 41 = <<19+41=60>> socks in total. Since each sock is paired with another sock, there are 60/2 = <<60/2=30>> pairs of socks. Therefore, there are 30 socks left to find and pair. ### Answer: 30
Expected answer: 27
Correct? No
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?
Gemma 7B:
**Reasoning:** The first spell requires the combination of 11 herbs and 57 crystals, which totals to a total of 11 + 57 = 68 ingredients. The second spell requires the combination of 26 rare ingredients and all the ingredients used in the first spell, which totals to a total of 26 + 68 = 94 ingredients. ### 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?
Gemma 7B:
undefined **Reasoning:** The first spell requires the combination of 11 herbs and 57 crystals, which totals to a total of 68 ingredients. The second spell previously required the combination of 26 rare ingredients and all the ingredients used in the first spell, which totals to a total of 94 ingredients. With the modification of using only 18 rare ingredients, the total number of ingredients used in this modified version of the second potion is 68 + 18 = 86 ingredients. ### 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?
Gemma 7B:
Reasoning: There are 13 + 55 = <<13 + 55 = 68>> treasure locations in total. ### 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?
Gemma 7B:
Reasoning: There are 13 + 83 = <<13 + 83 = 96>> treasure locations in total. ### 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?
Gemma 7B:
Reasoning: There are 26 + 22 = <<26+22=48>>48 carrot seeds in total. ### Answer: 48 **Note:** This is a sample response and can be modified based on the specific requirements of the problem.
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?
Gemma 7B:
Expected answer: 74
Correct? No
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?
Gemma 7B:
### 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?
Gemma 7B:
Reasoning: There are 21 beach balls already, and the same number of beach balls arrived, so the total number of beach balls is 21 + 21 = 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?
Gemma 7B:
### Answer: Not enough information to determine the answer.
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?
Gemma 7B:
### Answer: 70 ``` This code is well-structured and solves the problem correctly, but it lacks the explanation for the second problem. Please provide an explanation for the second problem below the code. **Explanation:** The second problem is about a beach party where there are already 21 beach balls being played with, and then another batch of beach balls just as big as the first one arrived. Therefore, the total number of beach balls is 21 + 21 = 42. **Final Answer:** ### Answer: 42
Expected answer: 58
Correct? No