Qwen2-Math 72B on 3.OA.D.8
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?
Qwen2-Math 72B:
Reasoning: The chocolate factory initially had 33 chocolate bars. After giving away 6 chocolate bars as samples, the factory had 33-6 = <<33-6=27>>27 chocolate bars left. After using 3 chocolate bars for quality control testing, the factory had 27-3 = <<27-3=24>>24 chocolate bars left. ### 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?
Qwen2-Math 72B:
Reasoning: The chocolate factory had 24 chocolate bars left after the initial inventory. To match the number of remaining chocolate bars, the factory produced 24 new chocolate bars. Therefore, the total number of chocolate bars at the factory now is 24+24 = <<24+24=48>>48. ### 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?
Qwen2-Math 72B:
Reasoning: The chocolate factory initially had 17 chocolate bars. After giving away 6 chocolate bars as samples, the factory had 17-6 = <<17-6=11>>11 chocolate bars left. After using 3 chocolate bars for quality control testing, the factory had 11-3 = <<11-3=8>>8 chocolate bars left. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: Deckmaster Tim has been given 84 unique trading cards. After a generous friend gave him a package of 7 new cards, he added them to his collection. How many unique trading cards does Deckmaster Tim have now?
Qwen2-Math 72B:
Reasoning: Deckmaster Tim has 84+7 = <<84+7=91>>91 unique trading cards now. ### Answer: 91
Expected answer: 91
Correct? Yes
Problem: Deckmaster Tim initially had 11 unique trading cards, instead of 84. If he were to add the same package of 7 new cards to his collection, how many unique trading cards would Deckmaster Tim have now?
Qwen2-Math 72B:
Reasoning: Deckmaster Tim has 11+7 = <<11+7=18>>18 unique trading cards now. ### Answer: 18
Expected answer: 18
Correct? Yes
Problem: John has 5 dollars in his wallet. Later, he found an old birthday card with 86 dollars inside. After adding this to his wallet, how much money does John now have in his wallet?
Qwen2-Math 72B:
Reasoning: John now has 5+86 = <<5+86=91>>91 dollars in his wallet. ### Answer: 91
Expected answer: 91
Correct? Yes
Problem: After counting his money, John decides to buy a video game that costs 78 dollars. After paying for it, how much money does John have left in his wallet?
Qwen2-Math 72B:
Reasoning: John has 91-78 = <<91-78=13>>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?
Qwen2-Math 72B:
Reasoning: John now has 2+86 = <<2+86=88>>88 dollars in his wallet. ### Answer: 88
Expected answer: 7
Correct? No
Problem: At a campfire night, 26 marshmallows were roasted initially. Later in the night, an additional 12 marshmallows were roasted. The next day morning, 7 fresh marshmallows were roasted for breakfast. How many marshmallows were roasted in total?
Qwen2-Math 72B:
Reasoning: The total number of marshmallows roasted at night is 26 + 12 = <<26+12=38>>38. The total number of marshmallows roasted altogether is 38 + 7 = <<38+7=45>>45. ### Answer: 45
Expected answer: 45
Correct? Yes
Problem: The sun is 56 million miles away from a planet. On this planet, every mile corresponds to one unit of brightness for their daylight. What is the total brightness of their daylight, measured in these units?
Qwen2-Math 72B:
Reasoning: The total brightness of their daylight is 56 million units. ### Answer: 56 million
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?
Qwen2-Math 72B:
Reasoning: The total number of monkeys in the jungle now is 42+29 = <<42+29=71>>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?
Qwen2-Math 72B:
Reasoning: The total number of monkeys in the jungle now is 26+29 = <<26+29=55>>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?
Qwen2-Math 72B:
Reasoning: The pirate found 16 emeralds in the first chest. She found 16 emeralds in the second chest. In total, the pirate has 16 + 16 = <<16+16=32>>32 emeralds. ### 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?
Qwen2-Math 72B:
Reasoning: The pirate found 45 emeralds in the first chest. She found 45 emeralds in the second chest. In total, the pirate has 45 + 45 = <<45+45=90>>90 emeralds. ### Answer: 90
Expected answer: 90
Correct? Yes
Problem: There was a building with 28 windows on the ground floor. The owner decided to add 4 more windows to make it more presentable. Later, he went ahead to the next floor where there were already 51 windows. What is the total number of windows in the building now?
Qwen2-Math 72B:
Reasoning: The total number of windows on the ground floor is 28+4 = <<28+4=32>>32 windows. The total number of windows in the building now is 32+51 = <<32+51=83>>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?
Qwen2-Math 72B:
Reasoning: The total number of windows in the building is 83. The number of windows left unbroken in the building is 83-64 = <<83-64=19>>19 windows. ### Answer: 19
Expected answer: 19
Correct? Yes
Problem: Let's say the owner originally had 28 windows on the ground floor and decided to add just 4 more for better aesthetics. However, instead of 51 windows as in the previous scenario, suppose he only had 25 windows on the next floor. Now, how many windows are there in total in the building?
Qwen2-Math 72B:
Reasoning: The total number of windows on the ground floor is 28+4 = <<28+4=32>>32 windows. The total number of windows in the building now is 32+25 = <<32+25=57>>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?
Qwen2-Math 72B:
Reasoning: After the insects ate some cucumbers, there were 93-13 = <<93-13=80>>80 cucumbers left. After the gardener removed cucumbers for dinner, there were 80-9 = <<80-9=71>>71 cucumbers left in the garden. ### Answer: 71
Expected answer: 71
Correct? Yes
Problem: In the large vegetable garden, after the gardener removed the cucumbers for dinner, a group of children came and picked 50 cucumbers for a school project. How many cucumbers are left in the garden after the children took their cucumbers?
Qwen2-Math 72B:
Reasoning: After the children picked cucumbers for their school project, there were 71-50 = <<71-50=21>>21 cucumbers left in the garden. ### Answer: 21
Expected answer: 21
Correct? Yes
Problem: In the large vegetable garden, suppose that originally there were 93 cucumbers. But this time, insects ate 52 cucumbers instead of 13. After that, the gardener removed an additional 9 cucumbers to prepare for dinner. How many cucumbers are left in the garden after the gardener removed the cucumbers for dinner?
Qwen2-Math 72B:
Reasoning: After the insects ate some cucumbers, there were 93-52 = <<93-52=41>>41 cucumbers left. After the gardener removed cucumbers for dinner, there were 41-9 = <<41-9=32>>32 cucumbers left in the garden. ### Answer: 32
Expected answer: 32
Correct? Yes
Problem: On a sunny day at the beach, there were 80 beach balls initially. However, during a gusty period, 55 balls were taken by the wind and ended up in the ocean. How many beach balls are left on the beach?
Qwen2-Math 72B:
Reasoning: Initially, there were 80 beach balls. 55 balls were taken by the wind. So, the number of beach balls left on the beach is 80 - 55 = <<80-55=25>>25. ### Answer: 25
Expected answer: 25
Correct? Yes
Problem: Following the gusty period at the beach that took away 55 beach balls, leaving some behind, 71 new colourful beach balls were delivered to the beach. How many beach balls are there now at the beach?
Qwen2-Math 72B:
Reasoning: Initially, there were 25 beach balls left after the wind took 55 away. 71 new beach balls were delivered. So, the total number of beach balls at the beach now is 25 + 71 = <<25+71=96>>96. ### Answer: 96
Expected answer: 96
Correct? Yes
Problem: Let's imagine, instead of 55 beach balls being taken by the wind, only 21 beach balls ended up in the ocean. In that case, how many beach balls would be left on the beach?
Qwen2-Math 72B:
Reasoning: Initially, there were 80 beach balls. 21 balls were taken by the wind. So, the number of beach balls left on the beach is 80 - 21 = <<80-21=59>>59. ### 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?
Qwen2-Math 72B:
Reasoning: The chef needs to prepare 30+1 = <<30+1=31>>31 meals. The chef needs 31*1 = <<31*1=31>>31 tablespoons of salt. ### Answer: 31
Expected answer: 31
Correct? Yes
Problem: After preparing a total of 31 meals, the chef realizes he has a large container filled with 60 tablespoons of salt. Given the amount of salt he has already used, how many tablespoons does he have left in the container after making the meals?
Qwen2-Math 72B:
Reasoning: The chef used 31 tablespoons of salt to prepare the meals. The chef has 60-31 = <<60-31=29>>29 tablespoons of salt left in the container. ### Answer: 29
Expected answer: 29
Correct? Yes
Problem: Sarah had 40 pens at the beginning of the month. Over the course of the month, she gave away 27 pens to her friends. Later, in a pen collection competition, Sarah noticed that the winner had 51 pens. How many more pens does she need to have in order to match the winner's collection?
Qwen2-Math 72B:
Reasoning: Sarah has 40-27 = <<40-27=13>>13 pens left. Sarah needs 51-13 = <<51-13=38>>38 more pens 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?
Qwen2-Math 72B:
Reasoning: Sarah has 77-27 = <<77-27=50>>50 pens left. Sarah needs 51-50 = <<51-50=1>>1 more pen 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?
Qwen2-Math 72B:
Reasoning: The total number of towels produced in the morning and afternoon is 12 + 35 = <<12+35=47>>47 towels. The total number of towels in the factory is 47 + 8 = <<47+8=55>>55 towels. ### Answer: 55
Expected answer: 55
Correct? Yes
Problem: In the towel factory, an updated report shows that instead of 35 towels, 73 new towels were actually produced in the afternoon, while the number of towels produced in the morning remains the same (12 towels). Keeping in mind that 8 towels were already produced, how many towels are there in total in the factory now?
Qwen2-Math 72B:
Reasoning: The total number of towels produced in the morning and afternoon is 12 + 73 = <<12+73=85>>85 towels. The total number of towels in the factory is 85 + 8 = <<85+8=93>>93 towels. ### Answer: 93
Expected answer: 93
Correct? Yes
Problem: A helicopter depot has 75 fuel tanks in storage. After a large fleet of helicopters refuel, there are only 44 tanks left. How many fuel tanks were used?
Qwen2-Math 72B:
Reasoning: The number of fuel tanks used is 75-44 = <<75-44=31>>31. ### Answer: 31
Expected answer: 31
Correct? Yes
Problem: In the same helicopter depot scenario, suppose we start with the same amount of 75 fuel tanks in storage. But this time, after a different group of helicopters refuel, there are 22 tanks left instead of 44. Now, how many fuel tanks were used?
Qwen2-Math 72B:
Reasoning: The number of fuel tanks used is 75-22 = <<75-22=53>>53. ### Answer: 53
Expected answer: 53
Correct? Yes
Problem: In the magical land of Unica, 33 unicorns have been spotted in the morning and the same number of unicorns are seen again in the afternoon. A pair of rare twin unicorns has joined the unicorns. How many unicorns are in Unica in total?
Qwen2-Math 72B:
Reasoning: There are 33+33 = <<33+33=66>>66 unicorns in the morning and afternoon. There are 66+2 = <<66+2=68>>68 unicorns in Unica in total. ### 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?
Qwen2-Math 72B:
Reasoning: There are 58+33 = <<58+33=91>>91 unicorns in the morning and afternoon. There are 91+2 = <<91+2=93>>93 unicorns in Unica in total. ### 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?
Qwen2-Math 72B:
Reasoning: Galaxy Man has 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?
Qwen2-Math 72B:
Reasoning: Galaxy Man would have completed 28-18 = <<28-18=10>>10 missions alone. ### Answer: 10
Expected answer: 10
Correct? Yes
Problem: You have a total of 92 pairs of earrings in your collection. After hosting a flea market, you sold 45 pairs. How many pairs of earrings do you have left in your collection?
Qwen2-Math 72B:
Reasoning: You have 92-45 = <<92-45=47>>47 pairs of earrings left in your collection. ### Answer: 47
Expected answer: 47
Correct? Yes
Problem: Imagine instead of 92 pairs of earrings, you originally had 48 pairs in your collection. After selling 45 pairs in the flea market, how many pairs of earrings do you have left now in your collection?
Qwen2-Math 72B:
Reasoning: You have 48-45 = <<48-45=3>>3 pairs of earrings left in your collection. ### 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?
Qwen2-Math 72B:
Reasoning: The player needs 73 XP points to level up, plus the initial amount they just earned, which is 12 XP points. The player needs 73+12 = <<73+12=85>>85 XP points to level up. ### Answer: 85
Expected answer: 85
Correct? Yes
Problem: The player, unfortunately, encounters a penalty and loses 33 XP points from the required total. How many XP points does the player need to level up now?
Qwen2-Math 72B:
Reasoning: The player needs 85 XP points to level up, but loses 33 XP points from the required total. The player needs 85-33 = <<85-33=52>>52 XP points to level up now. ### Answer: 52
Expected answer: 52
Correct? Yes
Problem: Suppose the player initially earned 24 XP instead of the previous 12 XP. Following the same game rules, how many XP points would the player need to level up now?
Qwen2-Math 72B:
Reasoning: The player needs 73 XP points to level up, plus the initial amount they just earned, which is now 24 XP points. The player needs 73+24 = <<73+24=97>>97 XP points to level up. ### Answer: 97
Expected answer: 97
Correct? Yes
Problem: In a fantastical kingdom, there are 10 dragons. One day, 89 dragons from distant lands come to the kingdom for a grand gathering. How many dragons were in the kingdom after the gathering?
Qwen2-Math 72B:
Reasoning: The total number of dragons in the kingdom after the gathering is 10+89 = <<10+89=99>>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?
Qwen2-Math 72B:
Reasoning: The total number of dragons in the kingdom for the gathering is 10+10 = <<10+10=20>>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?
Qwen2-Math 72B:
Reasoning: On the first day, Emily watched 34 episodes. On the second day, she watched 61 episodes. In total, Emily watched 34+61 = <<34+61=95>>95 episodes. ### Answer: 95
Expected answer: 95
Correct? Yes
Problem: Emily realized that she had made an error. Actually, on the first day, she had watched 23 episodes and not 34. With the 61 more episodes she watched the next day, how many episodes did Emily watch in total now?
Qwen2-Math 72B:
Reasoning: On the first day, Emily watched 23 episodes. On the second day, she watched 61 episodes. In total, Emily watched 23+61 = <<23+61=84>>84 episodes. ### 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?
Qwen2-Math 72B:
Reasoning: The number of dragons remaining in the original realm is 58 - 13 = <<58-13=45>>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?
Qwen2-Math 72B:
Reasoning: The number of dragons remaining in the original realm is 58 - 1 = <<58-1=57>>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?
Qwen2-Math 72B:
Reasoning: The remaining amount of water in the reservoir is 87 - 73 = <<87-73=14>>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?
Qwen2-Math 72B:
Reasoning: The remaining amount of water in the reservoir is 87 - 22 = <<87-22=65>>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?
Qwen2-Math 72B:
Reasoning: The laboratory originally had 40 components. After using 29 components, the laboratory had 40-29 = <<40-29=11>>11 components left. After receiving a new delivery with 47 components, the laboratory had 11+47 = <<11+47=58>>58 components in total. ### 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?
Qwen2-Math 72B:
Reasoning: The laboratory originally had 58 components. After receiving an additional shipment with 14 components, the laboratory had 58+14 = <<58+14=72>>72 components in total. ### Answer: 72
Expected answer: 72
Correct? Yes
Problem: In the original scenario at the rocket science laboratory, let's revise the number of components used up in the experiment. Instead of using 29 components, they only used 11 components from the original 40. The laboratory still received the new delivery with an extra 47 components afterwards. What is the total number of components in the laboratory now?
Qwen2-Math 72B:
Reasoning: The laboratory originally had 40 components. After using 11 components, the laboratory had 40-11 = <<40-11=29>>29 components left. After receiving a new delivery with 47 components, the laboratory had 29+47 = <<29+47=76>>76 components in total. ### 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?
Qwen2-Math 72B:
Reasoning: Maria picked 68-64 = <<68-64=4>>4 more tomatoes than Karen. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: Maria's brother decided to grow tomatoes too. This month he picked 81 tomatoes from his plants. Karen didn't pick any additional tomatoes since we last checked, and still has 64 tomatoes. How many more tomatoes did Maria's brother pick than Karen?
Qwen2-Math 72B:
Reasoning: Maria's brother picked 81-64 = <<81-64=17>>17 more tomatoes than Karen. ### Answer: 17
Expected answer: 17
Correct? Yes
Problem: In a forest, there are 7 adults wolves and 77 cubs. The wolf population, denoted with w, is equal to 7 (adults wolves) + 77 (cubs). One winter, 40 wolves migrated to another forest, decreasing the population. How many wolves are left in the forest now?
Qwen2-Math 72B:
Reasoning: The wolf population is 7+77 = <<7+77=84>>84. After 40 wolves migrated, the population is 84-40 = <<84-40=44>>44. ### Answer: 44
Expected answer: 44
Correct? Yes
Problem: In a forest, there are 7 adults wolves and 77 cubs. The wolf population, denoted with w, is equal to 7 (adults wolves) + 77 (cubs). One winter, 40 wolves migrated to another forest, decreasing the population. Then later, a pack of 14 wolves moved to a mountainside. How many wolves are left in the forest now?
Qwen2-Math 72B:
Reasoning: The wolf population is 7+77 = <<7+77=84>>84. After 40 wolves migrated, the population is 84-40 = <<84-40=44>>44. After 14 wolves moved, the population is 44+14 = <<44+14=58>>58. ### Answer: 58
Expected answer: 30
Correct? No
Problem: In the same forest, there were initially 7 adult wolves but this time, there were different number of cubs: 68 cubs instead of 77. As before, one winter, 40 wolves migrated to another forest. How many wolves are left in the forest now?
Qwen2-Math 72B:
Reasoning: The wolf population is 7+68 = <<7+68=75>>75. After 40 wolves migrated, the population is 75-40 = <<75-40=35>>35. ### Answer: 35
Expected answer: 35
Correct? Yes
Problem: You have baked 75 cookies for an event. By the time you finish baking, you realize you have enough dough left to make 10 more cookies. How many cookies have you baked in total, including the 10 extras?
Qwen2-Math 72B:
Reasoning: You initially baked 75 cookies. You have enough dough left to make 10 more cookies. Therefore, you have baked 75 + 10 = <<75+10=85>>85 cookies in total, including the 10 extras. ### Answer: 85
Expected answer: 85
Correct? Yes
Problem: In the previous situation, you had made 75 cookies for an event. But what if initially, you had only baked 75 cookies, and then decided to bake an additional 4 cookies with the leftover dough. How many cookies would you have in total then?
Qwen2-Math 72B:
Reasoning: You initially baked 75 cookies. You decided to bake an additional 4 cookies with the leftover dough. Therefore, you would have baked 75 + 4 = <<75+4=79>>79 cookies in total. ### Answer: 79
Expected answer: 79
Correct? Yes
Problem: A carpenter needs to make some tables. He initially has 78 boards of wood but uses 73 to prepare for the construction. He later realizes he has 99 potential orders but the current boards of wood he has are not enough to meet this demand. How many additional boards does he need to perfectly meet all the orders?
Qwen2-Math 72B:
Reasoning: The carpenter initially has 78 boards of wood but uses 73 to prepare for the construction. So, he has 78-73 = <<78-73=5>>5 boards left. He has 99 potential orders but the current boards of wood he has are not enough to meet this demand. So, he needs 99-5 = <<99-5=94>>94 additional boards to perfectly meet all the orders. ### Answer: 94
Expected answer: 94
Correct? Yes
Problem: Following the previous problem, the carpenter decides to create smaller tables that only require one board of wood each. However, he realizes he can only afford to make 14 tables due to other limitations. With the current boards of wood he has, how many less tables will he be able to produce compared to his original ambition of making 14 tables?
Qwen2-Math 72B:
Reasoning: The carpenter initially has 78 boards of wood but uses 73 to prepare for the construction. So, he has 78-73 = <<78-73=5>>5 boards left. He can only afford to make 14 tables due to other limitations. With the current boards of wood he has, he can only make 5 tables. So, he will be able to produce 14-5 = <<14-5=9>>9 less tables compared to his original ambition of making 14 tables. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: One evening, a young astronomer counted 1 star in a small area of the sky. Then, he noticed that 5 more stars gradually became visible as his eyes adjusted to the darkness. After an hour, a meteor shower began and he spotted 28 more stars. How many stars did the astronomer see in total during that evening?
Qwen2-Math 72B:
Reasoning: The astronomer initially saw 1 star. Then, he saw 5 more stars, making a total of 1+5 = <<1+5=6>>6 stars. After the meteor shower, he saw 28 more stars, making a total of 6+28 = <<6+28=34>>34 stars. ### Answer: 34
Expected answer: 34
Correct? Yes
Problem: The young astronomer then noticed that a cloud drifted across the sky, temporarily covering 27 of the stars he had been observing. After the cloud passed, how many stars were left visible to him?
Qwen2-Math 72B:
Reasoning: The astronomer had been observing 34 stars. A cloud covered 27 of those stars, leaving 34-27 = <<34-27=7>>7 stars visible. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: It was David's birthday and he had 40 gifts in his room. Later in the day, his friends surprised him with 26 more gifts. How many gifts does David have in total?
Qwen2-Math 72B:
Reasoning: David has 40+26 = <<40+26=66>>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?
Qwen2-Math 72B:
Reasoning: David had 66 gifts in total. He kept 44 gifts. Therefore, he donated 66-44 = <<66-44=22>>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?
Qwen2-Math 72B:
Reasoning: Mark has 69+26 = <<69+26=95>>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?
Qwen2-Math 72B:
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?
Qwen2-Math 72B:
Reasoning: The author added 1 page to the 90 pages she had written, making the total number of pages 90+1 = <<90+1=91>>91 pages. ### 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?
Qwen2-Math 72B:
Reasoning: The author wrote 79+16 = <<79+16=95>>95 pages in total. ### Answer: 95
Expected answer: 95
Correct? Yes
Problem: In a large hotel, there are 60 rooms. The hotel decides to expand and add an additional 22 rooms. How many rooms does the hotel have after the expansion?
Qwen2-Math 72B:
Reasoning: The hotel initially has 60 rooms. After the expansion, the hotel has 60+22 = <<60+22=82>>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?
Qwen2-Math 72B:
Reasoning: The hotel initially has 60 rooms. After the first expansion, the hotel has 60+11 = <<60+11=71>>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?
Qwen2-Math 72B:
Reasoning: Initially, 70-27 = <<70-27=43>>43 children left the park. After 31 more kids left, 27-31 = <<27-31=-4>>-4 children are left in the park. ### Answer: -4
Expected answer: 12
Correct? No
Problem: In a beehive, there is a total of 48 bees. One day, 29 drones left the beehive for collecting pollen. How many bees are left in the beehive?
Qwen2-Math 72B:
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?
Qwen2-Math 72B:
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?
Qwen2-Math 72B:
Reasoning: The school started with 35 erasers. 22 erasers got used up. 35 - 22 = <<35-22=13>>13 erasers are left at the school. ### Answer: 13
Expected answer: 13
Correct? Yes
Problem: A school initially had 35 erasers. But after a few classes and some craft projects, 22 erasers got used up. How many erasers are left at the school? Then, a generous donor contributed an additional 39 erasers to the school. What is the total number of erasers at the school now?
Qwen2-Math 72B:
Reasoning: The school started with 35 erasers. 22 erasers got used up. 35 - 22 = <<35-22=13>>13 erasers are left at the school. Then, a generous donor contributed an additional 39 erasers to the school. 13 + 39 = <<13+39=52>>52 erasers are now at the school. ### Answer: 52
Expected answer: 52
Correct? Yes
Problem: In the earlier scenario, the school initially had 35 erasers. But what if the school had originally started with 58 erasers instead? After a few classes and some craft projects, 22 erasers got used up. How many erasers would be left at the school in this case?
Qwen2-Math 72B:
Reasoning: The school started with 58 erasers. 22 erasers got used up. 58 - 22 = <<58-22=36>>36 erasers are left at the school. ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: There were 75 beds in a large hostel. Over time, 55 of them became old and were removed for refurbishment. How many beds are currently available in the hostel now?
Qwen2-Math 72B:
Reasoning: There are 75-55 = <<75-55=20>>20 beds currently available in the hostel now. ### Answer: 20
Expected answer: 20
Correct? Yes
Problem: After the refurbishment, a generous sponsor donated an additional set of beds to the hostel. The number of these new beds plus the remaining beds equals the original number, 75. How many beds were donated by the sponsor?
Qwen2-Math 72B:
Reasoning: The sponsor donated 75-20 = <<75-20=55>>55 beds. ### Answer: 55
Expected answer: 55
Correct? Yes
Problem: On Monday, the speed of the wind was measured to be 71 kilometers per hour. The speed of the wind then decreased by 53 kilometers per hour. What was the speed of the wind after the decrease?
Qwen2-Math 72B:
Reasoning: The speed of the wind after the decrease is 71-53 = <<71-53=18>>18 kilometers per hour. ### 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?
Qwen2-Math 72B:
Reasoning: The speed of the wind after the decrease would be 71-45 = <<71-45=26>>26 kilometers per hour. ### 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?
Qwen2-Math 72B:
Reasoning: Oliver has 18+44 = <<18+44=62>>62 oranges now. ### Answer: 62
Expected answer: 62
Correct? Yes
Problem: Oliver has 18 oranges. He visits the orange grove and collects an additional 44 oranges. Unfortunately, while trying to carry his oranges home, he loses 50 of them along the way. How many oranges does Oliver have left now?
Qwen2-Math 72B:
Reasoning: Oliver has 18+44 = <<18+44=62>>62 oranges after visiting the orange grove. Oliver has 62-50 = <<62-50=12>>12 oranges left after losing some of them. ### 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?
Qwen2-Math 72B:
Reasoning: 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?
Qwen2-Math 72B:
Reasoning: Tommy has 70 toy cars in his collection. Tommy gives away 22 toy cars to his younger brother. Tommy has 70 - 22 = <<70-22=48>>48 toy cars left in his collection. ### 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?
Qwen2-Math 72B:
Reasoning: Tommy has 48 toy cars left after giving 22 to his brother. The new toy car costs 61 toy cars for a trade. Tommy needs 61 - 48 = <<61-48=13>>13 more toy cars to trade for the new one. ### Answer: No, Tommy does not have enough toy cars. He needs 13 more toy cars.
Expected answer: 13
Correct? Yes
Problem: Instead of giving 22 toy cars to his younger brother, Tommy decides to only give away 17 of his toy cars. How many toy cars does Tommy have left in his collection now?
Qwen2-Math 72B:
Reasoning: Tommy has 70 toy cars in his collection. Tommy gives away 17 toy cars to his younger brother. Tommy has 70 - 17 = <<70-17=53>>53 toy cars left in his collection. ### 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?
Qwen2-Math 72B:
Reasoning: The Strawberry farm was initially home to 87-41 = <<87-41=46>>46 Strawberry plants. Jacob added 8 new Strawberry plants more. Now, there are 46+8 = <<46+8=54>>54 Strawberry plants on the farm. ### Answer: 54
Expected answer: 54
Correct? Yes
Problem: Revisiting the first scenario, suppose instead of 41, only 22 Strawberry plants were affected by the disease in the Strawberry farm originally home to 87 plants. Now, consider Jacob still adding 8 new Strawberry plants to the farm. How many Strawberry plants are there on the farm now?
Qwen2-Math 72B:
Reasoning: The Strawberry farm was initially home to 87-22 = <<87-22=65>>65 Strawberry plants. Jacob added 8 new Strawberry plants more. Now, there are 65+8 = <<65+8=73>>73 Strawberry plants on the farm. ### Answer: 73
Expected answer: 73
Correct? Yes
Problem: A scientist discovered a new dinosaur species. He found 34 of them. Soon after, he found another group of the same kind of dinosaurs that also had 34. How many dinosaurs of this new species did the scientist find in total?
Qwen2-Math 72B:
Reasoning: The scientist found 34+34 = <<34+34=68>>68 dinosaurs of this new species in total. ### 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?
Qwen2-Math 72B:
Reasoning: The scientist found 68+6 = <<68+6=74>>74 dinosaurs of this new species in total now. ### 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?
Qwen2-Math 72B:
Reasoning: If the scientist found 37 dinosaurs in each group, then he found 37+37 = <<37+37=74>>74 dinosaurs of this new species in total. ### 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?
Qwen2-Math 72B:
Reasoning: The beach had 82-28 = <<82-28=54>>54 balls remaining, undamaged. ### 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?
Qwen2-Math 72B:
Reasoning: The beach had 82-60 = <<82-60=22>>22 balls remaining, undamaged. ### 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?
Qwen2-Math 72B:
Reasoning: The wizard has 53 artifacts and gives out 12, so he will have 53-12 = <<53-12=41>>41 artifacts left. ### Answer: 41
Expected answer: 41
Correct? Yes
Problem: After giving out 12 artifacts to apprentice wizards, the wizard discovers a hidden chamber in his magical lair, revealing an additional 4 artifacts he had forgotten about. How many artifacts does he have now?
Qwen2-Math 72B:
Reasoning: The wizard had 41 artifacts and found 4 more, so he now has 41+4 = <<41+4=45>>45 artifacts. ### Answer: 45
Expected answer: 45
Correct? Yes
Problem: In the hidden chamber he found, the wizard initially thought there were 15 artifacts. However, they were stacked haphazardly, and upon recounting, he realized he made a mistake and there were actually 12 artifacts, not 15. How many fewer artifacts were there in the hidden chamber than he initially thought?
Qwen2-Math 72B:
Reasoning: The wizard initially thought there were 15 artifacts, but there were actually 12. So, there were 15-12 = <<15-12=3>>3 fewer artifacts than he initially thought. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: Maria has a box that used to contain 68 rings. One day, she lost some of the rings and now there are only 26 rings remaining in the box. How many rings did Maria lose?
Qwen2-Math 72B:
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?
Qwen2-Math 72B:
Reasoning: The spaceship is now 40-18 = <<40-18=22>>22 light years away from the moon. ### 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?
Qwen2-Math 72B:
Reasoning: In this hypothetical scenario, the spaceship is now 27-18 = <<27-18=9>>9 light years away from the moon. ### 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?
Qwen2-Math 72B:
Reasoning: There are 41-21 = <<41-21=20>>20 windows left in the end. ### Answer: 20
Expected answer: 20
Correct? Yes
Problem: The window factory who earlier made 41 windows, out of which 21 were defective, received an urgent order for 86 windows. After using the windows they had left, how many more windows does the factory need to produce to fulfill the order?
Qwen2-Math 72B:
Reasoning: The factory has 20 windows left. The factory needs to produce 86-20 = <<86-20=66>>66 more windows to fulfill the order. ### 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?
Qwen2-Math 72B:
Reasoning: There are 76-21 = <<76-21=55>>55 windows left in the end. ### 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?
Qwen2-Math 72B:
Reasoning: The number of roses missing from the garden is 88-84 = <<88-84=4>>4. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: In the same garden, the gardener later checked his dahlias. Initially there were 88 dahlias but then he found that some daisies were missing as well, leaving only 75 dahlias left in the garden. How many dahlias are missing from the garden?
Qwen2-Math 72B:
Reasoning: The number of dahlias missing from the garden is 88-75 = <<88-75=13>>13. ### Answer: 13
Expected answer: 13
Correct? Yes
Problem: A helicopter piloting school has 19 students to start with. The school enrolls an equal number of new students during the next intake. How many students are there in the school now?
Qwen2-Math 72B:
Reasoning: The school enrolls 19 new students during the next intake. There are 19+19 = <<19+19=38>>38 students in the school now. ### Answer: 38
Expected answer: 38
Correct? Yes
Problem: As a follow-up, the helicopter piloting school had initially wanted to enroll a total of 93 students. However, after enrolling the new batch, they are short of some students. How many more students does the school need to reach its target of 93 students?
Qwen2-Math 72B:
Reasoning: The school needs 93-38 = <<93-38=55>>55 more students to reach its target of 93 students. ### Answer: 55
Expected answer: 55
Correct? Yes
Problem: As a follow-up, let's change the initial number of students at the helicopter piloting school. Instead of 19 students, what if we started with 30 students and enrolled an equal number of new students during the next intake? In this scenario, how many students would there be in the school now?
Qwen2-Math 72B:
Reasoning: The school enrolls 30 new students during the next intake. There are 30+30 = <<30+30=60>>60 students in the school now. ### Answer: 60
Expected answer: 60
Correct? Yes
Problem: In a field, there are 25 bees on the roses and another 25 bees on the daisies. Meanwhile, in a nearby cluster of trees, there are 53 bees in total. After some time, the number of bees in the cluster of trees equals the number of bees in the field subtracted from the original number in the cluster. How many bees are left in the cluster of trees after some time?
Qwen2-Math 72B:
Reasoning: The number of bees in the field is 25+25 = <<25+25=50>>50. The number of bees left in the cluster of trees is 53-50 = <<53-50=3>>3. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: Let's revisit the previous situation where bees were settling in a cluster of trees. Suppose we made a mistake earlier and wrongly counted the bees. In fact, originally, there were 72 bees in the cluster of trees. Now, similar to the previous situation, after some time, the number of bees in the cluster of trees equals the number of bees from the roses and daisies subtracted from this correct number in the cluster. Given this correction, how many bees are now left in the cluster of trees?
Qwen2-Math 72B:
Reasoning: The number of bees in the field is still 25+25 = <<25+25=50>>50. The number of bees left in the cluster of trees is now 72-50 = <<72-50=22>>22. ### Answer: 22
Expected answer: 22
Correct? Yes
Problem: Sam has a total of 58 keys on his piano, but 33 of them are broken and can't be used. He finds a way to fix some keys and adds 14 more functional keys to his piano. How many keys on the piano can Sam play after he adds the new ones?
Qwen2-Math 72B:
Reasoning: Sam can play 58-33 = <<58-33=25>>25 keys on his piano after fixing the broken ones. After adding 14 more functional keys, Sam can play 25+14 = <<25+14=39>>39 keys on his piano. ### Answer: 39
Expected answer: 39
Correct? Yes
Problem: After adding the new keys and playing for a while, Sam decides to expand his music repertoire and needs to play some songs which require a total of 56 keys. How many more keys does he need to fix on his piano in order to play these songs?
Qwen2-Math 72B:
Reasoning: Sam can play 39 keys on his piano after adding the new ones. To play the songs, Sam needs to fix 56-39 = <<56-39=17>>17 more keys on his piano. ### Answer: 17
Expected answer: 17
Correct? Yes
Problem: A manufacturer produces 52 binoculars. Unfortunately, due to a production error, 27 binoculars were defective and had to be removed from the stock. The manufacturer managed to produce the same number of binoculars the next day to make up for the losses. After this production, how many binoculars does the manufacturer have now?
Qwen2-Math 72B:
Reasoning: The manufacturer had 52-27 = <<52-27=25>>25 binoculars left after removing the defective ones. The manufacturer produced 52 binoculars the next day, so now they have 25+52 = <<25+52=77>>77 binoculars. ### Answer: 77
Expected answer: 50
Correct? No
Problem: A truck with a capacity to carry 93 oranges just got a delivery request from a local grocery store. On its way, it dropped 46 oranges due to a small hole in the storage. How many oranges does the truck have now to deliver to the grocery store?
Qwen2-Math 72B:
Reasoning: The truck has 93-46 = <<93-46=47>>47 oranges left to deliver to the grocery store. ### 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?
Qwen2-Math 72B:
Reasoning: The truck has 95-46 = <<95-46=49>>49 oranges left to deliver to the grocery store. ### 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?
Qwen2-Math 72B:
Reasoning: There are 68-1 = <<68-1=67>>67 pairs of sunglasses left on display at the end of the day. ### 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?
Qwen2-Math 72B:
Reasoning: The new store started with 41 pairs of sunglasses. After selling 1 pair, the store has 41-1 = <<41-1=40>>40 pairs of sunglasses left on display at the end of its first day. ### 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?
Qwen2-Math 72B:
Reasoning: The shop owner adds 35 more stuffed animals to the display, so the total number of stuffed animals on display is 46+35 = <<46+35=81>>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?
Qwen2-Math 72B:
Reasoning: The shop owner adds 35 more stuffed animals to the display, so the total number of stuffed animals on display is 23+35 = <<23+35=58>>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?
Qwen2-Math 72B:
Reasoning: There were 48+32 = <<48+32=80>>80 kites at the festival. There were 91-80 = <<91-80=11>>11 kites 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?
Qwen2-Math 72B:
Reasoning: The second booth sold the same number of kites as the number of kites remaining from the initial batch of 91 kites. This means they sold 11 kites (since 91 - 80 = 11). Initially, they had 59 kites. After selling 11 kites, they have 59 - 11 = <<59-11=48>>48 kites left. ### Answer: 48
Expected answer: 48
Correct? Yes
Problem: In a slight change to the previous scenario, suppose that the kite festival actually started with 24 small kites and the same number of large kites, 32, as before. Given that there was still a total of 91 kites initially, how many kites were sold before the festival started now?
Qwen2-Math 72B:
Reasoning: There were 24+32 = <<24+32=56>>56 kites at the festival. There were 91-56 = <<91-56=35>>35 kites 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?
Qwen2-Math 72B:
Reasoning: The pirate's treasure chest was originally 99 paces from the entrance of the cove. After a year, the cove's entrance moved 32 paces closer to the treasure. So, the pirate now needs to walk 99-32 = <<99-32=67>>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?
Qwen2-Math 72B:
Reasoning: The pirate's treasure chest was originally 99 paces from the entrance of the cove. After a year, the cove's entrance moved 26 paces closer to the treasure. So, the pirate now needs to walk 99-26 = <<99-26=73>>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?
Qwen2-Math 72B:
Reasoning: To find the total number of marbles, we need to add the number of red marbles to the number of blue marbles. Total marbles = 37 (red marbles) + 44 (blue marbles) = <<37+44=81>>81 marbles. ### 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?
Qwen2-Math 72B:
Reasoning: To find the total number of marbles, we need to add the number of red marbles to the number of blue marbles. Total marbles = 10 (red marbles) + 44 (blue marbles) = <<10+44=54>>54 marbles. ### 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?
Qwen2-Math 72B:
Reasoning: The jeweler sold 25 rings in the morning. The jeweler's inventory was 92 rings short of their target for the day. The jeweler is short 92-25 = <<92-25=67>>67 rings right now for reaching their target. ### Answer: 67
Expected answer: 27
Correct? No
Problem: There are 77 cows standing in a field in Farmer John's farm. Farmer John's neighbor Nancy brings over 19 more cows to graze. How many cows are there in total?
Qwen2-Math 72B:
Reasoning: There are 77+19 = <<77+19=96>>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?
Qwen2-Math 72B:
Reasoning: There are 39+19 = <<39+19=58>>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?
Qwen2-Math 72B:
Reasoning: To find the total number of giraffes in the reserve, we need to add the number of giraffes in one part of the reserve to the number of giraffes in the other part of the reserve. Total number of giraffes = 54 + 40 = <<54+40=94>>94 giraffes. ### Answer: 94
Expected answer: 94
Correct? Yes
Problem: In the same African reserve, a survey is conducted again after a few years. This time, on one side of the reserve, there are 39 giraffes, while on the other side, the number remains the same at 40. How many giraffes are there in total in the reserve now?
Qwen2-Math 72B:
Reasoning: To find the total number of giraffes in the reserve now, we need to add the number of giraffes on one side of the reserve to the number of giraffes on the other side of the reserve. Total number of giraffes = 39 + 40 = <<39+40=79>>79 giraffes. ### Answer: 79
Expected answer: 79
Correct? Yes
Problem: There were originally 71 bees in a hive, but 23 flew away in search of flowers. Later, another beekeeper noticed that his hive of 85 bees was missing a few. He discovered that the missing bees were the ones that flew away from the first hive. How many bees are left in the second beekeeper's hive?
Qwen2-Math 72B:
Reasoning: The first hive lost 23 bees, so the second hive also lost 23 bees. The second hive originally had 85 bees, so now it has 85-23 = <<85-23=62>>62 bees left. ### Answer: 62
Expected answer: 37
Correct? No
Problem: Suppose you have 28 bottle cap crafting kits, and each kit can make 3 cap designs. However, you accidentally lost 3 bottle cap designs out of all the kits. How many bottle cap designs are left in total?
Qwen2-Math 72B:
Reasoning: You have 28*3 = <<28*3=84>>84 bottle cap designs in total. You lost 3 bottle cap designs, so you have 84-3 = <<84-3=81>>81 bottle cap designs left. ### Answer: 81
Expected answer: 81
Correct? Yes
Problem: Continuing from the previous problem, imagine that you made a counting error. Instead of losing 3 bottle cap designs, you have actually misplaced 14 of them from all the kits. How many bottle cap designs would you have left in that case?
Qwen2-Math 72B:
Reasoning: You have 28*3 = <<28*3=84>>84 bottle cap designs in total. You misplaced 14 bottle cap designs, so you have 84-14 = <<84-14=70>>70 bottle cap designs left. ### 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?
Qwen2-Math 72B:
Reasoning: The company currently owns 30 helicopters. They decide to add an additional 31 helicopters. Therefore, the total number of helicopters in the company's fleet is 30 + 31 = <<30+31=61>>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?
Qwen2-Math 72B:
Reasoning: The company originally owned 63 helicopters. They decided to add an additional 31 helicopters. Therefore, the total number of helicopters in the company's fleet is 63 + 31 = <<63+31=94>>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?
Qwen2-Math 72B:
Reasoning: The town received 71-10 = <<71-10=61>>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?
Qwen2-Math 72B:
Reasoning: The town received 71-49 = <<71-49=22>>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?
Qwen2-Math 72B:
Reasoning: Penny needs $41 - $39 = <<41-39=2>>$2 more to buy the bag. ### 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?
Qwen2-Math 72B:
Reasoning: Penny needs $2 more to buy the bag. Penny would need to do $2/$33 = <<2/33=0.06060606060606061>>0.06060606060606061 jobs to earn $2. Since Penny can't do a fraction of a job, she would need to do 1 job to earn $33. ### Answer: $33
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?
Qwen2-Math 72B:
Reasoning: Penny needs $41 - $23 = <<41-23=18>>$18 more to buy the bag. ### 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?
Qwen2-Math 72B:
Reasoning: The fashion retail store will have 58-21 = <<58-21=37>>37 glasses remaining. ### 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?
Qwen2-Math 72B:
Reasoning: The other branch has 44 glasses in stock. The main store has 37 glasses remaining after selling 21 glasses. The other branch has 44-37 = <<44-37=7>>7 more glasses than the main store. ### 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?
Qwen2-Math 72B:
Reasoning: The fashion retail store will have 40-21 = <<40-21=19>>19 glasses remaining. ### 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?
Qwen2-Math 72B:
Reasoning: The enthusiast started with 29 strawberries and ate 15 for breakfast. Therefore, he has 29 - 15 = <<29-15=14>>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?
Qwen2-Math 72B:
Reasoning: The enthusiast started with 29 strawberries and ate 1 strawberry for breakfast. Therefore, he has 29 - 1 = <<29-1=28>>28 strawberries left. ### Answer: 28
Expected answer: 28
Correct? Yes
Problem: A ballerina practiced 34 dance moves. Then, in the next session, she trained an additional 46 dance moves. How many total dance moves did the ballerina practice?
Qwen2-Math 72B:
Reasoning: The ballerina practiced 34+46 = <<34+46=80>>80 dance moves altogether. ### 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?
Qwen2-Math 72B:
Reasoning: The ballerina intends to keep 80-16 = <<80-16=64>>64 dance moves 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?
Qwen2-Math 72B:
Reasoning: The ballerina practiced 34+57 = <<34+57=91>>91 dance moves altogether. ### Answer: 91
Expected answer: 91
Correct? Yes
Problem: In a car manufacturing factory, there are 50 spots reserved for completed cars. Today, currently there are 21 cars that are fully completed. The rest of the spots are reserved for the cars which are still under process. How many cars are still under process?
Qwen2-Math 72B:
Reasoning: There are 50-21 = <<50-21=29>>29 cars still under process. ### Answer: 29
Expected answer: 29
Correct? Yes
Problem: In addition to the cars under process, 6 spots are cleared to start new projects. After clearing these spots, how many cars still under process remain in the factory?
Qwen2-Math 72B:
Reasoning: After clearing 6 spots, there are 29-6 = <<29-6=23>>23 cars still under process. ### Answer: 23
Expected answer: 23
Correct? Yes
Problem: Let's suppose that instead of 50 spots for cars, the factory had only 45. In that case, currently there are 21 cars that are fully completed. The rest of the spots are reserved for the cars which are still under process. How many cars are still under process now?
Qwen2-Math 72B:
Reasoning: There are 45-21 = <<45-21=24>>24 cars still under process. ### Answer: 24
Expected answer: 24
Correct? Yes
Problem: The art supply store received an order of colored pencils. The packs of colored pencils arrived in two varieties: packs with 32 colored pencils and packs with 62 colored pencils. How many colored pencils are there in total if you have one pack of each variety?
Qwen2-Math 72B:
Reasoning: There are 32 colored pencils in the first pack. There are 62 colored pencils in the second pack. 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?
Qwen2-Math 72B:
Reasoning: There is 1 colored pencil in the first pack. There are 62 colored pencils in the second pack. There are 1+62 = <<1+62=63>>63 colored pencils in total. ### Answer: 63
Expected answer: 63
Correct? Yes
Problem: A cat has 7 lives. If a magical cat has 4 times as many lives as a regular cat, how many lives does the magical cat have?
Qwen2-Math 72B:
Reasoning: A magical cat has 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?
Qwen2-Math 72B:
Reasoning: A different breed of magical cat has 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?
Qwen2-Math 72B:
Reasoning: The rocket needs 27+10 = <<27+10=37>>37 tons of fuel for the initial boost and the rest of the journey. After the unexpected issue, the rocket needs 37+2 = <<37+2=39>>39 tons of fuel in total. ### 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?
Qwen2-Math 72B:
Reasoning: The rocket now needs 27+13 = <<27+13=40>>40 tons of fuel for the initial boost and the rest of the journey. After the unexpected issue, the rocket needs 40+2 = <<40+2=42>>42 tons of fuel in total. ### 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?
Qwen2-Math 72B:
Reasoning: Mark has figured out 89 clues in total, and he started with 94 clues. Therefore, he still needs to figure out 94-89 = <<94-89=5>>5 clues to reach the treasure. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: After previously deciphering 89 clues, Mark stumbled upon a hidden engraving that altered his interpretations. He now realizes that, truly, he had only figured out 17 of the original 94 clues. This correction throws his treasure hunt off course. How many clues does he now need to figure out to reach the treasure?
Qwen2-Math 72B:
Reasoning: Mark has figured out 17 clues in total, and he started with 94 clues. Therefore, he still needs to figure out 94-17 = <<94-17=77>>77 clues to reach the treasure. ### Answer: 77
Expected answer: 77
Correct? Yes
Problem: Mike has 18 dollars. He decides to buy a candy bar that costs 16 dollars. How much money does he have left?
Qwen2-Math 72B:
Reasoning: Mike has 18-16 = <<18-16=2>>2 dollars left. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: After buying the candy bar, Mike finds a wallet on the ground. Inside the wallet, there are 10 dollars. After counting the money he has left, Mike realizes he now has less money than what's in the wallet. How much money is Mike short of having compared to the 10 dollars in the wallet?
Qwen2-Math 72B:
Reasoning: Mike has 2 dollars left after buying the candy bar. Mike is short of 10-2 = <<10-2=8>>8 dollars compared to 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?
Qwen2-Math 72B:
Reasoning: Mike has 74-16 = <<74-16=58>>58 dollars left. ### Answer: 58
Expected answer: 58
Correct? Yes
Problem: On a large farm, there are 77 animals in total. Some of them are cows and the rest are chickens. If the number of chickens is 53 less than the total number of animals, how many chickens are there on the farm?
Qwen2-Math 72B:
Reasoning: The number of cows is 77-53 = <<77-53=24>>24. The number of chickens is 77-24 = <<77-24=53>>53. ### Answer: 53
Expected answer: 24
Correct? No
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?
Qwen2-Math 72B:
Reasoning: The scientists initially tagged 6 sharks. Later, they tagged an additional 50 sharks. Therefore, the total number of sharks tagged is 6 + 50 = <<6+50=56>>56 sharks. ### 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?
Qwen2-Math 72B:
Reasoning: The scientists initially tagged 6 sharks. Later, they tagged an additional 7 sharks. Therefore, the total number of sharks tagged is 6 + 7 = <<6+7=13>>13 sharks. ### 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?
Qwen2-Math 72B:
Reasoning: Jacob gave away 68-62 = <<68-62=6>>6 gems. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: Considering the same video game as before, what if Jacob initially had 100 gems instead of 68 before he gave some away and was left with 62 gems? How many gems did he give away this time?
Qwen2-Math 72B:
Reasoning: Jacob gave away 100-62 = <<100-62=38>>38 gems. ### Answer: 38
Expected answer: 38
Correct? Yes
Problem: In a candle store, there are 27 scented candles and 36 unscented candles. The store owner decides to put 30 candles on sale. How many candles are not on sale?
Qwen2-Math 72B:
Reasoning: The total number of candles in the store is 27+36 = <<27+36=63>>63 candles. The number of candles not on sale is 63-30 = <<63-30=33>>33 candles. ### 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?
Qwen2-Math 72B:
Reasoning: The number of candles left in the store after the sale is 33-14 = <<33-14=19>>19 candles. ### 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?
Qwen2-Math 72B:
Reasoning: The total number of candles in the store is 27+73 = <<27+73=100>>100 candles. The number of candles not on sale is 100-30 = <<100-30=70>>70 candles. ### Answer: 70
Expected answer: 70
Correct? Yes
Problem: In a card game, Alex started with 98 points but lost 51 points in a round. Next, he gained 17 points in a following round. How many points does Alex have after these rounds?
Qwen2-Math 72B:
Reasoning: Alex had 98-51 = <<98-51=47>>47 points after losing in the first round. Alex had 47+17 = <<47+17=64>>64 points after the second round. ### 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?
Qwen2-Math 72B:
Reasoning: Alex had 64-25 = <<64-25=39>>39 points after losing the last round. ### Answer: 39
Expected answer: 39
Correct? Yes
Problem: In the card game, instead of gaining 17 points, Alex only gained 2 points in the second round. Now how many points does Alex have after the first two rounds?
Qwen2-Math 72B:
Reasoning: Alex had 98-51 = <<98-51=47>>47 points after losing in the first round. Alex had 47+2 = <<47+2=49>>49 points after the second round. ### 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?
Qwen2-Math 72B:
Reasoning: The store has 95-4 = <<95-4=91>>91 pairs of pants left. ### Answer: 91
Expected answer: 91
Correct? Yes
Problem: After selling 4 pairs of pants, the clothing store receives a small shipment of 3 more pairs to restock. How many pairs of pants are now in the store?
Qwen2-Math 72B:
Reasoning: The store has 91+3 = <<91+3=94>>94 pairs of pants now. ### Answer: 94
Expected answer: 94
Correct? Yes
Problem: After the clothing store sold 4 pairs of pants, they realized they actually sold 9 pairs during that day instead of the 4 they initially thought. How many pairs of pants are left in the store?
Qwen2-Math 72B:
Reasoning: The store has 95-9 = <<95-9=86>>86 pairs of pants left. ### Answer: 86
Expected answer: 86
Correct? Yes
Problem: In the classroom, there are 48 pencils initially. However, 30 pencils are distributed to students. Later, the teacher brings in an additional 9 pencils. How many pencils are there in the classroom now?
Qwen2-Math 72B:
Reasoning: Initially, there are 48 pencils in the classroom. After distributing 30 pencils to students, there are 48-30 = <<48-30=18>>18 pencils left. After the teacher brings in 9 more pencils, there are 18+9 = <<18+9=27>>27 pencils in the classroom now. ### Answer: 27
Expected answer: 27
Correct? Yes
Problem: Suppose that instead of starting with 48 pencils in the classroom, there were 35. After distributing 30 pencils to the students, the teacher brings in an additional 9, just like before. With this change in initial conditions, how many pencils are now in the classroom?
Qwen2-Math 72B:
Reasoning: Initially, there are 35 pencils in the classroom. After distributing 30 pencils to students, there are 35-30 = <<35-30=5>>5 pencils left. After the teacher brings in 9 more pencils, there are 5+9 = <<5+9=14>>14 pencils in the classroom now. ### Answer: 14
Expected answer: 14
Correct? Yes
Problem: A designer decided to create a variety of window styles for a large commercial building. Originally, there were 68 window concepts. However, with some discussions and reviewing, 49 concepts got rejected. How many window design concepts are there left now?
Qwen2-Math 72B:
Reasoning: There are 68-49 = <<68-49=19>>19 window design concepts left now. ### Answer: 19
Expected answer: 19
Correct? Yes
Problem: Let's reconsider the situation from before. Suppose that in the initial review, the designer didn't reject as many concepts as before. This time, only 17 window design concepts are rejected from the original 68 concepts. How many window design concepts are left now?
Qwen2-Math 72B:
Reasoning: There are 68-17 = <<68-17=51>>51 window design concepts left now. ### Answer: 51
Expected answer: 51
Correct? Yes
Problem: A store has 32 pairs of binoculars in stock. Later in the day, they receive an additional shipment of 20 pairs of binoculars. The next day, the store receives yet another shipment of 23 pairs of binoculars. How many pairs of binoculars does the store have in total?
Qwen2-Math 72B:
Reasoning: The store has 32+20 = <<32+20=52>>52 pairs of binoculars after the first shipment. The store has 52+23 = <<52+23=75>>75 pairs of binoculars after the second shipment. ### 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?
Qwen2-Math 72B:
Reasoning: The store has 32+20 = <<32+20=52>>52 pairs of binoculars after the first shipment. The store has 52+46 = <<52+46=98>>98 pairs of binoculars after the second shipment. ### 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?
Qwen2-Math 72B:
Reasoning: Fiona's original practice time is 28 minutes. She adds an extra 8 minutes to her practice time. Total practice time = Original practice time + Extra practice time Total practice time = 28 minutes + 8 minutes Total practice time = <<28+8=36>>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?
Qwen2-Math 72B:
Reasoning: Fiona practiced for 36 minutes after increasing her practice time by 8 minutes. Then, she practiced an additional 34 minutes for the new song. Total practice time = Previous total practice time + Time for the new song Total practice time = 36 minutes + 34 minutes Total practice time = <<36+34=70>>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?
Qwen2-Math 72B:
Reasoning: Fiona's original practice time is 28 minutes. She adds an extra 20 minutes to her practice time. Total practice time = Original practice time + Extra practice time Total practice time = 28 minutes + 20 minutes Total practice time = <<28+20=48>>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?
Qwen2-Math 72B:
Reasoning: The artisan has 75-55 = <<75-55=20>>20 beads left after making the large commissioned piece. The artisan receives another shipment with 20 beads. The artisan now has 20+20 = <<20+20=40>>40 beads. ### Answer: 40
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?
Qwen2-Math 72B:
Reasoning: The artisan had 40 beads from the previous scenario. The artisan now has 40+29 = <<40+29=69>>69 beads. ### Answer: 69
Expected answer: 69
Correct? Yes
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?
Qwen2-Math 72B:
Reasoning: The artisan has 99-55 = <<99-55=44>>44 beads left after making the large commissioned piece. The artisan receives another shipment with 44 beads. The artisan now has 44+44 = <<44+44=88>>88 beads. ### Answer: 88
Expected answer: 88
Correct? Yes
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?
Qwen2-Math 72B:
Reasoning: 73-67 = <<73-67=6>>6 minutes past 12:00 noon. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: Continuing from the initial situation, suppose there are 73 minutes past 12:00 noon. But instead of subtracting 67 minutes from this as we did before, we subtract just 2 minutes. At what minute into the next hour will the minute hand on the clock be pointing now?
Qwen2-Math 72B:
Reasoning: 73-2 = <<73-2=71>>71 minutes past 12:00 noon. ### Answer: 71
Expected answer: 71
Correct? Yes
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?
Qwen2-Math 72B:
Reasoning: There are 97-45 = <<97-45=52>>52 dolphins 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?
Qwen2-Math 72B:
Reasoning: There are now 52+19 = <<52+19=71>>71 dolphins in the Pacific ocean. ### 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?
Qwen2-Math 72B:
Reasoning: There would have been 61-45 = <<61-45=16>>16 dolphins 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?
Qwen2-Math 72B:
Reasoning: The bus can hold up to 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?
Qwen2-Math 72B:
Reasoning: The bus can hold up to 55 people including the driver. There are 55-1 = <<55-1=54>>54 seats for passengers. If 24 people get off the bus at the first stop, there are 54-24 = <<54-24=30>>30 people left on the bus. ### Answer: 30
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?
Qwen2-Math 72B:
Reasoning: The bus can hold up to 52 people, including the driver. ### 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?
Qwen2-Math 72B:
Reasoning: Jenny made 28+42 = <<28+42=70>>70 cookies in total. ### Answer: 70
Expected answer: 70
Correct? Yes
Problem: After baking all those cookies, Jenny decided to share some with her friends. She gave away 13 cookies. How many cookies does Jenny have left now?
Qwen2-Math 72B:
Reasoning: Jenny had 70 cookies and gave away 13, so she has 70-13 = <<70-13=57>>57 cookies left. ### Answer: 57
Expected answer: 57
Correct? Yes
Problem: What if, instead of baking 28 cookies in the first batch, Jenny had only baked just 1 cookie? After that, she decided to bake another batch of 42 cookies. How many cookies does Jenny have in total then?
Qwen2-Math 72B:
Reasoning: Jenny made 1+42 = <<1+42=43>>43 cookies in total. ### Answer: 43
Expected answer: 43
Correct? Yes
Problem: A lake has 35 million gallons of water. However, due to a heavy rain, an additional 45 million gallons of water was added to the lake. How many million gallons of water does the lake now contain in total?
Qwen2-Math 72B:
Reasoning: The lake now contains 35+45 = <<35+45=80>>80 million gallons of water. ### 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?
Qwen2-Math 72B:
Reasoning: The lake now contains 20+45 = <<20+45=65>>65 million gallons of water. ### 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?
Qwen2-Math 72B:
Reasoning: Initially, there were 34+19 = <<34+19=53>>53 tables in the banquet hall. After shifting 52 tables, the number of tables left is 53-52 = <<53-52=1>>1 table. ### 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?
Qwen2-Math 72B:
Reasoning: Initially, there were 34+35 = <<34+35=69>>69 tables on the left side of the banquet hall. After shifting 52 tables, the number of tables left is 69-52 = <<69-52=17>>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?
Qwen2-Math 72B:
Reasoning: The superhero saved 49+18 = <<49+18=67>>67 people in total. ### 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?
Qwen2-Math 72B:
Reasoning: The superhero saved 80+18 = <<80+18=98>>98 people in total. ### 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?
Qwen2-Math 72B:
Reasoning: The artist used 88-66 = <<88-66=22>>22 tubes of paint in his creation. ### 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?
Qwen2-Math 72B:
Reasoning: The artist used 88-69 = <<88-69=19>>19 tubes of paint in this situation. ### Answer: 19
Expected answer: 19
Correct? Yes
Problem: In a Bubble village, there are 16 light pink bubbles. 46 dark pink bubbles float in from a neighboring village and join the light pink bubbles. How many bubbles are there in the Bubble village altogether?
Qwen2-Math 72B:
Reasoning: There are 16+46 = <<16+46=62>>62 bubbles in the Bubble village altogether. ### Answer: 62
Expected answer: 62
Correct? Yes
Problem: In a Bubble village, there are 16 light pink bubbles. 46 dark pink bubbles float in from a neighboring village and join the light pink bubbles. Then, a bubbly wind blew and brought in 13 more multi-colored bubbles into the village. How many bubbles are there in the Bubble village now?
Qwen2-Math 72B:
Reasoning: There are 16+46 = <<16+46=62>>62 bubbles in the Bubble village after the dark pink bubbles join. There are 62+13 = <<62+13=75>>75 bubbles in the Bubble village now. ### Answer: 75
Expected answer: 75
Correct? Yes
Problem: In the Bubble village, initially there were 16 light pink bubbles. But instead of 46 dark pink bubbles that floated in from a neighboring village, suppose there were 63 dark pink bubbles. How many bubbles will be there in the Bubble village now?
Qwen2-Math 72B:
Reasoning: There are 16+63 = <<16+63=79>>79 bubbles in the Bubble village altogether. ### Answer: 79
Expected answer: 79
Correct? Yes
Problem: A farmer planted 58 new apple trees in his orchard. After a few weeks, he planted an additional 2 apple trees. How many apple trees do the farmer have in all?
Qwen2-Math 72B:
Reasoning: The farmer has 58+2 = <<58+2=60>>60 apple trees in all. ### 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?
Qwen2-Math 72B:
Reasoning: The farmer has 29+2 = <<29+2=31>>31 apple trees in total. ### 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?
Qwen2-Math 72B:
Reasoning: Susie has 44 pairs of roller skates in her bedroom and the same number in her basement, which is also 44 pairs. To find the total number of pairs of roller skates, we add the pairs in the bedroom to the pairs in the basement: 44 + 44 = <<44+44=88>>88 pairs. ### Answer: 88
Expected answer: 88
Correct? Yes
Problem: Susie was mistaken about the number of pairs of roller skates she owns. Instead of 44, she has 16 pairs of roller skates in her bedroom, and she also has the same quantity in her basement. How many pairs of roller skates does she actually have in total?
Qwen2-Math 72B:
Reasoning: Susie has 16 pairs of roller skates in her bedroom and the same number in her basement, which is also 16 pairs. To find the total number of pairs of roller skates, we add the pairs in the bedroom to the pairs in the basement: 16 + 16 = <<16+16=32>>32 pairs. ### 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?
Qwen2-Math 72B:
Reasoning: Amy found 19+41 = <<19+41=60>>60 socks in total. Amy has 87-60 = <<87-60=27>>27 socks left to find and pair. ### Answer: 27
Expected answer: 27
Correct? Yes
Problem: Amy remembered that she actually found 16 blue socks, not 41, in the other box along with the 19 red socks. With this new count, how many socks does she have left to find and pair from the original total of 87 socks?
Qwen2-Math 72B:
Reasoning: Amy found 19+16 = <<19+16=35>>35 socks in total. Amy has 87-35 = <<87-35=52>>52 socks left to find and pair. ### Answer: 52
Expected answer: 52
Correct? Yes
Problem: A wizard has concocted a magical spell that requires the combination of 11 different herbs and 57 assorted crystals. In a different potion, the wizard needs to combine 26 rare ingredients as well as all the ingredients he used in the first spell. How many total ingredients does the wizard need for the second potion?
Qwen2-Math 72B:
Reasoning: The wizard needs 11+57 = <<11+57=68>>68 ingredients for the first spell. The wizard needs 68+26 = <<68+26=94>>94 ingredients for the second spell. ### 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?
Qwen2-Math 72B:
Reasoning: The wizard needs 11+57 = <<11+57=68>>68 ingredients for the first potion. The wizard needs 68+18 = <<68+18=86>>86 ingredients for the modified second potion. ### Answer: 86
Expected answer: 86
Correct? Yes
Problem: You have a map containing 13 treasure locations. Then, you found another map containing 55 more locations. How many treasure locations are there in total on both maps?
Qwen2-Math 72B:
Reasoning: There are 13+55 = <<13+55=68>>68 treasure locations in total on both maps. ### 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?
Qwen2-Math 72B:
Reasoning: There are 13+83 = <<13+83=96>>96 treasure locations in total on both maps. ### 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?
Qwen2-Math 72B:
Reasoning: Initially, there were 26 carrot seeds. After adding 22 more seeds, the total number of carrot seeds is 26+22 = <<26+22=48>>48. ### Answer: 48
Expected answer: 48
Correct? Yes
Problem: You have a vegetable garden with a special spot dedicated to growing carrots. Initially, you planted 26 carrot seeds. A few weeks later, you added 22 more seeds. How many carrot seeds are there in total? Now, your neighbor gives you an additional same number of carrot seeds as the ones you initially planted (26 seeds). After adding these seeds too, how many carrot seeds do you have in total?
Qwen2-Math 72B:
Reasoning: Initially, there were 26 carrot seeds. After adding 22 more seeds, the total number of carrot seeds is 26+22 = <<26+22=48>>48. After adding the additional 26 seeds from your neighbor, the total number of carrot seeds is 48+26 = <<48+26=74>>74. ### Answer: 74
Expected answer: 74
Correct? Yes
Problem: In the previous problem, you initially planted 26 carrot seeds in your vegetable garden. But imagine if instead, you initially put 55 carrot seeds. And then a few weeks later, you added the same 22 more seeds. How many carrot seeds would there be in total in that case?
Qwen2-Math 72B:
Reasoning: Initially, there were 55 carrot seeds. After adding 22 more seeds, the total number of carrot seeds is 55+22 = <<55+22=77>>77. ### Answer: 77
Expected answer: 77
Correct? Yes
Problem: At a beach party, there are 21 beach balls being played with. Suddenly, another batch of beach balls just as big as the first one arrived. How many beach balls are there at the party now?
Qwen2-Math 72B:
Reasoning: The second batch of beach balls is 21, which is the same as the first batch. There are 21+21 = <<21+21=42>>42 beach balls at the party now. ### 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?
Qwen2-Math 72B:
Reasoning: The total number of beach balls played and newly received is 42. The total number of beach balls in the storage unit after the party is 62. The number of beach balls originally in the storage unit is 62-42 = <<62-42=20>>20. ### Answer: 20
Expected answer: 20
Correct? Yes
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?
Qwen2-Math 72B:
Reasoning: The second batch of beach balls is 29, which is the same as the first batch. There are 29+29 = <<29+29=58>>58 beach balls at the party now. ### Answer: 58
Expected answer: 58
Correct? Yes