Common Core Standard 2.NBT.B.6
This standard covers the following:
Add up to four two-digit numbers using strategies based on place value and properties of operations.
Problem: At a party, 66 teenagers and 6 adults attend at first. Later on, the number of guests increases by 62. Near the end, an additional group of 52 people join the party. How many people attended the party in total?
Qwen2-Math 72B:
Reasoning: Initially, there were 66+6 = <<66+6=72>>72 people at the party. After the first increase, there were 72+62 = <<72+62=134>>134 people at the party. After the second increase, there were 134+52 = <<134+52=186>>186 people at the party. ### Answer: 186
Expected answer: 186
Correct? Yes
Problem: Following the party, the hosts want to estimate the total attendance for both the party and its pre-party. At the pre-party, the original group of teenagers and adults also attended (66 teenagers and 6 adults). How many people attended both events in total?
Qwen2-Math 72B:
Reasoning: At the pre-party, there were 66+6 = <<66+6=72>>72 people. Adding the total attendance from the party (186 people), the total attendance for both events is 72+186 = <<72+186=258>>258 people. ### Answer: 258
Expected answer: 258
Correct? Yes
Problem: Tom has 11 hats. He then buys a box of hats that contains 42 more. How many hats does Tom have now?
Qwen2-Math 72B:
Reasoning: Tom has 11+42 = <<11+42=53>>53 hats now. ### Answer: 53
Expected answer: 53
Correct? Yes
Problem: Continuing from the previous problem, what if Tom originally had 8 hats instead of 11? How many hats would Tom have after buying the box of 42 hats?
Qwen2-Math 72B:
Reasoning: Tom has 8+42 = <<8+42=50>>50 hats now. ### Answer: 50
Expected answer: 50
Correct? Yes
Problem: Penny has 9 pens in her backpack. Later in the day, she finds 56 gum wrappers in her backpack. How many items does Penny have in her backpack in total?
Qwen2-Math 72B:
Reasoning: Penny has 9+56 = <<9+56=65>>65 items in her backpack in total. ### Answer: 65
Expected answer: 65
Correct? Yes
Problem: Penny realizes she drastically underestimated the number of pens in her backpack. There are actually 90 pens, not 9. With the 56 gum wrappers, how many items does Penny have in her backpack now?
Qwen2-Math 72B:
Reasoning: Penny has 90+56 = <<90+56=146>>146 items in her backpack now. ### Answer: 146
Expected answer: 146
Correct? Yes
Problem: At a beach party, one participant inflated 75 beach balls. Shortly after, another participant added 78 more beach balls. How many beach balls are there in total at the beach party?
Qwen2-Math 72B:
Reasoning: The total number of beach balls at the beach party is 75 + 78 = <<75+78=153>>153. ### Answer: 153
Expected answer: 153
Correct? Yes
Problem: After all the beach balls were inflated at the party, a group of latecomers showed up with 96 more beach balls of their own to add to the mix. How many beach balls are there now in total at the beach party?
Qwen2-Math 72B:
Reasoning: The total number of beach balls at the beach party is now 153 + 96 = <<153+96=249>>249. ### Answer: 249
Expected answer: 249
Correct? Yes
Problem: At a party, 74 adults and 58 children were enjoying the games and food. Later, an additional 20 adults arrived. How many total people were at the party then?
Qwen2-Math 72B:
Reasoning: Initially, there were 74+58 = <<74+58=132>>132 people at the party. After 20 more adults arrived, the total number of people became 132+20 = <<132+20=152>>152. ### Answer: 152
Expected answer: 152
Correct? Yes
Problem: At the party where 74 adults and 58 children were enjoying the games and food, 20 more adults arrived later. After a while, a bus with 65 more people, both adults, and children, came to join the party. How many total people were at the party after the bus arrived?
Qwen2-Math 72B:
Reasoning: Initially, there were 74+58 = <<74+58=132>>132 people at the party. After 20 more adults arrived, the total number of people became 132+20 = <<132+20=152>>152. After the bus with 65 more people arrived, the total number of people became 152+65 = <<152+65=217>>217. ### Answer: 217
Expected answer: 217
Correct? Yes
Problem: Originally at the party there were 74 adults and 58 children. However, what if there were only 11 children to start with instead of 58? 20 more adults still arrive later. How many total people would be at the party then?
Qwen2-Math 72B:
Reasoning: Initially, there were 74+11 = <<74+11=85>>85 people at the party. After 20 more adults arrived, the total number of people became 85+20 = <<85+20=105>>105. ### Answer: 105
Expected answer: 105
Correct? Yes
Problem: A boat starts on the east coast and travels 43 squids (a joke nickname for miles) west. It then takes a detour for an additional 25 squids. After this, it travels another 33 squids. How far in total, in squids, has the boat traveled from the starting point of east coast?
Qwen2-Math 72B:
Reasoning: The boat traveled 43 squids west, then an additional 25 squids, and finally another 33 squids. Total distance traveled = 43 + 25 + 33 = <<43+25+33=101>>101 squids. ### Answer: 101 squids
Expected answer: 101
Correct? Yes
Problem: Continuing from the last problem, the boat decides to continue its journey, traveling for another 83 squids. How far in total, in squids, has the boat traveled from the starting point of the East Coast now?
Qwen2-Math 72B:
Reasoning: The boat traveled an additional 83 squids. Total distance traveled = 101 + 83 = <<101+83=184>>184 squids. ### Answer: 184 squids
Expected answer: 184
Correct? Yes
Problem: Let's revisit the previous scenario. Suppose that the boat started on the East Coast and initially traveled 43 squids west, then took a detour that was only 25 squids long. But instead of moving an additional 33 squids as before, this time, it only travels another 30 squids. Now, how far, in squids, has the boat traveled from the starting point of the East Coast?
Qwen2-Math 72B:
Reasoning: The boat traveled 43 squids west, then an additional 25 squids, and finally another 30 squids. Total distance traveled = 43 + 25 + 30 = <<43+25+30=98>>98 squids. ### Answer: 98 squids
Expected answer: 98
Correct? Yes
Problem: Mary has 89 guitar picks in her collection. She goes to a music festival and indicates that she will have the amount she currently has plus 60 more after the event. How many guitar picks will Mary have after the festival?
Qwen2-Math 72B:
Reasoning: Mary will have 89+60 = <<89+60=149>>149 guitar picks after the festival. ### Answer: 149
Expected answer: 149
Correct? Yes
Problem: After the music festival, Mary's friend James gives her an additional 31 guitar picks for her collection. Now, with the ones she got from the festival and the ones James gave her, how many guitar picks does Mary have in her collection?
Qwen2-Math 72B:
Reasoning: Mary now has 149+31 = <<149+31=180>>180 guitar picks in her collection. ### Answer: 180
Expected answer: 180
Correct? Yes
Problem: Instead of obtaining 60 guitar picks at the music festival, what if Mary had only managed to gather 27 more picks? How many guitar picks would Mary have had after the music festival in that case?
Qwen2-Math 72B:
Reasoning: Mary will have 89+27 = <<89+27=116>>116 guitar picks after the festival. ### Answer: 116
Expected answer: 116
Correct? Yes
Problem: A fisherman was in his boat out on the lake. The total length, in inches, of all the fish he caught today was 90 inches. On the way back to shore, he caught 14 more inches of fish. He also caught a total of 56 inches of fish yesterday. Before he went home he caught an additional 46 inches of fish from the dock. If he added all the inches of fish he caught together, how many total inches of fish did he catch?
Qwen2-Math 72B:
Reasoning: The fisherman caught 90+14 = <<90+14=104>>104 inches of fish on the way back to shore. The fisherman caught 104+56 = <<104+56=160>>160 inches of fish in total on the lake. The fisherman caught 160+46 = <<160+46=206>>206 inches of fish altogether. ### Answer: 206
Expected answer: 206
Correct? Yes
Problem: Jackie has 49 contacts on her phone. She meets new people at a conference and adds 80 more contacts. Then, her co-worker gives her a list with 27 additional contacts. How many contacts does Jackie have on her phone now?
Qwen2-Math 72B:
Reasoning: Jackie has 49+80 = <<49+80=129>>129 contacts after the conference. Jackie has 129+27 = <<129+27=156>>156 contacts on her phone now. ### Answer: 156
Expected answer: 156
Correct? Yes
Problem: What if, instead of initially having 49 contacts, Jackie only had 32 contacts on her phone before the conference? How many contacts would she have on her phone after adding the 80 from the conference and the additional 27 from her co-worker?
Qwen2-Math 72B:
Reasoning: Jackie has 32+80 = <<32+80=112>>112 contacts after the conference. Jackie has 112+27 = <<112+27=139>>139 contacts on her phone now. ### Answer: 139
Expected answer: 139
Correct? Yes
Problem: Elizabeth has 70 beads and buys another 55 beads for making her necklace. She also gets another 52 beads as a gift from her friend. How many beads does she have altogether now?
Qwen2-Math 72B:
Reasoning: Elizabeth has 70+55 = <<70+55=125>>125 beads after buying more. Elizabeth has 125+52 = <<125+52=177>>177 beads altogether now. ### Answer: 177
Expected answer: 177
Correct? Yes
Problem: Following the previous question, let's consider a different scenario. Suppose initially, Elizabeth had 70 beads and still bought another 55. However, her friend, instead of giving her 52 beads, gave her 75 beads. How many beads does she have in this case?
Qwen2-Math 72B:
Reasoning: Elizabeth has 70+55 = <<70+55=125>>125 beads after buying more. Elizabeth has 125+75 = <<125+75=200>>200 beads altogether now. ### Answer: 200
Expected answer: 200
Correct? Yes
Problem: In a mythical land, a unicorn, named Oscar, discovered 66 golden apples. To his surprise, after a magical event, the number of apples increased by 67. On his way back home, he found an extra 13 golden apples. How many golden apples does Oscar have now?
Qwen2-Math 72B:
Reasoning: Oscar had 66+67 = <<66+67=133>>133 golden apples after the magical event. Oscar has 133+13 = <<133+13=146>>146 golden apples now. ### Answer: 146
Expected answer: 146
Correct? Yes
Problem: Jenny starts her day with 96 beads. She then gets an additional bracelet that has 73 more beads than she started with. How many beads are on the new bracelet?
Qwen2-Math 72B:
Reasoning: Jenny starts her day with 96 beads. She then gets an additional bracelet that has 73 more beads than she started with. So, the new bracelet has 96+73 = <<96+73=169>>169 beads. ### Answer: 169
Expected answer: 169
Correct? Yes
Problem: After receiving the new bracelet, Jenny decides to add 2 beads that she found in her room to her collection. How many beads does Jenny have now in total?
Qwen2-Math 72B:
Reasoning: Jenny starts with 96 beads. She then gets an additional bracelet that has 73 more beads than she started with. So, the new bracelet has 96+73 = <<96+73=169>>169 beads. Jenny decides to add 2 beads that she found in her room to her collection. So, Jenny now has 96+169+2 = <<96+169+2=267>>267 beads in total. ### Answer: 267
Expected answer: 171
Correct? No
Problem: Instead of starting the day with 96 beads, imagine that Jenny had only 29 beads to begin with. She still adds a new bracelet to her collection, which has 73 more beads than she started the day with. How many beads are on this new bracelet?
Qwen2-Math 72B:
Reasoning: Jenny starts her day with 29 beads. She then gets an additional bracelet that has 73 more beads than she started with. So, the new bracelet has 29+73 = <<29+73=102>>102 beads. ### Answer: 102
Expected answer: 102
Correct? Yes
Problem: A cat named Whiskers catches 50 mice in a year. In the same year, another cat named Velvet catches 89. How many mice combined did Whiskers and Velvet catch in that year?
Qwen2-Math 72B:
Reasoning: Whiskers and Velvet caught 50+89 = <<50+89=139>>139 mice combined in that year. ### Answer: 139
Expected answer: 139
Correct? Yes
Problem: Following the previous problem, suppose Whiskers had a surge in hunting activity and caught an additional amount of mice equal to the combined total previously calculated. How many mice would Whiskers have caught in total by the end of the year?
Qwen2-Math 72B:
Reasoning: Whiskers caught an additional 139 mice, bringing his total to 50+139 = <<50+139=189>>189 mice. ### Answer: 189
Expected answer: 189
Correct? Yes
Problem: Referring back to the first problem, suppose Whiskers only caught 4 mice in the year instead of 50. Considering Velvet still caught 89 mice, how many mice combined did Whiskers and Velvet catch in that year?
Qwen2-Math 72B:
Reasoning: Whiskers and Velvet caught 4+89 = <<4+89=93>>93 mice combined in that year. ### Answer: 93
Expected answer: 93
Correct? Yes
Problem: Oliver has 80 maps in his collection. Then, he acquires an additional 77 maps. How many maps does Oliver have in his collection now?
Qwen2-Math 72B:
Reasoning: Oliver has 80+77 = <<80+77=157>>157 maps in his collection now. ### Answer: 157
Expected answer: 157
Correct? Yes
Problem: Following the previous question, Oliver decided to visit a flea market and found additional 61 old maps to add to his collection. Now, how many maps does Oliver have in his collection?
Qwen2-Math 72B:
Reasoning: Oliver has 157+61 = <<157+61=218>>218 maps in his collection now. ### Answer: 218
Expected answer: 218
Correct? Yes
Problem: Consider the map collection problem again. What if Oliver originally had 72 maps instead of 80, but still added the same number of maps (77) to his collection. Now, how many maps does Oliver have in his collection?
Qwen2-Math 72B:
Reasoning: Oliver has 72+77 = <<72+77=149>>149 maps in his collection now. ### Answer: 149
Expected answer: 149
Correct? Yes
Problem: Joseph was weaving a blanket and the first day, he made 17 pieces. On the second day, he added an additional 33 pieces to his work. After seeing his work, his grandmother made 19 more pieces and added them to Joseph's work. How many pieces were made in total?
Qwen2-Math 72B:
Reasoning: Joseph made 17+33 = <<17+33=50>>50 pieces in total. Joseph's grandmother made 50+19 = <<50+19=69>>69 pieces in total. ### Answer: 69
Expected answer: 69
Correct? Yes
Problem: Mark has 79 apples from his apple picking trip. His friend gifts him more apples such that the total count is now 92 more than his initial count. A week later, his neighbor gifts him another 24 apples. How many apples does Mark have now?
Qwen2-Math 72B:
Reasoning: Mark's friend gifts him 79+92 = <<79+92=171>>171 apples. Mark has 171+24 = <<171+24=195>>195 apples now. ### Answer: 195
Expected answer: 195
Correct? Yes
Problem: Following the previous scenario, Mark's cousin visits him and, being aware of his enthusiasm for apples, gifts him another 40 apples. Now, how many apples does Mark have in total?
Qwen2-Math 72B:
Reasoning: Mark's cousin gifts him 195+40 = <<195+40=235>>235 apples. Mark has 235 apples in total now. ### Answer: 235
Expected answer: 235
Correct? Yes
Problem: Going back to Mark's initial apple count, let's say he originally had 79 apples from his apple picking trip. His friend gifts him more apples such that the total count is now 92 more than his initial count. This time, however, his neighbour gifts him another 64 apples instead of 24. How many apples does Mark have in this scenario?
Qwen2-Math 72B:
Reasoning: Mark's friend gifts him 79+92 = <<79+92=171>>171 apples. Mark has 171+64 = <<171+64=235>>235 apples now. ### Answer: 235
Expected answer: 235
Correct? Yes
Problem: In a fairy realm, Twinkle, a star fairy finds 35 magical clovers. Lumina, a light fairy finds 69 more. How many magical clovers did they both find in total?
Qwen2-Math 72B:
Reasoning: Lumina finds 35+69 = <<35+69=104>>104 magical clovers. Together, they find 35+104 = <<35+104=139>>139 magical clovers. ### Answer: 139
Expected answer: 104
Correct? No
Problem: A weather instrument measured the wind speed at 93 miles per hour at one location. At another location, the wind speed was exactly the same. What was the combined wind speed recorded at the two locations?
Qwen2-Math 72B:
Reasoning: The combined wind speed recorded at the two locations is 93+93 = <<93+93=186>>186 miles per hour. ### Answer: 186
Expected answer: 186
Correct? Yes
Problem: Continuing from the last problem, an additional location was checked, and its wind speed was also 93 miles per hour. What is the total wind speed recorded across all three locations?
Qwen2-Math 72B:
Reasoning: The total wind speed recorded across all three locations is 186+93 = <<186+93=279>>279 miles per hour. ### Answer: 279
Expected answer: 279
Correct? Yes
Problem: Continuing from the previous problem, suppose that the wind speed at each of the initial two locations was 99 miles per hour instead of 93. What would the combined wind speed from these two locations be then?
Qwen2-Math 72B:
Reasoning: The combined wind speed from the two locations would be 99+99 = <<99+99=198>>198 miles per hour. ### Answer: 198
Expected answer: 198
Correct? Yes
Problem: A robot is programmed to drive around a circuit. Initially, it travels 10 meters. Then, it runs an updated programming command that allows it to travel 26 meters more than it originally did. How far in total does the robot travel after running the updated programming command?
Qwen2-Math 72B:
Reasoning: The robot travels 10+26 = <<10+26=36>>36 meters after running the updated programming command. The robot travels 10+36 = <<10+36=46>>46 meters in total. ### Answer: 46
Expected answer: 36
Correct? No
Problem: Ella owns 5 pens, while Zach owns 30 pens. They both decide to donate all their pens to a local school. How many pens are they donating to the school?
Qwen2-Math 72B:
Reasoning: Ella and Zach are donating 5+30 = <<5+30=35>>35 pens to the school. ### Answer: 35
Expected answer: 35
Correct? Yes
Problem: After Ella and Zach donate their pens to the local school, the school received another donation of 80 pens from a stationery company. How many total pens does the school now have after receiving all of the donation?
Qwen2-Math 72B:
Reasoning: The school received 35+80 = <<35+80=115>>115 pens in total. ### Answer: 115
Expected answer: 115
Correct? Yes
Problem: Ella realized that she actually had 50 pens instead of 5. Adding to Zach's 30 pens they had earlier, how many pens are they donating to the local school now?
Qwen2-Math 72B:
Reasoning: Ella and Zach are donating 50+30 = <<50+30=80>>80 pens to the school. ### Answer: 80
Expected answer: 80
Correct? Yes
Problem: A dog shelter has 62 indoor kennels and 52 outdoor kennels for the dogs. How many kennels do they have altogether?
Qwen2-Math 72B:
Reasoning: The dog shelter has 62+52 = <<62+52=114>>114 kennels altogether. ### Answer: 114
Expected answer: 114
Correct? Yes
Problem: What if at the start, the shelter originally had 89 indoor kennels instead of 62. How many kennels would they have combined with the 52 outdoor kennels in this scenario?
Qwen2-Math 72B:
Reasoning: The dog shelter would have 89+52 = <<89+52=141>>141 kennels altogether. ### Answer: 141
Expected answer: 141
Correct? Yes
Problem: In a math class, students have to draw shapes based on certain numeric conditions. One student starts by rotating an angle to form 92 degrees. Then, he rotates the same angle by an additional 84 degrees. This gives him shape 't'. He modifies shape 't' by rotating another 90 degrees and labels this as shape 'l'. Finally, he rotates it by another 66 degrees to form shape 'n'. What is the total degree measure of the rotations made to get shape 'n'?
Qwen2-Math 72B:
Reasoning: The student rotates the angle by 92 degrees initially. Then, he rotates the angle by an additional 84 degrees, making the total rotation 92+84 = <<92+84=176>>176 degrees. Shape 'l' is formed by rotating shape 't' by 90 degrees, making the total rotation 176+90 = <<176+90=266>>266 degrees. Finally, shape 'n' is formed by rotating shape 'l' by 66 degrees, making the total rotation 266+66 = <<266+66=332>>332 degrees. ### Answer: 332
Expected answer: 332
Correct? Yes
Problem: After the student creates shape 'n', he isn't quite satisfied. He rotates his most recent shape by another 22 degrees in order to make shape 'z'. What is the total degree measure of the rotations made to end up with shape 'z'?
Qwen2-Math 72B:
Reasoning: The student rotates the angle by 332 degrees to form shape 'n'. Then, he rotates the angle by an additional 22 degrees to form shape 'z', making the total rotation 332+22 = <<332+22=354>>354 degrees. ### Answer: 354
Expected answer: 354
Correct? Yes
Problem: Let's change the scenario a bit. Suppose the student does everything as before, rotating an angle to form 92 degrees, and again by an additional of 84 degrees to form shape 't'. Then they modify shape 't' by adding another 90 degrees to form shape 'l'. But this time, instead of rotating an additional 66 degrees for shape 'n', he rotates by 30 degrees. What would be the total degree measure of the rotations made to get to shape 'n' in this case?
Qwen2-Math 72B:
Reasoning: The student rotates the angle by 92 degrees initially. Then, he rotates the angle by an additional 84 degrees, making the total rotation 92+84 = <<92+84=176>>176 degrees. Shape 'l' is formed by rotating shape 't' by 90 degrees, making the total rotation 176+90 = <<176+90=266>>266 degrees. Finally, shape 'n' is formed by rotating shape 'l' by 30 degrees, making the total rotation 266+30 = <<266+30=296>>296 degrees. ### Answer: 296
Expected answer: 296
Correct? Yes
Problem: Jeremy bought 28 pieces of cheese from the cheese shop. Later that day, he buys 4 more pieces from the market. How many pieces of cheese does Jeremy now have?
Qwen2-Math 72B:
Reasoning: Jeremy bought 28+4 = <<28+4=32>>32 pieces of cheese. ### Answer: 32
Expected answer: 32
Correct? Yes
Problem: Let's imagine that when Jeremy first went shopping, he actually only bought 26 pieces of cheese from the cheese shop, but he still bought 4 more pieces from the market later that day. How many pieces of cheese would Jeremy have then?
Qwen2-Math 72B:
Reasoning: Jeremy bought 26+4 = <<26+4=30>>30 pieces of cheese. ### Answer: 30
Expected answer: 30
Correct? Yes
Problem: Once upon a time, there were 84 magic jewels in the secret treasure chest of the kingdom. Young princess Mia found the treasure chest and a magical charm that whenever she puts it on 83 more magic jewels appear in the chest. How many magic jewels are there in the treasure chest now?
Qwen2-Math 72B:
Reasoning: Mia found 84 magic jewels in the chest. When she puts on the magical charm, 83 more magic jewels appear. So, there are now 84 + 83 = <<84+83=167>>167 magic jewels in the chest. ### Answer: 167
Expected answer: 167
Correct? Yes
Problem: After Princess Mia discovered the magic of the charm, she was very excited and couldn't resist using the charm one more time. This time, instead of 83 magic jewels, 72 extra magic jewels appeared in the treasure chest. How many magic jewels are there in the treasure chest now?
Qwen2-Math 72B:
Reasoning: Mia found 84 magic jewels in the chest. When she puts on the magical charm, 72 more magic jewels appear. So, there are now 84 + 72 = <<84+72=156>>156 magic jewels in the chest. ### Answer: 156
Expected answer: 239
Correct? No
Problem: In a jewelry store, there are 98 rings on display. In another display case, there are an additional number of rings that is equal to 59 plus the number of rings in the first display case. How many rings are in the second display case?
Qwen2-Math 72B:
Reasoning: The number of rings in the second display case is 59 + 98 = <<59+98=157>>157 rings. ### Answer: 157
Expected answer: 157
Correct? Yes
Problem: Following the previous scenario, the jewelry store receives a new batch of 84 rings that are added to the second display case. What is the new total number of rings in the second display case after adding the new batch?
Qwen2-Math 72B:
Reasoning: The new total number of rings in the second display case is 157 + 84 = <<157+84=241>>241 rings. ### Answer: 241
Expected answer: 241
Correct? Yes
Problem: Let's rethink our original scenario at the jewelry store. Suppose instead that the second display contained a number of rings equal to 43 plus the number of rings in the first display case, which was 98. In that case, how many rings would the second display case have held?
Qwen2-Math 72B:
Reasoning: The number of rings in the second display case would be 43 + 98 = <<43+98=141>>141 rings. ### Answer: 141
Expected answer: 141
Correct? Yes
Problem: In a school stationery shop, there are 74 erasers available. If the shopkeeper adds 32 more erasers to the inventory, how many erasers are there in total?
Qwen2-Math 72B:
Reasoning: The shopkeeper adds 32 more erasers to the inventory, so the total number of erasers is 74 + 32 = <<74+32=106>>106. ### Answer: 106
Expected answer: 106
Correct? Yes
Problem: In a school stationery shop, there are 74 erasers available. A shopkeeper adds 32 more erasers to the inventory. Later in the day, a student donates another 24 erasers to the school shop. How many erasers are there in total now?
Qwen2-Math 72B:
Reasoning: The shopkeeper adds 32 more erasers to the inventory, so the total number of erasers is 74 + 32 = <<74+32=106>>106. A student donates another 24 erasers to the school shop, so the total number of erasers is now 106 + 24 = <<106+24=130>>130. ### Answer: 130
Expected answer: 130
Correct? Yes
Problem: Sally was on a swing and she swung back and forth 57 times. Jack also started swinging and he swung back and forth 57 more times than Sally. Xavier, feeling competitive, starts swinging too and he further manages to swing back forth 92 times more than Jack. How many times did Xavier swing back and forth?
Qwen2-Math 72B:
Reasoning: Jack swung back and forth 57+57 = <<57+57=114>>114 times. Xavier swung back and forth 114+92 = <<114+92=206>>206 times. ### Answer: 206
Expected answer: 206
Correct? Yes
Problem: After Xavier finishes his turn on the swing, Faye decides to take a ride. She swings back and forth 95 times. If we add the number of times Faye swung to the number of times Xavier swung, how many total swings is that?
Qwen2-Math 72B:
Reasoning: Xavier swung back and forth 206 times. Faye swung back and forth 95 times. The total number of swings is 206+95 = <<206+95=291>>291 swings. ### Answer: 291
Expected answer: 301
Correct? No
Problem: In the previous problem, we learned that Jack swung 57 times more than Sally. But what if Jack had only swung 46 times more than Sally? Sally still swung 57 times. If Jack then swung 46 more times than Sally, and Xavier again swung 92 times more than Jack, how many swings would Xavier have taken in this case?
Qwen2-Math 72B:
Reasoning: Jack swung back and forth 57+46 = <<57+46=103>>103 times. Xavier swung back and forth 103+92 = <<103+92=195>>195 times. ### Answer: 195
Expected answer: 195
Correct? Yes
Problem: Tommy absolutely loves ice cream. One day he ate 15 ice creams. The next day, he ate twice that amount. On the third day, he couldn't resist and ate 31 more than he did on the second day. How many ice creams did Tommy eat on the third day?
Qwen2-Math 72B:
Reasoning: Tommy ate 15*2 = <<15*2=30>>30 ice creams on the second day. Tommy ate 30+31 = <<30+31=61>>61 ice creams on the third day. ### Answer: 61
Expected answer: 61
Correct? Yes
Problem: In the initial scenario, Tommy ate 15 ice creams on the first day and twice that amount on the second. Given this, suppose on the third day, Tommy ate 32 more than the number of ice creams he had on the second day, instead of 31. How many ice creams would Tommy have eaten on the third day, then?
Qwen2-Math 72B:
Reasoning: Tommy ate 15*2 = <<15*2=30>>30 ice creams on the second day. Tommy ate 30+32 = <<30+32=62>>62 ice creams on the third day. ### Answer: 62
Expected answer: 62
Correct? Yes
Problem: Michael has a camera collection. He starts off with 97 cameras. He wins a major auction and adds another 65 cameras. How many cameras does he have in his collection now?
Qwen2-Math 72B:
Reasoning: Michael has 97+65 = <<97+65=162>>162 cameras in his collection now. ### Answer: 162
Expected answer: 162
Correct? Yes
Problem: After winning the auction, Michael receives a gift of 82 more cameras from a close friend who is retiring from photography. How many cameras does he have in his collection now?
Qwen2-Math 72B:
Reasoning: Michael has 162+82 = <<162+82=244>>244 cameras in his collection now. ### Answer: 244
Expected answer: 244
Correct? Yes
Problem: What would have been the total number of cameras if Michael originally started off with 35 cameras instead of 97 before he won the auction and received additional cameras?
Qwen2-Math 72B:
Reasoning: Michael would have had 35+65 = <<35+65=100>>100 cameras in his collection now. ### Answer: 100
Expected answer: 100
Correct? Yes
Problem: Sam has 75 skateboard stickers. His friend Zack gives him another 68 stickers. Later, his other friend Ethan gives him 46 more stickers. How many skateboard stickers does Sam have now?
Qwen2-Math 72B:
Reasoning: Sam has 75+68 = <<75+68=143>>143 stickers after Zack gives him more. Sam has 143+46 = <<143+46=189>>189 stickers after Ethan gives him more. ### Answer: 189
Expected answer: 189
Correct? Yes
Problem: Let's imagine that this time, Sam originally had 75 skateboard stickers, but his friend Zack gave him fewer stickers than before, just 68 stickers. However, his other friend Ethan only contributes 16 stickers this time. How many skateboard stickers does Sam have now?
Qwen2-Math 72B:
Reasoning: Sam has 75+68 = <<75+68=143>>143 stickers after Zack gives him more. Sam has 143+16 = <<143+16=159>>159 stickers after Ethan gives him more. ### Answer: 159
Expected answer: 159
Correct? Yes
Problem: Samantha has 54 yellow crayons in her art box. Then, her friend Christina gave her 20 more crayons. How many crayons does Samantha have in total?
Qwen2-Math 72B:
Reasoning: Samantha has 54+20 = <<54+20=74>>74 crayons in total. ### Answer: 74
Expected answer: 74
Correct? Yes
Problem: Samantha counts all the crayons in her art box. She realizes that she now has a new total number of crayons due to the 54 yellow ones and the 20 her friend Christina gave her. How many crayons does Samantha have now?
Qwen2-Math 72B:
Reasoning: Samantha has 54+20 = <<54+20=74>>74 crayons now. ### Answer: 74
Expected answer: 74
Correct? Yes
Problem: Suppose Samantha originally had only 3 yellow crayons in her art box instead of 54 before her friend Christina gave her 20 more crayons. How many crayons would Samantha have in that case?
Qwen2-Math 72B:
Reasoning: Samantha has 3+20 = <<3+20=23>>23 crayons in total. ### Answer: 23
Expected answer: 23
Correct? Yes
Problem: In an amusement park, there are 75 people waiting in line to slide down one slide, while 73 people are lined up for another slide. How many total people are waiting to slide down the slides?
Qwen2-Math 72B:
Reasoning: There are 75+73 = <<75+73=148>>148 people waiting to slide down the slides. ### Answer: 148
Expected answer: 148
Correct? Yes
Problem: After recounting, it turns out that there were actually 27 people waiting in line for one slide, not 75, while 73 people are still lined up for the other slide. Now, how many total people are waiting to slide down the slides?
Qwen2-Math 72B:
Reasoning: There are 27+73 = <<27+73=100>>100 people waiting to slide down the slides. ### Answer: 100
Expected answer: 100
Correct? Yes
Problem: A teacher has a classroom of 10 students in the morning and 13 students in the afternoon. The other teacher has 36 students in the morning and 80 in the afternoon. How many students do these teachers teach in total in a day?
Qwen2-Math 72B:
Reasoning: The first teacher teaches 10+13 = <<10+13=23>>23 students in a day. The second teacher teaches 36+80 = <<36+80=116>>116 students in a day. The teachers teach 23+116 = <<23+116=139>>139 students in total in a day. ### Answer: 139
Expected answer: 139
Correct? Yes
Problem: A teacher has a classroom of 10 students in the morning and 13 students in the afternoon. The other teacher has 36 students in the morning and 80 in the afternoon. The school just received a transfer of 85 more students. How many students do these teachers teach in total in a day after the new students arrive?
Qwen2-Math 72B:
Reasoning: The first teacher teaches 10+13 = <<10+13=23>>23 students in a day. The second teacher teaches 36+80 = <<36+80=116>>116 students in a day. The teachers teach 23+116 = <<23+116=139>>139 students in total in a day. After the new students arrive, the teachers teach 139+85 = <<139+85=224>>224 students in total in a day. ### Answer: 224
Expected answer: 224
Correct? Yes
Problem: In the original scenario, one teacher had a classroom of 10 students in the morning and 13 students in the afternoon. But what if there were actually 30 students in the morning instead of 10? The other teacher has 36 students in the morning and 80 in the afternoon, as before. How many students do these teachers teach in total in a day in this new scenario?
Qwen2-Math 72B:
Reasoning: The first teacher teaches 30+13 = <<30+13=43>>43 students in a day. The second teacher teaches 36+80 = <<36+80=116>>116 students in a day. The teachers teach 43+116 = <<43+116=159>>159 students in total in a day. ### Answer: 159
Expected answer: 159
Correct? Yes
Problem: A wizard named Albus needs to perform an enchantment. The enchantment requires 43 units of sage. To make the spell stronger, he also adds a mixture that contains 78 units of elderberry and 85 units of thistle. What is the total amount of ingredients used in the enchantment?
Qwen2-Math 72B:
Reasoning: The total amount of ingredients used in the enchantment is 43+78+85 = <<43+78+85=206>>206 units. ### Answer: 206
Expected answer: 206
Correct? Yes
Problem: Albus, the wizard, realizes he needs to amplify the enchantment even further. He decides to add 67 units of phoenix feather in addition to the sage, elderberry and thistle. Now, what is the total amount of ingredients used in the enchantment?
Qwen2-Math 72B:
Reasoning: The total amount of ingredients used in the enchantment is now 206+67 = <<206+67=273>>273 units. ### Answer: 273
Expected answer: 273
Correct? Yes
Problem: John bought 59 jackets for the winter season. Later, he bought another 22 jackets. Driven by the sale, he also bought 58 jackets with different colors and patterns. How many jackets did John buy in total?
Qwen2-Math 72B:
Reasoning: John bought 59+22 = <<59+22=81>>81 jackets before the sale. John bought 81+58 = <<81+58=139>>139 jackets in total. ### Answer: 139
Expected answer: 139
Correct? Yes
Problem: In the previous question, John had bought a total of 139 jackets. However, his family members also wanted some jackets for themselves. So, he bought an additional 35 jackets for his family. How many jackets did John buy in total now?
Qwen2-Math 72B:
Reasoning: John had bought a total of 139 jackets before buying additional jackets for his family. John bought 139+35 = <<139+35=174>>174 jackets in total now. ### Answer: 174
Expected answer: 174
Correct? Yes
Problem: In the previous scenario, John initially bought 59 jackets. However, let's reconsider that scenario with a slight modification. This time, after buying the initial 59 jackets, John went to another store and bought 83 more jackets. Then, as he was leaving, he noticed a stand with discount jackets and purchased 58 more of them there. How many jackets did John buy in total under these new conditions?
Qwen2-Math 72B:
Reasoning: John initially bought 59 jackets. Then, he bought 83 more jackets at another store, making the total 59 + 83 = <<59+83=142>>142 jackets. Finally, he bought 58 more jackets at the discount stand, making the total 142 + 58 = <<142+58=200>>200 jackets. ### Answer: 200
Expected answer: 200
Correct? Yes
Problem: On Thursday, the city experienced rainfall of about 69mm. On Friday, it rained more with an increase of 31mm compared to the previous day. On Saturday, it poured heavily throughout the day and the city saw 82mm of rain. How much total rainfall did the city experience on Friday and Saturday?
Qwen2-Math 72B:
Reasoning: On Friday, the city experienced 69+31 = <<69+31=100>>100mm of rainfall. On Saturday, the city experienced 82mm of rainfall. The total rainfall on Friday and Saturday was 100+82 = <<100+82=182>>182mm. ### Answer: 182
Expected answer: 182
Correct? Yes
Problem: In the previous problem, we considered an increase in rainfall of 31mm from Thursday to Friday. But what if the increase was less, let's say only 19mm more than Thursday's rainfall of 69mm? Then how much total rainfall did the city experience on Friday and Saturday?
Qwen2-Math 72B:
Reasoning: On Friday, the city experienced 69+19 = <<69+19=88>>88mm of rainfall. On Saturday, the city experienced 82mm of rainfall. The total rainfall on Friday and Saturday was 88+82 = <<88+82=170>>170mm. ### Answer: 170
Expected answer: 170
Correct? Yes
Problem: A penguin named Zazu finds 66 shiny stones. Zazu sees that his friend Umi has found 70 more shiny stones than him. Another friend named Yara tucked away 36 shiny stones in addition to what Umi found. How many shiny stones did Yara find in total?
Qwen2-Math 72B:
Reasoning: Umi found 66+70 = <<66+70=136>>136 shiny stones. Yara found 136+36 = <<136+36=172>>172 shiny stones in total. ### Answer: 172
Expected answer: 172
Correct? Yes
Problem: After all the shiny stones have been counted, a penguin named Dina dives and finds an additional 34 shiny stones. How many shiny stones are there in total now considering Yara's stones and the ones that Dina found?
Qwen2-Math 72B:
Reasoning: There are 172+34 = <<172+34=206>>206 shiny stones in total now considering Yara's stones and the ones that Dina found. ### Answer: 206
Expected answer: 206
Correct? Yes
Problem: Recall from the last time, Zazu found 66 shiny stones initially. Umi found 70 more shiny stones than Zazu. However, now consider that Yara only found 45 shiny stones more than what Umi found, instead of the 36 as previously stated. How many shiny stones did Yara find in this new scenario?
Qwen2-Math 72B:
Reasoning: Umi found 66+70 = <<66+70=136>>136 shiny stones. Yara found 136+45 = <<136+45=181>>181 shiny stones in this new scenario. ### Answer: 181
Expected answer: 181
Correct? Yes
Problem: A river is composed of 77 miles of calm water. A new tributary recently merged and extended the river by an additional 26 miles. Later, a 99-mile rapid water stretch is discovered and added to the river's length. How long is the river in total?
Qwen2-Math 72B:
Reasoning: The river is now 77+26 = <<77+26=103>>103 miles long. The river is now 103+99 = <<103+99=202>>202 miles long. ### Answer: 202
Expected answer: 202
Correct? Yes
Problem: An optical shop manages to sell 44 eyeglasses in the month of May and 84 in the month of June. The total number of glasses sold before May was 77. How many eyeglasses has the shop sold in total?
Qwen2-Math 72B:
Reasoning: The shop sold 77+44 = <<77+44=121>>121 eyeglasses before June. The shop sold 121+84 = <<121+84=205>>205 eyeglasses in total. ### Answer: 205
Expected answer: 205
Correct? Yes
Problem: What if instead of selling 77 eyeglasses before May, they only sold 44 eyeglasses? How many eyeglasses has the shop sold in total then (including sales in May, June, and the first week of July)?
Qwen2-Math 72B:
Reasoning: The shop sold 44+44 = <<44+44=88>>88 eyeglasses before June. The shop sold 88+84 = <<88+84=172>>172 eyeglasses before the first week of July. The shop sold 172+44 = <<172+44=216>>216 eyeglasses in total. ### Answer: 216
Expected answer: 172
Correct? No
Problem: In preparing for a camping trip, a group of friends collected 8 small tents and 88 large tents. They then added 17 medium tents to their collection. Separately, they also managed to gather 77 ground mats for the tents. How many total items including both tents and ground mats did they gather for the camping trip?
Qwen2-Math 72B:
Reasoning: The group collected 8 small tents + 88 large tents + 17 medium tents = <<8+88+17=113>>113 tents. The group collected 113 tents + 77 ground mats = <<113+77=190>>190 items. ### Answer: 190
Expected answer: 190
Correct? Yes
Problem: Now consider this - instead of initially collecting 8 small tents, the group collected 9. They still maintained the same number of large tents at 88 and added 17 medium tents just as before. If they also collected 77 ground mats, how many total items including both tents and ground mats did they gather for the camping trip now?
Qwen2-Math 72B:
Reasoning: The group collected 9 small tents + 88 large tents + 17 medium tents = <<9+88+17=114>>114 tents. The group collected 114 tents + 77 ground mats = <<114+77=191>>191 items. ### Answer: 191
Expected answer: 191
Correct? Yes
Problem: In Lila's vineyard, one grapevine produced 61 grapes while another produced 49 grapes. What is the total number of grapes produced by these two grapevines?
Qwen2-Math 72B:
Reasoning: The total number of grapes produced by these two grapevines is 61+49 = <<61+49=110>>110. ### Answer: 110
Expected answer: 110
Correct? Yes
Problem: In addition to Lila's vineyard, her neighbor also runs a vineyard. This year, the neighbor's vineyard produced 94 grapes. What is the total number of grapes produced by Lila and her neighbor's vineyards combined?
Qwen2-Math 72B:
Reasoning: The total number of grapes produced by Lila and her neighbor's vineyards combined is 110+94 = <<110+94=204>>204. ### Answer: 204
Expected answer: 204
Correct? Yes
Problem: Let's reconsider Lila's vineyard. Suppose one of the grapevines originally produced 50 grapes instead of 61. With the other grapevine still producing 49 grapes, what would then be the total number of grapes produced by these two grapevines?
Qwen2-Math 72B:
Reasoning: The total number of grapes produced by these two grapevines would then be 50+49 = <<50+49=99>>99. ### Answer: 99
Expected answer: 99
Correct? Yes
Problem: Sally is a fashion designer who loves knitting socks. One day, she made 63 colourful pairs of socks. The next day, she decided to add 6 more pairs to her collection. How many pairs of socks does Sally have now?
Qwen2-Math 72B:
Reasoning: Sally made 63 pairs of socks on the first day. She added 6 more pairs on the next day. So, Sally has 63 + 6 = <<63+6=69>>69 pairs of socks now. ### Answer: 69
Expected answer: 69
Correct? Yes
Problem: After knitting her socks, Sally decided to try knitting mittens as well. She found that she really liked it, and she was able to knit 16 pairs of mittens. How many pairs of socks and mittens does Sally have now?
Qwen2-Math 72B:
Reasoning: Sally has 69 pairs of socks. She also has 16 pairs of mittens. So, Sally has 69 + 16 = <<69+16=85>>85 pairs of socks and mittens now. ### Answer: 85
Expected answer: 85
Correct? Yes
Problem: Suppose Sally didn't make 63 pairs of socks, but she actually only made 9 pairs of socks initially. She still added 6 more pairs of socks the next day as she did previously. How many pairs of socks does Sally have now?
Qwen2-Math 72B:
Reasoning: Sally made 9 pairs of socks on the first day. She added 6 more pairs on the next day. So, Sally has 9 + 6 = <<9+6=15>>15 pairs of socks now. ### Answer: 15
Expected answer: 15
Correct? Yes
Problem: Mike is the owner of an aquarium. He added 13 gallons of water to one of his tanks in the morning. Later in the afternoon, he added another 55 gallons to the same tank. Meanwhile, in another tank, he added 57 gallons in the morning and an additional 33 gallons in the afternoon. What is the total quantity of water (in gallons) that Mike added to both of his tanks throughout the day?
Qwen2-Math 72B:
Reasoning: Mike added 13+55 = <<13+55=68>>68 gallons of water to the first tank. Mike added 57+33 = <<57+33=90>>90 gallons of water to the second tank. Mike added 68+90 = <<68+90=158>>158 gallons of water to both of his tanks. ### Answer: 158
Expected answer: 158
Correct? Yes
Problem: Now, imagine that Mike also has a large pond outside his house. In the evening, he decides to refill it and adds 56 gallons of water. Considering all three locations (the two tanks and the pond), how much total water did Mike add throughout the day?
Qwen2-Math 72B:
Reasoning: Mike added 158 gallons of water to both of his tanks. Mike added 56 gallons of water to the pond. Mike added 158+56 = <<158+56=214>>214 gallons of water to all three locations. ### Answer: 214
Expected answer: 214
Correct? Yes
Problem: Let's reconsider the scenario. Instead of adding 55 gallons of water to his first tank, suppose Mike instead adds 96 gallons of water in the afternoon. Given that all other quantities remain the same with 13 gallons added in the morning to the first tank, and the second tank receiving 57 gallons in the morning and an additional 33 gallons in the afternoon, how much total water did Mike add to both tanks throughout the day?
Qwen2-Math 72B:
Reasoning: Mike added 13+96 = <<13+96=109>>109 gallons of water to the first tank. Mike added 57+33 = <<57+33=90>>90 gallons of water to the second tank. Mike added 109+90 = <<109+90=199>>199 gallons of water to both of his tanks. ### Answer: 199
Expected answer: 199
Correct? Yes
Problem: Teddy has a favorite toy which is a tiny teddy bear. One day, Teddy's dad gave him 64 more teddy bears. Teddy's mom, feeling envious, gave Teddy 60 more teddy bears plus the exact number of teddy bears Teddy's dad gave him. At the end of the day, Teddy's grandma surprised him with twice the number of teddy bears his mom gave him. How many teddy bears did Teddy receive from his grandma?
Qwen2-Math 72B:
Reasoning: Teddy's mom gave him 60+64 = <<60+64=124>>124 teddy bears. Teddy's grandma gave him 124*2 = <<124*2=248>>248 teddy bears. ### Answer: 248
Expected answer: 248
Correct? Yes
Problem: Let's imagine that instead of 64 teddy bears, Teddy's dad initially gave him only 30 teddy bears. Teddy's mom, feeling envious as before, gave Teddy 60 more bears plus the exact number of bears Teddy's dad gave him. At the end of the day, Teddy's grandma, wanting to double the joy, surprised him with twice the number of teddy bears his mom gave him. How many teddy bears did Teddy receive from his grandma under this new scenario?
Qwen2-Math 72B:
Reasoning: Teddy's mom gave him 60+30 = <<60+30=90>>90 teddy bears. Teddy's grandma gave him 90*2 = <<90*2=180>>180 teddy bears. ### Answer: 180
Expected answer: 180
Correct? Yes
Problem: In a forest, there are 84 oak trees. If the number of pine trees adds 75 more to the total number of trees, how many trees are there in the forest?
Qwen2-Math 72B:
Reasoning: There are 84+75 = <<84+75=159>>159 pine trees in the forest. There are 84+159 = <<84+159=243>>243 trees in the forest. ### Answer: 243
Expected answer: 159
Correct? No
Problem: In a newly discovered dinosaur park, scientists found 71 Neovenator dinosaurs and 56 Ferrotholus dinosaurs. How many total dinosaurs did they find in all?
Qwen2-Math 72B:
Reasoning: The total number of dinosaurs is the sum of the number of Neovenator dinosaurs and the number of Ferrotholus dinosaurs. Total dinosaurs = 71 + 56 = <<71+56=127>>127 ### Answer: 127
Expected answer: 127
Correct? Yes
Problem: After their initial discovery at the dinosaur park, scientists found another group of dinosaurs which was equal to the total number of Neovenator and Ferrotholus dinosaurs combined. How many dinosaurs did the scientists find in this second group?
Qwen2-Math 72B:
Reasoning: The total number of Neovenator and Ferrotholus dinosaurs is 71 + 56 = <<71+56=127>>127. The number of dinosaurs in the second group is equal to the total number of Neovenator and Ferrotholus dinosaurs, which is 127. ### Answer: 127
Expected answer: 127
Correct? Yes
Problem: In their initial findings, the scientists had made a miscount and actually found 54 Neovenator dinosaurs instead of 71. With the same number of Ferrotholus dinosaurs being 56, what is the corrected total number of dinosaurs they found?
Qwen2-Math 72B:
Reasoning: The corrected total number of dinosaurs is the sum of the corrected number of Neovenator dinosaurs and the number of Ferrotholus dinosaurs. Corrected total dinosaurs = 54 + 56 = <<54+56=110>>110 ### Answer: 110
Expected answer: 110
Correct? Yes
Problem: A boat has traveled 88 miles today. The next day, it travels 92 more miles plus the miles it traveled today. The third day, it travels an additional 61 miles plus the miles it traveled the previous days. How many miles has the boat traveled in these three days?
Qwen2-Math 72B:
Reasoning: The boat travels 88+92 = <<88+92=180>>180 miles in the first two days. The boat travels 180+61 = <<180+61=241>>241 miles in the first three days. ### Answer: 241
Expected answer: 241
Correct? Yes
Problem: After traveling for three days, the boat continues its journey. On the fourth day, it travels an additional 78 miles plus the miles it traveled in the previous three days. How many miles has the boat traveled in total over these four days?
Qwen2-Math 72B:
Reasoning: The boat traveled 241 miles in the first three days. On the fourth day, it travels 241+78 = <<241+78=319>>319 miles. Therefore, the boat has traveled 241+319 = <<241+319=560>>560 miles in total over these four days. ### Answer: 560
Expected answer: 319
Correct? No
Problem: In the previous scenario, suppose that on the second day, the boat had traveled only 37 miles instead of 92, in addition to the miles it traveled on the first day. The boat continued to travel 61 miles plus the previous day's on the third day as before. How many miles has the boat traveled in these three days under this new scenario?
Qwen2-Math 72B:
Reasoning: The boat travels 88+37 = <<88+37=125>>125 miles in the first two days. The boat travels 125+61 = <<125+61=186>>186 miles in the first three days. ### Answer: 186
Expected answer: 186
Correct? Yes
Problem: Sarah has 7 liters of apple juice. She went to the store and bought 69 more liters. How many liters of apple juice does Sarah have now?
Qwen2-Math 72B:
Reasoning: Sarah bought 69 liters of apple juice. Sarah has 7+69 = <<7+69=76>>76 liters of apple juice now. ### Answer: 76
Expected answer: 76
Correct? Yes
Problem: Initially, Sarah thought she had bought only 7 liters of juice, but she realized she had actually bought 55 liters of apple juice. If she still bought an additional 69 liters from the store, how much apple juice does Sarah have in total now?
Qwen2-Math 72B:
Reasoning: Sarah bought 69 liters of apple juice. Sarah has 55+69 = <<55+69=124>>124 liters of apple juice now. ### Answer: 124
Expected answer: 124
Correct? Yes
Problem: Sally is on a mission to build the biggest marshmallow tower. She starts with 83 marshmallows, but then her friend brings an additional 33 marshmallows. How many marshmallows does Sally have now for her tower?
Qwen2-Math 72B:
Reasoning: Sally starts with 83 marshmallows. Her friend brings an additional 33 marshmallows. Sally now has 83 + 33 = <<83+33=116>>116 marshmallows. ### Answer: 116
Expected answer: 116
Correct? Yes
Problem: After Sally counts all her marshmallows, her other friend decides to contribute as well and brings 22 more marshmallows. How many marshmallows does Sally have in total now for her tower?
Qwen2-Math 72B:
Reasoning: Sally has 116 marshmallows. Her other friend brings an additional 22 marshmallows. Sally now has 116 + 22 = <<116+22=138>>138 marshmallows. ### Answer: 138
Expected answer: 138
Correct? Yes
Problem: Suppose Sally started with only 13 marshmallows instead of 83 and then her friend brought the same amount of 33 additional marshmallows. How many marshmallows would Sally have had then for her tower?
Qwen2-Math 72B:
Reasoning: Sally starts with 13 marshmallows. Her friend brings an additional 33 marshmallows. Sally now has 13 + 33 = <<13+33=46>>46 marshmallows. ### Answer: 46
Expected answer: 46
Correct? Yes
Problem: Jenna is a jewelry maker. She currently has 48 earrings in stock. She makes an additional 34 earrings for a special event. After the event, Jenna makes 24 more earrings to replenish her stock. How many earrings does she have in total?
Qwen2-Math 72B:
Reasoning: Jenna makes 34+24 = <<34+24=58>>58 earrings for the special event and to replenish her stock. Jenna has 48+58 = <<48+58=106>>106 earrings in total. ### Answer: 106
Expected answer: 106
Correct? Yes
Problem: After the special event, Jenna decides to replenish her stock by making 94 more earrings instead of the 24 she initially planned. Now, how many earrings does she have on her shelf?
Qwen2-Math 72B:
Reasoning: Jenna makes 34+94 = <<34+94=128>>128 earrings for the special event and to replenish her stock. Jenna has 48+128 = <<48+128=176>>176 earrings on her shelf. ### Answer: 176
Expected answer: 176
Correct? Yes
Problem: In a city, 48 babies were born in March, and in April, another 25 were born. How many babies were born in these two months in total?
Qwen2-Math 72B:
Reasoning: In total, 48+25 = <<48+25=73>>73 babies were born in March and April. ### Answer: 73
Expected answer: 73
Correct? Yes
Problem: In May, the number of babies born matches the total of both March and April. How many babies were born in May?
Qwen2-Math 72B:
Reasoning: In May, the number of babies born is the same as the total of March and April, which is 73. ### Answer: 73
Expected answer: 73
Correct? Yes
Problem: In a rethink, the hospital realized that there were actually 55 babies born in March, not 48. With the 25 born in April, how many babies were born in total over the two months?
Qwen2-Math 72B:
Reasoning: In total, 55+25 = <<55+25=80>>80 babies were born in March and April. ### Answer: 80
Expected answer: 80
Correct? Yes
Problem: At a drum store, there are 52 drum sets on display and 1 more drum set in the store room. In a different section of the same store, there are also 46 single drums. How many total drums and drum sets are in the store?
Qwen2-Math 72B:
Reasoning: There are 52+1 = <<52+1=53>>53 drum sets in the store. There are 53+46 = <<53+46=99>>99 total drums and drum sets in the store. ### Answer: 99
Expected answer: 99
Correct? Yes
Problem: Suppose in the store, instead of having 52 drum sets, there were only 52 single drums, in addition to the 1 drum set in the store room. Given that there are still 46 single drums in a different section, how many drums and drum sets are then in the store?
Qwen2-Math 72B:
Reasoning: There are 52+1 = <<52+1=53>>53 drums in the store. There are 53+46 = <<53+46=99>>99 total drums and drum sets in the store. ### Answer: 99
Expected answer: 99
Correct? Yes
Problem: A store sells 9 boxes of oranges each day. The following day, the seller added 22 more boxes to the total from the previous day. The next day, he added another 26 boxes to that day's total. How many boxes of oranges does the store have on the last day?
Qwen2-Math 72B:
Reasoning: The store has 9+22 = <<9+22=31>>31 boxes of oranges on the second day. The store has 31+26 = <<31+26=57>>57 boxes of oranges on the last day. ### Answer: 57
Expected answer: 57
Correct? Yes
Problem: Following on from the problem with the orange seller: after the seller added 26 boxes to the previous day's total, he decided to get a major shipment of oranges. So, he added an impressive shipment of 96 more boxes to the pile. Now, how many boxes of oranges does the store have?
Qwen2-Math 72B:
Reasoning: The store has 57+96 = <<57+96=153>>153 boxes of oranges after the major shipment. ### Answer: 153
Expected answer: 153
Correct? Yes
Problem: Following on from the previous scenario with the orange seller: suppose that the seller initially had only 9 boxes of orange but on the subsequent day, he added 22 new boxes as before. However, instead of adding 26 boxes to total on the third day this time, he adds 66 boxes. How many boxes of oranges does the store have now?
Qwen2-Math 72B:
Reasoning: The store has 9+22 = <<9+22=31>>31 boxes of oranges on the second day. The store has 31+66 = <<31+66=97>>97 boxes of oranges on the last day. ### Answer: 97
Expected answer: 97
Correct? Yes
Problem: Yvonne has 27 balls in her collection. She went to a fair and won 19 more. How many balls does Yvonne have in her collection now?
Qwen2-Math 72B:
Reasoning: Yvonne has 27+19 = <<27+19=46>>46 balls in her collection now. ### Answer: 46
Expected answer: 46
Correct? Yes
Problem: After donating some of her balls, Yvonne now has 97 balls left in her collection. She goes to another fair and wins 19 more. How many balls does Yvonne have in her collection now?
Qwen2-Math 72B:
Reasoning: Yvonne has 97+19 = <<97+19=116>>116 balls in her collection now. ### Answer: 116
Expected answer: 116
Correct? Yes
Problem: In the sky, a cloud split into 8 small clouds and 13 larger ones. Another cloud split the same way. How many total clouds were formed?
Qwen2-Math 72B:
Reasoning: The first cloud split into 8+13 = <<8+13=21>>21 clouds. Another cloud split the same way, so 21+21 = <<21+21=42>>42 total clouds were formed. ### Answer: 42
Expected answer: 42
Correct? Yes
Problem: After splitting, the original clouds came back together and formed 91 additional smaller clouds. How many total clouds are there now including the additional smaller clouds formed?
Qwen2-Math 72B:
Reasoning: The original clouds split into 42 clouds. The original clouds came back together and formed 91 additional smaller clouds. So, there are 42+91 = <<42+91=133>>133 total clouds now including the additional smaller clouds formed. ### Answer: 133
Expected answer: 133
Correct? Yes
Problem: What if initially, instead of splitting into 8 small clouds, each of the two clouds split into 43 small clouds and kept the 13 larger ones the same? How many total clouds would have formed in that case?
Qwen2-Math 72B:
Reasoning: Each cloud split into 43+13 = <<43+13=56>>56 clouds. Since there were two clouds, 56*2 = <<56*2=112>>112 total clouds would have formed. ### Answer: 112
Expected answer: 112
Correct? Yes
Problem: Oliver recently took up skateboard stunting. He can perform 77 stunts with his skateboard. Now, if he learns to perform each stunt in reverse as well, how many stunts will he be able to perform in total?
Qwen2-Math 72B:
Reasoning: Oliver can perform 77*2 = <<77*2=154>>154 stunts in total. ### Answer: 154
Expected answer: 154
Correct? Yes
Problem: Following his initial success, Oliver spends a few more months and learns 27 additional new skateboard stunts. Now, including his ability to perform the original stunts in reverse, how many skateboard stunts can Oliver perform in total?
Qwen2-Math 72B:
Reasoning: Oliver can perform 154+27 = <<154+27=181>>181 stunts in total. ### Answer: 181
Expected answer: 181
Correct? Yes
Problem: After learning from his experience, Oliver realizes that he initially only needed to learn 61 stunts, as he could perform each stunt in reverse to effectively create a new trick. If he is still able to perform each of these stunts in reverse, how many skateboard stunts can Oliver perform now?
Qwen2-Math 72B:
Reasoning: Oliver can perform 61*2 = <<61*2=122>>122 stunts in total. ### Answer: 122
Expected answer: 122
Correct? Yes
Problem: A pair of binoculars increases visibility by 22 degrees in one direction and 26 degrees in another direction. What is the total increase in the angle of visibility when both directions are considered?
Qwen2-Math 72B:
Reasoning: The total increase in the angle of visibility is 22+26 = <<22+26=48>>48 degrees. ### Answer: 48
Expected answer: 48
Correct? Yes
Problem: Continuing from the previous problem, after the binoculars increase visibility by 22 degrees in one direction and 26 degrees in another direction, an additional lens is added that further increases the visibility by 76 degrees. What is the total increase in the angle of visibility considering all enhancements?
Qwen2-Math 72B:
Reasoning: The total increase in the angle of visibility after adding the additional lens is 48+76 = <<48+76=124>>124 degrees. ### Answer: 124
Expected answer: 124
Correct? Yes
Problem: Continuing from the previous problem, consider that the binoculars initially increased visibility by 14 degrees in one direction instead of 22 degrees, while the increase in the other direction remains 26 degrees. What is the total increase in the angle of visibility now when both directions are considered?
Qwen2-Math 72B:
Reasoning: The total increase in the angle of visibility is now 14+26 = <<14+26=40>>40 degrees. ### Answer: 40
Expected answer: 40
Correct? Yes
Problem: In a galaxy, there are 83 stars in the Great Nebula. Fifty more are spotted in the South Nebula. In the Eastern Nebula, there are 45 stars. How many stars are there in total in the Great Nebula, South Nebula, and Eastern Nebula?
Qwen2-Math 72B:
Reasoning: There are 83+50 = <<83+50=133>>133 stars in the Great Nebula and South Nebula. There are 133+45 = <<133+45=178>>178 stars in total in the Great Nebula, South Nebula, and Eastern Nebula. ### Answer: 178
Expected answer: 178
Correct? Yes
Problem: Following from the previous problem, a recalculation by astronomers reveals that there are actually 32 stars, not 83, in the Great Nebula. Considering this recalculation, with 50 stars still in the South Nebula, and 45 in the Eastern Nebula, how many stars are there now across these three nebulas?
Qwen2-Math 72B:
Reasoning: With the corrected number of stars, there are now 32+50 = <<32+50=82>>82 stars in the Great Nebula and South Nebula. Considering the Eastern Nebula, there are 82+45 = <<82+45=127>>127 stars in total across the three nebulas. ### Answer: 127
Expected answer: 127
Correct? Yes
Problem: A boy has 15 balls. He goes to the store and buys another 22 balls. How many balls does he have now?
Qwen2-Math 72B:
Reasoning: The boy initially has 15 balls. After buying 22 more balls, he has a total of 15 + 22 = <<15+22=37>>37 balls. ### Answer: 37
Expected answer: 37
Correct? Yes
Problem: In addition to the balls he already has, his friends give him 64 more balls for his upcoming birthday. Now, how many balls does the boy have in total?
Qwen2-Math 72B:
Reasoning: The boy initially has 37 balls. After receiving 64 more balls from his friends, he has a total of 37 + 64 = <<37+64=101>>101 balls. ### Answer: 101
Expected answer: 101
Correct? Yes
Problem: Consider instead that the boy originally had 48 balls instead of 15. After buying another 22 balls from the store, how many balls does he have now?
Qwen2-Math 72B:
Reasoning: The boy initially has 48 balls. After buying 22 more balls, he has a total of 48 + 22 = <<48+22=70>>70 balls. ### Answer: 70
Expected answer: 70
Correct? Yes
Problem: Mira has 82 beautiful roses in her garden, and she decides to plant 12 additional daisies to add more variety. How many flowers does Mira have in her garden after planting the daisies?
Qwen2-Math 72B:
Reasoning: Mira initially has 82 roses in her garden. After planting 12 daisies, the total number of flowers in her garden is 82 + 12 = <<82+12=94>>94 flowers. ### Answer: 94
Expected answer: 94
Correct? Yes
Problem: Suppose instead Mira originally had 88 roses in her garden before planting the 12 daisies. How many flowers would there be in Mira's garden then?
Qwen2-Math 72B:
Reasoning: Mira initially has 88 roses in her garden. After planting 12 daisies, the total number of flowers in her garden is 88 + 12 = <<88+12=100>>100 flowers. ### Answer: 100
Expected answer: 100
Correct? Yes
Problem: A jeweler strings together 82 gems to begin making a bracelet. He then adds 79 more gems to it. He finishes off the bracelet by adding 58 more gems. How many gems are there in total on the bracelet?
Qwen2-Math 72B:
Reasoning: The jeweler strings together 82+79 = <<82+79=161>>161 gems to begin making a bracelet and adds 58 more gems to it. There are 161+58 = <<161+58=219>>219 gems in total on the bracelet. ### Answer: 219
Expected answer: 219
Correct? Yes
Problem: Following the previous problem: after the jeweler has strung together the number of gems on the bracelet, he decides to make a matching necklace. He adds another 60 gems to the total number of gems he has already used. How many gems in total did the jeweler use for both the bracelet and the necklace?
Qwen2-Math 72B:
Reasoning: The jeweler adds 60 more gems to the total number of gems he has already used for the bracelet, which is 219 gems. The jeweler used 219+60 = <<219+60=279>>279 gems in total for both the bracelet and the necklace. ### Answer: 279
Expected answer: 279
Correct? Yes
Problem: The jeweler has a change of mind and decides to start recreating the bracelet, but this time he starts with 77 gems instead of 82. He once again adds 79 more gems and completes it by adding 58 more gems. How many gems are now on this new bracelet in total?
Qwen2-Math 72B:
Reasoning: The jeweler strings together 77+79 = <<77+79=156>>156 gems to begin making a bracelet and adds 58 more gems to it. There are 156+58 = <<156+58=214>>214 gems in total on the new bracelet. ### Answer: 214
Expected answer: 214
Correct? Yes
Problem: Dalia has a stock of 65 tomatoes. She decides to buy the same quantity again. How many tomatoes does she have now?
Qwen2-Math 72B:
Reasoning: Dalia has 65+65 = <<65+65=130>>130 tomatoes now. ### Answer: 130
Expected answer: 130
Correct? Yes
Problem: After buying the same quantity of tomatoes again, Dalia decides to buy 50 more from her friend's farm. How many tomatoes does she have in total now?
Qwen2-Math 72B:
Reasoning: Dalia had 130 tomatoes before buying more from her friend's farm. After buying 50 more, she has 130+50 = <<130+50=180>>180 tomatoes in total now. ### Answer: 180
Expected answer: 180
Correct? Yes
Problem: After seeing how her tomato stock fared last time, Dalia decides to start with 89 tomatoes this time. She decides again to buy the same quantity from her supplier. How many tomatoes does she have in stock now?
Qwen2-Math 72B:
Reasoning: Dalia has 89+89 = <<89+89=178>>178 tomatoes now. ### Answer: 178
Expected answer: 178
Correct? Yes
Problem: David has 25 pens in his pencil case. His best friend Pam gives him 34 more pens as a gift. How many pens does David have now?
Qwen2-Math 72B:
Reasoning: David has 25+34 = <<25+34=59>>59 pens now. ### Answer: 59
Expected answer: 59
Correct? Yes
Problem: David decided to count his pens to make sure he knows how many he has. When counting, he realizes he has as many pens as the total of the 25 pens in his pencil case and the 34 pens Pam gave him. How many pens does David count?
Qwen2-Math 72B:
Reasoning: David has 25+34 = <<25+34=59>>59 pens. ### Answer: 59
Expected answer: 59
Correct? Yes
Problem: David rechecks his pencil case and realizes he made a mistake. He actually had 55 pens in his pencil case, not 25. If Pam still gave him 34 pens, how many pens does David have now?
Qwen2-Math 72B:
Reasoning: David has 55+34 = <<55+34=89>>89 pens now. ### Answer: 89
Expected answer: 89
Correct? Yes
Problem: A clothing designer is creating a custom shirt. The length of the shirt is 86 cm. The chest measurement is the length added by 11 cm. The waist measurement is the same as the sum of the two chest measurements. What is the waist measurement of the shirt in cm?
Qwen2-Math 72B:
Reasoning: The chest measurement is 86+11 = <<86+11=97>>97 cm. The waist measurement is 97+97 = <<97+97=194>>194 cm. ### Answer: 194
Expected answer: 194
Correct? Yes
Problem: The clothing designer decides to adjust the shirt after taking the initial measurements. To ensure a comfortable fit, the designer adds a further 9 cm to the final waist measurement, which was the same as the sum of the two chest measurements. What is the new adjusted waist measurement of the shirt in cm?
Qwen2-Math 72B:
Reasoning: The new adjusted waist measurement is 194+9 = <<194+9=203>>203 cm. ### Answer: 203
Expected answer: 203
Correct? Yes
Problem: Recall the clothing designer from before. This time, the designer is creating a shirt with a different length of 99 cm. In this design, the chest measurement is defined as the length added by 11 cm. The waist measurement is set as the sum of the two chest measurements. What is the waist measurement of this new shirt design in cm?
Qwen2-Math 72B:
Reasoning: The chest measurement is 99+11 = <<99+11=110>>110 cm. The waist measurement is 110+110 = <<110+110=220>>220 cm. ### Answer: 220
Expected answer: 220
Correct? Yes
Problem: The computer has an initial operating power of 96 Watts. Later, an update increases the operational power by an additional 84 Watts. What is the computer's operation power after the update?
Qwen2-Math 72B:
Reasoning: The computer's operation power after the update is 96+84 = <<96+84=180>>180 Watts. ### Answer: 180
Expected answer: 180
Correct? Yes
Problem: Suppose that the computer initially had an operating power of 36 Watts instead of 96 Watts. Then, the same update increases the operational power by an additional 84 Watts. How much operation power would the computer have after the update in this scenario?
Qwen2-Math 72B:
Reasoning: The computer's operation power after the update would be 36+84 = <<36+84=120>>120 Watts. ### Answer: 120
Expected answer: 120
Correct? Yes
Problem: A company produces 62 tubes of toothpaste every hour at their plant. Later, the company upgrades their production capacity and is now able to make 40 more tubes every hour. How many tubes of toothpaste can the company produce per hour after the upgrade?
Qwen2-Math 72B:
Reasoning: The company can now produce 62+40 = <<62+40=102>>102 tubes per hour. ### Answer: 102
Expected answer: 102
Correct? Yes
Problem: Suppose the company initially started with a production capacity of 75 tubes of toothpaste every hour instead of 62. After the first upgrade, which still added an additional 40 tubes of toothpaste to their hour production, how many toothpaste tubes can the company produce per hour?
Qwen2-Math 72B:
Reasoning: The company can now produce 75+40 = <<75+40=115>>115 tubes per hour. ### Answer: 115
Expected answer: 115
Correct? Yes
Problem: At the beginning of the month, a penguin had 31 fish. By the middle of the month, he had as many fish as the initial amount plus 31 more. At the end of the month, he had as many fish as the amount he had in the middle of the month and the initial 31 fish. How many fish did the penguin have at the end of the month?
Qwen2-Math 72B:
Reasoning: By the middle of the month, the penguin had 31+31 = <<31+31=62>>62 fish. At the end of the month, he had 62+31 = <<62+31=93>>93 fish. ### Answer: 93
Expected answer: 93
Correct? Yes
Problem: Let's reconsider the original scenario with the penguin. Instead of getting the original 31 extra fish in the middle of the month, the penguin now only gets an additional 21 fish. Using the rest of the fish count as before, how many fish does the penguin have by the end of the month now?
Qwen2-Math 72B:
Reasoning: By the middle of the month, the penguin had 31+21 = <<31+21=52>>52 fish. At the end of the month, he had 52+31 = <<52+31=83>>83 fish. ### Answer: 83
Expected answer: 83
Correct? Yes
Problem: Katie baked 34 cookies in the morning. She baked the same amount in the afternoon. How many cookies did Katie bake in total?
Qwen2-Math 72B:
Reasoning: Katie baked 34+34 = <<34+34=68>>68 cookies in total. ### Answer: 68
Expected answer: 68
Correct? Yes
Problem: Continuing from the previous problem, what if instead of making 34 cookies in the morning and afternoon, Katie actually baked 23 cookies during each time period? How many cookies did she make in total in that case?
Qwen2-Math 72B:
Reasoning: Katie baked 23+23 = <<23+23=46>>46 cookies in total. ### Answer: 46
Expected answer: 46
Correct? Yes
Problem: Emma bought 17 toothbrushes for her family. Her friend Clarissa then gave her an additional sum of 71 and 38 toothbrushes from her dentist's office. How many toothbrushes does Emma have now?
Qwen2-Math 72B:
Reasoning: Emma initially had 17 toothbrushes. Clarissa gave her 71+38 = <<71+38=109>>109 toothbrushes. Emma now has 17+109 = <<17+109=126>>126 toothbrushes. ### Answer: 126
Expected answer: 126
Correct? Yes
Problem: Emma then visited a local health fair where she received an additional 59 toothbrushes to add to her collection. How many toothbrushes does Emma now have in total?
Qwen2-Math 72B:
Reasoning: Emma initially had 126 toothbrushes. She received an additional 59 toothbrushes at the health fair. Emma now has 126+59 = <<126+59=185>>185 toothbrushes. ### Answer: 185
Expected answer: 185
Correct? Yes
Problem: In the previous problem, suppose Emma initially bought 17 toothbrushes. But this time, Clarissa gives her an additional sum of 80 and 38 toothbrushes instead of the previous amount she received. How many toothbrushes does Emma have now?
Qwen2-Math 72B:
Reasoning: Emma initially had 17 toothbrushes. Clarissa gave her 80+38 = <<80+38=118>>118 toothbrushes. Emma now has 17+118 = <<17+118=135>>135 toothbrushes. ### Answer: 135
Expected answer: 135
Correct? Yes
Problem: A frog is sitting on a leaf. The leaf is 31 cm from the ground. The frog jumps and reaches an exact same spot on another leaf. How much distance in centimeters did the frog cover in total?
Qwen2-Math 72B:
Reasoning: The frog covered 31 cm in the first jump and 31 cm in the second jump. The frog covered 31+31 = <<31+31=62>>62 cm in total. ### Answer: 62
Expected answer: 62
Correct? Yes
Problem: After jumping to another leaf, the frog decided to jump again to a flower that is 69 cm above from the ground. Considering the distance the frog covered in his previous jumps, how much distance in centimeters did the frog cover in total?
Qwen2-Math 72B:
Reasoning: The frog covered 69 cm in the third jump. The frog covered 62+69 = <<62+69=131>>131 cm in total. ### Answer: 131
Expected answer: 131
Correct? Yes
Problem: Suppose instead of the initial 31 cm, the leaves were only 20 cm above the ground when the frog first started jumping. Given the same jumps as before, how much distance in centimeters would the frog cover then?
Qwen2-Math 72B:
Reasoning: The frog covered 20 cm in the first jump and 20 cm in the second jump. The frog covered 20+20 = <<20+20=40>>40 cm in total. ### Answer: 40
Expected answer: 40
Correct? Yes
Problem: In a summer vacation assignment, Olivia wrote 70 words on her first day and 23 words on the second day. In addition to this, Isabella wrote 17 words in her assignment. Find the total number of words written by both Olivia and Isabella.
Qwen2-Math 72B:
Reasoning: Olivia wrote 70+23 = <<70+23=93>>93 words in total. Olivia and Isabella wrote 93+17 = <<93+17=110>>110 words altogether. ### Answer: 110
Expected answer: 110
Correct? Yes
Problem: Now imagine that after Olivia and Isabella completed their assignments, Isabella decided to write an additional 17 words. With this additional contribution, what is the total number of words written by both Olivia and Isabella?
Qwen2-Math 72B:
Reasoning: Olivia wrote 70+23 = <<70+23=93>>93 words in total. Olivia and Isabella wrote 93+17 = <<93+17=110>>110 words altogether. Isabella wrote an additional 17 words, so the total number of words written by both Olivia and Isabella is 110+17 = <<110+17=127>>127 words. ### Answer: 127
Expected answer: 127
Correct? Yes
Problem: In the previous scenario, consider now that Olivia initially wrote only 4 words on the first day instead of 70, but still wrote 23 words on the second day. Isabella wrote 17 words as before. Given this, how many total words have Olivia and Isabella written now?
Qwen2-Math 72B:
Reasoning: Olivia wrote 4+23 = <<4+23=27>>27 words in total. Olivia and Isabella wrote 27+17 = <<27+17=44>>44 words altogether. ### Answer: 44
Expected answer: 44
Correct? Yes
Problem: On a morning commute, a bus picks up 48 riders at one stop. At the next stop, it picks up another 18 riders. How many riders are there in all on the bus?
Qwen2-Math 72B:
Reasoning: There are 48+18 = <<48+18=66>>66 riders in all on the bus. ### Answer: 66
Expected answer: 66
Correct? Yes
Problem: After the morning commute, the same bus does an afternoon route. The number of riders it picks up is exactly the same as the morning route. How many riders does the bus pick up in total for both the morning and afternoon routes?
Qwen2-Math 72B:
Reasoning: The bus picks up 66 riders in the morning and 66 riders in the afternoon. The total number of riders for both the morning and afternoon routes is 66+66 = <<66+66=132>>132 riders. ### Answer: 132
Expected answer: 132
Correct? Yes
Problem: In a new scenario, the bus picks up 48 riders on the morning commute, just like before. But this time at the next stop, it picks up 52 more riders. How many riders are there in all on the bus now?
Qwen2-Math 72B:
Reasoning: There are 48+52 = <<48+52=100>>100 riders in all on the bus. ### Answer: 100
Expected answer: 100
Correct? Yes
Problem: Sophia found a box of old trading cards in the attic. She counted 24 of them as baseball cards and 35 as basketball cards. Later on, she discovered 22 more cards from various sports. How many trading cards has Sophia found in total?
Qwen2-Math 72B:
Reasoning: Sophia found 24+35 = <<24+35=59>>59 trading cards from baseball and basketball. Sophia found 59+22 = <<59+22=81>>81 trading cards in total. ### Answer: 81
Expected answer: 81
Correct? Yes
Problem: After Sophia counted 24 baseball cards, 35 basketball cards, and another 22 cards from various sports that she had found in the attic, she remembered her old shoebox full of trading cards under her bed. In the shoebox, she found 45 more cards. How many total trading cards does Sophia have now?
Qwen2-Math 72B:
Reasoning: Sophia found 24+35+22 = <<24+35+22=81>>81 trading cards in the attic. Sophia has 81+45 = <<81+45=126>>126 trading cards in total. ### Answer: 126
Expected answer: 126
Correct? Yes
Problem: Sophia initially found 24 baseball cards and 35 basketball cards in the attic. Later, she discovered 92 more cards, making it a wide variety of sports cards. How many trading cards has Sophia found in total now?
Qwen2-Math 72B:
Reasoning: Sophia found 24+35 = <<24+35=59>>59 trading cards from baseball and basketball. Sophia found 59+92 = <<59+92=151>>151 trading cards in total. ### Answer: 151
Expected answer: 151
Correct? Yes
Problem: For his birthday, Jenny's father receives 16 gifts. Eight more gifts arrive in the mail the next day. In addition, Jenny's dad gets 23 gifts at his office. How many gifts did Jenny's dad receive in total?
Qwen2-Math 72B:
Reasoning: Jenny's father receives 16+8 = <<16+8=24>>24 gifts on his birthday and the next day. Jenny's father receives 24+23 = <<24+23=47>>47 gifts in total. ### Answer: 47
Expected answer: 47
Correct? Yes
Problem: What if Jenny had made a mistake in her original count and her dad actually received 38 gifts initially, not 16? Eight more gifts still arrive in the mail the next day and he still gets the 23 gifts at his office. With these changes, how many gifts did Jenny's dad receive in total now?
Qwen2-Math 72B:
Reasoning: Jenny's father receives 38+8 = <<38+8=46>>46 gifts on his birthday and the next day. Jenny's father receives 46+23 = <<46+23=69>>69 gifts in total. ### Answer: 69
Expected answer: 69
Correct? Yes
Problem: Let's say you have 30 pencils. You bought an exact same amount more. How many pencils do you have now?
Qwen2-Math 72B:
Reasoning: You bought 30 pencils more, so you have 30+30 = <<30+30=60>>60 pencils now. ### Answer: 60
Expected answer: 60
Correct? Yes
Problem: After buying the same amount of additional pencils, you find that your friend has gifted you 15 more pencils. How many pencils do you have in total now?
Qwen2-Math 72B:
Reasoning: You bought 30 pencils more, so you have 30+30 = <<30+30=60>>60 pencils now. You have 60+15 = <<60+15=75>>75 pencils in total now. ### Answer: 75
Expected answer: 75
Correct? Yes
Problem: Let's consider the previous scenario but this time, you initially have 80 pencils instead of 30. If you again bought an exact same amount more, how many pencils would you have now?
Qwen2-Math 72B:
Reasoning: You bought 80 pencils more, so you have 80+80 = <<80+80=160>>160 pencils now. ### Answer: 160
Expected answer: 160
Correct? Yes
Problem: Peter watched 93 minutes of TV in the morning. Later in the evening, he watched another 84 minutes. How many total minutes of TV did Peter watch in a day?
Qwen2-Math 72B:
Reasoning: Peter watched 93+84 = <<93+84=177>>177 minutes of TV in a day. ### Answer: 177
Expected answer: 177
Correct? Yes
Problem: Continuing from the last time, after Peter had watched a total of minutes from morning and the evening, he again watched an additional 92 minutes of TV before his bedtime. How many total minutes of TV did Peter watch now in the whole day?
Qwen2-Math 72B:
Reasoning: Peter watched 177+92 = <<177+92=269>>269 minutes of TV in the whole day. ### Answer: 269
Expected answer: 269
Correct? Yes
Problem: Suppose instead of 93 minutes in the morning, Peter initially watched 83 minutes of TV. He still watched 84 minutes later in the evening. Now, how many total minutes of TV did Peter watch in a day?
Qwen2-Math 72B:
Reasoning: Peter watched 83+84 = <<83+84=167>>167 minutes of TV in a day. ### Answer: 167
Expected answer: 167
Correct? Yes
Problem: Jake has 69 balls. He goes to a store and buys the same amount of balls. How many balls does Jake have now?
Qwen2-Math 72B:
Reasoning: Jake bought 69 balls. Jake has 69+69 = <<69+69=138>>138 balls now. ### Answer: 138
Expected answer: 138
Correct? Yes
Problem: Following up on the previous problem, after Jake buys the same amount of balls from the store, his friend decides to give him an additional 12 balls as a gift. How many balls does Jake have now?
Qwen2-Math 72B:
Reasoning: Jake already has 138 balls. Jake's friend gives him 12 balls. Jake now has 138+12 = <<138+12=150>>150 balls. ### Answer: 150
Expected answer: 150
Correct? Yes
Problem: Continuing from the previous problem, let's say Jake initially bought only 54 balls instead of 69. He still doubles that amount by buying the same number of balls from the store. How many balls would Jake have then?
Qwen2-Math 72B:
Reasoning: Jake bought 54 balls. Jake has 54+54 = <<54+54=108>>108 balls now. ### Answer: 108
Expected answer: 108
Correct? Yes
Problem: A zookeeper takes count of the elephants in the zoo. In the first section, he finds 53 elephants. In the next section, he finds 71 more. On his way out, he realizes that he needs to revisit a previously counted section of 72 elephants. How many elephants did he count altogether?
Qwen2-Math 72B:
Reasoning: The zookeeper counted 53+71 = <<53+71=124>>124 elephants in the first two sections. The zookeeper counted 124+72 = <<124+72=196>>196 elephants altogether. ### Answer: 196
Expected answer: 196
Correct? Yes
Problem: After the zookeeper's day shift, he decides to check the recorded count of the elephants during his night shift. He revisits the first two sections counting 53 and 71 elephants and recounts the same number. He then adds this to his previous total count including the section with the 72 elephants. What is his total count of the elephants now after his night shift?
Qwen2-Math 72B:
Reasoning: The zookeeper counted 53+71 = <<53+71=124>>124 elephants in the first two sections during his night shift. The zookeeper counted 124+124 = <<124+124=248>>248 elephants in the first two sections altogether. The zookeeper counted 248+72 = <<248+72=320>>320 elephants altogether after his night shift. ### Answer: 320
Expected answer: 320
Correct? Yes
Problem: Sally is organizing her wardrobe and she notices she has a total of 7 dresses and 96 skirts. Later, she also finds another 26 shirts. How many total items of clothing does Sally have in her wardrobe?
Qwen2-Math 72B:
Reasoning: Sally has 7+96 = <<7+96=103>>103 dresses and skirts. Sally has 103+26 = <<103+26=129>>129 items of clothing in her wardrobe. ### Answer: 129
Expected answer: 129
Correct? Yes
Problem: After going through her wardrobe again, Sally realizes she actually has 99 skirts instead of 96. Keeping the count of 7 dresses and 26 shirts the same, how many total items of clothing does Sally have in her wardrobe now?
Qwen2-Math 72B:
Reasoning: Sally has 7+99 = <<7+99=106>>106 dresses and skirts. Sally has 106+26 = <<106+26=132>>132 items of clothing in her wardrobe. ### Answer: 132
Expected answer: 132
Correct? Yes
Problem: Sarah has managed to bake 80 sandwiches for the local fundraiser. Later in the day, Kevin, her friend, comes over and makes an additional quantity of sandwiches such that in total, the sandwiches he makes added to Sarah's make up 33 more than the number of sandwiches made by Sarah. How many sandwiches did Kevin make?
Qwen2-Math 72B:
Reasoning: Let's denote the number of sandwiches Kevin made as K. According to the problem, Sarah made 80 sandwiches, and the total number of sandwiches made by Sarah and Kevin is 33 more than the number of sandwiches made by Sarah. Therefore, we can write the equation: 80 + K = 80 + 33. Solving for K, we get K = 33. ### Answer: 33
Expected answer: 113
Correct? No
Problem: Gabriella has 31 grapes. She buys 75 more. John has 64 grapes and decides to add to his pile all the grapes that Gabriella has. How many grapes does John have now?
Qwen2-Math 72B:
Reasoning: Gabriella has 31+75 = <<31+75=106>>106 grapes. John has 64+106 = <<64+106=170>>170 grapes. ### Answer: 170
Expected answer: 170
Correct? Yes
Problem: Instead of buying 75 grapes, what if Gabriella had bought 45 grapes initially. In this scenario, she would start with 31 grapes, then buy an additional 45 grapes, and then John would take his 64 grapes and add all the grapes Gabriella has. How many grapes would John have then?
Qwen2-Math 72B:
Reasoning: Gabriella has 31+45 = <<31+45=76>>76 grapes. John has 64+76 = <<64+76=140>>140 grapes. ### Answer: 140
Expected answer: 140
Correct? Yes
Problem: A queen bee lays 51 eggs and then lays an additional 64 eggs. The worker bees find 53 more eggs in the hive, and then they discover another cache of 79 eggs. How many eggs are in the hive in total?
Qwen2-Math 72B:
Reasoning: The queen bee lays a total of 51+64 = <<51+64=115>>115 eggs. The worker bees find a total of 53+79 = <<53+79=132>>132 eggs. There are 115+132 = <<115+132=247>>247 eggs in the hive in total. ### Answer: 247
Expected answer: 247
Correct? Yes
Problem: Following the discovery of the cache of 79 eggs in the hive, an experienced beekeeper gives the worker bees a batch of 5 eggs from another hive. How many eggs are in the hive now?
Qwen2-Math 72B:
Reasoning: There are 247+5 = <<247+5=252>>252 eggs in the hive now. ### Answer: 252
Expected answer: 252
Correct? Yes
Problem: A fruit vendor sells 68 bananas in a day. Meanwhile, a small market nearby sells 35 bananas during the same day. How many bananas were sold in total that day?
Qwen2-Math 72B:
Reasoning: The total number of bananas sold is 68 + 35 = <<68+35=103>>103. ### Answer: 103
Expected answer: 103
Correct? Yes
Problem: From the bananas sold in a day, a fruit vendor picks up the total number of bananas he and the nearby small market have sold. This number is noted down for record keeping. What is the recorded total number of bananas sold in a day?
Qwen2-Math 72B:
Reasoning: The total number of bananas sold is 68 + 35 = <<68+35=103>>103. ### Answer: 103
Expected answer: 103
Correct? Yes
Problem: Earlier, the fruit vendor sold 68 bananas in a day, but the following day he sells only 49 bananas. The same small market nearby keeps its sales consistent and sells 35 bananas again. How many bananas were sold in total on this new day?
Qwen2-Math 72B:
Reasoning: The total number of bananas sold is 49 + 35 = <<49+35=84>>84. ### Answer: 84
Expected answer: 84
Correct? Yes
Problem: Sam's computer has 23GB of storage space left. After compressing some files, he is able to free up an additional 98GB. How much total storage space does Sam's computer have now?
Qwen2-Math 72B:
Reasoning: Sam's computer has 23+98 = <<23+98=121>>121GB of storage space now. ### Answer: 121
Expected answer: 121
Correct? Yes
Problem: Now, suppose Sam had originally had a total of 96GB of storage space available on his computer instead of 23GB. After compressing the same files, he is still able to free up an additional 98GB. With this scenario, how much total storage space does Sam's computer have now?
Qwen2-Math 72B:
Reasoning: Sam's computer has 96+98 = <<96+98=194>>194GB of storage space now. ### Answer: 194
Expected answer: 194
Correct? Yes
Problem: Frank has a fish farm with 77 fish in one of the tanks. One day, he decides to add an additional 19 fish into the tank. How many fish are there in the tank in total?
Qwen2-Math 72B:
Reasoning: Frank has 77 fish in the tank initially. He adds 19 more fish to the tank. Therefore, the total number of fish in the tank is 77 + 19 = <<77+19=96>>96. ### Answer: 96
Expected answer: 96
Correct? Yes
Problem: Frank continues to grow his fish farm and adds an additional 51 fish into the tank. Now, how many fish are there in the tank in total?
Qwen2-Math 72B:
Reasoning: Frank had 96 fish in the tank initially. He adds 51 more fish to the tank. Therefore, the total number of fish in the tank is 96 + 51 = <<96+51=147>>147. ### Answer: 147
Expected answer: 147
Correct? Yes
Problem: Following up on the previous question, imagine Frank started with a smaller tank that only had 4 fish. He adds the same number of fish as before, an additional 19 into the tank. How many fish are now in that tank in total?
Qwen2-Math 72B:
Reasoning: Frank starts with 4 fish in the tank. He adds 19 more fish to the tank. Therefore, the total number of fish in the tank is 4 + 19 = <<4+19=23>>23. ### Answer: 23
Expected answer: 23
Correct? Yes
Problem: A truck driver starts his journey with 83 gallons of gas in his tank. He stops at the first station and fills up an additional 36 gallons. Then he drives until he needs to refill and adds 99 more gallons. Finally, he stops near his destination and tops off his tank with 7 gallons. How many total gallons of gas did the truck driver use for his journey?
Qwen2-Math 72B:
Reasoning: The truck driver starts with 83 gallons of gas. He adds 36 gallons at the first station, so he has 83+36 = <<83+36=119>>119 gallons. He then adds 99 gallons, so he has 119+99 = <<119+99=218>>218 gallons. Finally, he adds 7 gallons, so he has 218+7 = <<218+7=225>>225 gallons. ### Answer: 225
Expected answer: 225
Correct? Yes
Problem: Instead of topping off his tank with 7 gallons near his destination as in the initial journey, the truck driver decides to fill up 39 gallons this time. With this change, how many total gallons of gas did the truck driver use for his journey?
Qwen2-Math 72B:
Reasoning: The truck driver starts with 83 gallons of gas. He adds 36 gallons at the first station, so he has 83+36 = <<83+36=119>>119 gallons. He then adds 99 gallons, so he has 119+99 = <<119+99=218>>218 gallons. Finally, he adds 39 gallons, so he has 218+39 = <<218+39=257>>257 gallons. ### Answer: 257
Expected answer: 257
Correct? Yes
Problem: Bobby goes to the local park and decides to test how high he can swing on three different swings. On the first swing, he goes 56 feet in the air, then comes back down and goes another 53 feet high. On the second swing, he goes as high as he did on the first one plus an additional 5 feet. On the third swing, he challenges himself and goes as high as he did on the second one plus an additional 34 feet. How high did Bobby swing on the third swing?
Qwen2-Math 72B:
Reasoning: Bobby went 56+53 = <<56+53=109>>109 feet high on the first swing. Bobby went 109+5 = <<109+5=114>>114 feet high on the second swing. Bobby went 114+34 = <<114+34=148>>148 feet high on the third swing. ### Answer: 148
Expected answer: 148
Correct? Yes
Problem: Thrilled with his success on the first three swings, Bobby decides to attempt a final swing. This time, he pushes himself to go as high as he did on the third swing plus an additional 69 feet. How high did Bobby swing on this final powerhouse swing?
Qwen2-Math 72B:
Reasoning: Bobby went 148+69 = <<148+69=217>>217 feet high on the final swing. ### Answer: 217
Expected answer: 217
Correct? Yes
Problem: Bob starts with a wallet containing $88. He finds $40 on the ground and adds it to his wallet. Later, his mom gives him an additional $56 for doing chores. How much money does Bob have in his wallet now?
Qwen2-Math 72B:
Reasoning: Bob initially has $88 in his wallet. After finding $40, he has $88 + $40 = <<88+40=128>>$128. After his mom gives him $56, he has $128 + $56 = <<128+56=184>>$184. ### Answer: $184
Expected answer: 184
Correct? Yes
Problem: In addition to the money Bob has in his wallet, his sister Penny gives him $13 from her piggy bank to help him buy a new game. How much money does Bob have now?
Qwen2-Math 72B:
Reasoning: Bob initially has $184 in his wallet. After Penny gives him $13, he has $184 + $13 = <<184+13=197>>$197. ### Answer: $197
Expected answer: 197
Correct? Yes
Problem: Instead of finding $40 on the ground, Bob initially finds $53. He adds this to his original $88 he had in the wallet, and his mom still gives him an additional $56 for doing chores. How much money does Bob have in his wallet now?
Qwen2-Math 72B:
Reasoning: Bob initially has $88 in his wallet. After finding $53, he has $88 + $53 = <<88+53=141>>$141. After his mom gives him $56, he has $141 + $56 = <<141+56=197>>$197. ### Answer: $197
Expected answer: 197
Correct? Yes
Problem: In a magical wizard world, Eugene the wizard has 98 magic orbs. Merlin, another wizard, has 71 more orbs than Eugene. Damien, a third wizard, has 59 orbs more than Merlin. How many orbs does Damien have?
Qwen2-Math 72B:
Reasoning: Merlin has 98+71 = <<98+71=169>>169 orbs. Damien has 169+59 = <<169+59=228>>228 orbs. ### Answer: 228
Expected answer: 228
Correct? Yes
Problem: In the further adventures of our magical wizards, Gertrude, a wise wizard, acquires 90 orbs more than Damien. How many orbs does Gertrude have now?
Qwen2-Math 72B:
Reasoning: Gertrude has 228+90 = <<228+90=318>>318 orbs. ### Answer: 318
Expected answer: 318
Correct? Yes
Problem: Let's revisit our magical wizards' adventure, but this time, envision Eugene starting off with a different amount of magic orbs. Suppose Eugene initially had only 85 magic orbs instead of 98. Following the same chain of orb-acquiring, with Merlin having 71 more orbs than Eugene and Damien having 59 more orbs than Merlin, how many orbs would Damien have now?
Qwen2-Math 72B:
Reasoning: Merlin has 85+71 = <<85+71=156>>156 orbs. Damien has 156+59 = <<156+59=215>>215 orbs. ### Answer: 215
Expected answer: 215
Correct? Yes
Problem: Emma has 5 dolls. Sophia gives her the same number of dolls as she already has. How many dolls does Emma have now?
Qwen2-Math 72B:
Reasoning: Sophia gives Emma 5 dolls. Emma has 5+5 = <<5+5=10>>10 dolls now. ### Answer: 10
Expected answer: 10
Correct? Yes
Problem: Let's say that instead of starting with 5 dolls, Emma originally had 12 dolls. If Sophia gives her the same number of dolls as she originally had, how many dolls does Emma have now?
Qwen2-Math 72B:
Reasoning: Sophia gives Emma 12 dolls. Emma has 12+12 = <<12+12=24>>24 dolls now. ### Answer: 24
Expected answer: 24
Correct? Yes
Problem: During a chilly winter, Sally makes a hot chocolate recipe that requires 36 spoons of chocolate and 84 spoons of milk. After she adds the chocolate and milk, she also adds 34 spoons of whipped cream. How many total spoons of ingredients does Sally use for her hot chocolate?
Qwen2-Math 72B:
Reasoning: Sally uses 36+84 = <<36+84=120>>120 spoons of chocolate and milk. Sally uses 120+34 = <<120+34=154>>154 spoons of ingredients altogether. ### Answer: 154
Expected answer: 154
Correct? Yes
Problem: Continuing from the previous problem, what if Sally decided to increase her hot chocolate formula by using 64 spoons of chocolate instead of 36, while keeping the amount of milk and whipped cream identical. How many total spoons of ingredients does Sally now use for her hot chocolate recipe?
Qwen2-Math 72B:
Reasoning: Sally uses 64+84 = <<64+84=148>>148 spoons of chocolate and milk. Sally uses 148+34 = <<148+34=182>>182 spoons of ingredients altogether. ### Answer: 182
Expected answer: 182
Correct? Yes
Problem: In a word game, the letter Z is given a score of 3. The score of the letter U is the sum of 31 and the score of Z. What is the score of the letter U?
Qwen2-Math 72B:
Reasoning: The score of the letter U is 31+3 = <<31+3=34>>34. ### Answer: 34
Expected answer: 34
Correct? Yes
Problem: In the same word game, the letter C is assigned a score which is the sum of 69 and the score of U. What is the score of the letter C?
Qwen2-Math 72B:
Reasoning: The score of the letter C is 69+34 = <<69+34=103>>103. ### Answer: 103
Expected answer: 103
Correct? Yes
Problem: Continuing with the same word game, let's change the rule a bit. Now, the letter Z is given a new score of 90. With the rule still in place that the score of the letter U is the sum of 31 and the score of Z, what is the new score of the letter U?
Qwen2-Math 72B:
Reasoning: The score of the letter U is now 31+90 = <<31+90=121>>121. ### Answer: 121
Expected answer: 121
Correct? Yes
Problem: Mathew has 81 ounces of apple juice. He wants to add some orange juice to it. So, he pours in another 99 ounces. After pouring the orange juice, how many ounces of juice does Mathew have overall?
Qwen2-Math 72B:
Reasoning: Mathew has 81+99 = <<81+99=180>>180 ounces of juice overall. ### Answer: 180
Expected answer: 180
Correct? Yes
Problem: Continuing from the last problem - Suppose initially, Mathew only had 17 ounces of apple juice instead of 81 ounces. He still adds 99 ounces of orange juice. With this change, how many ounces of juice does Mathew have now?
Qwen2-Math 72B:
Reasoning: Mathew has 17+99 = <<17+99=116>>116 ounces of juice now. ### Answer: 116
Expected answer: 116
Correct? Yes
Problem: Carla is testing a new feature on her binoculars that allows her to see objects from greater distances. Initially, she sets the view distance at 91 meters. Then, she increases the view distance by 80 more meters. What is the new adjusted viewing distance on her binoculars?
Qwen2-Math 72B:
Reasoning: Carla's new adjusted viewing distance is 91+80 = <<91+80=171>>171 meters. ### Answer: 171
Expected answer: 171
Correct? Yes
Problem: Carla is now even more interested and decides to push her new binoculars to their limits. She decides to add another 92 meters to the viewing distance on her binoculars. After making this additional adjustment, what is the total viewing distance on Carla's binoculars now?
Qwen2-Math 72B:
Reasoning: Carla's new adjusted viewing distance is 171+92 = <<171+92=263>>263 meters. ### Answer: 263
Expected answer: 263
Correct? Yes
Problem: Carla is considering her initial experimental trial with the binoculars. She thinks back to the first time she adjusted the binoculars, but she remembers that she initially set the view distance to 91 meters, but then increased it by 85 meters, not 80. What was the adjusted viewing distance on her binoculars during her initial trial?
Qwen2-Math 72B:
Reasoning: Carla's adjusted viewing distance during her initial trial was 91+85 = <<91+85=176>>176 meters. ### Answer: 176
Expected answer: 176
Correct? Yes
Problem: Bobby has 42 keys. He gets another set of keys that has 56 more than the original set. Bobby also has a keychain that includes both the original set of keys and the new set of keys. How many keys does Bobby have in total?
Qwen2-Math 72B:
Reasoning: Bobby has 42+56 = <<42+56=98>>98 keys in the new set. Bobby has 42+98 = <<42+98=140>>140 keys in total. ### Answer: 140
Expected answer: 140
Correct? Yes
Problem: In the previous scenario, let's suppose Bobby originally had 42 keys, but he instead received an additional set of keys that only had 23 more than the original set. If Bobby's keychain still includes both the original set of keys and this new smaller set of keys, how many keys does Bobby now have in total?
Qwen2-Math 72B:
Reasoning: Bobby has 42+23 = <<42+23=65>>65 keys in the new set. Bobby has 42+65 = <<42+65=107>>107 keys in total. ### Answer: 107
Expected answer: 107
Correct? Yes
Problem: Jordy has 45 carrots. She manages to gather the same amount again from her farm. How many carrots does Jordy have now?
Qwen2-Math 72B:
Reasoning: Jordy has 45+45 = <<45+45=90>>90 carrots now. ### Answer: 90
Expected answer: 90
Correct? Yes
Problem: After gathering the same amount of carrots from her farm, Jordy decides to go to the local market where she buys 4 more carrots. How many carrots does Jordy have now?
Qwen2-Math 72B:
Reasoning: Jordy has 90+4 = <<90+4=94>>94 carrots now. ### Answer: 94
Expected answer: 94
Correct? Yes
Problem: If originally Jordy had started with 14 carrots instead of 45 and she still managed to gather the same amount from her farm, how many carrots would she have then?
Qwen2-Math 72B:
Reasoning: Jordy has 14+14 = <<14+14=28>>28 carrots now. ### Answer: 28
Expected answer: 28
Correct? Yes
Problem: In a painting competition, one artist uses 43 blue strokes and 53 red strokes to complete his painting. Another artist, inspired by the first one, decides to use 67 more strokes in addition to what the first artist used. A third artist doubles the total number of strokes used by the second artist for her painting. How many strokes did the third artist use in her painting?
Qwen2-Math 72B:
Reasoning: The first artist used a total of 43+53 = <<43+53=96>>96 strokes. The second artist used 96+67 = <<96+67=163>>163 strokes. The third artist used 163*2 = <<163*2=326>>326 strokes. ### Answer: 326
Expected answer: 326
Correct? Yes
Problem: Looking at the painting in the gallery, the artist realizes that the painting is not quite balanced. She thinks back to the painting competition, and remembers that if she had originally used 81 blue strokes instead of 53, her painting might have been more harmonious. Keeping all other elements the same, and doubling the total number of strokes for her painting just like before, she wonders how many strokes would there have been in her painting if she had made this change. How many strokes would there have been?
Qwen2-Math 72B:
Reasoning: The artist would have used 81+43 = <<81+43=124>>124 strokes in total. The second artist would have used 124+67 = <<124+67=191>>191 strokes. The third artist would have used 191*2 = <<191*2=382>>382 strokes. ### Answer: 382
Expected answer: 382
Correct? Yes
Problem: You buy 42 ice cream cones for your friends. You then decide to buy the same amount for another group of friends. How many ice cream cones did you buy in total?
Qwen2-Math 72B:
Reasoning: You bought 42 ice cream cones for your first group of friends. You then bought the same amount, 42 ice cream cones, for another group of friends. In total, you bought 42 + 42 = <<42+42=84>>84 ice cream cones. ### Answer: 84
Expected answer: 84
Correct? Yes
Problem: After you've bought ice cream for both groups of friends, another group of 59 friends shows up! You decide you don't want them to feel left out, so you buy ice cream for them too. How many total ice cream cones have you bought?
Qwen2-Math 72B:
Reasoning: You had already bought 84 ice cream cones for the first two groups of friends. Now, you buy 59 more ice cream cones for the third group of friends. In total, you have bought 84 + 59 = <<84+59=143>>143 ice cream cones. ### Answer: 143
Expected answer: 143
Correct? Yes
Problem: Mike's left binocular lens can magnify objects from a distance of 30 miles away, and the right lens can magnify objects that are 56 miles away. He also has a telescope that can magnify objects from a distance of 67 miles away. What is the total distance from which both his binoculars and telescope can magnify objects?
Qwen2-Math 72B:
Reasoning: Mike's left binocular lens can magnify objects from a distance of 30 miles away. Mike's right binocular lens can magnify objects from a distance of 56 miles away. Mike's telescope can magnify objects from a distance of 67 miles away. The total distance from which both his binoculars and telescope can magnify objects is 30+56+67 = <<30+56+67=153>>153 miles. ### Answer: 153
Expected answer: 153
Correct? Yes
Problem: In the previous problem, we considered the distance that Mike's binocular's two lenses can magnify. Consider now that we made a mistake and that the left lens can actually magnify objects from a distance of 54 miles away instead of 30 miles. Keeping the right lense and the telescope the same at 56 and 67 miles respectively, what would be the new total distance from which both his binoculars and telescope can magnify objects?
Qwen2-Math 72B:
Reasoning: Mike's left binocular lens can magnify objects from a distance of 54 miles away. Mike's right binocular lens can magnify objects from a distance of 56 miles away. Mike's telescope can magnify objects from a distance of 67 miles away. The total distance from which both his binoculars and telescope can magnify objects is 54+56+67 = <<54+56+67=177>>177 miles. ### Answer: 177
Expected answer: 177
Correct? Yes
Problem: In the land of the Wizarding World, one wand spells costs 50 magical crystals known as Quiblets. Quintus the wizard adds 5 Quiblets more to this to cast a slightly stronger spell. This amount is then topped up by 25 magical Quiblets to cast the most powerful spell. How many Quiblets does Quintus the wizard need to cast the most powerful spell?
Qwen2-Math 72B:
Reasoning: Quintus adds 5 Quiblets to the original 50 Quiblets, making it 50+5 = <<50+5=55>>55 Quiblets. To cast the most powerful spell, he needs to add 25 more Quiblets, making it 55+25 = <<55+25=80>>80 Quiblets. ### Answer: 80
Expected answer: 80
Correct? Yes
Problem: As an extension to the previous problem, let's say Quintus the wizard then decides to cast an ancient and profound spell. To cast this spell, he needs to gather an additional number of Quiblets equivalent to his most powerful spell, plus 50 more. How many Quiblets does Quintus the wizard need in total to cast this ancient spell?
Qwen2-Math 72B:
Reasoning: Quintus needs 80 Quiblets to cast his most powerful spell. To cast the ancient spell, he needs an additional 80 Quiblets (equivalent to his most powerful spell) plus 50 more, making it 80+50 = <<80+50=130>>130 Quiblets. In total, Quintus needs 80 (for the most powerful spell) + 130 (for the ancient spell) = <<80+130=210>>210 Quiblets. ### Answer: 210
Expected answer: 130
Correct? No
Problem: As a variation to the previous problem, let's say the most powerful spell that Quintus the wizard wants to cast actually requires an additional 87 Quiblets on top of the slightly stronger spell, not just 25. How many Quiblets does he now need to cast this more demanding powerful spell?
Qwen2-Math 72B:
Reasoning: Quintus adds 5 Quiblets to the original 50 Quiblets, making it 50+5 = <<50+5=55>>55 Quiblets. To cast the most powerful spell, he needs to add 87 more Quiblets, making it 55+87 = <<55+87=142>>142 Quiblets. ### Answer: 142
Expected answer: 142
Correct? Yes