Common Core Standard 5.NBT.B.5
This standard covers the following:
Fluently multiply multi-digit whole numbers using the standard algorithm.
Problem: If a clock ticks 225 times per hour, how many times will it tick in 65 hours?
Qwen2-Math 72B:
Reasoning: The clock ticks 225 times per hour. In 65 hours, the clock will tick 225 * 65 = <<225*65=14625>>14,625 times. ### Answer: 14,625
Expected answer: 14625
Correct? Yes
Problem: If the same clock ticks 225 times per hour, how many times will it tick in 37 hours instead of 65 hours?
Qwen2-Math 72B:
Reasoning: The clock ticks 225 times per hour. In 37 hours, the clock will tick 225 * 37 = <<225*37=8325>>8,325 times. ### Answer: 8,325
Expected answer: 8325
Correct? Yes
Problem: A camera shop makes four times more sales in the holiday season. If they usually sell 302 cameras in non-holiday seasons, how many cameras do they sell in the holiday season?
Qwen2-Math 72B:
Reasoning: The camera shop makes 302*4 = <<302*4=1208>>1208 sales in the holiday season. ### Answer: 1208
Expected answer: 1208
Correct? Yes
Problem: A jeweler produces 423 rings each day. After 128 days of production, how many total rings have been produced?
Qwen2-Math 72B:
Reasoning: The total number of rings produced is 423*128 = <<423*128=54144>>54144. ### Answer: 54144
Expected answer: 54144
Correct? Yes
Problem: Suppose the jeweler modifies his production process and now he can produce 713 rings each day instead of 423. After the same 128 days of production, how many total rings have been produced?
Qwen2-Math 72B:
Reasoning: The total number of rings produced is 713*128 = <<713*128=91664>>91664. ### Answer: 91664
Expected answer: 91264
Correct? No
Problem: A chocolate factory produces 3771 chocolate bars in one hour. If the factory operates for 17 hours in a day, how many chocolate bars does it produce in that time?
Qwen2-Math 72B:
Reasoning: The factory produces 3771 chocolate bars in one hour. In 17 hours, the factory produces 3771 * 17 = <<3771*17=64087>>64087 chocolate bars. ### Answer: 64087
Expected answer: 64107
Correct? No
Problem: In a board game, if you earn 3973 points for each card you play and you managed to play 4 cards, how many points have you earned?
Qwen2-Math 72B:
Reasoning: You earned 3973*4 = <<3973*4=15892>>15892 points. ### Answer: 15892
Expected answer: 15892
Correct? Yes
Problem: In the same board game, let's say there was an update and now you earn 1436 points for each card you play. If you played 4 cards with the new rules, how many points have you earned now?
Qwen2-Math 72B:
Reasoning: You earned 1436*4 = <<1436*4=5744>>5744 points. ### Answer: 5744
Expected answer: 5744
Correct? Yes
Problem: A jewelry designer uses 459 small diamonds for each ring she makes. If she decides to make 141 rings, how many diamonds will she need in total?
Qwen2-Math 72B:
Reasoning: To find the total number of diamonds needed, we multiply the number of diamonds per ring by the number of rings. Total diamonds = 459 diamonds/ring * 141 rings = <<459*141=64719>>64,719 diamonds. ### Answer: 64,719
Expected answer: 64719
Correct? Yes
Problem: If the jewelry designer decides to make each ring with only 98 small diamonds instead of 459, how many diamonds will she need in total to make 141 rings?
Qwen2-Math 72B:
Reasoning: To find the total number of diamonds needed, we multiply the number of diamonds per ring by the number of rings. Total diamonds = 98 diamonds/ring * 141 rings = <<98*141=13818>>13,818 diamonds. ### Answer: 13,818
Expected answer: 13818
Correct? Yes
Problem: A famous restaurant sells a popular dish for $20. If they sold 4285 dishes, how much revenue did they generate from this dish alone?
Qwen2-Math 72B:
Reasoning: The revenue generated from selling 4285 dishes at $20 each is calculated as 4285 * 20 = <<4285*20=85700>>85700. ### Answer: 85700
Expected answer: 85700
Correct? Yes
Problem: If the restaurant decided to change the recipe and the new dish was not as popular, selling only 1946 dishes for the same price of $20, how much revenue did the restaurant generate from this new dish?
Qwen2-Math 72B:
Reasoning: The revenue generated from selling 1946 dishes at $20 each is calculated as 1946 * 20 = <<1946*20=38920>>38920. ### Answer: 38920
Expected answer: 38920
Correct? Yes
Problem: A banana plantation produces 5998 bananas per tree. If a farmer has two such trees, how many bananas does the farmer produce from these two trees in total?
Qwen2-Math 72B:
Reasoning: The farmer produces 5998*2 = <<5998*2=11996>>11996 bananas from the two trees in total. ### Answer: 11996
Expected answer: 11996
Correct? Yes
Problem: If instead of 5998 bananas per tree, the farmer's trees were only able to produce 3185 bananas each, how many bananas would the two trees produce together?
Qwen2-Math 72B:
Reasoning: The farmer produces 3185*2 = <<3185*2=6370>>6370 bananas from the two trees in total. ### Answer: 6370
Expected answer: 6370
Correct? Yes
Problem: A skateboard manufacturer uses 14 screws for each skateboard. If they aim to produce 6085 skateboards, how many screws will they need?
Qwen2-Math 72B:
Reasoning: To find the total number of screws needed, we multiply the number of screws per skateboard by the number of skateboards. Total screws = 14 screws/skateboard * 6085 skateboards = <<14*6085=85190>>85190 screws. ### Answer: 85190
Expected answer: 85190
Correct? Yes
Problem: In the previous scenario, if the skateboard manufacturer initially planned to produce only 556 skateboards instead of 6085, how many screws would they need then?
Qwen2-Math 72B:
Reasoning: To find the total number of screws needed for 556 skateboards, we multiply the number of screws per skateboard by the number of skateboards. Total screws = 14 screws/skateboard * 556 skateboards = <<14*556=7784>>7784 screws. ### Answer: 7784
Expected answer: 7784
Correct? Yes
Problem: A water bottle factory produces 8688 bottles every day. If they continue production for a week (7 days), how many bottles would they produce?
Qwen2-Math 72B:
Reasoning: The factory produces 8688 bottles every day. In a week (7 days), the factory would produce 8688 * 7 = <<8688*7=60816>>60816 bottles. ### Answer: 60816
Expected answer: 60816
Correct? Yes
Problem: Suppose the water bottle factory experiences a decrease in productivity and now only produces 2655 bottles each day. If they continue production for a week (7 days), how many bottles would they now produce?
Qwen2-Math 72B:
Reasoning: The factory now produces 2655 bottles every day. In a week (7 days), the factory would produce 2655 * 7 = <<2655*7=18585>>18585 bottles. ### Answer: 18585
Expected answer: 18585
Correct? Yes
Problem: A bicycle company produces 6347 bicycles every month. How many bicycles does the company produce in 11 months?
Qwen2-Math 72B:
Reasoning: The company produces 6347*11 = <<6347*11=69817>>69817 bicycles in 11 months. ### Answer: 69817
Expected answer: 69817
Correct? Yes
Problem: If the same bicycle company instead produced 3054 bicycles every month, how many bicycles would the company then produce in 11 months?
Qwen2-Math 72B:
Reasoning: The company would produce 3054*11 = <<3054*11=33594>>33594 bicycles in 11 months. ### Answer: 33594
Expected answer: 33594
Correct? Yes
Problem: If a baby needs 9932 breaths a day, how many breaths does the baby need in 2 days?
Qwen2-Math 72B:
Reasoning: The baby needs 9932*2 = <<9932*2=19864>>19864 breaths in 2 days. ### Answer: 19864
Expected answer: 19864
Correct? Yes
Problem: If instead, a baby needs 6860 breaths a day, how many breaths would the baby need in 2 days?
Qwen2-Math 72B:
Reasoning: The baby needs 6860*2 = <<6860*2=13720>>13720 breaths in 2 days. ### Answer: 13720
Expected answer: 13720
Correct? Yes
Problem: A playground slide takes 8555 seconds for a child to fully descend. If a child decided to slide down 9 times in a row, how many seconds in total did the child spend sliding?
Qwen2-Math 72B:
Reasoning: The child spent 8555*9 = <<8555*9=76995>>76995 seconds sliding. ### Answer: 76995
Expected answer: 76995
Correct? Yes
Problem: Previously, it took a child 8555 seconds to fully descend a playground slide, and they decided to go down 9 times. Now, imagine the child goes to a different playground, where the slide takes 9780 seconds to fully descend. If the child decides to slide down the same slide 9 times, how many seconds will they spend on this new slide?
Qwen2-Math 72B:
Reasoning: The child spent 9780*9 = <<9780*9=88020>>88020 seconds sliding. ### Answer: 88020
Expected answer: 88020
Correct? Yes
Problem: A slide's length is measured and found to be 631 inches. If this length was increased by a factor of 36, how long would the slide be now?
Qwen2-Math 72B:
Reasoning: The slide's length would be 631 * 36 = <<631*36=22716>>22716 inches. ### Answer: 22716
Expected answer: 22716
Correct? Yes
Problem: If instead the original length of the slide was 2148 inches, what would be the new length of the slide after it was increased by a factor of 36?
Qwen2-Math 72B:
Reasoning: The new length of the slide would be 2148 * 36 = <<2148*36=77328>>77328 inches. ### Answer: 77328
Expected answer: 77328
Correct? Yes
Problem: A toy factory produces 480 stuffed animals every hour. If they operate for 197 hours, how many stuffed animals would they have produced?
Qwen2-Math 72B:
Reasoning: The factory produces 480 stuffed animals per hour. Over 197 hours, they would produce 480 * 197 = <<480*197=94560>>94,560 stuffed animals. ### Answer: 94,560
Expected answer: 94560
Correct? Yes
Problem: Suppose the toy factory increases their production and makes 452 stuffed animals every hour instead of 480. If they still operate for 197 hours, how many stuffed animals would they now produce?
Qwen2-Math 72B:
Reasoning: The factory now produces 452 stuffed animals per hour. Over 197 hours, they would produce 452 * 197 = <<452*197=89044>>89,044 stuffed animals. ### Answer: 89,044
Expected answer: 89044
Correct? Yes
Problem: A carpenter is tasked to make 77 doors for a new building. Each door requires 1209 work units to complete. What is the total number of work units required to make all the doors?
Qwen2-Math 72B:
Reasoning: To find the total number of work units required, we multiply the number of doors by the work units per door. Total work units = 77 doors * 1209 work units/door = <<77*1209=92993>>92993 work units. ### Answer: 92993
Expected answer: 93093
Correct? No
Problem: A farmer collected 2473 tomatoes from each tomato plant. If the farmer has 23 tomato plants, how many tomatoes did the farmer collect in total?
Qwen2-Math 72B:
Reasoning: The farmer collected 2473*23 = <<2473*23=56879>>56879 tomatoes in total. ### Answer: 56879
Expected answer: 56879
Correct? Yes
Problem: Consider now that the farmer collected 4156 tomatoes from each tomato plant instead of 2473. If the farmer still has 23 tomato plants, how many tomatoes did the farmer collect now?
Qwen2-Math 72B:
Reasoning: The farmer collected 4156*23 = <<4156*23=95588>>95588 tomatoes in total. ### Answer: 95588
Expected answer: 95588
Correct? Yes
Problem: A store sells 699 pairs of pants each day. If the store is open 51 days in two months, how many pants do they sell in two months?
Qwen2-Math 72B:
Reasoning: The store sells 699*51 = <<699*51=35649>>35649 pairs of pants in two months. ### Answer: 35649
Expected answer: 35649
Correct? Yes
Problem: Due to a rise in popularity, the pants store began selling 1462 pairs of pants each day. Keeping the same 51 days open in two months as before, how many pants would they sell in those two months now?
Qwen2-Math 72B:
Reasoning: The store sells 1462*51 = <<1462*51=74562>>74562 pairs of pants in two months. ### Answer: 74562
Expected answer: 74562
Correct? Yes
Problem: If you multiply the number 3639 by 10, what result do you get?
Qwen2-Math 72B:
Reasoning: Multiplying a number by 10 means adding a zero at the end of the number. 3639 * 10 = <<3639*10=36390>>36390 ### Answer: 36390
Expected answer: 36390
Correct? Yes
Problem: If you multiply the number 7033 by 10 instead of 3639, what result do you get?
Qwen2-Math 72B:
Reasoning: Multiplying a number by 10 means adding a zero at the end of the number. 7033 * 10 = <<7033*10=70330>>70330 ### Answer: 70330
Expected answer: 70330
Correct? Yes
Problem: A convenience store sells packs of keys with each pack containing 6314 keys. If they just sold 14 packs, how many keys have they sold in total?
Qwen2-Math 72B:
Reasoning: The convenience store sold 6314*14 = <<6314*14=88396>>88396 keys in total. ### Answer: 88396
Expected answer: 88396
Correct? Yes
Problem: The convenience store later decided to sell the packs of keys which each pack containing 4352 keys instead of 6314. If they then sold 14 packs, how many keys have they sold from these smaller packs?
Qwen2-Math 72B:
Reasoning: The convenience store sold 4352*14 = <<4352*14=60928>>60928 keys in total. ### Answer: 60928
Expected answer: 60928
Correct? Yes
Problem: In a sandbox game, a player needs 149 units of sand to build a castle. If they build 478 castles, how many units of sand did they use in total?
Qwen2-Math 72B:
Reasoning: To find the total units of sand used, we multiply the number of castles by the units of sand needed for each castle. Total units of sand used = 478 castles * 149 units/castle = <<478*149=71222>>71,222 units. ### Answer: 71,222
Expected answer: 71222
Correct? Yes
Problem: A single colony of bees can produce 7364 grams of honey a day. If a beekeeper allows the bees to collect nectar and produce honey for 10 days, how many grams of honey does the colony produce?
Qwen2-Math 72B:
Reasoning: The colony produces 7364 grams of honey a day. The colony produces 7364*10 = <<7364*10=73640>>73640 grams of honey in 10 days. ### Answer: 73640
Expected answer: 73640
Correct? Yes
Problem: Suppose instead of 7364 grams of honey a day, a single colony of bees can actually produce 9201 grams of honey a day. If the beekeeper still allows the bees to collect nectar and produce honey for 10 days, how many grams of honey does the colony produce now?
Qwen2-Math 72B:
Reasoning: The colony produces 9201 grams of honey a day. The colony produces 9201*10 = <<9201*10=92010>>92010 grams of honey in 10 days. ### Answer: 92010
Expected answer: 92010
Correct? Yes
Problem: A factory manufactures 591 pairs of ice skates in a day. If they operate for 3 days straight, how many pairs of ice skates do they produce?
Qwen2-Math 72B:
Reasoning: The factory manufactures 591*3 = <<591*3=1773>>1773 pairs of ice skates in 3 days. ### Answer: 1773
Expected answer: 1773
Correct? Yes
Problem: They now intend to increase their production and manufacture 1924 pairs of ice skates in a day. If they operate for the same 3 days, how many pairs of ice skates will they produce then?
Qwen2-Math 72B:
Reasoning: The factory manufactures 1924*3 = <<1924*3=5772>>5772 pairs of ice skates in 3 days. ### Answer: 5772
Expected answer: 5772
Correct? Yes
Problem: A certain region has 1381 species of frogs. If each species has an average of 18 unique characteristics, how many unique characteristics can be found across all frog species in the region?
Qwen2-Math 72B:
Reasoning: To find the total number of unique characteristics across all frog species, we multiply the number of species by the average number of unique characteristics per species. Total unique characteristics = 1381 species * 18 characteristics/species = <<1381*18=24858>>24858 characteristics. ### Answer: 24858
Expected answer: 24858
Correct? Yes
Problem: The researchers realized they made an error and there are actually 878 species of frogs in the region instead of 1381. How many unique characteristics are there across all species of frogs in the region when considering this new number?
Qwen2-Math 72B:
Reasoning: To find the total number of unique characteristics across all frog species, we multiply the number of species by the average number of unique characteristics per species. Total unique characteristics = 878 species * 18 characteristics/species = <<878*18=15804>>15804 characteristics. ### Answer: 15804
Expected answer: 15804
Correct? Yes
Problem: A pirate treasure chest contains 935 gold coins. If there were 93 identical treasure chests, how many gold coins would there be in total?
Qwen2-Math 72B:
Reasoning: There are 935 coins in each chest, so there are 935*93 = <<935*93=86955>>86955 coins in total. ### Answer: 86955
Expected answer: 86955
Correct? Yes
Problem: In the previous scenario, suppose that instead of 935 gold coins, each treasure chest contained 692 gold coins. How many gold coins would there be in total if there were still 93 identical treasure chests?
Qwen2-Math 72B:
Reasoning: There are 692 coins in each chest, so there are 692*93 = <<692*93=64476>>64476 coins in total. ### Answer: 64476
Expected answer: 64356
Correct? No
Problem: A bed manufacturing company produces 4838 beds in a day. If the company operates 6 days a week, how many beds does it produce in a week?
Qwen2-Math 72B:
Reasoning: The company produces 4838*6 = <<4838*6=29028>>29028 beds in a week. ### Answer: 29028
Expected answer: 29028
Correct? Yes
Problem: Suppose the bed manufacturing company improves its production capabilities and can now produce 7776 beds in a day. Given that the company still operates 6 days a week, how many beds would it be able to produce in a week with this new production rate?
Qwen2-Math 72B:
Reasoning: The company produces 7776*6 = <<7776*6=46656>>46656 beds in a week. ### Answer: 46656
Expected answer: 46656
Correct? Yes
Problem: A designer needs 806 yards of fabric to make one dress. If they want to make 3 dresses, how many yards of fabric do they need in total?
Qwen2-Math 72B:
Reasoning: To find the total fabric needed, we multiply the fabric needed for one dress by the number of dresses. Total fabric needed = 806 yards/dress * 3 dresses = <<806*3=2418>>2418 yards ### Answer: 2418
Expected answer: 2418
Correct? Yes
Problem: The designer now aims to make a more complex dress design that requires 7411 yards of fabric for one dress. If they want to make 3 of these dresses, how many yards of fabric will they need?
Qwen2-Math 72B:
Reasoning: To find the total fabric needed, we multiply the fabric needed for one dress by the number of dresses. Total fabric needed = 7411 yards/dress * 3 dresses = <<7411*3=22233>>22233 yards ### Answer: 22233
Expected answer: 22233
Correct? Yes
Problem: An astronaut at a space station on a long-duration mission takes 1907 breaths per hour. Find out the total number of breaths he takes in a day (24 hours).
Qwen2-Math 72B:
Reasoning: The astronaut takes 1907 breaths per hour. In a day (24 hours), the astronaut takes 1907 * 24 = <<1907*24=45768>>45768 breaths. ### Answer: 45768
Expected answer: 45768
Correct? Yes
Problem: In the same scenario, if the astronaut instead takes 169 breaths per hour, how many breaths would he take in a day (24 hours)?
Qwen2-Math 72B:
Reasoning: The astronaut takes 169 breaths per hour. In a day (24 hours), the astronaut takes 169 * 24 = <<169*24=4056>>4056 breaths. ### Answer: 4056
Expected answer: 4056
Correct? Yes
Problem: If you earned 817 dollars every week for 109 weeks, how much money would you have earned in total?
Qwen2-Math 72B:
Reasoning: To find the total amount of money earned, we need to multiply the weekly earnings by the number of weeks. Total earnings = 817 dollars/week * 109 weeks = <<817*109=89053>>89053 dollars ### Answer: 89053
Expected answer: 89053
Correct? Yes
Problem: If instead you earned 597 dollars every week for the same period of 109 weeks, how much money would you have earned in total?
Qwen2-Math 72B:
Reasoning: To find the total amount of money earned, we need to multiply the weekly earnings by the number of weeks. Total earnings = 597 dollars/week * 109 weeks = <<597*109=65073>>65073 dollars ### Answer: 65073
Expected answer: 65073
Correct? Yes
Problem: A sandwich shop sells 832 sandwiches each day. How many sandwiches do they sell in 103 days?
Qwen2-Math 72B:
Reasoning: The sandwich shop sells 832 sandwiches each day. In 103 days, they sell 832 * 103 = <<832*103=85696>>85,696 sandwiches. ### Answer: 85,696
Expected answer: 85696
Correct? Yes
Problem: If the sandwich shop decided to limit their daily sales and only sold 832 sandwiches for 15 days instead of 103 days, how many sandwiches would it sell in that newly restricted time frame?
Qwen2-Math 72B:
Reasoning: The sandwich shop sells 832 sandwiches each day. In 15 days, they sell 832 * 15 = <<832*15=12480>>12,480 sandwiches. ### Answer: 12,480
Expected answer: 12480
Correct? Yes
Problem: If one monkey can peel 1416 bananas in one hour, how many bananas would ten monkeys be able to peel in the same amount of time?
Qwen2-Math 72B:
Reasoning: If one monkey can peel 1416 bananas in one hour, then ten monkeys can peel 1416*10 = <<1416*10=14160>>14160 bananas in the same amount of time. ### Answer: 14160
Expected answer: 14160
Correct? Yes
Problem: If each of the same ten monkeys from the previous question could peel 4876 bananas in an hour instead, how many bananas could they peel in total?
Qwen2-Math 72B:
Reasoning: If each monkey can peel 4876 bananas in an hour, then ten monkeys can peel 4876*10 = <<4876*10=48760>>48760 bananas in the same amount of time. ### Answer: 48760
Expected answer: 48760
Correct? Yes
Problem: A dragon has 9996 scales on one side of its body. If the dragon has scales on both sides and the tail with the same amount, a total of 5 parts. How many scales does the dragon have in total?
Qwen2-Math 72B:
Reasoning: The dragon has 9996*2 = <<9996*2=19992>>19992 scales on both sides of its body. The dragon has 19992*5 = <<19992*5=99960>>99960 scales in total. ### Answer: 99960
Expected answer: 49980
Correct? No
Problem: A sunglasses manufacturer makes 456 pairs of sunglasses per day. If there is a continuous production for 89 days, how many pairs of sunglasses did the manufacturer produce?
Qwen2-Math 72B:
Reasoning: The manufacturer produced 456*89 = <<456*89=40584>>40584 pairs of sunglasses. ### Answer: 40584
Expected answer: 40584
Correct? Yes
Problem: Suppose that due to a shortage in material, the sunglasses manufacturer can now only make 188 pairs of sunglasses per day. If there is still a continuous production for 89 days, how many pairs of sunglasses will the manufacturer produce now under these new conditions?
Qwen2-Math 72B:
Reasoning: The manufacturer will produce 188*89 = <<188*89=16732>>16732 pairs of sunglasses. ### Answer: 16732
Expected answer: 16732
Correct? Yes
Problem: A doctor has 19 patients in a day and each visit lasts 1943 seconds. How much time in seconds does the doctor spend seeing patients in one day?
Qwen2-Math 72B:
Reasoning: The doctor spends 1943*19 = <<1943*19=36917>>36917 seconds seeing patients in one day. ### Answer: 36917
Expected answer: 36917
Correct? Yes
Problem: If instead of 1943 seconds, each patient's visit lasts 2822 seconds, how much time in seconds does the doctor spend seeing patients in one day?
Qwen2-Math 72B:
Reasoning: The doctor spends 2822*19 = <<2822*19=53618>>53618 seconds seeing patients in one day. ### Answer: 53618
Expected answer: 53618
Correct? Yes
Problem: A farmer has 600 apple trees in his farm. Each apple tree produces 123 apples in a fruiting season. How many apples does the farmer get in one season?
Qwen2-Math 72B:
Reasoning: The farmer gets 600*123 = <<600*123=73800>>73800 apples in one season. ### Answer: 73800
Expected answer: 73800
Correct? Yes
Problem: The same farmer decided to plant 519 pear trees on a different part of his farm. If each pear tree produces 123 pears in a fruiting season, how many pears does the farmer get in one season?
Qwen2-Math 72B:
Reasoning: The farmer gets 519*123 = <<519*123=64037>>64037 pears in one season. ### Answer: 64037
Expected answer: 63837
Correct? No
Problem: A giraffe spends approximately 15 hours a day eating. If a single hour of eating requires them to consume 5490 leaves, how many leaves will a giraffe eat in one day?
Qwen2-Math 72B:
Reasoning: A giraffe will eat 15*5490 = <<15*5490=82350>>82350 leaves in one day. ### Answer: 82350
Expected answer: 82350
Correct? Yes
Problem: A marshmallow company can produce 4116 marshmallows in one hour. If the company operates for 3 hours, how many marshmallows will they produce?
Qwen2-Math 72B:
Reasoning: The marshmallow company produces 4116 marshmallows in one hour. In 3 hours, the company will produce 4116 * 3 = <<4116*3=12348>>12348 marshmallows. ### Answer: 12348
Expected answer: 12348
Correct? Yes
Problem: The marshmallow company found a way to increase their production to 4432 marshmallows in one hour. If the company still operates for 3 hours, how many marshmallows will they now produce?
Qwen2-Math 72B:
Reasoning: The marshmallow company now produces 4432 marshmallows in one hour. In 3 hours, the company will produce 4432 * 3 = <<4432*3=13296>>13296 marshmallows. ### Answer: 13296
Expected answer: 13296
Correct? Yes
Problem: Each cloud in a particular region weighs an average of 2885 kg. If there are about 29 of such clouds in the sky at once, how much total weight do they represent?
Qwen2-Math 72B:
Reasoning: The total weight of the clouds is 2885 * 29 = <<2885*29=83665>>83665 kg. ### Answer: 83665
Expected answer: 83665
Correct? Yes
Problem: Each cloud in a particular region originally was thought to weigh an average of 2885 kg. New data corrected this estimate to an average weight of 1926 kg per cloud. If there are still about 29 such clouds in the sky at once, how much total weight do they now represent?
Qwen2-Math 72B:
Reasoning: The total weight of the clouds is 1926 * 29 = <<1926*29=55854>>55854 kg. ### Answer: 55854
Expected answer: 55854
Correct? Yes
Problem: In a fairyland, a fairy can spread magic dust 43 times a day. Each time, she uses up 2230 tiny sparkling magic dust particles. How many particles does she use up in one day?
Qwen2-Math 72B:
Reasoning: The fairy uses up 43*2230 = <<43*2230=95890>>95890 tiny sparkling magic dust particles in one day. ### Answer: 95890
Expected answer: 95890
Correct? Yes
Problem: A camera making factory produces 2818 cameras in a day. If the factory operates for 27 days, how many cameras were produced in the 27 days?
Qwen2-Math 72B:
Reasoning: The factory produces 2818 cameras in a day. In 27 days, the factory produces 2818 * 27 = <<2818*27=76086>>76086 cameras. ### Answer: 76086
Expected answer: 76086
Correct? Yes
Problem: Suppose that the camera factory had difficulty in sourcing components and was only able to produce 2795 cameras in a day instead of 2818. If the factory still operates for 27 days, how many cameras will then be produced in these 27 days?
Qwen2-Math 72B:
Reasoning: The factory produces 2795 cameras in a day. In 27 days, the factory produces 2795 * 27 = <<2795*27=75465>>75465 cameras. ### Answer: 75465
Expected answer: 75465
Correct? Yes
Problem: On a wildlife reservation, there are 177 elephants. Each elephant consumes 326 kg of food each day. How many kilograms of food do the elephants consume in total in a single day?
Qwen2-Math 72B:
Reasoning: The elephants consume 177*326 = <<177*326=57702>>57702 kg of food in total in a single day. ### Answer: 57702
Expected answer: 57702
Correct? Yes
Problem: If instead, each elephant consumes 127 kg of food each day, how many kilograms of food do the elephants consume in total in a single day?
Qwen2-Math 72B:
Reasoning: The elephants consume 177*127 = <<177*127=22479>>22479 kg of food in total in a single day. ### Answer: 22479
Expected answer: 22479
Correct? Yes
Problem: A cloud can hold about 1800 liters of water per cubic meter. If a certain cloud has an approximate volume of 20 cubic meters, how many liters of water can this cloud hold?
Qwen2-Math 72B:
Reasoning: The cloud can hold 1800*20 = <<1800*20=36000>>36000 liters of water. ### Answer: 36000
Expected answer: 36000
Correct? Yes
Problem: Assuming the same cloud from the previous problem now holds only about 830 liters of water per cubic meter. How many liters of water would this cloud hold with the same volume of 20 cubic meters?
Qwen2-Math 72B:
Reasoning: The cloud can hold 830*20 = <<830*20=16600>>16600 liters of water. ### Answer: 16600
Expected answer: 16600
Correct? Yes
Problem: A bakery sells each cake for $1562. If they sold 43 cakes in a day, how much did they earn?
Qwen2-Math 72B:
Reasoning: The bakery earned 1562*43 = <<1562*43=67166>>67166 dollars. ### Answer: 67166
Expected answer: 67166
Correct? Yes
Problem: In the same bakery, there is another kind of cake that sells for $527. If they also managed to sell 43 of these cakes in a day, how much would they make from these cakes?
Qwen2-Math 72B:
Reasoning: The bakery earned 527*43 = <<527*43=22661>>22661 dollars. ### Answer: 22661
Expected answer: 22661
Correct? Yes
Problem: A particular kind of balloon can lift 34 grams. If a large experiment requires 2452 of these balloons to lift it, how many grams can the experiment weigh in total?
Qwen2-Math 72B:
Reasoning: The experiment can weigh 34*2452 = <<34*2452=83368>>83368 grams in total. ### Answer: 83368
Expected answer: 83368
Correct? Yes
Problem: In a similar scenario, if a smaller experiment only requires 2257 of these balloons to lift it instead, how many grams can this smaller experiment weigh in total?
Qwen2-Math 72B:
Reasoning: The smaller experiment can weigh 34*2257 = <<34*2257=76738>>76738 grams in total. ### Answer: 76738
Expected answer: 76738
Correct? Yes
Problem: A roller skate manufacturing company machines 6857 sets of wheels per day. If the full production run lasted for 10 days, how many sets of wheels were made?
Qwen2-Math 72B:
Reasoning: The company machines 6857 sets of wheels per day. Over 10 days, the company machines 6857 * 10 = <<6857*10=68570>>68570 sets of wheels. ### Answer: 68570
Expected answer: 68570
Correct? Yes
Problem: If instead the roller skate manufacturing company produced 4400 sets of wheels per day and continued this for 10 days, how many sets of wheels were made under this new condition?
Qwen2-Math 72B:
Reasoning: The company machines 4400 sets of wheels per day. Over 10 days, the company machines 4400 * 10 = <<4400*10=44000>>44000 sets of wheels. ### Answer: 44000
Expected answer: 44000
Correct? Yes
Problem: A designer jacket maker produces 25 jackets per day. If he continues this production rate for 1333 days, how many jackets would he have produced in total?
Qwen2-Math 72B:
Reasoning: The designer jacket maker produces 25 jackets per day. Over 1333 days, he would have produced 25 * 1333 = <<25*1333=33325>>33,325 jackets. ### Answer: 33,325
Expected answer: 33325
Correct? Yes
Problem: If instead of 1333 days, the designer jacket maker continued his production rate of 25 jackets per day over 2353 days, how many jackets would he have produced then?
Qwen2-Math 72B:
Reasoning: The designer jacket maker produces 25 jackets per day. Over 2353 days, he would have produced 25 * 2353 = <<25*2353=58825>>58,825 jackets. ### Answer: 58,825
Expected answer: 58825
Correct? Yes
Problem: A factory can produce 46 bottles per minute. If it runs continuously for 1337 minutes, how many bottles are produced in total?
Qwen2-Math 72B:
Reasoning: The factory produces 46 bottles per minute. In 1337 minutes, the factory produces 46 * 1337 = <<46*1337=61402>>61402 bottles. ### Answer: 61402
Expected answer: 61502
Correct? No
Problem: A hat company manufactures an average of 694 hats each day. After keeping the machines running for 107 continuous days, how many hats were produced?
Qwen2-Math 72B:
Reasoning: The hat company manufactures 694 hats each day. After 107 days, the hat company produced 694*107 = <<694*107=74258>>74258 hats. ### Answer: 74258
Expected answer: 74258
Correct? Yes
Problem: Suppose the hat company had a slightly lower daily average, only manufacturing 554 hats each day instead of 694. If they kept the machines running for the same period of 107 days, how many hats were produced now?
Qwen2-Math 72B:
Reasoning: The hat company manufactures 554 hats each day. After 107 days, the hat company produced 554*107 = <<554*107=59278>>59278 hats. ### Answer: 59278
Expected answer: 59278
Correct? Yes
Problem: A farmer grows 31 cucumbers each day. After 2955 days, how many cucumbers has the farmer grown?
Qwen2-Math 72B:
Reasoning: The farmer grows 31 cucumbers each day. After 2955 days, the farmer has grown 31*2955 = <<31*2955=91605>>91605 cucumbers. ### Answer: 91605
Expected answer: 91605
Correct? Yes
Problem: If the farmer instead grows 469 cucumbers each day, how many cucumbers will he have grown after 31 days?
Qwen2-Math 72B:
Reasoning: The farmer grows 469 cucumbers each day. After 31 days, the farmer has grown 469*31 = <<469*31=14539>>14539 cucumbers. ### Answer: 14539
Expected answer: 14539
Correct? Yes
Problem: A grape vine produces 10 bunches of grapes in a day. If each bunch of grapes sells for 715 dollars, how much worth of grapes does a vine produce each day?
Qwen2-Math 72B:
Reasoning: The vine produces 10 bunches of grapes in a day, and each bunch sells for 715 dollars. Therefore, the total worth of grapes produced by the vine each day is 10 * 715 = <<10*715=7150>>7150 dollars. ### Answer: 7150
Expected answer: 7150
Correct? Yes
Problem: A plane flies at a speed of 850 kilometers per hour. If it flies continuously for 109 hours, how many kilometers will it have flown?
Qwen2-Math 72B:
Reasoning: The plane flies at a speed of 850 kilometers per hour. The plane flies continuously for 109 hours. The distance the plane will have flown is 850 * 109 = <<850*109=92650>>92650 kilometers. ### Answer: 92650
Expected answer: 92650
Correct? Yes
Problem: If the plane was flying at a slower speed of 43 kilometers per hour instead of 850 kilometers per hour. How many kilometers would the plane have flown now after 109 hours?
Qwen2-Math 72B:
Reasoning: The plane flies at a speed of 43 kilometers per hour. The plane flies continuously for 109 hours. The distance the plane will have flown is 43 * 109 = <<43*109=4687>>4687 kilometers. ### Answer: 4687
Expected answer: 4687
Correct? Yes
Problem: An ice skate store sold 548 pairs of ice skates each week. If ice skating season lasts 179 weeks, how many pairs of ice skates did the store sell in total during that time?
Qwen2-Math 72B:
Reasoning: The store sold 548*179 = <<548*179=98092>>98092 pairs of ice skates in total during that time. ### Answer: 98092
Expected answer: 98092
Correct? Yes
Problem: If the same ice skate store only sold 548 pairs of ice skates for 148 weeks instead of 179 weeks, how many pairs of ice skates did the store sell in total during that time?
Qwen2-Math 72B:
Reasoning: The store sold 548*148 = <<548*148=81104>>81104 pairs of ice skates in total during that time. ### Answer: 81104
Expected answer: 81104
Correct? Yes
Problem: A flower shop sells an exotic flower for 2293 dollars. If they sold 37 of these flowers, how much did they earn in total?
Qwen2-Math 72B:
Reasoning: The flower shop earned 2293*37 = <<2293*37=84841>>84841 dollars in total. ### Answer: 84841
Expected answer: 84841
Correct? Yes
Problem: A pirate ship has 475 crew members, each having their personal 89 gold coins stash. How many gold coins are there in total on the pirate ship?
Qwen2-Math 72B:
Reasoning: There are 475*89 = <<475*89=42275>>42275 gold coins on the pirate ship. ### Answer: 42275
Expected answer: 42275
Correct? Yes
Problem: Suppose the pirate ship only had 103 crew members, each still having their personal stash of 89 gold coins. How many gold coins would there be in total on the pirate ship in this scenario?
Qwen2-Math 72B:
Reasoning: There would be 103*89 = <<103*89=9167>>9167 gold coins on the pirate ship. ### Answer: 9167
Expected answer: 9167
Correct? Yes
Problem: A hat shop sells 159 hats each week. In one year, which is 369 weeks, how many hats are sold in total?
Qwen2-Math 72B:
Reasoning: The total number of hats sold in one year is 159*369 = <<159*369=58671>>58671. ### Answer: 58671
Expected answer: 58671
Correct? Yes
Problem: Imagine the same hat shop increases its weekly sales to 239 hats. Then, how many hats would the shop sell in one year, given each year contains 369 weeks?
Qwen2-Math 72B:
Reasoning: The total number of hats sold in one year is 239*369 = <<239*369=88291>>88291. ### Answer: 88291
Expected answer: 88191
Correct? No
Problem: A pirate ship can carry 8690 pounds of gold. If the ship is carrying 2 loads of gold on their trip, how much total weight of gold does the ship have?
Qwen2-Math 72B:
Reasoning: The ship is carrying 2 loads of gold, so the total weight of gold is 2 * 8690 = <<2*8690=17380>>17380 pounds. ### Answer: 17380
Expected answer: 17380
Correct? Yes
Problem: In a subsequent trip, the pirate ship is only able to carry 3457 pounds of gold per load instead of the usual 8690. If the ship is still carrying 2 loads of gold, how much total weight of gold does the ship have now?
Qwen2-Math 72B:
Reasoning: The ship is carrying 2 loads of gold, so the total weight of gold is 2 * 3457 = <<2*3457=6914>>6914 pounds. ### Answer: 6914
Expected answer: 6914
Correct? Yes
Problem: A library has 20 shelves and each shelf can hold 3909 books. How many books can the library hold in total?
Qwen2-Math 72B:
Reasoning: The library can hold 20*3909 = <<20*3909=78180>>78180 books in total. ### Answer: 78180
Expected answer: 78180
Correct? Yes
Problem: If the library was remodeled and now only has the capacity to hold 1920 books per shelf instead of 3909 books, how many books can the library hold in total with 20 shelves?
Qwen2-Math 72B:
Reasoning: The library can hold 1920*20 = <<1920*20=38400>>38400 books in total. ### Answer: 38400
Expected answer: 38400
Correct? Yes
Problem: Each superhero action figure comes in a set of 4. If there are 8193 of these sets, how many individual superhero action figures do we have in total?
Qwen2-Math 72B:
Reasoning: Each set contains 4 superhero action figures. Therefore, the total number of superhero action figures is 8193 * 4 = <<8193*4=32772>>32772. ### Answer: 32772
Expected answer: 32772
Correct? Yes
Problem: If in reality, each superhero action figure comes in a set of 4 but there are only 3706 sets, how many individual superhero action figures do we have in total now?
Qwen2-Math 72B:
Reasoning: Each set contains 4 superhero action figures. Therefore, the total number of superhero action figures is 3706 * 4 = <<3706*4=14824>>14824. ### Answer: 14824
Expected answer: 14824
Correct? Yes
Problem: A farmer has 177 plots of land, each of which yields 380 carrots. How many carrots does the farmer harvest in total?
Qwen2-Math 72B:
Reasoning: The farmer harvests 177*380 = <<177*380=67260>>67260 carrots in total. ### Answer: 67260
Expected answer: 67260
Correct? Yes
Problem: Suppose the farmer planted an additional kind of carrot on 220 plots of land, each of which yielded 380 carrots. How many of these additional kinds of carrots would the farmer harvest in total?
Qwen2-Math 72B:
Reasoning: The farmer harvests 220*380 = <<220*380=83600>>83600 carrots in total. ### Answer: 83600
Expected answer: 83600
Correct? Yes
Problem: A wizard casts a spell that yields 2009 magical orbs. If he cast this spell 4 times, how many magical orbs did he produce in total?
Qwen2-Math 72B:
Reasoning: The wizard produces 2009 orbs each time he casts the spell. If he casts the spell 4 times, he produces 2009*4 = <<2009*4=8036>>8036 orbs in total. ### Answer: 8036
Expected answer: 8036
Correct? Yes
Problem: In a different magical scenario, the wizard casts a similar spell, but this time it only yields 2769 magical orbs. If he cast this reduced orb spell four times, how many magical orbs did he produce in total?
Qwen2-Math 72B:
Reasoning: The wizard produces 2769 orbs each time he casts the reduced orb spell. If he casts the spell 4 times, he produces 2769*4 = <<2769*4=11076>>11076 orbs in total. ### Answer: 11076
Expected answer: 11076
Correct? Yes
Problem: A helicopter can cover 2265 miles in a day. How many miles can it cover in 28 days?
Qwen2-Math 72B:
Reasoning: The helicopter can cover 2265 miles in a day. In 28 days, it can cover 2265 * 28 = <<2265*28=63420>>63420 miles. ### Answer: 63420
Expected answer: 63420
Correct? Yes
Problem: If the same helicopter could only cover 1060 miles in a day instead of 2265 miles, how many miles could it cover in 28 days?
Qwen2-Math 72B:
Reasoning: The helicopter can cover 1060 miles in a day. In 28 days, it can cover 1060 * 28 = <<1060*28=29680>>29680 miles. ### Answer: 29680
Expected answer: 29680
Correct? Yes
Problem: A jewelry maker uses 1516 beads to create one necklace. If he made 51 necklaces, how many beads did he use in total?
Qwen2-Math 72B:
Reasoning: The jewelry maker used 1516*51 = <<1516*51=77316>>77316 beads in total. ### Answer: 77316
Expected answer: 77316
Correct? Yes
Problem: If the jewelry maker decided to simplify his necklace design and now only used 1196 beads to create one necklace instead of 1516, how many beads would he use if he still made 51 necklaces?
Qwen2-Math 72B:
Reasoning: The jewelry maker would use 1196*51 = <<1196*51=61096>>61096 beads in total. ### Answer: 61096
Expected answer: 60996
Correct? No
Problem: A teacher has decided to use a new teaching method where every student must tackle a bundle of 425 tasks independently. If the teacher has 116 students in their class, how many tasks in total will these students be completing?
Qwen2-Math 72B:
Reasoning: The total number of tasks completed by the students is 425*116 = <<425*116=49300>>49300. ### Answer: 49300
Expected answer: 49300
Correct? Yes
Problem: The teacher decided to expand the task bundle for every student to 725 tasks instead of 425. If the teacher still has 116 students in their class, how many tasks in total will these students be completing now?
Qwen2-Math 72B:
Reasoning: The total number of tasks completed by the students is 725*116 = <<725*116=84100>>84100. ### Answer: 84100
Expected answer: 84100
Correct? Yes
Problem: A farmer's yield is 72 cucumbers per plant. If the farmer has 255 plants, how many cucumbers does he yield altogether?
Qwen2-Math 72B:
Reasoning: The farmer yields 72*255 = <<72*255=18360>>18360 cucumbers altogether. ### Answer: 18360
Expected answer: 18360
Correct? Yes
Problem: If each plant instead produced a yield of 203 cucumbers, how many cucumbers would the farmer yield from his 255 plants?
Qwen2-Math 72B:
Reasoning: The farmer yields 203*255 = <<203*255=51765>>51765 cucumbers altogether. ### Answer: 51765
Expected answer: 51765
Correct? Yes
Problem: In a fireplace shop, each fireplace costs $1047. If they sell 84 fireplaces, how much money does the shop make?
Qwen2-Math 72B:
Reasoning: The shop makes $1047 * 84 = <<1047*84=87948>>87948 dollars. ### Answer: 87948
Expected answer: 87948
Correct? Yes
Problem: In the same fireplace shop, they decide to reduce the price of each fireplace to $944. If they still sell 84 fireplaces, how much money does the shop make now?
Qwen2-Math 72B:
Reasoning: The shop now makes $944 * 84 = <<944*84=79296>>79296 dollars. ### Answer: 79296
Expected answer: 79296
Correct? Yes
Problem: A snail travels at a speed of 1681 millimeters per hour. If it continues moving for 37 hours, how many millimeters will it travel?
Qwen2-Math 72B:
Reasoning: The snail travels at a speed of 1681 millimeters per hour. In 37 hours, the snail will travel 1681 * 37 = <<1681*37=62197>>62197 millimeters. ### Answer: 62197
Expected answer: 62197
Correct? Yes
Problem: If that same snail were to travel at a slightly slower speed of 1208 millimeters per hour instead, how many millimeters would it travel after moving for the same 37 hours?
Qwen2-Math 72B:
Reasoning: The snail travels at a speed of 1208 millimeters per hour. In 37 hours, the snail will travel 1208 * 37 = <<1208*37=44696>>44696 millimeters. ### Answer: 44696
Expected answer: 44696
Correct? Yes
Problem: A pencil maker has 9658 pencils. If the pencil maker decides to distribute them evenly over 1 store, how many pencils will that store receive?
Qwen2-Math 72B:
Reasoning: The store will receive 9658/1 = <<9658/1=9658>>9658 pencils. ### Answer: 9658
Expected answer: 9658
Correct? Yes
Problem: Instead of 9658 pencils, suppose the pencil maker originally had 7883 pencils. If the pencil maker decides to distribute them evenly over 1 store, how many pencils will that store now receive?
Qwen2-Math 72B:
Reasoning: The store will receive 7883/1 = <<7883/1=7883>>7883 pencils. ### Answer: 7883
Expected answer: 7883
Correct? Yes
Problem: A bead shop sells individual beads for making necklaces. Each bead costs 1056 dollars and a designer buys 37 of them for a fancy necklace. How much does she spend on beads?
Qwen2-Math 72B:
Reasoning: The designer spends 1056*37 = <<1056*37=38976>>38976 dollars on beads. ### Answer: 38976
Expected answer: 39072
Correct? No
Problem: A group of penguins usually eats an average of 19 kg of fish per day. If this continuous for 3327 days, then what's the total amount of fish that the group would consume?
Qwen2-Math 72B:
Reasoning: The group of penguins would consume 19*3327 = <<19*3327=63213>>63213 kg of fish. ### Answer: 63213
Expected answer: 63213
Correct? Yes
Problem: Suppose instead of 3327 days, the group of penguins continues eating an average of 19 kg of fish per day for a period of 2351 days. In that case, what would be the total amount of fish that the group would consume?
Qwen2-Math 72B:
Reasoning: The group of penguins would consume 19*2351 = <<19*2351=44669>>44669 kg of fish. ### Answer: 44669
Expected answer: 44669
Correct? Yes
Problem: A juice company sells 2921 crates of juice each day. If a crate contains 25 juice packs, how many packs of juice does the company sell each day?
Qwen2-Math 72B:
Reasoning: The company sells 2921*25 = <<2921*25=73025>>73025 packs of juice each day. ### Answer: 73025
Expected answer: 73025
Correct? Yes
Problem: If the juice company changed the packaging such that a crate now contains only 1345 juice packs instead of 2921, how many juice packs would the company sell each day if they still sold 25 crates a day?
Qwen2-Math 72B:
Reasoning: The company would sell 1345*25 = <<1345*25=33625>>33625 juice packs each day. ### Answer: 33625
Expected answer: 33625
Correct? Yes
Problem: A furniture factory can produce 6287 tables in a week. If they maintain their current production rate, how many tables will they produce in 3 weeks?
Qwen2-Math 72B:
Reasoning: The factory produces 6287 tables in a week. In 3 weeks, they will produce 6287 * 3 = <<6287*3=18861>>18861 tables. ### Answer: 18861
Expected answer: 18861
Correct? Yes
Problem: If the furniture factory could only produce 2093 tables a week instead of 6287, how many tables would they make in 3 weeks at this decreased production rate?
Qwen2-Math 72B:
Reasoning: The factory produces 2093 tables in a week. In 3 weeks, they will produce 2093 * 3 = <<2093*3=6279>>6279 tables. ### Answer: 6279
Expected answer: 6279
Correct? Yes
Problem: A sock production factory has the capacity to produce 869 socks in an hour. If they operate 31 hours in a row, how many socks do they produce in total during that period?
Qwen2-Math 72B:
Reasoning: The factory produces 869 socks per hour. Over 31 hours, the total production is 869 * 31 = <<869*31=26939>>26,939 socks. ### Answer: 26,939
Expected answer: 26939
Correct? Yes
Problem: A rainbow was said to occur 1347 times in a year in a particular area. If 22 years have passed since the record was kept, how many times has the rainbow been spotted in those years?
Qwen2-Math 72B:
Reasoning: The rainbow was spotted 1347*22 = <<1347*22=29634>>29634 times in those years. ### Answer: 29634
Expected answer: 29634
Correct? Yes
Problem: Instead, consider that the rainbow was actually seen 1661 times a year. In that case, how many times would the rainbow have been spotted in those 22 years?
Qwen2-Math 72B:
Reasoning: The rainbow was spotted 1661*22 = <<1661*22=36542>>36542 times in those years. ### Answer: 36542
Expected answer: 36542
Correct? Yes
Problem: A certain cloud formation can hold 1859 gallons of water per square mile. If the cloud was spread out over 10 square miles, how much water could it hold?
Qwen2-Math 72B:
Reasoning: The cloud could hold 1859*10 = <<1859*10=18590>>18590 gallons of water. ### Answer: 18590
Expected answer: 18590
Correct? Yes
Problem: Suppose the cloud formation from the previous problem turned out to be a bit larger, and is instead spread over 2622 square miles. If it still retains the same holding capacity of 10 gallons per square mile, how much water could this larger cloud formation hold now?
Qwen2-Math 72B:
Reasoning: The cloud formation could hold 10*2622 = <<10*2622=26220>>26220 gallons of water. ### Answer: 26220
Expected answer: 26220
Correct? Yes
Problem: A card shop sells a pack of cards for 439 dollars. If they sell 79 packs, how much revenue will they earn?
Qwen2-Math 72B:
Reasoning: The card shop will earn 439*79 = <<439*79=34681>>34681 dollars. ### Answer: 34681
Expected answer: 34681
Correct? Yes
Problem: The card shop decided to lower the price of a pack of cards to 326 dollars. If they still sell 79 packs of cards, how much revenue will they earn now?
Qwen2-Math 72B:
Reasoning: The card shop will now earn 326*79 = <<326*79=25754>>25754 dollars. ### Answer: 25754
Expected answer: 25754
Correct? Yes
Problem: A jungle gym manufacturer uses 1429 bolts for each jungle gym they build. If they built 47 jungle gyms, how many bolts did they use in total?
Qwen2-Math 72B:
Reasoning: The manufacturer uses 1429 bolts for each jungle gym. To find the total number of bolts used, we multiply the number of bolts per jungle gym by the number of jungle gyms built. Total bolts used = 1429 bolts/jungle gym * 47 jungle gyms = <<1429*47=67163>>67163 bolts. ### Answer: 67163
Expected answer: 67163
Correct? Yes
Problem: If the jungle gym manufacturer decided to make a smaller model that only requires 385 bolts, and they built 47 of these smaller jungle gyms, how many bolts did they use in total?
Qwen2-Math 72B:
Reasoning: The manufacturer uses 385 bolts for each smaller jungle gym. To find the total number of bolts used, we multiply the number of bolts per smaller jungle gym by the number of smaller jungle gyms built. Total bolts used = 385 bolts/smaller jungle gym * 47 smaller jungle gyms = <<385*47=18095>>18095 bolts. ### Answer: 18095
Expected answer: 18095
Correct? Yes
Problem: A backpack company sells backpacks in bundles of 1283. If a big school orders 64 bundles, how many backpacks does the school order in total?
Qwen2-Math 72B:
Reasoning: The school orders 1283*64 = <<1283*64=82072>>82072 backpacks in total. ### Answer: 82072
Expected answer: 82112
Correct? No
Problem: A farmer produces 3813 pounds of grain each month. If they continue this production for 6 months, how many pounds of grain will they have produced?
Qwen2-Math 72B:
Reasoning: The farmer produces 3813 pounds of grain each month. Over 6 months, the farmer will produce 3813 * 6 = <<3813*6=22878>>22878 pounds of grain. ### Answer: 22878
Expected answer: 22878
Correct? Yes
Problem: A jeweler makes 158 pairs of earrings each day. If she works 142 days a year, how many pairs of earrings does she make in a year?
Qwen2-Math 72B:
Reasoning: The jeweler makes 158*142 = <<158*142=22436>>22436 pairs of earrings in a year. ### Answer: 22436
Expected answer: 22436
Correct? Yes
Problem: After reviewing her productivity, the jeweler decides to limit her daily output to maintain the quality of her work. If she now only produces 36 pairs of earrings each day, but still works the same 142 days a year, how many pairs of earrings will she produce in a year under this new regimen?
Qwen2-Math 72B:
Reasoning: Under the new regimen, the jeweler will produce 36*142 = <<36*142=5112>>5112 pairs of earrings in a year. ### Answer: 5112
Expected answer: 5112
Correct? Yes
Problem: A manufacturer can make 48 wallets in one hour. If they worked for 1244 hours straight without any breaks, how many wallets could they make?
Qwen2-Math 72B:
Reasoning: The manufacturer can make 48*1244 = <<48*1244=60072>>60072 wallets in 1244 hours. ### Answer: 60072
Expected answer: 59712
Correct? No
Problem: A new phone model sells for $3915 each. If a store sells 15 of these phones, how much revenue does the store generate from them?
Qwen2-Math 72B:
Reasoning: The store generates $3915 * 15 = <<3915*15=58725>>$58725 from selling 15 phones. ### Answer: $58725
Expected answer: 58725
Correct? Yes
Problem: A caterer needs 40 grams of sugar to bake one cookie. If they need to bake 985 cookies for an event, how much sugar will they need in grams?
Qwen2-Math 72B:
Reasoning: To find the total amount of sugar needed, we multiply the amount of sugar needed for one cookie by the number of cookies to be baked. Total sugar needed = 40 grams/cookie * 985 cookies = <<40*985=39400>>39,400 grams ### Answer: 39,400 grams
Expected answer: 39400
Correct? Yes
Problem: The caterer has received another order, this time for 838 cookies. If they still need 40 grams of sugar per cookie, how much sugar will they need for the new order?
Qwen2-Math 72B:
Reasoning: To find the total amount of sugar needed for the new order, we multiply the amount of sugar needed for one cookie by the number of cookies to be baked. Total sugar needed = 40 grams/cookie * 838 cookies = <<40*838=33520>>33,520 grams ### Answer: 33,520 grams
Expected answer: 33520
Correct? Yes
Problem: A park has 4798 trees. If each tree produces 11 pounds of oxygen per year, how much oxygen does the park produce in a year?
Qwen2-Math 72B:
Reasoning: The park produces 4798*11 = <<4798*11=52778>>52778 pounds of oxygen per year. ### Answer: 52778
Expected answer: 52778
Correct? Yes
Problem: If instead the park had 8165 trees and each tree continues to produce 11 pounds of oxygen per year, how much oxygen would the park produce in a year?
Qwen2-Math 72B:
Reasoning: The park would produce 8165*11 = <<8165*11=89815>>89815 pounds of oxygen per year. ### Answer: 89815
Expected answer: 89815
Correct? Yes
Problem: A juice company produces 2146 bottles of juice daily. If they are able to keep up this production rate for 46 days, how many bottles do they produce in that time?
Qwen2-Math 72B:
Reasoning: The company produces 2146 bottles of juice daily. In 46 days, they produce 2146 * 46 = <<2146*46=98616>>98616 bottles. ### Answer: 98616
Expected answer: 98716
Correct? No
Problem: A helicopter is equipped with 10 fuel tanks. Each of these tanks can hold 4366 liters of fuel. When fully loaded, how much fuel does the helicopter hold?
Qwen2-Math 72B:
Reasoning: The helicopter can hold 10*4366 = <<10*4366=43660>>43660 liters of fuel. ### Answer: 43660
Expected answer: 43660
Correct? Yes
Problem: A school bus can carry 637 students. If there are 148 school buses, how many students can all of the school buses carry in total?
Qwen2-Math 72B:
Reasoning: If each school bus can carry 637 students, then 148 school buses can carry 637*148 = <<637*148=94276>>94276 students in total. ### Answer: 94276
Expected answer: 94276
Correct? Yes
Problem: If each school bus could instead carry 595 students, how many students could all 148 school buses carry in total now?
Qwen2-Math 72B:
Reasoning: If each school bus can carry 595 students, then 148 school buses can carry 595*148 = <<595*148=88060>>88060 students in total. ### Answer: 88060
Expected answer: 88060
Correct? Yes
Problem: A jacket designer pays $480 to create each prototype. If the designer made 121 prototypes before finalizing the design, how much total did she spend on creating the prototypes?
Qwen2-Math 72B:
Reasoning: The designer spent $480 * 121 = <<480*121=58080>>$58,080 on creating the prototypes. ### Answer: $58,080
Expected answer: 58080
Correct? Yes
Problem: Following the same jacket designer, she realized that she could reduce her prototype costs to $158 per prototype. If she still made 121 prototypes, how much total would she spend on creating the prototypes with this reduced cost?
Qwen2-Math 72B:
Reasoning: With the reduced cost, the designer would spend $158 * 121 = <<158*121=19118>>$19,118 on creating the prototypes. ### Answer: $19,118
Expected answer: 19118
Correct? Yes
Problem: In a skating equipment store, they sell ice skates for $106 each. On a particularly successful day, the store sells 406 pairs of ice skates. How much money does the store make from selling ice skates on that day?
Qwen2-Math 72B:
Reasoning: The store makes 106*406 = <<106*406=43036>>43036 dollars from selling ice skates on that day. ### Answer: 43036
Expected answer: 43036
Correct? Yes
Problem: On another exceptionally busy day at the skating equipment store, sales are even higher with 757 pairs of ice skates sold. At the same price of $106 each, how much money does the store make from selling ice skates on this second day?
Qwen2-Math 72B:
Reasoning: The store makes 106*757 = <<106*757=79942>>79942 dollars from selling ice skates on this second day. ### Answer: 79942
Expected answer: 80242
Correct? No
Problem: The sun emits 133 units of light energy every second. If the energy is measured over a period of 61 seconds, how much energy does the sun emit in that time?
Qwen2-Math 72B:
Reasoning: The sun emits 133*61 = <<133*61=8113>>8113 units of light energy in 61 seconds. ### Answer: 8113
Expected answer: 8113
Correct? Yes
Problem: If instead of 61 seconds, the sun's emitted energy is measured over 150 seconds, how much light energy does the sun emit in that duration?
Qwen2-Math 72B:
Reasoning: The sun emits 133*150 = <<133*150=19950>>19950 units of light energy in 150 seconds. ### Answer: 19950
Expected answer: 19950
Correct? Yes
Problem: A farmer has 8714 chickens and each of them lays 5 eggs every day. How many eggs are laid by all the chickens in a day?
Qwen2-Math 72B:
Reasoning: The farmer has 8714 chickens and each lays 5 eggs every day, so the total number of eggs laid in a day is 8714*5 = <<8714*5=43570>>43570. ### Answer: 43570
Expected answer: 43570
Correct? Yes
Problem: Now consider that the farmer only has 4714 chickens instead of 8714. Assuming each chicken still lays 5 eggs every day, how many eggs are laid by all the chickens in a day now?
Qwen2-Math 72B:
Reasoning: The farmer has 4714 chickens and each lays 5 eggs every day, so the total number of eggs laid in a day is 4714*5 = <<4714*5=23570>>23570. ### Answer: 23570
Expected answer: 23570
Correct? Yes
Problem: A drum circle event has 4417 drummers attending. If each drummer brings 13 drums, how many drums are at the event in total?
Qwen2-Math 72B:
Reasoning: The total number of drums at the event is 4417 * 13 = <<4417*13=57421>>57421. ### Answer: 57421
Expected answer: 57421
Correct? Yes
Problem: In the previous scenario, suppose instead of having 4417 drummers attending, only 2770 drummers attend. If each drummer still brings 13 drums, how many drums are at the event now?
Qwen2-Math 72B:
Reasoning: The total number of drums at the event is now 2770 * 13 = <<2770*13=36010>>36010. ### Answer: 36010
Expected answer: 36010
Correct? Yes
Problem: A factory produces 3017 mobile phones per day. If they continue this rate of production for 4 days, how many phones will they produce?
Qwen2-Math 72B:
Reasoning: The factory produces 3017 phones per day. In 4 days, the factory will produce 3017 * 4 = <<3017*4=12068>>12068 phones. ### Answer: 12068
Expected answer: 12068
Correct? Yes
Problem: Consider the same mobile phone factory from the previous question. But this time, instead of producing 3017 phones per day, they ramp up their production to 8805 phones per day. If they continue this rate of production for 4 days, how many phones will they produce now?
Qwen2-Math 72B:
Reasoning: The factory produces 8805 phones per day. In 4 days, the factory will produce 8805 * 4 = <<8805*4=35220>>35220 phones. ### Answer: 35220
Expected answer: 35220
Correct? Yes
Problem: A wind turbine generates 6843 kilowatt-hours of electricity per hour. If it operates for 4 hours, how many kilowatt-hours of electricity does it generate?
Qwen2-Math 72B:
Reasoning: The wind turbine generates 6843*4 = <<6843*4=27372>>27372 kilowatt-hours of electricity in 4 hours. ### Answer: 27372
Expected answer: 27372
Correct? Yes
Problem: If the wind turbine was only able to generate 6983 kilowatt-hours of electricity per hour, as opposed to 6843, how many kilowatt-hours of electricity would it generate when running for 4 hours?
Qwen2-Math 72B:
Reasoning: The wind turbine generates 6983*4 = <<6983*4=27932>>27932 kilowatt-hours of electricity in 4 hours. ### Answer: 27932
Expected answer: 27932
Correct? Yes
Problem: In a park, there are 874 trees. Each tree is home to 68 birds. How many birds live in the park?
Qwen2-Math 72B:
Reasoning: There are 874*68 = <<874*68=59432>>59432 birds in the park. ### Answer: 59432
Expected answer: 59432
Correct? Yes
Problem: Suppose the number of trees in the park was actually 710 instead of 874. If each tree is still home to 68 birds, how many birds would live in the park then?
Qwen2-Math 72B:
Reasoning: There would be 710*68 = <<710*68=48280>>48280 birds in the park. ### Answer: 48280
Expected answer: 48280
Correct? Yes
Problem: John wants to save money to buy a designer wallet. Each day, he manages to save 80 dollars, and he plans to do this for the next 50 days. How much money will he have saved at the end of these 50 days?
Qwen2-Math 72B:
Reasoning: John saves 80 dollars each day for 50 days. Total savings = 80 dollars/day * 50 days = <<80*50=4000>>4000 dollars. ### Answer: 4000
Expected answer: 4000
Correct? Yes
Problem: John has realized that he needs to save more each day to buy the designer wallet sooner. He has now managed to save 687 dollars a day for the next 50 days. How much money will he have saved at the end of these 50 days?
Qwen2-Math 72B:
Reasoning: John saves 687 dollars each day for 50 days. Total savings = 687 dollars/day * 50 days = <<687*50=34350>>34350 dollars. ### Answer: 34350
Expected answer: 34350
Correct? Yes
Problem: A bike shop had 3978 bicycle tires in stock. If the bike shop sold the tires in sets of 21, how many tires did they sell altogether?
Qwen2-Math 72B:
Reasoning: The bike shop sold 3978/21 = <<3978/21=189>>189 sets of tires. The bike shop sold 189*21 = <<189*21=3969>>3969 tires altogether. ### Answer: 3969
Expected answer: 83538
Correct? No
Problem: A factory produces 181 chips for a computer every hour. If it works non-stop for 475 hours, how many chips would the factory have produced in total?
Qwen2-Math 72B:
Reasoning: The factory produces 181 chips per hour. In 475 hours, the factory would have produced 181 * 475 = <<181*475=85825>>85,825 chips. ### Answer: 85,825
Expected answer: 85975
Correct? No
Problem: A computer can execute 293 operations in 1 millisecond. If it runs for 192 milliseconds, how many operations will it have executed?
Qwen2-Math 72B:
Reasoning: The computer can execute 293*192 = <<293*192=56256>>56256 operations in 192 milliseconds. ### Answer: 56256
Expected answer: 56256
Correct? Yes
Problem: Suppose the computer's speed was reduced and it was only able to execute 125 operations in 1 millisecond. If it still ran for 192 milliseconds, how many operations would it be able to execute now?
Qwen2-Math 72B:
Reasoning: The computer can execute 125*192 = <<125*192=24000>>24000 operations in 192 milliseconds. ### Answer: 24000
Expected answer: 24000
Correct? Yes
Problem: A pillow factory can produce 2796 pillows in one shift. If the factory operates two shifts in a day, how many pillows are produced in one day?
Qwen2-Math 72B:
Reasoning: The factory produces 2796 pillows in one shift. In two shifts, the factory produces 2796*2 = <<2796*2=5592>>5592 pillows. ### Answer: 5592
Expected answer: 5592
Correct? Yes
Problem: If instead the pillow factory could produce 6686 pillows in one shift, how many pillows would be produced in one day with two shifts?
Qwen2-Math 72B:
Reasoning: The factory produces 6686 pillows in one shift. In two shifts, the factory produces 6686*2 = <<6686*2=13372>>13372 pillows. ### Answer: 13372
Expected answer: 13372
Correct? Yes
Problem: A vineyard crate contains 8 bunches of grapes and each bunch has 733 grapes. How many grapes are there in the crate?
Qwen2-Math 72B:
Reasoning: There are 8 bunches of grapes in the crate, and each bunch has 733 grapes. Therefore, the total number of grapes in the crate is 8 * 733 = <<8*733=5864>>5864 grapes. ### Answer: 5864
Expected answer: 5864
Correct? Yes
Problem: If a grocery store orders two crates from the vineyard, how many grapes in total would they receive?
Qwen2-Math 72B:
Reasoning: Each crate contains 5864 grapes, so two crates would contain 2 * 5864 = <<2*5864=11728>>11728 grapes. ### Answer: 11728
Expected answer: 11728
Correct? Yes
Problem: Suppose instead that each crate from the vineyard actually contained 8 bunches of grapes, and each bunch had 3451 grapes. In that case, how many grapes are there in one crate?
Qwen2-Math 72B:
Reasoning: There are 8 bunches of grapes in the crate, and each bunch has 3451 grapes. Therefore, the total number of grapes in the crate is 8 * 3451 = <<8*3451=27608>>27608 grapes. ### Answer: 27608
Expected answer: 27608
Correct? Yes