Qwen2-Math 7B on 5.NBT.B.5
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 7B:
Reasoning: The clock ticks 225 times per hour. In 65 hours, the clock will tick 225*65 = <<225*65=14625>>14625 times. ### Answer: 14625
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 7B:
Reasoning: The clock ticks 225 times per hour. In 37 hours, the clock will tick 225*37 = <<225*37=8325>>8325 times. ### Answer: 8325
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 7B:
Reasoning: The shop sells 302*4 = <<302*4=1208>>1208 cameras 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 7B:
Reasoning: The jeweler produces 423 rings each day. After 128 days of production, the jeweler has produced 423*128 = <<423*128=53824>>53824 rings. ### Answer: 53824
Expected answer: 54144
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 7B:
Reasoning: The factory produces 3771*17 = <<3771*17=64107>>64107 chocolate bars in 17 hours. ### Answer: 64107
Expected answer: 64107
Correct? Yes
Problem: The chocolate factory has decided to reduce its hourly production. Now it only produces 855 chocolate bars in one hour. If they continue to operate for 17 hours a day, how many chocolate bars will they produce in that time?
Qwen2-Math 7B:
Reasoning: The factory now produces 855*17 = <<855*17=14535>>14535 chocolate bars in 17 hours. ### Answer: 14535
Expected answer: 14535
Correct? Yes
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 7B:
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 7B:
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 7B:
Reasoning: The jewelry designer will need 459*141 = <<459*141=64639>>64639 diamonds in total. ### Answer: 64639
Expected answer: 64719
Correct? No
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 7B:
Reasoning: The revenue generated from selling 4285 dishes at $20 each is 4285 * 20 = <<4285*20=85700>>$85,700. ### Answer: $85,700
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 7B:
Reasoning: The revenue generated from selling 1946 dishes at $20 each is 1946 * 20 = <<1946*20=38920>>$38,920. ### Answer: $38,920
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 7B:
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 7B:
Reasoning: The two trees would produce 3185*2 = <<3185*2=6370>>6370 bananas together. ### 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 7B:
Reasoning: The manufacturer needs 6085*14 = <<6085*14=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 7B:
Reasoning: The manufacturer would need 556*14 = <<556*14=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 7B:
Reasoning: The factory produces 8688*7 = <<8688*7=60816>>60816 bottles in a week. ### 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 7B:
Reasoning: The factory now produces 2655*7 = <<2655*7=18585>>18585 bottles in a week. ### 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 7B:
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 7B:
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 7B:
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 7B:
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 7B:
Reasoning: The child spent 8555*9 = <<8555*9=77005>>77005 seconds in total sliding. ### Answer: 77005
Expected answer: 76995
Correct? No
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 7B:
Reasoning: The new length of the slide 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 7B:
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 7B:
Reasoning: The factory produces 480*197 = <<480*197=95560>>95560 stuffed animals in 197 hours. ### Answer: 95560
Expected answer: 94560
Correct? No
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 7B:
Reasoning: The total number of work units required is 77 * 1209 = <<77*1209=92993>>92993. ### 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 7B:
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 7B:
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 7B:
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 7B:
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 7B:
Reasoning: Multiplying 3639 by 10 is equivalent to 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 7B:
Reasoning: Multiplying 7033 by 10 is equivalent to 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 7B:
Reasoning: The store sold 14*6314 = <<14*6314=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 7B:
Reasoning: The store sold 14*4352 = <<14*4352=60928>>60928 keys from the smaller packs. ### 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 7B:
Reasoning: The player used 149*478 = <<149*478=70922>>70922 units of sand in total. ### Answer: 70922
Expected answer: 71222
Correct? No
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 7B:
Reasoning: 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 7B:
Reasoning: 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 7B:
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 7B:
Reasoning: The factory will manufacture 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 7B:
Reasoning: There are 1381*18 = <<1381*18=24858>>24858 unique characteristics across all frog species in the region. ### 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 7B:
Reasoning: There are 878*18 = <<878*18=15804>>15804 unique characteristics across all species of frogs in the region. ### 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 7B:
Reasoning: If one treasure chest contains 935 gold coins, then 93 treasure chests would contain 935*93 = <<935*93=86745>>86745 gold coins. ### Answer: 86745
Expected answer: 86955
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 7B:
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 7B:
Reasoning: With the new production rate, the company would produce 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 7B:
Reasoning: To find the total yards of fabric needed, we multiply the yards of fabric needed for one dress by the number of dresses: 806 * 3 = <<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 7B:
Reasoning: To find the total yards of fabric needed, we multiply the yards of fabric needed for one dress by the number of dresses: 7411 * 3 = <<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 7B:
Reasoning: The astronaut takes 1907 * 24 = <<1907*24=45768>>45768 breaths in a day. ### 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 7B:
Reasoning: The astronaut takes 169 * 24 = <<169*24=4056>>4056 breaths in a day. ### 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 7B:
Reasoning: You would have earned 817*109 = <<817*109=88753>>88753 dollars in total. ### Answer: 88753
Expected answer: 89053
Correct? No
Problem: A sandwich shop sells 832 sandwiches each day. How many sandwiches do they sell in 103 days?
Qwen2-Math 7B:
Reasoning: The sandwich shop sells 832*103 = <<832*103=85696>>85696 sandwiches in 103 days. ### Answer: 85696
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 7B:
Reasoning: The sandwich shop would sell 832*15 = <<832*15=12480>>12480 sandwiches in 15 days. ### Answer: 12480
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 7B:
Reasoning: If one monkey can peel 1416 bananas in one hour, then ten monkeys can peel 10*1416 = <<10*1416=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 7B:
Reasoning: If each monkey can peel 4876 bananas in one hour, then ten monkeys can peel 10*4876 = <<10*4876=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 7B:
Reasoning: The dragon has 9996 scales on one side of its body, and the same amount on the other side. So, the dragon has 9996*2 = <<9996*2=19992>>19992 scales on both sides. The dragon also has a tail with the same amount of scales. So, the dragon has 19992+9996 = <<19992+9996=29988>>29988 scales in total. ### Answer: 29988
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 7B:
Reasoning: The manufacturer produced 456*89 = <<456*89=40644>>40644 pairs of sunglasses in 89 days. ### Answer: 40644
Expected answer: 40584
Correct? No
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 7B:
Reasoning: The doctor spends 19*1943 = <<19*1943=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 7B:
Reasoning: The doctor spends 19*2822 = <<19*2822=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 7B:
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 7B:
Reasoning: The farmer gets 519*123 = <<519*123=63537>>63537 pears in one season. ### Answer: 63537
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 7B:
Reasoning: A giraffe eats 5490 leaves per hour, and it spends 15 hours a day eating. Therefore, a giraffe eats 5490*15 = <<5490*15=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 7B:
Reasoning: The marshmallow company can produce 4116 marshmallows in one hour. If the company operates for 3 hours, they 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 7B:
Reasoning: The marshmallow company can produce 4432 marshmallows in one hour. If the company operates for 3 hours, they 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 7B:
Reasoning: The total weight of the clouds is 2885*29 = <<2885*29=83665>>83665 kg. The total weight of the clouds is 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 7B:
Reasoning: The new total weight of the clouds is 1926*29 = <<1926*29=55854>>55854 kg. The new total weight of the clouds is 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 7B:
Reasoning: The fairy uses up 2230*43 = <<2230*43=95890>>95890 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 7B:
Reasoning: The factory produces 2818*27 = <<2818*27=76086>>76086 cameras in 27 days. ### 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 7B:
Reasoning: The factory produces 2795*27 = <<2795*27=75465>>75465 cameras in 27 days. ### 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 7B:
Reasoning: The elephants consume 177*326 = <<177*326=57642>>57642 kg of food in total in a single day. ### Answer: 57642
Expected answer: 57702
Correct? No
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 7B:
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 7B:
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 7B:
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 7B:
Reasoning: The bakery would make 527*43 = <<527*43=22661>>22661 dollars from these cakes. ### 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 7B:
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 7B:
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 7B:
Reasoning: The company machines 6857 sets of wheels per day. In 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 7B:
Reasoning: The company produces 4400 sets of wheels per day. In 10 days, the company produces 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 7B:
Reasoning: The designer jacket maker would have produced 25*1333 = <<25*1333=33325>>33325 jackets in total. ### Answer: 33325
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 7B:
Reasoning: The designer jacket maker would have produced 25*2353 = <<25*2353=58825>>58825 jackets in total. ### Answer: 58825
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 7B:
Reasoning: The factory produces 46*1337 = <<46*1337=61402>>61402 bottles in total. ### 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 7B:
Reasoning: The company manufactures 694 hats each day. After 107 days, the total number of hats produced is 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 7B:
Reasoning: The company manufactures 554 hats each day. After 107 days, the total number of hats produced is 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 7B:
Reasoning: 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 7B:
Reasoning: The farmer will have 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 7B:
Reasoning: The grape vine produces 10 bunches of grapes in a day, and each bunch sells for 715 dollars. The grape vine produces 10*715 = <<10*715=7150>>7150 dollars worth of grapes each day. ### 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 7B:
Reasoning: The plane will have flown 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 7B:
Reasoning: The plane would have flown 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 7B:
Reasoning: The store sold 548*179 = <<548*179=98272>>98272 pairs of ice skates in total during that time. ### Answer: 98272
Expected answer: 98092
Correct? No
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 7B:
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 7B:
Reasoning: There are 475*89 = <<475*89=42275>>42275 gold coins in total 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 7B:
Reasoning: There would be 103*89 = <<103*89=9127>>9127 gold coins in total on the pirate ship. ### Answer: 9127
Expected answer: 9167
Correct? No
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 7B:
Reasoning: The hat shop sells 159*369 = <<159*369=58531>>58531 hats in one year. ### Answer: 58531
Expected answer: 58671
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 7B:
Reasoning: The ship can carry 8690 pounds of gold per load. The ship is carrying 2 loads of gold. The total weight of gold the ship has is 8690*2 = <<8690*2=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 7B:
Reasoning: The ship can carry 3457 pounds of gold per load. The ship is carrying 2 loads of gold. The total weight of gold the ship has is 3457*2 = <<3457*2=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 7B:
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 7B:
Reasoning: The library can hold 20*1920 = <<20*1920=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 7B:
Reasoning: There are 8193 sets of 4 action figures, so there are 8193*4 = <<8193*4=32772>>32772 individual superhero action figures in total. ### 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 7B:
Reasoning: There are 3706 sets of 4 action figures, so there are 3706*4 = <<3706*4=14824>>14824 individual superhero action figures in total. ### 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 7B:
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 7B:
Reasoning: The farmer harvests 220*380 = <<220*380=83600>>83600 additional 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 7B:
Reasoning: The wizard produced 2009*4 = <<2009*4=8036>>8036 magical 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 7B:
Reasoning: The wizard produced 2769*4 = <<2769*4=11076>>11076 magical 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 7B:
Reasoning: The helicopter can cover 2265*28 = <<2265*28=63420>>63420 miles in 28 days. ### 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 7B:
Reasoning: The helicopter can cover 1060*28 = <<1060*28=29680>>29680 miles in 28 days. ### 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 7B:
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 7B:
Reasoning: The jewelry maker would use 1196*51 = <<1196*51=60996>>60996 beads in total. ### Answer: 60996
Expected answer: 60996
Correct? Yes
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 7B:
Reasoning: Each student must complete 425 tasks, so the total number of tasks completed by all students is 116*425 = <<116*425=49400>>49400. ### Answer: 49400
Expected answer: 49300
Correct? No
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 7B:
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 7B:
Reasoning: The farmer would yield 203*255 = <<203*255=51615>>51615 cucumbers from his 255 plants. ### Answer: 51615
Expected answer: 51765
Correct? No
Problem: In a fireplace shop, each fireplace costs $1047. If they sell 84 fireplaces, how much money does the shop make?
Qwen2-Math 7B:
Reasoning: The shop makes 84*1047 = <<84*1047=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 7B:
Reasoning: The shop makes 84*944 = <<84*944=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 7B:
Reasoning: The snail travels 1681*37 = <<1681*37=62217>>62217 millimeters in 37 hours. ### Answer: 62217
Expected answer: 62197
Correct? No
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 7B:
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 7B:
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 7B:
Reasoning: The designer spends 1056*37 = <<1056*37=38972>>38972 dollars on beads. ### Answer: 38972
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 7B:
Reasoning: The total amount of fish consumed is 19*3327 = <<19*3327=63213>>63213 kg. ### 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 7B:
Reasoning: The total amount of fish consumed is 19*2351 = <<19*2351=44669>>44669 kg. ### 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 7B:
Reasoning: The company sells 2921*25 = <<2921*25=73025>>73025 juice packs 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 7B:
Reasoning: The company would sell 25*1345 = <<25*1345=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 7B:
Reasoning: The factory produces 6287 tables in a week. In 3 weeks, the factory 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 7B:
Reasoning: The factory can produce 2093 tables in a week. In 3 weeks, the factory 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 7B:
Reasoning: The factory produces 869 socks per hour. In 31 hours, they produce 869*31 = <<869*31=26939>>26939 socks. ### Answer: 26939
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 7B:
Reasoning: The rainbow has been 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 7B:
Reasoning: The rainbow would have been spotted 1661*22 = <<1661*22=36542>>36542 times in those 22 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 7B:
Reasoning: The cloud can 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 7B:
Reasoning: The cloud can hold 1859*2622 = <<1859*2622=4860558>>4860558 gallons of water. ### Answer: 4860558
Expected answer: 26220
Correct? No
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 7B:
Reasoning: The card shop earns 439*79 = <<439*79=34681>>34681 dollars from selling 79 packs of cards. ### 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 7B:
Reasoning: The card shop earns 326*79 = <<326*79=25754>>25754 dollars from selling 79 packs of cards. ### 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 7B:
Reasoning: The manufacturer used 1429*47 = <<1429*47=66963>>66963 bolts in total. ### Answer: 66963
Expected answer: 67163
Correct? No
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 7B:
Reasoning: The school orders 1283*64 = <<1283*64=81632>>81632 backpacks in total. ### Answer: 81632
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 7B:
Reasoning: The farmer produces 3813 pounds of grain each month. If they continue this production for 6 months, they will have produced 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 7B:
Reasoning: The jeweler makes 158*142 = <<158*142=22276>>22276 pairs of earrings in a year. ### Answer: 22276
Expected answer: 22436
Correct? No
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 7B:
Reasoning: The manufacturer can make 48*1244 = <<48*1244=60720>>60720 wallets in 1244 hours. ### Answer: 60720
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 7B:
Reasoning: The store generates 15 * $3915 = <<15*3915=58725>>$58,725 from selling 15 phones. ### Answer: $58,725
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 7B:
Reasoning: The caterer needs 40 grams of sugar for each cookie. For 985 cookies, the caterer will need 40*985 = <<40*985=39400>>39400 grams of sugar. ### Answer: 39400
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 7B:
Reasoning: The caterer needs 40 grams of sugar for each cookie. For 838 cookies, the caterer will need 40*838 = <<40*838=33520>>33520 grams of sugar. ### Answer: 33520
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 7B:
Reasoning: The park produces 4798*11 = <<4798*11=52778>>52778 pounds of oxygen in a 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 7B:
Reasoning: The park would produce 8165*11 = <<8165*11=89815>>89815 pounds of oxygen in a 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 7B:
Reasoning: The juice company produces 2146*46 = <<2146*46=98616>>98616 bottles in 46 days. ### 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 7B:
Reasoning: The helicopter holds 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 7B:
Reasoning: 637 students per bus * 148 buses = <<637*148=94076>>94076 students. ### Answer: 94076
Expected answer: 94276
Correct? No
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 7B:
Reasoning: The designer spent $480 x 121 = <<480*121=58080>>58080 on creating the prototypes. ### Answer: 58080
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 7B:
Reasoning: The designer would spend $158 x 121 = <<158*121=19018>>19018 on creating the prototypes with the reduced cost. ### Answer: 19018
Expected answer: 19118
Correct? No
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 7B:
Reasoning: The store makes 406 * $106 = <<406*106=42636>>$42,636 from selling ice skates on that day. ### Answer: $42,636
Expected answer: 43036
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 7B:
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 7B:
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 7B:
Reasoning: The total number of eggs laid by all the chickens 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 7B:
Reasoning: The total number of eggs laid by all the chickens 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 7B:
Reasoning: 4417 * 13 = <<4417*13=57421>>57421 There are 57421 drums at the event in total. ### 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 7B:
Reasoning: 2770 * 13 = <<2770*13=36010>>36010 There are 36010 drums at the event now. ### 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 7B:
Reasoning: The factory produces 3017 mobile phones per day. If they continue this rate of production for 4 days, they will produce 3017*4 = <<3017*4=12068>>12068 mobile 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 7B:
Reasoning: The factory produces 8805 mobile phones per day. If they continue this rate of production for 4 days, they will produce 8805*4 = <<8805*4=35220>>35220 mobile 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 7B:
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 7B:
Reasoning: The wind turbine would generate 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 7B:
Reasoning: There are 874*68 = <<874*68=59232>>59232 birds in the park. ### Answer: 59232
Expected answer: 59432
Correct? No
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 7B:
Reasoning: John saves 80 dollars each day for 50 days, so he will have saved 80*50 = <<80*50=4000>>4000 dollars at the end of these 50 days. ### 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 7B:
Reasoning: John saves 687 dollars each day for 50 days, so he will have saved 687*50 = <<687*50=34350>>34350 dollars at the end of these 50 days. ### 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 7B:
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 7B:
Reasoning: The factory would have produced 181*475 = <<181*475=85725>>85725 chips in total. ### Answer: 85725
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 7B:
Reasoning: The computer can execute 293*192 = <<293*192=56616>>56616 operations in 192 milliseconds. ### Answer: 56616
Expected answer: 56256
Correct? No
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 7B:
Reasoning: The factory produces 2796*2 = <<2796*2=5592>>5592 pillows in one day. ### 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 7B:
Reasoning: The factory would produce 6686*2 = <<6686*2=13372>>13372 pillows in one day. ### 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 7B:
Reasoning: There are 8*733 = <<8*733=5864>>5864 grapes in the crate. ### 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 7B:
Reasoning: If a grocery store orders two crates, they would receive 2*5864 = <<2*5864=11728>>11728 grapes in total. ### 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 7B:
Reasoning: There are 8*3451 = <<8*3451=27608>>27608 grapes in one crate. ### Answer: 27608
Expected answer: 27608
Correct? Yes