Llama 3 70B 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?
Llama 3 70B:
Reasoning: If the clock ticks 225 times per hour, it will tick 225 x 65 times in 65 hours. 225 x 65 = 14625 ### 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?
Llama 3 70B:
Reasoning: If the clock ticks 225 times per hour, it will tick 225 x 37 times in 37 hours. 225 x 37 = 8325 ### 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?
Llama 3 70B:
Reasoning: The camera shop sells 4 times more cameras in the holiday season, so we need to multiply the number of cameras sold in non-holiday seasons by 4. Number of cameras sold in holiday season = 4 × 302 = 1208 ### 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?
Llama 3 70B:
Reasoning: The jeweler produces 423 rings each day. To find the total number of rings produced after 128 days, we can multiply the number of rings produced per day by the number of days: 423 rings/day × 128 days = 54,144 rings. ### Answer: 54,144
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?
Llama 3 70B:
Reasoning: The jeweler now produces 713 rings each day. To find the total number of rings produced after 128 days, we can multiply the number of rings produced per day by the number of days: 713 rings/day × 128 days = 91,264 rings. ### Answer: 91,264
Expected answer: 91264
Correct? Yes
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?
Llama 3 70B:
Reasoning: The factory produces 3771 chocolate bars in one hour. To find out how many chocolate bars it produces in 17 hours, we can multiply the number of chocolate bars produced in one hour by 17. 3771 x 17 = 64107 ### 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?
Llama 3 70B:
Reasoning: The factory now produces 855 chocolate bars in one hour. To find out how many chocolate bars it produces in 17 hours, we can multiply the number of chocolate bars produced in one hour by 17. 855 x 17 = 14535 ### 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?
Llama 3 70B:
Reasoning: To find the total points earned, we need to multiply the points earned per card by the number of cards played. In this case, we have 3973 points per card and 4 cards played, so we multiply them together: 3973 x 4 = 15892. ### 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?
Llama 3 70B:
Reasoning: To find the total points earned, we need to multiply the points earned per card by the number of cards played. In this case, we have 1436 points per card and 4 cards played, so we multiply them together: 1436 x 4 = 5744. ### 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?
Llama 3 70B:
Reasoning: To find the total number of diamonds needed, we need to multiply the number of diamonds per ring by the number of rings. Number of diamonds per ring = 459 Number of rings = 141 Total number of diamonds = Number of diamonds per ring × Number of rings = 459 × 141 = 64719 ### Answer: 64719
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?
Llama 3 70B:
Reasoning: To find the total number of diamonds needed, we need to multiply the new number of diamonds per ring by the number of rings. Number of diamonds per ring = 98 Number of rings = 141 Total number of diamonds = Number of diamonds per ring × Number of rings = 98 × 141 = 13818 ### Answer: 13818
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?
Llama 3 70B:
Reasoning: To find the total revenue, we need to multiply the number of dishes sold by the price of each dish. Revenue = Number of dishes sold × Price of each dish Revenue = 4285 × 20 Revenue = 85690 ### Answer: 85690
Expected answer: 85700
Correct? No
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?
Llama 3 70B:
Reasoning: Since each tree produces 5998 bananas, the total number of bananas produced by two trees is 2 x 5998 = 11996. ### 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?
Llama 3 70B:
Reasoning: Since each tree produces 3185 bananas, the total number of bananas produced by two trees is 2 x 3185 = 6370. ### 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?
Llama 3 70B:
Reasoning: To find the total number of screws needed, we can multiply the number of screws per skateboard by the number of skateboards to be produced. Number of screws per skateboard = 14 Number of skateboards to be produced = 6085 Total number of screws needed = Number of screws per skateboard × Number of skateboards to be produced = 14 × 6085 = 85190 ### 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?
Llama 3 70B:
Reasoning: To find the total number of screws needed, we can multiply the number of screws per skateboard by the number of skateboards to be produced. Number of screws per skateboard = 14 Number of skateboards to be produced = 556 Total number of screws needed = Number of screws per skateboard × Number of skateboards to be produced = 14 × 556 = 7784 ### 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?
Llama 3 70B:
Reasoning: The factory produces 8688 bottles per day. To find the total number of bottles produced in a week, we need to multiply the daily production by 7. Total bottles produced in a week = Daily production × Number of days = 8688 × 7 = 60716 ### Answer: 60716
Expected answer: 60816
Correct? No
Problem: A bicycle company produces 6347 bicycles every month. How many bicycles does the company produce in 11 months?
Llama 3 70B:
Reasoning: The company produces 6347 bicycles every month. To find out how many bicycles the company produces in 11 months, we need to multiply the number of bicycles produced per month by 11. 6347 x 11 = 69717 ### Answer: 69717
Expected answer: 69817
Correct? No
Problem: If a baby needs 9932 breaths a day, how many breaths does the baby need in 2 days?
Llama 3 70B:
Reasoning: To find the total number of breaths the baby needs in 2 days, we can multiply the number of breaths per day by 2. Breaths per day = 9932 Breaths in 2 days = Breaths per day × 2 = 9932 × 2 = 19864 ### 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?
Llama 3 70B:
Reasoning: To find the total number of breaths the baby needs in 2 days, we can multiply the number of breaths per day by 2. Breaths per day = 6860 Breaths in 2 days = Breaths per day × 2 = 6860 × 2 = 13720 ### 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?
Llama 3 70B:
Reasoning: The child spends 8555 seconds sliding down the slide once. To find the total time spent sliding 9 times, we multiply the time spent sliding once by 9: 8555 x 9 = 76995 seconds. ### 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?
Llama 3 70B:
Reasoning: The child spends 9780 seconds sliding down the new slide once. To find the total time spent sliding 9 times, we multiply the time spent sliding once by 9: 9780 x 9 = 88020 seconds. ### 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?
Llama 3 70B:
Reasoning: To increase the length by a factor of 36, we multiply the original length by 36. New length = 631 inches × 36 = 631 × 36 = 22716 inches ### Answer: 22716 inches
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?
Llama 3 70B:
Reasoning: To increase the length by a factor of 36, we multiply the original length by 36. New length = 2148 inches × 36 = 2148 × 36 = 77288 inches ### Answer: 77288 inches
Expected answer: 77328
Correct? No
Problem: A toy factory produces 480 stuffed animals every hour. If they operate for 197 hours, how many stuffed animals would they have produced?
Llama 3 70B:
Reasoning: The factory produces 480 stuffed animals per hour. To find the total number of stuffed animals produced, we need to multiply the number of stuffed animals produced per hour by the number of hours the factory operates. Total stuffed animals produced = Number of stuffed animals per hour × Number of hours = 480 × 197 = 94,560 ### 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?
Llama 3 70B:
Reasoning: The factory now produces 452 stuffed animals per hour. To find the total number of stuffed animals produced, we need to multiply the number of stuffed animals produced per hour by the number of hours the factory operates. Total stuffed animals produced = Number of stuffed animals per hour × Number of hours = 452 × 197 = 89,044 ### 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?
Llama 3 70B:
Reasoning: To find the total number of work units required, we need to multiply the number of doors by the number of work units required per door. Total work units = Number of doors × Work units per door = 77 × 1209 = 93193 ### Answer: 93193
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?
Llama 3 70B:
Reasoning: The farmer collected 2473 tomatoes from each tomato plant. Since the farmer has 23 tomato plants, the total number of tomatoes collected is 2473 x 23. To find the total number of tomatoes, we multiply 2473 by 23: 2473 x 23 = 56929. ### Answer: 56929.
Expected answer: 56879
Correct? No
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?
Llama 3 70B:
Reasoning: The store sells 699 pairs of pants each day. Since each pair has 2 pants, the store sells 699 x 2 = 1398 pants per day. In 51 days, the store sells 1398 x 51 = 71298 pants. ### Answer: 71298
Expected answer: 35649
Correct? No
Problem: If you multiply the number 3639 by 10, what result do you get?
Llama 3 70B:
Reasoning: When you multiply a number by 10, you are essentially adding a 0 to the end of the number. So, multiplying 3639 by 10 is equivalent to adding a 0 to the end of 3639, which results in 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?
Llama 3 70B:
Reasoning: When you multiply a number by 10, you are essentially adding a 0 to the end of the number. So, multiplying 7033 by 10 is equivalent to adding a 0 to the end of 7033, which results in 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?
Llama 3 70B:
Reasoning: Since each pack contains 6314 keys, and they sold 14 packs, we can multiply the number of packs by the number of keys per pack to find the total number of keys sold. Total keys sold = Number of packs x Keys per pack = 14 x 6314 = 88296 ### Answer: 88296
Expected answer: 88396
Correct? No
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?
Llama 3 70B:
Reasoning: To build one castle, the player needs 149 units of sand. To build 478 castles, the player needs 478 x 149 units of sand. 478 x 149 = 71,272 ### Answer: 71,272
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?
Llama 3 70B:
Reasoning: The colony produces 7364 grams of honey per day. To find the total amount of honey produced in 10 days, we multiply the daily production by 10. 7364 grams/day × 10 days = 73640 grams ### 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?
Llama 3 70B:
Reasoning: The colony produces 9201 grams of honey per day. To find the total amount of honey produced in 10 days, we multiply the daily production by 10. 9201 grams/day × 10 days = 92010 grams ### 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?
Llama 3 70B:
Reasoning: The factory manufactures 591 pairs of ice skates in a day. To find the total number of pairs produced in 3 days, we multiply the daily production by 3. 591 pairs/day × 3 days = 591 × 3 = 1773 pairs ### 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?
Llama 3 70B:
Reasoning: The factory now manufactures 1924 pairs of ice skates in a day. To find the total number of pairs produced in 3 days, we multiply the daily production by 3. 1924 pairs/day × 3 days = 1924 × 3 = 5772 pairs ### 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?
Llama 3 70B:
Reasoning: To find the total number of unique characteristics, we need to multiply the number of species by the average number of unique characteristics per species. Total unique characteristics = Number of species × Average unique characteristics per species = 1381 × 18 = 24,858 ### Answer: 24,858
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?
Llama 3 70B:
Reasoning: To find the total number of unique characteristics, we need to multiply the corrected number of species by the average number of unique characteristics per species. Total unique characteristics = Number of species × Average unique characteristics per species = 878 × 18 = 15,804 ### Answer: 15,804
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?
Llama 3 70B:
Reasoning: Since there are 93 identical treasure chests, each containing 935 gold coins, we can multiply the number of chests by the number of coins in each chest to find the total number of gold coins. Total gold coins = Number of chests × Coins per chest = 93 × 935 = 86,955 ### Answer: 86,955
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?
Llama 3 70B:
Reasoning: Since there are 93 identical treasure chests, each containing 692 gold coins, we can multiply the number of chests by the number of coins in each chest to find the total number of gold coins. Total gold coins = Number of chests × Coins per chest = 93 × 692 = 64,356 ### Answer: 64,356
Expected answer: 64356
Correct? Yes
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?
Llama 3 70B:
Reasoning: The company produces 4838 beds in a day. To find out how many beds it produces in a week, we need to multiply the number of beds produced in a day by the number of days it operates in a week. Number of beds produced in a week = Number of beds produced in a day × Number of days operated in a week = 4838 × 6 = 29028 ### 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?
Llama 3 70B:
Reasoning: The company now produces 7776 beds in a day. To find out how many beds it produces in a week, we need to multiply the number of beds produced in a day by the number of days it operates in a week. Number of beds produced in a week = Number of beds produced in a day × Number of days operated in a week = 7776 × 6 = 46656 ### 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?
Llama 3 70B:
Reasoning: To make one dress, the designer needs 806 yards of fabric. To make 3 dresses, they will need 3 times as much fabric, which is 3 x 806 = 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?
Llama 3 70B:
Reasoning: To make one dress, the designer needs 7411 yards of fabric. To make 3 dresses, they will need 3 times as much fabric, which is 3 x 7411 = 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).
Llama 3 70B:
Reasoning: The astronaut takes 1907 breaths per hour. To find the total number of breaths in a day, we need to multiply the number of breaths per hour by the number of hours in a day. Total breaths in a day = Breathes per hour × Hours in a day = 1907 × 24 = 45768 ### 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)?
Llama 3 70B:
Reasoning: The astronaut takes 169 breaths per hour. To find the total number of breaths in a day, we need to multiply the number of breaths per hour by the number of hours in a day. Total breaths in a day = Breathes per hour × Hours in a day = 169 × 24 = 4056 ### 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?
Llama 3 70B:
Reasoning: To find the total amount of money earned, we need to multiply the amount earned per week by the number of weeks. Total amount = Amount per week × Number of weeks = 817 × 109 = 89,093 ### Answer: 89,093
Expected answer: 89053
Correct? No
Problem: A sandwich shop sells 832 sandwiches each day. How many sandwiches do they sell in 103 days?
Llama 3 70B:
Reasoning: To find the total number of sandwiches sold, we need to multiply the number of sandwiches sold per day by the number of days. Number of sandwiches sold per day = 832 Number of days = 103 Total number of sandwiches sold = Number of sandwiches sold per day × Number of days = 832 × 103 = 85,616 ### Answer: 85,616
Expected answer: 85696
Correct? No
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?
Llama 3 70B:
Reasoning: If one monkey can peel 1416 bananas in one hour, then ten monkeys can peel 10 times as many bananas in the same amount of time. So, ten monkeys can peel 10 x 1416 = 14160 bananas in one hour. ### 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?
Llama 3 70B:
Reasoning: If each of the ten monkeys can peel 4876 bananas in an hour, then the total number of bananas they can peel in an hour is 10 times 4876. So, the total number of bananas they can peel in an hour is 10 x 4876 = 48760 bananas. ### 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?
Llama 3 70B:
Reasoning: The dragon has 9996 scales on one side of its body. Since it has scales on both sides, it has 2 x 9996 = 19992 scales on both sides. The dragon also has scales on its tail, which is the same amount as one side, so it has 9996 scales on its tail. In total, the dragon has 19992 + 9996 = 29988 scales on both sides and its tail. Since the dragon has a total of 5 parts (2 sides, tail, and 2 other parts), and each part has the same amount of scales, the total number of scales is 5 x 9996 = 49980. ### Answer: 49980
Expected answer: 49980
Correct? Yes
Problem: What if instead of 9996 scales, the dragon has 904 scales on one side of its body? Given that the dragon still has scales on both sides and the tail, a total of 5 parts, how many scales does this dragon have in total?
Llama 3 70B:
Reasoning: The dragon has 904 scales on one side of its body. Since it has scales on both sides, it has 2 x 904 = 1808 scales on both sides. The dragon also has scales on its tail, which is the same amount as one side, so it has 904 scales on its tail. In total, the dragon has 1808 + 904 = 2712 scales on both sides and its tail. Since the dragon has a total of 5 parts (2 sides, tail, and 2 other parts), and each part has the same amount of scales, the total number of scales is 5 x 904 = 4520. ### Answer: 4520
Expected answer: 4520
Correct? Yes
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?
Llama 3 70B:
Reasoning: The manufacturer produces 456 pairs of sunglasses per day. To find the total number of pairs produced in 89 days, we multiply the daily production by the number of days: 456 pairs/day × 89 days = 40,584 pairs. ### Answer: 40,584
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?
Llama 3 70B:
Reasoning: The manufacturer now produces 188 pairs of sunglasses per day. To find the total number of pairs produced in 89 days, we multiply the daily production by the number of days: 188 pairs/day × 89 days = 16,732 pairs. ### Answer: 16,732
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?
Llama 3 70B:
Reasoning: The doctor sees 19 patients in a day, and each visit lasts 1943 seconds. To find the total time spent seeing patients, we multiply the number of patients by the time per patient: 19 x 1943 = 36917 seconds. ### 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?
Llama 3 70B:
Reasoning: The doctor sees 19 patients in a day, and each visit lasts 2822 seconds. To find the total time spent seeing patients, we multiply the number of patients by the time per patient: 19 x 2822 = 53658 seconds. ### Answer: 53658
Expected answer: 53618
Correct? No
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?
Llama 3 70B:
Reasoning: The farmer has 600 apple trees, and each tree produces 123 apples. To find the total number of apples, we multiply the number of trees by the number of apples each tree produces: 600 x 123 = 73,800. ### Answer: 73,800
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?
Llama 3 70B:
Reasoning: The farmer has 519 pear trees, and each tree produces 123 pears. To find the total number of pears, we multiply the number of trees by the number of pears each tree produces: 519 x 123 = 63,837. ### Answer: 63,837
Expected answer: 63837
Correct? Yes
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?
Llama 3 70B:
Reasoning: Since the giraffe eats for 15 hours a day, and each hour requires 5490 leaves, we can multiply the number of hours by the number of leaves per hour to find the total number of leaves eaten in a day. 15 hours/day × 5490 leaves/hour = 15 × 5490 = 82,350 leaves/day ### Answer: 82,350
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?
Llama 3 70B:
Reasoning: The company can produce 4116 marshmallows in one hour. To find out how many marshmallows they can produce in 3 hours, we can multiply the number of marshmallows produced in one hour by 3. 4116 marshmallows/hour × 3 hours = 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?
Llama 3 70B:
Reasoning: The company can now produce 4432 marshmallows in one hour. To find out how many marshmallows they can produce in 3 hours, we can multiply the number of marshmallows produced in one hour by 3. 4432 marshmallows/hour × 3 hours = 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?
Llama 3 70B:
Reasoning: To find the total weight of the clouds, we need to multiply the average weight of each cloud by the number of clouds. Total weight = Average weight per cloud × Number of clouds = 2885 kg × 29 = 83665 kg ### Answer: 83665 kg
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?
Llama 3 70B:
Reasoning: To find the total weight of the clouds, we need to multiply the corrected average weight of each cloud by the number of clouds. Total weight = Corrected average weight per cloud × Number of clouds = 1926 kg × 29 = 55854 kg ### Answer: 55854 kg
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?
Llama 3 70B:
Reasoning: The fairy spreads magic dust 43 times a day, and each time she uses 2230 particles. To find the total number of particles used in one day, we multiply the number of times she spreads magic dust by the number of particles used each time: 43 x 2230 = 96,090. ### Answer: 96,090
Expected answer: 95890
Correct? No
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?
Llama 3 70B:
Reasoning: The factory produces 2818 cameras per day. To find the total number of cameras produced in 27 days, we multiply the number of cameras produced per day by the number of days: 2818 cameras/day × 27 days = 76,086 cameras. ### Answer: 76,086
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?
Llama 3 70B:
Reasoning: The factory produces 2795 cameras per day. To find the total number of cameras produced in 27 days, we multiply the number of cameras produced per day by the number of days: 2795 cameras/day × 27 days = 75,465 cameras. ### Answer: 75,465
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?
Llama 3 70B:
Reasoning: To find the total amount of food consumed by the elephants in a single day, we need to multiply the number of elephants by the amount of food each elephant consumes. Number of elephants = 177 Food consumed by each elephant = 326 kg Total food consumed = Number of elephants × Food consumed by each elephant = 177 × 326 = 57,802 ### Answer: 57,802 kg
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?
Llama 3 70B:
Reasoning: Since the cloud can hold 1800 liters of water per cubic meter, and it has a volume of 20 cubic meters, we can multiply the number of liters per cubic meter by the number of cubic meters to find the total number of liters of water the cloud can hold. 1800 liters/cubic meter x 20 cubic meters = 1800 x 20 = 36000 liters ### 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?
Llama 3 70B:
Reasoning: Since the cloud has a volume of 20 cubic meters, and it can hold 830 liters of water per cubic meter, we can multiply the number of liters per cubic meter by the number of cubic meters to find the total number of liters of water the cloud can hold. 830 liters/cubic meter x 20 cubic meters = 830 x 20 = 16600 liters ### 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?
Llama 3 70B:
Reasoning: The bakery sells each cake for $1562. To find the total amount they earned, we need to multiply the number of cakes sold by the price of each cake. Total amount earned = Number of cakes sold × Price of each cake = 43 × $1562 = $67366 ### Answer: $67366
Expected answer: 67166
Correct? No
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?
Llama 3 70B:
Reasoning: Since each balloon can lift 34 grams, the total weight the experiment can weigh is the number of balloons multiplied by the weight each balloon can lift. Total weight = Number of balloons × Weight each balloon can lift = 2452 × 34 = 83368 ### Answer: 83368 grams
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?
Llama 3 70B:
Reasoning: Since each balloon can lift 34 grams, the total weight the smaller experiment can weigh is the number of balloons multiplied by the weight each balloon can lift. Total weight = Number of balloons × Weight each balloon can lift = 2257 × 34 = 76638 ### Answer: 76638 grams
Expected answer: 76738
Correct? No
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?
Llama 3 70B:
Reasoning: The company machines 6857 sets of wheels per day. To find the total number of sets of wheels made, we need to multiply the number of sets made per day by the number of days the production run lasted. Total sets of wheels = Sets per day × Number of days = 6857 × 10 = 68570 ### 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?
Llama 3 70B:
Reasoning: The company machines 4400 sets of wheels per day. To find the total number of sets of wheels made, we need to multiply the number of sets made per day by the number of days the production run lasted. Total sets of wheels = Sets per day × Number of days = 4400 × 10 = 44000 ### 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?
Llama 3 70B:
Reasoning: The designer jacket maker produces 25 jackets per day. To find the total number of jackets produced in 1333 days, we can multiply the number of jackets produced per day by the number of days: 25 jackets/day × 1333 days = 25 × 1333 = 33325. ### 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?
Llama 3 70B:
Reasoning: The designer jacket maker produces 25 jackets per day. To find the total number of jackets produced in 2353 days, we can multiply the number of jackets produced per day by the number of days: 25 jackets/day × 2353 days = 25 × 2353 = 58825. ### 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?
Llama 3 70B:
Reasoning: The factory produces 46 bottles per minute. To find the total number of bottles produced, we need to multiply the number of bottles produced per minute by the total number of minutes the factory runs. Total bottles produced = Bottles per minute × Total minutes = 46 × 1337 = 61502 ### Answer: 61502
Expected answer: 61502
Correct? Yes
Problem: What if the factory ran for a longer time? If the factory was producing 46 bottles per minute and it ran continuously for 2047 minutes, then how many bottles would it have produced in total?
Llama 3 70B:
Reasoning: The factory produces 46 bottles per minute. To find the total number of bottles produced, we need to multiply the number of bottles produced per minute by the total number of minutes the factory runs. Total bottles produced = Bottles per minute × Total minutes = 46 × 2047 = 94282 ### Answer: 94282
Expected answer: 94162
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?
Llama 3 70B:
Reasoning: The hat company manufactures an average of 694 hats each day. To find the total number of hats produced in 107 days, we can multiply the daily average by the number of days: 694 hats/day × 107 days = 74,358 hats. ### Answer: 74,358
Expected answer: 74258
Correct? No
Problem: A farmer grows 31 cucumbers each day. After 2955 days, how many cucumbers has the farmer grown?
Llama 3 70B:
Reasoning: The farmer grows 31 cucumbers each day. To find the total number of cucumbers grown, we multiply the number of cucumbers grown per day by the number of days: 31 cucumbers/day × 2955 days = 31 × 2955 = 91505. ### Answer: 91505
Expected answer: 91605
Correct? No
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?
Llama 3 70B:
Reasoning: The grape vine produces 10 bunches of grapes in a day. Each bunch sells for $715. To find the total worth of grapes produced in a day, we multiply the number of bunches by the price of each bunch: 10 x $715 = $7150. ### 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?
Llama 3 70B:
Reasoning: To find the total distance flown, we need to multiply the speed of the plane by the time it flew. Distance = Speed x Time = 850 km/h x 109 h = 92,650 km ### Answer: 92,650 km
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?
Llama 3 70B:
Reasoning: To find the total distance flown, we need to multiply the speed of the plane by the time it flew. Distance = Speed x Time = 43 km/h x 109 h = 4,687 km ### Answer: 4,687 km
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?
Llama 3 70B:
Reasoning: To find the total number of pairs of ice skates sold, we need to multiply the number of pairs sold per week by the number of weeks. Number of pairs sold per week = 548 Number of weeks = 179 Total number of pairs sold = Number of pairs sold per week × Number of weeks = 548 × 179 = 98,172 ### Answer: 98,172
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?
Llama 3 70B:
Reasoning: The flower shop sells each exotic flower for $2293. If they sold 37 flowers, they earned a total of 2293 x 37 = 84901 dollars. ### Answer: 84901
Expected answer: 84841
Correct? No
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?
Llama 3 70B:
Reasoning: Since each of the 475 crew members has 89 gold coins, we can multiply the number of crew members by the number of gold coins each has to find the total number of gold coins. Total gold coins = Number of crew members × Gold coins per crew member = 475 × 89 = 42,275 ### Answer: 42,275
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?
Llama 3 70B:
Reasoning: Since each of the 103 crew members has 89 gold coins, we can multiply the number of crew members by the number of gold coins each has to find the total number of gold coins. Total gold coins = Number of crew members × Gold coins per crew member = 103 × 89 = 9,167 ### Answer: 9,167
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?
Llama 3 70B:
Reasoning: The hat shop sells 159 hats each week. To find the total number of hats sold in 369 weeks, we can multiply the number of hats sold per week by the number of weeks: 159 x 369 = 58,671. ### Answer: 58,671
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?
Llama 3 70B:
Reasoning: The hat shop now sells 239 hats each week. To find the total number of hats sold in 369 weeks, we can multiply the number of hats sold per week by the number of weeks: 239 x 369 = 88,391. ### Answer: 88,391
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?
Llama 3 70B:
Reasoning: Since the ship is carrying 2 loads of gold, we need to multiply the weight of one load by 2. One load of gold weighs 8690 pounds, so two loads will weigh 8690 x 2 = 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?
Llama 3 70B:
Reasoning: Since the ship is carrying 2 loads of gold, we need to multiply the weight of one load by 2. One load of gold weighs 3457 pounds, so two loads will weigh 3457 x 2 = 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?
Llama 3 70B:
Reasoning: To find the total number of books the library can hold, we need to multiply the number of shelves by the number of books each shelf can hold. Number of shelves = 20 Number of books each shelf can hold = 3909 Total number of books = Number of shelves × Number of books each shelf can hold = 20 × 3909 = 78380 ### Answer: 78380
Expected answer: 78180
Correct? No
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?
Llama 3 70B:
Reasoning: Since each set contains 4 action figures, we can multiply the number of sets by 4 to find the total number of action figures. 8193 sets × 4 action figures/set = 32772 action figures ### 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?
Llama 3 70B:
Reasoning: Since each set contains 4 action figures, we can multiply the number of sets by 4 to find the total number of action figures. 3706 sets × 4 action figures/set = 14824 action figures ### 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?
Llama 3 70B:
Reasoning: To find the total number of carrots harvested, we need to multiply the number of plots of land by the number of carrots each plot yields. Total carrots = Number of plots × Carrots per plot = 177 × 380 = 67360 ### Answer: 67360
Expected answer: 67260
Correct? No
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?
Llama 3 70B:
Reasoning: The wizard casts the spell 4 times, and each time he gets 2009 magical orbs. To find the total number of magical orbs, we multiply the number of times he casts the spell by the number of orbs he gets each time: 4 × 2009 = 8036. ### 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?
Llama 3 70B:
Reasoning: The wizard casts the reduced orb spell 4 times, and each time he gets 2769 magical orbs. To find the total number of magical orbs, we multiply the number of times he casts the spell by the number of orbs he gets each time: 4 × 2769 = 11076. ### 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?
Llama 3 70B:
Reasoning: If the helicopter can cover 2265 miles in 1 day, it can cover 2265 x 28 miles in 28 days. 2265 x 28 = 63380 ### Answer: 63380
Expected answer: 63420
Correct? No
Problem: A jewelry maker uses 1516 beads to create one necklace. If he made 51 necklaces, how many beads did he use in total?
Llama 3 70B:
Reasoning: The jewelry maker uses 1516 beads to create one necklace. To find the total number of beads used, we multiply the number of beads per necklace by the number of necklaces made: 1516 beads/necklace × 51 necklaces = 1516 × 51 = 77216 beads. ### Answer: 77216
Expected answer: 77316
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?
Llama 3 70B:
Reasoning: Each student has to complete 425 tasks. Since there are 116 students, the total number of tasks is 425 x 116. To find the total number of tasks, we multiply 425 by 116: 425 x 116 = 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?
Llama 3 70B:
Reasoning: Each student has to complete 725 tasks. Since there are 116 students, the total number of tasks is 725 x 116. To find the total number of tasks, we multiply 725 by 116: 725 x 116 = 84040. ### Answer: 84040
Expected answer: 84100
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?
Llama 3 70B:
Reasoning: To find the total number of cucumbers, we need to multiply the number of cucumbers per plant by the number of plants. So, we multiply 72 cucumbers per plant by 255 plants to get 72 x 255 = 18360 cucumbers. ### 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?
Llama 3 70B:
Reasoning: To find the total number of cucumbers, we need to multiply the number of cucumbers per plant by the number of plants. So, we multiply 203 cucumbers per plant by 255 plants to get 203 x 255 = 51715 cucumbers. ### Answer: 51715
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?
Llama 3 70B:
Reasoning: The shop sells 84 fireplaces, and each fireplace costs $1047. To find the total amount of money the shop makes, we can multiply the number of fireplaces sold by the cost of each fireplace. Total amount = Number of fireplaces x Cost of each fireplace = 84 x $1047 = $88,188 ### Answer: $88,188
Expected answer: 87948
Correct? No
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?
Llama 3 70B:
Reasoning: To find the total distance traveled, we need to multiply the speed of the snail by the time it travels. Speed = 1681 millimeters per hour Time = 37 hours Distance = Speed × Time = 1681 × 37 = 62297 millimeters ### Answer: 62297
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?
Llama 3 70B:
Reasoning: Since the pencils are distributed evenly over 1 store, the number of pencils each store receives is simply the total number of pencils, which is 9658. ### 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?
Llama 3 70B:
Reasoning: Since the pencils are distributed evenly over 1 store, the number of pencils each store receives is simply the total number of pencils, which is 7883. ### 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?
Llama 3 70B:
Reasoning: The cost of each bead is $1056. The designer buys 37 beads. To find the total cost, we multiply the cost of each bead by the number of beads: $1056 x 37 = $39072. ### Answer: $39072.
Expected answer: 39072
Correct? Yes
Problem: Considering the previous scenario, what if each bead for the fancy necklace was pricier at 1978 dollars instead of 1056 dollars. How much would the designer spend on 37 beads now?
Llama 3 70B:
Reasoning: The cost of each bead is now $1978. The designer still buys 37 beads. To find the total cost, we multiply the cost of each bead by the number of beads: $1978 x 37 = $73326. ### Answer: $73326.
Expected answer: 73186
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?
Llama 3 70B:
Reasoning: The group of penguins eats 19 kg of fish per day. To find the total amount of fish consumed over 3327 days, we multiply the daily consumption by the number of days: 19 kg/day × 3327 days = 19 × 3327 = 63213 kg. ### Answer: 63213 kg
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?
Llama 3 70B:
Reasoning: The group of penguins eats 19 kg of fish per day. To find the total amount of fish consumed over 2351 days, we multiply the daily consumption by the number of days: 19 kg/day × 2351 days = 19 × 2351 = 44669 kg. ### Answer: 44669 kg
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?
Llama 3 70B:
Reasoning: The company sells 2921 crates of juice each day. Each crate contains 25 juice packs, so the total number of juice packs sold each day is 2921 x 25. To find the total number of juice packs, we multiply 2921 by 25: 2921 x 25 = 73,025. ### Answer: 73,025.
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?
Llama 3 70B:
Reasoning: The company sells 25 crates of juice each day. Each crate now contains 1345 juice packs, so the total number of juice packs sold each day is 25 x 1345. To find the total number of juice packs, we multiply 25 by 1345: 25 x 1345 = 33,625. ### Answer: 33,625.
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?
Llama 3 70B:
Reasoning: If the factory can produce 6287 tables in 1 week, they can produce 6287 x 3 = 18861 tables in 3 weeks. ### 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?
Llama 3 70B:
Reasoning: If the factory can produce 2093 tables in 1 week, they can produce 2093 x 3 = 6279 tables in 3 weeks. ### 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?
Llama 3 70B:
Reasoning: The factory can produce 869 socks in 1 hour. To find out how many socks they can produce in 31 hours, we can multiply the number of socks produced in 1 hour by 31. 869 socks/hour × 31 hours = 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?
Llama 3 70B:
Reasoning: If the rainbow occurs 1347 times in a year, then in 22 years, it would occur 1347 x 22 times. 1347 x 22 = 29634 ### 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?
Llama 3 70B:
Reasoning: If the rainbow occurs 1661 times in a year, then in 22 years, it would occur 1661 x 22 times. 1661 x 22 = 36542 ### 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?
Llama 3 70B:
Reasoning: If the cloud formation can hold 1859 gallons of water per square mile, and it is spread out over 10 square miles, we can multiply the amount of water it can hold per square mile by 10 to find the total amount of water it can hold. 1859 gallons/square mile × 10 square miles = 1859 × 10 = 18,590 gallons ### Answer: 18,590 gallons
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?
Llama 3 70B:
Reasoning: The problem states that the cloud formation can hold 1859 gallons of water per square mile, but then it says it retains the same holding capacity of 10 gallons per square mile, which is a contradiction. Assuming the correct holding capacity is 10 gallons per square mile, we can multiply the number of square miles by the holding capacity to find the total amount of water it can hold. 10 gallons/square mile × 2622 square miles = 10 × 2622 = 26,220 gallons ### Answer: 26,220 gallons
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?
Llama 3 70B:
Reasoning: The shop sells each pack of cards for $439. If they sell 79 packs, the total revenue will be the price of each pack multiplied by the number of packs sold. This can be calculated as: $439 x 79 = $34,681 ### Answer: $34,681
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?
Llama 3 70B:
Reasoning: The shop sells each pack of cards for $326. If they sell 79 packs, the total revenue will be the price of each pack multiplied by the number of packs sold. This can be calculated as: $326 x 79 = $25,754 ### Answer: $25,754
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?
Llama 3 70B:
Reasoning: The manufacturer uses 1429 bolts for each jungle gym. To find the total number of bolts used, we need to multiply the number of bolts per jungle gym by the number of jungle gyms built. Total bolts used = Number of bolts per jungle gym × Number of jungle gyms built = 1429 × 47 = 67143 ### Answer: 67143
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?
Llama 3 70B:
Reasoning: Since the school orders 64 bundles, and each bundle contains 1283 backpacks, we can multiply the number of bundles by the number of backpacks per bundle to find the total number of backpacks. 64 bundles × 1283 backpacks/bundle = 64 × 1283 = 82192 ### Answer: 82192
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?
Llama 3 70B:
Reasoning: The farmer produces 3813 pounds of grain each month. To find the total amount of grain produced in 6 months, we can multiply the monthly production by 6. 3813 pounds/month × 6 months = 3813 × 6 = 22878 pounds ### 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?
Llama 3 70B:
Reasoning: The jeweler makes 158 pairs of earrings each day. To find out how many pairs she makes in a year, we need to multiply the number of pairs she makes per day by the number of days she works in a year. Number of pairs per day = 158 Number of days per year = 142 Total number of pairs per year = Number of pairs per day × Number of days per year = 158 × 142 = 22436 ### 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?
Llama 3 70B:
Reasoning: The jeweler now produces 36 pairs of earrings each day. To find out how many pairs she will produce in a year, we need to multiply the number of pairs she makes per day by the number of days she works in a year. Number of pairs per day = 36 Number of days per year = 142 Total number of pairs per year = Number of pairs per day × Number of days per year = 36 × 142 = 5112 ### 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?
Llama 3 70B:
Reasoning: The manufacturer can make 48 wallets in 1 hour. To find out how many wallets they can make in 1244 hours, we can multiply the number of wallets they can make in 1 hour by 1244. 48 wallets/hour × 1244 hours = 48 × 1244 = 59,712 ### Answer: 59,712
Expected answer: 59712
Correct? Yes
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?
Llama 3 70B:
Reasoning: The store sells 15 phones, each priced at $3915. To find the total revenue, we multiply the number of phones sold by the price of each phone: 15 x $3915 = $58725. ### 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?
Llama 3 70B:
Reasoning: The caterer needs 40 grams of sugar to bake one cookie. To find out how much sugar they need to bake 985 cookies, we can multiply the amount of sugar needed for one cookie by the number of cookies they need to bake. 40 grams/cookie × 985 cookies = 40 × 985 = 39,400 grams ### Answer: 39,400
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?
Llama 3 70B:
Reasoning: The caterer needs 40 grams of sugar to bake one cookie. To find out how much sugar they need to bake 838 cookies, we can multiply the amount of sugar needed for one cookie by the number of cookies they need to bake. 40 grams/cookie × 838 cookies = 40 × 838 = 33,520 grams ### Answer: 33,520
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?
Llama 3 70B:
Reasoning: To find the total amount of oxygen produced by the park, we need to multiply the number of trees by the amount of oxygen each tree produces. Number of trees: 4798 Oxygen produced per tree: 11 pounds/year Total oxygen produced: 4798 trees × 11 pounds/tree = 52778 pounds/year ### Answer: 52778 pounds.
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?
Llama 3 70B:
Reasoning: To find the total amount of oxygen produced by the park, we need to multiply the number of trees by the amount of oxygen each tree produces. Number of trees: 8165 Oxygen produced per tree: 11 pounds/year Total oxygen produced: 8165 trees × 11 pounds/tree = 89815 pounds/year ### Answer: 89815 pounds.
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?
Llama 3 70B:
Reasoning: The company produces 2146 bottles per day. To find the total number of bottles produced in 46 days, we multiply the daily production by the number of days: 2146 bottles/day × 46 days = 2146 × 46 = 98716 bottles. ### Answer: 98716
Expected answer: 98716
Correct? Yes
Problem: Now, consider that the juice company changed their production to 1747 bottles of juice daily instead of 2146. Maintaining this new production rate for the same duration of 46 days, how many bottles do they produce now?
Llama 3 70B:
Reasoning: The company now produces 1747 bottles per day. To find the total number of bottles produced in 46 days, we multiply the daily production by the number of days: 1747 bottles/day × 46 days = 1747 × 46 = 80362 bottles. ### Answer: 80362
Expected answer: 80362
Correct? Yes
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?
Llama 3 70B:
Reasoning: Since the helicopter has 10 fuel tanks, and each tank can hold 4366 liters of fuel, we can multiply the number of tanks by the capacity of each tank to find the total fuel capacity. 10 tanks x 4366 liters/tank = 10 x 4366 = 43660 liters ### Answer: 43660 liters
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?
Llama 3 70B:
Reasoning: To find the total number of students that all the school buses can carry, we need to multiply the number of students each bus can carry by the number of buses. Number of students each bus can carry = 637 Number of buses = 148 Total number of students that can be carried = 637 x 148 = 94,276 ### Answer: 94,276
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?
Llama 3 70B:
Reasoning: To find the total number of students that all the school buses can carry, we need to multiply the number of students each bus can carry by the number of buses. Number of students each bus can carry = 595 Number of buses = 148 Total number of students that can be carried = 595 x 148 = 88,060 ### Answer: 88,060
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?
Llama 3 70B:
Reasoning: The designer pays $480 for each prototype. To find the total amount spent, we multiply the cost per prototype by the number of prototypes: $480 × 121 = $58,080. ### 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?
Llama 3 70B:
Reasoning: The designer now pays $158 for each prototype. To find the total amount spent, we multiply the new cost per prototype by the number of prototypes: $158 × 121 = $19,118. ### 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?
Llama 3 70B:
Reasoning: The store sells 406 pairs of ice skates at $106 each, so the total amount of money made is 406 x 106. To calculate this, we can multiply 406 by 100, which is 40600, and then multiply 406 by 6, which is 2436. Adding these two results together, we get 40600 + 2436 = 43036. ### 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?
Llama 3 70B:
Reasoning: The store sells 757 pairs of ice skates at $106 each, so the total amount of money made is 757 x 106. To calculate this, we can multiply 757 by 100, which is 75700, and then multiply 757 by 6, which is 4542. Adding these two results together, we get 75700 + 4542 = 80242. ### Answer: $80242.
Expected answer: 80242
Correct? Yes
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?
Llama 3 70B:
Reasoning: The sun emits 133 units of light energy every second. To find the total energy emitted over a period of 61 seconds, we can multiply the energy emitted per second by the number of seconds: 133 units/second × 61 seconds = 133 × 61 = 8113 units. ### Answer: 8113 units.
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?
Llama 3 70B:
Reasoning: The sun emits 133 units of light energy every second. To find the total energy emitted over a period of 150 seconds, we can multiply the energy emitted per second by the number of seconds: 133 units/second × 150 seconds = 133 × 150 = 19950 units. ### Answer: 19950 units.
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?
Llama 3 70B:
Reasoning: If each chicken lays 5 eggs per day, and there are 8714 chickens, we can multiply the number of chickens by the number of eggs each lays to find the total number of eggs laid in a day. 8714 chickens x 5 eggs/chicken = 8714 x 5 = 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?
Llama 3 70B:
Reasoning: If each chicken lays 5 eggs per day, and there are 4714 chickens, we can multiply the number of chickens by the number of eggs each lays to find the total number of eggs laid in a day. 4714 chickens x 5 eggs/chicken = 4714 x 5 = 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?
Llama 3 70B:
Reasoning: To find the total number of drums, we need to multiply the number of drummers by the number of drums each drummer brings. Number of drummers = 4417 Number of drums each drummer brings = 13 Total number of drums = Number of drummers × Number of drums each drummer brings = 4417 × 13 = 57,221 ### Answer: 57,221
Expected answer: 57421
Correct? No
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?
Llama 3 70B:
Reasoning: The factory produces 3017 mobile phones per day. To find the total number of phones produced in 4 days, we can multiply the daily production by 4. 3017 phones/day × 4 days = 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?
Llama 3 70B:
Reasoning: The factory now produces 8805 mobile phones per day. To find the total number of phones produced in 4 days, we can multiply the daily production by 4. 8805 phones/day × 4 days = 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?
Llama 3 70B:
Reasoning: The wind turbine generates 6843 kilowatt-hours of electricity per hour. To find the total kilowatt-hours generated in 4 hours, we multiply the rate by the time: 6843 kilowatt-hours/hour × 4 hours = 27372 kilowatt-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?
Llama 3 70B:
Reasoning: The wind turbine generates 6983 kilowatt-hours of electricity per hour. To find the total kilowatt-hours generated in 4 hours, we multiply the rate by the time: 6983 kilowatt-hours/hour × 4 hours = 27932 kilowatt-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?
Llama 3 70B:
Reasoning: Since each tree is home to 68 birds, we can multiply the number of trees by the number of birds per tree to find the total number of birds. Number of birds = Number of trees × Birds per tree = 874 × 68 = 59,432 ### Answer: 59,432
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?
Llama 3 70B:
Reasoning: Since each tree is home to 68 birds, we can multiply the number of trees by the number of birds per tree to find the total number of birds. Number of birds = Number of trees × Birds per tree = 710 × 68 = 48,280 ### Answer: 48,280
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?
Llama 3 70B:
Reasoning: John saves $80 per day. To find out how much he will save in 50 days, we can multiply the amount he saves per day by the number of days: $80/day × 50 days = $80 × 50 = $4000. ### 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?
Llama 3 70B:
Reasoning: John saves $687 per day. To find out how much he will save in 50 days, we can multiply the amount he saves per day by the number of days: $687/day × 50 days = $687 × 50 = $34,350. ### Answer: $34,350
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?
Llama 3 70B:
Reasoning: To find the number of sets of tires sold, we can divide the total number of tires by 21. 3978 ÷ 21 = 189. Since each set has 21 tires, we multiply the number of sets by 21 to find the total number of tires sold. 189 × 21 = 3979. However, this is not possible since the bike shop only had 3978 tires. This means that the bike shop sold 189 sets of tires, which is a total of 189 × 21 = 3969 tires. ### 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?
Llama 3 70B:
Reasoning: The factory produces 181 chips per hour. To find the total number of chips produced, we need to multiply the number of chips per hour by the number of hours it worked. Total chips produced = Chips per hour × Hours worked = 181 × 475 = 86,075 ### Answer: 86,075
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?
Llama 3 70B:
Reasoning: The computer can execute 293 operations in 1 millisecond. To find out how many operations it can execute in 192 milliseconds, we can multiply the number of operations it can execute in 1 millisecond by 192. 293 operations/ms × 192 ms = 293 × 192 = 56,256 ### Answer: 56,256
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?
Llama 3 70B:
Reasoning: The computer can execute 125 operations in 1 millisecond. To find out how many operations it can execute in 192 milliseconds, we can multiply the number of operations it can execute in 1 millisecond by 192. 125 operations/ms × 192 ms = 125 × 192 = 24,000 ### Answer: 24,000
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?
Llama 3 70B:
Reasoning: The factory can produce 2796 pillows in one shift. Since it operates two shifts in a day, the total number of pillows produced in one day is 2796 x 2 = 5592. ### 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?
Llama 3 70B:
Reasoning: The factory can produce 6686 pillows in one shift. Since it operates two shifts in a day, the total number of pillows produced in one day is 6686 x 2 = 13372. ### 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?
Llama 3 70B:
Reasoning: Since there are 8 bunches of grapes in the crate, and each bunch has 733 grapes, we can multiply the number of bunches by the number of grapes in each bunch to find the total number of grapes. 8 (bunches) × 733 (grapes per bunch) = 5854 grapes ### Answer: 5854
Expected answer: 5864
Correct? No