Common Core Standard 4.NBT.B.5
This standard covers the following:
Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
Problem: A police department issues 65 tickets each day for 34 days. How many tickets did they issue in total?
Llama 3 70B:
Reasoning: The police department issues 65 tickets each day, and they do this for 34 days. To find the total number of tickets, we can multiply the number of tickets per day by the number of days: 65 x 34 = 2210. ### Answer: 2210
Expected answer: 2210
Correct? Yes
Problem: A windmill generates 8086 kilowatts of electricity every day. How much electricity will it generate in 7 days?
Llama 3 70B:
Reasoning: To find the total amount of electricity generated in 7 days, we need to multiply the daily generation by 7. Daily generation = 8086 kilowatts Total generation in 7 days = 8086 × 7 = 56602 kilowatts ### Answer: 56602
Expected answer: 56602
Correct? Yes
Problem: If the windmill generated 5447 kilowatts of electricity daily instead of 8086 kilowatts, how much electricity would it generate in 7 days?
Llama 3 70B:
Reasoning: To find the total amount of electricity generated in 7 days, we need to multiply the daily generation by 7. Daily generation = 5447 kilowatts Total generation in 7 days = 5447 × 7 = 38129 kilowatts ### Answer: 38129
Expected answer: 38129
Correct? Yes
Problem: A company produces 55 tubes of toothpaste every hour for 35 hours. How many tubes of toothpaste did they produce?
Llama 3 70B:
Reasoning: The company produces 55 tubes of toothpaste every hour. To find the total number of tubes produced, we need to multiply the number of tubes produced per hour by the number of hours. Total tubes produced = Tubes produced per hour × Number of hours = 55 × 35 = 1925 ### Answer: 1925
Expected answer: 1925
Correct? Yes
Problem: Instead of producing toothpaste for 35 hours, the company decided to increase their production time to 316 hours, still producing 55 tubes of toothpaste every hour. How many tubes of toothpaste did they produce now?
Llama 3 70B:
Reasoning: The company still produces 55 tubes of toothpaste every hour, but now they are producing for 316 hours. To find the total number of tubes produced, we need to multiply the number of tubes produced per hour by the new number of hours. Total tubes produced = Tubes produced per hour × Number of hours = 55 × 316 = 17380 ### Answer: 17380
Expected answer: 17380
Correct? Yes
Problem: A company produces 96 unique keys per day for 83 days. How many keys in total did they produce?
Llama 3 70B:
Reasoning: The company produces 96 keys per day. To find the total number of keys produced, we need to multiply the number of keys per day by the number of days: 96 keys/day × 83 days = 96 × 83 = 7968. ### Answer: 7968
Expected answer: 7968
Correct? Yes
Problem: Considering the previous problem, if the company instead produced 993 unique keys per day for the same period of 96 days, how many keys in total would they have produced?
Llama 3 70B:
Reasoning: The company produces 993 keys per day. To find the total number of keys produced, we need to multiply the number of keys per day by the number of days: 993 keys/day × 96 days = 993 × 96 = 95328. ### Answer: 95328
Expected answer: 95328
Correct? Yes
Problem: A company produces 9212 balls of a specific type every day for 9 consecutive days. How many balls did they produce overall?
Llama 3 70B:
Reasoning: The company produces 9212 balls per day. To find the total number of balls produced in 9 days, we multiply the number of balls per day by the number of days: 9212 x 9 = 82848. ### Answer: 82848.
Expected answer: 82908
Correct? No
Problem: A school bus can carry 6353 students. If there is only 1 bus available, how many students can it carry?
Llama 3 70B:
Reasoning: The problem states that the school bus can carry 6353 students. Since there is only 1 bus available, the answer is simply the capacity of the bus, which is 6353 students. ### Answer: 6353
Expected answer: 6353
Correct? Yes
Problem: Now, imagine if the school bus could only carry 229 students instead of 6353. How many students can this bus carry?
Llama 3 70B:
Reasoning: The problem states that the school bus can carry 229 students. Since there is only 1 bus available, the answer is simply the capacity of the bus, which is 229 students. ### Answer: 229
Expected answer: 229
Correct? Yes
Problem: A pirate ship has 76 cannons, each firing 45 cannonballs in a battle. How many cannonballs does the pirate ship fire in total?
Llama 3 70B:
Reasoning: Since each of the 76 cannons fires 45 cannonballs, we need to multiply the number of cannons by the number of cannonballs each fires. This gives us 76 x 45 = 3420. ### Answer: 3420
Expected answer: 3420
Correct? Yes
Problem: Considering the same pirate ship, what if instead of firing 45 cannonballs per cannon, each of the 76 cannons fired 708 cannonballs in a battle? How many cannonballs does the pirate ship fire in total now?
Llama 3 70B:
Reasoning: Since each of the 76 cannons fires 708 cannonballs, we need to multiply the number of cannons by the number of cannonballs each fires. This gives us 76 x 708 = 53,808. ### Answer: 53,808
Expected answer: 53808
Correct? Yes
Problem: A bus can carry 5244 passengers. How many passengers can 5 buses carry in total?
Llama 3 70B:
Reasoning: If one bus can carry 5244 passengers, then 5 buses can carry 5 x 5244 passengers. 5 x 5244 = 26220 ### Answer: 26220
Expected answer: 26220
Correct? Yes
Problem: Following from the previous problem, imagine instead that each bus can carry 8347 passengers. How many passengers can 5 buses carry in total now?
Llama 3 70B:
Reasoning: If one bus can carry 8347 passengers, then 5 buses can carry 5 x 8347 passengers. 5 x 8347 = 41735 ### Answer: 41735
Expected answer: 41735
Correct? Yes
Problem: A friend of yours has been saving money for 2 years. Every year, they manage to save $2008. How much money have they saved in total?
Llama 3 70B:
Reasoning: Since your friend has been saving money for 2 years, and they save $2008 every year, we can multiply the number of years by the amount saved per year to find the total amount saved. Total amount saved = Number of years × Amount saved per year = 2 × $2008 = $4016 ### Answer: $4016
Expected answer: 4016
Correct? Yes
Problem: In response to the previous situation with your friend, imagine instead that they were able to save just $125 every year for those same 2 years. How much would they have managed to save under these circumstances?
Llama 3 70B:
Reasoning: Since your friend has been saving money for 2 years, and they save $125 every year, we can multiply the number of years by the amount saved per year to find the total amount saved. Total amount saved = Number of years × Amount saved per year = 2 × $125 = $250 ### Answer: $250
Expected answer: 250
Correct? Yes
Problem: A chocolate factory produces 4916 chocolate bars every hour for 4 hours. How many chocolate bars did they produce?
Llama 3 70B:
Reasoning: The factory produces 4916 chocolate bars every hour. To find the total number of chocolate bars produced in 4 hours, we multiply the number of chocolate bars produced per hour by the number of hours: 4916 x 4 = 19664. ### Answer: 19664
Expected answer: 19664
Correct? Yes
Problem: If the chocolate factory mentioned before actually produced 7489 chocolate bars every hour for the same 4 hours, how many chocolate bars did they produce instead?
Llama 3 70B:
Reasoning: The factory produces 7489 chocolate bars every hour. To find the total number of chocolate bars produced in 4 hours, we multiply the number of chocolate bars produced per hour by the number of hours: 7489 x 4 = 29956. ### Answer: 29956
Expected answer: 29956
Correct? Yes
Problem: A pirate found a hidden treasure, which contains 91 chests, each chest holding 55 gold coins. How many gold coins did the pirate find in total?
Llama 3 70B:
Reasoning: The pirate found 91 chests, each containing 55 gold coins. To find the total number of gold coins, we multiply the number of chests by the number of coins in each chest: 91 x 55 = 5005. ### Answer: 5005
Expected answer: 5005
Correct? Yes
Problem: Instead of 91 chests, suppose the pirate found 1489 chests, each still holding 55 gold coins. How many gold coins did the pirate find in total now?
Llama 3 70B:
Reasoning: The pirate found 1489 chests, each containing 55 gold coins. To find the total number of gold coins, we multiply the number of chests by the number of coins in each chest: 1489 x 55 = 81895. ### Answer: 81895
Expected answer: 81895
Correct? Yes
Problem: A farmer grows 50 bunches of grapes and each bunch has 12 grapes each. How many grapes did the farmer grow in total?
Llama 3 70B:
Reasoning: The farmer grows 50 bunches of grapes, and each bunch has 12 grapes. To find the total number of grapes, we can multiply the number of bunches by the number of grapes in each bunch: 50 x 12 = 600. ### Answer: 600
Expected answer: 600
Correct? Yes
Problem: If instead of 50 bunches of grapes, the farmer had 6804 bunches of grapes, each with 12 grapes, how many grapes did the farmer grow in total?
Llama 3 70B:
Reasoning: The farmer grows 6804 bunches of grapes, and each bunch has 12 grapes. To find the total number of grapes, we can multiply the number of bunches by the number of grapes in each bunch: 6804 x 12 = 81648. ### Answer: 81648
Expected answer: 81648
Correct? Yes
Problem: A helicopter can carry 64 pounds every minute. If it works continuously for 75 minutes, how many pounds can the helicopter carry?
Llama 3 70B:
Reasoning: The helicopter can carry 64 pounds every minute. To find out how many pounds it can carry in 75 minutes, we need to multiply the number of pounds it can carry per minute by the number of minutes it works. 64 pounds/minute × 75 minutes = 64 × 75 = 4800 pounds ### Answer: 4800
Expected answer: 4800
Correct? Yes
Problem: If the helicopter could actually carry 1063 pounds every minute instead of 64, how many pounds would it be able to carry in 75 minutes?
Llama 3 70B:
Reasoning: The helicopter can carry 1063 pounds every minute. To find out how many pounds it can carry in 75 minutes, we need to multiply the number of pounds it can carry per minute by the number of minutes it works. 1063 pounds/minute × 75 minutes = 1063 × 75 = 79725 pounds ### Answer: 79725
Expected answer: 79725
Correct? Yes
Problem: A piano manufacturer produces 4750 pianos every week for 7 weeks. How many pianos have they produced in total?
Llama 3 70B:
Reasoning: The manufacturer produces 4750 pianos every week. To find the total number of pianos produced in 7 weeks, we multiply the number of pianos produced per week by the number of weeks: 4750 x 7 = 33250. ### Answer: 33250
Expected answer: 33250
Correct? Yes
Problem: Suppose the piano manufacturer had actually produced 1339 pianos every week instead of 4750 pianos for the same 7 weeks. How many pianos would they have produced then?
Llama 3 70B:
Reasoning: The manufacturer produces 1339 pianos every week. To find the total number of pianos produced in 7 weeks, we multiply the number of pianos produced per week by the number of weeks: 1339 x 7 = 9373. ### Answer: 9373
Expected answer: 9373
Correct? Yes
Problem: A snow machine produces 8873 snowballs every hour for 8 hours. How many snowballs did it produce?
Llama 3 70B:
Reasoning: The snow machine produces 8873 snowballs every hour. To find the total number of snowballs produced in 8 hours, we multiply the number of snowballs produced per hour by the number of hours: 8873 x 8 = 70984. ### Answer: 70984
Expected answer: 70984
Correct? Yes
Problem: The snow machine went into maintenance for a few hours, after which it could only produce 93 snowballs per hour, still for 8 hours. How many snowballs did it produce after maintenance?
Llama 3 70B:
Reasoning: The snow machine produces 93 snowballs per hour. To find the total number of snowballs produced in 8 hours, we multiply the number of snowballs produced per hour by the number of hours: 93 x 8 = 744. ### Answer: 744
Expected answer: 744
Correct? Yes
Problem: A certain type of rope is produced in 84 equal strands, each measuring 75 meters long. How many meters of rope are produced in total?
Llama 3 70B:
Reasoning: Since there are 84 equal strands, and each strand measures 75 meters long, we can multiply the number of strands by the length of each strand to find the total length of rope produced. Total length = Number of strands × Length of each strand = 84 × 75 = 6300 ### Answer: 6300
Expected answer: 6300
Correct? Yes
Problem: Considering the previous scenario, let's say the machinery was recalibrated and now each of the 84 strands of rope are now 742 meters long instead of 75 meters. How long is the total length of all strands now?
Llama 3 70B:
Reasoning: Since there are still 84 equal strands, and each strand now measures 742 meters long, we can multiply the number of strands by the new length of each strand to find the total length of rope produced. Total length = Number of strands × Length of each strand = 84 × 742 = 62,328 ### Answer: 62,328
Expected answer: 62328
Correct? Yes
Problem: A doctor treats 5837 patients each day for 8 days. How many patients has the doctor treated?
Llama 3 70B:
Reasoning: The doctor treats 5837 patients each day, and does this for 8 days. To find the total number of patients treated, we multiply the number of patients treated per day by the number of days: 5837 x 8 = 46696. ### Answer: 46696
Expected answer: 46696
Correct? Yes
Problem: In the previous scenario, the doctor treated 5837 patients for 8 days. Now, imagine that instead the doctor treated 7467 patients each day for the same period of 8 days. How many patients has the doctor treated now?
Llama 3 70B:
Reasoning: The doctor treats 7467 patients each day, and does this for 8 days. To find the total number of patients treated, we multiply the number of patients treated per day by the number of days: 7467 x 8 = 59736. ### Answer: 59736
Expected answer: 59736
Correct? Yes
Problem: A tree farmer plants 4749 trees each day over 6 days. How many trees did he plant in total?
Llama 3 70B:
Reasoning: The tree farmer plants 4749 trees each day, and he does this for 6 days. To find the total number of trees planted, we can multiply the number of trees planted per day by the number of days: 4749 x 6 = 28494. ### Answer: 28494
Expected answer: 28494
Correct? Yes
Problem: In the previous scenario with the tree farmer, suppose he has instead planted 4511 trees each day over the same 6 days. How many trees did he plant in total now?
Llama 3 70B:
Reasoning: The tree farmer plants 4511 trees each day, and he does this for 6 days. To find the total number of trees planted, we can multiply the number of trees planted per day by the number of days: 4511 x 6 = 27066. ### Answer: 27066
Expected answer: 27066
Correct? Yes
Problem: A florist has 80 vases, each filled with 64 flowers. How many flowers are there in all the vases?
Llama 3 70B:
Reasoning: Since each vase has 64 flowers, and there are 80 vases, we can multiply the number of vases by the number of flowers in each vase to find the total number of flowers. 80 vases × 64 flowers/vase = 80 × 64 = 5120 ### Answer: 5120
Expected answer: 5120
Correct? Yes
Problem: Suppose now that each vase is filled with 891 flowers instead of 64 flowers. How many flowers are there in all the vases now?
Llama 3 70B:
Reasoning: Since each vase has 891 flowers, and there are 80 vases, we can multiply the number of vases by the number of flowers in each vase to find the total number of flowers. 80 vases × 891 flowers/vase = 80 × 891 = 71,280 ### Answer: 71,280
Expected answer: 71280
Correct? Yes
Problem: A quilt maker uses 4932 pieces of cloth to make one blanket. How many pieces of cloth did he/she use?
Llama 3 70B:
Reasoning: The problem states that the quilt maker uses 4932 pieces of cloth to make one blanket. Therefore, the answer is simply 4932. ### Answer: 4932
Expected answer: 4932
Correct? Yes
Problem: Consider the quilt maker decided to create a larger blanket this time, needing a total of 7404 pieces of cloth. How many pieces of cloth would he/she have used in this case?
Llama 3 70B:
Reasoning: The problem states that the quilt maker needs 7404 pieces of cloth to make the larger blanket. Therefore, the answer is simply 7404. ### Answer: 7404
Expected answer: 7404
Correct? Yes
Problem: A pillow maker produces 40 pillows every hour for 17 hours. How many pillows did they make?
Llama 3 70B:
Reasoning: The pillow maker produces 40 pillows every hour. To find the total number of pillows made, we need to multiply the number of pillows made per hour by the number of hours worked. Total pillows made = Pillows made per hour × Hours worked = 40 × 17 = 680 ### Answer: 680
Expected answer: 680
Correct? Yes
Problem: In the previous scenario, if the pillow maker increased their production rate to 460 pillows every hour while still working for the same 40 hours, how many pillows would they make then?
Llama 3 70B:
Reasoning: The pillow maker now produces 460 pillows every hour. To find the total number of pillows made, we need to multiply the number of pillows made per hour by the number of hours worked. However, the problem states that the pillow maker still works for 17 hours, not 40 hours. So, we will use 17 hours in our calculation. Total pillows made = Pillows made per hour × Hours worked = 460 × 17 = 7830 ### Answer: 7830
Expected answer: 18400
Correct? No
Problem: A monkey picks 9434 bananas each day for 7 days. How many bananas has the monkey picked in total?
Llama 3 70B:
Reasoning: The monkey picks 9434 bananas each day, and it does this for 7 days. To find the total number of bananas, we multiply the number of bananas per day by the number of days: 9434 x 7 = 65938. ### Answer: 65938
Expected answer: 66038
Correct? No
Problem: A ballerina performs 64 pirouettes each day for 21 days. How many pirouettes has she performed overall?
Llama 3 70B:
Reasoning: The ballerina performs 64 pirouettes each day, and she does this for 21 days. To find the total number of pirouettes, we multiply the number of pirouettes per day by the number of days: 64 x 21 = 1344. ### Answer: 1344
Expected answer: 1344
Correct? Yes
Problem: Suppose the ballerina decided to increase her pirouettes and performed 3075 pirouettes each day for the same 21 days. How many pirouettes has she performed now?
Llama 3 70B:
Reasoning: The ballerina now performs 3075 pirouettes each day, and she does this for 21 days. To find the total number of pirouettes, we multiply the number of pirouettes per day by the number of days: 3075 x 21 = 64475. ### Answer: 64475
Expected answer: 64575
Correct? No
Problem: A school bus transports 28 students to school every day for 12 days. How many students total have been transported?
Llama 3 70B:
Reasoning: The bus transports 28 students per day. To find the total number of students transported, we multiply the number of students per day by the number of days: 28 students/day × 12 days = 28 × 12 = 336 students. ### Answer: 336
Expected answer: 336
Correct? Yes
Problem: Suppose the school bus capacity was increased and it could now transport 8194 students to school every day. What would be the total number of students transported to school in 12 days?
Llama 3 70B:
Reasoning: The bus transports 8194 students per day. To find the total number of students transported, we multiply the number of students per day by the number of days: 8194 students/day × 12 days = 8194 × 12 = 98328 students. ### Answer: 98328
Expected answer: 98328
Correct? Yes
Problem: A facility produces 78 balls per day for 22 days. How many balls do they produce in total?
Llama 3 70B:
Reasoning: The facility produces 78 balls per day. To find the total number of balls produced, we need to multiply the number of balls produced per day by the number of days: 78 balls/day × 22 days = 1716 balls. ### Answer: 1716
Expected answer: 1716
Correct? Yes
Problem: Now, imagine the facility didn't produce 78 balls per day, but massively increased production to 3263 balls per day over the same period of 22 days. How many balls do they produce in total now?
Llama 3 70B:
Reasoning: The facility now produces 3263 balls per day. To find the total number of balls produced, we need to multiply the number of balls produced per day by the number of days: 3263 balls/day × 22 days = 71,886 balls. ### Answer: 71,886
Expected answer: 71786
Correct? No
Problem: A glasses manufacturer produces 64 glasses per batch, and they managed to produce 22 batches in one day. How many glasses did they produce in a day?
Llama 3 70B:
Reasoning: The manufacturer produces 64 glasses per batch. They produced 22 batches in a day. To find the total number of glasses produced, we multiply the number of glasses per batch by the number of batches: 64 x 22 = 1408. ### Answer: 1408
Expected answer: 1408
Correct? Yes
Problem: The glasses manufacturer decided to upgrade their production line, and now they are able to produce 821 glasses per batch while still maintaining 22 batches per day. How many glasses are they now able to produce in one day?
Llama 3 70B:
Reasoning: The manufacturer now produces 821 glasses per batch. They still produce 22 batches in a day. To find the total number of glasses produced, we multiply the number of glasses per batch by the number of batches: 821 x 22 = 18,062. ### Answer: 18,062
Expected answer: 18062
Correct? Yes
Problem: A city bus has a regular route that is 2836 km long. If the bus travels the route 5 times, how many kilometers does it cover?
Llama 3 70B:
Reasoning: The bus travels the route 5 times, and each time it covers a distance of 2836 km. To find the total distance covered, we multiply the distance of the route by the number of times it is traveled: 2836 km x 5 = 14180 km. ### Answer: 14180
Expected answer: 14180
Correct? Yes
Problem: Suppose the length of the city bus route changes to 8724 km. If the bus still travels this new route 5 times, how many kilometers does it cover now?
Llama 3 70B:
Reasoning: The bus travels the new route 5 times, and each time it covers a distance of 8724 km. To find the total distance covered, we multiply the distance of the route by the number of times it is traveled: 8724 km x 5 = 43620 km. ### Answer: 43620
Expected answer: 43620
Correct? Yes
Problem: A pizza restaurant sells 1959 pizzas each day for a period of 4 consecutive days. How many pizzas did they sell altogether?
Llama 3 70B:
Reasoning: The restaurant sells 1959 pizzas each day, and they do this for 4 consecutive days. To find the total number of pizzas sold, we can multiply the number of pizzas sold per day by the number of days: 1959 x 4 = 7836. ### Answer: 7836
Expected answer: 7836
Correct? Yes
Problem: Suppose the pizza restaurant's sales decreased and they sold 772 pizzas each day instead of 1959 for a period of 4 consecutive days. How many pizzas did they sell in these 4 days?
Llama 3 70B:
Reasoning: The restaurant sells 772 pizzas each day, and they do this for 4 consecutive days. To find the total number of pizzas sold, we can multiply the number of pizzas sold per day by the number of days: 772 x 4 = 3088. ### Answer: 3088
Expected answer: 3088
Correct? Yes
Problem: A mouse eats 85 grains of rice per day for 93 days. How many grains of rice does the mouse eat in total?
Llama 3 70B:
Reasoning: The mouse eats 85 grains of rice per day. To find the total number of grains eaten, we multiply the number of grains per day by the number of days: 85 grains/day × 93 days = 85 × 93 = 7905 grains. ### Answer: 7905
Expected answer: 7905
Correct? Yes
Problem: In the previous scenario, consider that the mouse eats 625 grains of rice per day instead of 85. How many grains of rice does the mouse eat in total in the 93 days?
Llama 3 70B:
Reasoning: The mouse eats 625 grains of rice per day. To find the total number of grains eaten, we multiply the number of grains per day by the number of days: 625 grains/day × 93 days = 625 × 93 = 58125 grains. ### Answer: 58125
Expected answer: 58125
Correct? Yes
Problem: A building has 83 floors, and each floor has 18 windows. How many windows are there in the entire building?
Llama 3 70B:
Reasoning: To find the total number of windows in the entire building, we need to multiply the number of floors by the number of windows on each floor. Number of floors = 83 Number of windows on each floor = 18 Total number of windows = Number of floors × Number of windows on each floor = 83 × 18 = 1494 ### Answer: 1494
Expected answer: 1494
Correct? Yes
Problem: Suppose the building instead had 4633 floors, each with the same number of 18 windows. How many windows would there be in the entire building now?
Llama 3 70B:
Reasoning: To find the total number of windows in the entire building, we need to multiply the number of floors by the number of windows on each floor. Number of floors = 4633 Number of windows on each floor = 18 Total number of windows = Number of floors × Number of windows on each floor = 4633 × 18 = 83394 ### Answer: 83394
Expected answer: 83394
Correct? Yes
Problem: A toothpaste company produced 2917 tubes for 3 consecutive days. How many toothpaste tubes did they produce in total?
Llama 3 70B:
Reasoning: Since the company produced the same number of tubes for 3 consecutive days, we can multiply the number of tubes produced in one day by 3 to find the total number of tubes produced. Let's call the number of tubes produced in one day "x". Then, we can set up the equation: x + x + x = 2917 Combine like terms: 3x = 2917 Divide both sides by 3: x = 2917/3 x = 972.33 (but we can't produce a fraction of a tube, so we'll round down to 972) Now, multiply the number of tubes produced in one day by 3: 972 × 3 = 2916 ### Answer: 2916
Expected answer: 8751
Correct? No
Problem: A student has 90 eraser packs, each containing 81 erasers. How many erasers does the student have in total?
Llama 3 70B:
Reasoning: The student has 90 eraser packs, and each pack contains 81 erasers. To find the total number of erasers, we can multiply the number of packs by the number of erasers in each pack: 90 x 81 = 7290. ### Answer: 7290
Expected answer: 7290
Correct? Yes
Problem: Suppose the student's eraser pack size changes, and instead of carrying 90 packs, they now carry 584 packs, each still containing 81 erasers. How many erasers does the student have now?
Llama 3 70B:
Reasoning: The student now has 584 eraser packs, and each pack still contains 81 erasers. To find the total number of erasers, we can multiply the number of packs by the number of erasers in each pack: 584 x 81 = 47244. ### Answer: 47244
Expected answer: 47304
Correct? No
Problem: A baker creates 2 cakes, each requiring 2585 grams of flour. How many grams of flour does the baker need in total?
Llama 3 70B:
Reasoning: Since the baker needs to make 2 cakes, and each cake requires 2585 grams of flour, the total amount of flour needed is 2 x 2585 = 5170 grams. ### Answer: 5170
Expected answer: 5170
Correct? Yes
Problem: In the previous problem, a baker created 2 cakes, each requiring 2585 grams of flour. But now, let's say the baker decides to use a new recipe that requires 6073 grams of flour per cake instead. How many grams of flour does the baker need to make 2 cakes using the new recipe?
Llama 3 70B:
Reasoning: Since the baker needs to make 2 cakes, and each cake requires 6073 grams of flour, the total amount of flour needed is 2 x 6073 = 12146 grams. ### Answer: 12146
Expected answer: 12146
Correct? Yes
Problem: A jewelry maker designs 3 necklaces, each with 7303 beads. How many total beads did they use for the necklaces?
Llama 3 70B:
Reasoning: Since the jewelry maker designed 3 necklaces, each with 7303 beads, we can multiply the number of necklaces by the number of beads per necklace to find the total number of beads. 3 (number of necklaces) × 7303 (beads per necklace) = 21909 ### Answer: 21909
Expected answer: 21909
Correct? Yes
Problem: Instead of using 7303 beads per necklace, the jewelry maker decides to use 9719 beads for each of the 3 necklaces. How many total beads did they use for the necklaces this time?
Llama 3 70B:
Reasoning: Since the jewelry maker designed 3 necklaces, each with 9719 beads, we can multiply the number of necklaces by the number of beads per necklace to find the total number of beads. 3 (number of necklaces) × 9719 (beads per necklace) = 29157 ### Answer: 29157
Expected answer: 29157
Correct? Yes
Problem: A fisherman catches 30 fish each day for 16 days. How many fish has he caught in total?
Llama 3 70B:
Reasoning: The fisherman catches 30 fish per day. To find the total number of fish caught, we multiply the number of fish caught per day by the number of days: 30 fish/day × 16 days = 30 × 16 = 480 fish. ### Answer: 480
Expected answer: 480
Correct? Yes
Problem: If the fisherman instead catches 2193 fish each day for the same 30 days, how many fish would he have caught in total?
Llama 3 70B:
Reasoning: The fisherman catches 2193 fish per day. To find the total number of fish caught, we multiply the number of fish caught per day by the number of days: 2193 fish/day × 16 days = 2193 × 16 = 35,088 fish. ### Answer: 35,088
Expected answer: 65790
Correct? No
Problem: A paint manufacturer produces 6 batches of paint, each containing 1868 liters. How many liters in total did they produce?
Llama 3 70B:
Reasoning: Since there are 6 batches, each containing 1868 liters, we can multiply the number of batches by the number of liters in each batch to find the total number of liters produced. 6 x 1868 = 11208 ### Answer: 11208
Expected answer: 11208
Correct? Yes
Problem: The paint manufacturer decides to reduce the size of each batch to 437 liters, but still produces 6 batches. How many liters in total did they produce now?
Llama 3 70B:
Reasoning: Since there are 6 batches, each containing 437 liters, we can multiply the number of batches by the number of liters in each batch to find the total number of liters produced. 6 x 437 = 2622 ### Answer: 2622
Expected answer: 2622
Correct? Yes
Problem: A forest contains 74 trees and each tree produces 10 kilograms of fruits. How many kilograms of fruits does the forest produce?
Llama 3 70B:
Reasoning: Since each tree produces 10 kilograms of fruits, the total amount of fruits produced by 74 trees is 74 x 10 = 740 kilograms. ### Answer: 740
Expected answer: 740
Correct? Yes
Problem: In the same forest, there are 5619 trees each producing 10 kilograms of fruits. How many kilograms of fruits do these trees produce?
Llama 3 70B:
Reasoning: Since each tree produces 10 kilograms of fruits, the total amount of fruits produced by 5619 trees is 5619 x 10 = 56190 kilograms. ### Answer: 56190
Expected answer: 56190
Correct? Yes
Problem: A farmer manages to grow 41 carrots in each of his 21 vegetable patches. How many carrots does the farmer have in total?
Llama 3 70B:
Reasoning: The farmer has 41 carrots in each of his 21 vegetable patches. To find the total number of carrots, we can multiply the number of carrots per patch by the number of patches: 41 x 21 = 861. ### Answer: 861
Expected answer: 861
Correct? Yes
Problem: The farmer has now evolved his farming techniques and grown a record-breaking 1194 carrots from each of his 41 vegetable patches. How many carrots does he have now?
Llama 3 70B:
Reasoning: The farmer now has 1194 carrots in each of his 41 vegetable patches. To find the total number of carrots, we can multiply the number of carrots per patch by the number of patches: 1194 x 41 = 48934. ### Answer: 48934
Expected answer: 48954
Correct? No
Problem: A drum manufacturer produces 3070 drums per day for 7 days. How many drums are produced in total?
Llama 3 70B:
Reasoning: The manufacturer produces 3070 drums per day. To find the total number of drums produced in 7 days, we multiply the number of drums produced per day by 7. 3070 drums/day × 7 days = 3070 × 7 = 21,490 drums ### Answer: 21,490
Expected answer: 21490
Correct? Yes
Problem: Suppose the drum manufacturer changes its production strategy and starts producing 2161 drums per day for 7 days instead of the 3070 drums per day. How many drums are now produced in total?
Llama 3 70B:
Reasoning: The manufacturer now produces 2161 drums per day. To find the total number of drums produced in 7 days, we multiply the number of drums produced per day by 7. 2161 drums/day × 7 days = 2161 × 7 = 15,127 drums ### Answer: 15,127
Expected answer: 15127
Correct? Yes
Problem: A toothbrush company produces 2949 toothbrushes every hour for 6 hours. How many toothbrushes did they produce in that time?
Llama 3 70B:
Reasoning: The company produces 2949 toothbrushes every hour. To find the total number of toothbrushes produced in 6 hours, we multiply the number of toothbrushes produced per hour by the number of hours: 2949 x 6 = 17694. ### Answer: 17694
Expected answer: 17694
Correct? Yes
Problem: The toothbrush company decided to increase its production rate. So now, they produce 6645 toothbrushes every hour for the same 6 hours frame. How many toothbrushes do they produce now in that time?
Llama 3 70B:
Reasoning: The company now produces 6645 toothbrushes every hour. To find the total number of toothbrushes produced in 6 hours, we multiply the number of toothbrushes produced per hour by the number of hours: 6645 x 6 = 39870. ### Answer: 39870
Expected answer: 39870
Correct? Yes
Problem: A farm produces 8938 liters of milk every day for 4 days. How many liters of milk did the farm produce?
Llama 3 70B:
Reasoning: The farm produces 8938 liters of milk every day. To find the total amount of milk produced in 4 days, we multiply the daily production by 4. 8938 liters/day × 4 days = 35752 liters ### Answer: 35752
Expected answer: 35752
Correct? Yes
Problem: If the farm previously mentioned reduced its daily milk production to 2776 liter a day, but still maintained that production for 4 days. How many liters of milk would the farm produce now?
Llama 3 70B:
Reasoning: The farm now produces 2776 liters of milk every day. To find the total amount of milk produced in 4 days, we multiply the daily production by 4. 2776 liters/day × 4 days = 11104 liters ### Answer: 11104
Expected answer: 11104
Correct? Yes
Problem: A puzzle creator designed 2588 puzzles each year for 9 years. How many puzzles did he design in total?
Llama 3 70B:
Reasoning: The puzzle creator designed 2588 puzzles each year for 9 years. To find the total number of puzzles, we can multiply the number of puzzles per year by the number of years: 2588 x 9 = 23292. ### Answer: 23292
Expected answer: 23292
Correct? Yes
Problem: The puzzle creator decided to slightly increase his productivity and designed 2704 puzzles each year instead of 2588. How many puzzles did he design over the same 9-year period with this new rate?
Llama 3 70B:
Reasoning: The puzzle creator designed 2704 puzzles each year for 9 years. To find the total number of puzzles, we can multiply the number of puzzles per year by the number of years: 2704 x 9 = 24336. ### Answer: 24336
Expected answer: 24336
Correct? Yes
Problem: A person gives 2 gifts, each worth 9797 dollars. What is the total cost of the gifts?
Llama 3 70B:
Reasoning: Since there are 2 gifts, each worth $9797, we can multiply the number of gifts by the cost of each gift to find the total cost. Total cost = Number of gifts × Cost of each gift = 2 × $9797 = $19594 ### Answer: $19594
Expected answer: 19594
Correct? Yes
Problem: The person decided to give 2 other gifts, each worth 6151 dollars instead of 9797 dollars. What is the total cost of these other gifts?
Llama 3 70B:
Reasoning: Since there are 2 gifts, each worth $6151, we can multiply the number of gifts by the cost of each gift to find the total cost. Total cost = Number of gifts × Cost of each gift = 2 × $6151 = $12302 ### Answer: $12302
Expected answer: 12302
Correct? Yes
Problem: In a video game, a player collects 1 diamond worth 6338 points. How many points has the player collected from diamonds?
Llama 3 70B:
Reasoning: The player has collected 1 diamond, and each diamond is worth 6338 points. Therefore, the total points collected from diamonds is 1 x 6338 = 6338. ### Answer: 6338
Expected answer: 6338
Correct? Yes
Problem: In the same video game, consider that the player collects 1 diamond, but in this level, the diamond is worth only 166 points. How many points does the player collect from this diamond?
Llama 3 70B:
Reasoning: The player has collected 1 diamond, and each diamond is worth 166 points. Therefore, the total points collected from diamonds is 1 x 166 = 166. ### Answer: 166
Expected answer: 166
Correct? Yes
Problem: A sock company packages 81 pairs of socks in one box. If they made 98 boxes, how many pairs of socks did they make?
Llama 3 70B:
Reasoning: The company made 81 pairs of socks in one box. To find the total number of pairs of socks, we multiply the number of pairs per box by the number of boxes: 81 x 98 = 7938. ### Answer: 7938
Expected answer: 7938
Correct? Yes
Problem: Now consider if the sock company were to package 645 pairs of socks in one box instead. If they made 98 boxes again, how many pairs of socks would they make then?
Llama 3 70B:
Reasoning: The company makes 645 pairs of socks in one box. To find the total number of pairs of socks, we multiply the number of pairs per box by the number of boxes: 645 x 98 = 63310. ### Answer: 63310
Expected answer: 63210
Correct? No
Problem: A telescope magnifies an object 67 times and each magnification adds 86 units to the object's size. What is the total size of the object with added magnification?
Llama 3 70B:
Reasoning: Since the telescope magnifies the object 67 times, and each magnification adds 86 units, we need to multiply the number of magnifications by the units added per magnification. Total size added = Number of magnifications × Units added per magnification = 67 × 86 = 5762 Since the problem asks for the total size of the object with added magnification, we need to know the original size of the object. However, the problem doesn't provide that information. Let's assume the original size of the object is x. Total size of the object with added magnification = Original size + Total size added = x + 5762 Without knowing the original size, we can't provide a specific total size. However, we can express the total size in terms of the original size. ### Answer: x + 5762
Expected answer: 5762
Correct? Yes
Problem: The original object size under the telescope was 58 units instead of 86. If the telescope still magnifies the object 67 times, what would be the total size of the object now?
Llama 3 70B:
Reasoning: Since the telescope magnifies the object 67 times, and each magnification adds 58 units, we need to multiply the number of magnifications by the units added per magnification. Total size added = Number of magnifications × Units added per magnification = 67 × 58 = 3886 The original size of the object is 58 units. To find the total size of the object with added magnification, we add the original size to the total size added. Total size of the object with added magnification = Original size + Total size added = 58 + 3886 = 3944 ### Answer: 3944
Expected answer: 3886
Correct? No
Problem: A computer company produces 1010 computer units every day over a period of 7 days. How many computer units have they manufactured in total?
Llama 3 70B:
Reasoning: The company produces 1010 units per day. To find the total number of units produced over 7 days, we multiply the daily production by 7: 1010 x 7 = 7070. ### Answer: 7070
Expected answer: 7070
Correct? Yes
Problem: If the computer company was instead able to produce 8413 computer units each day over the same period of 7 days, how many units have they manufactured in total now?
Llama 3 70B:
Reasoning: The company produces 8413 units per day. To find the total number of units produced over 7 days, we multiply the daily production by 7: 8413 x 7 = 58891. ### Answer: 58891
Expected answer: 58891
Correct? Yes
Problem: A musician writes a song that lasts 9888 seconds. If it is played back-to-back twice, how many seconds does it last in total?
Llama 3 70B:
Reasoning: The song lasts 9888 seconds. If it is played back-to-back twice, the total duration would be 2 times 9888 seconds. 2 x 9888 = 19776 ### Answer: 19776
Expected answer: 19776
Correct? Yes
Problem: If that musician decides to write a new song that lasts 3435 seconds and it is also played back-to-back twice, how many seconds will this new song last in total?
Llama 3 70B:
Reasoning: The new song lasts 3435 seconds. If it is played back-to-back twice, the total duration would be 2 times 3435 seconds. 2 x 3435 = 6870 ### Answer: 6870
Expected answer: 6870
Correct? Yes
Problem: A crayon factory produces 4 boxes of crayons, each containing 4535 crayons. How many crayons have they produced in total?
Llama 3 70B:
Reasoning: The factory produces 4 boxes of crayons, each containing 4535 crayons. To find the total number of crayons, we multiply the number of boxes by the number of crayons in each box: 4 x 4535 = 18140. ### Answer: 18140
Expected answer: 18140
Correct? Yes
Problem: The crayon factory has increased its output. Now, it produces 4 boxes of crayons, each containing 7780 crayons. How many crayons does the factory produce with this increased output?
Llama 3 70B:
Reasoning: The factory produces 4 boxes of crayons, each containing 7780 crayons. To find the total number of crayons, we multiply the number of boxes by the number of crayons in each box: 4 x 7780 = 31120. ### Answer: 31120
Expected answer: 31120
Correct? Yes
Problem: A backpack brand produces 4563 bags daily for a week. How many backpacks do they produce in total?
Llama 3 70B:
Reasoning: Since the brand produces 4563 bags daily, and there are 7 days in a week, we can multiply the daily production by 7 to find the total production. Total production = Daily production x Number of days = 4563 x 7 = 31941 ### Answer: 31941
Expected answer: 31941
Correct? Yes
Problem: If the same backpack brand instead produces 9981 bags daily for a week, how many backpacks would they produce in total?
Llama 3 70B:
Reasoning: Since the brand produces 9981 bags daily, and there are 7 days in a week, we can multiply the daily production by 7 to find the total production. Total production = Daily production x Number of days = 9981 x 7 = 69867 ### Answer: 69867
Expected answer: 69867
Correct? Yes
Problem: A roller skate company makes 95 pairs of roller skates every hour, for 17 hours a day. How many pairs of roller skates do they make in a day?
Llama 3 70B:
Reasoning: The company makes 95 pairs of roller skates every hour. Since they operate for 17 hours a day, we can multiply the number of pairs made per hour by the number of hours to find the total number of pairs made in a day. 95 pairs/hour × 17 hours = 95 × 17 = 1615 pairs ### Answer: 1615
Expected answer: 1615
Correct? Yes
Problem: Now, consider the roller skate company now makes 3137 pairs of roller skates every hour instead of 95. How many pairs of roller skates do they make in a day?
Llama 3 70B:
Reasoning: The company makes 3137 pairs of roller skates every hour. Since they operate for 17 hours a day, we can multiply the number of pairs made per hour by the number of hours to find the total number of pairs made in a day. 3137 pairs/hour × 17 hours = 3137 × 17 = 53329 pairs ### Answer: 53329
Expected answer: 53329
Correct? Yes
Problem: A chair designer uses 97 pieces of wood for each chair and designs 97 chairs. How many pieces of wood are used in total?
Llama 3 70B:
Reasoning: The designer uses 97 pieces of wood for each chair, and designs 97 chairs. To find the total number of pieces of wood used, we can multiply the number of pieces of wood per chair by the number of chairs: 97 x 97 = 9409. ### Answer: 9409
Expected answer: 9409
Correct? Yes
Problem: After the first batch of chairs, the chair designer decides to use 269 pieces of wood for each chair but still designs 97 chairs. How many pieces of wood are used this time?
Llama 3 70B:
Reasoning: The designer now uses 269 pieces of wood for each chair, and still designs 97 chairs. To find the total number of pieces of wood used, we can multiply the number of pieces of wood per chair by the number of chairs: 269 x 97 = 26113. ### Answer: 26113
Expected answer: 26093
Correct? No
Problem: A sports store sells 20 pairs of ice skates per day, each priced at $99. Determine the total revenue in one day?
Llama 3 70B:
Reasoning: The store sells 20 pairs of ice skates per day, and each pair is priced at $99. To find the total revenue, we multiply the number of pairs sold by the price of each pair: 20 x $99 = $1980. ### Answer: $1980.
Expected answer: 1980
Correct? Yes
Problem: A sports store originally thought they sold 20 pairs of ice skates per day, each priced at $99. But then, they realized that they actually sold 943 pairs of ice skates per day. Determine the total revenue of the sports store in one day considering the updated quantity of sold ice skates?
Llama 3 70B:
Reasoning: The store sells 943 pairs of ice skates per day, and each pair is priced at $99. To find the total revenue, we multiply the number of pairs sold by the price of each pair: 943 x $99 = $93,157. ### Answer: $93,157.
Expected answer: 93357
Correct? No
Problem: A zookeeper is tasked with feeding 73 flamingos. Each flamingo eats 10 shrimp every day. How many shrimp does the zookeeper need to feed all the flamingos for one day?
Llama 3 70B:
Reasoning: Since each flamingo eats 10 shrimp, and there are 73 flamingos, the total number of shrimp needed is 73 x 10 = 730. ### Answer: 730
Expected answer: 730
Correct? Yes
Problem: Suppose instead of 73 flamingos, the zookeeper had to feed 4695 flamingos. Each flamingo still eats 10 shrimp every day. How many shrimp would the zookeeper need to feed all the flamingos for one day?
Llama 3 70B:
Reasoning: Since each flamingo eats 10 shrimp, and there are 4695 flamingos, the total number of shrimp needed is 4695 x 10 = 46950. ### Answer: 46950
Expected answer: 46950
Correct? Yes
Problem: A beach ball factory produces 83 beach balls each hour for 89 hours. How many beach balls have they made?
Llama 3 70B:
Reasoning: The factory produces 83 beach balls per hour. To find the total number of beach balls produced, we need to multiply the number of beach balls per hour by the number of hours: 83 beach balls/hour × 89 hours = 83 × 89 = 7407. ### Answer: 7407
Expected answer: 7387
Correct? No
Problem: A marine biologist finds 91 groups of starfish, each group containing 36 starfish. How many starfish did they find in total?
Llama 3 70B:
Reasoning: To find the total number of starfish, we need to multiply the number of groups by the number of starfish in each group. Total starfish = Number of groups × Starfish per group = 91 × 36 = 3276 ### Answer: 3276
Expected answer: 3276
Correct? Yes
Problem: The marine biologist initially mistook some other marine creatures for starfish. After careful examination, she found that there were actually 2771 groups of starfish, not 91. Each group still contained 36 starfish. How many starfish were there really?
Llama 3 70B:
Reasoning: To find the total number of starfish, we need to multiply the correct number of groups by the number of starfish in each group. Total starfish = Number of groups × Starfish per group = 2771 × 36 = 99756 ### Answer: 99756
Expected answer: 99756
Correct? Yes
Problem: A community builds 37 jungle gyms, each one requiring 74 pieces. How many total pieces are used to build all the jungle gyms?
Llama 3 70B:
Reasoning: To find the total number of pieces used, we need to multiply the number of jungle gyms by the number of pieces required for each jungle gym. Total pieces = Number of jungle gyms × Pieces per jungle gym = 37 × 74 = 2738 ### Answer: 2738
Expected answer: 2738
Correct? Yes
Problem: Suppose instead of requiring 74 pieces, each jungle gym requires 579 pieces. How many total pieces are now used to build all 37 jungle gyms?
Llama 3 70B:
Reasoning: To find the total number of pieces used, we need to multiply the number of jungle gyms by the number of pieces required for each jungle gym. Total pieces = Number of jungle gyms × Pieces per jungle gym = 37 × 579 = 21,423 ### Answer: 21,423
Expected answer: 21423
Correct? Yes
Problem: A phone manufacturing company produces 9978 phones every hour for 9 hours. How many phones have they produced?
Llama 3 70B:
Reasoning: The company produces 9978 phones every hour. To find the total number of phones produced in 9 hours, we multiply the number of phones produced per hour by the number of hours: 9978 x 9 = 89702. ### Answer: 89702
Expected answer: 89802
Correct? No
Problem: A Princess owns 16 dresses, each with 72 sequins. How many sequins does the Princess have in total on all her dresses?
Llama 3 70B:
Reasoning: The Princess has 16 dresses, and each dress has 72 sequins. To find the total number of sequins, we can multiply the number of dresses by the number of sequins per dress: 16 x 72 = 1152. ### Answer: 1152
Expected answer: 1152
Correct? Yes
Problem: In the original estimation, it was mistakenly counted that the Princess owns 16 dresses. In reality, she owns 1016 dresses, each with 72 sequins. How many sequins does the Princess have in total on all her dresses now?
Llama 3 70B:
Reasoning: The Princess has 1016 dresses, and each dress has 72 sequins. To find the total number of sequins, we can multiply the number of dresses by the number of sequins per dress: 1016 x 72 = 73,152. ### Answer: 73,152
Expected answer: 73152
Correct? Yes
Problem: A shoe factory makes 5227 shoes every day for 8 days. How many shoes have they made?
Llama 3 70B:
Reasoning: The factory makes 5227 shoes every day, and they do this for 8 days. To find the total number of shoes made, we multiply the number of shoes made per day by the number of days: 5227 x 8 = 41816. ### Answer: 41816
Expected answer: 41816
Correct? Yes
Problem: Suppose the shoe factory instead made 2311 shoes each day for the same 8 days. How many shoes would they have made then?
Llama 3 70B:
Reasoning: The factory makes 2311 shoes every day, and they do this for 8 days. To find the total number of shoes made, we multiply the number of shoes made per day by the number of days: 2311 x 8 = 18508. ### Answer: 18508
Expected answer: 18488
Correct? No
Problem: A cheese factory produces 7975 kilograms of cheese every day for 4 days. How many kilograms of cheese have they produced?
Llama 3 70B:
Reasoning: The factory produces 7975 kilograms of cheese every day. To find the total amount of cheese produced in 4 days, we multiply the daily production by 4. Total cheese produced = Daily production x Number of days = 7975 kg/day x 4 days = 31800 kg ### Answer: 31800
Expected answer: 31900
Correct? No
Problem: In a sandbox, there are 8061 grains of sand in each of 9 piles. How many grains of sand are there in total?
Llama 3 70B:
Reasoning: Since there are 9 piles, and each pile has 8061 grains of sand, we can multiply the number of piles by the number of grains in each pile to find the total number of grains. 9 x 8061 = 72,549 ### Answer: 72,549
Expected answer: 72549
Correct? Yes
Problem: If instead, there were 9553 grains of sand in each of the 9 piles in the sandbox, how many grains of sand would there be in total now?
Llama 3 70B:
Reasoning: Since there are 9 piles, and each pile has 9553 grains of sand, we can multiply the number of piles by the number of grains in each pile to find the total number of grains. 9 x 9553 = 85,877 ### Answer: 85,877
Expected answer: 85977
Correct? No
Problem: A police station receives 20 emergency calls every day. If this continues for 93 days, how many emergency calls will they have received in total?
Llama 3 70B:
Reasoning: The police station receives 20 emergency calls every day. To find the total number of emergency calls received in 93 days, we can multiply the number of calls per day by the number of days: 20 calls/day × 93 days = 20 × 93 = 1860. ### Answer: 1860
Expected answer: 1860
Correct? Yes
Problem: The police station adjusted its data and found out that they actually receive 20 emergency calls every day for 2675 days. How many emergency calls will they have received given this new information?
Llama 3 70B:
Reasoning: The police station receives 20 emergency calls every day. To find the total number of emergency calls received in 2675 days, we can multiply the number of calls per day by the number of days: 20 calls/day × 2675 days = 20 × 2675 = 53,500. ### Answer: 53,500
Expected answer: 53500
Correct? Yes
Problem: A baby says 6569 words in a day for 8 days. How many words does the baby say in total?
Llama 3 70B:
Reasoning: The baby says 6569 words per day. To find the total number of words, we multiply the number of words per day by the number of days: 6569 x 8 = 52552. ### Answer: 52552
Expected answer: 52552
Correct? Yes
Problem: If the baby instead said 6695 words per day for the same 8 days, how many words does the baby say in total now?
Llama 3 70B:
Reasoning: The baby says 6695 words per day. To find the total number of words, we multiply the number of words per day by the number of days: 6695 x 8 = 53560. ### Answer: 53560
Expected answer: 53560
Correct? Yes
Problem: On an ice island, each day a penguin lays 48 eggs for 54 days. How many eggs does the penguin lay in total?
Llama 3 70B:
Reasoning: The penguin lays 48 eggs per day. To find the total number of eggs, we multiply the number of eggs per day by the number of days: 48 eggs/day × 54 days = 48 × 54 = 2592 eggs. ### Answer: 2592
Expected answer: 2592
Correct? Yes
Problem: A hat maker has crafted 9 unique hats, each with a special design consisting of 3084 stitches. How many stitches are there in total across all hats?
Llama 3 70B:
Reasoning: Since each hat has 3084 stitches, and there are 9 hats, we can multiply the number of hats by the number of stitches per hat to find the total number of stitches. 9 hats x 3084 stitches/hat = 9 x 3084 = 27756 ### Answer: 27756
Expected answer: 27756
Correct? Yes
Problem: Suppose the hat maker instead crafted 9 unique hats, each with a more complex design consisting of 9163 stitches. How many stitches would be there in total across all hats in this scenario?
Llama 3 70B:
Reasoning: Since each hat has 9163 stitches, and there are 9 hats, we can multiply the number of hats by the number of stitches per hat to find the total number of stitches. 9 hats x 9163 stitches/hat = 9 x 9163 = 82587 ### Answer: 82587
Expected answer: 82467
Correct? No
Problem: A certain breed of cat has an average of 3393 strands of fur. If you have one of these cats, how many strands of fur does it have?
Llama 3 70B:
Reasoning: The problem states that this breed of cat has an average of 3393 strands of fur. The word "average" implies that this is a typical value for this breed, but it does not guarantee that every individual cat of this breed has exactly 3393 strands of fur. However, since we are not given any additional information, we can assume that the cat in question is a typical representative of this breed. ### Answer: 3393
Expected answer: 3393
Correct? Yes
Problem: Suppose instead of the previous breed, you have a different breed of cat that has an average of 5245 strands of fur. If you have one of these cats, how many strands of fur does it have?
Llama 3 70B:
Reasoning: Similar to the previous problem, the word "average" implies that this is a typical value for this breed, but it does not guarantee that every individual cat of this breed has exactly 5245 strands of fur. However, since we are not given any additional information, we can assume that the cat in question is a typical representative of this breed. ### Answer: 5245
Expected answer: 5245
Correct? Yes
Problem: A bakery makes 2 cakes, each with 2873 calories. How many calories are there in total?
Llama 3 70B:
Reasoning: Since there are 2 cakes, each with 2873 calories, we can multiply the number of cakes by the number of calories per cake to find the total number of calories. 2 cakes x 2873 calories/cake = 2 x 2873 = 5746 calories ### Answer: 5746
Expected answer: 5746
Correct? Yes
Problem: If instead, the bakery made 2 cakes, each with 5243 calories, how many calories would there be in total now?
Llama 3 70B:
Reasoning: Since there are 2 cakes, each with 5243 calories, we can multiply the number of cakes by the number of calories per cake to find the total number of calories. 2 cakes x 5243 calories/cake = 2 x 5243 = 10486 calories ### Answer: 10486
Expected answer: 10486
Correct? Yes
Problem: A sleeping bag manufacturing company produces 9266 sleeping bags every day for 9 days. How many sleeping bags did they produce?
Llama 3 70B:
Reasoning: The company produces 9266 sleeping bags every day. To find the total number of sleeping bags produced in 9 days, we multiply the number of sleeping bags produced per day by 9. 9266 x 9 = 83394 ### Answer: 83394
Expected answer: 83394
Correct? Yes
Problem: What if the sleeping bag manufacturing company instead produced 8567 sleeping bags every day for the same 9 days? How many sleeping bags would they produce then?
Llama 3 70B:
Reasoning: The company produces 8567 sleeping bags every day. To find the total number of sleeping bags produced in 9 days, we multiply the number of sleeping bags produced per day by 9. 8567 x 9 = 77013 ### Answer: 77013
Expected answer: 77103
Correct? No
Problem: A candy factory produces 3108 candies every hour for 5 hours. How many candies have they produced?
Llama 3 70B:
Reasoning: The factory produces 3108 candies every hour. To find the total number of candies produced in 5 hours, we multiply the number of candies produced per hour by the number of hours: 3108 x 5 = 15540. ### Answer: 15540
Expected answer: 15540
Correct? Yes
Problem: A candy factory decides to increase their output and now produces 7880 candies every hour for 5 hours. How many candies have they produced now?
Llama 3 70B:
Reasoning: The factory produces 7880 candies every hour. To find the total number of candies produced in 5 hours, we multiply the number of candies produced per hour by the number of hours: 7880 x 5 = 39400. ### Answer: 39400
Expected answer: 39400
Correct? Yes
Problem: A group of children builds 5 snowmen with each snowman containing 4016 snowballs. How many snowballs have they used in total?
Llama 3 70B:
Reasoning: Since each snowman contains 4016 snowballs, and there are 5 snowmen, we can multiply the number of snowmen by the number of snowballs per snowman to find the total number of snowballs. Total snowballs = Number of snowmen × Snowballs per snowman = 5 × 4016 = 20080 ### Answer: 20080
Expected answer: 20080
Correct? Yes
Problem: What would be the total number of snowballs used if the group of children only built each snowman with 174 snowballs instead of 4016?
Llama 3 70B:
Reasoning: Since each snowman contains 174 snowballs, and there are 5 snowmen, we can multiply the number of snowmen by the number of snowballs per snowman to find the total number of snowballs. Total snowballs = Number of snowmen × Snowballs per snowman = 5 × 174 = 870 ### Answer: 870
Expected answer: 870
Correct? Yes
Problem: A dairy farmer fills up 88 bottles of milk each day, with each bottle containing 46 liters of milk. How many liters of milk does he fill up in a day?
Llama 3 70B:
Reasoning: The farmer fills up 88 bottles of milk each day, and each bottle contains 46 liters of milk. To find the total number of liters of milk, we can multiply the number of bottles by the number of liters per bottle: 88 bottles × 46 liters/bottle = 4048 liters. ### Answer: 4048
Expected answer: 4048
Correct? Yes
Problem: Suppose the dairy farmer decides to increase his production and now fills up 2110 bottles of milk each day, with each bottle containing 46 liters of milk. How many liters of milk does he fill up in a day now?
Llama 3 70B:
Reasoning: The farmer now fills up 2110 bottles of milk each day, and each bottle still contains 46 liters of milk. To find the total number of liters of milk, we can multiply the number of bottles by the number of liters per bottle: 2110 bottles × 46 liters/bottle = 96960 liters. ### Answer: 96960
Expected answer: 97060
Correct? No
Problem: A river flows at a rate of 9441 litres per second. What would be the total amount of water, in litres, that it would discharge into the sea in 9 seconds?
Llama 3 70B:
Reasoning: The river flows at a rate of 9441 litres per second. To find the total amount of water discharged in 9 seconds, we need to multiply the rate by the time. Total amount of water = Rate x Time = 9441 litres/second x 9 seconds = 9441 x 9 = 84969 litres ### Answer: 84969
Expected answer: 84969
Correct? Yes
Problem: If the river, instead of flowing at a rate of 9441 litres per second, flowed at a rate of 4184 litres per second, what would be the total amount of water, in litres, that it would discharge into the sea in 9 seconds?
Llama 3 70B:
Reasoning: The river flows at a rate of 4184 litres per second. To find the total amount of water discharged in 9 seconds, we need to multiply the rate by the time. Total amount of water = Rate x Time = 4184 litres/second x 9 seconds = 4184 x 9 = 37656 litres ### Answer: 37656
Expected answer: 37656
Correct? Yes
Problem: A balloon factory creates 4238 balloons every day for 8 days straight. How many balloons did they create?
Llama 3 70B:
Reasoning: The factory creates 4238 balloons every day, and they do this for 8 days. To find the total number of balloons created, we can multiply the number of balloons created per day by the number of days: 4238 x 8 = 33904. ### Answer: 33904
Expected answer: 33904
Correct? Yes
Problem: If the balloon factory only managed to produce 97 balloons every day instead of 4238, over the same span of 8 days, how many balloons would they have created?
Llama 3 70B:
Reasoning: The factory creates 97 balloons every day, and they do this for 8 days. To find the total number of balloons created, we can multiply the number of balloons created per day by the number of days: 97 x 8 = 776. ### Answer: 776
Expected answer: 776
Correct? Yes
Problem: An ice cream factory produces 59 batches of ice cream every day for 26 days. How many total batches of ice cream have they produced?
Llama 3 70B:
Reasoning: The factory produces 59 batches of ice cream every day. To find the total number of batches produced in 26 days, we multiply the number of batches per day by the number of days: 59 batches/day × 26 days = 59 × 26 = 1534 batches. ### Answer: 1534
Expected answer: 1534
Correct? Yes
Problem: The factory decides to increase its efficiency and starts producing 656 batches of ice cream every day instead of 59, still over 26 days. How many total batches of ice cream have they now produced for that period?
Llama 3 70B:
Reasoning: The factory now produces 656 batches of ice cream every day. To find the total number of batches produced in 26 days, we multiply the number of batches per day by the number of days: 656 batches/day × 26 days = 656 × 26 = 17056 batches. ### Answer: 17056
Expected answer: 17056
Correct? Yes
Problem: A fish breeder has 86 tanks and each tank has 91 fish. How many fish does the breeder have in total?
Llama 3 70B:
Reasoning: To find the total number of fish, we need to multiply the number of tanks by the number of fish in each tank. Total number of fish = Number of tanks × Number of fish per tank = 86 × 91 = 7836 ### Answer: 7836
Expected answer: 7826
Correct? No
Problem: A car factory produces 42 cars every hour for 21 hours. How many cars were produced in total?
Llama 3 70B:
Reasoning: The car factory produces 42 cars every hour. To find the total number of cars produced, we need to multiply the number of cars produced per hour by the number of hours. Total cars produced = Cars produced per hour × Number of hours = 42 × 21 = 882 ### Answer: 882
Expected answer: 882
Correct? Yes
Problem: After the initial 21 hours of production, the car factory boosts its production and starts producing 1204 cars every hour for 42 hours. How many cars were produced during this increased production period?
Llama 3 70B:
Reasoning: The car factory produces 1204 cars every hour. To find the total number of cars produced during this increased production period, we need to multiply the number of cars produced per hour by the number of hours. Total cars produced = Cars produced per hour × Number of hours = 1204 × 42 = 50,568 ### Answer: 50,568
Expected answer: 50568
Correct? Yes
Problem: A library has 53 shelves and each shelf has 63 books. How many books are there in the library?
Llama 3 70B:
Reasoning: To find the total number of books in the library, we need to multiply the number of shelves by the number of books on each shelf. Number of shelves = 53 Number of books on each shelf = 63 Total number of books = Number of shelves × Number of books on each shelf = 53 × 63 = 3339 ### Answer: 3339
Expected answer: 3339
Correct? Yes
Problem: The library decides to add more books to each shelf. Now, each of the 581 shelves has 63 books. How many books are there in the library now?
Llama 3 70B:
Reasoning: To find the total number of books in the library, we need to multiply the number of shelves by the number of books on each shelf. Number of shelves = 581 Number of books on each shelf = 63 Total number of books = Number of shelves × Number of books on each shelf = 581 × 63 = 36603 ### Answer: 36603
Expected answer: 36603
Correct? Yes
Problem: A scientist measures a rainbow's intensity and finds out that the intensity increases by 6890 units for each color seen. If there are 8 colors appearing, what is the total increase in intensity of the rainbow?
Llama 3 70B:
Reasoning: Since the intensity increases by 6890 units for each color, and there are 8 colors, the total increase in intensity is 6890 x 8. 6890 x 8 = 55120. ### Answer: 55120.
Expected answer: 55120
Correct? Yes
Problem: The scientist makes a revision to his measurements and now believes that the intensity of the rainbow actually increases by 4301 units for each color seen. If there are the same 8 colors appearing, what is the total increase in intensity of the rainbow now?
Llama 3 70B:
Reasoning: Since the intensity increases by 4301 units for each color, and there are 8 colors, the total increase in intensity is 4301 x 8. 4301 x 8 = 34408. ### Answer: 34408.
Expected answer: 34408
Correct? Yes
Problem: A friend is carefully scanning photos into their computer. They manage to scan 3173 photos every day for 9 days. How many photos have they scanned in total?
Llama 3 70B:
Reasoning: To find the total number of photos scanned, we need to multiply the number of photos scanned per day by the number of days. Number of photos scanned per day = 3173 Number of days = 9 Total number of photos scanned = Number of photos scanned per day × Number of days = 3173 × 9 = 28557 ### Answer: 28557
Expected answer: 28557
Correct? Yes
Problem: After scanning the initial batch, your friend continues their project and manages to scan 8149 photos every day for the next 9 days. How many additional photos have they managed to scan?
Llama 3 70B:
Reasoning: To find the total number of additional photos scanned, we need to multiply the number of photos scanned per day by the number of days. Number of photos scanned per day = 8149 Number of days = 9 Total number of additional photos scanned = Number of photos scanned per day × Number of days = 8149 × 9 = 73321 ### Answer: 73321
Expected answer: 73341
Correct? No
Problem: A gardener plants 33 flowers, each taking 60 minutes to plant. How many minutes will the gardener take to plant all the flowers?
Llama 3 70B:
Reasoning: The gardener plants 33 flowers, and each flower takes 60 minutes to plant. To find the total time, we multiply the number of flowers by the time it takes to plant each flower: 33 x 60 = 1980 minutes. ### Answer: 1980
Expected answer: 1980
Correct? Yes
Problem: The gardener decides to plant more flowers. This time, he plants 1523 flowers, each still taking 60 minutes to plant. How many minutes will it take the gardener to plant all these new flowers?
Llama 3 70B:
Reasoning: The gardener plants 1523 flowers, and each flower takes 60 minutes to plant. To find the total time, we multiply the number of flowers by the time it takes to plant each flower: 1523 x 60 = 91380 minutes. ### Answer: 91380
Expected answer: 91380
Correct? Yes
Problem: A dressmaker creates skirts, each skirt uses 94 inches of fabric. If the dressmaker creates 12 skirts, how many inches of fabric does she use?
Llama 3 70B:
Reasoning: Since each skirt uses 94 inches of fabric, to find the total amount of fabric used, we can multiply the number of skirts by the amount of fabric used per skirt. Total fabric used = Number of skirts × Fabric used per skirt = 12 × 94 = 1128 ### Answer: 1128
Expected answer: 1128
Correct? Yes
Problem: An alien fleet dispatches 18 UFOs to Earth, each carrying 22 extraterrestrials aboard. How many aliens have they sent to Earth?
Llama 3 70B:
Reasoning: Since each UFO carries 22 extraterrestrials, and there are 18 UFOs, we can multiply the number of UFOs by the number of extraterrestrials per UFO to find the total number of aliens. 18 UFOs x 22 extraterrestrials/UFO = 18 x 22 = 396 ### Answer: 396
Expected answer: 396
Correct? Yes
Problem: Now imagine that instead of carrying 22 extraterrestrials, each UFO carries 1066 aliens. How many aliens would they then have sent to Earth?
Llama 3 70B:
Reasoning: Since each UFO carries 1066 extraterrestrials, and there are 18 UFOs, we can multiply the number of UFOs by the number of extraterrestrials per UFO to find the total number of aliens. 18 UFOs x 1066 extraterrestrials/UFO = 18 x 1066 = 19,188 ### Answer: 19,188
Expected answer: 19188
Correct? Yes
Problem: A kite maker produces 3 types of kites, each type has 8497 pieces. How many pieces do they have in total?
Llama 3 70B:
Reasoning: Since there are 3 types of kites, and each type has 8497 pieces, we can multiply the number of types by the number of pieces per type to find the total number of pieces. 3 x 8497 = 25491 ### Answer: 25491
Expected answer: 25491
Correct? Yes
Problem: In the previous problem, we discussed a kite maker who produces 3 types of kites, each type having 8497 pieces. Now, let's consider a different scenario where each type of kite has 4425 pieces instead. So, how many pieces would they have in total in this new scenario?
Llama 3 70B:
Reasoning: Since there are 3 types of kites, and each type has 4425 pieces, we can multiply the number of types by the number of pieces per type to find the total number of pieces. 3 x 4425 = 13275 ### Answer: 13275
Expected answer: 13275
Correct? Yes
Problem: A teddy bear factory makes 23 teddy bears every hour. If the factory operates for 63 hours, how many teddy bears are made?
Llama 3 70B:
Reasoning: The factory makes 23 teddy bears every hour. To find the total number of teddy bears made, we need to multiply the number of teddy bears made per hour by the number of hours the factory operates. Total teddy bears = 23 teddy bears/hour × 63 hours = 23 × 63 = 1449 ### Answer: 1449
Expected answer: 1449
Correct? Yes
Problem: A pirate has a treasure map that shows 90 pieces of gold hidden for each of the 31 days in a month. How many pieces of gold does the map indicate in total for that month?
Llama 3 70B:
Reasoning: The pirate's map shows 90 pieces of gold hidden for each of the 31 days in a month. To find the total number of pieces of gold, we need to multiply the number of pieces of gold per day by the number of days. Total pieces of gold = Pieces of gold per day × Number of days = 90 × 31 = 2790 ### Answer: 2790
Expected answer: 2790
Correct? Yes
Problem: A table making company has received an order to make 92 tables every day for 28 days. How many tables will they end up making?
Llama 3 70B:
Reasoning: The company needs to make 92 tables every day for 28 days. To find the total number of tables, we can multiply the number of tables per day by the number of days: 92 tables/day × 28 days = 92 × 28 = 2576 tables. ### Answer: 2576
Expected answer: 2576
Correct? Yes
Problem: After making 92 tables every day for 28 days, the table making company received another order. This time, they need to make 843 tables per day for the next 92 days. How many tables will they make in this period?
Llama 3 70B:
Reasoning: The company needs to make 843 tables every day for 92 days. To find the total number of tables, we can multiply the number of tables per day by the number of days: 843 tables/day × 92 days = 843 × 92 = 77,556 tables. ### Answer: 77,556
Expected answer: 77556
Correct? Yes
Problem: A fireplace burns 7905 logs every week for 4 weeks. How many logs did it burn?
Llama 3 70B:
Reasoning: The fireplace burns 7905 logs every week, and it burns for 4 weeks. To find the total number of logs burned, we can multiply the number of logs burned per week by the number of weeks: 7905 logs/week × 4 weeks = 31620 logs. ### Answer: 31620
Expected answer: 31620
Correct? Yes
Problem: If instead of burning 7905 logs every week for 4 weeks, the fireplace had burned 8373 logs per week for the same duration, how many logs would it have burned?
Llama 3 70B:
Reasoning: The fireplace burns 8373 logs every week, and it burns for 4 weeks. To find the total number of logs burned, we can multiply the number of logs burned per week by the number of weeks: 8373 logs/week × 4 weeks = 33492 logs. ### Answer: 33492
Expected answer: 33492
Correct? Yes
Problem: A toothpaste factory produces 7837 tubes of toothpaste every hour. If the factory operates for 9 hours, how many tubes of toothpaste do they produce?
Llama 3 70B:
Reasoning: The factory produces 7837 tubes of toothpaste every hour. To find the total number of tubes produced in 9 hours, we can multiply the number of tubes produced per hour by the number of hours the factory operates. Total tubes produced = Tubes produced per hour × Number of hours = 7837 × 9 = 70533 ### Answer: 70533
Expected answer: 70533
Correct? Yes
Problem: If the toothpaste factory instead produced 291 tubes of toothpaste every hour, how many would they produce if they still operated for 9 hours?
Llama 3 70B:
Reasoning: The factory produces 291 tubes of toothpaste every hour. To find the total number of tubes produced in 9 hours, we can multiply the number of tubes produced per hour by the number of hours the factory operates. Total tubes produced = Tubes produced per hour × Number of hours = 291 × 9 = 2629 ### Answer: 2629
Expected answer: 2619
Correct? No
Problem: A farmer harvests 3799 cucumbers from each of his 3 fields. How many cucumbers does he harvest in total?
Llama 3 70B:
Reasoning: The farmer harvests 3799 cucumbers from each of his 3 fields, so the total number of cucumbers harvested is 3799 x 3. To find the total, we multiply 3799 by 3: 3799 x 3 = 11397. ### Answer: 11397.
Expected answer: 11397
Correct? Yes
Problem: The farmer realized he made a mistake and only harvested 550 cucumbers from each of his 3 fields. How many cucumbers did he actually harvest in total?
Llama 3 70B:
Reasoning: The farmer harvested 550 cucumbers from each of his 3 fields, so the total number of cucumbers harvested is 550 x 3. To find the total, we multiply 550 by 3: 550 x 3 = 1650. ### Answer: 1650.
Expected answer: 1650
Correct? Yes
Problem: In a zoo, each of the 84 enclosures has 48 animals. How many animals are there in total in all the enclosures?
Llama 3 70B:
Reasoning: Since there are 84 enclosures, and each enclosure has 48 animals, we can multiply the number of enclosures by the number of animals in each enclosure to find the total number of animals. Total animals = Number of enclosures × Number of animals per enclosure = 84 × 48 = 4032 ### Answer: 4032
Expected answer: 4032
Correct? Yes
Problem: In the same zoo, consider a scenario where each of the 84 enclosures instead housed 511 animals. In light of this change, how many animals would there be in total across all enclosures?
Llama 3 70B:
Reasoning: Since there are 84 enclosures, and each enclosure now has 511 animals, we can multiply the number of enclosures by the number of animals in each enclosure to find the total number of animals. Total animals = Number of enclosures × Number of animals per enclosure = 84 × 511 = 42924 ### Answer: 42924
Expected answer: 42924
Correct? Yes
Problem: A farmer harvested 43 bundles of carrots, each bundle contains 40 carrots. How many carrots did the farmer harvest in total?
Llama 3 70B:
Reasoning: The farmer harvested 43 bundles of carrots, and each bundle contains 40 carrots. To find the total number of carrots, we can multiply the number of bundles by the number of carrots in each bundle: 43 x 40 = 1720. ### Answer: 1720
Expected answer: 1720
Correct? Yes
Problem: A dragon breathes fire and burns 4618 trees in a forest each day for 3 days. How many trees in total did the dragon burn in these three days?
Llama 3 70B:
Reasoning: The dragon burns 4618 trees each day. To find the total number of trees burned in 3 days, we multiply the number of trees burned per day by 3. 4618 trees/day × 3 days = 4618 × 3 = 13854 ### Answer: 13854
Expected answer: 13854
Correct? Yes
Problem: Considering that the dragon instead burned 2302 trees each day for the same 3 days, how many trees in total did the dragon burn in these three days?
Llama 3 70B:
Reasoning: The dragon burns 2302 trees each day. To find the total number of trees burned in 3 days, we multiply the number of trees burned per day by 3. 2302 trees/day × 3 days = 2302 × 3 = 6906 ### Answer: 6906
Expected answer: 6906
Correct? Yes
Problem: There is a mountain that is 3618 meters tall. How many meters tall is a mountain that is exactly 1 times the height of the first mountain?
Llama 3 70B:
Reasoning: Since the second mountain is exactly 1 times the height of the first mountain, we can multiply the height of the first mountain by 1 to find the height of the second mountain. Height of second mountain = Height of first mountain × 1 = 3618 meters × 1 = 3618 meters ### Answer: 3618
Expected answer: 3618
Correct? Yes
Problem: There is a second mountain that is 3488 meters tall. How many meters tall is a mountain that is exactly 1 times the height of this second mountain?
Llama 3 70B:
Reasoning: Since the third mountain is exactly 1 times the height of the second mountain, we can multiply the height of the second mountain by 1 to find the height of the third mountain. Height of third mountain = Height of second mountain × 1 = 3488 meters × 1 = 3488 meters ### Answer: 3488
Expected answer: 3488
Correct? Yes
Problem: A cloud formation occupies an area of 18 miles by 18 miles. What is the total number of square miles occupied by the cloud formation?
Llama 3 70B:
Reasoning: To find the total area occupied by the cloud formation, we need to multiply the length by the width. In this case, both the length and width are 18 miles, so we multiply 18 by 18. 18 × 18 = 324 ### Answer: 324
Expected answer: 324
Correct? Yes
Problem: Instead of having an area of 18 miles by 18 miles, what if the cloud formation now occupies an area of 18 miles by 2898 miles. What is the total number of square miles occupied by the cloud formation now?
Llama 3 70B:
Reasoning: To find the total area occupied by the cloud formation, we need to multiply the length by the width. In this case, the length is 18 miles and the width is 2898 miles, so we multiply 18 by 2898. 18 × 2898 = 52,164 ### Answer: 52,164
Expected answer: 52164
Correct? Yes
Problem: A grape farm produces 60 clusters of grapes every day, with each cluster containing 64 grapes. How many grapes does the farm produce in a day?
Llama 3 70B:
Reasoning: The farm produces 60 clusters of grapes every day, and each cluster contains 64 grapes. To find the total number of grapes produced in a day, we can multiply the number of clusters by the number of grapes in each cluster. 60 clusters/day × 64 grapes/cluster = 60 × 64 = 3840 grapes/day ### Answer: 3840
Expected answer: 3840
Correct? Yes
Problem: A helicopter builder needs 3224 parts for each helicopter. If they plan to build 4 helicopters, how many parts will they need in total?
Llama 3 70B:
Reasoning: To find the total number of parts needed, we can multiply the number of parts needed per helicopter by the number of helicopters they plan to build. Number of parts per helicopter = 3224 Number of helicopters = 4 Total number of parts needed = Number of parts per helicopter × Number of helicopters = 3224 × 4 = 12896 ### Answer: 12896
Expected answer: 12896
Correct? Yes
Problem: Suppose the helicopter builder now needs 7661 parts for each helicopter, instead of 3224 as originally planned. If they still plan to build 4 helicopters, how many parts will they need in total now?
Llama 3 70B:
Reasoning: To find the total number of parts needed, we can multiply the new number of parts needed per helicopter by the number of helicopters they plan to build. Number of parts per helicopter = 7661 Number of helicopters = 4 Total number of parts needed = Number of parts per helicopter × Number of helicopters = 7661 × 4 = 30644 ### Answer: 30644
Expected answer: 30644
Correct? Yes
Problem: A jacket factory produces 3425 jackets each day for two days. How many jackets have they produced?
Llama 3 70B:
Reasoning: The factory produces 3425 jackets each day. Since they produce jackets for 2 days, the total number of jackets produced is 3425 x 2 = 6850. ### Answer: 6850
Expected answer: 6850
Correct? Yes
Problem: Now suppose the jacket factory instead produces 2079 jackets each day for two days. How many jackets have they produced now?
Llama 3 70B:
Reasoning: The factory produces 2079 jackets each day. Since they produce jackets for 2 days, the total number of jackets produced is 2079 x 2 = 4158. ### Answer: 4158
Expected answer: 4158
Correct? Yes
Problem: A towel factory produces 1380 towels every day for 9 days. How many towels have they produced?
Llama 3 70B:
Reasoning: The factory produces 1380 towels every day. To find the total number of towels produced in 9 days, we multiply the number of towels produced per day by the number of days: 1380 x 9 = 12420. ### Answer: 12420
Expected answer: 12420
Correct? Yes
Problem: Suppose the towel factory increased its production and now makes 7978 towels every day for the same 9 days. How many towels have they produced now?
Llama 3 70B:
Reasoning: The factory now produces 7978 towels every day. To find the total number of towels produced in 9 days, we multiply the number of towels produced per day by the number of days: 7978 x 9 = 71802. ### Answer: 71802
Expected answer: 71802
Correct? Yes
Problem: A manufacturer makes 1 pair of binoculars per day which they sell for 7743 dollars each. How much does the manufacturer make in a day from binoculars?
Llama 3 70B:
Reasoning: The manufacturer makes 1 pair of binoculars per day, and each pair is sold for $7743. To find the total amount made in a day, we can multiply the number of pairs sold by the price per pair. $7743/pair × 1 pair = $7743 ### Answer: $7743
Expected answer: 7743
Correct? Yes
Problem: What if the manufacturer decides to reduce the price and sell the binoculars for 7302 dollars each instead? How much would they make per day then?
Llama 3 70B:
Reasoning: The manufacturer still makes 1 pair of binoculars per day, but now each pair is sold for $7302. To find the total amount made in a day, we can multiply the number of pairs sold by the new price per pair. $7302/pair × 1 pair = $7302 ### Answer: $7302
Expected answer: 7302
Correct? Yes