Common Core Standard 5.OA.A.1
This standard covers the following:
Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
Problem: A sock company packages their socks in sets of 40. They have 2840 socks to package, and they currently have 93 packs already made. How many packs of socks will they have in total once all the socks have been packaged? Afterward, they received an another shipment of 70 packs of socks, but had to return 8 due to quality issues. How many packs of socks does the company have now?
Llama 3 70B:
Let's break this problem down into two parts: Part 1: The company has 2840 socks to package, and they package them in sets of 40. To find out how many packs they can make, we can divide the total number of socks by 40: 2840 รท 40 = 71 So, they can make 71 new packs of socks. Adding these to the 93 packs they already have, they will have a total of: 93 + 71 = 164 Part 2: The company receives another shipment of 70 packs of socks, but they have to return 8 due to quality issues. To find out how many packs they have now, we can add the new shipment to the total they already had, and then subtract the packs they returned: 164 + 70 = 234 234 - 8 = 226 ### Answer: 226
Expected answer: 226
Correct? Yes
Problem: A gardener has a field where he planted 80 rose bushes, with each bush producing 30 roses. Before he is able to gather them, a storm blows away 43 roses. How many roses are remaining in the field?
Llama 3 70B:
Reasoning: The gardener has 80 rose bushes, each producing 30 roses, so the total number of roses is 80 x 30 = 2400 roses. After the storm blows away 43 roses, the number of remaining roses is 2400 - 43 = 2357 roses. ### Answer: 2357
Expected answer: 2357
Correct? Yes
Problem: The gardener realizes afterwards that he initially miscounted the rose bushes in the field. It turns out there were not 80, but 84 rose bushes instead, each still producing 30 roses, and the storm still managed to blow away 43 roses. How many roses does he actually have remaining in the field after the correction?
Llama 3 70B:
Reasoning: The gardener has 84 rose bushes, each producing 30 roses, so the total number of roses is 84 x 30 = 2520 roses. After the storm blows away 43 roses, the number of remaining roses is 2520 - 43 = 2477 roses. ### Answer: 2477
Expected answer: 2477
Correct? Yes
Problem: A dolphin can leap (3 + 59) feet high. If a dolphin completes 89 jumps in a day, how many feet in total has the dolphin jumped in that day?
Llama 3 70B:
Reasoning: The dolphin can leap (3 + 59) = 62 feet high. In one day, the dolphin completes 89 jumps, so the total distance jumped is 62 x 89 = 5518 feet. ### Answer: 5518
Expected answer: 5518
Correct? Yes
Problem: Continuing from the original scenario, suppose we made a mistake in our measurements and realized that the dolphin, in fact, can leap (41 + 59) feet high instead of (3 + 59) feet. Considering this, if the dolphin still completes 89 jumps in a day, how many feet in total has the dolphin jumped in that day now?
Llama 3 70B:
Reasoning: The dolphin can leap (41 + 59) = 100 feet high. In one day, the dolphin completes 89 jumps, so the total distance jumped is 100 x 89 = 8900 feet. ### Answer: 8900
Expected answer: 8900
Correct? Yes
Problem: A candy store starts the day with 81 pieces of candy. They receive a delivery adding another 6 candies, but they sell 61 throughout the day. How many pieces of candy does the store have left?
Llama 3 70B:
Reasoning: The store starts with 81 pieces of candy. After receiving a delivery of 6 more candies, they have 81 + 6 = 87 pieces of candy. After selling 61 pieces, they have 87 - 61 = 26 pieces of candy left. ### Answer: 26
Expected answer: 26
Correct? Yes
Problem: Continuing from the original scenario, suppose the candy store started the day with 81 pieces of candy and received a delivery adding 6, but this time, they only sold 7 candies throughout the day. How many pieces of candy does the store now have left?
Llama 3 70B:
Reasoning: The store starts with 81 pieces of candy. After receiving a delivery of 6 more candies, they have 81 + 6 = 87 pieces of candy. After selling 7 pieces, they have 87 - 7 = 80 pieces of candy left. ### Answer: 80
Expected answer: 80
Correct? Yes
Problem: A sports store received a huge shipment of 6806 pairs of ice skates. If they evenly distribute the skates over 82 separate stores, how many pairs of ice skates does each store receive?
Llama 3 70B:
Reasoning: To find out how many pairs of ice skates each store receives, we need to divide the total number of pairs (6806) by the number of stores (82). 6806 รท 82 = 83 So, each store receives 83 pairs of ice skates. ### Answer: 83
Expected answer: 83
Correct? Yes
Problem: A sports store received a huge shipment of 6806 pairs of ice skates. After reconsideration, they decided to distribute the skates over 61 stores instead of the original 82. How many pairs of ice skates does each store receive now?
Llama 3 70B:
Reasoning: To find out how many pairs of ice skates each store receives, we need to divide the total number of pairs (6806) by the new number of stores (61). 6806 รท 61 = 111.57 (but since we can't divide pairs of skates, we'll round down to the nearest whole number) So, each store receives 111 pairs of ice skates. ### Answer: 111
Expected answer: 6806/61
Correct? No
Problem: If a stationery store has 40 white erasers and 74 pink erasers, how many erasers are there in total?
Llama 3 70B:
Reasoning: To find the total number of erasers, we need to add the number of white erasers and pink erasers. Number of white erasers = 40 Number of pink erasers = 74 Total number of erasers = 40 + 74 = 114 ### Answer: 114
Expected answer: 114
Correct? Yes
Problem: Suppose instead that the stationery store had 40 white erasers and 37 pink erasers initially. How many erasers would be there in total in that case?
Llama 3 70B:
Reasoning: To find the total number of erasers, we need to add the number of white erasers and pink erasers. Number of white erasers = 40 Number of pink erasers = 37 Total number of erasers = 40 + 37 = 77 ### Answer: 77
Expected answer: 77
Correct? Yes
Problem: A company manufactures a batch of pens, with each batch containing 39 pens. If the company has produced 10 such batches, how many pens does the company have now?
Llama 3 70B:
Reasoning: Since each batch contains 39 pens, the total number of pens produced is 39 x 10 = 390. ### Answer: 390
Expected answer: 390
Correct? Yes
Problem: The company found an error in their manufacturing record and realized they actually produced 43 batches of pens, not 10. Each batch still contained 39 pens. How many pens did the company actually produce?
Llama 3 70B:
Reasoning: Since each batch contains 39 pens, the total number of pens produced is 39 x 43 = 1677. ### Answer: 1677
Expected answer: 1677
Correct? Yes
Problem: A dairy farm has 33 cows. Each cow gives (99 + 58) litres of milk per day. How many litres of milk does the farm produce in a day?
Llama 3 70B:
Reasoning: First, we need to find out how many litres of milk each cow gives per day. This is 99 + 58 = 157 litres. Since there are 33 cows, the total amount of milk produced per day is 33 x 157 = 5181 litres. ### Answer: 5181
Expected answer: 5181
Correct? Yes
Problem: Suppose that instead of each cow producing (99 + 58) litres of milk per day as previously stated, they actually produce only (5 + 58) litres of milk daily. How many litres of milk would the farm produce from cows in this case?
Llama 3 70B:
Reasoning: First, we need to find out how many litres of milk each cow gives per day. This is 5 + 58 = 63 litres. Since there are 33 cows, the total amount of milk produced per day is 33 x 63 = 2079 litres. ### Answer: 2079
Expected answer: 2079
Correct? Yes
Problem: A farmer's grape vine produces 3344 grapes, and he has 38 equally productive grape vines. How many grapes does each vine produce?
Llama 3 70B:
Reasoning: Since the farmer has 38 equally productive grape vines, we can find the total number of grapes produced by all the vines by multiplying the number of grapes produced by one vine by 38. Let's say each vine produces x grapes. Then, the total number of grapes produced by all the vines is 38x. We know that the total number of grapes produced is 3344. Therefore, we can set up the equation: 38x = 3344 To find the number of grapes produced by each vine, we can divide both sides of the equation by 38: x = 3344 รท 38 x = 88 So, each vine produces 88 grapes. ### Answer: 88
Expected answer: 88
Correct? Yes
Problem: In the original scenario, a grape vine produces 3344 grapes and the farmer has 38 equally productive grape vines. Now consider a new situation. Let's say the farmer had 75 equally productive vines instead of 38. How many grapes would each vine have produced now?
Llama 3 70B:
Reasoning: Since the farmer has 75 equally productive grape vines, and the total number of grapes produced is still 3344, we can set up the equation: 75x = 3344 where x is the number of grapes produced by each vine. To find the number of grapes produced by each vine, we can divide both sides of the equation by 75: x = 3344 รท 75 x = 44.59 (approximately) Since we can't have a fraction of a grape, we can round down to the nearest whole number. Therefore, each vine would have produced approximately 44 grapes. ### Answer: 44
Expected answer: 3344/75
Correct? No
Problem: Yesterday, a region experienced a heavy snowfall of 93 cm and today it received additional 29 cm of snow. However, 20 cm of snow has melted. How much snow is now left?
Llama 3 70B:
Reasoning: The total snowfall is 93 cm + 29 cm = 122 cm. After 20 cm of snow has melted, the amount of snow left is 122 cm - 20 cm = 102 cm. ### Answer: 102 cm.
Expected answer: 102
Correct? Yes
Problem: Considering the previous problem, suppose the region experienced a heavier snowfall of 90 cm (instead of 29 cm) today, while the 20 cm melt remained the same. How might this change the amount of snow now left?
Llama 3 70B:
Reasoning: The total snowfall is 93 cm + 90 cm = 183 cm. After 20 cm of snow has melted, the amount of snow left is 183 cm - 20 cm = 163 cm. ### Answer: 163 cm.
Expected answer: 163
Correct? Yes
Problem: A farmer has 3069 grapes. If he decides to put 33 grapes in each bag, he will have a certain number of bags. However, the farmer eats 13 bags of grapes and also gives away 50 bags of grapes. How many bags of grapes does the farmer have left?
Llama 3 70B:
Reasoning: The farmer has 3069 grapes and puts 33 grapes in each bag, so he will have 3069 รท 33 = 93 bags of grapes initially. The farmer eats 13 bags and gives away 50 bags, so he has 93 - (13 + 50) = 93 - 63 = 30 bags of grapes left. ### Answer: 30
Expected answer: 30
Correct? Yes
Problem: Following the previous scenario, suppose the farmer decides to change his approach and now puts 25 grapes in each bag instead of 33. He again eats 13 bags and gives away 50 bags. How many bags of grapes does the farmer have now?
Llama 3 70B:
Reasoning: The farmer has 3069 grapes and puts 25 grapes in each bag, so he will have 3069 รท 25 = 122.76 bags of grapes initially. Since we can't have a fraction of a bag, we round down to 122 bags. The farmer eats 13 bags and gives away 50 bags, so he has 122 - (13 + 50) = 122 - 63 = 59 bags of grapes left. ### Answer: 59
Expected answer: 1494/25
Correct? No
Problem: A giraffe's neck has a length of 275 centimeters. If one meter is made up of 5 centimeters, what is the length of the giraffe's neck in meters?
Llama 3 70B:
Reasoning: Since one meter is equal to 100 centimeters, we can convert the length of the giraffe's neck from centimeters to meters by dividing by 100. 275 centimeters รท 100 = 2.75 meters ### Answer: 2.75 meters
Expected answer: 55
Correct? No
Problem: A furniture store had 79 chairs in stock. They received a shipment adding 9 more chairs, but then sold 45 chairs in a single day. How many chairs are now in the store?
Llama 3 70B:
Reasoning: The store initially had 79 chairs. After receiving a shipment of 9 more chairs, they had 79 + 9 = 88 chairs. After selling 45 chairs, they had 88 - 45 = 43 chairs left. ### Answer: 43
Expected answer: 43
Correct? Yes
Problem: Following from the previous scenario, consider instead that the furniture store originally had 79 chairs, but this time, they only received a shipment adding 4 more chairs before selling 45 chairs in a single day. How many chairs are now in the store under this altered situation?
Llama 3 70B:
Reasoning: The store initially had 79 chairs. After receiving a shipment of 4 more chairs, they had 79 + 4 = 83 chairs. After selling 45 chairs, they had 83 - 45 = 38 chairs left. ### Answer: 38
Expected answer: 38
Correct? Yes
Problem: A teddy bear factory can usually produce 91 teddy bears per day. However, today their capacity increased by 1 due to new equipment. A charity has also just donated materials to produce 15 additional teddy bears. How many total teddy bears can the factory produce today?
Llama 3 70B:
Reasoning: The factory can usually produce 91 teddy bears per day. With the new equipment, their capacity increased by 1, so they can now produce 91 + 1 = 92 teddy bears. Additionally, the charity donated materials to produce 15 more teddy bears, so the total number of teddy bears the factory can produce today is 92 + 15 = 107. ### Answer: 107
Expected answer: 107
Correct? Yes
Problem: A giraffe needs 67 leaves to eat at breakfast and 33 more in the afternoon. How many leaves does the giraffe need for a single day?
Llama 3 70B:
Reasoning: The giraffe needs 67 leaves for breakfast and 33 more leaves in the afternoon. To find the total number of leaves the giraffe needs, we add the number of leaves needed for breakfast and afternoon: 67 + 33 = 100. ### Answer: 100
Expected answer: 100
Correct? Yes
Problem: If you can drive 304 miles on a tank of gas and the tank is divided into 4 equal parts, how many miles can you drive on one part of the tank?
Llama 3 70B:
Reasoning: If the tank is divided into 4 equal parts, each part represents 1/4 of the total tank. To find the number of miles you can drive on one part of the tank, you can multiply the total number of miles by the fraction of the tank: 304 miles ร (1/4) = 304 miles ร 0.25 = 76 miles. ### Answer: 76
Expected answer: 76
Correct? Yes
Problem: If you can drive 304 miles on a full tank of gas which is divided into 4 equal parts, you've found that you can drive a certain distance on one part of the tank. If you refill this part of the tank 47 times, how many miles in total could you potentially drive?
Llama 3 70B:
Reasoning: We previously found that you can drive 76 miles on one part of the tank. If you refill this part of the tank 47 times, you can drive a total distance of 76 miles ร 47 = 3572 miles. ### Answer: 3572
Expected answer: 3572
Correct? Yes
Problem: If instead of a tank which can hold enough gas to drive 304 miles, you have a smaller tank which holds enough gas to drive 304 miles, and you divide the tank into 91 equal parts, how many miles can you drive on one part of the tank?
Llama 3 70B:
Reasoning: If the tank is divided into 91 equal parts, each part represents 1/91 of the total tank. To find the number of miles you can drive on one part of the tank, you can multiply the total number of miles by the fraction of the tank: 304 miles ร (1/91) = 304 miles ร 0.011 = 3.34 miles (approximately). ### Answer: 3.34
Expected answer: 304/91
Correct? No
Problem: A shop sells ice skates at 25 dollars a pair. They are having a sale where all ice skates are increased by 8 dollars. How much would a pair of ice skates cost during the sale?
Llama 3 70B:
Reasoning: The original price of the ice skates is $25. During the sale, the price is increased by $8, so we need to add $8 to the original price. New price = Original price + Increase in price = $25 + $8 = $33 ### Answer: $33
Expected answer: 33
Correct? Yes
Problem: In the previous scenario, the shop sells ice skates at 25 dollars a pair on sale. After the increase, a pair of ice skates is priced at 33 dollars. If a customer only has 70 dollars, how much money will they have left after buying a pair of ice skates during the sale?
Llama 3 70B:
Reasoning: The customer wants to buy a pair of ice skates that costs $33. They have $70. To find out how much money they will have left, we need to subtract the cost of the ice skates from the amount of money they have. Money left = Initial amount - Cost of ice skates = $70 - $33 = $37 ### Answer: $37
Expected answer: 37
Correct? Yes
Problem: In the previous scenario, the price of ice skates was 25 dollars a pair before the price increase. Now, consider a scenario where the original price of the ice skates was 79 dollars a pair instead of 25 dollars. If the price was increased by the same amount, 8 dollars, how much would a pair of ice skates cost now?
Llama 3 70B:
Reasoning: The original price of the ice skates is $79. During the sale, the price is increased by $8, so we need to add $8 to the original price. New price = Original price + Increase in price = $79 + $8 = $87 ### Answer: $87
Expected answer: 87
Correct? Yes
Problem: A river flows at a speed of 96 miles per day. How far would it have travelled in 31 days?
Llama 3 70B:
Reasoning: To find the total distance travelled by the river, we need to multiply the speed of the river by the number of days. Distance = Speed ร Time = 96 miles/day ร 31 days = 2976 miles ### Answer: 2976 miles
Expected answer: 2976
Correct? Yes
Problem: Continuing from the previous problem, if the river also carried a piece of debris that got an additional 94 miles downstream due to the wind in those 31 days, how far would the piece of debris have traveled in total?
Llama 3 70B:
Reasoning: We already know that the river travelled 2976 miles in 31 days. The piece of debris got an additional 94 miles downstream due to the wind, so we need to add this distance to the distance travelled by the river. Total distance travelled by the piece of debris = Distance travelled by the river + Additional distance due to wind = 2976 miles + 94 miles = 3070 miles ### Answer: 3070 miles
Expected answer: 3070
Correct? Yes
Problem: Continuing from the previous problem, suppose the river flow was less than initially thought. Rather than flowing at a speed of 96 miles per day, it actually flows at a speed of 12 miles per day. How far would the river have traveled in 31 days at this slower speed?
Llama 3 70B:
Reasoning: To find the total distance travelled by the river, we need to multiply the corrected speed of the river by the number of days. Distance = Speed ร Time = 12 miles/day ร 31 days = 372 miles ### Answer: 372 miles
Expected answer: 372
Correct? Yes
Problem: A manufacturer produces 46 blankets each day. After 43 days, an additional 42 blankets were donated to the manufacturer. How many blankets does the manufacturer now have in total?
Llama 3 70B:
Reasoning: The manufacturer produces 46 blankets each day, so in 43 days, the manufacturer produces 46 x 43 = 1978 blankets. After receiving the additional 42 blankets, the manufacturer now has 1978 + 42 = 2020 blankets. ### Answer: 2020
Expected answer: 2020
Correct? Yes
Problem: A particular star emits light at a velocity of 1095 miles per second. If this velocity were divided by 73, what would be the resulting speed of the light emitted by the star?
Llama 3 70B:
Reasoning: To find the resulting speed, we need to divide the velocity of the light by 73. 1095 miles/second รท 73 = 15 miles/second ### Answer: 15 miles/second
Expected answer: 15
Correct? Yes
Problem: Following our previous scenario, let's consider that instead of dividing by 73, the velocity of the star's light was divided by 42. What would be the resulting speed of the light emitted by the star, given this new calculation?
Llama 3 70B:
Reasoning: To find the resulting speed, we need to divide the velocity of the light by 42. 1095 miles/second รท 42 = 26.07 miles/second (approximately) ### Answer: 26.07 miles/second
Expected answer: 365/14
Correct? No
Problem: A lemon tree produces 99 lemons every year. After 51 years, a massive wind storm passes through the area and removes 84 lemons from the total number of lemons the tree produced. How many lemons did the lemon tree produce after the wind storm?
Llama 3 70B:
Reasoning: The lemon tree produces 99 lemons every year, so in 51 years, it produces 99 x 51 = 5049 lemons. After the wind storm, 84 lemons are removed, leaving 5049 - 84 = 4965 lemons. ### Answer: 4965
Expected answer: 4965
Correct? Yes
Problem: After 40 years instead of 51, a massive wind storm passes through the area removing 84 lemons from the total number of lemons the tree produced. Given this earlier timing of the wind storm, how many lemons did the lemon tree produce after the wind storm?
Llama 3 70B:
Reasoning: The lemon tree produces 99 lemons every year, so in 40 years, it produces 99 x 40 = 3960 lemons. After the wind storm, 84 lemons are removed, leaving 3960 - 84 = 3876 lemons. ### Answer: 3876
Expected answer: 3876
Correct? Yes
Problem: John had 4 packs of building blocks and each pack contains 89 blocks. After losing 72 blocks while playing, how many blocks does John have now?
Llama 3 70B:
Reasoning: John had 4 packs of building blocks, and each pack contains 89 blocks, so he had a total of 4 x 89 = 356 blocks initially. After losing 72 blocks, John had 356 - 72 = 284 blocks left. ### Answer: 284
Expected answer: 284
Correct? Yes
Problem: Instead of the initial 89 blocks in each pack, John found out that 41 blocks were in each of his 4 packs. After losing 72 blocks, how many blocks does John have now?
Llama 3 70B:
Reasoning: John had 4 packs of building blocks, and each pack contains 41 blocks, so he had a total of 4 x 41 = 164 blocks initially. After losing 72 blocks, John had 164 - 72 = 92 blocks left. ### Answer: 92
Expected answer: 92
Correct? Yes
Problem: On a particular beach, 5544 seashells are evenly distributed across 72 meters of sand. How many seashells are there on average for every meter of the beach?
Llama 3 70B:
Reasoning: To find the average number of seashells per meter, we need to divide the total number of seashells (5544) by the total length of the beach (72 meters). 5544 รท 72 = 77 So, there are 77 seashells on average for every meter of the beach. ### Answer: 77
Expected answer: 77
Correct? Yes
Problem: In a revised count, it was discovered that the seashells were actually spread over 92 meters of the beach instead of 72 meters as previously thought. Now, how many seashells are there on average for each meter of the beach?
Llama 3 70B:
Reasoning: We still have the same total number of seashells (5544), but now we have a longer beach (92 meters). To find the new average, we divide the total number of seashells by the new length of the beach. 5544 รท 92 = 60 So, there are 60 seashells on average for every meter of the beach. ### Answer: 60
Expected answer: 1386/23
Correct? No
Problem: There are 82 animals in the zoo. If 67 animals are birds, how many animals in the zoo are not birds?
Llama 3 70B:
Reasoning: To find the number of animals that are not birds, we need to subtract the number of birds from the total number of animals. Let's subtract 67 (number of birds) from 82 (total number of animals): 82 - 67 = 15 ### Answer: 15
Expected answer: 15
Correct? Yes
Problem: In a revision to the previous count, it turns out there were only 38 birds instead of 67 at the zoo originally. Given this, how many animals in the zoo were not birds?
Llama 3 70B:
Reasoning: To find the number of animals that are not birds, we need to subtract the number of birds from the total number of animals. Let's subtract 38 (number of birds) from 82 (total number of animals): 82 - 38 = 44 ### Answer: 44
Expected answer: 44
Correct? Yes
Problem: A construction company builds 36 houses every month. If they kept this pace up for 46 months, how many houses would they have built over this time?
Llama 3 70B:
Reasoning: The company builds 36 houses every month. To find the total number of houses built over 46 months, we can multiply the number of houses built per month by the number of months: 36 x 46 = 1656. ### Answer: 1656
Expected answer: 1656
Correct? Yes
Problem: In the same construction company's new plan, instead of building 36 houses they are planning to build 75 houses a month. If they managed to keep up this pace for the same period of 46 months, how many houses would they have built in total with this increased productivity?
Llama 3 70B:
Reasoning: The company builds 75 houses every month. To find the total number of houses built over 46 months, we can multiply the number of houses built per month by the number of months: 75 x 46 = 3450. ### Answer: 3450
Expected answer: 3450
Correct? Yes
Problem: A window factory has a goal to produce 1767 windows within a month. If the factory operates 31 days a month, how many windows does it need to produce each day to meet its goal?
Llama 3 70B:
Reasoning: To find out how many windows the factory needs to produce each day, we need to divide the total number of windows it needs to produce (1767) by the number of days it operates (31). 1767 รท 31 = 57 So, the factory needs to produce 57 windows each day to meet its goal. ### Answer: 57
Expected answer: 57
Correct? Yes
Problem: Continuing from the previous situation, suppose the factory decided to cut down its monthly goal and now aims to produce only 50 windows in a month. Based on this new target, how many windows does the factory need to produce each day if it still operates for 31 days in a month?
Llama 3 70B:
Reasoning: To find out how many windows the factory needs to produce each day, we need to divide the new total number of windows it needs to produce (50) by the number of days it operates (31). 50 รท 31 = 1.61 (approximately) Since we can't produce a fraction of a window, we can round down to 1 window per day, as producing 2 windows per day would exceed the monthly goal. ### Answer: 1
Expected answer: 50/31
Correct? No
Problem: A TV series has just been renewed for its third season. The 1st season had 66 episodes, the 2nd season had 67 episodes, and now 8 episodes of the 3rd season have been aired. How many episodes have aired in total?
Llama 3 70B:
Reasoning: The total number of episodes aired is the sum of the episodes from each season. In the 1st season, 66 episodes were aired. In the 2nd season, 67 episodes were aired. In the 3rd season, 8 episodes have been aired so far. To find the total, we add the number of episodes from each season: 66 + 67 + 8 = 141. ### Answer: 141
Expected answer: 141
Correct? Yes
Problem: After the 8 episodes of the 3rd season were aired, the TV series continued to air more episodes. In the remaining part of the 3rd season, they aired 80 episodes. They have also just finished airing all the 82 episodes of the 4th season. How many episodes have aired in total now?
Llama 3 70B:
Reasoning: We already know that 141 episodes had aired after the first 8 episodes of the 3rd season. To find the total number of episodes aired, we need to add the remaining episodes of the 3rd season and the episodes of the 4th season. In the remaining part of the 3rd season, 80 episodes were aired. In the 4th season, 82 episodes were aired. So, the total number of episodes aired is: 141 + 80 + 82 = 303. ### Answer: 303
Expected answer: 303
Correct? Yes
Problem: Let's imagine that in the first two seasons of the TV series there were fewer episodes than we initially thought. The 1st season had 66 episodes and the second season only had 8. After 8 more episodes of the 3rd season aired, how many total episodes have aired so far?
Llama 3 70B:
Reasoning: The total number of episodes aired is the sum of the episodes from each season. In the 1st season, 66 episodes were aired. In the 2nd season, 8 episodes were aired. In the 3rd season, 8 episodes have been aired so far. To find the total, we add the number of episodes from each season: 66 + 8 + 8 = 82. ### Answer: 82
Expected answer: 82
Correct? Yes
Problem: At the end of a rainbow, a leprechaun is guarding a pot of gold coins. He adds 39 gold coins to the pot, then another 47. However, while he is distracted, a fairy takes away 8 gold coins from the pot. The new total of coins becomes a code to a magical lock. The code must be enhanced by adding 48 to it only once, and then multiplied by 24. What is the final value to unlock the magical lock?
Llama 3 70B:
Let's break this down step by step: 1. The leprechaun adds 39 gold coins to the pot, then another 47. So, the total number of coins in the pot is: 39 + 47 = 86 2. While the leprechaun is distracted, a fairy takes away 8 gold coins from the pot. So, the new total number of coins is: 86 - 8 = 78 3. The new total of 78 becomes the code to the magical lock. To enhance the code, we need to add 48 to it only once: 78 + 48 = 126 4. Finally, we need to multiply the enhanced code by 24: 126 ร 24 = 3024 ### Answer: 3024
Expected answer: 3024
Correct? Yes
Problem: The leprechaun realizes that there was a mistake in the first part of his magical lock code. Instead of multiplying the initial set of gold coin count by 24 after adding 48, he should have multiplied it by 29. Given this new information, what should be the correct initial value to unlock the magical lock?
Llama 3 70B:
Let's go back to the correct calculation: 1. The leprechaun adds 39 gold coins to the pot, then another 47. So, the total number of coins in the pot is: 39 + 47 = 86 2. While the leprechaun is distracted, a fairy takes away 8 gold coins from the pot. So, the new total number of coins is: 86 - 8 = 78 3. The new total of 78 becomes the code to the magical lock. To enhance the code, we need to add 48 to it only once: 78 + 48 = 126 4. Finally, we need to multiply the enhanced code by 29 (not 24): 126 ร 29 = 3654 So, the correct initial value to unlock the magical lock is: ### Answer: 3654
Expected answer: 3654
Correct? Yes
Problem: John has 98 dollars in his wallet. He found a 35-dollar bill on the ground and added it to his wallet. However, he then spent 38 dollars on lunch. How much money does he have left in his wallet now?
Llama 3 70B:
Reasoning: John started with 98 dollars in his wallet. He found a 35-dollar bill, so he added 35 dollars to his wallet, making a total of 98 + 35 = 133 dollars. Then, he spent 38 dollars on lunch, leaving him with 133 - 38 = 95 dollars. ### Answer: 95
Expected answer: 95
Correct? Yes
Problem: Following the previous scenarios, let's reconsider the scenario like this: suppose the amount that John decided to spend on lunch was not 38 dollars, but actually 68 dollars. How much money does he have left in his wallet after this change?
Llama 3 70B:
Reasoning: John started with 98 dollars in his wallet. He found a 35-dollar bill, so he added 35 dollars to his wallet, making a total of 98 + 35 = 133 dollars. Then, he spent 68 dollars on lunch, leaving him with 133 - 68 = 65 dollars. ### Answer: 65
Expected answer: 65
Correct? Yes
Problem: A bottling factory fills 3840 bottles every hour. How many bottles does it fill every minute?
Llama 3 70B:
Reasoning: There are 60 minutes in an hour. To find the number of bottles filled per minute, we can divide the number of bottles filled per hour by 60. 3840 bottles/hour รท 60 minutes/hour = 3840 รท 60 = 64 bottles/minute ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: In the bottling factory, an upgrade to the machines increases the manufacturing speed by 19 bottles per minute. After the upgrade, how many bottles does the factory fill every minute?
Llama 3 70B:
Reasoning: Before the upgrade, the factory filled 64 bottles per minute. After the upgrade, the manufacturing speed increased by 19 bottles per minute. To find the new rate, we add the increase to the original rate. 64 bottles/minute + 19 bottles/minute = 83 bottles/minute ### Answer: 83
Expected answer: 83
Correct? Yes
Problem: In the bottling factory, imagine that before the upgrade, the machinery was even slower, filling bottles at a rate of 3840 bottles every 18 hours, instead of 60 minutes. How many bottles were being filled every hour in that case?
Llama 3 70B:
Reasoning: We are given that the machinery fills 3840 bottles every 18 hours. To find the number of bottles filled per hour, we can divide the number of bottles filled by the time it takes to fill them. 3840 bottles รท 18 hours = 3840 รท 18 = 213.33 bottles/hour (approximately) Since we can't fill a fraction of a bottle, we can round down to the nearest whole number. ### Answer: 213
Expected answer: 640/3
Correct? No
Problem: In a mystical world, a dragon has 1702 treasures in his cave. If he divides these treasures among his 37 faithful gnomes and then decides to add another 49 treasures to each one, how many treasures does each gnome now have?
Llama 3 70B:
Reasoning: The dragon has 1702 treasures and divides them among 37 gnomes. To find out how many treasures each gnome gets, we divide 1702 by 37: 1702 รท 37 = 46. Each gnome initially gets 46 treasures. Then, the dragon adds 49 more treasures to each gnome. So, each gnome now has 46 + 49 = 95 treasures. ### Answer: 95
Expected answer: 95
Correct? Yes
Problem: In the previous scenario, imagine that instead of adding 49 treasures to each gnome's share, the dragon decided to add 79 treasures. How many treasures does each gnome now have?
Llama 3 70B:
Reasoning: The dragon has 1702 treasures and divides them among 37 gnomes. To find out how many treasures each gnome gets, we divide 1702 by 37: 1702 รท 37 = 46. Each gnome initially gets 46 treasures. Then, the dragon adds 79 more treasures to each gnome. So, each gnome now has 46 + 79 = 125 treasures. ### Answer: 125
Expected answer: 125
Correct? Yes
Problem: If a frog can hop 192 inches in total and on average, hops 6 inches per single leap, how many leaps does it take for the frog to reach the end of its journey?
Llama 3 70B:
Reasoning: To find the number of leaps, we need to divide the total distance (192 inches) by the distance per leap (6 inches). Let's divide 192 by 6: 192 รท 6 = 32 So, it takes the frog 32 leaps to reach the end of its journey. ### Answer: 32
Expected answer: 32
Correct? Yes
Problem: Continuing from the previous scenario, let's say the frog has increased its leaping ability and can now hop 83 inches in total with an average of 6 inches per leap. How many leaps does it take for the frog to complete this new journey?
Llama 3 70B:
Reasoning: To find the number of leaps, we need to divide the total distance (83 inches) by the distance per leap (6 inches). Let's divide 83 by 6: 83 รท 6 = 13.83 Since we can't have a fraction of a leap, we'll round up to the nearest whole number, as the frog needs to complete the entire journey. 13.83 โ 14 So, it takes the frog 14 leaps to complete this new journey. ### Answer: 14
Expected answer: 83/6
Correct? No
Problem: A cheese factory produces 5865 kg of cheese evenly over 85 days. How much cheese does the factory produce each day?
Llama 3 70B:
Reasoning: To find out how much cheese the factory produces each day, we need to divide the total amount of cheese produced (5865 kg) by the number of days (85). Let's do the division: 5865 รท 85 = 69 So, the factory produces 69 kg of cheese each day. ### Answer: 69 kg
Expected answer: 69
Correct? Yes
Problem: Continuing with the scenario of the cheese factory, let's say the factory now operates 31 days a month rather than 85 days, with the overall cheese production still being 5865 kg. How much cheese would now be produced each day?
Llama 3 70B:
Reasoning: Since the overall cheese production remains the same (5865 kg), but the number of days has changed, we need to recalculate the daily production. Let's divide the total amount of cheese produced (5865 kg) by the new number of days (31): 5865 รท 31 = 189 So, the factory would now produce 189 kg of cheese each day. ### Answer: 189 kg
Expected answer: 5865/31
Correct? No
Problem: A cucumber farm yields 2592 cucumbers per 54 plants. If a section of the farm grows 38 plants, subtracting the 74 cucumbers that were damaged, how many cucumbers are available for sale?
Llama 3 70B:
Reasoning: First, we need to find out how many cucumbers each plant yields. We can do this by dividing the total number of cucumbers by the number of plants: 2592 รท 54 = 48 cucumbers per plant. Next, we can find out how many cucumbers the 38 plants in the section yield: 38 ร 48 = 1824 cucumbers. Finally, we subtract the 74 damaged cucumbers from the total: 1824 - 74 = 1750 cucumbers available for sale. ### Answer: 1750
Expected answer: 1750
Correct? Yes
Problem: In a new scenario, where an exact amount of 1 cucumber is damaged instead of 74 in the section growing 38 plants, how many cucumbers would now be available for sale from that section?
Llama 3 70B:
Reasoning: As before, each plant yields 48 cucumbers, so the 38 plants in the section yield: 38 ร 48 = 1824 cucumbers. Now, only 1 cucumber is damaged, so we subtract 1 from the total: 1824 - 1 = 1823 cucumbers available for sale. ### Answer: 1823
Expected answer: 1823
Correct? Yes
Problem: A toy car battery lasts 16 hours. However, if the car's lights are used, the battery life decreases by the equivalent of 36 divided by 9 hours. Assuming the toy car is run with the lights on for 12 full weeks, each week considered to be 60 hours, how long did the battery last?
Llama 3 70B:
Reasoning: The battery life decreases by 36/9 = 4 hours when the lights are used. In 12 weeks, the total hours the car is run is 12 x 60 = 720 hours. Since the car is run with the lights on, the total hours the battery lasts is 720 / (16 - 4) = 720 / 12 = 60 weeks. Since each week is 60 hours, the total hours the battery lasts is 60 x 60 / 60 = 60 hours. ### Answer: 60
Expected answer: 8640
Correct? No
Problem: A hand-crafted leather wallet costs 2407 dollars. If you can pay this in 83 installments, how much money would each installment be?
Llama 3 70B:
Reasoning: To find the amount of each installment, we need to divide the total cost of the wallet by the number of installments. Let's divide 2407 by 83: 2407 รท 83 = 29 So, each installment would be $29. ### Answer: 29
Expected answer: 29
Correct? Yes
Problem: If you decide to buy a simple keychain from the same craftsman instead, which costs the same as a single installment of your previous purchase, how much does it cost if each installment was 83 dollars divided by 83?
Llama 3 70B:
Reasoning: Since each installment is $29, the cost of the simple keychain would be the same as one installment, which is $29. Alternatively, we can calculate it as follows: The total cost of the wallet is $2407, and it's divided into 83 installments. So, each installment is: 2407 รท 83 = 29 The cost of the keychain is the same as one installment, which is $29. ### Answer: 29
Expected answer: 1
Correct? No
Problem: A big grizzly bear feasts on 2726 ounces of salmon during a 58-day summer period. How much salmon does the bear eat each day on average?
Llama 3 70B:
Reasoning: To find the average amount of salmon the bear eats each day, we need to divide the total amount of salmon eaten (2726 ounces) by the number of days (58). Average daily salmon consumption = Total salmon consumption รท Number of days = 2726 ounces รท 58 days = 47 ounces/day ### Answer: 47 ounces/day
Expected answer: 47
Correct? Yes
Problem: In the original problem, the big grizzly bear ate 2726 ounces of salmon over a 58-day summer period. However, what would have been the daily average if the bear had eaten the same total amount of salmon but over a shorter 50-day period instead?
Llama 3 70B:
Reasoning: If the bear eats the same total amount of salmon (2726 ounces) but over a shorter 50-day period, we can find the new daily average by dividing the total amount of salmon by the new number of days. Average daily salmon consumption = Total salmon consumption รท Number of days = 2726 ounces รท 50 days = 54.52 ounces/day (approximately) ### Answer: 54.52 ounces/day
Expected answer: 1363/25
Correct? No
Problem: A farmer has two patches of land. One patch yields 26 carrots and the other yields 16 carrots. If every day for 77 days, the farmer collects the same amount of carrots, how many carrots has the farmer collected in total?
Llama 3 70B:
Reasoning: The farmer collects 26 + 16 = 42 carrots every day. In 77 days, the farmer collects 42 x 77 = 3234 carrots. ### Answer: 3234
Expected answer: 3234
Correct? Yes
Problem: Let's consider the farmer's situation again. What if, instead of 77 days, the farmer only collected carrots from his patches of land for a period of 22 days. How many total carrots would he have collected from his patches during this time?
Llama 3 70B:
Reasoning: The farmer collects 26 + 16 = 42 carrots every day. In 22 days, the farmer collects 42 x 22 = 924 carrots. ### Answer: 924
Expected answer: 924
Correct? Yes
Problem: A clothes store had 71 pairs of pants in stock at the beginning of the week. They received an additional shipment of 39 pairs, but then sold 54 pairs. How many pairs of pants does the store have in stock now?
Llama 3 70B:
Reasoning: The store started with 71 pairs of pants. They received an additional 39 pairs, so they had 71 + 39 = 110 pairs. After selling 54 pairs, they had 110 - 54 = 56 pairs left. ### Answer: 56
Expected answer: 56
Correct? Yes
Problem: A chef uses 483g of sugar to make 7 of her special cakes. How much sugar does she use for each cake?
Llama 3 70B:
Reasoning: To find out how much sugar the chef uses for each cake, we need to divide the total amount of sugar used (483g) by the number of cakes made (7). 483 รท 7 = 69 So, the chef uses 69g of sugar for each cake. ### Answer: 69g
Expected answer: 69
Correct? Yes
Problem: In the next batch, the chef decided to add an extra 25g of sugar to her special cake recipe to make it sweeter. How much sugar does she use now for each cake?
Llama 3 70B:
Reasoning: The chef previously used 69g of sugar for each cake. Now, she wants to add an extra 25g of sugar to make it sweeter. To find the new amount of sugar used for each cake, we add the extra 25g to the original 69g. 69 + 25 = 94 So, the chef now uses 94g of sugar for each cake. ### Answer: 94g
Expected answer: 94
Correct? Yes
Problem: After receiving some feedback, the chef used less sugar in her next batch of cakes. She used only 65g for seven cakes. How much sugar does she use now for each cake?
Llama 3 70B:
Reasoning: To find out how much sugar the chef uses for each cake, we need to divide the total amount of sugar used (65g) by the number of cakes made (7). 65 รท 7 = 9.29 (approximately) So, the chef uses approximately 9.29g of sugar for each cake. ### Answer: 9.29g
Expected answer: 65/7
Correct? No
Problem: A kite maker has 41 blue, 63 red, and 57 green kites. If they give away 98 kites and create an additional 3 kites, how many kites does the maker have now?
Llama 3 70B:
Let's break this down step by step: Initially, the kite maker has: 41 blue kites + 63 red kites + 57 green kites = 161 kites The kite maker gives away 98 kites, so they are left with: 161 - 98 = 63 kites Then, the kite maker creates an additional 3 kites, so they now have: 63 + 3 = 66 kites ### Answer: 66
Expected answer: 66
Correct? Yes
Problem: Following up with the earlier situation of the kite maker who had 41 blue, 63 red, and 57 green kites, gave away 98 kites, and created an additional 3 kites: If the kite maker decided to ramp up production and multiply their current inventory by 18, then add the original inventory to this increased production, how many kites would the they have now?
Llama 3 70B:
Let's continue from where we left off: The kite maker currently has 66 kites. They decide to multiply their current inventory by 18, so they will have: 66 ร 18 = 1188 kites Then, they add the original inventory to this increased production, which means they add the 161 kites they had initially: 1188 + 161 = 1349 kites ### Answer: 1349
Expected answer: 1254
Correct? No
Problem: After the kite maker gave away some kites and made new ones, let's change the circumstances a bit. Instead of giving away 98 kites, they only gave away 19 kites. Taking into account that they still made an additional 3 kites, how many kites does the maker have now?
Llama 3 70B:
Let's recalculate: Initially, the kite maker has: 41 blue kites + 63 red kites + 57 green kites = 161 kites The kite maker gives away 19 kites, so they are left with: 161 - 19 = 142 kites Then, the kite maker creates an additional 3 kites, so they now have: 142 + 3 = 145 kites ### Answer: 145
Expected answer: 145
Correct? Yes
Problem: A teddy bear company produces 7644 teddy bears in a span of 91 days. How many teddy bears does the company approximately makes each day?
Llama 3 70B:
Reasoning: To find the approximate number of teddy bears the company makes each day, we need to divide the total number of teddy bears produced (7644) by the number of days (91). 7644 รท 91 = 84 So, the company approximately makes 84 teddy bears each day. ### Answer: 84
Expected answer: 84
Correct? Yes
Problem: After reviewing their production numbers, the teddy bear company realized that they actually produce 7644 teddy bears in a span of 50 days, not 91 days. How many teddy bears does the company approximately makes each day now?
Llama 3 70B:
Reasoning: To find the approximate number of teddy bears the company makes each day, we need to divide the total number of teddy bears produced (7644) by the correct number of days (50). 7644 รท 50 = 152.88 Since we can't produce a fraction of a teddy bear, we can round up or down to the nearest whole number. In this case, we can round to 153. So, the company approximately makes 153 teddy bears each day. ### Answer: 153
Expected answer: 3822/25
Correct? No
Problem: A train travels at a speed of 68 mph but due to certain restrictions, it had to slow down to 28 mph. Considering the travel time of 21 hours, calculate the impact on the total distance traveled by the train.
Llama 3 70B:
Let's first calculate the distance traveled by the train at the original speed: Distance = Speed ร Time = 68 mph ร 21 hours = 1428 miles Now, let's calculate the distance traveled by the train at the reduced speed: Distance = Speed ร Time = 28 mph ร 21 hours = 588 miles To find the impact on the total distance traveled, we'll subtract the distance traveled at the reduced speed from the distance traveled at the original speed: Impact on distance = 1428 miles - 588 miles = 840 miles So, the train traveled 840 miles less due to the speed restriction. ### Answer: 840 miles
Expected answer: 840
Correct? Yes
Problem: In the previous question, we considered a speed decrease from 68 mph to 28 mph. For this question, let's assume the train didn't have to slow down that much, but travelled instead at a speed of 56 mph. Over the same 21 hours, calculate the revised total distance travelled by the train.
Llama 3 70B:
Let's calculate the distance traveled by the train at the new speed: Distance = Speed ร Time = 56 mph ร 21 hours = 1176 miles ### Answer: 1176 miles
Expected answer: 252
Correct? No
Problem: An alien spacecraft traveled 95 light-years to reach Earth, but had to stop 70 light-years along the way at a space buoy for refueling. How many light-years did it travel after refueling to reach Earth?
Llama 3 70B:
Reasoning: The spacecraft traveled a total of 95 light-years to reach Earth. It stopped at a space buoy 70 light-years along the way, which means it had already traveled 70 light-years before refueling. To find the distance it traveled after refueling, we subtract the distance traveled before refueling from the total distance: 95 - 70 = 25 light-years. ### Answer: 25
Expected answer: 25
Correct? Yes
Problem: The alien spaceship initially traveled 95 light-years to reach Earth. But let's consider a scenario where they could only stop 60 light-years along the way at a space buoy for refueling instead of 70 light-years. In that case, how many light-years would the spaceship have to travel after refueling to reach Earth?
Llama 3 70B:
Reasoning: The spacecraft still needs to travel a total of 95 light-years to reach Earth. If it stops at a space buoy 60 light-years along the way, it has already traveled 60 light-years before refueling. To find the distance it needs to travel after refueling, we subtract the distance traveled before refueling from the total distance: 95 - 60 = 35 light-years. ### Answer: 35
Expected answer: 35
Correct? Yes
Problem: In a popular game, a character starts with a health value of 82. After being attacked by a rival character, his health value decreases by 69. What is the character's remaining health value?
Llama 3 70B:
Reasoning: To find the character's remaining health value, we need to subtract the decrease in health value from the initial health value. Initial health value = 82 Decrease in health value = 69 Remaining health value = Initial health value - Decrease in health value = 82 - 69 = 13 ### Answer: 13
Expected answer: 13
Correct? Yes
Problem: In our previous scenario, the character started with a health value of 82. What if, instead of being attacked and losing 69 health points, he was attacked by a weaker rival character and only lost 33 health points. What would be the character's remaining health value in this new scenario?
Llama 3 70B:
Reasoning: To find the character's remaining health value, we need to subtract the decrease in health value from the initial health value. Initial health value = 82 Decrease in health value = 33 Remaining health value = Initial health value - Decrease in health value = 82 - 33 = 49 ### Answer: 49
Expected answer: 49
Correct? Yes
Problem: A designer creates 77 dresses in a week and sells them for $16 each. After a week, he subtracts a cost of $27 for fabric damage. How much did the designer earn after accounting for the fabric damage?
Llama 3 70B:
Reasoning: The designer earns 77 x $16 = $1232 from selling the dresses. The cost of fabric damage is $27. The designer's earnings after accounting for the fabric damage is $1232 - $27 = $1205. ### Answer: $1205.
Expected answer: 1205
Correct? Yes
Problem: A snail travels 66 inches in a day. In addition to that, the snail extracted energy from 704 lettuce leaves over 22 days, allowing it to move an additional inch per day. How far in inches does the snail travel in a day with the additional energy?
Llama 3 70B:
Reasoning: The snail originally travels 66 inches in a day. With the additional energy from the lettuce leaves, the snail can move an additional 704/22 = 32 inches per day. So, the snail travels 66 + 32 = 98 inches in a day with the additional energy. ### Answer: 98
Expected answer: 98
Correct? Yes
Problem: After some days, the snail found a new source of energy and added another benefit: it ate 330 beet leaves over 33 days, which allowed it to move an additional inch per day. With the added energy from the beet leaves, how far does the snail now travel in a day?
Llama 3 70B:
Reasoning: The snail originally travels 66 inches in a day. With the additional energy from the lettuce leaves, the snail can move an additional 704/22 = 32 inches per day, making it travel 66 + 32 = 98 inches in a day. With the additional energy from the beet leaves, the snail can move an additional 330/33 = 10 inches per day. So, the snail now travels 98 + 10 = 108 inches in a day with the added energy from both the lettuce and beet leaves. ### Answer: 108
Expected answer: 108
Correct? Yes
Problem: After observing the snail for some time, it was noticed that it actually traveled 25 inches instead of 66 inches in a day. Given this new information, and assuming that the energy extracted from the 704 lettuce leaves over 22 days still allowed it to move an additional inch per day, how far does the snail now travel in a day?
Llama 3 70B:
Reasoning: The snail originally travels 25 inches in a day. With the additional energy from the lettuce leaves, the snail can move an additional 704/22 = 32 inches per day. However, since the snail only gets an additional 1 inch per day from the lettuce leaves, the correct additional distance is 1 inch. So, the snail travels 25 + 1 = 26 inches in a day with the additional energy. ### Answer: 26
Expected answer: 57
Correct? No
Problem: A cake recipe calls for using 65 grams of sugar. If a bakery prepares 29 such cakes and then adds 46 more grams for frosting, how many grams of sugar did they use in total?
Llama 3 70B:
Reasoning: The bakery prepares 29 cakes, each requiring 65 grams of sugar, so they use 29 x 65 = 1885 grams of sugar for the cakes. Then, they add 46 more grams for frosting, making the total amount of sugar used 1885 + 46 = 1931 grams. ### Answer: 1931
Expected answer: 1931
Correct? Yes
Problem: A skateboard company makes 36 freestyle skateboards and 92 downhill skateboards in a day. How many skateboards does it make in total in a day?
Llama 3 70B:
Reasoning: To find the total number of skateboards made in a day, we need to add the number of freestyle skateboards and downhill skateboards. Number of freestyle skateboards = 36 Number of downhill skateboards = 92 Total number of skateboards = 36 + 92 = 128 ### Answer: 128
Expected answer: 128
Correct? Yes
Problem: The skateboard company decides to extend its production over 21 days but had to discard 65 skateboards due to quality issues. How many skateboards did they make in the span of these 21 days after discarding the faulty ones?
Llama 3 70B:
Reasoning: First, we need to find the total number of skateboards made in 21 days. Number of skateboards made per day = 128 Number of days = 21 Total number of skateboards made = 128 x 21 = 2688 Then, we need to subtract the number of faulty skateboards from the total number of skateboards made. Number of faulty skateboards = 65 Total number of skateboards after discarding faulty ones = 2688 - 65 = 2623 ### Answer: 2623
Expected answer: 2623
Correct? Yes
Problem: Suppose now the company produces 82 freestyle skateboards instead of 36, while still producing 92 downhill skateboards daily. How many skateboards does it make in total in a day?
Llama 3 70B:
Reasoning: To find the total number of skateboards made in a day, we need to add the number of freestyle skateboards and downhill skateboards. Number of freestyle skateboards = 82 Number of downhill skateboards = 92 Total number of skateboards = 82 + 92 = 174 ### Answer: 174
Expected answer: 174
Correct? Yes
Problem: A cafรฉ sells hot chocolate for 42 dollars per cup. One day, they sold 78 cups of hot chocolate and made an extra 58 dollars from selling marshmallows. What is the total revenue of that day from selling hot chocolate and marshmallows?
Llama 3 70B:
Reasoning: The cafรฉ sold 78 cups of hot chocolate at 42 dollars per cup, so the revenue from hot chocolate is 78 x 42 = 3276 dollars. The revenue from selling marshmallows is 58 dollars. The total revenue is the sum of the revenue from hot chocolate and marshmallows, which is 3276 + 58 = 3334 dollars. ### Answer: 3334
Expected answer: 3334
Correct? Yes
Problem: The cafรฉ also has another branch. If the other branch also made the same amount of money from selling hot chocolate and marshmallows in a day, what would be the total revenue from both branches?
Llama 3 70B:
Reasoning: Since the other branch also made the same amount of money, we can simply add the revenue from both branches. The total revenue from one branch is 3334 dollars. The total revenue from both branches is 2 x 3334 = 6668 dollars. ### Answer: 6668
Expected answer: 6668
Correct? Yes
Problem: Suppose that on another day, the cafรฉ priced their hot chocolate differently: they sold it for 42 dollars per cup but only sold 78 cups, and made an additional 24 dollars from selling marshmallows. What would be the total revenue of that day?
Llama 3 70B:
Reasoning: The cafรฉ sold 78 cups of hot chocolate at 42 dollars per cup, so the revenue from hot chocolate is 78 x 42 = 3276 dollars. The revenue from selling marshmallows is 24 dollars. The total revenue is the sum of the revenue from hot chocolate and marshmallows, which is 3276 + 24 = 3300 dollars. ### Answer: 3300
Expected answer: 3300
Correct? Yes
Problem: A river tour boat can hold 58 adults. If an additional 4 children can also board the boat, what is the total number of passengers the boat can carry?
Llama 3 70B:
Reasoning: The boat can hold 58 adults. If 4 children can also board, the total number of passengers the boat can carry is 58 + 4 = 62. ### Answer: 62
Expected answer: 62
Correct? Yes
Problem: Suppose that the river tour boat could originally only hold 58 adults. It has now been modified to increase its capacity by 3 more adults. Taking this into account, how many total adults can the boat hold now?
Llama 3 70B:
Reasoning: The boat could originally hold 58 adults. If its capacity has been increased by 3 more adults, the new total capacity for adults is 58 + 3 = 61. ### Answer: 61
Expected answer: 61
Correct? Yes
Problem: If a monkey gets ((360 bananas / 12 months) + 16 extra bananas) per month, how many bananas does the monkey get in a month?
Llama 3 70B:
Reasoning: First, let's calculate the number of bananas the monkey gets per month from the 360 bananas: 360 bananas / 12 months = 30 bananas per month. Then, the monkey gets 16 extra bananas per month, so we add these to the 30 bananas: 30 bananas + 16 bananas = 46 bananas per month. ### Answer: 46
Expected answer: 46
Correct? Yes
Problem: If in the next month, the monkey received additional bananas, bringing its total to ((360 bananas / 12 months) + 16 extra bananas + 79 more bananas) but then 67 of them were stolen, how many bananas does the monkey have now?
Llama 3 70B:
Reasoning: First, let's calculate the total number of bananas the monkey had before some were stolen: (360 bananas / 12 months) = 30 bananas per month 30 bananas + 16 extra bananas = 46 bananas 46 bananas + 79 more bananas = 125 bananas Then, 67 bananas were stolen, so we subtract these from the total: 125 bananas - 67 bananas = 58 bananas ### Answer: 58
Expected answer: 58
Correct? Yes
Problem: What if, instead of getting 360 bananas a year, the monkey only got 360 bananas every 20 months? If the monkey also got 16 extra bananas per month, how many bananas would the monkey get in a month?
Llama 3 70B:
Reasoning: First, let's calculate the number of bananas the monkey gets per month from the 360 bananas: 360 bananas / 20 months = 18 bananas per month. Then, the monkey gets 16 extra bananas per month, so we add these to the 18 bananas: 18 bananas + 16 bananas = 34 bananas per month. ### Answer: 34
Expected answer: 34
Correct? Yes
Problem: A starfish has 5 arms. If there were 360 degrees in a circle, how many degrees would be in each section if it were to be equally divided amongst the starfish's arms?
Llama 3 70B:
Reasoning: To find the number of degrees in each section, we need to divide the total number of degrees in a circle (360) by the number of arms the starfish has (5). 360 รท 5 = 72 So, each section would have 72 degrees. ### Answer: 72
Expected answer: 72
Correct? Yes
Problem: Continuing from the previous problem, what if the starfish was an unusual species with 17 arms instead of 5? If there were still 360 degrees in a circle, how many degrees would be in each section if it were to be equally divided amongst the starfish's arms?
Llama 3 70B:
Reasoning: To find the number of degrees in each section, we need to divide the total number of degrees in a circle (360) by the number of arms the starfish has (17). 360 รท 17 = 21.18 (approximately) So, each section would have approximately 21.18 degrees. ### Answer: 21.18
Expected answer: 360/17
Correct? No
Problem: There's a toy store that has 26 stuffed rabbits. If they decide to order an additional 84 stuffed rabbits and 36 stuffed bears, how many stuffed animals will they have in total?
Llama 3 70B:
Reasoning: The toy store already has 26 stuffed rabbits. They order 84 more stuffed rabbits, so they will have 26 + 84 = 110 stuffed rabbits. They also order 36 stuffed bears. To find the total number of stuffed animals, we add the number of stuffed rabbits and stuffed bears: 110 + 36 = 146. ### Answer: 146
Expected answer: 146
Correct? Yes
Problem: The toy store received a special toy order of 1 rare stuffed panda in addition to their previous order. After adding the special order, how many stuffed animals will the toy store have in total?
Llama 3 70B:
Reasoning: The toy store already had 146 stuffed animals (110 stuffed rabbits and 36 stuffed bears). They received a special order of 1 rare stuffed panda, so we add 1 to the total number of stuffed animals: 146 + 1 = 147. ### Answer: 147
Expected answer: 147
Correct? Yes
Problem: On Monday, Rachel watched 35 minutes of TV. On Tuesday, she watched 48 minutes in the morning and 13 more in the evening. How many minutes of TV did Rachel watch on both days?
Llama 3 70B:
Reasoning: On Monday, Rachel watched 35 minutes of TV. On Tuesday, Rachel watched 48 minutes in the morning and 13 more in the evening, so she watched 48 + 13 = 61 minutes on Tuesday. To find the total minutes of TV Rachel watched on both days, we add the minutes from Monday and Tuesday: 35 + 61 = 96 minutes. ### Answer: 96
Expected answer: 96
Correct? Yes
Problem: On Wednesday, Rachel watched 68 minutes of TV but decided to reduce her screen time by the amount she had watched on Monday. How many total minutes of TV did Rachel watch on Monday, Tuesday and Wednesday after reducing her Wednesday screen time?
Llama 3 70B:
Reasoning: On Monday, Rachel watched 35 minutes of TV. On Tuesday, Rachel watched 61 minutes of TV. On Wednesday, Rachel watched 68 minutes of TV, but then reduced her screen time by 35 minutes (the amount she watched on Monday), so she actually watched 68 - 35 = 33 minutes on Wednesday. To find the total minutes of TV Rachel watched on all three days, we add the minutes from Monday, Tuesday, and Wednesday: 35 + 61 + 33 = 129 minutes. ### Answer: 129
Expected answer: 129
Correct? Yes
Problem: If on Monday instead of watching 35 minutes of TV, Rachel watched 37 minutes. Then, how many total minutes of TV did she watch on Monday and Tuesday?
Llama 3 70B:
Reasoning: On Monday, Rachel watched 37 minutes of TV. On Tuesday, Rachel watched 48 minutes in the morning and 13 more in the evening, so she watched 48 + 13 = 61 minutes on Tuesday. To find the total minutes of TV Rachel watched on both days, we add the minutes from Monday and Tuesday: 37 + 61 = 98 minutes. ### Answer: 98
Expected answer: 98
Correct? Yes
Problem: A door manufacturing company can produce 2340 doors over a 90-day period. How many doors can the company produce in one day?
Llama 3 70B:
Reasoning: To find out how many doors the company can produce in one day, we need to divide the total number of doors produced over the 90-day period by 90. Let's do that: 2340 doors รท 90 days = 26 doors per day ### Answer: 26
Expected answer: 26
Correct? Yes
Problem: A little mouse had stored 91 pieces of cheese for winter, but a thief mouse stole 77 pieces. The little mouse found 22 more pieces and a kind mouse gave him 12 more. How many pieces of cheese does the little mouse have now?
Llama 3 70B:
Reasoning: The little mouse had 91 pieces of cheese initially. Then, the thief mouse stole 77 pieces, leaving the little mouse with 91 - 77 = 14 pieces. The little mouse found 22 more pieces, so now he has 14 + 22 = 36 pieces. The kind mouse gave him 12 more pieces, so now he has 36 + 12 = 48 pieces. ### Answer: 48
Expected answer: 48
Correct? Yes
Problem: A dolphin needs to have approximately 96 kilograms of fish and 22 kilograms of squid every day to stay healthy. If a dolphin's diet remained unchanged for 59 days, how much fish and squid in total, in kilograms, would the dolphin need?
Llama 3 70B:
Reasoning: The dolphin needs 96 kg of fish and 22 kg of squid every day, so the total amount of food needed per day is 96 + 22 = 118 kg. Since the dolphin's diet remained unchanged for 59 days, the total amount of food needed for 59 days is 118 kg/day ร 59 days = 118 ร 59 = 6952 kg. ### Answer: 6952
Expected answer: 6962
Correct? No
Problem: If Mandy has 18 building blocks and she received another 43, then decided to multiply the total by the initial number she had, how many building blocks would she have in the end?
Llama 3 70B:
Reasoning: Mandy initially had 18 building blocks. She received 43 more, so she now has 18 + 43 = 61 building blocks. She then multiplies the total by the initial number she had, which is 18. So, she multiplies 61 by 18, getting 61 ร 18 = 1098. ### Answer: 1098
Expected answer: 1098
Correct? Yes
Problem: Following the previous problem, if Mandy decides to multiply the numbers of the building blocks she ends up with by the result of dividing 215 by 43, how many building blocks would she have then?
Llama 3 70B:
Reasoning: Mandy had 1098 building blocks. She wants to multiply this number by the result of dividing 215 by 43. First, let's divide 215 by 43: 215 รท 43 = 5. Now, multiply 1098 by 5: 1098 ร 5 = 5490. ### Answer: 5490
Expected answer: 5490
Correct? Yes
Problem: Continuing with the previous problem, suppose Mandy initially had 18 building blocks and received another 55, instead of the original 43. If she then multiplies the total by the initial 18 building blocks she had, how many building blocks would she have now?
Llama 3 70B:
Reasoning: Mandy initially had 18 building blocks. She received 55 more, so she now has 18 + 55 = 73 building blocks. She then multiplies the total by the initial number she had, which is 18. So, she multiplies 73 by 18, getting 73 ร 18 = 1314. ### Answer: 1314
Expected answer: 1314
Correct? Yes
Problem: A ballerina practices for (28 - 11) hours a day, and she practices 10 times more on weekends. How much does she practice on weekends?
Llama 3 70B:
Reasoning: The ballerina practices for 28 - 11 = 17 hours a day. On weekends, she practices 10 times more, so she practices 17 x 10 = 170 hours. ### Answer: 170
Expected answer: 170
Correct? Yes
Problem: Suppose our ballerina decided to lessen her weekend practices to (28 - 11) hours but increased the frequency to 66 times. How many hours did she practice in total on the weekends now?
Llama 3 70B:
Reasoning: The ballerina practices for 28 - 11 = 17 hours each time on weekends. She practices 66 times, so she practices a total of 17 x 66 = 1122 hours on weekends. ### Answer: 1122
Expected answer: 1122
Correct? Yes
Problem: A deck of special cards contains 59 different kinds of cards, and for each kind, there are 49 cards. How many total cards are there in this deck?
Llama 3 70B:
Reasoning: Since there are 59 different kinds of cards, and for each kind, there are 49 cards, we can multiply the number of kinds by the number of cards per kind to find the total number of cards. Total cards = Number of kinds ร Cards per kind = 59 ร 49 = 2891 ### Answer: 2891
Expected answer: 2891
Correct? Yes
Problem: After the manufacturer's initial count of the standard cards and the division of premium cards, they discover a miscalculation. Instead of 59 different kinds of cards in the deck, there are actually 90 kinds. If for each kind, there are still 59 cards, how many total standard cards are there in this deck?
Llama 3 70B:
Reasoning: Since there are 90 different kinds of cards, and for each kind, there are 59 cards, we can multiply the number of kinds by the number of cards per kind to find the total number of cards. Total cards = Number of kinds ร Cards per kind = 90 ร 59 = 5310 ### Answer: 5310
Expected answer: 5310
Correct? Yes
Problem: A farmer has a field where he grows grapevines. He has added 93 new vines to his field and 73 more after that. Unfortunately, 92 of the vines have died. How many vines does he have now?
Llama 3 70B:
Reasoning: The farmer started with an unknown number of vines, but we don't need to know that to solve the problem. He added 93 new vines, so he had 93 vines. Then, he added 73 more, so he had 93 + 73 = 166 vines. Unfortunately, 92 of the vines died, so he had 166 - 92 = 74 vines left. ### Answer: 74
Expected answer: 74
Correct? Yes
Problem: The farmer reevaluates his count and realizes that he made a mistake in his initial counting. He actually added 65 new vines to his field, instead of 93, then added 73 more vines and had 92 vines die. How many grapevines does he have in his field now with this corrected count?
Llama 3 70B:
Reasoning: The farmer started with an unknown number of vines, but we don't need to know that to solve the problem. He added 65 new vines, so he had 65 vines. Then, he added 73 more, so he had 65 + 73 = 138 vines. Unfortunately, 92 of the vines died, so he had 138 - 92 = 46 vines left. ### Answer: 46
Expected answer: 46
Correct? Yes
Problem: A blanket factory makes 13 blankets in the morning and 81 in the afternoon, but returns 59 due to defects. Each blanket is sold at a price equal to 39 times the total number of good blankets they have, plus the number of good blankets. What's the total value of the blankets they've sold?
Llama 3 70B:
Let's break this problem down step by step: 1. The factory makes 13 blankets in the morning and 81 in the afternoon, so they make a total of 13 + 81 = 94 blankets. 2. However, they return 59 due to defects, so they have 94 - 59 = 35 good blankets left. 3. The price of each blanket is equal to 39 times the total number of good blankets, plus the number of good blankets. So, the price of each blanket is 39 ร 35 + 35 = 1440. 4. Since they have 35 good blankets, the total value of the blankets they've sold is 35 ร 1440 = 50400. ### Answer: 50400
Expected answer: 1400
Correct? No
Problem: A bus travels a distance of 1300 miles. If it does so in 20 equal stages, how many miles does the bus travel per stage?
Llama 3 70B:
Reasoning: To find the distance traveled per stage, we need to divide the total distance by the number of stages. Let's divide 1300 miles by 20 stages: 1300 รท 20 = 65 So, the bus travels 65 miles per stage. ### Answer: 65
Expected answer: 65
Correct? Yes
Problem: In our previous scenario, suppose instead of covering the distance in 20 equal stages, the bus decided to only stop 4 times, dividing the journey into equal parts. In that case, how many miles would the bus need to travel per stage?
Llama 3 70B:
Reasoning: To find the distance traveled per stage, we need to divide the total distance by the number of stages. Let's divide 1300 miles by 4 stages: 1300 รท 4 = 325 So, the bus would need to travel 325 miles per stage. ### Answer: 325
Expected answer: 325
Correct? Yes
Problem: A region usually receives 53 inches of rain each year. However, in a certain year, it only received 7 inches less than the usual amount. How many inches of rain did it receive that year?
Llama 3 70B:
Reasoning: The region usually receives 53 inches of rain each year. If it received 7 inches less than the usual amount, we need to subtract 7 from 53 to find the amount of rain it received that year. 53 - 7 = 46 ### Answer: 46
Expected answer: 46
Correct? Yes
Problem: Suppose the region actually usually receives 69 inches of rain each year, instead of 53 as we previously thought. If it still received 7 inches less than the usual amount in the year we're considering, how many inches of rain did it receive that year?
Llama 3 70B:
Reasoning: The region usually receives 69 inches of rain each year. If it received 7 inches less than the usual amount, we need to subtract 7 from 69 to find the amount of rain it received that year. 69 - 7 = 62 ### Answer: 62
Expected answer: 62
Correct? Yes
Problem: In a complicated mechanical watch, there are 98 gears in the main mechanism and 61 gears in a side mechanism. After service, a watchmaker removed 80 gears from the watch. How many gears are there left in the watch now?
Llama 3 70B:
Reasoning: The total number of gears in the watch before service is 98 + 61 = 159. After removing 80 gears, the number of gears left is 159 - 80 = 79. ### Answer: 79
Expected answer: 79
Correct? Yes
Problem: Originally, the watchmaker removed 80 gears from the watch, leaving a certain number of gears. But what if the watchmaker only removed 8 gears instead of 80 from the total of 98 gears in the main mechanism and 61 gears in a side mechanism? How many gears would remain in the watch?
Llama 3 70B:
Reasoning: The total number of gears in the watch before service is 98 + 61 = 159. If the watchmaker removed 8 gears instead of 80, the number of gears left is 159 - 8 = 151. ### Answer: 151
Expected answer: 151
Correct? Yes
Problem: A company manufactures 1462 binoculars and distributes them equally among 43 stores. After subtracting 25 defective pieces from each store's stock, how many binoculars does each store end up with?
Llama 3 70B:
Reasoning: The company distributes 1462 binoculars equally among 43 stores, so each store gets 1462 รท 43 = 34 binoculars. After subtracting 25 defective pieces from each store's stock, each store is left with 34 - 25 = 9 binoculars. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: In addition to the binoculars already distributed, each store received an additional shipment of binoculars from a second manufacturing facility. The second facility produced 4104 binoculars and divided them equally among 57 stores. After accounting for this additional shipment, how many binoculars does each store end up with in total?
Llama 3 70B:
Reasoning: The second facility produced 4104 binoculars and divided them equally among 57 stores, so each store gets 4104 รท 57 = 72 binoculars from the second shipment. Since there are 43 stores that received the initial shipment, and 57 stores that received the second shipment, we can assume that the 43 stores are a subset of the 57 stores. Therefore, each of the 43 stores that received the initial shipment also received the additional 72 binoculars from the second shipment. Each store now has a total of 9 (from the initial shipment) + 72 (from the second shipment) = 81 binoculars. ### Answer: 81
Expected answer: 81
Correct? Yes
Problem: In a revision to the initial report, it turns out that 19 defective pieces were found in each store's binocular stock, rather than the originally believed 25. After making this correction, how many binoculars does each store end up with from the initial shipment?
Llama 3 70B:
Reasoning: The company distributes 1462 binoculars equally among 43 stores, so each store gets 1462 รท 43 = 34 binoculars. After subtracting 19 defective pieces from each store's stock, each store is left with 34 - 19 = 15 binoculars. ### Answer: 15
Expected answer: 15
Correct? Yes
Problem: A camera shop stocks 25 DSLR cameras. They receive a delivery of 71 new DSLR cameras and for promotional reasons, the shop decides to multiply the total number of cameras by 77. How many cameras does the shop have for promotion?
Llama 3 70B:
Reasoning: The shop initially had 25 DSLR cameras. After receiving a delivery of 71 new cameras, the total number of cameras is 25 + 71 = 96. To find the total number of cameras for promotion, we multiply the total number of cameras by 77: 96 ร 77 = 7392. ### Answer: 7392
Expected answer: 7392
Correct? Yes
Problem: Following the previous scenario, let's revisit the promotional event. Suppose this time the shop had decided to multiply the total number of cameras by 56 instead of 77 after receiving the same initial stock of 71 new DSLR cameras. How many cameras would the shop have had for promotion in this case?
Llama 3 70B:
Reasoning: The shop initially had 25 DSLR cameras. After receiving a delivery of 71 new cameras, the total number of cameras is 25 + 71 = 96. To find the total number of cameras for promotion, we multiply the total number of cameras by 56: 96 ร 56 = 5376. ### Answer: 5376
Expected answer: 5376
Correct? Yes
Problem: On average, a construction company can build 1425 square feet of a house in 19 days. If they worked for 14 days, how many square feet would they have built?
Llama 3 70B:
Reasoning: The construction company can build 1425 square feet in 19 days, so their daily rate is 1425 รท 19 = 75 square feet per day. If they worked for 14 days, they would have built 75 ร 14 = 1050 square feet. ### Answer: 1050
Expected answer: 1050
Correct? Yes
Problem: A farmer starts the day with 18 tomatoes in his basket. By midday, he manages to harvest some more, bringing the total to 18 + 82 tomatoes in the basket. Unfortunately, 37 of these tomatoes are deemed unsellable because they are not ripe enough. How many tomatoes does the farmer have left in the basket that are ready to sell?
Llama 3 70B:
Reasoning: The farmer starts with 18 tomatoes and harvests 82 more, so he has a total of 18 + 82 = 100 tomatoes. After removing 37 unsellable tomatoes, he is left with 100 - 37 = 63 tomatoes that are ready to sell. ### Answer: 63
Expected answer: 63
Correct? Yes
Problem: In a similar situation as before, the farmer started his day with a different quantity of 95 tomatoes in his basket. Just like the previous day, by midday, he managed to harvest some more, bringing the total to 95 + 82 tomatoes in the basket. Unfortunately, he found that 37 of these tomatoes were not ripe enough to sell. How many ripe tomatoes did the farmer have left in his basket after this day?
Llama 3 70B:
Reasoning: The farmer starts with 95 tomatoes and harvests 82 more, so he has a total of 95 + 82 = 177 tomatoes. After removing 37 unsellable tomatoes, he is left with 177 - 37 = 140 tomatoes that are ripe and ready to sell. ### Answer: 140
Expected answer: 140
Correct? Yes
Problem: In a soap manufacturing factory, they create soap in large blocks that are then cut into smaller bars. If each large block can be cut into 1424 bars of soap, but they package the soap in bundles of 16 bars each, how many packages can they make from one large block of soap?
Llama 3 70B:
Reasoning: To find the number of packages, we need to divide the total number of bars by the number of bars in each package. Let's divide the total number of bars (1424) by the number of bars in each package (16): 1424 รท 16 = 89 So, they can make 89 packages from one large block of soap. ### Answer: 89
Expected answer: 89
Correct? Yes
Problem: Continuing from the initial situation in the soap manufacturing factory, suppose now they have decided to cut the large soap blocks into smaller bars such that each block can now be cut into 1424 bars of soap. However, this time they plan to package the soap in bundles of 36 bars each instead of 16. How many packages can they make from one large block of soap under this new arrangement?
Llama 3 70B:
Reasoning: To find the number of packages, we need to divide the total number of bars by the number of bars in each package. Let's divide the total number of bars (1424) by the number of bars in each package (36): 1424 รท 36 = 39.55 Since we can't have a fraction of a package, we'll round down to the nearest whole number. This is because we can't make a fraction of a package, and we can't leave any bars unpackaged. So, they can make 39 packages from one large block of soap under this new arrangement. ### Answer: 39
Expected answer: 356/9
Correct? No
Problem: A printer prints 2 sheets of paper with 37 letters each second. If it continues to print at this rate for 95 seconds, how many letters will be printed?
Llama 3 70B:
Reasoning: The printer prints 2 sheets of paper with 37 letters each second. So, it prints 2 x 37 = 74 letters per second. If it continues to print at this rate for 95 seconds, it will print 74 x 95 = 7030 letters. ### Answer: 7030
Expected answer: 7030
Correct? Yes
Problem: Continuing from the previous scenario, what if the printer only printed 2 sheets of paper with 4 letters each second instead of 37. Keeping the same printing duration of 95 seconds, how many letters would have been printed then?
Llama 3 70B:
Reasoning: The printer prints 2 sheets of paper with 4 letters each second. So, it prints 2 x 4 = 8 letters per second. If it continues to print at this rate for 95 seconds, it will print 8 x 95 = 760 letters. ### Answer: 760
Expected answer: 760
Correct? Yes
Problem: A potato farm produces 12 tons of potatoes per acre. They have a 3 acre plot of land which they use for growing potatoes. After the harvest, they found out that 71 tons were rotten, but they could salvage 44 tons. How many tons of potatoes do they have left?
Llama 3 70B:
Reasoning: The farm produces 12 tons of potatoes per acre, and they have a 3 acre plot of land. So, they produced 12 x 3 = 36 tons of potatoes in total. Out of the 36 tons, 71 tons were rotten, but that's not possible since they only produced 36 tons. It's likely that 71 tons is a typo and it should be 7 tons. Let's assume that's the case. If 7 tons were rotten, they were left with 36 - 7 = 29 tons. But they could salvage 44 tons, which means they were able to recover 44 tons from the rotten potatoes. So, in total, they have 29 tons (good potatoes) + 44 tons (recovered potatoes) = 73 tons of potatoes left. ### Answer: 73
Expected answer: 9
Correct? No
Problem: A plane travels around the world, covering a distance of 360,000 miles. If it covers 72,000 miles per day, how many days does it take for the plane to travel around the world?
Llama 3 70B:
Reasoning: To find the number of days it takes for the plane to travel around the world, we need to divide the total distance traveled (360,000 miles) by the distance covered per day (72,000 miles). Let's do the division: 360,000 miles รท 72,000 miles/day = 5 days ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: After reviewing the plane's logbook, the crew realizes there was a mistake in their calculations. Instead of covering 360,000 miles to travel around the world, it actually only took them 81,000 miles. Given this, how many days would it have taken them to travel around the world at a rate of 72,000 miles per day?
Llama 3 70B:
Reasoning: Now that we have the correct distance, we can recalculate the number of days it takes for the plane to travel around the world. Let's do the division: 81,000 miles รท 72,000 miles/day = 1.125 days Since we can't have a fraction of a day, we can round up to the nearest whole number, as the plane can't travel a fraction of a day. ### Answer: 2
Expected answer: 9/8
Correct? No
Problem: A fairy sprinkles magical dust at a rate of 4332 milligrams every 76 minutes. If she reduces her sprinkling rate by 44 milligrams and continues at this reduced rate for 52 minutes, how much magical dust will she sprinkle in that time?
Llama 3 70B:
Reasoning: The fairy's original rate is 4332 milligrams every 76 minutes. To find her rate in milligrams per minute, we can divide 4332 by 76: 4332 รท 76 = 57 milligrams per minute. If she reduces her rate by 44 milligrams, her new rate is 57 - 44 = 13 milligrams per minute. To find out how much magical dust she will sprinkle in 52 minutes, we can multiply her new rate by 52: 13 ร 52 = 676 milligrams. ### Answer: 676
Expected answer: 676
Correct? Yes
Problem: After sprinkling magical dust at the reduced rate for 52 minutes, the fairy finds an additional 49 milligrams of magical dust. How much total magical dust did she use in that time?
Llama 3 70B:
Reasoning: We already found that the fairy sprinkled 676 milligrams of magical dust at the reduced rate for 52 minutes. If she finds an additional 49 milligrams of magical dust, we can add this to the amount she already sprinkled: 676 + 49 = 725 milligrams. ### Answer: 725
Expected answer: 725
Correct? Yes
Problem: If the fairy had initially reduced her sprinkling rate to 22 minutes instead of 52 minutes, how much magical dust would she have sprinkled in that time with the reduced rate of 44 milligrams?
Llama 3 70B:
Reasoning: The fairy's original rate is 4332 milligrams every 76 minutes. To find her rate in milligrams per minute, we can divide 4332 by 76: 4332 รท 76 = 57 milligrams per minute. If she reduces her rate by 44 milligrams, her new rate is 57 - 44 = 13 milligrams per minute. To find out how much magical dust she will sprinkle in 22 minutes, we can multiply her new rate by 22: 13 ร 22 = 286 milligrams. ### Answer: 286
Expected answer: 286
Correct? Yes
Problem: At the start of the camping trip, there were 56 logs to fuel the campfire. But after some time, the campers had used up 15 logs. How many logs are left for the rest of the trip?
Llama 3 70B:
Reasoning: The campers started with 56 logs and used up 15 logs. To find out how many logs are left, we need to subtract the number of logs used from the total number of logs. 56 (total logs) - 15 (logs used) = 41 ### Answer: 41
Expected answer: 41
Correct? Yes
Problem: After re-counting the initial logs at the start of the camping trip, there were actually 48 logs, not 56. After using up 15 logs, with this new count, how many logs are now left for the rest of the trip?
Llama 3 70B:
Reasoning: The campers started with 48 logs and used up 15 logs. To find out how many logs are left, we need to subtract the number of logs used from the total number of logs. 48 (total logs) - 15 (logs used) = 33 ### Answer: 33
Expected answer: 33
Correct? Yes
Problem: John took 30 pictures with his new camera, but then he accidentally deleted 81 pictures. Fortunately, he was able to recover 61 of the deleted pictures. How many pictures does he have now?
Llama 3 70B:
Reasoning: John started with 30 pictures. Then, he deleted 81 pictures, but he only had 30, so he had -51 pictures (which doesn't make sense, but we'll continue with the math). Then, he recovered 61 pictures, so he now has -51 + 61 = 10 pictures. Another way to think about it: John started with 30 pictures. He deleted 81, but he didn't have that many, so he deleted all 30. Then, he recovered 61 pictures, so he now has 61 - 30 = 31 pictures that he didn't have before, plus the 0 pictures he had, so he has 31 pictures. ### Answer: 10
Expected answer: 10
Correct? Yes
Problem: In the previous scenario, let's consider that instead of taking 30 pictures, John only took 21 pictures with his new camera before accidentally deleting 81 pictures. Like before, he was able to recover 61 of those deleted pictures. How many pictures does he have now?
Llama 3 70B:
Reasoning: John started with 21 pictures. Then, he deleted 81 pictures, but he only had 21, so he had 0 pictures left (since you can't delete more pictures than you have). Then, he recovered 61 pictures, so he now has 0 + 61 = 61 pictures. Another way to think about it: John started with 21 pictures. He deleted all 21, so he had 0 pictures. Then, he recovered 61 pictures, so he now has 61 pictures. ### Answer: 61
Expected answer: 1
Correct? No
Problem: A tailor uses 20 square feet of fabric to make one teddy bear. If they use the same amount of fabric for every teddy bear, how much fabric will they need to make 20 teddy bears?
Llama 3 70B:
Reasoning: Since the tailor uses 20 square feet of fabric to make one teddy bear, to make 20 teddy bears, they will need 20 x 20 = 400 square feet of fabric. ### Answer: 400
Expected answer: 400
Correct? Yes
Problem: If each pair of binoculars costs $27 and a store adds a tax of $9 after buying 23 pairs, how much will the total cost be?
Llama 3 70B:
Reasoning: The cost of 23 pairs of binoculars is 23 x $27 = $621. The tax added is $9, so the total cost is $621 + $9 = $630. ### Answer: $630.
Expected answer: 630
Correct? Yes
Problem: After paying the tax and buying the 23 pairs of binoculars, the store owner decides to purchase an additional single pair of binoculars that has a discount of $95. What is the total amount the store owner will need to pay now?
Llama 3 70B:
Reasoning: The store owner already paid $630 for the 23 pairs of binoculars and the tax. The discounted price of the additional pair of binoculars is $27 - $95 = -$68 (since it's a discount, it's subtracted from the original price). However, since you can't pay a negative amount, it means the store owner will get $68 back. So, the new total amount the store owner needs to pay is $630 - $68 = $562. ### Answer: $562.
Expected answer: 562
Correct? Yes
Problem: After the store owner's last transaction, a new shipment of binoculars came in with a lower price. This time, each pair costs $27 and there's a fixed tax of $9. If the store owner decides to buy 13 pairs from the new shipment, how much would the total cost be now?
Llama 3 70B:
Reasoning: The cost of 13 pairs of binoculars is 13 x $27 = $351. The fixed tax is $9, so the total cost is $351 + $9 = $360. ### Answer: $360.
Expected answer: 360
Correct? Yes
Problem: A pirate found 22 gold coins on an island. On his ship, he remembered that he had found 91 gold coins on another island, and 33 gold coins hidden in a chest. How many gold coins does the pirate have in total?
Llama 3 70B:
Reasoning: The pirate found 22 gold coins on the island. He already had 91 gold coins from another island. He also had 33 gold coins hidden in a chest. To find the total number of gold coins, we add these three amounts together: 22 + 91 + 33 = 146. ### Answer: 146
Expected answer: 146
Correct? Yes
Problem: Following on from the previous problem: The pirate made a mistake while counting his treasure. He originally thought that he had found 91 gold coins on another island, but it turned out there were only 9 gold coins. With the 22 coins he found on an island, 9 on another island, and 33 hidden in a chest, how many coins does the pirate have now?
Llama 3 70B:
Reasoning: The pirate found 22 gold coins on the island. He had 9 gold coins from another island (not 91, as he previously thought). He also had 33 gold coins hidden in a chest. To find the total number of gold coins, we add these three amounts together: 22 + 9 + 33 = 64. ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: A magical unicorn has (54 - 24) + 25 numbers of rainbow apples. If each rainbow apple can be traded for 51 sparkly diamonds, how many sparkly diamonds can the unicorn get in return?
Llama 3 70B:
Reasoning: The unicorn has (54 - 24) + 25 = 30 + 25 = 55 rainbow apples. Each rainbow apple can be traded for 51 sparkly diamonds, so the unicorn can get 55 x 51 = 2805 sparkly diamonds. ### Answer: 2805
Expected answer: 2805
Correct? Yes
Problem: After trading all of her rainbow apples, the magical unicorn decided to use some of her sparkly diamonds. She gave away 40 diamonds to her unicorn friend and another 12 diamonds to a fairy. How many sparkly diamonds does the unicorn have left?
Llama 3 70B:
Reasoning: The unicorn had 2805 sparkly diamonds initially. She gave away 40 diamonds to her unicorn friend, leaving her with 2805 - 40 = 2765 diamonds. Then, she gave away another 12 diamonds to a fairy, leaving her with 2765 - 12 = 2753 diamonds. ### Answer: 2753
Expected answer: 2753
Correct? Yes
Problem: Suppose instead of having (54 - 24) + 25 rainbow apples, the magical unicorn actually had (54 - 24) + 38 rainbow apples. If she can still trade each rainbow apple for 51 sparkly diamonds, how many sparkly diamonds would she have received?
Llama 3 70B:
Reasoning: The unicorn has (54 - 24) + 38 = 30 + 38 = 68 rainbow apples. Each rainbow apple can be traded for 51 sparkly diamonds, so the unicorn can get 68 x 51 = 3468 sparkly diamonds. ### Answer: 3468
Expected answer: 3468
Correct? Yes
Problem: A phone manufacturer is capable of producing 990 phones every 22 hours. After 33 hours, they add an additional 13 phones to the production batch. How many phones are produced in total at this time?
Llama 3 70B:
Reasoning: The manufacturer can produce 990 phones every 22 hours. In 33 hours, they can produce (990/22) * 33 = 1485 phones. After adding 13 phones to the production batch, the total number of phones produced is 1485 + 13 = 1498. ### Answer: 1498
Expected answer: 1498
Correct? Yes
Problem: In our previous scenario, instead of adding 13 phones, suppose the phone manufacturer adds an additional 80 phones after producing phones for 33 hours. How many phones are produced in total at this time now?
Llama 3 70B:
Reasoning: The manufacturer can produce 990 phones every 22 hours. In 33 hours, they can produce (990/22) * 33 = 1485 phones. After adding 80 phones to the production batch, the total number of phones produced is 1485 + 80 = 1565. ### Answer: 1565
Expected answer: 1565
Correct? Yes
Problem: A tall building has 704 windows in total. If each floor has the same number of windows and the building is 8 floors high, how many windows are there on each floor?
Llama 3 70B:
Reasoning: To find the number of windows on each floor, we need to divide the total number of windows (704) by the number of floors (8). 704 รท 8 = 88 So, there are 88 windows on each floor. ### Answer: 88
Expected answer: 88
Correct? Yes
Problem: After figuring out the total number of windows the maintenance team cleaned in a day, let's consider a different scenario. What if the building had originally been built with 704 windows spread over 71 floors instead of 8? How many windows would there be on each floor then?
Llama 3 70B:
Reasoning: To find the number of windows on each floor, we need to divide the total number of windows (704) by the number of floors (71). 704 รท 71 = 9.92 (approximately) Since we can't have a fraction of a window, we can round down to the nearest whole number. Therefore, there would be approximately 9 windows on each floor. ### Answer: 9
Expected answer: 704/71
Correct? No
Problem: In a small town, each household owns an average of 77 cats. If there are 69 households in the town, how many cats are there in total?
Llama 3 70B:
Reasoning: To find the total number of cats, we need to multiply the average number of cats per household by the number of households. Total number of cats = Average number of cats per household ร Number of households = 77 ร 69 = 5313 ### Answer: 5313
Expected answer: 5313
Correct? Yes
Problem: In a small town, each household owns an average of 77 cats. If there are 69 households in the town, there would be a certain number of cats in total. However, due to some circumstances, 91 of these cats had to be moved to another town. How many cats are left in the town now?
Llama 3 70B:
Reasoning: First, we need to find the total number of cats in the town initially. Total number of cats initially = Average number of cats per household ร Number of households = 77 ร 69 = 5313 Then, 91 cats were moved to another town, so we subtract 91 from the total number of cats initially. Number of cats left = Total number of cats initially - 91 = 5313 - 91 = 5222 ### Answer: 5222
Expected answer: 5222
Correct? Yes
Problem: A chocolate bar factory has 28 machines running every day. If 2 machines break down and stop producing, how many machines are still producing chocolate bars?
Llama 3 70B:
Reasoning: The factory initially has 28 machines running. If 2 machines break down, we need to subtract 2 from 28 to find the number of machines still producing chocolate bars. 28 - 2 = 26 ### Answer: 26
Expected answer: 26
Correct? Yes
Problem: Originally, the chocolate bar factory had 87 machines running every day instead of 28. If 2 of the machines break down, as it happened in the previous scenario, how many machines would still be producing chocolate bars?
Llama 3 70B:
Reasoning: The factory initially has 87 machines running. If 2 machines break down, we need to subtract 2 from 87 to find the number of machines still producing chocolate bars. 87 - 2 = 85 ### Answer: 85
Expected answer: 85
Correct? Yes
Problem: A candlemaker has 37 lavender-scented candles and makes 10 more. He then makes another 24 candles, combines them with the ones he already has, and finally adds 6 vanilla-scented candles to his collection. How many candles does he have in total?
Llama 3 70B:
Reasoning: The candlemaker starts with 37 lavender-scented candles and makes 10 more, so he now has 37 + 10 = 47 lavender-scented candles. He then makes another 24 candles, so he now has a total of 47 + 24 = 71 candles. Finally, he adds 6 vanilla-scented candles to his collection, so he now has a total of 71 + 6 = 77 candles. ### Answer: 77
Expected answer: 77
Correct? Yes
Problem: After creating and combining his different candle types, the candlemaker's friend gifted him an additional 7 candles they made. Now, how many candles does the candlemaker have in total?
Llama 3 70B:
Reasoning: The candlemaker already had 77 candles, and his friend gifted him 7 more candles. To find the total number of candles, we add the number of candles he already had to the number of candles his friend gifted him: 77 + 7 = 84. ### Answer: 84
Expected answer: 84
Correct? Yes
Problem: The candlemaker originally thought he had made 6 vanilla-scented candles, but he actually made 8 instead. Given this correction, with everything else the same, how many candles does the candlemaker have in total now?
Llama 3 70B:
Reasoning: The candlemaker starts with 37 lavender-scented candles and makes 10 more, so he now has 37 + 10 = 47 lavender-scented candles. He then makes another 24 candles, so he now has a total of 47 + 24 = 71 candles. Finally, he adds 8 vanilla-scented candles (not 6) to his collection, so he now has a total of 71 + 8 = 79 candles. ### Answer: 79
Expected answer: 79
Correct? Yes
Problem: What is the result of adding the numbers 12, 4, and 71 together?
Llama 3 70B:
To find the result, I'll add the numbers in the correct order: 1. 12 + 4 = 16 2. 16 + 71 = 87 ### Answer: 87
Expected answer: 87
Correct? Yes
Problem: After finding the sum of 12, 4, and 71, add 15 to the result. What is the new total?
Llama 3 70B:
I already found the sum of 12, 4, and 71, which is 87. Now, I'll add 15 to that result: 87 + 15 = 102 ### Answer: 102
Expected answer: 102
Correct? Yes
Problem: Imagine that initially instead of 12, you started with 53. Now, what would be the result of adding the numbers 53, 4, and 71 together?
Llama 3 70B:
To find the result, I'll add the numbers in the correct order: 1. 53 + 4 = 57 2. 57 + 71 = 128 ### Answer: 128
Expected answer: 128
Correct? Yes
Problem: John's cucumber plant produces 59 cucumbers. Mary's cucumber plant, on the other hand, produces as many cucumbers as John's but minus the difference between John's cucumbers and 9. How many cucumbers did Mary's plant produce?
Llama 3 70B:
Reasoning: Let's break this down step by step. Mary's plant produces as many cucumbers as John's, but minus the difference between John's cucumbers and 9. This means we need to find the difference between John's cucumbers (59) and 9. The difference between 59 and 9 is 59 - 9 = 50. Now, Mary's plant produces as many cucumbers as John's, but minus this difference. So, we subtract 50 from John's cucumbers: 59 - 50 = 9. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: Following up on the previous situation, suppose Sarah takes Mary's cucumber count and adds to it the sum of 54 and 3 cucumbers that she already had before. How many cucumbers does Sarah have now?
Llama 3 70B:
Reasoning: We know that Mary's plant produced 9 cucumbers. Sarah takes this count and adds to it the sum of 54 and 3 cucumbers that she already had before. First, let's find the sum of 54 and 3: 54 + 3 = 57. Now, Sarah adds this sum to Mary's cucumber count: 9 + 57 = 66. ### Answer: 66
Expected answer: 66
Correct? Yes
Problem: Following up on the previous situation with John and Mary, suppose now that Mary's cucumber plant produces as many cucumbers as John's but minus the difference between John's cucumbers and 73. How many cucumbers did Mary's plant produce this time?
Llama 3 70B:
Reasoning: Let's break this down step by step. Mary's plant produces as many cucumbers as John's, but minus the difference between John's cucumbers and 73. This means we need to find the difference between John's cucumbers (59) and 73. The difference between 59 and 73 is 73 - 59 = 14. Now, Mary's plant produces as many cucumbers as John's, but minus this difference. So, we subtract 14 from John's cucumbers: 59 - 14 = 45. ### Answer: 45
Expected answer: 73
Correct? No
Problem: A puzzle game requires 3795 points to complete a level, but a player can only gain points in increments of 69. How many increments are needed to gain the points required to complete the level?
Llama 3 70B:
To find the number of increments needed, we can divide the total points required (3795) by the points gained per increment (69). 3795 รท 69 = 55 So, the player needs 55 increments of 69 points each to gain the 3795 points required to complete the level. ### Answer: 55
Expected answer: 55
Correct? Yes
Problem: In the same puzzle game, consider that to complete a level, a player now requires 3795 points but the points are gained in increments of 19 instead of 69. How many increments of 19 points are now needed to gather the required points to complete the level?
Llama 3 70B:
To find the number of increments needed, we can divide the total points required (3795) by the points gained per increment (19). 3795 รท 19 = 200 So, the player needs 200 increments of 19 points each to gain the 3795 points required to complete the level. ### Answer: 200
Expected answer: 3795/19
Correct? No
Problem: A pirate found a treasure chest with 35 gemstones each worth 57 gold coins. The chest also had an additional 42 gold coins. How many gold coins is the total worth of the treasure chest?
Llama 3 70B:
Reasoning: The pirate found 35 gemstones, each worth 57 gold coins, so the total value of the gemstones is 35 x 57 = 1995 gold coins. The chest also had an additional 42 gold coins, so the total worth of the treasure chest is 1995 + 42 = 2037 gold coins. ### Answer: 2037
Expected answer: 2037
Correct? Yes
Problem: Suppose the pirate initially found a smaller chest with only 6 gemstones, each still worth 57 gold coins, along with an additional 42 gold coins. How many gold coins would be the total worth of this smaller chest?
Llama 3 70B:
Reasoning: The pirate found 6 gemstones, each worth 57 gold coins, so the total value of the gemstones is 6 x 57 = 342 gold coins. The chest also had an additional 42 gold coins, so the total worth of the smaller chest is 342 + 42 = 384 gold coins. ### Answer: 384
Expected answer: 384
Correct? Yes
Problem: A pet store has 35 white mice, 86 brown mice, and 39 black mice. How many mice does the store have in total?
Llama 3 70B:
Reasoning: To find the total number of mice, we need to add the number of white mice, brown mice, and black mice. Let's start by adding the number of white mice and brown mice: 35 + 86 = 121 Then, we add the number of black mice to the result: 121 + 39 = 160 ### Answer: 160
Expected answer: 160
Correct? Yes
Problem: If the pet store decides to double its quantity of each species of mouse โ the white mice, brown mice, and black mice, how many mice will the store have then?
Llama 3 70B:
Reasoning: If the pet store doubles its quantity of each species of mouse, it means we need to multiply the current number of mice of each species by 2. White mice: 35 x 2 = 70 Brown mice: 86 x 2 = 172 Black mice: 39 x 2 = 78 Now, we add the new numbers of each species to find the total number of mice: 70 + 172 + 78 = 320 ### Answer: 320
Expected answer: 320
Correct? Yes
Problem: If the pet store actually had 31 black mice instead of 39 black mice along with the 35 white mice and 86 brown mice, how many mice in total would the pet store then have?
Llama 3 70B:
Reasoning: To find the total number of mice, we need to add the number of white mice, brown mice, and black mice. Let's start by adding the number of white mice and brown mice: 35 + 86 = 121 Then, we add the number of black mice to the result: 121 + 31 = 152 ### Answer: 152
Expected answer: 152
Correct? Yes
Problem: A soap making factory produces 97 bars of soap in one batch. If they made 94 batches in one day, how many bars of soap did they produce that day?
Llama 3 70B:
Reasoning: The factory produces 97 bars of soap in one batch. To find the total number of bars produced in 94 batches, we multiply the number of batches by the number of bars per batch: 94 batches ร 97 bars/batch = 94 ร 97 = 9128. ### Answer: 9128
Expected answer: 9118
Correct? No
Problem: A toy factory produces 5 toy cars every minute. After 76 minutes, they add another batch of 49 toy cars. How many toy cars does the factory have now?
Llama 3 70B:
Reasoning: The factory produces 5 toy cars every minute, so in 76 minutes, it produces 5 x 76 = 380 toy cars. After adding another batch of 49 toy cars, the total number of toy cars is 380 + 49 = 429. ### Answer: 429
Expected answer: 429
Correct? Yes
Problem: After reviewing the production data, the toy car factory realized there was a mistake in their calculation. They actually produce only 4 toy cars every minute instead of 5. If they continue to produce for 76 minutes and add another batch of 49 toy cars as before, how many toy cars will the factory have now?
Llama 3 70B:
Reasoning: The factory produces 4 toy cars every minute, so in 76 minutes, it produces 4 x 76 = 304 toy cars. After adding another batch of 49 toy cars, the total number of toy cars is 304 + 49 = 353. ### Answer: 353
Expected answer: 353
Correct? Yes
Problem: A piece of farmland spans across 9 km. The owner decided to expand his property by 77 km. However, he had to return 71 km due to some legal issues. How many km does the farmer have left after his expansion and subsequent decrease?
Llama 3 70B:
Reasoning: The farmer initially had 9 km of land. After expanding by 77 km, he had 9 + 77 = 86 km. Then, he had to return 71 km, leaving him with 86 - 71 = 15 km. ### Answer: 15
Expected answer: 15
Correct? Yes
Problem: In a similar situation, another farmer currently owns 25 km of farmland. They also decided to expand by 77 km, but like the previous farmer, had to give back 71 km due to legal issues. How many kilometers does this second farmer have left after this expansion and subsequent decrease?
Llama 3 70B:
Reasoning: The farmer initially had 25 km of land. After expanding by 77 km, he had 25 + 77 = 102 km. Then, he had to return 71 km, leaving him with 102 - 71 = 31 km. ### Answer: 31
Expected answer: 31
Correct? Yes
Problem: A paint company is preparing 8930 liters of a specific color. If they can fill up a paint bucket with 95 liters of paint, how many buckets will they be able to fill up completely?
Llama 3 70B:
Reasoning: To find out how many buckets the company can fill, we need to divide the total amount of paint (8930 liters) by the capacity of each bucket (95 liters). 8930 รท 95 = 94 Since we can't fill a fraction of a bucket, we ignore the remainder and take the whole number part of the result. ### Answer: 94
Expected answer: 94
Correct? Yes
Problem: A paint company is preparing 8930 liters of a specific color. If they can fill up a paint bucket with 95 liters of paint, how many buckets will they be able to fill up completely? After the initial sales, the company realized they were missing 73 paint buckets. But soon they found 59 buckets in the warehouse. After adding these found buckets, how many buckets does the company have in total now?
Llama 3 70B:
Reasoning: Part 1: To find out how many buckets the company can fill, we need to divide the total amount of paint (8930 liters) by the capacity of each bucket (95 liters). 8930 รท 95 = 94 Since we can't fill a fraction of a bucket, we ignore the remainder and take the whole number part of the result. ### Answer: 94 Part 2: The company was initially missing 73 buckets, but then they found 59 buckets. To find the total number of buckets they have now, we subtract the number of missing buckets from the initial number of buckets and then add the found buckets. 94 - 73 = 21 21 + 59 = 80 ### Answer: 80
Expected answer: 80
Correct? No
Problem: A bubble machine can make 3654 bubbles with 87 ounces of bubble fluid. How many bubbles can it make with 1 ounce of bubble fluid?
Llama 3 70B:
Reasoning: Let's find the number of bubbles the machine can make with 1 ounce of bubble fluid. We can set up a proportion to relate the number of bubbles to the amount of bubble fluid: 3654 bubbles / 87 ounces = x bubbles / 1 ounce We can cross-multiply to get: 3654 = 87x Now, divide both sides by 87 to solve for x: x = 3654 / 87 x = 42 So, the bubble machine can make 42 bubbles with 1 ounce of bubble fluid. ### Answer: 42
Expected answer: 42
Correct? Yes
Problem: Suppose the bubble machine was actually more efficient and could produce 3654 bubbles with just 47 ounces of bubble fluid. With this rate, how many bubbles can it make with 1 ounce of bubble fluid?
Llama 3 70B:
Reasoning: Let's find the number of bubbles the machine can make with 1 ounce of bubble fluid. We can set up a proportion to relate the number of bubbles to the amount of bubble fluid: 3654 bubbles / 47 ounces = x bubbles / 1 ounce We can cross-multiply to get: 3654 = 47x Now, divide both sides by 47 to solve for x: x = 3654 / 47 x = 78 So, the bubble machine can make 78 bubbles with 1 ounce of bubble fluid. ### Answer: 78
Expected answer: 3654/47
Correct? No
Problem: A juice bar uses 13 apples to make a jug of apple juice. If they made 30 jugs in one day, how many apples did they use?
Llama 3 70B:
Reasoning: The juice bar uses 13 apples to make 1 jug of apple juice. To find out how many apples they used to make 30 jugs, we can multiply the number of apples per jug by the number of jugs: 13 apples/jug ร 30 jugs = 13 ร 30 = 390 apples. ### Answer: 390
Expected answer: 390
Correct? Yes
Problem: Considering the previous scenario, if instead of using 13 apples daily for the fruit salads, they started using 55 apples, how many apples did they use in total when they made fruit salads for 30 days?
Llama 3 70B:
Reasoning: The juice bar uses 55 apples to make fruit salads daily. To find out how many apples they used in total for 30 days, we can multiply the number of apples per day by the number of days: 55 apples/day ร 30 days = 55 ร 30 = 1650 apples. ### Answer: 1650
Expected answer: 1650
Correct? Yes
Problem: A certain dinosaur species laid eggs every 60 minutes. If they had been laying eggs for 1620 minutes straight, how many total eggs would they have laid?
Llama 3 70B:
Reasoning: Since the dinosaur species laid eggs every 60 minutes, we can find the total number of eggs laid by dividing the total time (1620 minutes) by the time interval between eggs (60 minutes). 1620 minutes รท 60 minutes = 27 This means the dinosaur species laid 27 eggs in 1620 minutes. ### Answer: 27
Expected answer: 27
Correct? Yes
Problem: Following the previous scenario, suppose the paleontologists revised their calculations and found that the dinosaur species was actually laying eggs every 47 minutes, not 60 as originally thought. In that case, how many total eggs would the dinosaur have laid if it had been laying eggs for 1620 minutes straight?
Llama 3 70B:
Reasoning: Since the dinosaur species laid eggs every 47 minutes, we can find the total number of eggs laid by dividing the total time (1620 minutes) by the time interval between eggs (47 minutes). 1620 minutes รท 47 minutes = 34.47 (approximately) Since we can't have a fraction of an egg, we round down to the nearest whole number, as the dinosaur can't lay a fraction of an egg. 34.47 โ 34 This means the dinosaur species laid 34 eggs in 1620 minutes. ### Answer: 34
Expected answer: 1620/47
Correct? No
Problem: A library received a shipment of new books. There were 55 romance novels, 43 mystery novels, and 67 science fiction novels. How many new books did the library receive?
Llama 3 70B:
Reasoning: To find the total number of new books, we need to add the number of romance novels, mystery novels, and science fiction novels. Let's add the numbers: 55 (romance novels) + 43 (mystery novels) = 98 98 + 67 (science fiction novels) = 165 ### Answer: 165
Expected answer: 165
Correct? Yes
Problem: In the original shipment to the library, suppose there were 95 science fiction novels instead of 67. With the 55 romance novels and 43 mystery novels remaining the same, how many new books did the library receive now?
Llama 3 70B:
Reasoning: To find the total number of new books, we need to add the number of romance novels, mystery novels, and science fiction novels. Let's add the numbers: 55 (romance novels) + 43 (mystery novels) = 98 98 + 95 (science fiction novels) = 193 ### Answer: 193
Expected answer: 193
Correct? Yes
Problem: On a particular beach, there is a tendency for 74 seashells to appear every day. After 42 days of collection, a beachcomber also discovered an additional 56 seashells that had been hidden in the sand. How many seashells did the beachcomber have in total after 42 days?
Llama 3 70B:
Reasoning: The beachcomber collected 74 seashells per day for 42 days, so the total number of seashells collected is 74 x 42 = 3108. The beachcomber also found 56 additional seashells, so the total number of seashells is 3108 + 56 = 3164. ### Answer: 3164
Expected answer: 3164
Correct? Yes
Problem: Building on our beachcomber's tale, after counting his 42-day collection of seashells, he accidentally loses one seashell down a seaside crevice. Disappointed but not defeated, he decides to collect 32 more seashells the next day. How many seashells does he have in total after adding the new batch and accounting for the lost seashell?
Llama 3 70B:
Reasoning: The beachcomber had 3164 seashells initially. He lost 1 seashell, so he had 3164 - 1 = 3163 seashells left. The next day, he collected 32 more seashells, so he now has 3163 + 32 = 3195 seashells. ### Answer: 3195
Expected answer: 3195
Correct? Yes
Problem: Let's revisit our beachcomber. After reconsidering his collection habit, he realizes he has been actually collecting an average of 89 seashells per day instead of 74, over the same 42 day period. He still found that additional 56 seashells hidden in the sand. Now, how many seashells does he have in total after 42 days?
Llama 3 70B:
Reasoning: The beachcomber collected 89 seashells per day for 42 days, so the total number of seashells collected is 89 x 42 = 3738. The beachcomber also found 56 additional seashells, so the total number of seashells is 3738 + 56 = 3794. ### Answer: 3794
Expected answer: 3794
Correct? Yes