Common Core Standard 6.NS.B.3
This standard covers the following:
Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.
Problem: A window cleaning company charges $533.89 for cleaning the windows of a large building, and this cost is equally shared by 20.3 tenants. How much does each tenant contribute to the window cleaning cost?
DeepSeek 67B:
Reasoning: To find out how much each tenant contributes, we need to divide the total cost by the number of tenants. Total cost = $533.89 Number of tenants = 20.3 Contribution per tenant = Total cost / Number of tenants Contribution per tenant = $533.89 / 20.3 Calculating the result: Contribution per tenant = $26.30 Each tenant contributes $26.30 to the window cleaning cost. ### Answer: $26.30
Expected answer: 26.3000000000000
Correct? Yes
Problem: Previously, the window cleaning cost was divided among the tenants based on a total expense of $533.89. However, it turns out there was a mistake in the billing and the cleaning company only charged $21 for the job. With this adjusted cost, how much would each of the 20.3 tenants need to contribute to the window cleaning cost now?
DeepSeek 67B:
Reasoning: To find out how much each tenant contributes now, we need to divide the adjusted total cost by the number of tenants. Adjusted total cost = $21 Number of tenants = 20.3 Contribution per tenant = Adjusted total cost / Number of tenants Contribution per tenant = $21 / 20.3 Calculating the result: Contribution per tenant = $1.03 Each tenant now needs to contribute $1.03 to the window cleaning cost. ### Answer: $1.03
Expected answer: 1.03448275862069
Correct? Yes
Problem: A company distributed 2218.5 kilograms of cucumber equally among 51 grocery stores. How many kilograms of cucumber did each store receive?
DeepSeek 67B:
Reasoning: To find out how many kilograms of cucumber each store received, we need to divide the total amount of cucumber (2218.5 kg) by the number of grocery stores (51). Solution: Each store received 2218.5 kg / 51 = 43.5 kg of cucumber. ### Answer: 43.5
Expected answer: 43.5000000000000
Correct? Yes
Problem: After the grocery stores received their portions of cucumber, each store decided to use 25.3 kilograms of their share for a special cucumber salad. How many kilograms of cucumber were left at each store after making the salad?
DeepSeek 67B:
Reasoning: To find out how many kilograms of cucumber were left at each store after making the salad, we need to subtract the amount of cucumber used for the salad (25.3 kg) from the amount each store received (43.5 kg). Solution: Each store had 43.5 kg - 25.3 kg = 18.2 kg of cucumber left after making the salad. ### Answer: 18.2
Expected answer: 18.2000000000000
Correct? Yes
Problem: A hat maker uses 70.2 grams of wool to make each hat. If they plan on making 39.2 hats, how many grams of wool will they need in total?
DeepSeek 67B:
Reasoning: The hat maker needs 70.2 grams of wool for each hat. To find the total amount of wool needed, we multiply the amount of wool per hat by the number of hats. 70.2 grams/hat * 39.2 hats = 2744.24 grams The hat maker will need 2744.24 grams of wool in total. ### Answer: 2744.24
Expected answer: 2751.84000000000
Correct? No
Problem: A cucumber weighs 1.93 pounds on average. If a farmer collects 18.06 cucumbers from his garden, how many pounds of cucumbers does he have in total?
DeepSeek 67B:
Reasoning: The total weight of the cucumbers is 18.06 * 1.93 = <<18.06*1.93=34.84>>34.84 pounds. ### Answer: 34.84
Expected answer: 34.8558000000000
Correct? Yes
Problem: After collecting his cucumbers, the farmer remembers that he already has 54.5 pounds of cucumbers in storage. By adding the newly harvested cucumbers to his storage, what is the combined weight of cucumbers the farmer has now?
DeepSeek 67B:
Reasoning: The combined weight of cucumbers is 54.5 + 34.84 = <<54.5+34.84=89.34>>89.34 pounds. ### Answer: 89.34
Expected answer: 89.3558000000000
Correct? Yes
Problem: In retrospect, the farmer realizes that he actually collected 81 cucumbers instead of 18.06 from his garden. Given that a cucumber still weighs an average of 1.93 pounds, how many pounds of cucumbers did he actually harvest?
DeepSeek 67B:
Reasoning: The total weight of the cucumbers is 81 * 1.93 = <<81*1.93=156.93>>156.93 pounds. ### Answer: 156.93
Expected answer: 156.330000000000
Correct? No
Problem: A mouse starts running from a point, he runs for 10.4 meters towards east, then turns around and runs for another 37.12 meters towards west. What is the total distance the mouse has run?
DeepSeek 67B:
Reasoning: The mouse runs 10.4 meters towards east and then 37.12 meters towards west. The total distance the mouse has run is 10.4 + 37.12 = <<10.4+37.12=47.52>>47.52 meters. ### Answer: 47.52
Expected answer: 47.5200000000000
Correct? Yes
Problem: Continuing from the original problem, if the mouse starts by running a distance of 10.4 meters towards east, then changes his route and only runs 24 meters towards west instead of 37.12 meters, what would be the total distance run by the mouse then?
DeepSeek 67B:
Reasoning: The mouse runs 10.4 meters towards east and then 24 meters towards west. The total distance the mouse has run is 10.4 + 24 = <<10.4+24=34.4>>34.4 meters. ### Answer: 34.4
Expected answer: 34.4000000000000
Correct? Yes
Problem: You bought a gold ring weighing 83.07 grams, but after polishing and curving, you lost 3.4 grams of gold from the ring. What is the weight of the finished ring?
DeepSeek 67B:
Reasoning: The weight of the gold ring after polishing and curving is the initial weight of the ring minus the weight lost during the process. So, the weight of the finished ring is 83.07 - 3.4 = <<83.07-3.4=79.67>>79.67 grams. Answer: 79.67
Expected answer: 79.6700000000000
Correct? Yes
Problem: You bought a gold ring weighing 83.07 grams, but after polishing and curving, you lost 3.4 grams of gold from the ring. Afterward, you decided to add 6.8 grams of platinum to the ring. What is the total weight of the ring now?
DeepSeek 67B:
Reasoning: The total weight of the ring now is the weight of the finished gold ring plus the weight of the added platinum. So, the total weight of the ring now is 79.67 + 6.8 = <<79.67+6.8=86.47>>86.47 grams. Answer: 86.47
Expected answer: 86.4700000000000
Correct? Yes
Problem: You bought a gold ring weighing 83.07 grams, but after an intricate engraving process, you lost 18 grams of gold from the ring. What is the weight of the engraved ring now?
DeepSeek 67B:
Reasoning: The weight of the gold ring after the engraving process is the initial weight of the ring minus the weight lost during the process. So, the weight of the engraved ring is 83.07 - 18 = <<83.07-18=65.07>>65.07 grams. Answer: 65.07
Expected answer: 65.0700000000000
Correct? Yes
Problem: A forest has 70.3 hectares filled with oak trees. If each hectare can absorb 88.8 tons of carbon dioxide a year, how many tons of carbon dioxide in total can these hectares of oak trees absorb in a year?
DeepSeek 67B:
Reasoning: To find the total amount of carbon dioxide that can be absorbed by the oak trees in the forest, we need to multiply the number of hectares by the amount of carbon dioxide absorbed per hectare. Number of hectares = 70.3 Amount of carbon dioxide absorbed per hectare = 88.8 tons Total amount of carbon dioxide absorbed = Number of hectares * Amount of carbon dioxide absorbed per hectare Total amount of carbon dioxide absorbed = 70.3 * 88.8 Calculating the result: Total amount of carbon dioxide absorbed = 6255.84 tons ### Answer: 6255.84
Expected answer: 6242.64000000000
Correct? No
Problem: There were 81.4 kilograms of cucumbers in the storage room. After selling some of them, the weight dropped to 66.05 kilograms. How many kilograms of cucumbers were sold?
DeepSeek 67B:
Reasoning: The weight of cucumbers sold is the difference between the initial weight and the final weight. So, the weight of cucumbers sold is 81.4 - 66.05 = 15.35 kilograms. ### Answer: 15.35
Expected answer: 15.3500000000000
Correct? Yes
Problem: Following from the previous problem, let's say initially there were 81.4 kilograms of cucumbers in the storage room but this time, the quantity sold was different, amounting to 44 kilograms instead. How many kilograms of cucumbers were left in the storage room after this sale?
DeepSeek 67B:
Reasoning: The weight of cucumbers left in the storage room is the initial weight minus the weight sold. So, the weight of cucumbers left in the storage room is 81.4 - 44 = 37.4 kilograms. ### Answer: 37.4
Expected answer: 37.4000000000000
Correct? Yes
Problem: A snow machine produces 60.87 pounds of artificial snow per hour. If the machine runs for 27.5 hours, how many pounds of artificial snow will be produced?
DeepSeek 67B:
Reasoning: To find the total amount of artificial snow produced, we need to multiply the amount produced per hour by the number of hours the machine runs. 60.87 pounds/hour * 27.5 hours = 1675.625 pounds So, the snow machine will produce 1675.625 pounds of artificial snow. ### Answer: 1675.625
Expected answer: 1673.92500000000
Correct? No
Problem: A dolphin can travel 1687.56 miles within a certain period. If it travels the same distance in 29.4 days, how many miles does the dolphin travel each day?
DeepSeek 67B:
Reasoning: To find out how many miles the dolphin travels each day, we need to divide the total distance it travels by the number of days. Solution: The dolphin travels 1687.56 miles in 29.4 days. To find out how many miles it travels each day, we divide 1687.56 by 29.4: 1687.56 / 29.4 = 57.4 miles per day. Answer: The dolphin travels 57.4 miles each day.
Expected answer: 57.4000000000000
Correct? Yes
Problem: Following from the previous problem, if a dolphin can travel an additional 57.93 miles per day due to current in its favor, how many total miles does the dolphin travel each day?
DeepSeek 67B:
Reasoning: To find out how many total miles the dolphin travels each day, we need to add the additional miles it travels due to the current to the miles it travels without the current. Solution: The dolphin travels 57.4 miles per day without the current. With the current in its favor, it can travel an additional 57.93 miles per day. To find out how many total miles it travels each day, we add 57.4 and 57.93: 57.4 + 57.93 = 115.33 miles per day. Answer: The dolphin travels 115.33 miles each day with the current in its favor.
Expected answer: 115.330000000000
Correct? Yes
Problem: Following from the previous problem, what if the dolphin had travelled the same 1687.56 miles, but over a longer period of 91 days. How many miles would the dolphin have travelled each day then?
DeepSeek 67B:
Reasoning: To find out how many miles the dolphin travels each day, we need to divide the total distance it travels by the number of days. Solution: The dolphin travels 1687.56 miles in 91 days. To find out how many miles it travels each day, we divide 1687.56 by 91: 1687.56 / 91 = 18.5 miles per day. Answer: The dolphin would have traveled 18.5 miles each day.
Expected answer: 18.5446153846154
Correct? Yes
Problem: A truck was carrying a load of 65.4 tons, but 56.3 tons were delivered. How many tons are still on the truck?
DeepSeek 67B:
Reasoning: The truck was carrying 65.4 tons, but 56.3 tons were delivered. So, the remaining tons on the truck are 65.4 - 56.3 = <<65.4-56.3=9.1>>9.1 tons. ### Answer: 9.1
Expected answer: 9.10000000000000
Correct? Yes
Problem: After delivering 56.3 tons from an initial load of 65.4 tons, the truck is loaded again with an additional 15.0 tons. How many tons does the truck carry now?
DeepSeek 67B:
Reasoning: The truck initially carried 65.4 tons, then delivered 56.3 tons, and was loaded again with 15.0 tons. So, the total tons on the truck now are 65.4 - 56.3 + 15.0 = <<65.4-56.3+15.0=24.1>>24.1 tons. ### Answer: 24.1
Expected answer: 24.1000000000000
Correct? Yes
Problem: Instead of delivering 56.3 tons from an initial load of 65.4 tons as in the previous scenario, the driver only delivered 22 tons. How many tons are still on the truck now?
DeepSeek 67B:
Reasoning: The truck was carrying 65.4 tons, but only 22 tons were delivered. So, the remaining tons on the truck are 65.4 - 22 = <<65.4-22=43.4>>43.4 tons. ### Answer: 43.4
Expected answer: 43.4000000000000
Correct? Yes
Problem: On a farm, there are 41.98 acres of land dedicated to growing corn and another 68.1 acres of land dedicated to growing wheat. How many acres of land has the farm dedicated to growing crops in total?
DeepSeek 67B:
Reasoning: To find the total number of acres dedicated to growing crops, we need to add the number of acres dedicated to growing corn and the number of acres dedicated to growing wheat. 41.98 + 68.1 = <<41.98+68.1=110.08>>110.08 acres ### Answer: 110.08
Expected answer: 110.080000000000
Correct? Yes
Problem: On a farm, there are 41.98 acres of land dedicated to growing corn and another 68.1 acres of land dedicated to growing wheat. After the crops had grown, due to an increase in demand, the farm decides to increase their land allocation for crops by a factor of 69.3 times their current allocation. How many acres will the farm dedicate to growing crops after this increase?
DeepSeek 67B:
Reasoning: To find the total number of acres dedicated to growing crops after the increase, we need to multiply the current number of acres dedicated to growing crops by the increase factor. 41.98 + 68.1 = 110.08 acres (current total) 110.08 * 69.3 = <<110.08*69.3=7631.864>>7631.864 acres (total after increase) ### Answer: 7631.864
Expected answer: 7628.54400000000
Correct? No
Problem: In the original situation on the farm, there were 41.98 acres of land dedicated to growing corn and another 68.1 acres of land dedicated to growing wheat. Now consider that the farm had originally dedicated 88 acres of land to growing corn, instead of 41.98, while keeping the land for wheat the same. How many acres of land in total would the farm have dedicated to growing crops in this scenario?
DeepSeek 67B:
Reasoning: To find the total number of acres dedicated to growing crops in this scenario, we need to add the number of acres dedicated to growing corn and the number of acres dedicated to growing wheat. 88 + 68.1 = <<88+68.1=156.1>>156.1 acres ### Answer: 156.1
Expected answer: 156.100000000000
Correct? Yes
Problem: A jeweler needs 97.79 grams of gold to make a men's ring and 75.6 grams of gold to make a women's ring. How many grams of gold in total does the jeweler need to make both the rings?
DeepSeek 67B:
Reasoning: The jeweler needs 97.79 grams of gold to make a men's ring and 75.6 grams of gold to make a women's ring. To find the total amount of gold needed, we add the amount of gold needed for each ring. Solution: Total gold needed = 97.79 grams (men's ring) + 75.6 grams (women's ring) Total gold needed = 173.39 grams The jeweler needs 173.39 grams of gold in total to make both the rings.
Expected answer: 173.390000000000
Correct? Yes
Problem: A skateboard manufacturer spent $5098.56 to produce skateboards and the cost to produce each skateboard was $56.4. How many skateboards did the manufacturer produce?
DeepSeek 67B:
Reasoning: The manufacturer spent $5098.56 to produce skateboards and the cost to produce each skateboard was $56.4. The number of skateboards produced is $5098.56/$56.4 = <<5098.56/56.4=90.5>>90.5 skateboards. ### Answer: 90.5
Expected answer: 90.4000000000000
Correct? Yes
Problem: Assuming that the last problem interpreted $5098.56 as the cost to produce skateboards and $56.4 as the cost of each skateboard. Let's consider the situation where the cost to produce each skateboard was reduced to $8. Under these new conditions, how many skateboards could the manufacturer produce with the same budget of $5098.56?
DeepSeek 67B:
Reasoning: The manufacturer has a budget of $5098.56 and the cost to produce each skateboard is $8. The number of skateboards produced is $5098.56/$8 = <<5098.56/8=637.32>>637.32 skateboards. ### Answer: 637.32
Expected answer: 637.320000000000
Correct? Yes
Problem: If a drum kit weighs 97.35 pounds and another drum kit weighs 93.19 pounds, what is their combined weight in pounds?
DeepSeek 67B:
Reasoning: To find the combined weight of the drum kits, we add the weight of each drum kit together. The combined weight of the drum kits is 97.35 + 93.19 = <<97.35+93.19=190.54>>190.54 pounds. ### Answer: 190.54
Expected answer: 190.540000000000
Correct? Yes
Problem: If a drum kit weighs 97.35 pounds and another drum kit weighs 93.19 pounds, what is their combined weight in pounds? If the combined weight is then multiplied by 37.8, what would be the new weight?
DeepSeek 67B:
Reasoning: To find the combined weight of the drum kits, we add the weight of each drum kit together. The combined weight of the drum kits is 97.35 + 93.19 = <<97.35+93.19=190.54>>190.54 pounds. To find the new weight after multiplying by 37.8, we multiply the combined weight by 37.8. The new weight is 190.54 * 37.8 = <<190.54*37.8=7221.252>>7221.252 pounds. ### Answer: 7221.252
Expected answer: 7202.41200000000
Correct? No
Problem: If initially, one of the drum kits weighed 46 pounds instead of 97.35 pounds and the other drum kit still weighed 93.19 pounds, what would then be their combined weight in pounds?
DeepSeek 67B:
Reasoning: To find the combined weight of the drum kits, we add the weight of each drum kit together. The combined weight of the drum kits is 46 + 93.19 = <<46+93.19=139.19>>139.19 pounds. ### Answer: 139.19
Expected answer: 139.190000000000
Correct? Yes
Problem: A community well contained 4723.97 gallons of water. If the water from the well is equally divided into 89.3 water tanks, how many gallons of water will each tank contain?
DeepSeek 67B:
Reasoning: To find out how many gallons of water each tank will contain, we need to divide the total amount of water in the well by the number of tanks. Total amount of water in the well = 4723.97 gallons Number of tanks = 89.3 Amount of water per tank = Total amount of water / Number of tanks Amount of water per tank = 4723.97 / 89.3 Calculating the result: Amount of water per tank = 52.99 gallons Each tank will contain 52.99 gallons of water. ### Answer: 52.99
Expected answer: 52.9000000000000
Correct? Yes
Problem: A certain breed of cat eats 53.68 grams of cat food per meal. If a cat of this breed eats 83.54 meals, how many grams of cat food will it consume in total?
DeepSeek 67B:
Reasoning: To find the total amount of cat food consumed, we need to multiply the amount of food per meal by the number of meals. Solution: 53.68 grams/meal * 83.54 meals = 4474.472 grams The cat will consume 4474.472 grams of cat food in total.
Expected answer: 4484.42720000000
Correct? No
Problem: A blanket weaver started with 82.91 yards of wool. After weaving a blanket, she was left with 4.1 yards of wool. How many yards of wool did she use to weave the blanket?
DeepSeek 67B:
Reasoning: The weaver started with 82.91 yards of wool and was left with 4.1 yards of wool after weaving the blanket. The weaver used 82.91 - 4.1 = <<82.91-4.1=78.81>>78.81 yards of wool to weave the blanket. ### Answer: 78.81
Expected answer: 78.8100000000000
Correct? Yes
Problem: After the blanket weaver has used a certain amount of wool to weave a blanket, she bought an additional 89.2 yards of wool. How much wool does she have now in total?
DeepSeek 67B:
Reasoning: The weaver started with 82.91 yards of wool, used 78.81 yards to weave the blanket, and bought an additional 89.2 yards of wool. The weaver now has 82.91 - 78.81 + 89.2 = <<82.91-78.81+89.2=93.3>>93.3 yards of wool in total. ### Answer: 93.3
Expected answer: 168.010000000000
Correct? No
Problem: A car travels at a consistent speed of 2.1 miles per minute. If it remains at this speed for 47.74 minutes, how many miles will it cover?
DeepSeek 67B:
Reasoning: The car travels at a speed of 2.1 miles per minute. If it remains at this speed for 47.74 minutes, it will cover 2.1 * 47.74 miles. Calculating the answer: 2.1 * 47.74 = 100 miles The car will cover 100 miles. ### Answer: 100
Expected answer: 100.254000000000
Correct? No
Problem: A towel supplier has 12.42 yards of cotton fabric and 81.62 yards of silk fabric. How many yards of fabric does the supplier have in total?
DeepSeek 67B:
Reasoning: To find the total amount of fabric the supplier has, we need to add the amount of cotton fabric to the amount of silk fabric. Calculating the total amount of fabric: 12.42 yards of cotton fabric + 81.62 yards of silk fabric = 94.04 yards of fabric in total. ### Answer: 94.04
Expected answer: 94.0400000000000
Correct? Yes
Problem: The same towel supplier later received an additional 46.95 yards of fabric. How many yards of fabric does the supplier now have in total?
DeepSeek 67B:
Reasoning: To find the total amount of fabric the supplier now has, we need to add the additional amount of fabric to the previous total. Calculating the new total amount of fabric: 94.04 yards of fabric + 46.95 yards of fabric = 141 yards of fabric in total. ### Answer: 141
Expected answer: 140.990000000000
Correct? No
Problem: What if, initially, the towel supplier had 27 yards of cotton fabric instead of 12.42 yards, with the same 81.62 yards of silk fabric? How many yards of fabric does the supplier then have in total?
DeepSeek 67B:
Reasoning: To find the total amount of fabric the supplier has, we need to add the amount of cotton fabric to the amount of silk fabric. Calculating the total amount of fabric: 27 yards of cotton fabric + 81.62 yards of silk fabric = 108.62 yards of fabric in total. ### Answer: 108.62
Expected answer: 108.620000000000
Correct? Yes
Problem: A music producer gets paid $22.78 for every minute of a song. If the song is 91.0 minutes long, how much does the music producer get paid for that specific song?
DeepSeek 67B:
Reasoning: The music producer gets paid $22.78 for every minute of a song. If the song is 91.0 minutes long, the music producer gets paid $22.78*91 = $<<22.78*91=2065.58>>2065.58 for that specific song. ### Answer: 2065.58
Expected answer: 2072.98000000000
Correct? No
Problem: A study of a forest area found that it consisted of 87.0 square kilometers of deciduous trees and 50.9 square kilometers of coniferous trees. What is the total area covered by these types of trees in the forest?
DeepSeek 67B:
Reasoning: To find the total area covered by deciduous and coniferous trees, we need to add the area of each type of tree. Solution: The total area covered by deciduous trees is 87.0 square kilometers. The total area covered by coniferous trees is 50.9 square kilometers. Total area covered by deciduous and coniferous trees = 87.0 + 50.9 = <<87+50.9=137.9>>137.9 square kilometers. ### Answer: 137.9
Expected answer: 137.900000000000
Correct? Yes
Problem: If instead of the 87.0 square kilometers of deciduous trees, there were actually only 44 square kilometers of them, what would now be the total area covered by the deciduous and the coniferous trees in the forest?
DeepSeek 67B:
Reasoning: To find the new total area covered by deciduous and coniferous trees, we need to add the new area of deciduous trees to the area of coniferous trees. Solution: The new total area covered by deciduous trees is 44 square kilometers. The total area covered by coniferous trees remains 50.9 square kilometers. New total area covered by deciduous and coniferous trees = 44 + 50.9 = <<44+50.9=94.9>>94.9 square kilometers. ### Answer: 94.9
Expected answer: 94.9000000000000
Correct? Yes
Problem: A butterfly collector has 50.1 butterfly species in his collection. He then discovers a new location which has 96.8 species. How many species does he have in total now?
DeepSeek 67B:
Reasoning: The collector has 50.1 + 96.8 = <<50.1+96.8=146.9>>146.9 species in total now. ### Answer: 146.9
Expected answer: 146.900000000000
Correct? Yes
Problem: The butterfly collector later visits another location and discovers an additional 61.65 species. How many species does he have in total now?
DeepSeek 67B:
Reasoning: The collector has 146.9 + 61.65 = <<146.9+61.65=208.55>>208.55 species in total now. ### Answer: 208.55
Expected answer: 208.550000000000
Correct? Yes
Problem: Suppose the butterfly collector initially had 88 butterfly species in his collection instead of 50.1. After discovering the new location which has 96.8 species, how many species total does he have now?
DeepSeek 67B:
Reasoning: The collector has 88 + 96.8 = <<88+96.8=184.8>>184.8 species in total now. ### Answer: 184.8
Expected answer: 184.800000000000
Correct? Yes
Problem: Jenny bought a dress for $91.87 and the matching accessories for $36.74. What is the total cost of Jenny's purchase?
DeepSeek 67B:
Reasoning: To find the total cost of Jenny's purchase, we need to add the cost of the dress and the cost of the accessories. Jenny bought a dress for $91.87 and the matching accessories for $36.74. Total cost = $91.87 + $36.74 = $128.61 ### Answer: $128.61
Expected answer: 128.610000000000
Correct? Yes
Problem: Jenny bought a dress for $91.87 and the matching accessories for $36.74. Afterward, she decided to purchase a pair of shoes for $12.4 to complete her outfit. How much did she spend in total?
DeepSeek 67B:
Reasoning: To find the total cost of Jenny's purchase, we need to add the cost of the dress, the cost of the accessories, and the cost of the shoes. Jenny bought a dress for $91.87, the matching accessories for $36.74, and a pair of shoes for $12.4. Total cost = $91.87 + $36.74 + $12.4 = $140.91 ### Answer: $140.91
Expected answer: 141.010000000000
Correct? No
Problem: Jenny bought a dress for $91.87, but she noticed that she was charged an extra $50 more than she expected. How much did she actually spend for her dress?
DeepSeek 67B:
Reasoning: Jenny was charged an extra $50 more than she expected, so we need to add this amount to the original cost of the dress to find out how much she actually spent. Jenny bought a dress for $91.87 and was charged an extra $50. Actual cost = $91.87 + $50 = $141.87 ### Answer: $141.87
Expected answer: 141.870000000000
Correct? Yes
Problem: During a big snowfall, a machine produced 3442.04 cubic inches of artificial snow. They used it to create 64.7 equally-sized snowballs. How many cubic inches of snow are in each snowball?
DeepSeek 67B:
Reasoning: To find the volume of each snowball, we need to divide the total volume of snow by the number of snowballs. Volume of snow / Number of snowballs = Volume of each snowball 3442.04 cubic inches / 64.7 snowballs = Volume of each snowball Calculating the result: 3442.04 / 64.7 = 53.2 cubic inches So, each snowball has 53.2 cubic inches of snow. ### Answer: 53.2
Expected answer: 53.2000000000000
Correct? Yes
Problem: Upon inspecting each snowball, they decided to condense them into larger ones, which used up the volume of 7.8 of the original snowballs. How many cubic inches of snow are in each of the new larger snowballs?
DeepSeek 67B:
Reasoning: To find the volume of each new larger snowball, we need to divide the total volume of snow by the number of new larger snowballs. Volume of snow / Number of new larger snowballs = Volume of each new larger snowball 3442.04 cubic inches - (7.8 * 53.2 cubic inches) = Volume of snow in new larger snowballs Calculating the result: 3442.04 - (7.8 * 53.2) = 2800.8 cubic inches Now, we need to find the number of new larger snowballs: 64.7 - 7.8 = 56.9 new larger snowballs Finally, we can find the volume of each new larger snowball: 2800.8 cubic inches / 56.9 new larger snowballs = Volume of each new larger snowball Calculating the result: 2800.8 / 56.9 = 49.3 cubic inches So, each new larger snowball has 49.3 cubic inches of snow. ### Answer: 49.3
Expected answer: 414.960000000000
Correct? No
Problem: In a different scenario, instead of using the machine to produce 3442.04 cubic inches snow for 64.7 snowballs, it was used to create the same total volume of snow, but for only 7 large snowballs instead. How many cubic inches of snow would be in each of these large snowballs?
DeepSeek 67B:
Reasoning: To find the volume of each large snowball, we need to divide the total volume of snow by the number of large snowballs. Volume of snow / Number of large snowballs = Volume of each large snowball 3442.04 cubic inches / 7 large snowballs = Volume of each large snowball Calculating the result: 3442.04 / 7 = 491.72 cubic inches So, each large snowball would have 491.72 cubic inches of snow. ### Answer: 491.72
Expected answer: 491.720000000000
Correct? Yes
Problem: A cheese factory produced 8578.02 kilograms of cheese and decided to distribute it evenly to 90.2 supermarkets. How many kilograms of cheese will each supermarket receive?
DeepSeek 67B:
Reasoning: To find out how many kilograms of cheese each supermarket will receive, we need to divide the total amount of cheese produced by the number of supermarkets. Calculating the answer: 8578.02 kilograms / 90.2 supermarkets = 95.09 kilograms Each supermarket will receive approximately 95.09 kilograms of cheese.
Expected answer: 95.1000000000000
Correct? No
Problem: A chicken farm contains 47.33 chickens per coop and a total of 73.34 coops. How many chickens are in all of the coops combined?
DeepSeek 67B:
Reasoning: To find the total number of chickens in all the coops, we need to multiply the number of chickens per coop by the total number of coops. 47.33 chickens/coop * 73.34 coops = 3460.66 chickens So, there are 3460.66 chickens in all of the coops combined.
Expected answer: 3471.18220000000
Correct? No
Problem: A dragon was on a treasure collecting spree. In one castle, it found a huge pile of gold weighing 51.76 kg. In the next castle, it found an even bigger pile of gold weighing 65.26 kg. How much gold in kilograms did the dragon collect in total from the two castles?
DeepSeek 67B:
Reasoning: To find the total amount of gold the dragon collected, we need to add the weight of gold from both castles. The dragon collected 51.76 kg of gold from the first castle and 65.26 kg of gold from the second castle. Total gold collected = 51.76 kg + 65.26 kg = 117.02 kg The dragon collected a total of 117.02 kg of gold from the two castles. ### Answer: 117.02
Expected answer: 117.020000000000
Correct? Yes
Problem: After collecting the gold from the castles, the dragon decided to give away some of it to its dragon friends. It gave away 98.5 kg of gold. How much gold in kilograms does the dragon have left now?
DeepSeek 67B:
Reasoning: To find out how much gold the dragon has left, we need to subtract the amount of gold it gave away from the total amount of gold it collected. The dragon collected 117.02 kg of gold and gave away 98.5 kg of gold. Gold left = Total gold collected - Gold given away Gold left = 117.02 kg - 98.5 kg = 18.52 kg The dragon has 18.52 kg of gold left. ### Answer: 18.52
Expected answer: 18.5200000000000
Correct? Yes
Problem: A beach ball weighs 16.3 grams and a child decides to take 3.4 balls to the beach. How much would all the balls weigh together in grams?
DeepSeek 67B:
Reasoning: The child takes 3.4 balls to the beach, so the total weight of the balls is 3.4*16.3 = <<3.4*16.3=55.42>>55.42 grams. ### Answer: 55.42
Expected answer: 55.4200000000000
Correct? Yes
Problem: After their day at the beach, the child wants to ship the 3.4 balls to their cousin. The shipping company charges based on the square of the weight in grams. How much would it cost to ship the beach balls if the cost is proportional to the square of the weight?
DeepSeek 67B:
Reasoning: The weight of the balls is 55.42 grams, so the cost of shipping is proportional to 55.42^2 = <<55.42^2=3075.68>>3075.68. ### Answer: 3075.68
Expected answer: 3071.37640000000
Correct? No
Problem: The child's sibling also decided to ship their balls to a friend. However, their balls are slightly heavier, each weighing about 61 grams. If the sibling also wants to ship 3.4 balls, how much would all these balls weigh together in grams?
DeepSeek 67B:
Reasoning: The sibling's balls weigh 61 grams each, so the total weight of the balls is 3.4*61 = <<3.4*61=208.4>>208.4 grams. ### Answer: 208.4
Expected answer: 207.400000000000
Correct? No
Problem: In one city, the rainfall increased this week by an abnormal rate of 7.97 inches per day. If this increase remained constant for 52.7 days, how many inches of rain fell during that time?
DeepSeek 67B:
Reasoning: The rainfall increased by 7.97 inches per day for 52.7 days. To find the total inches of rain that fell during that time, we need to multiply the increase per day by the number of days. Calculation: Total inches of rain = Increase per day * Number of days Total inches of rain = 7.97 inches/day * 52.7 days Total inches of rain = 417.239 inches Answer: 417.239 inches of rain fell during that time.
Expected answer: 420.019000000000
Correct? No
Problem: A ballerina spends 20.77 hours per week practicing her routines and an additional 73.03 hours working on her strength and flexibility. How many hours does the ballerina train in total per week?
DeepSeek 67B:
Reasoning: The ballerina spends 20.77 + 73.03 = <<20.77+73.03=93.8>>93.8 hours training per week. ### Answer: 93.8
Expected answer: 93.8000000000000
Correct? Yes
Problem: After spending 20.77 hours per week practicing her routines and an additional 73.03 hours working on her strength and flexibility, the ballerina decides to further enhance her performance by spending another 58.1 hours on conditioning activities. How many hours does the ballerina train in total per week now?
DeepSeek 67B:
Reasoning: The ballerina spends 20.77 + 73.03 + 58.1 = <<20.77+73.03+58.1=151.9>>151.9 hours training per week. ### Answer: 151.9
Expected answer: 151.900000000000
Correct? Yes
Problem: Initially, the ballerina spent 20.77 hours practicing her routines. However, she decides to modify her schedule and now spends 16 hours in routine practice instead, while keeping her strength and flexibility training constant at 73.03 hours. How many hours does the ballerina train in total each week after this change?
DeepSeek 67B:
Reasoning: The ballerina now spends 16 + 73.03 = <<16+73.03=89.03>>89.03 hours training per week. ### Answer: 89.03
Expected answer: 89.0300000000000
Correct? Yes
Problem: A train travels at a consistent speed of 39.2 kilometers per hour. If it continues at this speed for 24.71 hours, how many kilometers will the train have traveled?
DeepSeek 67B:
Reasoning: To find the total distance traveled by the train, we need to multiply the speed of the train by the time it traveled. The speed of the train is 39.2 kilometers per hour, and it traveled for 24.71 hours. So, the total distance traveled by the train is 39.2 * 24.71 = <<39.2*24.71=969.212>>969.212 kilometers. ### Answer: 969.212
Expected answer: 968.632000000000
Correct? No
Problem: In a candy shop, there were originally 72.6 pounds of jelly beans. After a day of sales, only 32.69 pounds were left. How much pounds of jelly beans were sold that day?
DeepSeek 67B:
Reasoning: The total amount of jelly beans sold is the difference between the original amount and the amount left after sales. So, the amount of jelly beans sold is 72.6 - 32.69 = 39.91 pounds. ### Answer: 39.91
Expected answer: 39.9100000000000
Correct? Yes
Problem: A cheese factory produces 78.3 kilograms of a certain type of cheese each day. If they continually produce this amount for 58.3 days straight, how many kilograms of cheese would have been produced in total?
DeepSeek 67B:
Reasoning: To find the total amount of cheese produced, we need to multiply the daily production by the number of days. 78.3 kg/day * 58.3 days = 4563.09 kg So, the cheese factory would have produced 4563.09 kilograms of cheese in total. ### Answer: 4563.09
Expected answer: 4564.89000000000
Correct? No
Problem: A car travels a distance of 5.2 miles in the first 10 minutes and then further travels for 26.04 miles. What is the total distance covered by the car?
DeepSeek 67B:
Reasoning: The total distance covered by the car is the sum of the distance covered in the first 10 minutes and the distance covered after that. So, the total distance covered by the car is 5.2 + 26.04 = <<5.2+26.04=31.24>>31.24 miles. ### Answer: 31.24
Expected answer: 31.2400000000000
Correct? Yes
Problem: In addition to the previous journey, the car goes for another 62.24 miles. Now, what is the total distance covered by the car?
DeepSeek 67B:
Reasoning: The total distance covered by the car is the sum of the distance covered in the first 10 minutes, the distance covered after that, and the distance covered in the additional journey. So, the total distance covered by the car is 5.2 + 26.04 + 62.24 = <<5.2+26.04+62.24=93.48>>93.48 miles. ### Answer: 93.48
Expected answer: 93.4800000000000
Correct? Yes
Problem: A farmer harvested 28.9 pounds of tomatoes from his greenhouse. He also harvested 57.0 pounds from his outdoor garden. How many pounds of tomatoes did the farmer harvest in total?
DeepSeek 67B:
Reasoning: The farmer harvested 28.9 + 57.0 = <<28.9+57.0=85.9>>85.9 pounds of tomatoes in total. ### Answer: 85.9
Expected answer: 85.9000000000000
Correct? Yes
Problem: After harvesting tomatoes, the farmer remembered that he had stored 84.31 pounds of tomatoes from the previous week. What is the total weight of the tomatoes he has now, including both his harvest and the stored tomatoes?
DeepSeek 67B:
Reasoning: The total weight of the tomatoes the farmer has now is 85.9 + 84.31 = <<85.9+84.31=169.21>>169.21 pounds. ### Answer: 169.21
Expected answer: 170.210000000000
Correct? No
Problem: Suppose instead of harvesting 57.0 pounds of tomatoes from his outdoor garden, the farmer had harvested 88 pounds. What would be the total weight of tomatoes harvested in this scenario?
DeepSeek 67B:
Reasoning: The farmer would have harvested 28.9 + 88 = <<28.9+88=116.9>>116.9 pounds of tomatoes in total. ### Answer: 116.9
Expected answer: 116.900000000000
Correct? Yes
Problem: A stationery store sells two kinds of pencils. The shorter pencils cost $59.88 for a box and the longer pencils cost $88.65 for a box. How much will it cost in total if I buy one box of each type of pencil?
DeepSeek 67B:
Reasoning: The cost of one box of shorter pencils is $59.88. The cost of one box of longer pencils is $88.65. To find the total cost of buying one box of each type of pencil, we add the cost of the shorter pencils to the cost of the longer pencils. Total cost = $59.88 + $88.65 = $148.53 ### Answer: $148.53
Expected answer: 148.530000000000
Correct? Yes
Problem: If the stationery store launches a special offer, and the total cost of the two boxes of pencils increases by a factor of 16.39 due to including additional items like erasers and sharpeners, how much will the new total cost be?
DeepSeek 67B:
Reasoning: The original total cost of the two boxes of pencils is $148.53. The total cost increases by a factor of 16.39 due to the special offer. To find the new total cost, we multiply the original total cost by the factor of increase. New total cost = $148.53 * 16.39 = $2423.53 ### Answer: $2423.53
Expected answer: 2434.40670000000
Correct? No
Problem: If instead of the shorter pencils cost being $59.88 for a box, it was $10 for a box, keeping the cost of the longer pencils as $88.65 for a box, what will be the new total cost for one box of each type of pencil?
DeepSeek 67B:
Reasoning: The cost of one box of shorter pencils is now $10. The cost of one box of longer pencils is still $88.65. To find the new total cost of buying one box of each type of pencil, we add the cost of the shorter pencils to the cost of the longer pencils. New total cost = $10 + $88.65 = $98.65 ### Answer: $98.65
Expected answer: 98.6500000000000
Correct? Yes
Problem: A large pot of hot chocolate had 75.06 ounces inside. After serving some friends, it now has 46.86 ounces left. How many ounces of hot chocolate was served to friends?
DeepSeek 67B:
Reasoning: To find out how many ounces of hot chocolate was served to friends, we need to subtract the amount left from the original amount. Original amount = 75.06 ounces Amount left = 46.86 ounces Amount served = Original amount - Amount left Amount served = 75.06 - 46.86 Amount served = 28.2 ounces So, 28.2 ounces of hot chocolate was served to friends. ### Answer: 28.2
Expected answer: 28.2000000000000
Correct? Yes
Problem: After serving hot chocolate to friends, the family decided to make enough hot chocolate again, but this time they prepared 74.0 times the amount they had served earlier. How many ounces of hot chocolate did the family make this time?
DeepSeek 67B:
Reasoning: To find out how many ounces of hot chocolate the family made this time, we need to multiply the amount served by 74.0. Amount served = 28.2 ounces Amount made this time = Amount served * 74.0 Amount made this time = 28.2 * 74.0 Amount made this time = 2086.8 ounces So, the family made 2086.8 ounces of hot chocolate this time. ### Answer: 2086.8
Expected answer: 2086.80000000000
Correct? Yes
Problem: A certain toothpaste brand has a promotional pack that weighs 84.0 grams. If the toothpaste tube inside weighs 44.52 grams, what is the weight of the remaining components (packaging, box etc.) in grams?
DeepSeek 67B:
Reasoning: The weight of the toothpaste tube is 44.52 grams. The total weight of the promotional pack is 84.0 grams. To find the weight of the remaining components, we subtract the weight of the toothpaste tube from the total weight of the promotional pack. Weight of remaining components = Total weight of promotional pack - Weight of toothpaste tube Weight of remaining components = 84.0 grams - 44.52 grams Weight of remaining components = 39.48 grams The weight of the remaining components is 39.48 grams. ### Answer: 39.48
Expected answer: 39.4800000000000
Correct? Yes
Problem: Following up to the previous problem, if an extra item is added to the promotional pack, increasing the weight by 2.62 grams, what will be the new total weight of the pack in grams?
DeepSeek 67B:
Reasoning: The extra item added to the promotional pack increases the weight by 2.62 grams. To find the new total weight of the pack, we add the weight of the extra item to the previous total weight of the promotional pack. New total weight of the pack = Previous total weight of the pack + Weight of the extra item New total weight of the pack = 84.0 grams + 2.62 grams New total weight of the pack = 86.62 grams The new total weight of the pack is 86.62 grams. ### Answer: 86.62
Expected answer: 42.1000000000000
Correct? No
Problem: In the same context as the previous problem, let's say that the original weight of the toothpaste tube was actually 76 grams instead of 44.52 grams. What would then be the weight of the remaining components (packaging, box etc.) in the promotional pack?
DeepSeek 67B:
Reasoning: The weight of the toothpaste tube is now 76 grams. The total weight of the promotional pack is still 84.0 grams. To find the weight of the remaining components, we subtract the weight of the toothpaste tube from the total weight of the promotional pack. Weight of remaining components = Total weight of promotional pack - Weight of toothpaste tube Weight of remaining components = 84.0 grams - 76 grams Weight of remaining components = 8 grams The weight of the remaining components is 8 grams. ### Answer: 8
Expected answer: 8.00000000000000
Correct? Yes
Problem: A boat can travel 59.67 miles on 22.1 gallons of fuel. How many miles does the boat travel per gallon of fuel?
DeepSeek 67B:
Reasoning: To find out how many miles the boat travels per gallon of fuel, we need to divide the total number of miles traveled by the total number of gallons of fuel used. So, the boat travels 59.67 miles / 22.1 gallons = <<59.67/22.1=2.7>>2.7 miles per gallon of fuel. ### Answer: 2.7
Expected answer: 2.70000000000000
Correct? Yes
Problem: If the first boat could instead travel 59.67 miles on just 59 gallons of fuel, how many miles would it travel per gallon of fuel under these new conditions?
DeepSeek 67B:
Reasoning: To find out how many miles the boat travels per gallon of fuel under these new conditions, we need to divide the total number of miles traveled by the total number of gallons of fuel used. So, the boat travels 59.67 miles / 59 gallons = <<59.67/59=1>>1 mile per gallon of fuel under these new conditions. ### Answer: 1
Expected answer: 1.01135593220339
Correct? No
Problem: A rocket fuel tank has a total capacity of 389.5 gallons. If the rocket consumes fuel at a rate of 9.5 gallons per minute, for how many minutes can the rocket fly with a full tank?
DeepSeek 67B:
Reasoning: The total capacity of the rocket fuel tank is 389.5 gallons. The rocket consumes fuel at a rate of 9.5 gallons per minute. To find out how many minutes the rocket can fly with a full tank, we need to divide the total capacity of the tank by the rate at which the rocket consumes fuel. Solution: 389.5 gallons / 9.5 gallons per minute = 41 minutes The rocket can fly for 41 minutes with a full tank.
Expected answer: 41.0000000000000
Correct? Yes
Problem: A farmer sells strawberry crates that weigh 70.09 kg each. If the farmer manages to produce 64.72 crates in one season, what will be the total weight in kilograms of the strawberries produced?
DeepSeek 67B:
Reasoning: To find the total weight of the strawberries produced, we need to multiply the weight of one crate by the number of crates produced. Weight of one crate = 70.09 kg Number of crates produced = 64.72 Total weight of strawberries = Weight of one crate * Number of crates produced Total weight of strawberries = 70.09 kg * 64.72 Calculating the total weight: Total weight of strawberries = 4535.928 kg ### Answer: 4535.928
Expected answer: 4536.22480000000
Correct? No
Problem: A snail can crawl 10.2 meters in a day. If the snail attempts to crawl a distance of 55.57 days, how many meters will it have crawled in total?
DeepSeek 67B:
Reasoning: The snail crawls 10.2 meters per day, so in 55.57 days, it will have crawled 10.2*55.57 = <<10.2*55.57=567.594>>567.594 meters. ### Answer: 567.594
Expected answer: 566.814000000000
Correct? No
Problem: A farmer has 26.7 hectares of farmland. Each hectare can yield 93.52 bushels of corn. How many bushels of corn can the farmer expect from his farmland?
DeepSeek 67B:
Reasoning: The farmer has 26.7 hectares of farmland, and each hectare can yield 93.52 bushels of corn. To find the total number of bushels of corn, we multiply the number of hectares by the yield per hectare. 26.7 hectares * 93.52 bushels/hectare = 2487.224 bushels The farmer can expect 2487.224 bushels of corn from his farmland. ### Answer: 2487.224
Expected answer: 2496.98400000000
Correct? No
Problem: A telecommunications company has a monthly data limit of 3855.32 Gigabytes (GB) that needs to be spread amongst 56.2 users, equally. How many GB of data does each user receive?
DeepSeek 67B:
Reasoning: To find out how many GB of data each user receives, we need to divide the total amount of data by the number of users. Total data = 3855.32 GB Number of users = 56.2 Data per user = Total data / Number of users Data per user = 3855.32 GB / 56.2 Calculating the result: Data per user = 68.7 GB Each user receives 68.7 GB of data.
Expected answer: 68.6000000000000
Correct? Yes
Problem: A farmer harvested 441.84 pounds of tomatoes and wants to sell them in 8.4 boxes equally. How many pounds of tomatoes will be in each box?
DeepSeek 67B:
Reasoning: To find out how many pounds of tomatoes will be in each box, we need to divide the total weight of tomatoes by the number of boxes. Total weight of tomatoes = 441.84 pounds Number of boxes = 8.4 Weight of tomatoes in each box = Total weight of tomatoes / Number of boxes Weight of tomatoes in each box = 441.84 / 8.4 Weight of tomatoes in each box = 52.6 pounds So, there will be 52.6 pounds of tomatoes in each box. ### Answer: 52.6
Expected answer: 52.6000000000000
Correct? Yes
Problem: After packing the tomatoes, the farmer realizes each box has to carry an additional 25.8 pounds of tomatoes to meet his sales forecast. How much would each box weigh now?
DeepSeek 67B:
Reasoning: The farmer needs to add 25.8 pounds of tomatoes to each box to meet his sales forecast. Weight of tomatoes in each box after adding 25.8 pounds = Weight of tomatoes in each box + 25.8 pounds Weight of tomatoes in each box after adding 25.8 pounds = 52.6 + 25.8 Weight of tomatoes in each box after adding 25.8 pounds = 78.4 pounds So, each box would weigh 78.4 pounds now. ### Answer: 78.4
Expected answer: 78.4000000000000
Correct? Yes
Problem: The farmer reconsiders his packaging method and decides instead to distribute the initial 441.84 pounds of tomatoes equally among 67 boxes. How many pounds of tomatoes will be in each box now?
DeepSeek 67B:
Reasoning: To find out how many pounds of tomatoes will be in each box, we need to divide the total weight of tomatoes by the number of boxes. Total weight of tomatoes = 441.84 pounds Number of boxes = 67 Weight of tomatoes in each box = Total weight of tomatoes / Number of boxes Weight of tomatoes in each box = 441.84 / 67 Weight of tomatoes in each box = 6.6 pounds So, there will be 6.6 pounds of tomatoes in each box. ### Answer: 6.6
Expected answer: 6.59462686567164
Correct? Yes
Problem: A pair of sunglasses weighs 11.1 grams while a pair of prescription glasses weighs 94.1 grams. How much do they weigh together?
DeepSeek 67B:
Reasoning: The total weight of the sunglasses and prescription glasses is 11.1+94.1 = <<11.1+94.1=105.2>>105.2 grams. ### Answer: 105.2
Expected answer: 105.200000000000
Correct? Yes
Problem: In the previous scenario, let's now consider that the sunglasses actually weigh 9 grams instead of 11.1 grams. How much would the sunglasses and prescription glasses weigh together in this case?
DeepSeek 67B:
Reasoning: The total weight of the sunglasses and prescription glasses is 9+94.1 = <<9+94.1=103.1>>103.1 grams. ### Answer: 103.1
Expected answer: 103.100000000000
Correct? Yes
Problem: A pirate treasure is made up of gold coins each weighing 50.53 grams. If there are 35.42 such coins, what is the total weight of the treasure in grams?
DeepSeek 67B:
Reasoning: The total weight of the treasure is the product of the weight of each coin and the number of coins. So, the total weight of the treasure is 50.53 grams/coin * 35.42 coins = 1785.57 grams. ### Answer: 1785.57
Expected answer: 1789.77260000000
Correct? No
Problem: You have $87.48 in a bank account. If you deposit another $3.0 into this account using your card, how much will your new balance be?
DeepSeek 67B:
Reasoning: If you deposit $3.0 into your account, your new balance will be $87.48 + $3.0 = $90.48. ### Answer: $90.48
Expected answer: 90.4800000000000
Correct? Yes
Problem: Following the previous problem, you then make an additional deposit of $82.9 into your bank account using the same card. How much will your new total balance be?
DeepSeek 67B:
Reasoning: If you deposit $82.9 into your account, your new balance will be $90.48 + $82.9 = $173.38. ### Answer: $173.38
Expected answer: 173.380000000000
Correct? Yes
Problem: Each part of a certain camera model costs $79.61. If there are 6.24 identical parts in each camera, how much do the parts for one camera cost in total?
DeepSeek 67B:
Reasoning: The cost of one part is $79.61. There are 6.24 identical parts in each camera. To find the total cost of the parts for one camera, we need to multiply the cost of one part by the number of parts. Calculation: Total cost of the parts for one camera = $79.61 * 6.24 Using a calculator, we get: Total cost of the parts for one camera = $494.99 So, the parts for one camera cost $494.99 in total. ### Answer: $494.99
Expected answer: 496.766400000000
Correct? No
Problem: A glasses manufacturing company made 6548.4 pairs of glasses and evenly distributed them to 76.5 retail outlets. How many pairs of glasses did each outlet receive?
DeepSeek 67B:
Reasoning: To find out how many pairs of glasses each outlet received, we need to divide the total number of pairs of glasses by the number of outlets. 6548.4 pairs of glasses / 76.5 outlets = 85.6 pairs of glasses per outlet Each outlet received approximately 85.6 pairs of glasses.
Expected answer: 85.6000000000000
Correct? Yes
Problem: The superhero Flash can run at a maximum speed of 78.64 miles per hour. If his current speed is 48.1 miles per hour, by how many miles per hour should he increase his speed to reach his maximum?
DeepSeek 67B:
Reasoning: Flash needs to increase his speed by 78.64 - 48.1 = <<78.64-48.1=30.54>>30.54 miles per hour to reach his maximum speed. ### Answer: 30.54
Expected answer: 30.5400000000000
Correct? Yes
Problem: Following on from the previous question, if every time Flash increases his speed by 1 mile per hour, his power increases by 73.5 units, how much will his power increase if he speeds up to his maximum speed from his current speed?
DeepSeek 67B:
Reasoning: Flash needs to increase his speed by 30.54 miles per hour to reach his maximum speed. If every time Flash increases his speed by 1 mile per hour, his power increases by 73.5 units, then his power will increase by 30.54 * 73.5 = <<30.54*73.5=2250.45>>2250.45 units. ### Answer: 2250.45
Expected answer: 2244.69000000000
Correct? No
Problem: In continuation from the previous problem, consider if Flash's maximum speed was actually only 91 miles per hour instead of 78.64. If his current speed is 48.1 miles per hour, by how many miles per hour should he increase his speed now to reach this new maximum?
DeepSeek 67B:
Reasoning: Flash needs to increase his speed by 91 - 48.1 = <<91-48.1=42.9>>42.9 miles per hour to reach his new maximum speed. ### Answer: 42.9
Expected answer: 42.9000000000000
Correct? Yes
Problem: A skateboard company makes each board by using 54.8 grams of a special material. If they decide to produce 25.56 skateboards, how many grams of the special material will they use in total?
DeepSeek 67B:
Reasoning: To find out how many grams of the special material the skateboard company will use in total, we need to multiply the amount of material used per skateboard by the number of skateboards produced. Let's calculate: 54.8 grams/skateboard * 25.56 skateboards = 1399.968 grams So, the skateboard company will use 1399.968 grams of the special material in total. ### Answer: 1399.968
Expected answer: 1400.68800000000
Correct? No
Problem: A stuffed animal collector total collection weighed 93.55 pounds. After selling off some of their collection, they found that the remaining stuffed animals now weigh 70.4 pounds. How many pounds of stuffed animals did they sell?
DeepSeek 67B:
Reasoning: The collector sold off some of their collection, so the weight of the remaining stuffed animals is less than the original weight. The weight of the remaining stuffed animals is 70.4 pounds. To find out how many pounds of stuffed animals they sold, we need to subtract the weight of the remaining stuffed animals from the original weight. The weight of the stuffed animals they sold is 93.55 - 70.4 = 23.15 pounds. ### Answer: 23.15
Expected answer: 23.1500000000000
Correct? Yes
Problem: In the same stuffed animal collection scenario, the collector sold each pound of stuffed animals for $5.1. If the collector sold a certain number of pounds, how much did they make from selling their stuffed animals?
DeepSeek 67B:
Reasoning: The collector sold a certain number of pounds of stuffed animals for $5.1 per pound. To find out how much they made from selling their stuffed animals, we need to multiply the number of pounds they sold by the price per pound. Let's say the collector sold x pounds of stuffed animals. The amount they made from selling their stuffed animals is 5.1x dollars. ### Answer: 5.1x
Expected answer: 118.065000000000
Correct? No
Problem: In the previous scenario with the stuffed animal collector, suppose initially their collection weighed 93.55 pounds. But instead of selling off stuffed animals until the collection weighed 70.4 pounds, this time, they sold more until their collection weighed only 65 pounds. How many pounds of stuffed animals did they sell now?
DeepSeek 67B:
Reasoning: The collector sold off some of their collection, so the weight of the remaining stuffed animals is less than the original weight. The weight of the remaining stuffed animals is 65 pounds. To find out how many pounds of stuffed animals they sold, we need to subtract the weight of the remaining stuffed animals from the original weight. The weight of the stuffed animals they sold is 93.55 - 65 = 28.55 pounds. ### Answer: 28.55
Expected answer: 28.5500000000000
Correct? Yes
Problem: A fruit shop sells a box of bananas that weighs 39.4 pounds. If the shop has 94.71 such boxes, what is the total weight of all banana boxes in pounds?
DeepSeek 67B:
Reasoning: To find the total weight of all banana boxes, we need to multiply the weight of one box by the number of boxes. Calculations: Total weight = weight of one box * number of boxes Total weight = 39.4 pounds * 94.71 boxes Total weight = 3738.74 pounds ### Answer: 3738.74
Expected answer: 3731.57400000000
Correct? No
Problem: A pair of roller skates is priced at $42.9, and the protective gear costs an additional $23.6. What is the total price for both the roller skates and protective gear?
DeepSeek 67B:
Reasoning: The total price for both the roller skates and protective gear is $42.9 + $23.6 = $<<42.9+23.6=66.5>>66.5. ### Answer: 66.5
Expected answer: 66.5000000000000
Correct? Yes
Problem: The store is offering a $6.4 discount on the total skating pack (roller skates and protective gear combined). What is the new price of the total skating pack after applying the discount?
DeepSeek 67B:
Reasoning: The total price of the skating pack is $66.5, and there is a $6.4 discount. So, the new price of the total skating pack after applying the discount is $66.5 - $6.4 = $<<66.5-6.4=60.1>>60.1. ### Answer: 60.1
Expected answer: 60.1000000000000
Correct? Yes
Problem: Suppose the actual price of the roller skates was $52 instead of $42.9. What would be the total cost for the roller skates and the protective gear?
DeepSeek 67B:
Reasoning: The total cost for the roller skates and the protective gear would be $52 + $23.6 = $<<52+23.6=75.6>>75.6. ### Answer: 75.6
Expected answer: 75.6000000000000
Correct? Yes
Problem: A necklace is made up of two types of beads. The first type weighs 16.2 grams and the second type weighs 44.02 grams. What is the total weight of the two types of beads in the necklace?
DeepSeek 67B:
Reasoning: To find the total weight of the two types of beads in the necklace, we need to add the weight of each type of bead. The first type of bead weighs 16.2 grams and the second type weighs 44.02 grams. So, the total weight of the two types of beads in the necklace is 16.2 + 44.02 = <<16.2+44.02=60.22>>60.22 grams. ### Answer: 60.22
Expected answer: 60.2200000000000
Correct? Yes
Problem: In addition to the two types of beads, the necklace also includes a charm that weighs 43.2 grams. After adding the charm, what is the total weight of the necklace?
DeepSeek 67B:
Reasoning: To find the total weight of the necklace, we need to add the weight of the two types of beads and the charm. The total weight of the two types of beads is 60.22 grams and the charm weighs 43.2 grams. So, the total weight of the necklace is 60.22 + 43.2 = <<60.22+43.2=103.42>>103.42 grams. ### Answer: 103.42
Expected answer: 103.420000000000
Correct? Yes
Problem: The sun was 94.88 million miles away from a planet. After the planet completed half of its orbit around the sun, it was 25.9 million miles closer. How far is the planet from the sun now?
DeepSeek 67B:
Reasoning: The planet was 94.88 million miles away from the sun. After completing half of its orbit, it was 25.9 million miles closer. So, the planet is now 94.88 - 25.9 = 68.98 million miles away from the sun. ### Answer: 68.98
Expected answer: 68.9800000000000
Correct? Yes
Problem: The sun was 94.88 million miles away from a planet. After the planet completed half of its orbit around the sun, it was 25.9 million miles closer. Another planet is 98.79 million miles away from the sun. How much farther is the second planet from the sun compared to the first planet's current position?
DeepSeek 67B:
Reasoning: The first planet is now 68.98 million miles away from the sun. The second planet is 98.79 million miles away from the sun. The difference in distance between the two planets is 98.79 - 68.98 = 29.81 million miles. ### Answer: 29.81
Expected answer: 29.8100000000000
Correct? Yes
Problem: In the previous scenario, the sun was 94.88 million miles away from a planet. But what if, after the planet completed half of its orbit around the sun, it was 32 million miles closer instead of the originally supposed 25.9 million miles? How far would the planet be from the sun then?
DeepSeek 67B:
Reasoning: The planet was 94.88 million miles away from the sun. After completing half of its orbit, it was 32 million miles closer. So, the planet is now 94.88 - 32 = 62.88 million miles away from the sun. ### Answer: 62.88
Expected answer: 62.8800000000000
Correct? Yes
Problem: The snowfall in a town was recorded to be 48.6 inches for one week. However, 45.1 inches of snow melted during the week. How many inches of snow remained by the end of the week?
DeepSeek 67B:
Reasoning: The total snowfall was 48.6 inches, and 45.1 inches of snow melted. The remaining snow is 48.6 - 45.1 = <<48.6-45.1=3.5>>3.5 inches. ### Answer: 3.5
Expected answer: 3.50000000000000
Correct? Yes
Problem: A marshmallow maker made 5.8 kilograms of strawberry marshmallows and 16.13 kilograms of chocolate marshmallows. How many kilograms of marshmallows did the maker make in total?
DeepSeek 67B:
Reasoning: The total weight of marshmallows is the sum of the weight of strawberry marshmallows and the weight of chocolate marshmallows. The total weight of marshmallows is 5.8 + 16.13 = <<5.8+16.13=21.93>>21.93 kilograms. ### Answer: 21.93
Expected answer: 21.9300000000000
Correct? Yes
Problem: In addition to the strawberry and chocolate marshmallows, the same maker also made 23.1 kilograms of vanilla marshmallows. How many kilograms of marshmallows did the maker make in total now?
DeepSeek 67B:
Reasoning: The total weight of marshmallows is the sum of the weight of strawberry marshmallows, chocolate marshmallows, and vanilla marshmallows. The total weight of marshmallows is 5.8 + 16.13 + 23.1 = <<5.8+16.13+23.1=45>>45 kilograms. ### Answer: 45
Expected answer: 45.0300000000000
Correct? Yes
Problem: Suppose that the marshmallow maker actually made 64 kilograms of strawberry marshmallows instead of the initial 5.8. Keeping the chocolate marshmallow weight same, how many kilograms of marshmallows would be made in that case?
DeepSeek 67B:
Reasoning: The total weight of marshmallows is the sum of the weight of strawberry marshmallows and the weight of chocolate marshmallows. The total weight of marshmallows is 64 + 16.13 = <<64+16.13=80.13>>80.13 kilograms. ### Answer: 80.13
Expected answer: 80.1300000000000
Correct? Yes
Problem: A group of 35.3 monkeys collectively consumes 2047.4 pounds of bananas each week. How many pounds of bananas does each monkey consume on average?
DeepSeek 67B:
Reasoning: To find the average amount of bananas consumed by each monkey, we need to divide the total amount of bananas consumed by the number of monkeys. The total amount of bananas consumed is 2047.4 pounds, and there are 35.3 monkeys. So, each monkey consumes 2047.4 / 35.3 = <<2047.4/35.3=58.00000000000001>>58 pounds of bananas on average. ### Answer: 58
Expected answer: 58.0000000000000
Correct? Yes
Problem: After considering a change in the number of monkeys, suppose there were actually 17 monkeys collectively consuming 2047.4 pounds of bananas each week. How many pounds of bananas does each monkey consume on average in this case?
DeepSeek 67B:
Reasoning: To find the average amount of bananas consumed by each monkey, we need to divide the total amount of bananas consumed by the number of monkeys. The total amount of bananas consumed is 2047.4 pounds, and there are 17 monkeys. So, each monkey consumes 2047.4 / 17 = <<2047.4/17=120.43529411764706>>120.43 pounds of bananas on average. ### Answer: 120.43
Expected answer: 120.435294117647
Correct? Yes
Problem: In a kids' sandbox competition, the leading tower was 52.7 inches tall. After a gust of wind, it was only 3.8 inches shorter. How tall was it then?
DeepSeek 67B:
Reasoning: The tower was 52.7 - 3.8 = <<52.7-3.8=48.9>>48.9 inches tall after the gust of wind. ### Answer: 48.9
Expected answer: 48.9000000000000
Correct? Yes
Problem: In addition to the leading tower, another child built a tower that was 78.26 inches tall before the same gust of wind blew. After the wind, his tower remained the same height while the leading one got shorter. What was the total height of these two towers after the gust of wind?
DeepSeek 67B:
Reasoning: The total height of the two towers after the gust of wind is 48.9 + 78.26 = <<48.9+78.26=127.16>>127.16 inches. ### Answer: 127.16
Expected answer: 127.160000000000
Correct? Yes
Problem: Following from the previous scenario, suppose that the initial height of the leading tower was 52 inches instead of 52.7 inches. After the gust of wind, it lost 3.8 inches in height. How tall was the leading tower after the gust?
DeepSeek 67B:
Reasoning: The tower was 52 - 3.8 = <<52-3.8=48.2>>48.2 inches tall after the gust of wind. ### Answer: 48.2
Expected answer: 48.2000000000000
Correct? Yes
Problem: A doctor was monitoring a patient's temperature. At noon, the patient's temperature was 21.0°C. By 8 p.m., the temperature had fallen by 3.08°C. What was the patient's temperature at 8 p.m.?
DeepSeek 67B:
Reasoning: The patient's temperature at 8 p.m. is the temperature at noon minus the decrease in temperature. So, the patient's temperature at 8 p.m. is 21.0°C - 3.08°C = 17.92°C. ### Answer: 17.92
Expected answer: 17.9200000000000
Correct? Yes
Problem: After the doctor had recorded the patient's temperature at 8 p.m., the patient was given some treatment which increased the temperature by 6.06°C. What was the patient's temperature after the treatment?
DeepSeek 67B:
Reasoning: The patient's temperature after the treatment is the temperature at 8 p.m. plus the increase in temperature. So, the patient's temperature after the treatment is 17.92°C + 6.06°C = 24.0°C. ### Answer: 24.0
Expected answer: 23.9800000000000
Correct? No
Problem: In the previous scenario, assume that the patient's original temperature at noon was 34°C instead of 21°C. If the temperature fell by the same amount, 3.08°C, by 8 p.m., what would the patient's temperature be at 8 p.m.?
DeepSeek 67B:
Reasoning: The patient's temperature at 8 p.m. is the temperature at noon minus the decrease in temperature. So, the patient's temperature at 8 p.m. is 34°C - 3.08°C = 30.92°C. ### Answer: 30.92
Expected answer: 30.9200000000000
Correct? Yes
Problem: A zoo has 75.0 monkeys in one enclosure and 72.9 monkeys in another. How many monkeys are there in total at the zoo?
DeepSeek 67B:
Reasoning: To find the total number of monkeys at the zoo, we need to add the number of monkeys in each enclosure. The first enclosure has 75.0 monkeys and the second enclosure has 72.9 monkeys. So, the total number of monkeys at the zoo is 75.0 + 72.9 = <<75+72.9=147.9>>147.9 monkeys. ### Answer: 147.9
Expected answer: 147.900000000000
Correct? Yes
Problem: You found out that there are 75.0 monkeys in one enclosure and 72.9 monkeys in another. However, later in the day, an additional 46.96 monkeys arrive at the zoo. After these monkeys join, how many monkeys are there in total at the zoo?
DeepSeek 67B:
Reasoning: To find the total number of monkeys at the zoo after the additional monkeys arrive, we need to add the number of monkeys in each enclosure and then add the number of additional monkeys. The first enclosure has 75.0 monkeys, the second enclosure has 72.9 monkeys, and 46.96 additional monkeys arrive. So, the total number of monkeys at the zoo is 75.0 + 72.9 + 46.96 = <<75+72.9+46.96=194.86>>194.86 monkeys. ### Answer: 194.86
Expected answer: 194.860000000000
Correct? Yes
Problem: A wind farm generates 3081.8 MWh of energy that is distributed evenly among 38.0 cities. How much energy in MWh does each city receive from the wind farm?
DeepSeek 67B:
Reasoning: To find out how much energy each city receives, we need to divide the total energy generated by the number of cities. Total energy generated = 3081.8 MWh Number of cities = 38.0 Energy per city = Total energy generated / Number of cities Energy per city = 3081.8 MWh / 38.0 Calculating the result: Energy per city = 81 MWh Each city receives 81 MWh of energy from the wind farm.
Expected answer: 81.1000000000000
Correct? No
Problem: At a party, 22.12 people are in the living room and 63.1 people are in the dining room. How many people are at the party in total?
DeepSeek 67B:
Reasoning: To find the total number of people at the party, we need to add the number of people in the living room and the number of people in the dining room. 22.12 + 63.1 = <<22.12+63.1=85.22>>85.22 people are at the party in total. ### Answer: 85.22
Expected answer: 85.2200000000000
Correct? Yes
Problem: A certain book weighs 68.0 grams. If a bookstore wants to stock up 52.01 copies of the same book, how many grams would that amount to?
DeepSeek 67B:
Reasoning: To find the total weight of 52.01 copies of the book, we need to multiply the weight of one book by the number of copies. Weight of one book = 68.0 grams Number of copies = 52.01 Total weight = Weight of one book * Number of copies Total weight = 68.0 grams * 52.01 Calculating the total weight: Total weight = 3536.52 grams So, the total weight of 52.01 copies of the book would be 3536.52 grams.
Expected answer: 3536.68000000000
Correct? No
Problem: A farmer has a particular breed of chicken that each weighs 41.92 kilograms on average. If the farmer has 11.1 chickens of this breed, what is the total weight in kilograms of these chickens?
DeepSeek 67B:
Reasoning: To find the total weight of the chickens, we need to multiply the average weight of one chicken by the number of chickens. Calculations: Total weight = Average weight of one chicken * Number of chickens Total weight = 41.92 kg * 11.1 chickens Total weight = 465.122 kg The total weight of the chickens is 465.122 kilograms.
Expected answer: 465.312000000000
Correct? No
Problem: Princess Olivia has 120.54 meters of royal fabric. She decided to divide it equally to make dresses for her 29.4 favorite dolls. How many meters of fabric will each doll's dress receive?
DeepSeek 67B:
Reasoning: To find out how many meters of fabric each doll's dress will receive, we need to divide the total amount of fabric by the number of dolls. 120.54 meters / 29.4 dolls = 4.09 meters Each doll's dress will receive approximately 4.09 meters of fabric. ### Answer: 4.09
Expected answer: 4.10000000000000
Correct? No
Problem: A certain variety of fish weighs on average 86.7 kilograms. If a fisherman catches 30.4 of these fish, what is the total weight of his catch in kilograms?
DeepSeek 67B:
Reasoning: The fisherman caught 30.4 fish, and each fish weighs 86.7 kilograms. To find the total weight of his catch, we multiply the number of fish by the weight of each fish. The total weight of his catch is 30.4 * 86.7 = <<30.4*86.7=2635.48>>2635.48 kilograms. ### Answer: 2635.48
Expected answer: 2635.68000000000
Correct? No
Problem: A superhero needs to rescue people from two locations. He needs to travel 56.6 miles to reach the first location and an additional 29.15 miles to reach the second location. How many miles does the superhero need to travel in total to reach both locations?
DeepSeek 67B:
Reasoning: The superhero needs to travel 56.6 + 29.15 = <<56.6+29.15=85.75>>85.75 miles in total to reach both locations. ### Answer: 85.75
Expected answer: 85.7500000000000
Correct? Yes
Problem: The previous scenario mentioned that the superhero needs to travel 56.6 miles to reach the first location and then an additional 29.15 miles to reach the second location. However, suppose there is a new scenario where the distance to the second location is increased to 87 miles instead of 29.15 miles while the distance to first location remains the same. How many miles does the superhero need to travel in total to reach both locations in this new scenario?
DeepSeek 67B:
Reasoning: The superhero needs to travel 56.6 + 87 = <<56.6+87=143.6>>143.6 miles in total to reach both locations in this new scenario. ### Answer: 143.6
Expected answer: 143.600000000000
Correct? Yes
Problem: A princess possesses 3054.4 precious gems which she wants to equally distribute amongst her 33.2 loyal knights. How many precious gems does each knight receive?
DeepSeek 67B:
Reasoning: To find out how many precious gems each knight receives, we need to divide the total number of precious gems by the number of knights. Solution: The number of precious gems each knight receives is 3054.4 / 33.2 = 92. So, each knight receives 92 precious gems.
Expected answer: 92.0000000000000
Correct? Yes
Problem: A jeweler uses 27.2 grams of gold to make each ring. If the jeweler plans to make 89.73 rings, how many grams of gold will be needed in total?
DeepSeek 67B:
Reasoning: To find the total amount of gold needed, we need to multiply the amount of gold used per ring by the number of rings. 27.2 grams of gold per ring * 89.73 rings = 2437.956 grams of gold Therefore, the jeweler will need 2437.956 grams of gold in total. ### Answer: 2437.956
Expected answer: 2440.65600000000
Correct? No
Problem: A specific species of shark usually grows 3.2 feet longer each year. If a certain shark of this species has been alive for 89.57 years, how much total length has it gained since it was born?
DeepSeek 67B:
Reasoning: The shark has been alive for 89.57 years, and it grows 3.2 feet longer each year. To find the total length it has gained since it was born, we need to multiply the growth rate per year by the number of years it has been alive. Calculations: Total length gained = Growth rate per year * Number of years Total length gained = 3.2 feet/year * 89.57 years Total length gained = 286.224 feet The shark has gained a total length of 286.224 feet since it was born.
Expected answer: 286.624000000000
Correct? No
Problem: In a playful snowball fight, Jason threw a snowball that went 50.23 meters before hitting the ground. However, it first had to travel past a tree that was 24.6 meters away. How much distance did the snowball cover past the tree before it hit the ground?
DeepSeek 67B:
Reasoning: The snowball traveled a total of 50.23 meters before hitting the ground. It first had to travel past a tree that was 24.6 meters away. To find out how much distance the snowball covered past the tree, we need to subtract the distance to the tree from the total distance. Solution: Total distance = 50.23 meters Distance to the tree = 24.6 meters Distance past the tree = Total distance - Distance to the tree Distance past the tree = 50.23 - 24.6 = 25.63 meters The snowball covered 25.63 meters past the tree before it hit the ground.
Expected answer: 25.6300000000000
Correct? Yes
Problem: A beach ball manufacturer produces 3792.28 beach balls which are distributed equally amongst 45.2 beach stores. How many beach balls does each store receive?
DeepSeek 67B:
Reasoning: To find out how many beach balls each store receives, we need to divide the total number of beach balls by the number of stores. Calculations: 3792.28 beach balls / 45.2 stores = 83.8 beach balls per store Since we can't have a fraction of a beach ball, we need to round the result to the nearest whole number. Answer: Each store receives 84 beach balls.
Expected answer: 83.9000000000000
Correct? No
Problem: A fishing company has caught 1303.12 pounds of fish, which they want to divide equally among 18.2 of their stores. How many pounds of fish will each store receive?
DeepSeek 67B:
Reasoning: To find out how many pounds of fish each store will receive, we need to divide the total weight of fish by the number of stores. First, we need to convert the number of stores to a whole number. Since we can't have a fraction of a store, we'll round 18.2 down to 18. Now, we'll divide the total weight of fish (1303.12 pounds) by the number of stores (18): 1303.12 � 18 = 72.39444444444444 Since we can't have a fraction of a pound of fish, we'll round the result to the nearest whole number. Each store will receive approximately 72 pounds of fish. ### Answer: 72
Expected answer: 71.6000000000000
Correct? No
Problem: A luxurious watch brand has two different models. The first model weighs 68.7 grams, and the second one weighs 49.3 grams. What is the total weight of both watch models in grams?
DeepSeek 67B:
Reasoning: To find the total weight of both watch models, we need to add the weight of the first model to the weight of the second model. The total weight of both watch models is 68.7 + 49.3 = <<68.7+49.3=118>>118 grams. ### Answer: 118
Expected answer: 118.000000000000
Correct? Yes
Problem: Following the previous question: If an artist decides to decorate each gram of both watch models with 75.6 milligrams of gold, how many milligrams of gold will he need in total to decorate all the watches?
DeepSeek 67B:
Reasoning: To find the total amount of gold needed to decorate all the watches, we need to multiply the total weight of the watches by the amount of gold needed per gram. The total weight of the watches is 118 grams. The amount of gold needed per gram is 75.6 milligrams. To convert grams to milligrams, we multiply by 1000. So, the total amount of gold needed is 118 grams * 75.6 milligrams/gram * 1000 milligrams/gram = <<118*75.6*1000=889200>>889,200 milligrams. ### Answer: 889,200
Expected answer: 8920.80000000000
Correct? No
Problem: Following the previous question: If the first watch model actually weighed 68.7 grams and a second, lighter model only weighed 1 gram, what would be the total weight of both watch models in grams?
DeepSeek 67B:
Reasoning: To find the total weight of both watch models, we need to add the weight of the first model to the weight of the second model. The total weight of both watch models is 68.7 + 1 = <<68.7+1=69.7>>69.7 grams. ### Answer: 69.7
Expected answer: 69.7000000000000
Correct? Yes
Problem: A snowman is built with a large base snowball that weighs 42.8 pounds and a smaller top snowball that weighs 6.3 pounds. How much does the snowman weigh in total?
DeepSeek 67B:
Reasoning: The weight of the snowman is the sum of the weight of the large base snowball and the smaller top snowball. The weight of the snowman is 42.8 + 6.3 = <<42.8+6.3=49.1>>49.1 pounds. ### Answer: 49.1
Expected answer: 49.1000000000000
Correct? Yes
Problem: Given the total weight of the previously built snowman, an even larger snowman is to be made that is 91.92 times heavier than the first. How heavy is this new snowman?
DeepSeek 67B:
Reasoning: The weight of the new snowman is 91.92 times the weight of the first snowman. The weight of the new snowman is 91.92 * 49.1 = <<91.92*49.1=4499.264>>4499.264 pounds. ### Answer: 4499.264
Expected answer: 4513.27200000000
Correct? No
Problem: Previously, a snowman was built with a base snowball that weighed 42.8 pounds and a top snowball that weighed 6.3 pounds. Now, consider a scenario where the top snowball is much larger and weighs 51 pounds instead. How much does the snowman weigh in this case?
DeepSeek 67B:
Reasoning: The weight of the snowman is the sum of the weight of the large base snowball and the larger top snowball. The weight of the snowman is 42.8 + 51 = <<42.8+51=93.8>>93.8 pounds. ### Answer: 93.8
Expected answer: 93.8000000000000
Correct? Yes
Problem: A factory produced 24.91 pencils per minute for a consecutive period of 46.98 minutes. How many pencils were produced in total?
DeepSeek 67B:
Reasoning: To find the total number of pencils produced, we need to multiply the number of pencils produced per minute by the number of minutes. 24.91 pencils/minute * 46.98 minutes = <<24.91*46.98=1175.2588>>1175.2588 pencils Answer: 1175.2588 pencils
Expected answer: 1170.27180000000
Correct? No
Problem: A farmer has 26.0 chickens, each laying 22.0 eggs. How many eggs in total do the chickens lay?
DeepSeek 67B:
Reasoning: The total number of eggs laid by the chickens is the product of the number of chickens and the number of eggs each chicken lays. So, the total number of eggs is 26.0 * 22.0 = <<26*22=572>>572 eggs. Answer: 572
Expected answer: 572.000000000000
Correct? Yes
Problem: The farmer decides to sell the eggs in the market. Each egg sells for $10.11. How much money in total does the farmer earn from the sale of the eggs?
DeepSeek 67B:
Reasoning: The total amount of money the farmer earns from the sale of the eggs is the product of the number of eggs and the price per egg. So, the total amount of money is 572 * 10.11 = <<572*10.11=5798.52>>5798.52 dollars. Answer: 5798.52
Expected answer: 5782.92000000000
Correct? No
Problem: In a new scenario, the farmer has 26.0 chickens, but now, each chicken lays 49 eggs instead of 22. How many eggs in total do the chickens lay in this scenario?
DeepSeek 67B:
Reasoning: The total number of eggs laid by the chickens is the product of the number of chickens and the number of eggs each chicken lays. So, the total number of eggs is 26.0 * 49 = <<26*49=1274>>1274 eggs. Answer: 1274
Expected answer: 1274.00000000000
Correct? Yes
Problem: A bus consumes 18.5 liters of fuel per trip. If the bus completes 62.38 trips, how many liters of fuel will it have consumed in total?
DeepSeek 67B:
Reasoning: To find the total amount of fuel consumed, we need to multiply the fuel consumption per trip by the number of trips. Fuel consumption per trip = 18.5 liters Number of trips = 62.38 Total fuel consumption = Fuel consumption per trip * Number of trips Total fuel consumption = 18.5 * 62.38 Calculating the total fuel consumption: Total fuel consumption = 1155.27 liters ### Answer: 1155.27
Expected answer: 1154.03000000000
Correct? No
Problem: A jacket costs $14.97 and a person wants to buy 5.9 jackets. What will be the total cost of the jackets?
DeepSeek 67B:
Reasoning: The total cost of the jackets will be 14.97*5.9 = $<<14.97*5.9=88.323>>88.323. ### Answer: 88.323
Expected answer: 88.3230000000000
Correct? Yes
Problem: Following on from the previous situation: If instead of wanting to buy 5.9 jackets, the person wanted to buy 62 jackets at the original price of $14.97 each, what would be the total cost for these jackets?
DeepSeek 67B:
Reasoning: The total cost of the jackets will be 14.97*62 = $<<14.97*62=934.34>>934.34. ### Answer: 934.34
Expected answer: 928.140000000000
Correct? No
Problem: A bookstore initially has 74.46 books. After selling some of them, only 52.19 books are left. How many books did the bookstore sell?
DeepSeek 67B:
Reasoning: The bookstore initially had 74.46 books. After selling some of them, only 52.19 books are left. To find out how many books the bookstore sold, we need to subtract the number of books left from the initial number of books. Solution: Number of books sold = Initial number of books - Number of books left Number of books sold = 74.46 - 52.19 Number of books sold = 22.27 The bookstore sold 22.27 books.
Expected answer: 22.2700000000000
Correct? Yes
Problem: A chair production company produces 95.0 chairs every day. If each chair uses 20.7 kilograms of wood, how many kilograms of wood does the company use in one day?
DeepSeek 67B:
Reasoning: The company uses 95.0*20.7 = <<95*20.7=2011.5>>2011.5 kilograms of wood in one day. ### Answer: 2011.5
Expected answer: 1966.50000000000
Correct? No
Problem: A jeweler is creating a ring that combines two metals. The first metal weighs 63.2 grams and the second metal weighs 62.95 grams. How much will the ring weigh in grams when both metals are combined?
DeepSeek 67B:
Reasoning: To find the total weight of the ring, we need to add the weight of the first metal to the weight of the second metal. The first metal weighs 63.2 grams and the second metal weighs 62.95 grams. So, the total weight of the ring will be 63.2 + 62.95 = <<63.2+62.95=126.15>>126.15 grams. ### Answer: 126.15
Expected answer: 126.150000000000
Correct? Yes
Problem: After creating the ring that combines two metals weighing 63.2 grams and 62.95 grams respectively, the jeweler decides to remove 41.42 grams of the material for fine-tuning the design. What would be the new weight of the ring in grams after this removal?
DeepSeek 67B:
Reasoning: To find the new weight of the ring after the removal of 41.42 grams, we need to subtract this amount from the total weight of the ring before the removal. The total weight of the ring before the removal was 63.2 + 62.95 = <<63.2+62.95=126.15>>126.15 grams. So, the new weight of the ring after the removal will be 126.15 - 41.42 = <<126.15-41.42=84.73>>84.73 grams. ### Answer: 84.73
Expected answer: 84.7300000000000
Correct? Yes
Problem: In a modified design, the jeweler decides to use a different first metal that weighs 26 grams instead of 63.2 grams but keeps the second metal that weighs 62.95 grams. In this modified design, what will the new total weight of the ring be with the two metals combined?
DeepSeek 67B:
Reasoning: To find the total weight of the ring in the modified design, we need to add the weight of the new first metal to the weight of the second metal. The new first metal weighs 26 grams and the second metal weighs 62.95 grams. So, the total weight of the ring in the modified design will be 26 + 62.95 = <<26+62.95=88.95>>88.95 grams. ### Answer: 88.95
Expected answer: 88.9500000000000
Correct? Yes
Problem: A star is 3480.66 light years away from Earth. If the star's light is seen from 36.6 different sighting points on Earth, what is the average distance in light years of the star from each sighting point?
DeepSeek 67B:
Reasoning: To find the average distance of the star from each sighting point, we need to divide the total distance of the star from Earth by the number of sighting points. The total distance of the star from Earth is 3480.66 light years. The number of sighting points is 36.6. So, the average distance of the star from each sighting point is 3480.66 / 36.6 = 95 light years. ### Answer: 95
Expected answer: 95.1000000000000
Correct? No
Problem: A pizza place sold 84.3 pepperoni pizzas today. They also sold 47.9 more mushroom pizzas. How many pizzas did they sell in total today?
DeepSeek 67B:
Reasoning: The pizza place sold 84.3 + 47.9 = <<84.3+47.9=132.2>>132.2 pizzas in total today. ### Answer: 132.2
Expected answer: 132.200000000000
Correct? Yes
Problem: In addition to the pizzas sold previously, the pizza place also sold 95.5 margherita pizzas today. Altogether, how many pizzas did they sell today?
DeepSeek 67B:
Reasoning: The pizza place sold 132.2 + 95.5 = <<132.2+95.5=227.7>>227.7 pizzas in total today. ### Answer: 227.7
Expected answer: 227.700000000000
Correct? Yes
Problem: A castle has a height of 68.4 meters. If a scale model of this castle is made where 1 meter of the original castle corresponds to 27.69 mm of the model, how many millimeters tall will the model of the castle be?
DeepSeek 67B:
Reasoning: To find the height of the model, we need to multiply the height of the original castle (in meters) by the scale factor (in mm/meter). Scale factor = 27.69 mm/meter Height of original castle = 68.4 meters Height of model = Scale factor * Height of original castle Height of model = 27.69 mm/meter * 68.4 meters Calculating the height of the model: Height of model = 1899.156 mm The model of the castle will be 1899.156 mm tall. ### Answer: 1899.156
Expected answer: 1893.99600000000
Correct? No
Problem: A wizard has a collection of 17.7 magical ingredients. Recently, he found another spot that contained 34.1 magical items. How many magical ingredients does the wizard have in total now?
DeepSeek 67B:
Reasoning: The wizard has 17.7 + 34.1 = <<17.7+34.1=51.8>>51.8 magical ingredients in total now. ### Answer: 51.8
Expected answer: 51.8000000000000
Correct? Yes
Problem: In the previous scenario, what if the wizard initially had only 17.7 magical items and he found a new spot that contained 83 magical items? How many magical items would the wizard have in total then?
DeepSeek 67B:
Reasoning: The wizard has 17.7 + 83 = <<17.7+83=100.7>>100.7 magical items in total now. ### Answer: 100.7
Expected answer: 100.700000000000
Correct? Yes
Problem: A fleet of camping tents has a combined weight of 1448.37 pounds. If there are 69.3 tents in this fleet, how much does each tent weigh in pounds?
DeepSeek 67B:
Reasoning: To find the weight of each tent, we need to divide the total weight of the fleet by the number of tents. Weight of each tent = Total weight of the fleet / Number of tents Weight of each tent = 1448.37 pounds / 69.3 tents Weight of each tent = 20.87 pounds Therefore, each tent weighs approximately 20.87 pounds. ### Answer: 20.87
Expected answer: 20.9000000000000
Correct? No
Problem: A monkey collected 52.7 bananas in the morning and 88.17 bananas in the afternoon. How many bananas did the monkey collect in total?
DeepSeek 67B:
Reasoning: The monkey collected 52.7 + 88.17 = <<52.7+88.17=140.87>>140.87 bananas in total. ### Answer: 140.87
Expected answer: 140.870000000000
Correct? Yes
Problem: Each bubble has a volume of 55.9 cubic centimeters. If a child blows 77.8 such bubbles, what would be the total volume of the bubbles in cubic centimeters?
DeepSeek 67B:
Reasoning: To find the total volume of the bubbles, we need to multiply the volume of one bubble by the number of bubbles. Volume of one bubble = 55.9 cubic centimeters Number of bubbles = 77.8 Total volume of the bubbles = Volume of one bubble * Number of bubbles Total volume of the bubbles = 55.9 * 77.8 Calculating the total volume: Total volume of the bubbles = 4347.82 cubic centimeters ### Answer: 4347.82
Expected answer: 4349.02000000000
Correct? No
Problem: A dinosaur eats 19.45 kilograms of vegetation every hour. If it eats for 48.71 hours straight without stopping, how many kilograms of vegetation will it have consumed in total?
DeepSeek 67B:
Reasoning: To find the total amount of vegetation consumed, we need to multiply the amount eaten per hour by the number of hours it eats. Calculating: Total vegetation consumed = 19.45 kg/hour * 48.71 hours Total vegetation consumed = 942.2955 kg The dinosaur will have consumed 942.2955 kilograms of vegetation in total.
Expected answer: 947.409500000000
Correct? No
Problem: A dragon has hoarded 65.4 kilograms of gold and 28.5 kilograms of gems. How much total weight has the dragon hoarded in kilograms?
DeepSeek 67B:
Reasoning: The dragon has hoarded 65.4+28.5 = <<65.4+28.5=93.9>>93.9 kilograms in total. ### Answer: 93.9
Expected answer: 93.9000000000000
Correct? Yes
Problem: After the dragon has hoarded 65.4 kilograms of gold and 28.5 kilograms of gems, he decides to add some silver to his hoard. If the dragon's total hoard is decreased by 6.74 kilograms after adding the silver, what will be the new total weight of the dragon's hoard?
DeepSeek 67B:
Reasoning: The dragon's total hoard is decreased by 6.74 kilograms after adding the silver, so the new total weight of the dragon's hoard is 65.4+28.5-6.74 = <<65.4+28.5-6.74=90.16>>90.16 kilograms. ### Answer: 90.16
Expected answer: 87.1600000000000
Correct? No
Problem: Each teddy bear in a toy shop weighs 96.8 grams. If there are 93.3 teddy bears in the shop, what is the total weight of the teddy bears in grams?
DeepSeek 67B:
Reasoning: The total weight of the teddy bears is 96.8 grams/teddy bear * 93.3 teddy bears = 9000 grams. ### Answer: 9000
Expected answer: 9031.44000000000
Correct? No
Problem: A UFO is found to travel 2.46 light years every month. How far, in light years, would the UFO have travelled after 3.5 months?
DeepSeek 67B:
Reasoning: The UFO travels 2.46 light years every month. To find out how far it would have traveled after 3.5 months, we need to multiply the distance it travels in one month by the number of months. Calculation: 2.46 light years/month * 3.5 months = 8.61 light years The UFO would have traveled 8.61 light years after 3.5 months.
Expected answer: 8.61000000000000
Correct? Yes
Problem: In a park, there is a rectangular field with an area of 36.82 square meters. If there are 57.5 such fields in the park, what is the total area, in square meters, of all these fields?
DeepSeek 67B:
Reasoning: The total area of all the fields is the product of the area of one field and the number of fields. The area of one field is 36.82 square meters. The number of fields is 57.5. The total area of all the fields is 36.82 * 57.5 = 2115.05 square meters. ### Answer: 2115.05
Expected answer: 2117.15000000000
Correct? No
Problem: A herd of giraffes collectively eats 2571.29 kilograms of leaves each day. If there are 38.9 giraffes in the herd, how many kilograms of leaves does each giraffe eat daily?
DeepSeek 67B:
Reasoning: To find out how many kilograms of leaves each giraffe eats daily, we need to divide the total amount of leaves eaten by the number of giraffes in the herd. Let's perform the division: 2571.29 kilograms / 38.9 giraffes = 66.01 kilograms Each giraffe eats approximately 66.01 kilograms of leaves daily. ### Answer: 66.01
Expected answer: 66.1000000000000
Correct? No
Problem: A unicorn needs 217.35 units of magic energy to teleport to another location. If one rainbow provides 20.7 units of magic energy, how many rainbows will it consume for the unicorn to teleport once?
DeepSeek 67B:
Reasoning: The unicorn needs 217.35/20.7 = <<217.35/20.7=10.47>>10.47 rainbows to teleport once. ### Answer: 10.47
Expected answer: 10.5000000000000
Correct? No