LLemma 34B on 6.NS.B.3
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?
LLemma 34B:
Reasoning: Each tenant contributes $533.89/20.3 = <<533.89/20.3=26.3>>26.3 to the window cleaning cost. ### Answer: 26.3
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?
LLemma 34B:
Reasoning: Each tenant contributes $21/20.3 = <<21/20.3=1.03>>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?
LLemma 34B:
Reasoning: 2218.5/51 = <<2218.5/51=43.65854101265822>>43.65854101265822 kilograms of cucumber each store received. ### Answer: 43.65854101265822
Expected answer: 43.5000000000000
Correct? No
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?
LLemma 34B:
Reasoning: The hat maker will need 70.2*39.2 = <<70.2*39.2=2769.6>>2769.6 grams of wool in total. ### Answer: 2769.6
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?
LLemma 34B:
Reasoning: 18.06*1.93 = <<18.06*1.93=35.0188>>35.0188 pounds of cucumbers. ### Answer: 35.0188
Expected answer: 34.8558000000000
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?
LLemma 34B:
Reasoning: The mouse has run 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?
LLemma 34B:
Reasoning: The mouse has run 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?
LLemma 34B:
Reasoning: The weight of the finished ring is 83.07-3.4 = <<83.07-3.4=80.67>>80.67 grams. ### Answer: 80.67
Expected answer: 79.6700000000000
Correct? No
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?
LLemma 34B:
Reasoning: 70.3*88.8 = <<70.3*88.8=6570.44>>6570.44 tons of carbon dioxide in total can these hectares of oak trees absorb in a year. ### Answer: 6570.44
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?
LLemma 34B:
Reasoning: 81.4-66.05 = <<81.4-66.05=15.35>>15.35 kilograms of cucumbers were sold. ### 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?
LLemma 34B:
Reasoning: 81.4-44 = <<81.4-44=37.4>>37.4 kilograms of cucumbers were left in the storage room after this sale. ### 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?
LLemma 34B:
Reasoning: 60.87*27.5 = <<60.87*27.5=1700.3125>>1700.3125 pounds of artificial snow will be produced. ### Answer: 1700.3125
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?
LLemma 34B:
Reasoning: The dolphin travels 1687.56/29.4 = <<1687.56/29.4=57.4>>57.4 miles each day. ### Answer: 57.4
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?
LLemma 34B:
Reasoning: The dolphin travels 57.4+57.93 = <<57.4+57.93=115.33>>115.33 miles each day. ### Answer: 115.33
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?
LLemma 34B:
Reasoning: The dolphin would have travelled 1687.56/91 = <<1687.56/91=18.5>>18.5 miles each day. ### Answer: 18.5
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?
LLemma 34B:
Reasoning: 65.4-56.3 = <<65.4-56.3=9.1>>9.1 tons are still on the truck. ### 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?
LLemma 34B:
Reasoning: 65.4-56.3+15.0 = <<65.4-56.3+15.0=18.1>>18.1 tons are still on the truck. ### Answer: 18.1
Expected answer: 24.1000000000000
Correct? No
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?
LLemma 34B:
Reasoning: 65.4-22 = <<65.4-22=43.4>>43.4 tons are still on the truck. ### 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?
LLemma 34B:
Reasoning: The farm has 41.98+68.1 = <<41.98+68.1=110.08>>110.08 acres of land dedicated to growing crops in total. ### 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?
LLemma 34B:
Reasoning: The farm has 41.98+68.1 = <<41.98+68.1=110.08>>110.08 acres of land dedicated to growing crops in total. The farm will dedicate 110.08*69.3 = <<110.08*69.3=7839.944>>7839.944 acres to growing crops after this increase. ### Answer: 7839.944
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?
LLemma 34B:
Reasoning: The farm would have 88+68.1 = <<88+68.1=156.1>>156.1 acres of land dedicated to growing crops in total. ### 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?
LLemma 34B:
Reasoning: The jeweler needs 97.79+75.6 = <<97.79+75.6=173.39>>173.39 grams of gold in total to make both the rings. ### Answer: 173.39
Expected answer: 173.390000000000
Correct? Yes
Problem: Suppose the jeweler is able to change the design of the men's ring such that it now only requires 23 grams of gold instead of 97.79 grams. Maintaining the requirement for the women's ring at 75.6 grams, how many grams of gold in total will the jeweler need to make both rings with the new design?
LLemma 34B:
Reasoning: The jeweler now needs 23+75.6 = <<23+75.6=98.6>>98.6 grams of gold in total to make both the rings. ### Answer: 98.6
Expected answer: 98.6000000000000
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?
LLemma 34B:
Reasoning: The manufacturer produced 5098.56/56.4 = <<5098.56/56.4=90>>90 skateboards. ### Answer: 90
Expected answer: 90.4000000000000
Correct? No
Problem: If a drum kit weighs 97.35 pounds and another drum kit weighs 93.19 pounds, what is their combined weight in pounds?
LLemma 34B:
Reasoning: 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?
LLemma 34B:
Reasoning: The combined weight of the drum kits is 97.35+93.19 = <<97.35+93.19=190.54>>190.54 pounds. The new weight is 190.54*37.8 = <<190.54*37.8=7100.92>>7100.92 pounds. ### Answer: 7100.92
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?
LLemma 34B:
Reasoning: 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?
LLemma 34B:
Reasoning: 4723.97/89.3 = <<4723.97/89.3=53.2>>53.2 gallons of water will each tank contain. ### Answer: 53.2
Expected answer: 52.9000000000000
Correct? No
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?
LLemma 34B:
Reasoning: A cat of this breed will consume 53.68*83.54 = <<53.68*83.54=4449.992>>4449.992 grams of cat food in total. ### Answer: 4449.992
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?
LLemma 34B:
Reasoning: The blanket 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?
LLemma 34B:
Reasoning: The blanket weaver has 78.81+89.2 = <<78.81+89.2=168.01>>168.01 yards of wool in total. ### Answer: 168.01
Expected answer: 168.010000000000
Correct? Yes
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?
LLemma 34B:
Reasoning: The car will cover 2.1*47.74 = <<2.1*47.74=100.0084>>100.0084 miles. ### Answer: 100.0084
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?
LLemma 34B:
Reasoning: 12.42+81.62 = <<12.42+81.62=93.84>>93.84 yards of fabric. ### Answer: 93.84
Expected answer: 94.0400000000000
Correct? No
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?
LLemma 34B:
Reasoning: The music producer gets paid $22.78 for every minute of a song. The music producer gets paid $22.78*91.0 = <<22.78*91.0=2060.58>>$2060.58 for the song. ### Answer: $2060.58
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?
LLemma 34B:
Reasoning: The total area covered by these types of trees is 87.0+50.9 = <<87.0+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?
LLemma 34B:
Reasoning: The total area covered by the deciduous and the coniferous trees in the forest is 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?
LLemma 34B:
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?
LLemma 34B:
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?
LLemma 34B:
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?
LLemma 34B:
Reasoning: The total cost of Jenny's purchase is $91.87+$36.74 = <<91.87+36.74=128.61>>$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?
LLemma 34B:
Reasoning: The total cost of Jenny's purchase is $91.87+$36.74+$12.4 = <<91.87+36.74+12.4=130.91>>$130.91. ### Answer: $130.91
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?
LLemma 34B:
Reasoning: Jenny actually spent $91.87-$50 = <<91.87-50=41.87>>$41.87 for her dress. ### Answer: $41.87
Expected answer: 141.870000000000
Correct? No
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?
LLemma 34B:
Reasoning: They used 64.7/64.7 = <<64.7/64.7=1>>1 snowballs to create 64.7 snowballs. There are 3442.04/64.7 = <<3442.04/64.7=53.0>>53.0 cubic inches of snow in each snowball. ### Answer: 53.0
Expected answer: 53.2000000000000
Correct? No
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?
LLemma 34B:
Reasoning: 8578.02/90.2 = <<8578.02/90.2=95.23>>95.23 kilograms of cheese will each supermarket receive. ### Answer: 95.23
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?
LLemma 34B:
Reasoning: There are 47.33 chickens per coop. There are 73.34 coops. There are 73.34*47.33 = <<73.34*47.33=3492.91>>3492.91 chickens in all of the coops combined. ### Answer: 3492.91
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?
LLemma 34B:
Reasoning: The dragon collected 51.76+65.26 = <<51.76+65.26=117.02>>117.02 kg of gold in total. ### 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?
LLemma 34B:
Reasoning: The dragon gave away 98.5 kg of gold. The dragon has 117.02-98.5 = <<117.02-98.5=18.52>>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?
LLemma 34B:
Reasoning: 3.4*16.3 = <<3.4*16.3=56.82>>56.82 grams ### Answer: 56.82
Expected answer: 55.4200000000000
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?
LLemma 34B:
Reasoning: The rainfall increased by 7.97 inches per day. The rainfall increased by 7.97*52.7 = <<7.97*52.7=411.949>>411.949 inches in 52.7 days. ### Answer: 411.949
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?
LLemma 34B:
Reasoning: The ballerina trains 20.77+73.03 = <<20.77+73.03=93.8>>93.8 hours in total 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?
LLemma 34B:
Reasoning: The ballerina trains 20.77+73.03+58.1 = <<20.77+73.03+58.1=151.9>>151.9 hours in total per week now. ### 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?
LLemma 34B:
Reasoning: The ballerina trains 16+73.03 = <<16+73.03=89.03>>89.03 hours in total 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?
LLemma 34B:
Reasoning: The train will travel 39.2*24.71 = <<39.2*24.71=968.172>>968.172 kilometers. ### Answer: 968.172
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?
LLemma 34B:
Reasoning: 72.6-32.69 = <<72.6-32.69=40>>40 pounds of jelly beans were sold that day. ### Answer: 40
Expected answer: 39.9100000000000
Correct? No
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?
LLemma 34B:
Reasoning: 78.3*58.3 = <<78.3*58.3=4492.49>>4492.49 kilograms of cheese would have been produced in total. ### Answer: 4492.49
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?
LLemma 34B:
Reasoning: The car travels 5.2+26.04 = <<5.2+26.04=26.24>>26.24 miles. ### Answer: 26.24
Expected answer: 31.2400000000000
Correct? No
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?
LLemma 34B:
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?
LLemma 34B:
Reasoning: The farmer has 84.31+85.9 = <<84.31+85.9=169.21>>169.21 pounds of tomatoes now. ### 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?
LLemma 34B:
Reasoning: The farmer 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?
LLemma 34B:
Reasoning: The total cost is $59.88+$88.65 = <<59.88+88.65=148.53>>$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?
LLemma 34B:
Reasoning: The new total cost is 16.39*$148.53 = <<16.39*148.53=2399.99>>$2399.99. ### Answer: $2399.99
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?
LLemma 34B:
Reasoning: The total cost is $10+$88.65 = <<10+88.65=98.65>>$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?
LLemma 34B:
Reasoning: 75.06-46.86 = <<75.06-46.86=28.2>>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?
LLemma 34B:
Reasoning: 28.2*74.0 = <<28.2*74.0=2072.8>>2072.8 ounces of hot chocolate did the family make this time. ### Answer: 2072.8
Expected answer: 2086.80000000000
Correct? No
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?
LLemma 34B:
Reasoning: The weight of the remaining components is 84.0 - 44.52 = <<84.0-44.52=39.48>>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?
LLemma 34B:
Reasoning: The new total weight of the pack is 84.0 + 2.62 = <<84.0+2.62=86.62>>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?
LLemma 34B:
Reasoning: The weight of the remaining components is 84.0 - 76.0 = <<84.0-76.0=8.0>>8.0 grams. ### Answer: 8.0
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?
LLemma 34B:
Reasoning: The boat travels 59.67/22.1 = <<59.67/22.1=2.70>>2.70 miles per gallon of fuel. ### Answer: 2.70
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?
LLemma 34B:
Reasoning: The boat travels 59.67/59 = <<59.67/59=1.00>>1.00 miles per gallon of fuel. ### Answer: 1.00
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?
LLemma 34B:
Reasoning: The rocket can fly for 389.5/9.5 = <<389.5/9.5=41>>41 minutes with a full tank. ### Answer: 41
Expected answer: 41.0000000000000
Correct? Yes
Problem: The rocket was already in flight for 3.69 minutes before the full tank of fuel was started to be used. Considering the remaining fuel allows for flight time calculated in the previous problem, how many total minutes can the rocket fly including the time already spent in flight?
LLemma 34B:
Reasoning: The rocket can fly for 41-3.69 = <<41-3.69=37.31>>37.31 minutes with a full tank. The rocket can fly for 3.69+37.31 = <<3.69+37.31=40.99>>40.99 minutes with a full tank including the time already spent in flight. ### Answer: 40.99
Expected answer: 44.6900000000000
Correct? No
Problem: Suppose instead of a full tank, the rocket started with only 37 gallons of fuel in its tank. If the rocket is still consuming fuel at a rate of 9.5 gallons per minute, for how many minutes can the rocket now fly with this amount of fuel?
LLemma 34B:
Reasoning: The rocket can fly for 37/9.5 = <<37/9.5=3.9>>3.9 minutes with 37 gallons of fuel. ### Answer: 3.9
Expected answer: 3.89473684210526
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?
LLemma 34B:
Reasoning: The farmer produces 64.72*70.09 = <<64.72*70.09=4524.9488>>4524.9488 kg of strawberries. ### Answer: 4524.9488
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?
LLemma 34B:
Reasoning: The snail will crawl 10.2*55.57 = <<10.2*55.57=569.14>>569.14 meters in total. ### Answer: 569.14
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?
LLemma 34B:
Reasoning: 26.7*93.52 = <<26.7*93.52=2500.0444>>2500.0444 bushels of corn. ### Answer: 2500.0444
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?
LLemma 34B:
Reasoning: 3855.32/56.2 = <<3855.32/56.2=68.5>>68.5 GB of data is received by each user. ### Answer: 68.5
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?
LLemma 34B:
Reasoning: The farmer will put 441.84/8.4 = <<441.84/8.4=52.0>>52.0 pounds of tomatoes in each box. ### Answer: 52.0
Expected answer: 52.6000000000000
Correct? No
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?
LLemma 34B:
Reasoning: The sunglasses weigh 11.1 grams and the prescription glasses weigh 94.1 grams. The total weight 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?
LLemma 34B:
Reasoning: The sunglasses weigh 9 grams and the prescription glasses weigh 94.1 grams. The total weight 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?
LLemma 34B:
Reasoning: 35.42*50.53 = <<35.42*50.53=1795.9166>>1795.9166 grams. ### Answer: 1795.9166
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?
LLemma 34B:
Reasoning: You will have $87.48+$3.0 = <<87.48+3=90.48>>90.48 in your account. ### 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?
LLemma 34B:
Reasoning: You will have $90.48+$82.9 = <<90.48+82.9=173.38>>173.38 in your account. ### 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?
LLemma 34B:
Reasoning: There are 6.24*79.61 = <<6.24*79.61=504.0044>>504.0044 parts in each camera. The parts for one camera cost in total $504.0044. ### Answer: $504.0044
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?
LLemma 34B:
Reasoning: 6548.4/76.5 = <<6548.4/76.5=85.4>>85.4 pairs of glasses were distributed to each outlet. ### Answer: 85.4
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?
LLemma 34B:
Reasoning: Flash should increase his speed by 78.64-48.1 = <<78.64-48.1=30.54>>30.54 miles per hour to reach his maximum. ### 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?
LLemma 34B:
Reasoning: Flash should increase his speed by 30.54 miles per hour to reach his maximum. If Flash increases his speed by 1 mile per hour, his power increases by 73.5 units. If Flash increases his speed by 30.54 miles per hour, his power increases by 30.54*73.5 = <<30.54*73.5=2299.93>>2299.93 units. ### Answer: 2299.93
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?
LLemma 34B:
Reasoning: Flash should increase his speed by 91-48.1 = <<91-48.1=42.9>>42.9 miles per hour to reach his maximum. ### 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?
LLemma 34B:
Reasoning: The company will use 54.8*25.56 = <<54.8*25.56=1399.128>>1399.128 grams of the special material. ### Answer: 1399.128
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?
LLemma 34B:
Reasoning: The stuffed animals that were sold weighed 93.55-70.4 = <<93.55-70.4=23.15>>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?
LLemma 34B:
Reasoning: The collector made $5.1 times the number of pounds they sold. ### Answer: $5.1 times the number of pounds they sold.
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?
LLemma 34B:
Reasoning: The stuffed animals that were sold weighed 93.55-65 = <<93.55-65=28.55>>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?
LLemma 34B:
Reasoning: 94.71 * 39.4 = <<94.71*39.4=3710.9471>>3710.9471 pounds ### Answer: 3710.9471
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?
LLemma 34B:
Reasoning: The total price 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?
LLemma 34B:
Reasoning: The new price is $66.5-$6.4 = <<66.5-6.4=59.9>>$59.9. ### Answer: $59.9
Expected answer: 60.1000000000000
Correct? No
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?
LLemma 34B:
Reasoning: The total price is $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?
LLemma 34B:
Reasoning: 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?
LLemma 34B:
Reasoning: 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?
LLemma 34B:
Reasoning: The planet is 94.88-25.9 = <<94.88-25.9=68.98>>68.98 million miles away from the sun now. ### 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?
LLemma 34B:
Reasoning: The first planet is 94.88-25.9 = <<94.88-25.9=68.98>>68.98 million miles away from the sun now. The second planet is 98.79-68.98 = <<98.79-68.98=29.81>>29.81 million miles farther from the sun than the first planet. ### 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?
LLemma 34B:
Reasoning: The planet is 94.88-32 = <<94.88-32=62.88>>62.88 million miles away from the sun now. ### 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?
LLemma 34B:
Reasoning: 48.6-45.1 = <<48.6-45.1=3.5>>3.5 inches of snow remained by the end of the week. ### 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?
LLemma 34B:
Reasoning: The maker made 5.8+16.13 = <<5.8+16.13=21.93>>21.93 kilograms of marshmallows in total. ### 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?
LLemma 34B:
Reasoning: The maker made 23.1+21.93 = <<23.1+21.93=45.03>>45.03 kilograms of marshmallows in total now. ### Answer: 45.03
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?
LLemma 34B:
Reasoning: The maker would make 64+16.13 = <<64+16.13=80.13>>80.13 kilograms of marshmallows in that case. ### 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?
LLemma 34B:
Reasoning: Each monkey consumes 2047.4/35.3 = <<2047.4/35.3=57.99999999999999>>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?
LLemma 34B:
Reasoning: Each monkey consumes 2047.4/17 = <<2047.4/17=120.47058823529412>>120.47 pounds of bananas on average. ### Answer: 120.47
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?
LLemma 34B:
Reasoning: The tower was 52.7-3.8 = <<52.7-3.8=48.9>>48.9 inches tall. ### 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?
LLemma 34B:
Reasoning: The leading tower was 52.7-3.8 = <<52.7-3.8=48.9>>48.9 inches tall. The other tower was 78.26-3.8 = <<78.26-3.8=74.46>>74.46 inches tall. The total height of the two towers was 48.9+74.46 = <<48.9+74.46=123.36>>123.36 inches. ### Answer: 123.36
Expected answer: 127.160000000000
Correct? No
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?
LLemma 34B:
Reasoning: The tower was 52-3.8 = <<52-3.8=48.2>>48.2 inches tall. ### 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.?
LLemma 34B:
Reasoning: The patient's temperature at 8 p.m. was 21.0-3.08 = <<21.0-3.08=17.92>>17.92°C. ### Answer: 17.92°C
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?
LLemma 34B:
Reasoning: The patient's temperature after the treatment was 17.92+6.06 = <<17.92+6.06=23.98>>23.98°C. ### Answer: 23.98°C
Expected answer: 23.9800000000000
Correct? Yes
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.?
LLemma 34B:
Reasoning: The patient's temperature at 8 p.m. would be 34-3.08 = <<34-3.08=30.92>>30.92°C. ### Answer: 30.92°C
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?
LLemma 34B:
Reasoning: 75.0+72.9 = <<75.0+72.9=147.9>>147.9 monkeys are there in total at the zoo. ### 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?
LLemma 34B:
Reasoning: 75.0+72.9+46.96 = <<75.0+72.9+46.96=194.86>>194.86 monkeys are there in total at the zoo. ### 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?
LLemma 34B:
Reasoning: 3081.8/38.0 = <<3081.8/38.0=81.6>>81.6 MWh ### Answer: 81.6
Expected answer: 81.1000000000000
Correct? Yes
Problem: Following up on the energy distribution, if each of the cities decided to double their energy received from the wind farm, how much energy in MWh would each city receive now?
LLemma 34B:
Reasoning: 81.6*2 = <<81.6*2=163.2>>163.2 MWh ### Answer: 163.2
Expected answer: 162.200000000000
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?
LLemma 34B:
Reasoning: 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?
LLemma 34B:
Reasoning: 68.0*52.01 = <<68.0*52.01=3584.18>>3584.18 grams. ### Answer: 3584.18
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?
LLemma 34B:
Reasoning: The total weight of the chickens is 41.92*11.1 = <<41.92*11.1=465.322>>465.322 kilograms. ### Answer: 465.322
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?
LLemma 34B:
Reasoning: Princess Olivia will give 120.54/29.4 = <<120.54/29.4=4.1>>4.1 meters of fabric to each doll. ### Answer: 4.1
Expected answer: 4.10000000000000
Correct? Yes
Problem: Princess Olivia realized that she had another batch of fabric, but this time it was only 74 meters long. If she still wants to divide this batch equally for the dresses of her 29.4 dolls, how many meters of fabric will each doll's dress receive now?
LLemma 34B:
Reasoning: Princess Olivia will give 74/29.4 = <<74/29.4=2.5>>2.5 meters of fabric to each doll. ### Answer: 2.5
Expected answer: 2.51700680272109
Correct? Yes
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?
LLemma 34B:
Reasoning: The total weight of the catch is 30.4*86.7 = <<30.4*86.7=2692.28>>2692.28 kilograms. ### Answer: 2692.28
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?
LLemma 34B:
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?
LLemma 34B:
Reasoning: The superhero needs to travel 56.6+87 = <<56.6+87=143.6>>143.6 miles in total to reach both locations. ### 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?
LLemma 34B:
Reasoning: The princess will give each knight 3054.4/33.2 = <<3054.4/33.2=92.0>>92.0 precious gems. ### Answer: 92.0
Expected answer: 92.0000000000000
Correct? Yes
Problem: Suppose the princess made another mistake and actually had to distribute the same total number of 3054.4 precious gems amongst not 33.2, but 76 knights instead. How many precious gems does each knight now receive?
LLemma 34B:
Reasoning: The princess will give each knight 3054.4/76 = <<3054.4/76=40.4>>40.4 precious gems. ### Answer: 40.4
Expected answer: 40.1894736842105
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?
LLemma 34B:
Reasoning: The jeweler will need 27.2*89.73 = <<27.2*89.73=2450.04>>2450.04 grams of gold in total. ### Answer: 2450.04
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?
LLemma 34B:
Reasoning: The shark has grown 3.2*89.57 = <<3.2*89.57=289.144>>289.144 feet since it was born. ### Answer: 289.144
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?
LLemma 34B:
Reasoning: The snowball covered 50.23-24.6 = <<50.23-24.6=25.63>>25.63 meters past the tree before it hit the ground. ### Answer: 25.63
Expected answer: 25.6300000000000
Correct? Yes
Problem: After hitting the ground, the snowball rolled an additional 4.4 meters. What was the total distance that the snowball travelled from Jason's hand to its final stopping point?
LLemma 34B:
Reasoning: The snowball travelled 25.63+4.4 = <<25.63+4.4=29.83>>29.83 meters from Jason's hand to its final stopping point. ### Answer: 29.83
Expected answer: 30.0300000000000
Correct? No
Problem: Jason decided to have another snowball fight but this time the snowball went 78 meters before hitting the ground, still having to travel past the same tree that was 24.6 meters away. How much distance did the snowball cover past the tree before it hit the ground this time?
LLemma 34B:
Reasoning: The snowball covered 78-24.6 = <<78-24.6=53.4>>53.4 meters past the tree before it hit the ground. ### Answer: 53.4
Expected answer: 53.4000000000000
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?
LLemma 34B:
Reasoning: 3792.28/45.2 = <<3792.28/45.2=83.9>>83.9 beach balls are distributed to each store. ### Answer: 83.9
Expected answer: 83.9000000000000
Correct? Yes
Problem: If each of the beach stores received an additional shipment of beach balls equal to the amount they originally received, how many beach balls does each store now have in total?
LLemma 34B:
Reasoning: 83.9+83.9 = <<83.9+83.9=167.8>>167.8 beach balls are distributed to each store. ### Answer: 167.8
Expected answer: 167.800000000000
Correct? Yes
Problem: If the beach ball manufacturer had initially produced 3792.28 beach balls which were distributed equally amongst 48 beach stores instead of 45.2, how many beach balls would each store have received originally?
LLemma 34B:
Reasoning: 3792.28/48 = <<3792.28/48=78.78>>78.78 beach balls are distributed to each store. ### Answer: 78.78
Expected answer: 79.0058333333333
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?
LLemma 34B:
Reasoning: 1303.12/18.2 = <<1303.12/18.2=71.5>>71.5 pounds of fish will each store receive. ### Answer: 71.5
Expected answer: 71.6000000000000
Correct? Yes
Problem: Following the last question, suppose the fishing company initially caught 35 pounds of fish instead of 1303.12 pounds and it still had to be divided equally among 18.2 stores. How many pounds of fish will each store receive now?
LLemma 34B:
Reasoning: 35/18.2 = <<35/18.2=1.92>>1.92 pounds of fish will each store receive now. ### Answer: 1.92
Expected answer: 1.92307692307692
Correct? Yes
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?
LLemma 34B:
Reasoning: 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?
LLemma 34B:
Reasoning: The total weight of both watch models is 118 grams. The artist needs 118*75.6 = <<118*75.6=8964.8>>8964.8 milligrams of gold to decorate all the watches. ### Answer: 8964.8
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?
LLemma 34B:
Reasoning: 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?
LLemma 34B:
Reasoning: The snowman weighs 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?
LLemma 34B:
Reasoning: The new snowman weighs 49.1*91.92 = <<49.1*91.92=4539.12>>4539.12 pounds. ### Answer: 4539.12
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?
LLemma 34B:
Reasoning: The snowman weighs 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?
LLemma 34B:
Reasoning: The factory produced 24.91*46.98 = <<24.91*46.98=1189.9988>>1189.9988 pencils in total. ### Answer: 1189.9988
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?
LLemma 34B:
Reasoning: The farmer has 26.0 chickens, each laying 22.0 eggs. The farmer has 26.0*22.0 = <<26.0*22.0=572.0>>572.0 eggs in total. ### Answer: 572.0
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?
LLemma 34B:
Reasoning: The farmer earns $10.11 for each egg. The farmer earns $10.11*572.0 = <<10.11*572.0=5803.22>>$5803.22 in total. ### Answer: 5803.22
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?
LLemma 34B:
Reasoning: The farmer has 26.0 chickens, each laying 49 eggs. The farmer has 26.0*49 = <<26.0*49=1284.0>>1284.0 eggs in total. ### Answer: 1284.0
Expected answer: 1274.00000000000
Correct? No
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?
LLemma 34B:
Reasoning: The bus consumes 18.5 liters of fuel per trip. The bus will have consumed 18.5*62.38 = <<18.5*62.38=1160.95>>1160.95 liters of fuel in total. ### Answer: 1160.95
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?
LLemma 34B:
Reasoning: 5.9*14.97 = <<5.9*14.97=84.6433>>84.6433 ### Answer: 84.6433
Expected answer: 88.3230000000000
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?
LLemma 34B:
Reasoning: The bookstore sold 74.46-52.19 = <<74.46-52.19=22.27>>22.27 books. ### Answer: 22.27
Expected answer: 22.2700000000000
Correct? Yes
Problem: Given the same situation, suppose initially the bookstore actually had 74.46 books and they sold some books to a point where their stock was reduced to 57 books. How many books did the bookstore sell in this case?
LLemma 34B:
Reasoning: The bookstore sold 74.46-57 = <<74.46-57=17.46>>17.46 books. ### Answer: 17.46
Expected answer: 17.4600000000000
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?
LLemma 34B:
Reasoning: The company uses 95.0*20.7 = <<95.0*20.7=1999.5>>1999.5 kilograms of wood in one day. ### Answer: 1999.5
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?
LLemma 34B:
Reasoning: The ring will weigh 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?
LLemma 34B:
Reasoning: The ring will weigh 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?
LLemma 34B:
Reasoning: The new total weight of the ring 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?
LLemma 34B:
Reasoning: The star is 3480.66/36.6 = <<3480.66/36.6=95.2>>95.2 light years away from each sighting point. ### Answer: 95.2
Expected answer: 95.1000000000000
Correct? Yes
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?
LLemma 34B:
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?
LLemma 34B:
Reasoning: The pizza place sold 132.2+95.5 = <<132.2+95.5=227.7>>227.7 pizzas altogether 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?
LLemma 34B:
Reasoning: 68.4 meters = <<68.4*27.69=1899.936>>1899.936 mm. ### Answer: 1899.936
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?
LLemma 34B:
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?
LLemma 34B:
Reasoning: The wizard has 17.7+83 = <<17.7+83=100.7>>100.7 magical items in total. ### 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?
LLemma 34B:
Reasoning: 1448.37/69.3 = <<1448.37/69.3=20.8>>20.8 pounds. Each tent weighs 20.8 pounds. ### Answer: 20.8
Expected answer: 20.9000000000000
Correct? Yes
Problem: Following up on the previous question, the standard weight for this type of tent is set at 85.4 pounds. After working out the actual weight of each tent, how much do the tents differ from the standard weight?
LLemma 34B:
Reasoning: 20.8-85.4 = <<20.8-85.4=-64.6>>-64.6 pounds. The tents differ from the standard weight by -64.6 pounds. ### Answer: -64.6
Expected answer: 64.5000000000000
Correct? Yes
Problem: Following up on the previous question, what if there were actually 45 tents in the fleet instead of 69.3? With the same total weight of 1448.37 pounds, how much would each tent weigh then?
LLemma 34B:
Reasoning: 1448.37/45 = <<1448.37/45=32.2>>32.2 pounds. Each tent weighs 32.2 pounds. ### Answer: 32.2
Expected answer: 32.1860000000000
Correct? Yes
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?
LLemma 34B:
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?
LLemma 34B:
Reasoning: 77.8*55.9 = <<77.8*55.9=4339.12>>4339.12 ### Answer: 4339.12
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?
LLemma 34B:
Reasoning: The dinosaur will consume 19.45*48.71 = <<19.45*48.71=939.9955>>939.9955 kilograms of vegetation. ### Answer: 939.9955
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?
LLemma 34B:
Reasoning: The dragon has hoarded 65.4+28.5 = <<65.4+28.5=93.9>>93.9 kilograms of gold and gems. ### 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?
LLemma 34B:
Reasoning: The dragon's total hoard is decreased by 6.74 kilograms. The new total weight of the dragon's hoard is 93.9-6.74 = <<93.9-6.74=87.16>>87.16 kilograms. ### Answer: 87.16
Expected answer: 87.1600000000000
Correct? Yes
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?
LLemma 34B:
Reasoning: 93.3 × 96.8 = <<93.3*96.8=9049.44>>9049.44 grams ### Answer: 9049.44
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?
LLemma 34B:
Reasoning: The UFO travels 2.46 light years every month. The UFO travels 2.46*3.5 = <<2.46*3.5=8.61>>8.61 light years in 3.5 months. ### Answer: 8.61
Expected answer: 8.61000000000000
Correct? Yes
Problem: Following from the previous scenario, after travelling 2.46 light years every month for 3.5 months, the UFO then continued travelling for an additional 33.17 light years. How far did the UFO travel in total?
LLemma 34B:
Reasoning: The UFO travelled 2.46*3.5 = <<2.46*3.5=8.61>>8.61 light years in 3.5 months. The UFO travelled 33.17 light years in total. ### Answer: 41.78
Expected answer: 41.7800000000000
Correct? Yes
Problem: In the previous situation, the UFO was assumed to travel 2.46 light years every month for 3.5 months. Now assume that the UFO has instead been traveling at that speed for 68 months. How far in light years would the UFO have traveled this time?
LLemma 34B:
Reasoning: The UFO travels 2.46 light years every month. The UFO travels 2.46*68 = <<2.46*68=168.48>>168.48 light years in 68 months. ### Answer: 168.48
Expected answer: 167.280000000000
Correct? No
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?
LLemma 34B:
Reasoning: The area of one field is 36.82 square meters. The total area of all the fields is 36.82*57.5 = <<36.82*57.5=2130.55>>2130.55 square meters. ### Answer: 2130.55
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?
LLemma 34B:
Reasoning: 2571.29/38.9 = <<2571.29/38.9=66.5>>66.5 kilograms of leaves does each giraffe eat daily. ### Answer: 66.5
Expected answer: 66.1000000000000
Correct? Yes
Problem: Following on from the previous problem, suppose the number of giraffes in the herd were halved to 19 instead of 38.9. Assuming the same total amount of leaf consumption as before (2571.29 kilograms), how many kilograms of leaves would each giraffe in this smaller herd consume daily?
LLemma 34B:
Reasoning: 2571.29/19 = <<2571.29/19=135.32631578947368>>135.32631578947368 kilograms of leaves would each giraffe in this smaller herd consume daily. ### Answer: 135.32631578947368
Expected answer: 135.331052631579
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?
LLemma 34B:
Reasoning: The unicorn will consume 217.35/20.7 = <<217.35/20.7=10.5>>10.5 rainbows. ### Answer: 10.5
Expected answer: 10.5000000000000
Correct? Yes
Problem: In the previous problem, a unicorn needed 217.35 units of magic energy to teleport to another location and then recover. But what if a smaller, younger unicorn only needs 83 units of magic energy to teleport? How many rainbows would this younger unicorn consume for just the teleportation part?
LLemma 34B:
Reasoning: The younger unicorn would consume 83/20.7 = <<83/20.7=4.02>>4.02 rainbows. ### Answer: 4.02
Expected answer: 4.00966183574879
Correct? Yes