LLemma 7B on 6.NS.B.2
Common Core Standard 6.NS.B.2
This standard covers the following:
Fluently divide multi-digit numbers using the standard algorithm.
Problem: There are 73841 cubic centimeters of air needed to inflate a large beach ball. If we fill the ball up at a rate of 41 cubic centimeters per second, how many seconds will it take to fully inflate the beach ball?
LLemma 7B:
Reasoning: 73841/41 = <<73841/41=1800>>1800 seconds It will take 1800 seconds to fully inflate the beach ball. ### Answer: 1800
Expected answer: 1801
Correct? No
Problem: A juice company produced 73528 liters of juice. If they filled the same amount of juice into 707 containers, how many liters of juice are there in each container?
LLemma 7B:
Reasoning: 73528/707 = <<73528/707=104>>104 liters of juice in each container. ### Answer: 104
Expected answer: 104
Correct? Yes
Problem: In the previous problem, the juice company produced 73528 liters of juice filled into 707 containers. Now consider instead that the juice company produced a new batch of fresh juice, a total of 2858 liters. If the new batch was also filled the same way into 707 containers, how many liters of juice are now in each container?
LLemma 7B:
Reasoning: 2858/707 = <<2858/707=4>>4 liters of juice in each container. ### Answer: 4
Expected answer: 2858/707
Correct? No
Problem: A pants factory produced a total of 87780 pants and equally distributed them to 110 wholesale clothing stores. How many pants did each store receive?
LLemma 7B:
Reasoning: 87780/110 = <<87780/110=807.8>>807.8 pants Each store received 807.8 pants. ### Answer: 807.8
Expected answer: 798
Correct? No
Problem: Farmer Bob has grown 71820 carrots this season and wants to sell them in bundles. If he makes each bundle consist of 684 carrots, how many bundles of carrots will he have?
LLemma 7B:
Reasoning: 71820/684 = <<71820/684=102>>102 bundles of carrots. ### Answer: 102
Expected answer: 105
Correct? No
Problem: A popular slide has been used 85860 times over 54 consecutive days. If the usage rate is constant, how many times per day has the slide been used?
LLemma 7B:
Reasoning: The slide has been used 85860 times over 54 days. The slide has been used 85860/54 = <<85860/54=1580>>1580 times per day. ### Answer: 1580
Expected answer: 1590
Correct? No
Problem: A ski resort receives a total of 31950 inches of snowfall evenly spread throughout 225 days of winter. How many inches of snow does the ski resort receive each day?
LLemma 7B:
Reasoning: 31950/225 = <<31950/225=142.6>>142.6 inches of snowfall per day. ### Answer: 142.6
Expected answer: 142
Correct? No
Problem: A jewelry manufacturer has 63802 grams of gold, and they want to make rings each of which will weigh exactly the same. If they plan to make 38 rings, how many grams of gold will be in each ring?
LLemma 7B:
Reasoning: 63802/38 = <<63802/38=1680>>1680 grams of gold in each ring. ### Answer: 1680
Expected answer: 1679
Correct? No
Problem: A goldsmith has a total of 60544 milligrams of gold. If each ring the goldsmith makes requires exactly 5504 milligrams of gold, how many full rings can the goldsmith make?
LLemma 7B:
Reasoning: 60544/5504 = <<60544/5504=10.9>>10.9 The goldsmith can make 10 full rings. ### Answer: 10
Expected answer: 11
Correct? No
Problem: In a zoo, there are 10489 animals, and they are evenly distributed in 617 cages. What is the average number of animals in each cage?
LLemma 7B:
Reasoning: 10489/617 = <<10489/617=16.9>>16.9 ### Answer: 16.9
Expected answer: 17
Correct? No
Problem: A farmer has 21652 grams of carrots, and he wants to evenly distribute them into 5413 bags. How many grams of carrots will be in each bag?
LLemma 7B:
Reasoning: 21652/5413 = <<21652/5413=4>>4 grams of carrots in each bag. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: The farmer had initially thought he had 21652 grams of carrots. However, upon recounting, he realizes he actually has 5652 grams of carrots. If he still wants to distribute the carrots evenly into 5413 bags, how many grams of carrots will now be in each bag?
LLemma 7B:
Reasoning: 5652/5413 = <<5652/5413=1>>1 gram of carrots in each bag. ### Answer: 1
Expected answer: 5652/5413
Correct? No
Problem: An astronaut's spaceship travels a total distance of 38745 miles on its space mission. The journey is divided into 5 equal stages. How many miles does the spaceship travel in each stage?
LLemma 7B:
Reasoning: 38745/5 = <<38745/5=7749>>7749 miles in each stage. ### Answer: 7749
Expected answer: 7749
Correct? Yes
Problem: In the previous space mission scenario, if instead, the spaceship had to divide its total travel distance of 38745 miles into 3113 equal stages, how many miles would it now have to travel in each stage?
LLemma 7B:
Reasoning: 38745/3113 = <<38745/3113=12.5>>12.5 miles in each stage. ### Answer: 12.5
Expected answer: 38745/3113
Correct? No
Problem: A factory needs to distribute 84,564 liters of water evenly into 261 bottles. If each bottle gets the same amount of water, how many liters does each bottle contain?
LLemma 7B:
Reasoning: 84,564/261 = <<84564/261=32>>32 liters. Each bottle contains 32 liters of water. ### Answer: 32
Expected answer: 324
Correct? No
Problem: A massive book series contains a total of 13467 pages, divided equally among 201 volumes. How many pages would you find in each volume?
LLemma 7B:
Reasoning: 13467/201 = <<13467/201=67.27>>67.27 pages in each volume. ### Answer: 67.27
Expected answer: 67
Correct? No
Problem: A fireplace uses 56888 BTU (British Thermal Units) of energy in 2188 hours when it is working continuously. How many BTU of energy does the fireplace use per hour?
LLemma 7B:
Reasoning: 56888/2188 = <<56888/2188=26>>26 BTU of energy does the fireplace use per hour. ### Answer: 26
Expected answer: 26
Correct? Yes
Problem: If instead of 2188 hours, the fireplace was working continuously for 3809 hours with the same total energy consumption of 56888 BTU, how many BTU of energy would the fireplace use per hour then?
LLemma 7B:
Reasoning: 56888/3809 = <<56888/3809=15>>15 BTU of energy would the fireplace use per hour then. ### Answer: 15
Expected answer: 4376/293
Correct? No
Problem: Across the span of 82 days in winter, a town recorded a total snowfall of 36900 inches. If the snow fell at a constant rate every day, how many inches of snow did the town receive each day?
LLemma 7B:
Reasoning: 36900/82 = <<36900/82=450>>450 inches of snow per day. ### Answer: 450
Expected answer: 450
Correct? Yes
Problem: In the same town, in another winter period, the total snowfall recorded was 36900 inches as well but this time across 7138 days. If the snow fell at a constant rate every day, how many inches of snow did the town receive each day during this period?
LLemma 7B:
Reasoning: 36900/7138 = <<36900/7138=5.21>>5.21 inches of snow per day. ### Answer: 5.21
Expected answer: 18450/3569
Correct? No
Problem: A wildlife reserve spans an area of 71292 square kilometers and is home to 2742 giraffes. If each giraffe has an equal amount of space, how many square kilometers does each giraffe get?
LLemma 7B:
Reasoning: 2742/71292 = <<2742/71292=0.0038>>0.0038 square kilometers per giraffe. Each giraffe gets 0.0038 square kilometers. ### Answer: 0.0038
Expected answer: 26
Correct? No
Problem: A lion conservation project has successfully protected 96187 lions over a span of 13 years. If the project saved the same number of lions each year, how many lions were saved per year on average?
LLemma 7B:
Reasoning: 96187/13 = <<96187/13=7409>>7409 lions were saved per year on average. ### Answer: 7409
Expected answer: 7399
Correct? No
Problem: A mermaid has found a total of 32812 pearls on the ocean floor and wants to divide them evenly among her 631 mermaid friends. How many pearls will each friend receive?
LLemma 7B:
Reasoning: 32812/631 = <<32812/631=52>>52 pearls will each friend receive. ### Answer: 52
Expected answer: 52
Correct? Yes
Problem: The mermaid realized that she had miscalculated and there are actually only 4198 mermaid friends, not 631. If she divides the 32812 pearls evenly among her 4198 friends now, how many pearls will each friend receive?
LLemma 7B:
Reasoning: 32812/4198 = <<32812/4198=7.8>>7.8 pearls will each friend receive. ### Answer: 7.8
Expected answer: 16406/2099
Correct? No
Problem: A farm produces a total of 36,784 apples during the 19 weeks of its growing season. If the amount of harvested apples is the same each week, how many apples does the farm produce weekly?
LLemma 7B:
Reasoning: 36,784/19 = <<36784/19=1944>>1944 apples per week. ### Answer: 1944
Expected answer: 1936
Correct? No
Problem: A train travels 63245 miles over a period of 695 days. If the train travels the same distance each day, how many miles does it cover in a day?
LLemma 7B:
Reasoning: 63245/695 = <<63245/695=9>>9 miles ### Answer: 9
Expected answer: 91
Correct? No
Problem: A doll factory produced a total of 41772 dolls over a period of 708 days. If the factory kept up with the same daily production rate, how many dolls were being made in a day?
LLemma 7B:
Reasoning: 41772/708 = <<41772/708=58.5>>58.5 The factory made 58.5 dolls in a day. ### Answer: 58.5
Expected answer: 59
Correct? No
Problem: A drummer has a goal to hit his drum 61019 times. If he plans to do this over the course of 7 days, how many times will he need to hit the drum each day to meet his goal?
LLemma 7B:
Reasoning: 61019/7 = <<61019/7=8777.1428571429>>8777.1428571429 He will need to hit the drum 8777 times each day to meet his goal. ### Answer: 8777
Expected answer: 8717
Correct? No
Problem: In a particular marine park, a dolphin can swim an average of 98816 meters in 128 hours. How many meters can the dolphin swim in an hour?
LLemma 7B:
Reasoning: 98816/128 = <<98816/128=761>>761 meters in an hour. ### Answer: 761
Expected answer: 772
Correct? No
Problem: A song was streamed 71532 times in the first 1987 days after its release. How many streams did it average per day?
LLemma 7B:
Reasoning: 71532/1987 = <<71532/1987=36>>36 streams per day. ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: The same song was streamed 4862 times in the first 1987 days on a less popular platform. How many streams did it average per day on this platform?
LLemma 7B:
Reasoning: 4862/1987 = <<4862/1987=24>>24 streams per day. ### Answer: 24
Expected answer: 4862/1987
Correct? No
Problem: A compass salesman has 33046 compasses that he wants to distribute evenly among 1066 stores. How many compasses will each store receive if they are divided equally?
LLemma 7B:
Reasoning: 33046/1066 = <<33046/1066=31>>31 Each store will receive 31 compasses. ### Answer: 31
Expected answer: 31
Correct? Yes
Problem: Suppose the compass salesman later realizes he made a mistake and that he actually has to distribute the 33046 compasses equally among 6456 stores, not 1066. How many compasses will each store receive now, if they are divided equally?
LLemma 7B:
Reasoning: 33046/6456 = <<33046/6456=5>>5 Each store will receive 5 compasses. ### Answer: 5
Expected answer: 16523/3228
Correct? No
Problem: In a large farm, a total of 49822 carrots are harvested from 58 similar plots. If each plot yielded the same number of carrots, how many carrots did each plot yield?
LLemma 7B:
Reasoning: 49822/58 = <<49822/58=849>>849 carrots per plot. ### Answer: 849
Expected answer: 859
Correct? No
Problem: There is a cloud which covers 8744 square meters of the sky and exactly the same area is revealed when the cloud dispels. If the revealed area is divided equally over the original area, what is the ratio of the revealed area to the original area?
LLemma 7B:
Reasoning: The ratio of the revealed area to the original area is 1/8744. ### Answer: 1/8744
Expected answer: 1
Correct? Yes
Problem: A scooter travels a total distance of 97506 meters on a full charge. If the battery life of the scooter is 18 hours on a full charge, how many meters does the scooter travel per hour?
LLemma 7B:
Reasoning: 97506/18 = <<97506/18=5390.33333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
Expected answer: 5417
Correct? No
Problem: A star emits a total of 94548 units of light energy over a period of 7879 hours. If the star emits a constant amount of light energy every hour, how much light energy does it emit every hour?
LLemma 7B:
Reasoning: 94548/7879 = <<94548/7879=12>>12 units of light energy every hour. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: If instead, the star emitted a total of 94548 units of light energy over a shorter period of 3349 hours, still at a constant rate, how much light energy would it emit every hour now?
LLemma 7B:
Reasoning: 94548/3349 = <<94548/3349=28>>28 units of light energy every hour. ### Answer: 28
Expected answer: 94548/3349
Correct? No
Problem: A forest contains a total of 80752 trees and it is split evenly into 412 sections. How many trees are there in each section?
LLemma 7B:
Reasoning: 80752/412 = <<80752/412=198>>198 trees are there in each section. ### Answer: 198
Expected answer: 196
Correct? No
Problem: A farm harvested 44280 cucumbers over 216 days. If they harvested an equal amount of cucumbers each day, how many cucumbers were harvested each day?
LLemma 7B:
Reasoning: 44280/216 = <<44280/216=200>>200 cucumbers were harvested each day. ### Answer: 200
Expected answer: 205
Correct? No
Problem: A cookie factory produced a total of 77545 cookies that were evenly divided into 1193 packages. How many cookies are there in each package?
LLemma 7B:
Reasoning: 77545/1193 = <<77545/1193=65>>65 cookies in each package. ### Answer: 65
Expected answer: 65
Correct? Yes
Problem: Considering the same scenario where the cookie factory is producing cookies, imagine now they increased their packaging capabilities and packaged the same 77545 cookies into 1834 packages instead of 1193. How many cookies are there in each package now?
LLemma 7B:
Reasoning: 77545/1834 = <<77545/1834=42>>42 cookies in each package. ### Answer: 42
Expected answer: 77545/1834
Correct? No
Problem: A star emits 51750 units of light energy every 125 seconds. How much light energy does the star emit every second?
LLemma 7B:
Reasoning: 51750/125 = <<51750/125=412>>412 units of light energy every second. ### Answer: 412
Expected answer: 414
Correct? No
Problem: A candy factory produced 25144 candies evenly over 56 days. How many candies did the factory make each day?
LLemma 7B:
Reasoning: 25144/56 = <<25144/56=441>>441 candies each day. ### Answer: 441
Expected answer: 449
Correct? No
Problem: A party needs 34240 slices of bread for sandwiches. If each loaf of bread contains 10 slices, how many loaves of bread are needed for the party?
LLemma 7B:
Reasoning: 34240/10 = <<34240/10=3424>>3424 loaves of bread are needed for the party. ### Answer: 3424
Expected answer: 3424
Correct? Yes
Problem: If instead the party needed 7638 slices of bread for sandwiches, still considering that each loaf of bread contains 10 slices, how many loaves of bread would then be needed for the party?
LLemma 7B:
Reasoning: 7638/10 = <<7638/10=763.8>>763.8 loaves of bread would then be needed for the party. ### Answer: 763.8
Expected answer: 3819/5
Correct? Yes
Problem: A forest ranger has noticed that over 119 days, 20111 trees have sprouted throughout the forest. If each day has the same number of new trees sprouting, how many new trees sprout each day?
LLemma 7B:
Reasoning: 20111/119 = <<20111/119=171>>171 new trees sprouted each day. ### Answer: 171
Expected answer: 169
Correct? No
Problem: A dog food factory distributed 91,104 cans of dog food uniformly over 52 weeks. How many cans of dog food did they distribute per week?
LLemma 7B:
Reasoning: 91,104/52 = <<91104/52=1762.8181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181
Expected answer: 1752
Correct? No
Problem: A blanket manufacturing company has 19944 yards of fabric. They use the same amount of fabric to produce each blanket, and from this total amount of fabric, they can make 18 blankets. How many yards of fabric is used for each blanket?
LLemma 7B:
Reasoning: 19944/18 = <<19944/18=1168>>1168 yards of fabric is used for each blanket. ### Answer: 1168
Expected answer: 1108
Correct? No
Problem: A farmer has harvested a total of 45764 potatoes from his 2692 plants. On average, how many potatoes does each plant produce?
LLemma 7B:
Reasoning: 45764/2692 = <<45764/2692=17>>17 potatoes per plant. ### Answer: 17
Expected answer: 17
Correct? Yes
Problem: Following up on the previous scenario, the farmer discovered that he actually harvested a total of 7664 potatoes, not 45764. With the same number of plants (2692), what would be the new average of potatoes each plant produces?
LLemma 7B:
Reasoning: 7664/2692 = <<7664/2692=2.8>>2.8 potatoes per plant. ### Answer: 2.8
Expected answer: 1916/673
Correct? No
Problem: A marshmallow factory produced 85560 marshmallows in 713 hours. If the factory produces the same amount every hour, how many marshmallows are made each hour?
LLemma 7B:
Reasoning: 85560/713 = <<85560/713=120>>120 marshmallows are made each hour. ### Answer: 120
Expected answer: 120
Correct? Yes
Problem: In the same marshmallow factory, another batch of marshmallows was made over a longer production period. This time, 85560 marshmallows were produced in 7544 hours. If the factory produces the same amount each hour during this period, how many marshmallalls were made each hour now?
LLemma 7B:
Reasoning: 85560/7544 = <<85560/7544=11>>11 marshmallows are made each hour. ### Answer: 11
Expected answer: 465/41
Correct? No
Problem: On a farm, there is a total area of 49,928 square meters to plant crops. If this area is divided into uniform plots of 6,241 square meters each, how many plots are there on the farm?
LLemma 7B:
Reasoning: 49,928/6,241 = <<49,928/6,241=8>>8 There are 8 plots on the farm. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: Instead of subdividing the total area of 49,928 square meters into plots of 6,241 square meters each, the farmer decides to subdivide it into smaller plots, each measuring 23 square meters. How many plots are there on the farm now?
LLemma 7B:
Reasoning: 49,928/23 = <<49,928/23=2128>>2128 There are 2128 plots on the farm now. ### Answer: 2128
Expected answer: 49928/23
Correct? No
Problem: A baker used 62118 grams of flour to make cookies over the course of 2142 days. How many grams of flour were used to make cookies each day?
LLemma 7B:
Reasoning: 62118/2142 = <<62118/2142=2.9>>2.9 grams of flour were used to make cookies each day. ### Answer: 2.9
Expected answer: 29
Correct? No
Problem: A shoemaker has 91100 centimeters of shoelaces and he distributes them equally in 3644 pairs of shoes. How many centimeters of shoelace does each pair get?
LLemma 7B:
Reasoning: 91100/3644 = <<91100/3644=25>>25 centimeters of shoelace for each pair. ### Answer: 25
Expected answer: 25
Correct? Yes
Problem: If the shoemaker only had 9498 pairs of shoes but the same amount of shoelace (91100 centimeters), how many centimeters of shoelace would each pair get then?
LLemma 7B:
Reasoning: 91100/9498 = <<91100/9498=9.5>>9.5 centimeters of shoelace for each pair. ### Answer: 9.5
Expected answer: 45550/4749
Correct? No
Problem: A farmer harvests 505 bushels of apples and equally distributes them into 5 bins. How many bushels of apples does each bin contain?
LLemma 7B:
Reasoning: 505/5 = <<505/5=101>>101 bushels of apples does each bin contain. ### Answer: 101
Expected answer: 101
Correct? Yes
Problem: The farmer has now harvested a bigger lot of 7798 bushels of apples and once again distributes them equally into 5 bins. Now, how many bushels of apples does each bin contain?
LLemma 7B:
Reasoning: 7798/5 = <<7798/5=1559.6>>1559.6 bushels of apples does each bin contain. ### Answer: 1559.6
Expected answer: 7798/5
Correct? Yes
Problem: At a party, there were a total of 65325 confetti pieces and they were equally spread across 5025 square feet of area. How many confetti pieces were there per square foot?
LLemma 7B:
Reasoning: 65325/5025 = <<65325/5025=13>>13 confetti pieces per square foot. ### Answer: 13
Expected answer: 13
Correct? Yes
Problem: What if instead, the total confetti pieces at the party were spread across 9944 square feet of area instead of 5025? How many confetti pieces would be there per square foot in that case?
LLemma 7B:
Reasoning: 65325/9944 = <<65325/9944=6.6>>6.6 confetti pieces per square foot. ### Answer: 6.6
Expected answer: 65325/9944
Correct? No
Problem: A crayon factory produced 26691 crayons which are evenly distributed into 123 boxes. How many crayons are there in each box?
LLemma 7B:
Reasoning: 26691/123 = <<26691/123=213>>213 crayons are there in each box. ### Answer: 213
Expected answer: 217
Correct? No
Problem: A firefighter unit extinguished a total of 45843 fires over the course of 413 weeks. If the firefighter unit extinguished the same number of fires each week, how many fires did they extinguish per week?
LLemma 7B:
Reasoning: 45843/413 = <<45843/413=111>>111 fires per week. ### Answer: 111
Expected answer: 111
Correct? Yes
Problem: Following the previous scenario of the firefighter unit, suppose the total number of fires they actually extinguished over the period was 45843, but the time frame was 4913 weeks instead of 413 weeks. If they extinguished the same number of fires each week, how many fires did they extinguish per week now?
LLemma 7B:
Reasoning: 45843/4913 = <<45843/4913=9.5>>9.5 fires per week. ### Answer: 9.5
Expected answer: 45843/4913
Correct? No
Problem: A park is 57546 square meters large and is divided into 9591 identical sections. What is the area of each section in square meters?
LLemma 7B:
Reasoning: 57546/9591 = <<57546/9591=6>>6 square meters ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: After re-evaluating the park layout, the park authority has decided to divide the 57546 square meter park into 131 identical sections instead of 9591. What is the area of each section in square meters now?
LLemma 7B:
Reasoning: 57546/131 = <<57546/131=43>>43 square meters ### Answer: 43
Expected answer: 57546/131
Correct? No
Problem: A toothpaste company produced 93822 tubes of toothpaste using 4938 boxes of raw materials. If each box of raw materials can produce the same amount of toothpaste tubes, how many toothpaste tubes are generated from one box of raw materials?
LLemma 7B:
Reasoning: 93822/4938 = <<93822/4938=18>>18 toothpaste tubes are generated from one box of raw materials. ### Answer: 18
Expected answer: 19
Correct? No
Problem: A park's Jungle gym is used by a total of 40740 children over the span of 84 days. If the Jungle gym is used by the same number of kids each day, how many children use the Jungle gym each day?
LLemma 7B:
Reasoning: 40740/84 = <<40740/84=48.75>>48.75 children use the Jungle gym each day. ### Answer: 48.75
Expected answer: 485
Correct? No
Problem: A snowman competition uses 39482 cc (cubic centimeters) of snow to make 38 identical snowmen. How many cubic centimeters of snow are used for each snowman?
LLemma 7B:
Reasoning: 39482/38 = <<39482/38=1040>>1040 cc (cubic centimeters) of snow are used for each snowman. ### Answer: 1040
Expected answer: 1039
Correct? No
Problem: A large window spanning 67673 square inches is being divided into 1147 equally sized smaller squares. Find the area in square inches of each of these smaller squares.
LLemma 7B:
Reasoning: 67673/1147 = <<67673/1147=60>>60 Each of the smaller squares has an area of 60 square inches. ### Answer: 60
Expected answer: 59
Correct? No
Problem: A farmer has a large field of orange trees. In total, the trees produce 49,920 oranges. If the oranges are evenly distributed among the 195 trees, how many oranges does each tree produce?
LLemma 7B:
Reasoning: 49,920/195 = <<49,920/195=250>>250 oranges per tree. Each tree produces 250 oranges. ### Answer: 250
Expected answer: 256
Correct? No
Problem: A consumption study found that 34160 children had a sandwich for lunch out of the total 4270 schools in the country. If every school has an equal number of children, how many children in each school had a sandwich for lunch?
LLemma 7B:
Reasoning: 4270/34160 = <<4270/34160=0.123>>0.123 0.123 * 4270 = <<0.123*4270=53.91>>53.91 53.91 children had a sandwich for lunch. ### Answer: 53.91
Expected answer: 8
Correct? No
Problem: A toothpaste tube contains 3366 grams of paste and each brushing uses an average of 306 grams. How many times can you brush your teeth with this tube of toothpaste?
LLemma 7B:
Reasoning: 3366/306 = <<3366/306=11>>11 You can brush your teeth 11 times with this tube of toothpaste. ### Answer: 11
Expected answer: 11
Correct? Yes
Problem: Consider the previous toothpaste problem, but this time, the toothpaste tube contains 9060 grams of paste. How many times can you now brush your teeth with this tube of toothpaste if each brushing still uses an average of 306 grams?
LLemma 7B:
Reasoning: 9060/306 = <<9060/306=30>>30 You can brush your teeth 30 times with this tube of toothpaste. ### Answer: 30
Expected answer: 1510/51
Correct? No
Problem: A textile factory produces 49742 towels, evenly distributed among 1309 boxes. How many towels are in each box?
LLemma 7B:
Reasoning: 49742/1309 = <<49742/1309=37>>37 towels in each box. ### Answer: 37
Expected answer: 38
Correct? No
Problem: An alien civilization sends 43134 messages over a period of 3318 Earth days. If they send exactly the same number of messages each day, how many messages do they send per day?
LLemma 7B:
Reasoning: 43134/3318 = <<43134/3318=13>>13 messages per day. ### Answer: 13
Expected answer: 13
Correct? Yes
Problem: Instead of 3318 Earth days, consider that the alien civilization uses a different form of time measurement, where each of their "days" represents 8212 of our Earth days. In this scenario, if they were still sending 43134 messages throughout this period, how many messages would they be sending per their "day"?
LLemma 7B:
Reasoning: 43134/8212 = <<43134/8212=53>>53 messages per day. ### Answer: 53
Expected answer: 21567/4106
Correct? No
Problem: A school district has 80,011 students who are equally distributed across 31 school buses. How many students are there per bus?
LLemma 7B:
Reasoning: 80,011/31 = <<80011/31=2621>>2621 students are there per bus. ### Answer: 2621
Expected answer: 2581
Correct? No
Problem: A camera store sold 54020 cameras over a period of 730 days. If they sell the same number of cameras each day, how many cameras are sold daily?
LLemma 7B:
Reasoning: 54020/730 = <<54020/730=74.6>>74.6 74.6 cameras are sold daily. ### Answer: 74.6
Expected answer: 74
Correct? No
Problem: An ice cream factory makes 25774 liters of ice cream that were packed into 526 containers evenly. How many liters of ice cream does each container accommodate?
LLemma 7B:
Reasoning: 25774/526 = <<25774/526=48>>48 liters of ice cream in each container. ### Answer: 48
Expected answer: 49
Correct? No
Problem: A city's public transportation system logs a total of 85300 miles driven among its fleet of 3412 buses in a week. Assuming each bus travels the same distance, how many miles does each bus drive in a week?
LLemma 7B:
Reasoning: 85300/3412 = <<85300/3412=25.25>>25.25 miles per bus. Each bus drives 25.25 miles in a week. ### Answer: 25.25
Expected answer: 25
Correct? No
Problem: A wind turbine generates a total of 92250 kilowatts of energy over 75 hours. How much energy does it produce per hour?
LLemma 7B:
Reasoning: 92250/75 = <<92250/75=1200>>1200 kilowatts per hour. ### Answer: 1200
Expected answer: 1230
Correct? No
Problem: A baby gained a total of 3734 grams over a span of 1867 days. How many grams did the baby gain daily on average?
LLemma 7B:
Reasoning: 3734/1867 = <<3734/1867=2>>2 The baby gained 2 grams daily on average. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: Suppose the baby's weight gain was recalculated over a span of 1651 days. If the total weight gain was still 3734 grams, what would be the average daily weight gain now?
LLemma 7B:
Reasoning: 3734/1651 = <<3734/1651=2.2>>2.2 The average daily weight gain is 2.2 grams. ### Answer: 2.2
Expected answer: 3734/1651
Correct? No
Problem: A firefighter uses a hose that releases 33,532 liters of water. If the hose releases the same amount of water each minute for 8,383 minutes, how many liters of water are released per minute?
LLemma 7B:
Reasoning: 33,532/8,383 = <<33532/8383=4>>4 liters of water are released per minute. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: If the firefighter instead uses a different hose that releases the same total amount of water, 33,532 liters, but this time it's over 7,845 minutes, how many liters of water are released per minute with this hose?
LLemma 7B:
Reasoning: 33,532/7,845 = <<33532/7845=4>>4 liters of water are released per minute. ### Answer: 4
Expected answer: 33532/7845
Correct? No
Problem: A farmer collects eggs from her chickens. She collects a total of 96,120 eggs evenly from 20 chickens. How many eggs does each chicken contribute?
LLemma 7B:
Reasoning: 96,120/20 = <<96120/20=4806>>4806 eggs. Each chicken contributes 4806 eggs. ### Answer: 4806
Expected answer: 4806
Correct? Yes
Problem: The farmer realizes that she miscalculated and she actually collected a total of 96,120 eggs but it was from 9,046 chickens, not 20. How many eggs did each chicken actually contribute?
LLemma 7B:
Reasoning: 96,120/9,046 = <<96120/9046=10.5>>10.5 eggs. Each chicken actually contributed 10.5 eggs. ### Answer: 10.5
Expected answer: 48060/4523
Correct? No
Problem: A town receives 11458 millimeters of rain over 17 days. How much rain does the town receive each day if it rains the same amount every day?
LLemma 7B:
Reasoning: 11458/17 = <<11458/17=665>>665 millimeters of rain each day. ### Answer: 665
Expected answer: 674
Correct? No
Problem: A pen factory produced 2526 pens in 842 hours. If they produced pens at an equal pace all the time, how many pens were produced every hour?
LLemma 7B:
Reasoning: 2526/842 = <<2526/842=3>>3 pens every hour. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: If the pen factory had instead produced 2526 pens in 547 hours under the same even-paced conditions, how many pens would have been produced each hour?
LLemma 7B:
Reasoning: 2526/547 = <<2526/547=4.6>>4.6 pens every hour. ### Answer: 4.6
Expected answer: 2526/547
Correct? No
Problem: A school decided to equally distribute 285 erasers among 19 classrooms. How many erasers does each classroom get?
LLemma 7B:
Reasoning: 285/19 = <<285/19=15>>15 erasers. Each classroom gets 15 erasers. ### Answer: 15
Expected answer: 15
Correct? Yes
Problem: Initially a school decided to equally distribute 285 erasers among 19 classrooms. But later, the school received a donation and the total number of erasers increased to 4681. If these erasers are equally distributed among the same 19 classrooms, how many erasers does each classroom get now?
LLemma 7B:
Reasoning: 4681/19 = <<4681/19=249>>249 erasers. Each classroom gets 249 erasers. ### Answer: 249
Expected answer: 4681/19
Correct? No
Problem: A penguin slides down a glacier at a constant speed and covers a distance of 41020 feet in 5 hours. What is the penguin's speed in feet per hour?
LLemma 7B:
Reasoning: The penguin's speed is the distance divided by the time. The penguin's speed is 41020/5 = <<41020/5=8204>>8204 feet per hour. ### Answer: 8204
Expected answer: 8204
Correct? Yes
Problem: In the last problem, the penguin covered a distance of 41020 feet in 5 hours. Now, consider a situation where the penguin only covered a distance of 4325 feet in the same 5 hours. What would be the penguin's speed in feet per hour in this new scenario?
LLemma 7B:
Reasoning: The penguin's speed is the distance divided by the time. The penguin's speed is 4325/5 = <<4325/5=865>>865 feet per hour. ### Answer: 865
Expected answer: 865
Correct? Yes
Problem: A water company has a reservoir that can hold 63360 gallons of water. If the reservoir is divided into 576 equal sections, how many gallons of water does each section hold?
LLemma 7B:
Reasoning: 63360/576 = <<63360/576=108>>108 gallons of water does each section hold. ### Answer: 108
Expected answer: 110
Correct? No
Problem: A fashion company made a total of 21868 skirts distributed equally among 77 stores. How many skirts did each store get?
LLemma 7B:
Reasoning: 21868/77 = <<21868/77=288>>288 skirts Each store got 288 skirts. ### Answer: 288
Expected answer: 284
Correct? No
Problem: A TV channel broadcasts a total of 56109 minutes of advertisements over a 59-day period. On average, how many minutes of advertisements are shown each day?
LLemma 7B:
Reasoning: 56109/59 = <<56109/59=952.5>>952.5 minutes of advertisements are shown each day. ### Answer: 952.5
Expected answer: 951
Correct? No
Problem: A teacher marks a total of 59748 marks distributed evenly over 1149 exam papers. How many marks are in each exam paper?
LLemma 7B:
Reasoning: 59748/1149 = <<59748/1149=52>>52 marks are in each exam paper. ### Answer: 52
Expected answer: 52
Correct? Yes
Problem: If the teacher, instead of marking 59748 marks, marked a total of 7117 marks distributed evenly over the same 1149 exam papers, how many marks would be in each exam paper now?
LLemma 7B:
Reasoning: 7117/1149 = <<7117/1149=6>>6 marks are in each exam paper now. ### Answer: 6
Expected answer: 7117/1149
Correct? No
Problem: A reservoir holds 44840 liters of water. If this water is equally distributed across 76 houses in a village, how many liters of water will each house get?
LLemma 7B:
Reasoning: 44840/76 = <<44840/76=580>>580 liters of water will each house get. ### Answer: 580
Expected answer: 590
Correct? No
Problem: A butterfly during its lifetime lay 5385 eggs, and she spread these eggs evenly across 359 flowers. How many eggs did she lay on each flower?
LLemma 7B:
Reasoning: 5385/359 = <<5385/359=15>>15 eggs on each flower. ### Answer: 15
Expected answer: 15
Correct? Yes
Problem: Suppose the butterfly had instead spread a total of 9710 eggs across the same 359 flowers. How many eggs did she lay on each flower in this case?
LLemma 7B:
Reasoning: 9710/359 = <<9710/359=27>>27 eggs on each flower. ### Answer: 27
Expected answer: 9710/359
Correct? No
Problem: A camera has a total of 95038 pixels divided evenly into 61 rows. How many pixels are there in each row?
LLemma 7B:
Reasoning: 95038/61 = <<95038/61=1551>>1551 pixels in each row. ### Answer: 1551
Expected answer: 1558
Correct? No
Problem: An ice cream factory produces a total of 45580 cones of ice cream over a period of 53 days. If the ice cream cones are produced uniformly across these days, how many ice cream cones are made each day?
LLemma 7B:
Reasoning: 45580/53 = <<45580/53=868>>868 ice cream cones are made each day. ### Answer: 868
Expected answer: 860
Correct? No
Problem: A textile factory produces 36135 square inches of towel fabric that is divided evenly among 219 towels. How many square inches of fabric is each towel?
LLemma 7B:
Reasoning: 36135/219 = <<36135/219=16>>16 square inches of fabric is each towel. ### Answer: 16
Expected answer: 165
Correct? No
Problem: A fireplace burns 36300 kilojoules of energy in 4 hours. How much energy does it burn in one hour?
LLemma 7B:
Reasoning: 36300/4 = <<36300/4=9075>>9075 kilojoules in 1 hour. ### Answer: 9075
Expected answer: 9075
Correct? Yes
Problem: In another scenario, a different fireplace burns 8712 kilojoules of energy in 4 hours. Assuming it also burns energy at a constant rate, how much energy does this fireplace burn in one hour?
LLemma 7B:
Reasoning: 8712/4 = <<8712/4=2178>>2178 kilojoules in 1 hour. ### Answer: 2178
Expected answer: 2178
Correct? Yes
Problem: A snowman-making competition has 9 teams, each of them was provided an equal amount of snow weighing up to 51156 kilograms in total. How much snow, in kilograms, did each team get to make their snowman?
LLemma 7B:
Reasoning: 9 teams × <<9 teams=9>> × 51156 = <<9×51156=459844>>459844 kilograms of snow. 459844 ÷ 9 = <<459844÷9=51156>>51156 kilograms of snow. ### Answer: 51156
Expected answer: 5684
Correct? No
Problem: An apple orchard yielded a total of 56250 apples. Over the course of 30 days, they managed to harvest the same number of apples every day. How many apples were harvested each day?
LLemma 7B:
Reasoning: 56250/30 = <<56250/30=1875>>1875 apples were harvested each day. ### Answer: 1875
Expected answer: 1875
Correct? Yes
Problem: Instead of the original 30 days, the workers actually took 3028 days to harvest a total of 56250 apples, harvesting the same number of apples every day. In light of this new information, how many apples were actually harvested each day?
LLemma 7B:
Reasoning: 56250/3028 = <<56250/3028=181.11>>181.11 apples were harvested each day. ### Answer: 181.11
Expected answer: 28125/1514
Correct? No
Problem: A baby spoke her first word after 82992 seconds of being awake in her life. If one day is considered 1729 seconds, after how many days did she speak her first word?
LLemma 7B:
Reasoning: 82992/1729 = <<82992/1729=48>>48 days. She spoke her first word after 48 days. ### Answer: 48
Expected answer: 48
Correct? Yes
Problem: Considering the baby from the previous problem, suppose now that she spoke her first word after being awake for a shorter time of 8741 seconds. Keeping our day duration constant at 1729 seconds, after how many days in this scenario did she speak her first word?
LLemma 7B:
Reasoning: 8741/1729 = <<8741/1729=51>>51 days. She spoke her first word after 51 days. ### Answer: 51
Expected answer: 8741/1729
Correct? No
Problem: A map has a scale of 91368 centimeters representing 216 kilometers. How many centimeters on the map represent 1 kilometer in real life?
LLemma 7B:
Reasoning: 216/91368 = <<216/91368=0.0237>>0.0237 kilometers represent 1 centimeter in real life. ### Answer: 0.0237
Expected answer: 423
Correct? No
Problem: A fashion designer plans to use 33536 beads to embellish a dress uniformly across 131 different sections. How many beads will be used for each section?
LLemma 7B:
Reasoning: 33536/131 = <<33536/131=256>>256 beads will be used for each section. ### Answer: 256
Expected answer: 256
Correct? Yes
Problem: Now, imagine that the fashion designer decides to use the same total number of 33536 beads, but wants to distribute them uniformly over a larger number of sections. If they decides to spread these beads over 3206 different sections on the dress, how many beads will there be in each section?
LLemma 7B:
Reasoning: 33536/3206 = <<33536/3206=10.7>>10.7 beads will be used for each section. ### Answer: 10.7
Expected answer: 16768/1603
Correct? No
Problem: A firefighter sprays 69966 gallons of water on a fire in 299 minutes. If the firefighter sprays the same amount of water every minute, how many gallons does he spray each minute?
LLemma 7B:
Reasoning: 69966/299 = <<69966/299=23>>23 gallons the firefighter sprays each minute. ### Answer: 23
Expected answer: 234
Correct? No
Problem: The latest model of window that a company has designed will require 6354 square inches of glass material. The manufacturer's current stock can cover 2118 same-sized windows. How many square inches of glass are required for a single window?
LLemma 7B:
Reasoning: 2118/6354 = <<2118/6354=0.33>>0.33 square inches of glass are required for a single window. ### Answer: 0.33
Expected answer: 3
Correct? No
Problem: A frog jumps a total of 12288 centimeters in 512 jumps. If the frog jumps the same distance each time, how many centimeters does the frog jump per jump?
LLemma 7B:
Reasoning: 12288/512 = <<12288/512=24>>24 centimeters per jump. ### Answer: 24
Expected answer: 24
Correct? Yes
Problem: After practicing for a while, the frog now jumps a total of 9064 centimeters in the same 512 jumps. If the frog jumps the same distance each time, how many centimeters does the frog now jump per jump?
LLemma 7B:
Reasoning: 9064/512 = <<9064/512=17>>17 centimeters per jump. ### Answer: 17
Expected answer: 1133/64
Correct? No
Problem: A gardener planted a total of 1392 flowers evenly into 116 pots. How many flowers are there in each pot?
LLemma 7B:
Reasoning: 1392/116 = <<1392/116=12>>12 flowers in each pot. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: If instead of planting a total of 1392 flowers, the gardener planted a total of 7275 flowers evenly into the 116 pots, then how many flowers would there be in each pot now?
LLemma 7B:
Reasoning: 7275/116 = <<7275/116=62>>62 flowers in each pot. ### Answer: 62
Expected answer: 7275/116
Correct? No
Problem: An ice cream shop sold a total of 31,176 scoops of ice cream over 9 weeks. How many scoops of ice cream did they sell each week?
LLemma 7B:
Reasoning: 31,176/9 = <<31176/9=3472>>3472 scoops of ice cream per week. ### Answer: 3472
Expected answer: 3464
Correct? No
Problem: A very active mouse runs 14824 meters in 4 hours. If he runs at a constant rate, how many meters per hour does he run?
LLemma 7B:
Reasoning: 14824/4 = <<14824/4=3706>>3706 meters per hour. ### Answer: 3706
Expected answer: 3706
Correct? Yes
Problem: In a large monkey sanctuary, there are 88,508 bananas to be split evenly among 406 monkeys. If every monkey will receive an equal number of bananas, how many bananas would each monkey get?
LLemma 7B:
Reasoning: 88,508/406 = <<88508/406=217>>217 bananas per monkey. Each monkey will receive 217 bananas. ### Answer: 217
Expected answer: 218
Correct? No
Problem: A furniture maker has a large order placed by a hotel owner for tables. The order is for 15110 table legs, making the assumption that each table will have 2 legs. How many tables is the hotel owner ordering?
LLemma 7B:
Reasoning: 15110/2 = <<15110/2=7555>>7555 tables. ### Answer: 7555
Expected answer: 7555
Correct? Yes
Problem: The furniture maker later realizes that there was a mistake in the initial order, and the hotel owner actually only wanted 3774 table legs, with each table having 2 legs. With this corrected order, how many tables is the hotel owner actually ordering?
LLemma 7B:
Reasoning: 3774/2 = <<3774/2=1887>>1887 tables. ### Answer: 1887
Expected answer: 1887
Correct? Yes
Problem: A hat maker has 3560 feathers which will be used to decorate hats. If each hat will have 890 feathers, how many hats can be made?
LLemma 7B:
Reasoning: 3560/890 = <<3560/890=4>>4 hats can be made. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: In the previous scenario, suppose the hat maker did not have 3560 feathers, but only had 1416 feathers instead. If each hat will still have 890 feathers, how many hats can be produced now?
LLemma 7B:
Reasoning: 1416/890 = <<1416/890=1.6>>1.6 hats can be made. ### Answer: 1.6
Expected answer: 708/445
Correct? No
Problem: A card game involves a total of 17394 points distributed equally over 3 players. How many points does each player have?
LLemma 7B:
Reasoning: Each player has 17394/3 = <<17394/3=5798>>5798 points. ### Answer: 5798
Expected answer: 5798
Correct? Yes
Problem: Now, consider a similar game where the total of 17394 points is now distributed evenly among 7489 players instead. In this case, how many points would each player have?
LLemma 7B:
Reasoning: Each player has 17394/7489 = <<17394/7489=2.31>>2.31 points. ### Answer: 2.31
Expected answer: 17394/7489
Correct? No
Problem: The central park covers a big land area of 3276 acres divided into 126 identical sections. How many acres does each section have?
LLemma 7B:
Reasoning: 3276/126 = <<3276/126=26>>26 acres. Each section has 26 acres. ### Answer: 26
Expected answer: 26
Correct? Yes
Problem: If instead of the original size, the park was smaller, covering only 139 acres, but the sections remained the same, each with an equal area, how many acres would each section cover?
LLemma 7B:
Reasoning: 139/126 = <<139/126=1.08>>1.08 acres. Each section covers 1.08 acres. ### Answer: 1.08
Expected answer: 139/126
Correct? No
Problem: A pants manufacturer has 54736 yards of fabric. If they are planning to make each pair of pants using the same amount of fabric and each will consume an equal portion of the total fabric, how many yards of fabric are needed for each pair if they intend to produce 11 pairs?
LLemma 7B:
Reasoning: 54736/11 = <<54736/11=4968>>4968 yards of fabric are needed for each pair. ### Answer: 4968
Expected answer: 4976
Correct? No
Problem: The minute hand of a clock rotates 49716 degrees throughout 18 hours. If the rotation is uniform, how many degrees does it rotate each hour?
LLemma 7B:
Reasoning: 49716/18 = <<49716/18=2792>>2792 degrees each hour. ### Answer: 2792
Expected answer: 2762
Correct? No
Problem: A toy company has made 1865 stuffed animals spread over 373 different designs. If each design has the same number of stuffed animals, how many stuffed animals are there for each design?
LLemma 7B:
Reasoning: 1865/373 = <<1865/373=5>>5 stuffed animals for each design. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: In an alternate scenario, the toy company made 2542 stuffed animals, still spread over 373 different designs. If each design had the same number of stuffed animals in this scenario, how many stuffed animals would there be for each design?
LLemma 7B:
Reasoning: 2542/373 = <<2542/373=7>>7 stuffed animals for each design. ### Answer: 7
Expected answer: 2542/373
Correct? No
Problem: A bear travels a total of 31470 feet in 30 days. If the bear travels the same distance each day, how many feet does it travel each day?
LLemma 7B:
Reasoning: 31470/30 = <<31470/30=1049>>1049 feet The bear travels 1049 feet each day. ### Answer: 1049
Expected answer: 1049
Correct? Yes
Problem: Considering our previous calculation, if a bear travels a total of 31470 feet but this time over 1406 days instead of 30 days and still travels the same distance each day, how many feet does it travel each day now?
LLemma 7B:
Reasoning: 31470/1406 = <<31470/1406=22.25>>22.25 feet The bear travels 22.25 feet each day. ### Answer: 22.25
Expected answer: 15735/703
Correct? No
Problem: A pen manufacturer produced 9636 pen units and distributed them equally among its 44 retailers. How many pen units did each retailer receive?
LLemma 7B:
Reasoning: 9636/44 = <<9636/44=222.5>>222.5 Each retailer received 222.5 units. ### Answer: 222.5
Expected answer: 219
Correct? No