LLemma 7B on 5.NBT.B.6
Common Core Standard 5.NBT.B.6
This standard covers the following:
Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
Problem: A school bus drives 2496 miles over 52 weeks taking students to various competitions. How many miles does the bus drive on average each week?
LLemma 7B:
Reasoning: 2496/52 = <<2496/52=48>>48 miles per week. ### Answer: 48
Expected answer: 48
Correct? Yes
Problem: If the school bus had instead driven 6100 miles over the same 52 weeks, how many miles would the bus have driven on average each week?
LLemma 7B:
Reasoning: 6100/52 = <<6100/52=116.6666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666
Expected answer: 1525/13
Correct? Yes
Problem: An astronaut has a 90-day mission in space during which he consumes a total of 3870 liters of oxygen. If his oxygen consumption is the same every day, how much oxygen does he use daily?
LLemma 7B:
Reasoning: 3870/90 = <<3870/90=43>>43 liters of oxygen per day. ### Answer: 43
Expected answer: 43
Correct? Yes
Problem: If the astronaut's mission got extended to 124 days instead of 90, and he still used a total of 3870 liters of oxygen, how much oxygen did he use daily?
LLemma 7B:
Reasoning: 3870/124 = <<3870/124=31>>31 liters of oxygen per day. ### Answer: 31
Expected answer: 1935/62
Correct? No
Problem: A dinosaur lays 50 eggs evenly in 10 nests. How many eggs are there in each nest?
LLemma 7B:
Reasoning: 50/10 = <<50/10=5>>5 eggs are there in each nest. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: Instead of 50 eggs, a dinosaur lays 2603 eggs and distributes them evenly into 10 nests. How many eggs are there in each nest now?
LLemma 7B:
Reasoning: 2603/10 = <<2603/10=260.3>>260.3 eggs are there in each nest. ### Answer: 260.3
Expected answer: 2603/10
Correct? Yes
Problem: A family decided to donate 455 towels to a local shelter. They plan to donate an equal amount of towels each day for 5 days. How many towels will they donate each day?
LLemma 7B:
Reasoning: 455/5 = <<455/5=91>>91 towels each day. ### Answer: 91
Expected answer: 91
Correct? Yes
Problem: The family, after reviewing their stock, realized that they actually have 4581 towels to donate instead of 455. If they still plan to donate equal amounts for 5 days, how many towels will they donate each day now?
LLemma 7B:
Reasoning: 4581/5 = <<4581/5=916.2>>916.2 towels each day. ### Answer: 916.2
Expected answer: 4581/5
Correct? Yes
Problem: A school has 1089 students and plans to take them on a field trip using buses. If each bus can carry exactly 11 students, how many buses does the school need to hire for the field trip?
LLemma 7B:
Reasoning: 1089/11 = <<1089/11=99>>99 buses. ### Answer: 99
Expected answer: 99
Correct? Yes
Problem: Following the field trip, the school finds out that they will now be taking 4570 students for the next excursion. If each bus can still only carry 11 students, how many buses will the school need to hire for this next field trip?
LLemma 7B:
Reasoning: 4570/11 = <<4570/11=410>>410 buses. ### Answer: 410
Expected answer: 4570/11
Correct? No
Problem: A bed sheet manufacturer produces 2520 bed sheets in 28 days. If they produce the same number of sheets every day, how many bed sheets are manufactured each day?
LLemma 7B:
Reasoning: 2520/28 = <<2520/28=90>>90 bed sheets are manufactured each day. ### Answer: 90
Expected answer: 90
Correct? Yes
Problem: Let's now consider a different bed sheet manufacturer who manages to produce a total of 7208 bed sheets in the same 28-day period. If they also produced the same number of sheets every day, how many bed sheets are manufactured each day in this case?
LLemma 7B:
Reasoning: 7208/28 = <<7208/28=264>>264 bed sheets are manufactured each day. ### Answer: 264
Expected answer: 1802/7
Correct? No
Problem: A dog food manufacturer produces 2900 pounds of dog food in a day. If this amount is evenly distributed into 50 bags, how many pounds of food does each bag contain?
LLemma 7B:
Reasoning: 2900/50 = <<2900/50=58>>58 pounds of food in each bag. ### Answer: 58
Expected answer: 58
Correct? Yes
Problem: The manufacturer changes the production procedure and now it can only produce 2301 pounds of dog food in a day, while maintaining the same number of bags which is 50. How many pounds of food does each bag contain now?
LLemma 7B:
Reasoning: 2301/50 = <<2301/50=46.02>>46.02 pounds of food in each bag. ### Answer: 46.02
Expected answer: 2301/50
Correct? Yes
Problem: A cat catches 2187 mice over a period of 27 months. How many mice does the cat catch each month?
LLemma 7B:
Reasoning: 2187/27 = <<2187/27=81>>81 mice. The cat catches 81 mice each month. ### Answer: 81
Expected answer: 81
Correct? Yes
Problem: The cat's hunting skills have improved! Now this cat catches 2784 mice over the same period of 27 months. How many mice does the cat now catch each month?
LLemma 7B:
Reasoning: 2784/27 = <<2784/27=104>>104 mice. The cat now catches 104 mice each month. ### Answer: 104
Expected answer: 928/9
Correct? No
Problem: A vineyard has harvested 1426 grapes and wants to pack them evenly among 62 boxes. How many grapes will be in each box?
LLemma 7B:
Reasoning: 1426/62 = <<1426/62=23>>23 grapes in each box. ### Answer: 23
Expected answer: 23
Correct? Yes
Problem: If instead of 1426 grapes, the vineyard harvested 4830 grapes and still wanted to distribute them evenly among the 62 boxes, how many grapes would now be in each box?
LLemma 7B:
Reasoning: 4830/62 = <<4830/62=77>>77 grapes in each box. ### Answer: 77
Expected answer: 2415/31
Correct? No
Problem: A group of scientists studying marine life have found 1152 starfish distributed evenly over 72 square feet of seafloor. How many starfish are there in each square foot of seafloor?
LLemma 7B:
Reasoning: There are 1152/72 = <<1152/72=16>>16 starfish in each square foot of seafloor. ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: The scientists then study a different area of seafloor and find 833 starfish distributed evenly over the same 72 square feet. How many starfish are there in each square foot of this different seafloor area?
LLemma 7B:
Reasoning: There are 833/72 = <<833/72=11.5>>11.5 starfish in each square foot of seafloor. ### Answer: 11.5
Expected answer: 833/72
Correct? No
Problem: In a sandbox, a child splits 36 toy trucks evenly between his 18 stuffed animals. How many toy trucks does each stuffed animal get?
LLemma 7B:
Reasoning: 36/18 = <<36/18=2>>2 Each stuffed animal gets 2 toy trucks. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: The child then finds another huge stash of toy trucks totalling 2925. He continues to distribute them evenly among his 18 stuffed animals. How many additional toy trucks does each stuffed animal get now?
LLemma 7B:
Reasoning: 2925/18 = <<2925/18=165>>165 Each stuffed animal gets 165 additional toy trucks. ### Answer: 165
Expected answer: 325/2
Correct? No
Problem: A police officer patrols a city that has been divided into 240 blocks. The city is divided evenly among 30 officers. How many blocks is each officer responsible for?
LLemma 7B:
Reasoning: 240/30 = <<240/30=8>>8 blocks Each officer is responsible for 8 blocks. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: Now consider a larger city that is spread across 3698 blocks. It is also monitored by 30 police officers. How many blocks would each officer be responsible for in this larger city?
LLemma 7B:
Reasoning: 3698/30 = <<3698/30=123>>123 blocks Each officer is responsible for 123 blocks. ### Answer: 123
Expected answer: 1849/15
Correct? No
Problem: In an enchanted forest, there are 7917 unicorns spread evenly among 87 meadows. How many unicorns are there in each meadow?
LLemma 7B:
Reasoning: 7917/87 = <<7917/87=91>>91 unicorns in each meadow. ### Answer: 91
Expected answer: 91
Correct? Yes
Problem: If the enchanted forest had originally contained 2842 unicorns evenly distributed among the 87 meadows instead of 7917, how many unicorns would there be in each meadow?
LLemma 7B:
Reasoning: 2842/87 = <<2842/87=32>>32 unicorns in each meadow. ### Answer: 32
Expected answer: 98/3
Correct? No
Problem: A river flows 902 kilometers through a country, passing through 82 cities along its course. If the river's length is evenly distributed among these cities, how many kilometers of the river's length are there within each city?
LLemma 7B:
Reasoning: 82/902 = <<82/902=0.0902>>0.0902 0.0902 x 902 = <<0.0902*902=8.1244>>8.1244 8.1244/82 = <<8.1244/82=0.1001>>0.1001 ### Answer: 0.1001
Expected answer: 11
Correct? No
Problem: A sunglasses manufacturer produces a total of 552 sunglasses across 69 different production runs. If every run produces an equal number of sunglasses, how many sunglasses are made in each run?
LLemma 7B:
Reasoning: 552/69 = <<552/69=8>>8 sunglasses are made in each run. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: The sunglasses manufacturer actually made a total of 7712 sunglasses across the same 69 production runs. If every run now produced an equal number of sunglasses, how many sunglasses would be made in each run?
LLemma 7B:
Reasoning: 7712/69 = <<7712/69=112>>112 sunglasses are made in each run. ### Answer: 112
Expected answer: 7712/69
Correct? No
Problem: A baby grows at an average rate of 2125 grams in his first 25 days. What is the average daily weight gain of the baby?
LLemma 7B:
Reasoning: 2125/25 = <<2125/25=85>>85 grams The average daily weight gain of the baby is 85 grams. ### Answer: 85
Expected answer: 85
Correct? Yes
Problem: If instead, the baby grows at an average rate of 392 grams in his first 25 days, what is now the average daily weight gain of the baby?
LLemma 7B:
Reasoning: 392/25 = <<392/25=15.68>>15.68 grams The average daily weight gain of the baby is 15.68 grams. ### Answer: 15.68
Expected answer: 392/25
Correct? Yes
Problem: A lamp factory has produced a total of 1073 lamps over 37 consecutive days. If the factory makes the same quantity each day, how many lamps does it manufacture daily?
LLemma 7B:
Reasoning: 1073/37 = <<1073/37=29>>29 lamps each day. ### Answer: 29
Expected answer: 29
Correct? Yes
Problem: If the lamp factory had instead produced a total of 7668 lamps over the same 37 consecutive days, how many lamps would it have manufactured daily?
LLemma 7B:
Reasoning: 7668/37 = <<7668/37=204>>204 lamps each day. ### Answer: 204
Expected answer: 7668/37
Correct? No
Problem: A tiger walked a total of 2556 meters in 36 minutes. How many meters did the tiger walk in one minute?
LLemma 7B:
Reasoning: 2556/36 = <<2556/36=71>>71 meters in one minute. ### Answer: 71
Expected answer: 71
Correct? Yes
Problem: After some recalibration, it was discovered that the tiger actually walked a total of 2301 meters, and not 2556 meters, in 36 minutes. Given this new information, how many meters did the tiger walk in one minute?
LLemma 7B:
Reasoning: 2301/36 = <<2301/36=63>>63 meters in one minute. ### Answer: 63
Expected answer: 767/12
Correct? No
Problem: There are 30 keys on a piano that you are considering to buy. If each key contributes equally to the total cost of the piano, and the piano costs 30 dollars, how much does each key cost?
LLemma 7B:
Reasoning: Each key contributes equally to the total cost of the piano. Each key contributes 30/30 = <<30/30=1>>1 dollar to the total cost of the piano. Each key costs 1 dollar. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: Now suppose you are considering a much more expensive piano that has the same number of keys but costs $6906 in total. If each key contributes equally to the total cost, how much does each key on this piano cost?
LLemma 7B:
Reasoning: Each key contributes equally to the total cost of the piano. Each key contributes 6906/30 = <<6906/30=230.2>>230.2 dollars to the total cost of the piano. Each key costs 230.2 dollars. ### Answer: 230.2
Expected answer: 1151/5
Correct? Yes
Problem: On the beach, there are 1804 seashells scattered across a 41-meter stretch of sand. If the seashells are distributed evenly across this stretch, how many seashells are there per meter?
LLemma 7B:
Reasoning: 1804/41 = <<1804/41=44.5>>44.5 seashells per meter. ### Answer: 44.5
Expected answer: 44
Correct? No
Problem: A kite is flown for a total of 1311 minutes over the course of 23 days during the summer. If the kite is flown for the same amount of time each day, how many minutes is the kite in the air per day?
LLemma 7B:
Reasoning: 1311/23 = <<1311/23=57>>57 minutes per day. ### Answer: 57
Expected answer: 57
Correct? Yes
Problem: Instead of 1311 minutes of total flight time, suppose the kite was flown for a total of 9051 minutes over the same duration of 23 days. How many minutes per day was the kite in the air now?
LLemma 7B:
Reasoning: 9051/23 = <<9051/23=391>>391 minutes per day. ### Answer: 391
Expected answer: 9051/23
Correct? No
Problem: A farmer harvested 2065 kilograms of tomatoes evenly from her 59 tomato plants. How many kilograms of tomatoes were produced by each plant on average?
LLemma 7B:
Reasoning: 2065/59 = <<2065/59=34.9>>34.9 kilograms of tomatoes were produced by each plant on average. ### Answer: 34.9
Expected answer: 35
Correct? No
Problem: A small indoor mouse can travel a total distance of 4928 meters by running all over the house in 77 hours. On average, how many meters does the mouse run in one hour?
LLemma 7B:
Reasoning: 4928/77 = <<4928/77=64>>64 meters. ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: Consider instead that the indoor mouse had the ability to travel a total distance of 4928 meters in a shorter time span of 3690 minutes. On average, how many meters does the mouse run in one minute now?
LLemma 7B:
Reasoning: 4928/3690 = <<4928/3690=13.3>>13.3 meters. ### Answer: 13.3
Expected answer: 2464/1845
Correct? No
Problem: A kite flies at a height of 1800 feet using a 50-foot string. How high is the kite flying per each foot of the used string?
LLemma 7B:
Reasoning: The kite flies at a height of 1800 feet using a 50-foot string. The kite flies at a height of 1800/50 = <<1800/50=36>>36 feet per each foot of the used string. ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: Suppose the kite now flies at a height of 5659 feet using the same 50-foot string. Now, how high is the kite flying per each foot of the used string?
LLemma 7B:
Reasoning: The kite flies at a height of 5659 feet using the same 50-foot string. The kite flies at a height of 5659/50 = <<5659/50=113.18>>113.18 feet per each foot of the used string. ### Answer: 113.18
Expected answer: 5659/50
Correct? Yes
Problem: During a camping trip, you gather 2208 ounces of firewood, which needs to be evenly divided over 96 hours of maintaining the campfire. How many ounces of firewood are used per hour?
LLemma 7B:
Reasoning: 2208/96 = <<2208/96=23>>23 ounces of firewood are used per hour. ### Answer: 23
Expected answer: 23
Correct? Yes
Problem: A princess has received 600 gifts for her birthday. She decides to evenly distribute these gifts among 50 of her closest friends. How many gifts does each friend receive?
LLemma 7B:
Reasoning: 600/50 = <<600/50=12>>12 gifts for each friend. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: In the following year, the princess receives 4030 gifts for her birthday. She again decides to evenly distribute this larger amount of presents among her 50 close friends. How many gifts does each friend get in this year?
LLemma 7B:
Reasoning: 4030/50 = <<4030/50=80.6>>80.6 gifts for each friend. ### Answer: 80.6
Expected answer: 403/5
Correct? Yes
Problem: Over the course of a 52-week year, you burned a total of 4264 logs in your fireplace. How many logs did you burn on average each week?
LLemma 7B:
Reasoning: 4264/52 = <<4264/52=82.8>>82.8 logs per week. ### Answer: 82.8
Expected answer: 82
Correct? No
Problem: An unidentified flying object (UFO) traveled a distance of 1278 miles in 71 minutes. Assuming the UFO traveled at a constant speed, what was the UFO's speed in miles per minute?
LLemma 7B:
Reasoning: The UFO's speed is the distance traveled divided by the time it took to travel that distance. The UFO's speed is 1278/71 = <<1278/71=18.15>>18.15 miles per minute. ### Answer: 18.15
Expected answer: 18
Correct? No
Problem: A snail travels a total distance of 1610 cm in 35 days. If the snail travels the same distance each day, how many centimeters does the snail travel daily?
LLemma 7B:
Reasoning: 1610/35 = <<1610/35=46.43>>46.43 cm The snail travels 46.43 cm daily. ### Answer: 46.43
Expected answer: 46
Correct? No
Problem: A beach resort is hosting a sandcastle-building competition. They brought 960 pounds of sand for the event, and they need to divide it evenly among 80 competitor stations. How much sand will there be at each station?
LLemma 7B:
Reasoning: 960/80 = <<960/80=12>>12 pounds of sand at each station. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: What if the beach resort decided to bring in more sand for the sandcastle-building competition and now they have 1120 pounds distributed among the same 80 competitor stations? Now, how much sand will there be at each station?
LLemma 7B:
Reasoning: 1120/80 = <<1120/80=14>>14 pounds of sand at each station. ### Answer: 14
Expected answer: 14
Correct? Yes
Problem: A jewellery store received a shipment of 2520 colourful bracelets and decided to divide them evenly amongst 56 display cases. How many bracelets would be in each display case?
LLemma 7B:
Reasoning: 2520/56 = <<2520/56=45>>45 bracelets would be in each display case. ### Answer: 45
Expected answer: 45
Correct? Yes
Problem: After the jewellery store's successful sale, they decided to bring in a fresh shipment of 5311 new bracelets. If they distributed these new bracelets equally amongst the same 56 display cases as before, how many bracelets would be in each display case now?
LLemma 7B:
Reasoning: 5311/56 = <<5311/56=95>>95 bracelets would be in each display case now. ### Answer: 95
Expected answer: 5311/56
Correct? No
Problem: A tiger travels a total distance of 4104 miles over 54 days. If the tiger traveled an equal number of miles each day, how many miles does the tiger travel in one day?
LLemma 7B:
Reasoning: 4104/54 = <<4104/54=76>>76 miles in one day. ### Answer: 76
Expected answer: 76
Correct? Yes
Problem: Now suppose that the tiger traveled a shorter distance of 2498 miles over the same period of 54 days. If the tiger still travelled an equal number of miles each day, how many miles would the tiger travel in one day now?
LLemma 7B:
Reasoning: 2498/54 = <<2498/54=46>>46 miles in one day. ### Answer: 46
Expected answer: 1249/27
Correct? No
Problem: A host baked cookies for a party and made a total of 2460 cookies. The baking process is evenly distributed over 60 batches. How many cookies are there in each batch?
LLemma 7B:
Reasoning: 2460/60 = <<2460/60=41>>41 cookies in each batch. ### Answer: 41
Expected answer: 41
Correct? Yes
Problem: The host now realized he miscalculated and actually baked 2460 cookies over 554 batches not 60. How many cookies are in each batch now?
LLemma 7B:
Reasoning: 2460/554 = <<2460/554=4.4>>4.4 cookies in each batch. ### Answer: 4.4
Expected answer: 1230/277
Correct? No
Problem: If you divide 156 evenly into 6 sets, how many numbers will be in each set?
LLemma 7B:
Reasoning: 156/6 = <<156/6=26>>26 ### Answer: 26
Expected answer: 26
Correct? Yes
Problem: If instead of splitting 156 items, you had to divide a larger number of items, like 2347, into the same 6 groups, how many items would be in each group now?
LLemma 7B:
Reasoning: 2347/6 = <<2347/6=391.166666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666
Expected answer: 2347/6
Correct? Yes
Problem: A bubble machine produces a total of 888 bubbles over a period of 24 minutes. How many bubbles does it produce in a minute?
LLemma 7B:
Reasoning: 888/24 = <<888/24=37.5>>37.5 bubbles in a minute. ### Answer: 37.5
Expected answer: 37
Correct? No
Problem: A rainbow appears after a rainstorm and lasts for 680 seconds. It cycles through its complete range of colors 8 times during its appearance. How many seconds does it spend on each cycle?
LLemma 7B:
Reasoning: 680/8 = <<680/8=85>>85 seconds on each cycle. ### Answer: 85
Expected answer: 85
Correct? Yes
Problem: In an unusual display, a different rainbow after a subsequent rainstorm lasts for 8713 seconds while still cycling through its complete range of colors 8 times. How many seconds does this rainbow spend on each cycle?
LLemma 7B:
Reasoning: 8713/8 = <<8713/8=1088.125>>1088.125 seconds on each cycle. ### Answer: 1088.125
Expected answer: 8713/8
Correct? No
Problem: A ball recycler has a total of 3864 balls that he wants to evenly distribute into 42 recycling bins. How many balls will there be in each bin?
LLemma 7B:
Reasoning: 3864/42 = <<3864/42=92>>92 balls in each bin. ### Answer: 92
Expected answer: 92
Correct? Yes
Problem: If the ball recycler instead had a total of 4934 balls that he wanted to evenly distribute into 42 recycling bins, how many balls would there be in each bin?
LLemma 7B:
Reasoning: 4934/42 = <<4934/42=115>>115 balls in each bin. ### Answer: 115
Expected answer: 2467/21
Correct? No
Problem: A metalsmith is making rings. He has 1610 grams of silver and decides to use 70 grams of silver for each ring. How many rings can the metalsmith create?
LLemma 7B:
Reasoning: 1610/70 = <<1610/70=23>>23 The metalsmith can create 23 rings. ### Answer: 23
Expected answer: 23
Correct? Yes
Problem: The metalsmith decided to melt more silver from the warehouse and now he has a total of 5312 grams of silver. If he continues using the same amount of 70 grams of silver for each ring, how many rings can the metalsmith create now?
LLemma 7B:
Reasoning: 5312/70 = <<5312/70=74>>74 The metalsmith can create 74 rings. ### Answer: 74
Expected answer: 2656/35
Correct? No
Problem: A crate contains 88 apples. If the apples are equally distributed into 44 bags, how many apples does each bag contain?
LLemma 7B:
Reasoning: 88/44 = <<88/44=2>>2 apples in each bag. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: Suppose we reconsider the number of apples and there are actually 8840 apples in the crate instead of 88. If these apples are still equally distributed into 44 bags, how many apples would each bag contain now?
LLemma 7B:
Reasoning: 8840/44 = <<8840/44=200>>200 apples in each bag. ### Answer: 200
Expected answer: 2210/11
Correct? No
Problem: A jewelry maker uses 87 precious stones to create a bracelet that consists of 29 identical parts. How many stones are there in each part of the bracelet?
LLemma 7B:
Reasoning: 87/29 = <<87/29=3>>3 There are 3 stones in each part of the bracelet. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: The jewelry maker now uses 8017 precious stones to create the bracelet still keeping the same structure of 29 identical parts. How many stones are there in each part of the new bracelet?
LLemma 7B:
Reasoning: 8017/29 = <<8017/29=273>>273 There are 273 stones in each part of the new bracelet. ### Answer: 273
Expected answer: 8017/29
Correct? No
Problem: A beverage company has set a target of filling 1320 bottles with juice evenly spread over 88 hours. How many bottles are filled per hour?
LLemma 7B:
Reasoning: 1320/88 = <<1320/88=15>>15 bottles are filled per hour. ### Answer: 15
Expected answer: 15
Correct? Yes
Problem: The beverage company has now set a new target of filling 8607 bottles with juice, maintaining the same 88 hours of operation. How many bottles are filled per hour under this new target?
LLemma 7B:
Reasoning: 8607/88 = <<8607/88=98>>98 bottles are filled per hour. ### Answer: 98
Expected answer: 8607/88
Correct? No
Problem: Annapurna is an avid gardener and plans to plant 3520 tulips in 40 equal rows. How many tulips will she plant in each row?
LLemma 7B:
Reasoning: 3520/40 = <<3520/40=88>>88 tulips in each row. ### Answer: 88
Expected answer: 88
Correct? Yes
Problem: Anna now realized she made a mistake earlier. Instead of 40 rows, she remembered that she actually only has 3052 spaces to plant her tulips. If she wants to split the 3520 tulips evenly, how many tulips will she plant in each space?
LLemma 7B:
Reasoning: 3520/3052 = <<3520/3052=1.15625>>1.15625 tulips in each space. ### Answer: 1.15625
Expected answer: 880/763
Correct? No
Problem: A toy shop produced 3306 doll clothes and distributed them evenly among 58 dolls. How many pieces of clothing did each doll get?
LLemma 7B:
Reasoning: 3306/58 = <<3306/58=56.36>>56.36 pieces of clothing did each doll get. ### Answer: 56.36
Expected answer: 57
Correct? No
Problem: A bear consumes 1881 pounds of food over a 19-day hibernation period. On average, how many pounds of food does the bear consume per day during this period?
LLemma 7B:
Reasoning: 1881/19 = <<1881/19=99>>99 pounds of food per day. ### Answer: 99
Expected answer: 99
Correct? Yes
Problem: If the same bear were to consume 7207 pounds of food over the same 19-day hibernation period instead, how many pounds of food would the bear consume per day during this period in that case?
LLemma 7B:
Reasoning: 7207/19 = <<7207/19=380>>380 pounds of food per day. ### Answer: 380
Expected answer: 7207/19
Correct? No
Problem: A plane flew 1720 miles in 86 hours. How many miles did the plane fly per hour?
LLemma 7B:
Reasoning: 1720/86 = <<1720/86=20>>20 miles per hour. ### Answer: 20
Expected answer: 20
Correct? Yes
Problem: If the same plane had flown 1990 miles instead of 1720 miles in the same 86 hours, how many miles did the plane fly per hour then?
LLemma 7B:
Reasoning: 1990/86 = <<1990/86=23>>23 miles per hour. ### Answer: 23
Expected answer: 995/43
Correct? No
Problem: A pencil factory manufactured 4950 pencils over a period of 90 hours. If the factory produced the same number of pencils every hour, how many pencils did it produce each hour?
LLemma 7B:
Reasoning: 4950/90 = <<4950/90=55>>55 pencils every hour. ### Answer: 55
Expected answer: 55
Correct? Yes
Problem: The pencil factory revised its production records and found out that it actually produced 3487 pencils over a period of 90 hours, not 4950 pencils. If this new total amount was produced evenly over the same period, how many pencils did the factory actually produce each hour?
LLemma 7B:
Reasoning: 3487/90 = <<3487/90=38.5>>38.5 pencils every hour. ### Answer: 38.5
Expected answer: 3487/90
Correct? No
Problem: During a certain season, a garden produces a total of 780 tomatoes. If this output is evenly distributed over 52 weeks, how many tomatoes does the garden produce each week?
LLemma 7B:
Reasoning: 780/52 = <<780/52=14.68181818181818>> The garden produces 14 tomatoes each week. ### Answer: 14
Expected answer: 15
Correct? No
Problem: A tiger travels a total distance of 1679 km evenly over a period of 73 days. How many kilometers does the tiger cover each day?
LLemma 7B:
Reasoning: 1679/73 = <<1679/73=23>>23 km The tiger covers 23 km each day. ### Answer: 23
Expected answer: 23
Correct? Yes
Problem: If the same tiger were to travel a total distance of 7008 km, instead of 1679 km, evenly over the SAME period of 73 days, how many kilometers would the tiger cover each day now?
LLemma 7B:
Reasoning: 7008/73 = <<7008/73=96>>96 km The tiger covers 96 km each day. ### Answer: 96
Expected answer: 96
Correct? Yes
Problem: A popular sporting goods store just got a shipment of 2280 new ice skates. They plan on distributing them equally among their 38 store locations. How many ice skates will each store receive?
LLemma 7B:
Reasoning: 2280/38 = <<2280/38=60>>60 ice skates will each store receive. ### Answer: 60
Expected answer: 60
Correct? Yes
Problem: The sporting goods store unexpectedly received an additional shipment, bringing the total number of new ice skates to 3887. If they still plan on distributing them equally among their 38 store locations, how many ice skates will each store receive now?
LLemma 7B:
Reasoning: 3887/38 = <<3887/38=102.5>>102.5 ice skates will each store receive. ### Answer: 102.5
Expected answer: 3887/38
Correct? No
Problem: You've embarked on reading an epic novel of 4606 pages. You decide to split the reading evenly over 47 days. How many pages do you need to read each day to achieve this?
LLemma 7B:
Reasoning: 4606/47 = <<4606/47=98.71774193548387>>98.71774193548387 pages. You need to read 98.71774193548387 pages each day to achieve this. ### Answer: 98.71774193548387
Expected answer: 98
Correct? No
Problem: A dressmaking company has 3234 centimeters of fabric. If they used 33 centimeters of fabric to make each skirt, how many skirts can they make in total?
LLemma 7B:
Reasoning: 3234/33 = <<3234/33=98>>98 skirts can be made in total. ### Answer: 98
Expected answer: 98
Correct? Yes
Problem: If the dressmaking company decides to create a more elaborate skirt design that requires 158 centimeters of fabric per skirt instead of 33 centimeters, how many skirts can they make now with the 3234 centimeters of fabric they have?
LLemma 7B:
Reasoning: 3234/158 = <<3234/158=20.4>>20.4 skirts can be made in total. ### Answer: 20.4
Expected answer: 1617/79
Correct? No
Problem: A doctor has spent a total of 4424 minutes talking with patients over the past 56 days. If the doctor spends the same amount of time talking with patients each day, how many minutes does he spend each day?
LLemma 7B:
Reasoning: 4424/56 = <<4424/56=78>>78 minutes The doctor spends 78 minutes each day. ### Answer: 78
Expected answer: 79
Correct? No
Problem: Sam has a total of 3025 marshmallows which he wants to package into bags of 55. How many marshmallows will be in each bag?
LLemma 7B:
Reasoning: 3025/55 = <<3025/55=54.5>>54.5 Sam will have 54.5 marshmallows in each bag. ### Answer: 54.5
Expected answer: 55
Correct? No
Problem: A jeweler has 1944 pieces of beads and wants to create bracelets using an equal number of beads in each bracelet. If the jeweler ends up making 72 bracelets, how many beads does each bracelet have?
LLemma 7B:
Reasoning: 1944/72 = <<1944/72=27>>27 beads in each bracelet. ### Answer: 27
Expected answer: 27
Correct? Yes
Problem: If the jeweler decided instead to make 495 bracelets using the same 1944 beads, how many beads would each bracelet have then?
LLemma 7B:
Reasoning: 1944/495 = <<1944/495=3.9>>3.9 beads in each bracelet. ### Answer: 3.9
Expected answer: 216/55
Correct? No
Problem: A farmer has 272 carrots and he wants to evenly divide them into 17 bunches for the market. How many carrots will there be in each bunch?
LLemma 7B:
Reasoning: 272/17 = <<272/17=16>>16 carrots in each bunch. ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: In the previous scenario, if the farmer instead had 3176 carrots and still wanted to divide them evenly into 17 bunches, how many carrots would there then be in each bunch?
LLemma 7B:
Reasoning: 3176/17 = <<3176/17=184>>184 carrots in each bunch. ### Answer: 184
Expected answer: 3176/17
Correct? No
Problem: During a winter season, 1740 inches of snow fell over the course of 87 days. On average, how many inches of snow fell each day?
LLemma 7B:
Reasoning: 1740/87 = <<1740/87=20>>20 inches of snow fell each day. ### Answer: 20
Expected answer: 20
Correct? Yes
Problem: A carpenter has 80 inches of wood to create a door that requires exactly 80 inches. How many doors can he make?
LLemma 7B:
Reasoning: 80/80 = <<80/80=1>>1 door. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: If the carpenter now has 4322 inches of wood instead of 80, how many doors can he make if each door still requires exactly 80 inches of wood?
LLemma 7B:
Reasoning: 4322/80 = <<4322/80=53.8>>53 doors. ### Answer: 53
Expected answer: 2161/40
Correct? No
Problem: A doctor, in the course of her career, has treated a total of 2691 patients. If this was achieved over a period of 39 years of active service, how many patients did she attend to in each year on average?
LLemma 7B:
Reasoning: 2691/39 = <<2691/39=69>>69 patients in each year on average. ### Answer: 69
Expected answer: 69
Correct? Yes
Problem: Continuing from the previous problem, considering that over her career, the doctor treated a total of 9447 patients, rather than 2691, how many patients did she attend to in each year on average now?
LLemma 7B:
Reasoning: 9447/39 = <<9447/39=241>>241 patients in each year on average. ### Answer: 241
Expected answer: 3149/13
Correct? No
Problem: A farmer harvested 936 cucumbers from his 52 plants. If he got the same number of cucumbers from each plant, how many cucumbers did he get from each plant?
LLemma 7B:
Reasoning: 936/52 = <<936/52=18>>18 cucumbers from each plant. ### Answer: 18
Expected answer: 18
Correct? Yes
Problem: In the next season, the same farmer harvested a larger crop of 8539 cucumbers from his 52 plants. If he harvested the same number of cucumbers from each plant as in the previous season, how many cucumbers did he get from each plant this time around?
LLemma 7B:
Reasoning: 8539/52 = <<8539/52=165>>165 cucumbers from each plant. ### Answer: 165
Expected answer: 8539/52
Correct? No
Problem: A party organizer has 2470 balloons to be equally distributed over 26 parties. How many balloons does each party get?
LLemma 7B:
Reasoning: 2470/26 = <<2470/26=93>>93 balloons for each party. ### Answer: 93
Expected answer: 95
Correct? No
Problem: A manufacturer makes a large batch of 858 milliliters of juice. It plans to distribute this juice equally into 13 bottles. How much juice will each bottle contain?
LLemma 7B:
Reasoning: 858/13 = <<858/13=65>>65 milliliters Each bottle will contain 65 milliliters of juice. ### Answer: 65
Expected answer: 66
Correct? No
Problem: A scooter travels a total of 1600 feet in 64 seconds. How many feet does the scooter travel in each second?
LLemma 7B:
Reasoning: 1600/64 = <<1600/64=25>>25 feet in each second. ### Answer: 25
Expected answer: 25
Correct? Yes
Problem: Instead of traveling 1600 feet in 64 seconds, let's assume that the scooter traveled 3984 feet in the same amount of time. How many feet would the scooter travel in each second under this new scenario?
LLemma 7B:
Reasoning: 3984/64 = <<3984/64=61>>61 feet in each second. ### Answer: 61
Expected answer: 249/4
Correct? No
Problem: A company has manufactured a total of 2907 lamps that are to be divided equally among 51 stores. How many lamps will each store receive?
LLemma 7B:
Reasoning: 2907/51 = <<2907/51=57>>57 lamps Each store will receive 57 lamps. ### Answer: 57
Expected answer: 57
Correct? Yes
Problem: Suppose the company instead manufactured a total of 4753 lamps that are to be divided equally among the 51 stores. How many lamps will each store receive now?
LLemma 7B:
Reasoning: 4753/51 = <<4753/51=94>>94 lamps Each store will receive 94 lamps. ### Answer: 94
Expected answer: 4753/51
Correct? No
Problem: A clock ticks 756 times in 18 minutes. How many times does it tick in one minute?
LLemma 7B:
Reasoning: 756/18 = <<756/18=42>>42 ### Answer: 42
Expected answer: 42
Correct? Yes
Problem: If instead the clock ticks a total of 3788 times in the same 18-minute period, how many times would it tick in one minute?
LLemma 7B:
Reasoning: 3788/18 = <<3788/18=212>>212 ### Answer: 212
Expected answer: 1894/9
Correct? No
Problem: A pillow factory has 930 feathers available to fill their pillows. If they put the same amount of feathers into each pillow and are able to fill 15 pillows, how many feathers are in each pillow?
LLemma 7B:
Reasoning: 930/15 = <<930/15=62>>62 feathers in each pillow. ### Answer: 62
Expected answer: 62
Correct? Yes
Problem: An additional pillow factory comes into play where they have 5881 feathers available to fill their pillows. If they also put the same amount of feathers into each pillow and are able to fill 15 pillows just like the first factory, how many feathers would be in each of their pillows?
LLemma 7B:
Reasoning: 5881/15 = <<5881/15=392.7333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
Expected answer: 5881/15
Correct? Yes
Problem: A pair of binoculars cost $702. If the cost is divided equally amongst a birdwatching group of 54 people, how much does each person have to contribute?
LLemma 7B:
Reasoning: 702/54 = <<702/54=12.714285714285714>>12.714285714285714 Each person has to contribute $12.714285714285714. ### Answer: $12.71
Expected answer: 13
Correct? No
Problem: A rope is 510 cm long. If it's divided into 30 equal pieces, how long is each piece?
LLemma 7B:
Reasoning: 510/30 = <<510/30=17>>17 cm ### Answer: 17
Expected answer: 17
Correct? Yes
Problem: Suppose the rope was actually 9650 cm long instead of 510 cm, and we still want to divide it into 30 equal parts. How long would each piece be now?
LLemma 7B:
Reasoning: 9650/30 = <<9650/30=321>>321 cm ### Answer: 321
Expected answer: 965/3
Correct? No
Problem: A pirate ship has a total of 6097 gold coins stowed away, evenly distributed among its 91 chests. How many coins are in each chest?
LLemma 7B:
Reasoning: 6097/91 = <<6097/91=67>>67 coins are in each chest. ### Answer: 67
Expected answer: 67
Correct? Yes
Problem: Let's reconsider our previous scenario, but this time the pirate ship stashes a total of 6097 gold coins evenly distributed among not 91, but 2910 chests. How many gold coins are now in each chest?
LLemma 7B:
Reasoning: 6097/2910 = <<6097/2910=2>>2 coins are in each chest. ### Answer: 2
Expected answer: 6097/2910
Correct? No
Problem: A treasure chest contains 2425 gold coins. The coins are to be divided evenly among 97 pirates. How many coins does each pirate receive?
LLemma 7B:
Reasoning: 2425/97 = <<2425/97=25>>25 coins. Each pirate receives 25 coins. ### Answer: 25
Expected answer: 25
Correct? Yes
Problem: Suppose the treasure chest actually contained 5005 gold coins instead of 2425. If these coins are to be divided evenly among the same 97 pirates, how many coins would each pirate receive now?
LLemma 7B:
Reasoning: 5005/97 = <<5005/97=52>>52 coins. Each pirate receives 52 coins. ### Answer: 52
Expected answer: 5005/97
Correct? No
Problem: A boat consumes 204 liters of fuel during a journey of 51 hours. How many liters of fuel does the boat consume in one hour?
LLemma 7B:
Reasoning: 204/51 = <<204/51=4>>4 liters of fuel in one hour. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: If the boat only had 100 liters of fuel to start with instead of 204 liters for the same 51-hour journey, how much fuel would the boat consume per hour now?
LLemma 7B:
Reasoning: 100/51 = <<100/51=2>>2 liters of fuel in one hour. ### Answer: 2
Expected answer: 100/51
Correct? No
Problem: A map's scale is such that 8448 kilometers are represented as 96 centimeters. How many kilometers does each centimeter represent on this map?
LLemma 7B:
Reasoning: 8448/96 = <<8448/96=87>>87 kilometers. Each centimeter represents 87 kilometers on this map. ### Answer: 87
Expected answer: 88
Correct? No
Problem: A train travels a total of 584 kms evenly over 73 hours. How many kms does it travel each hour?
LLemma 7B:
Reasoning: 584/73 = <<584/73=8>>8 kms The train travels 8 kms each hour. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: A train travels a total of 584 kms evenly over 71 hours instead of 73. How many kms does it travel each hour now?
LLemma 7B:
Reasoning: 584/71 = <<584/71=8.11>>8.11 kms The train travels 8.11 kms each hour. ### Answer: 8.11
Expected answer: 584/71
Correct? No
Problem: A teacher assigns a total of 3612 pages of reading over 86 days of school. If the teacher assigns an equal number of pages for every day, how many pages does each student need to read daily?
LLemma 7B:
Reasoning: 3612/86 = <<3612/86=42>>42 pages of reading per day. ### Answer: 42
Expected answer: 42
Correct? Yes
Problem: If the teacher realizes that the reading load is too much and reduces the total number of pages to be read to 3612, but spreads them over 328 days instead of 86 days, how many pages would each student need to read daily then?
LLemma 7B:
Reasoning: 3612/328 = <<3612/328=11>>11 pages of reading per day. ### Answer: 11
Expected answer: 903/82
Correct? No
Problem: A hat maker makes 1083 hats throughout 57 weeks. If the hat maker makes the same amount of hats every week, how many hats does the hat maker produce weekly?
LLemma 7B:
Reasoning: 1083/57 = <<1083/57=18.5>>18.5 hats per week. ### Answer: 18.5
Expected answer: 19
Correct? No
Problem: A sock manufacturer produced 4218 pairs of socks over 74 days. If they produced the same number of socks each day, how many pairs of socks did they make daily?
LLemma 7B:
Reasoning: 4218/74 = <<4218/74=57>>57 pairs of socks per day. ### Answer: 57
Expected answer: 57
Correct? Yes
Problem: After a reassessment, it was found that the sock manufacturer actually produced a total of 4055 pairs of socks over the same 74 days. With this new information, how many pairs of socks did they make daily?
LLemma 7B:
Reasoning: 4055/74 = <<4055/74=54>>54 pairs of socks per day. ### Answer: 54
Expected answer: 4055/74
Correct? No
Problem: A jewellery shop makes bracelets, each using 69 small pearls. From 3657 pearls, how many full bracelets can be made?
LLemma 7B:
Reasoning: 3657/69 = <<3657/69=52>>52 ### Answer: 52
Expected answer: 53
Correct? No
Problem: A scooter travelled a total distance of 4000 meters in 80 minutes. How many meters did the scooter travel per minute?
LLemma 7B:
Reasoning: 4000/80 = <<4000/80=50>>50 meters per minute. ### Answer: 50
Expected answer: 50
Correct? Yes
Problem: In the following week, the same scooter travelled a longer total distance of 5391 meters in the same time period of 80 minutes. How many meters did the scooter travel per minute now?
LLemma 7B:
Reasoning: 5391/80 = <<5391/80=66.4375>>66.4375 meters per minute. ### Answer: 66.4375
Expected answer: 5391/80
Correct? No
Problem: A toy factory makes 364 toys in a week. If the factory operates the same number of hours each day for 4 days a week, how many toys are made per day?
LLemma 7B:
Reasoning: 364/4 = <<364/4=91>>91 toys are made per day. ### Answer: 91
Expected answer: 91
Correct? Yes
Problem: If the toy factory changes its operations and now makes 571 toys in a week over the same 4 days, how many toys are now made per day?
LLemma 7B:
Reasoning: 571/4 = <<571/4=142.75>>142.75 toys are made per day. ### Answer: 142.75
Expected answer: 571/4
Correct? Yes
Problem: A slide that is 4950 millimeters long is divided into 66 equal sections. How many millimeters long is each section?
LLemma 7B:
Reasoning: 4950/66 = <<4950/66=75>>75 millimeters long is each section. ### Answer: 75
Expected answer: 75
Correct? Yes
Problem: If the slide was instead 9823 millimeters long but still divided into 66 equal sections, how many millimeters long would each section be now?
LLemma 7B:
Reasoning: 9823/66 = <<9823/66=145>>145 millimeters long is each section. ### Answer: 145
Expected answer: 893/6
Correct? No
Problem: A dragon hoards 726 gold coins in his cave spread evenly among 66 small chests. How many gold coins are there in each chest?
LLemma 7B:
Reasoning: 726/66 = <<726/66=11>>11 gold coins are there in each chest. ### Answer: 11
Expected answer: 11
Correct? Yes
Problem: Considering the same dragon's hoard from the previous problem, suppose that the dragon actually had 3453 gold coins instead of 726. If the dragon still spread the gold evenly among the 66 chests, how many gold coins would be in each chest now?
LLemma 7B:
Reasoning: 3453/66 = <<3453/66=51>>51 gold coins are there in each chest now. ### Answer: 51
Expected answer: 1151/22
Correct? No
Problem: A group of marine biologists count a total of 702 limbs on a group of starfish. If each starfish has 9 limbs, how many starfish are there in the group?
LLemma 7B:
Reasoning: 702/9 = <<702/9=73>>73 starfish are there in the group. ### Answer: 73
Expected answer: 78
Correct? No
Problem: The city park covers an area of 1927 acres. The area is divided into 47 equal sections for various activities and recreational facilities. If each section is of equal size, how large is each section in acres?
LLemma 7B:
Reasoning: 1927/47 = <<1927/47=41>>41 acres ### Answer: 41
Expected answer: 41
Correct? Yes
Problem: The city decides to reconfigure the park by further dividing the 1927 acre park into 411 equal sections instead to accommodate more activities and recreational facilities. If each new section is of equal size, how large is each section in acres now?
LLemma 7B:
Reasoning: 1927/411 = <<1927/411=4.75>>4.75 acres ### Answer: 4.75
Expected answer: 1927/411
Correct? No
Problem: A truck rental company has a total of 744 trucks distributed evenly among 24 branches. How many trucks does each branch have?
LLemma 7B:
Reasoning: 744/24 = <<744/24=31>>31 trucks Each branch has 31 trucks. ### Answer: 31
Expected answer: 31
Correct? Yes
Problem: The truck rental company decides to add more trucks and now has a total of 6028 trucks. If they are still distributed evenly among the 24 branches, how many trucks does each branch now have?
LLemma 7B:
Reasoning: 6028/24 = <<6028/24=251>>251 trucks Each branch has 251 trucks. ### Answer: 251
Expected answer: 1507/6
Correct? No
Problem: A farmer has 2820 oranges that he wants to distribute equally into 60 boxes. How many oranges will be in each box?
LLemma 7B:
Reasoning: 2820/60 = <<2820/60=47>>47 oranges in each box. ### Answer: 47
Expected answer: 47
Correct? Yes
Problem: A treasure chest contains 7280 gold coins. The coins are evenly distributed in 91 bags. How many gold coins are there in each bag?
LLemma 7B:
Reasoning: 7280/91 = <<7280/91=80>>80 gold coins in each bag. ### Answer: 80
Expected answer: 80
Correct? Yes
Problem: What if instead of 7280 gold coins, the treasure chest contained 5857 gold coins, still distributed evenly among the 91 bags? How many gold coins would each bag hold now?
LLemma 7B:
Reasoning: 5857/91 = <<5857/91=64>>64 gold coins in each bag. ### Answer: 64
Expected answer: 5857/91
Correct? No
Problem: A soap factory produced 1980 bars of soap by using 20 equal-sized molds. What is the number of soap bars produced by each mold?
LLemma 7B:
Reasoning: 1980/20 = <<1980/20=99>>99 ### Answer: 99
Expected answer: 99
Correct? Yes
Problem: In the following month, the same soap factory now produced 9741 bars of soap using the same 20 equal-sized molds. How many soap bars are now produced by each mold?
LLemma 7B:
Reasoning: 9741/20 = <<9741/20=487.05>>487.05 ### Answer: 487.05
Expected answer: 9741/20
Correct? Yes
Problem: A mountain is 1457 meters high and consists of 47 equally tall layers of rock. How tall is each layer of rock?
LLemma 7B:
Reasoning: 1457/47 = <<1457/47=31>>31 meters tall is each layer of rock. ### Answer: 31
Expected answer: 31
Correct? Yes
Problem: Now imagine the mountain's height is adjusted to 8729 meters and it still has the same 47 equally tall layers of rock. How tall would each layer of rock be in this scenario?
LLemma 7B:
Reasoning: 8729/47 = <<8729/47=184>>184 meters tall is each layer of rock. ### Answer: 184
Expected answer: 8729/47
Correct? No
Problem: A 4230 meter long rope gets divided evenly into 90 pieces. How long is each piece of rope?
LLemma 7B:
Reasoning: 4230/90 = <<4230/90=47>>47 Each piece of rope is 47 meters long. ### Answer: 47
Expected answer: 47
Correct? Yes
Problem: A forest contains 2508 trees evenly distributed over 38 hectares of land. How many trees are there per hectare?
LLemma 7B:
Reasoning: 2508/38 = <<2508/38=65>>65 trees per hectare. ### Answer: 65
Expected answer: 66
Correct? No
Problem: A backpacker plans a thru-hike of 4526 miles, intending to walk the same distance each day for 62 days. What is the distance, in miles, that the backpacker walks each day?
LLemma 7B:
Reasoning: 4526/62 = <<4526/62=71.7>>71.7 miles The backpacker walks 71.7 miles each day. ### Answer: 71.7
Expected answer: 73
Correct? No
Problem: An alien sends a pulsating signal every 925 seconds. If the signal is organized into 37 equal pulses, how long is each pulse?
LLemma 7B:
Reasoning: 37/925 = <<37/925=0.04>>0.04 seconds. Each pulse is 0.04 seconds long. ### Answer: 0.04
Expected answer: 25
Correct? No
Problem: A dragon had collected a hoard of 3010 jewels over a period of 43 years. If he collected evenly throughout these years, how many jewels did he collect each year?
LLemma 7B:
Reasoning: 3010/43 = <<3010/43=70>>70 jewels each year. ### Answer: 70
Expected answer: 70
Correct? Yes
Problem: Let's consider that our dragon, instead of collecting 3010 jewels over 43 years, increased his hoard to 6402 jewels over the same period. If the dragon collected at an even pace throughout these years, how many jewels did he collect each year now?
LLemma 7B:
Reasoning: 6402/43 = <<6402/43=150>>150 jewels each year. ### Answer: 150
Expected answer: 6402/43
Correct? No
Problem: An alien spaceship sends out a pattern of 6699 signals over the course of 87 Earth days. If the spaceship sends the same number of signals each day, how many signals does it send daily?
LLemma 7B:
Reasoning: 6699/87 = <<6699/87=76>>76 signals per day. ### Answer: 76
Expected answer: 77
Correct? No
Problem: A water tank contains 2016 liters of water. It is designed to provide enough water for 28 days without replenishment. How much water does the tank provide per day?
LLemma 7B:
Reasoning: 2016/28 = <<2016/28=71>>71 liters per day. ### Answer: 71
Expected answer: 72
Correct? No
Problem: A toy company produced 4686 stuffed animals which were evenly distributed among 66 stores. If each store received the same number of stuffed toys, how many stuffed animals did each store receive?
LLemma 7B:
Reasoning: 4686/66 = <<4686/66=70>>70 Each store received 70 stuffed animals. ### Answer: 70
Expected answer: 71
Correct? No
Problem: A toy car company has 910 toy cars ready for selling and they want to pack them in boxes of 10. How many boxes will they need to pack all the toy cars?
LLemma 7B:
Reasoning: 910/10 = <<910/10=91>>91 boxes. They will need 91 boxes to pack all the toy cars. ### Answer: 91
Expected answer: 91
Correct? Yes
Problem: The toy car company now decides to package the 910 toy cars in larger boxes that can hold 538 cars each. How many boxes will they need now to pack all the toy cars?
LLemma 7B:
Reasoning: 910/538 = <<910/538=1.7>>1.7 boxes. They will need 1.7 boxes to pack all the toy cars. ### Answer: 1.7
Expected answer: 455/269
Correct? No
Problem: A juice factory produces 1333 bottles of juice and packs them evenly into 43 boxes. How many bottles of juice are there in each box?
LLemma 7B:
Reasoning: 1333/43 = <<1333/43=31>>31 bottles of juice in each box. ### Answer: 31
Expected answer: 31
Correct? Yes
Problem: If the juice factory decides to make less juice and only produces 423 bottles instead, still distributed evenly across the 43 boxes, how many bottles of juice would now be in each box?
LLemma 7B:
Reasoning: 423/43 = <<423/43=10>>10 bottles of juice in each box. ### Answer: 10
Expected answer: 423/43
Correct? No
Problem: A generous benefactor donated 741 gifts to a local charity. These gifts were evenly divided between 13 shelters. How many gifts did each shelter receive?
LLemma 7B:
Reasoning: Each shelter received 741/13 = <<741/13=57>>57 gifts. ### Answer: 57
Expected answer: 57
Correct? Yes
Problem: The benefactor decided to be even more generous and increased the number of gifts to 3697. If these additional gifts were also evenly divided between the 13 shelters, then how many gifts did each shelter receive now?
LLemma 7B:
Reasoning: Each shelter received 3697/13 = <<3697/13=283>>283 gifts. ### Answer: 283
Expected answer: 3697/13
Correct? No
Problem: A child makes a giant snowball with a volume of 528 cubic feet. The child uses the same amount of snow to make each of 16 smaller snowballs. What is the volume of each smaller snowball in cubic feet?
LLemma 7B:
Reasoning: The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball is the amount of snow it contains. The volume of a snowball
Expected answer: 33
Correct? No
Problem: A slide is 728 inches long and has evenly spaced waves every 56 inches. How many waves are there on the slide?
LLemma 7B:
Reasoning: 728/56 = <<728/56=12.8>>12.8 There are 12.8 waves on the slide. ### Answer: 12.8
Expected answer: 13
Correct? No