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?
InternLM-Math Base 7B:
Reasoning: 73841/41 = <<73841/41=1800.29268315>>1800.29268315 ### Answer: 1800.29268315
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?
InternLM-Math Base 7B:
Reasoning: 707/73528 = <<707/73528=0.009599>>0.009599 The company used 0.009599*73528 = <<0.009599*73528=700.8>>700.8 liters of juice in each container. ### Answer: 700.8
Expected answer: 104
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?
InternLM-Math Base 7B:
Reasoning: 87780/110 = <<87780/110=797.909090909091>>797.909090909091 pants.
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?
InternLM-Math Base 7B:
Reasoning: 71820/684 = <<71820/684=105>>105 ### Answer: 105
Expected answer: 105
Correct? Yes
Problem: Farmer Bob reconsiders and decides to increase the size of each bundle. If he now distributes his 71820 carrots into bundles of 2486 each, how many bundles will he have?
InternLM-Math Base 7B:
Reasoning: 71820/2486 = <<71820/2486=28.7>>28.7 ### Answer: 28.7
Expected answer: 35910/1243
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?
InternLM-Math Base 7B:
Reasoning: 85860/54 = <<85860/54=1590>>1590 The slide has been used 1590 times per day. ### Answer: 1590
Expected answer: 1590
Correct? Yes
Problem: After maintaining a consistent usage rate, the same slide has been used 9018 times over 54 consecutive days. Under this rate, how many times per day has the slide been used?
InternLM-Math Base 7B:
Reasoning: 9018/54 = <<9018/54=167>>167 The slide has been used 167 times per day. ### Answer: 167
Expected answer: 167
Correct? Yes
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?
InternLM-Math Base 7B:
Reasoning: 31950/225 = <<31950/225=141.6>>141.6 The ski resort receives 141.6 inches of snow each day.
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?
InternLM-Math Base 7B:
Reasoning: 63802/38 = <<63802/38=1680.6316>>1680.6316. The number of grams in each ring is 1680.6316/38 = <<1680.6316/38=44.3>>44.3.
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?
InternLM-Math Base 7B:
Reasoning: 60544/5504 = <<60544/5504=10.99>>10.99. The goldsmith can make 10 full rings.
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?
InternLM-Math Base 7B:
Reasoning: 10489/617 = <<10489/617=17.0>>17.0 ### Answer: 17.0
Expected answer: 17
Correct? Yes
Problem: Now consider that instead of 617 cages, the 10,489 animals are evenly distributed in 5130 cages. How does the average number of animals per cage change now?
InternLM-Math Base 7B:
Reasoning: 10489/5130 = <<10489/5130=2.0>>2.0 ### Answer: 2.0
Expected answer: 10489/5130
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?
InternLM-Math Base 7B:
Reasoning: 21652/5413 = <<21652/5413=4>>4 grams of carrots will be 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?
InternLM-Math Base 7B:
Reasoning: 5652/5413 = <<5652/5413=1>>1 gram of carrots will be 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?
InternLM-Math Base 7B:
Reasoning: 38745/5 = <<38745/5=7749>>7749 The spaceship travels 7749 miles in each of 5 equal stages. ### 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?
InternLM-Math Base 7B:
Reasoning: 38745/3113 = <<38745/3113=12.4>>12.4 The spaceship would have to travel 12.4 miles in each of 3113 equal stages. ### Answer: 12.4
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?
InternLM-Math Base 7B:
Reasoning: 84,564/261 = <<84,564/261=325.3>>325.3 liters. Each bottle contains <<325.3>>325.3 liters of water.
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?
InternLM-Math Base 7B:
Reasoning: 201*13467/201 = <<201*13467/201=13467>>13467 ### Answer: 13467
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?
InternLM-Math Base 7B:
You can use the following equation to find the number of BTU of energy the fireplace uses per hour: <<56888/2188=26.2>>26.2.
Expected answer: 26
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?
InternLM-Math Base 7B:
Reasoning: 36900/82 = <<36900/82=450>>450 The town received 450 inches of snow each 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?
InternLM-Math Base 7B:
Reasoning: 36900/7138 = <<36900/7138=5.16>>5.16 The town received 5.16 inches of snow each day. ### Answer: 5.16
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?
InternLM-Math Base 7B:
Reasoning: 71292/2742 = <<71292/2742=25.8>>25.8 Each giraffe is alloted 25.8 square kilometers. ### Answer: 25.8
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?
InternLM-Math Base 7B:
Reasoning: 96187/13 = 7375.15 ### Answer: 7375.15
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?
InternLM-Math Base 7B:
Reasoning: 32812/631 = <<32812/631=52.0>>52.0 Each friend will receive 52.0 <<52.0>> pearls.
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?
InternLM-Math Base 7B:
Reasoning: 32812/4198 = <<32812/4198=7.8>>7.8 Each friend will receive 7.8 <<7.8>> pearls.
Expected answer: 16406/2099
Correct? Yes
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?
InternLM-Math Base 7B:
Reasoning: 19 × 1924 = <<19 × 1924=19 × 2 × 2 × 3 × 3 × 7 × 7=19 × 2 × 2 × 3 × 3 × 7 × 7=2 × 2 × 3 × 3 × 7 × 7 × 7 × 7=2 × 2 × 3 × 3 × 7 × 7 × 7 × 7=2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7
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?
InternLM-Math Base 7B:
Reasoning: 63245/695 = <<63245/695=90.8>>90.8 miles ### Answer: 90.8
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?
InternLM-Math Base 7B:
Reasoning: 41772/708 = <<41772/708=59>>59 ### Answer: 59
Expected answer: 59
Correct? Yes
Problem: What if the same doll factory initially planned to produce the same total number of 41772 dolls, but now over a longer period of 4664 days? If so, how many dolls would have been produced daily then?
InternLM-Math Base 7B:
Reasoning: 41772/4664 = <<41772/4664=8.9>>8.9 ### Answer: 8.9
Expected answer: 10443/1166
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?
InternLM-Math Base 7B:
Reasoning: 61019/7 = <<61019/7=8732>>8732. The drummer will need to hit the drum 8732 times each day to meet his goal. ### Answer: 8732
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?
InternLM-Math Base 7B:
Answer: 768
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?
InternLM-Math Base 7B:
Reasoning: 1987/71532 = <<1987/71532=0.0277>>0.0277 The song was streamed 0.0277 <<0.0277*365=10.0>><<0.0277*365=10.0>>10 times per day on average. ### Answer: 10
Expected answer: 36
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?
InternLM-Math Base 7B:
Expected answer: 31
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?
InternLM-Math Base 7B:
Reasoning: 58 plots yielded 49822 carrots. So each plot yielded 49822/58 = <<49822/58=860>>860 carrots. ### Answer: 860
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?
InternLM-Math Base 7B:
Reasoning: The area of the original area is 8744/2 = <<8744/2=4372>>4372. The area of the revealed area is 4372/2 = <<4372/2=2186>>2186. The ratio of the revealed area to the original area is 2186/4372 = <<2186/4372=0.5>>0.5. ### Answer: 0.5
Expected answer: 1
Correct? No
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?
InternLM-Math Base 7B:
Reasoning: 97506/18 = <<97506/18=5409.0/9>>5409.0/9 = 6011.11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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?
InternLM-Math Base 7B:
You are a mathematics teacher that solves all problems correctly and explains your reasoning. Write your final answer in the last line of your response. The last line should always be formatted as follows: "### Answer: <<your final answer here.>>".
Expected answer: 12
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?
InternLM-Math Base 7B:
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?
InternLM-Math Base 7B:
Reasoning: 44280/216 = <<44280/216=204>>204 ### Answer: 204
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?
InternLM-Math Base 7B:
Reasoning: 77545/1193 = <<77545/1193=64.8...>>64.8... cookies ### Answer: 64.8
Expected answer: 65
Correct? No
Problem: A star emits 51750 units of light energy every 125 seconds. How much light energy does the star emit every second?
InternLM-Math Base 7B:
Reasoning: 51750/125 = <<51750/125=41.2>>41.2 The star emits 41.2 units of light energy every 125 seconds. ### Answer: 41.2
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?
InternLM-Math Base 7B:
Reasoning: 25144/56 = <<25144/56=450>>450 The factory made 450 candies each day.
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?
InternLM-Math Base 7B:
Reasoning: 34240/10 = <<34240/10=3424>>3424 ### 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?
InternLM-Math Base 7B:
Reasoning: 7638/10 = <<7638/10=763>>763 ### Answer: 763
Expected answer: 3819/5
Correct? No
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?
InternLM-Math Base 7B:
Reasoning: 20111/119 = <<20111/119=169>>169 ### Answer: 169
Expected answer: 169
Correct? Yes
Problem: The same forest ranger now considers a different area of the forest. This time, over a period of 119 days, he noticed that 6216 new trees had sprouted. If the same number of new trees sprouted each day, how many new trees sprouted each day in this different area of the forest?
InternLM-Math Base 7B:
Reasoning: 6216/119 = <<6216/119=52>>52 ### Answer: 52
Expected answer: 888/17
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?
InternLM-Math Base 7B:
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?
InternLM-Math Base 7B:
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?
InternLM-Math Base 7B:
Expected answer: 17
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?
InternLM-Math Base 7B:
Reasoning: 85560/713 = <<85560/713=120.8>>120.8 The factory makes 120.8 marshmallows in 1 hour. ### Answer: 120.8
Expected answer: 120
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?
InternLM-Math Base 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?
InternLM-Math Base 7B:
Reasoning: 49,928/23 = <<49,928/23=2,182>>2,182 There are 2,182 plots on the farm.
Expected answer: 49928/23
Correct? Yes
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?
InternLM-Math Base 7B:
Reasoning: 62118/2142 = <<62118/2142=28.8>>28.8 grams of flour were used to make cookies each day. ### Answer: 28.8
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?
InternLM-Math Base 7B:
Reasoning: 3644*2 = <<3644*2=7288>>7288 91100/7288 = <<91100/7288=12.5>>12.5 Each pair of shoes gets 12.5 centimeters of shoelace.
Expected answer: 25
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?
InternLM-Math Base 7B:
Reasoning: 505/5 = <<505/5=101>>101 Each bin contains 101 bushels of apples. ### 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?
InternLM-Math Base 7B:
Reasoning: 7798/5 = <<7798/5=1559.6>>1559.6 Each bin now contains 1559.6 bushels of apples. ### 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?
InternLM-Math Base 7B:
Reasoning: 65325/5025 = <<65325/5025=12.9>>12.9 ### Answer: 12.9
Expected answer: 13
Correct? No
Problem: A crayon factory produced 26691 crayons which are evenly distributed into 123 boxes. How many crayons are there in each box?
InternLM-Math Base 7B:
Reasoning: 26691/123 = <<26691/123=218>>218 ### Answer: 218
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?
InternLM-Math Base 7B:
Reasoning: 45843/413 = <<45843/413=111.8>>111.8 The firefighter unit extinguished 111.8 fires per week. ### Answer: 111.8
Expected answer: 111
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?
InternLM-Math Base 7B:
Reasoning: 57546/9591 = <<57546/9591=6.0>>6.0 ### Answer: 6.0
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?
InternLM-Math Base 7B:
Reasoning: 57546/131 = <<57546/131=440.0>>440.0 ### Answer: 440.0
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?
InternLM-Math Base 7B:
Reasoning: 4938/93822 = <<4938/93822=0.052525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525252525
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?
InternLM-Math Base 7B:
Reasoning: 40740/84 = <<40740/84=486>>486 ### Answer: 486
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?
InternLM-Math Base 7B:
Reasoning: 39482/38 = <<39482/38=1040.263158>>1040.263158 ### Answer: 1040.263158
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.
InternLM-Math Base 7B:
Reasoning: 67673/1147 = <<67673/1147=59>>59 square inches.
Expected answer: 59
Correct? Yes
Problem: If the large window instead spanned a smaller area of 7562 square inches, and it is still being divided into 1147 equally sized smaller squares, now what would be the area in square inches of each of these smaller squares?
InternLM-Math Base 7B:
Reasoning: 7562/1147 = <<7562/1147=6>>6 square inches.
Expected answer: 7562/1147
Correct? Yes
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?
InternLM-Math Base 7B:
Reasoning: 49,920/195 = <<49,920/195=255>>255 Each tree produces 255 oranges. ### Answer: 255
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?
InternLM-Math Base 7B:
You are correct.
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?
InternLM-Math Base 7B:
Reasoning: 3366/306 = <<3366/306=11.0>>11.0 You can brush your teeth 11.0 times with the tube of toothpaste. ### Answer: 11.0
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?
InternLM-Math Base 7B:
Reasoning: 9060/306 = <<9060/306=29.5>>29.5 You can brush your teeth 29.5 times with the tube of toothpaste. ### Answer: 29.5
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?
InternLM-Math Base 7B:
Reasoning: 49742/1309 = <<49742/1309=37.8>>37.8. The number of towels in each box is 37.8. ### Answer: 37.8
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?
InternLM-Math Base 7B:
Reasoning: 3318/43134 = <<3318/43134=0.0076>>0.0076 messages per day. ### Answer: 0.0076
Expected answer: 13
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?
InternLM-Math Base 7B:
Reasoning: 80,011/31 = <<80,011/31=2564/31=2564/31=82.8>>82.8 ### Answer: 82.8
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?
InternLM-Math Base 7B:
Reasoning: 54020/730 = <<54020/730=74>>74 ### Answer: 74
Expected answer: 74
Correct? Yes
Problem: After a successful marketing campaign, the camera store's sales increased, and they were able to sell 54020 cameras in just 5546 days. If they still sold the same number of cameras each day, how many cameras are now sold daily?
InternLM-Math Base 7B:
Reasoning: 54020/5546 = <<54020/5546=9>>9 ### Answer: 9
Expected answer: 27010/2773
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?
InternLM-Math Base 7B:
|
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?
InternLM-Math Base 7B:
Reasoning: 3412 buses â‹… <<3412 buses â‹… 85300 miles = 8,500,000>>8,500,000 miles ### Answer: 8,500,000
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?
InternLM-Math Base 7B:
Reasoning: 92250/75 = <<92250/75=1230>>1230 The wind turbine produces 1230 kilowatts of energy per hour.
Expected answer: 1230
Correct? Yes
Problem: If the same wind turbine instead generates a total of 5837 kilowatts of energy over the same 75 hours, how much energy does it now produce per hour?
InternLM-Math Base 7B:
Reasoning: 5837/75 = <<5837/75=78.2>>78.2 The wind turbine now produces 78.2 kilowatts of energy per hour.
Expected answer: 5837/75
Correct? Yes
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?
InternLM-Math Base 7B:
Reasoning: 3734/1867 = <<3734/1867=2.0>>2.0 ### Answer: 2.0
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?
InternLM-Math Base 7B:
Reasoning: 3734/1651 = <<3734/1651=2.0>>2.0 ### Answer: 2.0
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?
InternLM-Math Base 7B:
Reasoning: 8,383/33,532 = <<8,383/33,532=0.25>>0.25 The firefighter is releasing 0.25 liters of water per minute. ### Answer: 0.25
Expected answer: 4
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?
InternLM-Math Base 7B:
Reasoning: 20 chickens each contribute 96,120/20 = 4,806 eggs. ### Answer: 4,806
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?
InternLM-Math Base 7B:
Reasoning: 9,046 chickens each contribute 96,120/9,046 = 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?
InternLM-Math Base 7B:
Reasoning: 11458/17 = <<11458/17=672>>672 The town receives 672 millimeters of rain each day.
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?
InternLM-Math Base 7B:
Reasoning: 2526/842 = <<2526/842=3>>3 The factory produced 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?
InternLM-Math Base 7B:
Reasoning: 2526/547 = <<2526/547=4.6>>4.6 The factory would have produced 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?
InternLM-Math Base 7B:
Reasoning: 285/19 = <<285/19=15>>15 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?
InternLM-Math Base 7B:
Reasoning: 4681/19 = <<4681/19=247>>247 Each classroom gets 247 erasers. ### Answer: 247
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?
InternLM-Math Base 7B:
Reasoning: 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?
InternLM-Math Base 7B:
Reasoning: 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?
InternLM-Math Base 7B:
Reasoning: 576/63360 = <<576/63360=0.0090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090
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?
InternLM-Math Base 7B:
Reasoning: 21868/77 = <<21868/77=283.467532>>283.467532 Each store got 283.467532 skirts. ### Answer: 283.467532
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?
InternLM-Math Base 7B:
You are a mathematics teacher that solves all problems correctly and explains your reasoning. Write your final answer in the last line of your response. The last line should always be formatted as follows: "### Answer: <<your final answer here.>>".
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?
InternLM-Math Base 7B:
Reasoning: 59748/1149 = <<59748/1149=52>>52 ### 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?
InternLM-Math Base 7B:
Reasoning: 7117/1149 = <<7117/1149=6>>6 ### 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?
InternLM-Math Base 7B:
Reasoning: 44840/76 = <<44840/76=590.26>><<590.26>>590.26. Each house will get 590.26/76 = <<590.26/76=7.8>><<7.8>>7.8 liters of water. ### Answer: 7.8
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?
InternLM-Math Base 7B:
Reasoning: 5385/359 = <<5385/359=15.1>>15.1 eggs Natalia laid 15.1 eggs on each flower. ### Answer: 15.1
Expected answer: 15
Correct? No
Problem: A camera has a total of 95038 pixels divided evenly into 61 rows. How many pixels are there in each row?
InternLM-Math Base 7B:
Reasoning: 95038/61 = 1560.327869 ### Answer: 1560
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?
InternLM-Math Base 7B:
You are correct.
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?
InternLM-Math Base 7B:
Reasoning: 36135/219 = <<36135/219=165>>165 Each towel is 165 square inches of fabric. ### Answer: 165
Expected answer: 165
Correct? Yes
Problem: A fireplace burns 36300 kilojoules of energy in 4 hours. How much energy does it burn in one hour?
InternLM-Math Base 7B:
Reasoning: 36300/4 = <<36300/4=9075>>9075 The fireplace burns 9075 kilojoules of energy in 1 hour.
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?
InternLM-Math Base 7B:
Reasoning: 8712/4 = <<8712/4=2178>>2178 The fireplace burns 2178 kilojoules of energy in 1 hour.
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?
InternLM-Math Base 7B:
You have to divide 51156 by 9. 51156/9 = <<51156/9=5678>>5678. So, each team got 5678 kilograms of snow.
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?
InternLM-Math Base 7B:
Reasoning: 56250/30 = <<56250/30=1875>>1875 ### 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?
InternLM-Math Base 7B:
Reasoning: 56250/3028 = <<56250/3028=18.5>>18.5 ### Answer: 18.5
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?
InternLM-Math Base 7B:
Reasoning: 82992/1729 = <<82992/1729=48>>48 ### 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?
InternLM-Math Base 7B:
Reasoning: 8741/1729 = <<8741/1729=5>>5 ### Answer: 5
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?
InternLM-Math Base 7B:
|user| A map has a scale of 91368 centimeters representing 216 kilometers. How many centimeters on the map represent 1 kilometer in real life?
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?
InternLM-Math Base 7B:
Reasoning: 33536/131 = <<33536/131=256>>256 The fashion designer will use 256 beads for each section.
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?
InternLM-Math Base 7B:
Reasoning: 33536/3206 = <<33536/3206=10.5>>10.5 The fashion designer will use 10.5 beads for each section.
Expected answer: 16768/1603
Correct? Yes
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?
InternLM-Math Base 7B:
Reasoning: 69966/299 = <<69966/299=233>>233 gallons per minute.
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?
InternLM-Math Base 7B:
Reasoning: 2118/6354 = <<2118/6354=0.3332>>0.3332. 0.3332*6354 = <<0.3332*6354=2123.0128>>2123.0128. 6354-2123.0128 = <<6354-2123.0128=4231.0128>>4231.0128. ### Answer: 4231.0128
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?
InternLM-Math Base 7B:
Reasoning: 12288/512 = <<12288/512=24>>24. The frog jumps 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?
InternLM-Math Base 7B:
Reasoning: 9064/512 = <<9064/512=17.6>>17.6. The frog now jumps 17.6 centimeters per jump. ### Answer: 17.6
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?
InternLM-Math Base 7B:
Reasoning: 1392/116 = <<1392/116=12>>12 There are 12 flowers in each pot.
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?
InternLM-Math Base 7B:
Reasoning: 7275/116 = <<7275/116=63>>63 There are 63 flowers in each pot.
Expected answer: 7275/116
Correct? Yes
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?
InternLM-Math Base 7B:
Reasoning: 31,176/9 = <<31,176/9=3,467>>3,467 ### Answer: 3,467
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?
InternLM-Math Base 7B:
Reasoning: 14824/4 = <<14824/4=3706>>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?
InternLM-Math Base 7B:
Reasoning: 88,508/406 = <<88,508/406=218>>218. Each monkey would get 218 bananas. ### Answer: 218
Expected answer: 218
Correct? Yes
Problem: What if the sanctuary in the previous problem had only 9,073 bananas instead of 88,508? How many bananas would each monkey get then, if they still had to be split evenly among the 406 monkeys?
InternLM-Math Base 7B:
Reasoning: 9,073/406 = <<9,073/406=22>>22. Each monkey would get 22 bananas. ### Answer: 22
Expected answer: 9073/406
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?
InternLM-Math Base 7B:
Reasoning: 15110/2 = <<15110/2=7555>>7555 The hotel owner is ordering 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?
InternLM-Math Base 7B:
Reasoning: 3774/2 = <<3774/2=1887>>1887 The hotel owner is actually ordering 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?
InternLM-Math Base 7B:
Reasoning: 3560/890 = <<3560/890=4.0>>4.0 The hat maker can make 4.0<<4.0*1=4>>4 hats. ### 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?
InternLM-Math Base 7B:
Reasoning: 1416/890 = <<1416/890=1.6>>1.6 The hat maker can make 1.6<<1.6*1=1.6>>1.6 hats. ### 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?
InternLM-Math Base 7B:
Reasoning: 17394/3 = <<17394/3=5782>>5782 Each player has 5782 points. ### Answer: 5782
Expected answer: 5798
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?
InternLM-Math Base 7B:
Reasoning: 3276/126 = <<3276/126=26>>26 Each section has 26 acres.
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?
InternLM-Math Base 7B:
Reasoning: 139/126 = <<139/126=1.1>>1.1 Each section would have 1.1 acres.
Expected answer: 139/126
Correct? Yes
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?
InternLM-Math Base 7B:
Reasoning: 54736/11 = <<54736/11=4975.0909>>4975.09 yards of fabric are needed for each pair.
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?
InternLM-Math Base 7B:
Reasoning: 18 hours = 18*60 = 1080 minutes. 49716/1080 = <<49716/1080=46>>46 degrees. The clock rotates 46 degrees each hour. ### Answer: 46
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?
InternLM-Math Base 7B:
Reasoning: 1865/373 = <<1865/373=5>>5 ### 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?
InternLM-Math Base 7B:
Reasoning: 2542/373 = <<2542/373=6.8>>6.8 ### Answer: 6.8
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?
InternLM-Math Base 7B:
Reasoning: 30/30 = 1. 31470/1 = <<31470/1=31470>>31470. The bear travels 31470 feet each day. ### Answer: 31470
Expected answer: 1049
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?
InternLM-Math Base 7B:
Reasoning: 9636/44 = <<9636/44=218.18>>218.18 Each retailer received 218.18 <<9636/44=218.18>>pen units.
Expected answer: 219
Correct? No