Common Core Standard 5.NBT.B.7
This standard covers the following:
Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.
Problem: A full-grown giraffe has an average height of 40.4 feet. If a baby giraffe is 7.34 feet shorter than the full-grown giraffe, then how tall is the baby giraffe?
InternLM-Math Base 20B:
Reasoning: The height of the baby giraffe is 40.4-7.34 = <<40.4-7.34=33.06>>33.06 feet. ### Answer: 33.06
Expected answer: 33.0600000000000
Correct? Yes
Problem: Given the previous scenario but this time, let's say that the full-grown giraffe has a different height of 78 feet. If a baby giraffe is still 7.34 feet shorter than this full-grown giraffe, then how tall is the baby giraffe now?
InternLM-Math Base 20B:
Reasoning: The height of the baby giraffe is 78-7.34 = <<78-7.34=70.66>>70.66 feet. ### Answer: 70.66
Expected answer: 70.6600000000000
Correct? Yes
Problem: A scooter was initially priced at $59.9 but is now on sale for $39.3. How much is the discount on the scooter?
InternLM-Math Base 20B:
Reasoning: The difference between the original price and the sale price is the discount. The discount is $59.9 - $39.3 = <<59.9-39.3=20.6>>$20.6. ### Answer: $20.6
Expected answer: 20.6000000000000
Correct? Yes
Problem: The scooter store decided to multiply the discount you received, $j, by 15.1 to determine how much they'd donate to a local charity based on your purchase. How much money would be donated to the charity as a result of your scooter purchase?
InternLM-Math Base 20B:
Reasoning: The amount donated to the charity is 15.1 * $j = <<15.1*20.6=312.66>>$312.66. ### Answer: $312.66
Expected answer: 311.060000000000
Correct? No
Problem: If instead the scooter was initially priced at $66 before being discounted to $39.3, how much would be the discount on the scooter?
InternLM-Math Base 20B:
Reasoning: The difference between the original price and the sale price is the discount. The discount is $66 - $39.3 = <<66-39.3=26.7>>$26.7. ### Answer: $26.7
Expected answer: 26.7000000000000
Correct? Yes
Problem: The length of a slide was initially 71.36 meters. However, due to safety concerns, officials reduced the length by 50.0 meters. What's the new length of the slide?
InternLM-Math Base 20B:
Reasoning: The new length of the slide is 71.36 - 50.0 = <<71.36-50.0=21.36>>21.36 meters. ### Answer: 21.36
Expected answer: 21.3600000000000
Correct? Yes
Problem: In a different playground, there was also a slide that was initially 71.36 meters long. However, safety concerns caused the officials to reduce the length by 24 meters instead of the original 50.0 meters. What is the new length of this slide?
InternLM-Math Base 20B:
Reasoning: The new length of the slide is 71.36 - 24 = <<71.36-24=47.36>>47.36 meters. ### Answer: 47.36
Expected answer: 47.3600000000000
Correct? Yes
Problem: A farmer collects a certain weight of tomatoes from his farm. The first day he collects 86.7 kg and the second day he collects 57.19 kg. What is the total weight of the tomatoes he collected over the two days?
InternLM-Math Base 20B:
Reasoning: 86.7+57.19 = <<86.7+57.19=143.89>>143.89 ### Answer: 143.89
Expected answer: 143.890000000000
Correct? Yes
Problem: The farmer decides to make tomato sauce and uses up 81.0 kg of the tomatoes he collected. After processing those tomatoes into sauce, how much weight in tomatoes does he have left?
InternLM-Math Base 20B:
Reasoning: 143.89-81.0 = <<143.89-81.0=62.89>>62.89 ### Answer: 62.89
Expected answer: 62.8900000000000
Correct? Yes
Problem: If instead of 57.19 kg, the farmer actually collected 84 kg of tomatoes on the second day, what would be the new total weight of tomatoes he collected over the two days?
InternLM-Math Base 20B:
Reasoning: 86.7+84 = <<86.7+84=170.7>>170.7 ### Answer: 170.7
Expected answer: 170.700000000000
Correct? Yes
Problem: A farmer sold a total of 111.94 kilograms of tomatoes. If each batch he sold weighs roughly 2.9 kilograms, how many batches of tomatoes did he sell?
InternLM-Math Base 20B:
Reasoning: 111.94/2.9 = <<111.94/2.9=38.6>>38.6 batches of tomatoes were sold. ### Answer: 38.6
Expected answer: 38.6000000000000
Correct? Yes
Problem: Following his earlier sales, the farmer sold an additional 4.8 batches of tomatoes. Including the new sales, how many total batches of tomatoes has the farmer sold now?
InternLM-Math Base 20B:
Reasoning: 38.6+4.8 = <<38.6+4.8=43.4>>43.4 batches of tomatoes were sold. ### Answer: 43.4
Expected answer: 43.4000000000000
Correct? Yes
Problem: After recalculating, it turns out the farmer had actually sold 83 kilograms of tomatoes, not 111.94 kilograms, still in batches of 2.9 kilograms each. How many batches of tomatoes did he actually sell?
InternLM-Math Base 20B:
Reasoning: 83/2.9 = <<83/2.9=28.6>>28.6 batches of tomatoes were sold. ### Answer: 28.6
Expected answer: 28.6206896551724
Correct? Yes
Problem: A skirt was originally priced at $75.0 but it is now on sale and its new price is $37.5 less than the original price. What is the sale price of the skirt?
InternLM-Math Base 20B:
Reasoning: The skirt's new price is $75.0 - $37.5 = <<75.0-37.5=37.5>>$37.5. ### Answer: $37.5
Expected answer: 37.5000000000000
Correct? Yes
Problem: Instead of the original price being $75.0, assume that the original price of the skirt was $49. How much would the skirt cost after the first discount of $37.5?
InternLM-Math Base 20B:
Reasoning: The skirt's new price is $49 - $37.5 = <<49.0-37.5=11.5>>$11.5. ### Answer: $11.5
Expected answer: 11.5000000000000
Correct? Yes
Problem: On a farm, there are 35.9 acres of wheat fields and 11.5 acres of corn fields. What is the total acreage of wheat and corn fields on the farm?
InternLM-Math Base 20B:
Reasoning: 35.9+11.5 = <<35.9+11.5=47.4>>47.4 ### Answer: 47.4
Expected answer: 47.4000000000000
Correct? Yes
Problem: In addition to the existing wheat and corn fields, the farm has a newly acquired barley field that spans 7.16 acres. What is the total acreage of wheat, corn, and barley fields altogether on the farm now?
InternLM-Math Base 20B:
Reasoning: 35.9+11.5+7.16 = <<35.9+11.5+7.16=54.56>>54.56 ### Answer: 54.56
Expected answer: 54.5600000000000
Correct? Yes
Problem: Suppose instead of the 35.9 acres of wheat in the original calculation, the farm actually has 93 acres of wheat fields. Taking the updated acreage of wheat fields into account and keeping the 11.5 acres of corn fields the same, what would then be the total acreage of wheat and corn fields on the farm?
InternLM-Math Base 20B:
Reasoning: 93+11.5 = <<93+11.5=104.5>>104.5 ### Answer: 104.5
Expected answer: 104.500000000000
Correct? Yes
Problem: A tank contains 540.38 liters of water, which is divided between 65.9 buckets. Find out how many liters of water is in each bucket?
InternLM-Math Base 20B:
Reasoning: 540.38/65.9 = <<540.38/65.9=8.2>>8.2 There are 8.2 liters of water in each bucket. ### Answer: 8.2
Expected answer: 8.20000000000000
Correct? Yes
Problem: Following the previous problem, after filling each bucket, 2.4 liters of water is lost due to leakage. What would be the revised amount of water in each bucket?
InternLM-Math Base 20B:
Reasoning: 8.2-2.4 = <<8.2-2.4=5.8>>5.8 There are 5.8 liters of water in each bucket. ### Answer: 5.8
Expected answer: 5.80000000000000
Correct? Yes
Problem: Following the previous problem, suppose that instead of 65.9 buckets the water was divided into 33 buckets. How many liters of water would have been in each bucket under this new arrangement?
InternLM-Math Base 20B:
Reasoning: 540.38/33 = <<540.38/33=16.4>>16.4 There are 16.4 liters of water in each bucket. ### Answer: 16.4
Expected answer: 16.3751515151515
Correct? Yes
Problem: A TV is sold for $48.21 per month for 35.5 months. What is the total cost of the TV?
InternLM-Math Base 20B:
Reasoning: The total cost of the TV is 35.5 × $48.21 = <<35.5*48.21=1709.455>>$1709.46. ### Answer: $1709.46
Expected answer: 1711.45500000000
Correct? No
Problem: A UFO was spotted moving at a speed of 94.83 miles per hour, and then it increased its speed by an additional 2.63 miles per hour. What was the new speed of the UFO?
InternLM-Math Base 20B:
Reasoning: The UFO's new speed was 94.83+2.63 = <<94.83+2.63=97.46>>97.46 miles per hour. ### Answer: 97.46
Expected answer: 97.4600000000000
Correct? Yes
Problem: After increasing its speed, the UFO maintained its new speed for 52.9 hours. How many miles did the UFO travel at its new speed?
InternLM-Math Base 20B:
Reasoning: The UFO traveled 97.46*52.9 = <<97.46*52.9=5163.634>>5163.634 miles at its new speed. ### Answer: 5163.634
Expected answer: 5155.63400000000
Correct? No
Problem: Suppose that the UFO was originally moving at a speed of 94.83 mph, but then it increased its speed by 72 mph instead of 2.63 mph. What would its new speed be now?
InternLM-Math Base 20B:
Reasoning: The UFO's new speed would be 94.83+72 = <<94.83+72=166.83>>166.83 miles per hour. ### Answer: 166.83
Expected answer: 166.830000000000
Correct? Yes
Problem: If a monkey can swing 80.48 meters in one second and it continues to swing at this speed for 73.9 seconds, how far will the monkey have swung in total?
InternLM-Math Base 20B:
Reasoning: 80.48 × 73.9 = <<80.48*73.9=5942.072>>5942.072 The monkey will have swung 5942.072 meters in total. ### Answer: 5942.072
Expected answer: 5947.47200000000
Correct? No
Problem: A strong wind travels a total of 2250.3 km over a period of 57.7 hours. How many kilometers does the wind cover in each hour?
InternLM-Math Base 20B:
Reasoning: 2250.3/57.7 = <<2250.3/57.7=38.9>>38.9 The wind covers 38.9 km in each hour. ### Answer: 38.9
Expected answer: 39.0000000000000
Correct? No
Problem: A Penguin swam 95.34 kilometers to the east and then swam another 41.6 kilometers in the same direction. What is the total distance that the Penguin swam?
InternLM-Math Base 20B:
Reasoning: The Penguin swam 95.34+41.6 = <<95.34+41.6=136.94>>136.94 kilometers. ### Answer: 136.94
Expected answer: 136.940000000000
Correct? Yes
Problem: After swimming 95.34 kilometers to the east and another 41.6 kilometers in the same direction, the Penguin continued its journey and swam an additional 97.85 kilometers. What is the total distance that the Penguin swam?
InternLM-Math Base 20B:
Reasoning: The Penguin swam 95.34+41.6+97.85 = <<95.34+41.6+97.85=234.79>>234.79 kilometers. ### Answer: 234.79
Expected answer: 234.790000000000
Correct? Yes
Problem: Suppose instead of swimming 95.34 kilometers to the east initially, the penguin only swam 12 kilometers before continuing for another 41.6 kilometers in the same direction. How much distance would the penguin have covered in this scenario?
InternLM-Math Base 20B:
Reasoning: The penguin would have swum 12+41.6 = <<12+41.6=53.6>>53.6 kilometers. ### Answer: 53.6
Expected answer: 53.6000000000000
Correct? Yes
Problem: A park installs a new slide that is 86.42 feet long. After it is extended by another 9.86 feet, how long is the slide then?
InternLM-Math Base 20B:
Reasoning: 86.42+9.86 = <<86.42+9.86=96.28>>96.28 ### Answer: 96.28
Expected answer: 96.2800000000000
Correct? Yes
Problem: In the park, there is another identical slide next to the first one which also gets extended by the same 9.86 feet. After this extension, what is the total length of the two slides put together?
InternLM-Math Base 20B:
Reasoning: 2*86.42+2*9.86 = <<2*86.42+2*9.86=192.56>>192.56 ### Answer: 192.56
Expected answer: 192.560000000000
Correct? Yes
Problem: Suppose the park decided to make an alteration to the plan and instead wanted to extend the slide by 81 feet rather than 9.86 feet. How long would the slide be after this extension?
InternLM-Math Base 20B:
Reasoning: 86.42+81 = <<86.42+81=167.42>>167.42 ### Answer: 167.42
Expected answer: 167.420000000000
Correct? Yes
Problem: Throughout the month, an ice cream shop sold 1878.8 gallons of ice cream in 44.0 equally profitable days. How many gallons of ice cream did they sell each day?
InternLM-Math Base 20B:
Reasoning: The ice cream shop sold 1878.8/44.0 = <<1878.8/44.0=42.9363>>42.9363 gallons of ice cream each day. ### Answer: 42.9363
Expected answer: 42.7000000000000
Correct? No
Problem: A book has a total character count of 1540.93 characters and each word takes up about 22.3 characters. How many words should there be in the book?
InternLM-Math Base 20B:
Reasoning: 1540.93/22.3 = <<1540.93/22.3=68.9>>68.9 There should be 68.9 words in the book. ### Answer: 68.9
Expected answer: 69.1000000000000
Correct? No
Problem: A pair of ice skates costs $81.66, and you decide to buy a set of skate guards for an additional $54.6. What is the total cost of the ice skates combined with the skate guards?
InternLM-Math Base 20B:
Reasoning: The total cost of the ice skates combined with the skate guards is $81.66+$54.6 = <<81.66+54.6=136.26>>136.26. ### Answer: 136.26
Expected answer: 136.260000000000
Correct? Yes
Problem: After buying the ice skates and skate guards, you decide to take advantage of a special offer that gives you a discount of $46.83. What would be your new total cost after this discount is applied?
InternLM-Math Base 20B:
Reasoning: Your new total cost after the discount is applied is $136.26-$46.83 = <<136.26-46.83=89.43>>89.43. ### Answer: 89.43
Expected answer: 89.4300000000000
Correct? Yes
Problem: Suppose instead of the original pair of ice skates costing $81.66, you found a different pair on sale for only $25. If you still buy the skate guards for an additional $54.6, what would be the total cost of these discounted ice skates combined with the skate guards?
InternLM-Math Base 20B:
Reasoning: The total cost of the discounted ice skates combined with the skate guards is $25+$54.6 = <<25+54.6=79.6>>79.6. ### Answer: 79.6
Expected answer: 79.6000000000000
Correct? Yes
Problem: A farmer harvests 36.0 kilograms of strawberries from his strawberry farm. After selling some, he has 22.6 kilograms left. How many kilograms of strawberries did he sell?
InternLM-Math Base 20B:
Reasoning: The farmer sold 36.0-22.6 = <<36.0-22.6=13.4>>13.4 kilograms of strawberries. ### Answer: 13.4
Expected answer: 13.4000000000000
Correct? Yes
Problem: If originally, the farmer had harvested 36.0 kilograms of strawberries and now instead, he sold 12 kilograms of strawberries. How many kilograms of strawberries does he have left now?
InternLM-Math Base 20B:
Reasoning: The farmer has 36.0-12 = <<36.0-12=24>>24 kilograms of strawberries left. ### Answer: 24
Expected answer: 24.0000000000000
Correct? Yes
Problem: A pillow originally costs $22.88 but is on sale. After the discount, the price is reduced to $14.2. What is the amount of the discount?
InternLM-Math Base 20B:
Reasoning: The difference between the original price and the discounted price is the amount of the discount. 22.88-14.2 = <<22.88-14.2=8.68>>8.68 ### Answer: 8.68
Expected answer: 8.68000000000000
Correct? Yes
Problem: Consider the same scenario but with a different original cost. If the pillow originally cost $72 instead of $22.88 and its price is reduced to $14.2 after a sale, what would be the amount of the discount now?
InternLM-Math Base 20B:
Reasoning: The difference between the original price and the discounted price is the amount of the discount. 72-14.2 = <<72-14.2=57.8>>57.8 ### Answer: 57.8
Expected answer: 57.8000000000000
Correct? Yes
Problem: A bunch of bananas originally weighed 77.8 grams. After removing the peel, which weighed 7.0 grams, what is the new weight of the bananas?
InternLM-Math Base 20B:
Reasoning: 77.8-7.0 = <<77.8-7.0=70.8>>70.8 ### Answer: 70.8
Expected answer: 70.8000000000000
Correct? Yes
Problem: In the initial situation, the bunch of bananas weighed 79 grams instead of 77.8 grams. After removing the peel, which weighed 7.0 grams as before, what would be the new weight of the bananas this time?
InternLM-Math Base 20B:
Reasoning: 79-7.0 = <<79-7.0=72>>72 ### Answer: 72
Expected answer: 72.0000000000000
Correct? Yes
Problem: Each page in a book has 15.18 words and the book has a total of 24.0 pages. How many words does the book contain in total?
InternLM-Math Base 20B:
Reasoning: The book has 15.18*24.0 = <<15.18*24.0=364.32>>364.32 words in total. ### Answer: 364.32
Expected answer: 364.320000000000
Correct? Yes
Problem: Following up on our previous question about the book with 15.18 words per page and 24.0 pages, if 45.7 words were removed from the book for editing, how many words does the book contain now?
InternLM-Math Base 20B:
Reasoning: The book has 364.32-45.7 = <<364.32-45.7=318.62>>318.62 words in total. ### Answer: 318.62
Expected answer: 318.620000000000
Correct? Yes
Problem: Let's revisit the book situation again. What if, initially, each page in the book had 30 words instead of 15.18, and the book still had 24.0 pages. How many words would the book contain in that case?
InternLM-Math Base 20B:
Reasoning: The book would have 30*24.0 = <<30*24.0=720>>720 words in total. ### Answer: 720
Expected answer: 720.000000000000
Correct? Yes
Problem: A camera company spent $530.12 to produce 5.8 identical cameras. How much does the company spend to manufacture each camera?
InternLM-Math Base 20B:
Reasoning: The company spent $530.12 to produce 5.8 cameras. The company spent $530.12/5.8 = <<530.12/5.8=91.0465>>$91.0465 to produce each camera. ### Answer: $91.0465
Expected answer: 91.4000000000000
Correct? No
Problem: A toy car model is 22.64 cm long. If one centimeter represents an actual length of 86.4 cm on the real car, what is the length of the actual car in centimeters?
InternLM-Math Base 20B:
Reasoning: 22.64 cm represents 86.4 cm on the real car. 22.64 cm represents <<22.64*86.4=1943.296>>1943.296 cm on the real car. ### Answer: 1943.296
Expected answer: 1956.09600000000
Correct? No
Problem: Two kids are playing in a sandbox. The first kid pours 43.21 pounds of sand on their sandcastle, and the second kid adds 19.57 pounds of sand. How much does the sand on the sandcastle weigh in total?
InternLM-Math Base 20B:
Reasoning: 43.21+19.57 = <<43.21+19.57=62.78>>62.78 ### Answer: 62.78
Expected answer: 62.7800000000000
Correct? Yes
Problem: After the kids added sand to their sandcastle, they decided to make it even bigger. They multiplied the original weight of the sand by 46.6. What is the total weight of the sand in the sandcastle after their addition?
InternLM-Math Base 20B:
Reasoning: 62.78*46.6 = <<62.78*46.6=2917.948>>2917.948 ### Answer: 2917.948
Expected answer: 2925.54800000000
Correct? No
Problem: An online sock retailer has just checked their inventory and found that they have a total of 5600.48 meters of materials left. If it takes 98.6 meters of material to make one pair of socks, how many pairs of socks can they make with the amount of material they have left?
InternLM-Math Base 20B:
Reasoning: 5600.48/98.6 = <<5600.48/98.6=56.8>>56.8 The retailer can make 56.8 pairs of socks with the amount of material they have left. ### Answer: 56.8
Expected answer: 56.8000000000000
Correct? Yes
Problem: Suppose the retailer has recalculated his inventory and found that they have made an error in their initial calculation. In actuality, it only takes 27 meters of material to make one pair of socks instead of 98.6 meters. How many pairs of socks can they now make with the corrected amount of material?
InternLM-Math Base 20B:
Reasoning: 5600.48/27 = <<5600.48/27=207.8>>207.8 The retailer can make 207.8 pairs of socks with the corrected amount of material. ### Answer: 207.8
Expected answer: 207.425185185185
Correct? Yes
Problem: The distance from the Earth to the Sun changes over the course of the year. On a particular day, an observatory measures the distance to be 56.14 million kilometers. They notice an increase in the following day by 15.25 million kilometers. How far is the Earth from the Sun on the second day in millions of kilometers?
InternLM-Math Base 20B:
Reasoning: The distance to the Sun on the second day is 56.14+15.25 = <<56.14+15.25=71.39>>71.39 million kilometers. ### Answer: 71.39
Expected answer: 71.3900000000000
Correct? Yes
Problem: As a follow-up to the previous problem, suppose that a space probe needs to use 50.03 kilograms of fuel for every million kilometers it travels towards the sun. If it starts its journey on the second day, how many kilograms of fuel will it need to reach the Sun?
InternLM-Math Base 20B:
Reasoning: The space probe needs 71.39*50.03 = <<71.39*50.03=3577.0117>>3577.0117 kilograms of fuel to reach the Sun. ### Answer: 3577.0117
Expected answer: 3571.64170000000
Correct? No
Problem: As a follow up to the previous problem, suppose that instead of the initial distance being 56.14 million kilometers, the Earth was initially 60 million kilometers far from the Sun. After increasing by 15.25 million kilometers, what would be the distance from Earth to the Sun on the following day, in millions of kilometers?
InternLM-Math Base 20B:
Reasoning: The distance to the Sun on the second day is 60+15.25 = <<60+15.25=75.25>>75.25 million kilometers. ### Answer: 75.25
Expected answer: 75.2500000000000
Correct? Yes
Problem: The temperature in the cloud layer dropped from 92.5 degrees Fahrenheit to 57.07 degrees Fahrenheit. How much did the temperature change?
InternLM-Math Base 20B:
Reasoning: 92.5-57.07 = <<92.5-57.07=35.43>>35.43 ### Answer: 35.43
Expected answer: 35.4300000000000
Correct? Yes
Problem: Suppose that for each degree drop in temperature, the cloud loses 97.29 liters of water vapor. How much water vapor would the cloud lose given the temperature change from the previous question?
InternLM-Math Base 20B:
Reasoning: 35.43*97.29 = <<35.43*97.29=3450.8147>>3450.8147 ### Answer: 3450.8147
Expected answer: 3446.98470000000
Correct? No
Problem: Suppose that instead of dropping from 92.5 degrees Fahrenheit, the temperature in the cloud layer had dropped from 87 degrees Fahrenheit. How much would the temperature change be in this situation?
InternLM-Math Base 20B:
Reasoning: 87-57.07 = <<87-57.07=29.93>>29.93 ### Answer: 29.93
Expected answer: 29.9300000000000
Correct? Yes
Problem: A Giraffe walks 42.53 miles to the north in the morning then it walks another 28.9 miles to the east in the afternoon. What is the total distance the Giraffe walked in miles?
InternLM-Math Base 20B:
Reasoning: The total distance the Giraffe walked is 42.53+28.9 = <<42.53+28.9=71.43>>71.43 miles. ### Answer: 71.43
Expected answer: 71.4300000000000
Correct? Yes
Problem: After the giraffe walks 42.53 miles to the north in the morning and 28.9 miles to the east in the afternoon, it then retraces 60.5 miles back towards its starting point. How many miles is the giraffe from its starting point now?
InternLM-Math Base 20B:
Reasoning: The giraffe is 71.43-60.5 = <<71.43-60.5=10.93>>10.93 miles from its starting point. ### Answer: 10.93
Expected answer: 10.9300000000000
Correct? Yes
Problem: If the giraffe had walked 42.53 miles to the north in the morning and then 57 miles to the east in the afternoon instead of 28.9, how many miles in total would the giraffe have walked?
InternLM-Math Base 20B:
Reasoning: The total distance the Giraffe walked is 42.53+57 = <<42.53+57=99.53>>99.53 miles. ### Answer: 99.53
Expected answer: 99.5300000000000
Correct? Yes
Problem: In a children's sandbox, there are 90.74 kilograms of sand on one side and 95.27 kilograms of sand on the other side. What is the total weight of sand in the sandbox?
InternLM-Math Base 20B:
Reasoning: 90.74+95.27 = <<90.74+95.27=185.01>>185.01 ### Answer: 185.01
Expected answer: 186.010000000000
Correct? No
Problem: A train ticket costs $14.15 and the cost of a meal on the train is $95.07. How much does it cost in total to buy the ticket and eat the meal?
InternLM-Math Base 20B:
Reasoning: The total cost is $14.15+$95.07 = <<14.15+95.07=109.22>>$109.22. ### Answer: $109.22
Expected answer: 109.220000000000
Correct? Yes
Problem: A train ticket costs $14.15 and the cost of a meal on the train is $95.07. After your meal, you decide to buy a cool souvenir train mug for $4.02. How much would it cost in total for the train ticket, meal, and souvenir mug?
InternLM-Math Base 20B:
Reasoning: The total cost is $14.15+$95.07+$4.02 = <<14.15+95.07+4.02=113.24>>$113.24. ### Answer: $113.24
Expected answer: 113.240000000000
Correct? Yes
Problem: The train ticket originally costs $14.15, and in this follow-up question, we're considering what happens if the meal cost is changed to $59. Now, how much is the total cost for the ticket and the meal?
InternLM-Math Base 20B:
Reasoning: The total cost is $14.15+$59 = <<14.15+59=73.15>>$73.15. ### Answer: $73.15
Expected answer: 73.1500000000000
Correct? Yes
Problem: One of your friends spends 56.1 dollars every day. In 91.13 days, how much total will your friend have spent?
InternLM-Math Base 20B:
Reasoning: 56.1 × 91.13 = <<56.1*91.13=5104.693>>5104.693 Your friend will have spent 5104.693 dollars in 91.13 days. ### Answer: 5104.693
Expected answer: 5112.39300000000
Correct? No
Problem: Tom wrote 86.7 letters to his friends in one year, and he wrote 17.1 letters to his family throughout the same year. In total, how many letters did Tom write in that year?
InternLM-Math Base 20B:
Reasoning: Tom wrote 86.7+17.1 = <<86.7+17.1=103.8>>103.8 letters in that year. ### Answer: 103.8
Expected answer: 103.800000000000
Correct? Yes
Problem: The average distance from the Earth to the Moon is 44.7 million kilometers. If another celestial body is 16.09 million kilometers closer to Earth than the Moon, what is the average distance from Earth to this celestial body in million kilometers?
InternLM-Math Base 20B:
Reasoning: 44.7 - 16.09 = <<44.7-16.09=28.61>>28.61 ### Answer: 28.61
Expected answer: 28.6100000000000
Correct? Yes
Problem: A scientist views a galaxy far away through her binoculars. The distance measured is 4299.12 light years and she views it over 85.3 different scopes. What is the approximate distance in light years that she sees through each scope?
InternLM-Math Base 20B:
Reasoning: 4299.12/85.3 = <<4299.12/85.3=50.6>>50.6 ### Answer: 50.6
Expected answer: 50.4000000000000
Correct? Yes
Problem: Following the viewing of the galaxy, the scientist decides to amplify her binocular lens, multiplying the viewing scope by 5.21 times. What is the new approximate distance in light years that she can view through each scope after amplification?
InternLM-Math Base 20B:
Reasoning: 50.6*5.21 = <<50.6*5.21=263.9>>263.9 ### Answer: 263.9
Expected answer: 262.584000000000
Correct? No
Problem: Following her studies, the scientist decides to adjust her binoculars to view the galaxy through only 65 different scopes instead of the previous 85.3. If the total distance remains the same, 4299.12 light years, what is the new approximate distance in light years that she sees through each scope?
InternLM-Math Base 20B:
Reasoning: 4299.12/65 = <<4299.12/65=66.3>>66.3 ### Answer: 66.3
Expected answer: 66.1403076923077
Correct? Yes
Problem: A water company has 1774.46 cubic meters of water, which needs to be divided equally into 28.9 storage tanks. How many cubic meters of water will each tank contain?
InternLM-Math Base 20B:
Reasoning: 1774.46/28.9 = <<1774.46/28.9=61.3>>61.3 Each tank will contain 61.3 cubic meters of water. ### Answer: 61.3
Expected answer: 61.4000000000000
Correct? Yes
Problem: Originally, the water company decided to divide the 1774.46 cubic meters of water between 28.9 storage tanks. However, it later decides to evenly distribute the water among 46 tanks instead. How many cubic meters of water will each tank contain under this new distribution plan?
InternLM-Math Base 20B:
Reasoning: 1774.46/46 = <<1774.46/46=38.4>>38.4 Each tank will contain 38.4 cubic meters of water. ### Answer: 38.4
Expected answer: 38.5752173913043
Correct? Yes
Problem: A star's observed magnitude brightness is modified by 4.7 units when its intrinsic brightness is 96.46 units. What is the total magnitude brightness of the star when the modifications are added?
InternLM-Math Base 20B:
Reasoning: The total magnitude brightness of the star is 96.46+4.7 = <<96.46+4.7=101.16>>101.16 units. ### Answer: 101.16
Expected answer: 101.160000000000
Correct? Yes
Problem: After the modifications, the star's magnitude brightness is multiplied by a factor of 96.1 due to interference from the earth's atmosphere. What is the value of the star's final observed brightness after being adjusted for atmospheric interference?
InternLM-Math Base 20B:
Reasoning: The star's final observed brightness is 101.16*96.1 = <<101.16*96.1=9725.976>>9725.976 units. ### Answer: 9725.976
Expected answer: 9721.47600000000
Correct? No
Problem: Suppose the star's observed magnitude brightness was modified by 54 units instead of 4.7 units, keeping its intrinsic brightness the same at 96.46 units. What would be the total magnitude brightness of the star then when these modifications are added?
InternLM-Math Base 20B:
Reasoning: The total magnitude brightness of the star is 96.46+54 = <<96.46+54=150.46>>150.46 units. ### Answer: 150.46
Expected answer: 150.460000000000
Correct? Yes
Problem: A large blanket has a total area of 175.56 square feet and is rectangular. If the length of the blanket is 46.2 feet, what is the width in feet?
InternLM-Math Base 20B:
Reasoning: The width of the blanket is 175.56/46.2 = <<175.56/46.2=3.8>>3.8 feet. ### Answer: 3.8
Expected answer: 3.80000000000000
Correct? Yes
Problem: If a smaller blanket has a width of 94.35 feet, what would be the total width in feet if you laid the large and small blankets side by side?
InternLM-Math Base 20B:
Reasoning: The total width of the blankets is 3.8+94.35 = <<3.8+94.35=98.15>>98.15 feet. ### Answer: 98.15
Expected answer: 98.1500000000000
Correct? Yes
Problem: If the large blanket actually had a total area of 86 square feet instead of 175.56 while keeping the length identical at 46.2 feet, what would be the new width in feet?
InternLM-Math Base 20B:
Reasoning: The width of the blanket is 86/46.2 = <<86/46.2=1.86>>1.86 feet. ### Answer: 1.86
Expected answer: 1.86147186147186
Correct? Yes
Problem: A candy store has 23.4 kilos of strawberry flavored candy and decides to add 98.1 kilos of the same flavor. How many kilos of strawberry flavored candy does the store have now?
InternLM-Math Base 20B:
Reasoning: The store has 23.4+98.1 = <<23.4+98.1=121.5>>121.5 kilos of strawberry flavored candy now. ### Answer: 121.5
Expected answer: 121.500000000000
Correct? Yes
Problem: A window maker is creating a custom rectangular glass pane. If the length is 71.4 cm and the width is 54.58 cm, what is the total area of the window pane in cm²?
InternLM-Math Base 20B:
Reasoning: The total area of the window pane is 71.4 × 54.58 = <<71.4*54.58=3890.412>>3890.412 cm². ### Answer: 3890.412
Expected answer: 3897.01200000000
Correct? No
Problem: A firefighter uses 37.7 liters of water to extinguish a small fire, then uses additional 85.93 liters to cool down the area, thereby preventing another potential fire. How many liters of water has the firefighter used in total?
InternLM-Math Base 20B:
Reasoning: The firefighter used 37.7+85.93 = <<37.7+85.93=123.63>>123.63 liters of water in total. ### Answer: 123.63
Expected answer: 123.630000000000
Correct? Yes
Problem: After successfully handling the small fire, the firefighter then moves on to control a medium fire, using an additional 46.61 liters of water. How many liters of water has the firefighter used in total?
InternLM-Math Base 20B:
Reasoning: The firefighter used 123.63+46.61 = <<123.63+46.61=170.24>>170.24 liters of water in total. ### Answer: 170.24
Expected answer: 170.240000000000
Correct? Yes
Problem: Suppose the firefighter initially used 92 liters of water to extinguish the small fire instead of 37.7 liters, but still uses an additional 85.93 liters to cool down the area. How many liters of water has the firefighter used in total now?
InternLM-Math Base 20B:
Reasoning: The firefighter used 92+85.93 = <<92+85.93=177.93>>177.93 liters of water in total. ### Answer: 177.93
Expected answer: 177.930000000000
Correct? Yes
Problem: A chocolate factory makes 98.3 pounds of a special kind of chocolate in an hour. In 44.2 hours, how many pounds of chocolate does the factory produce?
InternLM-Math Base 20B:
Reasoning: 44.2 × 98.3 = <<44.2*98.3=4352.86>>4352.86 The factory produces 4352.86 pounds of chocolate in 44.2 hours. ### Answer: 4352.86
Expected answer: 4344.86000000000
Correct? No
Problem: Over the course of a winter season, a total of 509.39 inches of snowfall was measured. If each snowfall measured 38.3 inches, how many snowfalls were there during the season?
InternLM-Math Base 20B:
Reasoning: 509.39/38.3 = <<509.39/38.3=13.2>>13.2 There were 13 snowfalls during the season. ### Answer: 13
Expected answer: 13.3000000000000
Correct? Yes
Problem: Following the last snow season, the weather department is predicting that the upcoming season will have double the number of snowfalls as the previous season. If the previous season had a certain number of snowfalls, each measuring 38.3 inches for a total of 509.39 inches, how many snowfalls are expected in the upcoming winter season?
InternLM-Math Base 20B:
Reasoning: 509.39/38.3 = <<509.39/38.3=13.2>>13.2 There were 13 snowfalls during the previous season. ### Answer: 13
Expected answer: 26.6000000000000
Correct? No
Problem: In retrospect, the Met Office revised their measurements for the previous winter season. Instead of a total of 509.39 inches of snowfall, there were only 83 inches, still with each snowfall measuring 38.3 inches. With that in mind, how many snowfalls were there truly last winter season?
InternLM-Math Base 20B:
Reasoning: 83/38.3 = <<83/38.3=2.2>>2.2 There were 2 snowfalls during the season. ### Answer: 2
Expected answer: 2.16710182767624
Correct? Yes
Problem: A clock measures 85.44 cm in overall height. The base of the clock takes up 1.58 cm of this height. How tall is the main body of the clock without the base?
InternLM-Math Base 20B:
Reasoning: The main body of the clock is 85.44-1.58 = <<85.44-1.58=83.86>>83.86 cm tall. ### Answer: 83.86
Expected answer: 83.8600000000000
Correct? Yes
Problem: Following from the previous question, let's consider a smaller clock that initially measures 6 cm in height. If it also has a base of 1.58 cm that is removed, what would be the height of the main body of this smaller clock without the base?
InternLM-Math Base 20B:
Reasoning: The main body of the smaller clock is 6-1.58 = <<6-1.58=4.42>>4.42 cm tall. ### Answer: 4.42
Expected answer: 4.42000000000000
Correct? Yes
Problem: To make a large batch of hot chocolate, you use 3.91 ounces of cocoa powder per cup. If you are making 12.7 cups of hot chocolate, how much cocoa powder will you need?
InternLM-Math Base 20B:
Reasoning: 3.91 × 12.7 = <<3.91*12.7=49.657>>49.657 You will need 49.657 ounces of cocoa powder. ### Answer: 49.657
Expected answer: 49.6570000000000
Correct? Yes
Problem: Following up from the previous hot chocolate problem: after adjusting your recipe, you realize that you actually need 8 ounces of cocoa powder per cup instead of the originally planned 3.91 ounces. If you are making 12.7 cups of hot chocolate, how much cocoa will you need now?
InternLM-Math Base 20B:
Reasoning: 8 × 12.7 = <<8*12.7=101.6>>101.6 You will need 101.6 ounces of cocoa powder. ### Answer: 101.6
Expected answer: 101.600000000000
Correct? Yes
Problem: A toy car started with a speed of 98.9 cm/s. After 1 second, its speed reduced to 28.0 cm/s. What was the change in the toy car's speed?
InternLM-Math Base 20B:
Reasoning: The toy car's speed changed from 98.9 cm/s to 28.0 cm/s. The change in the toy car's speed is 98.9 - 28.0 = <<98.9-28.0=70.9>>70.9 cm/s. ### Answer: 70.9
Expected answer: 70.9000000000000
Correct? Yes
Problem: Following up on the previous problem, the toy car runs on a battery that drains power proportional to the change in its speed per second. The rate is 24.8 mAh for each cm/s change in speed. How much power would the battery have drained in 1 second due to the speed change?
InternLM-Math Base 20B:
Reasoning: The change in the toy car's speed is 70.9 cm/s. The battery drains 24.8 mAh for each cm/s change in speed. The battery drains 24.8 * 70.9 = <<24.8*70.9=1788.32>>1788.32 mAh for the change in speed. ### Answer: 1788.32
Expected answer: 1758.32000000000
Correct? No
Problem: In the previous scenario, if the toy car's speed after 1 second was modified to 29 cm/s instead of 28.0 cm/s, what would be the new change in the toy car's speed?
InternLM-Math Base 20B:
Reasoning: The toy car's speed changed from 98.9 cm/s to 29.0 cm/s. The change in the toy car's speed is 98.9 - 29.0 = <<98.9-29.0=69.9>>69.9 cm/s. ### Answer: 69.9
Expected answer: 69.9000000000000
Correct? Yes
Problem: A turtle travels at a speed of 23.0 km/h. How far will the turtle go in 46.7 hours?
InternLM-Math Base 20B:
Reasoning: 23.0 km/h * 46.7 h = <<23.0*46.7=1081.1>>1081.1 km ### Answer: 1081.1 km
Expected answer: 1074.10000000000
Correct? No
Problem: A lion hunter observes two prides in the savannah. He counts 25.5 lions in one pride and 29.9 lions in the other pride (counting half a lion if the lion is a cub). How many lions (including cubs as half) did the lion hunter count in total?
InternLM-Math Base 20B:
Reasoning: The lion hunter counted 25.5+29.9 = <<25.5+29.9=55.4>>55.4 lions in total. ### Answer: 55.4
Expected answer: 55.4000000000000
Correct? Yes
Problem: Following the previous question, the lion hunter then sees a third pride that has a total of 3.72 lions (including cubs as half). How many lions (taking cubs as half each) did the lion hunter count across all three prides?
InternLM-Math Base 20B:
Reasoning: The lion hunter counted 25.5+29.9+3.72 = <<25.5+29.9+3.72=59.12>>59.12 lions in total. ### Answer: 59.12
Expected answer: 59.1200000000000
Correct? Yes
Problem: Following the previous story, what if the lion hunter actually saw 76 lions in the first pride instead of 25.5 that he initially counted? When he then counted the second pride with 29.9 lions (including cubs as half), how many lions (considering cubs as half each) did the lion hunter count in total?
InternLM-Math Base 20B:
Reasoning: The lion hunter counted 76+29.9 = <<76+29.9=105.9>>105.9 lions in total. ### Answer: 105.9
Expected answer: 105.900000000000
Correct? Yes
Problem: A brown bear ate 50.1 pounds of fish in the morning. Then, it ate another 65.7 pounds in the afternoon. How many total pounds of fish did the brown bear consume in one day?
InternLM-Math Base 20B:
Reasoning: The brown bear consumed 50.1+65.7 = <<50.1+65.7=115.8>>115.8 pounds of fish in one day. ### Answer: 115.8
Expected answer: 115.800000000000
Correct? Yes
Problem: A brown bear ate 50.1 pounds of fish in the morning. Then, it ate another 21 pounds in the afternoon instead of 65.7 pounds. How many total pounds of fish did the brown bear consume in one day now?
InternLM-Math Base 20B:
Reasoning: The brown bear consumed 50.1+21 = <<50.1+21=71.1>>71.1 pounds of fish in one day. ### Answer: 71.1
Expected answer: 71.1000000000000
Correct? Yes
Problem: A bakery initially has 62.06 kilograms of flour. After making a batch of cakes, they are left with 51.59 kilograms of flour. How many kilograms of flour were used to make the cakes?
InternLM-Math Base 20B:
Reasoning: The bakery used 62.06-51.59 = <<62.06-51.59=10.47>>10.47 kilograms of flour to make the cakes. ### Answer: 10.47
Expected answer: 10.4700000000000
Correct? Yes
Problem: After calculating the flour used to make the cakes, suppose this amount is then mixed with 74.2 grams of sugar per kilogram of the flour. How many grams of sugar would be needed in total?
InternLM-Math Base 20B:
Reasoning: The bakery used 10.47 kilograms of flour to make the cakes. Therefore, the amount of sugar needed is 10.47*74.2 = <<10.47*74.2=778.57>>778.57 grams. ### Answer: 778.57
Expected answer: 776.874000000000
Correct? No
Problem: Suppose the bakery initially started with 68 kilograms of flour instead of 62.06 kilograms. How many kilograms of flour would have been used to make the cakes then?
InternLM-Math Base 20B:
Reasoning: The bakery would have used 68-51.59 = <<68-51.59=16.41>>16.41 kilograms of flour to make the cakes. ### Answer: 16.41
Expected answer: 16.4100000000000
Correct? Yes
Problem: A mermaid has found a sunken treasure chest containing some gold pieces and a pearl. The gold is worth $86.7 and the pearl is worth $11.99. How much is the total worth of the treasure found by the mermaid?
InternLM-Math Base 20B:
Reasoning: The total worth of the treasure is 86.7+11.99 = <<86.7+11.99=98.69>>98.69. ### Answer: 98.69
Expected answer: 98.6900000000000
Correct? Yes
Problem: After adding the value of the gold and the pearl, the mermaid decides to give $28.05 worth of her treasure to her best sea creature friend. How much is the value of the remaining treasures after giving away part of it?
InternLM-Math Base 20B:
Reasoning: The value of the remaining treasures is 98.69-28.05 = <<98.69-28.05=70.64>>70.64. ### Answer: 70.64
Expected answer: 70.6400000000000
Correct? Yes
Problem: Suppose instead of the gold being worth $86.7, it was actually worth $71. Now how much is the total value of the treasure the mermaid found?
InternLM-Math Base 20B:
Reasoning: The total worth of the treasure is 71+11.99 = <<71+11.99=82.99>>82.99. ### Answer: 82.99
Expected answer: 82.9900000000000
Correct? Yes
Problem: An astronaut moves a distance of 85.3 meters from the spaceship and then moves another 85.98 meters further out into space. What is the total distance the astronaut moved away from the spaceship?
InternLM-Math Base 20B:
Reasoning: The astronaut moved 85.3+85.98 = <<85.3+85.98=171.28>>171.28 meters away from the spaceship. ### Answer: 171.28
Expected answer: 171.280000000000
Correct? Yes
Problem: The astronaut originally was at a distance of 61 meters from the spaceship before he moved an additional 85.98 meters further out into space. What is the total distance the astronaut moved away from the spaceship given this new initial distance?
InternLM-Math Base 20B:
Reasoning: The astronaut moved 61+85.98 = <<61+85.98=146.98>>146.98 meters away from the spaceship. ### Answer: 146.98
Expected answer: 146.980000000000
Correct? Yes
Problem: A tent has a rectangular floor with a length of 44.68 feet and a width of 49.75 feet. What is the area of the tent's floor in square feet?
InternLM-Math Base 20B:
Reasoning: The area of the floor is 44.68 × 49.75 = <<44.68*49.75=2218.07>>2218.07 square feet. ### Answer: 2218.07
Expected answer: 2222.83000000000
Correct? No
Problem: A craftsman is making a bracelet which requires 10.7 grams of silver for each charm. If the bracelet needs 4.54 charms, how many grams of silver are needed in total for the charms on the bracelet?
InternLM-Math Base 20B:
Reasoning: 4.54 × 10.7 = <<4.54*10.7=48.378>>48.378 grams of silver are needed in total for the charms on the bracelet. ### Answer: 48.378
Expected answer: 48.5780000000000
Correct? No
Problem: A city bus has a capacity of 68.0 passengers. If 10.66 seats are reserved for specific riders, how many seats are available for general riders?
InternLM-Math Base 20B:
Reasoning: 68.0-10.66 = <<68.0-10.66=57.34>>57.34 seats are available for general riders. ### Answer: 57.34
Expected answer: 57.3400000000000
Correct? Yes
Problem: From the previous problem, we knew a city bus has a capacity of 68.0 passengers with 10.66 seats reserved for specific riders. Now, suppose there are an additional 73.24 available seats added to the bus after an upgrade. How many total seats are now available for general riders after the upgrade?
InternLM-Math Base 20B:
Reasoning: 10.66+73.24 = <<10.66+73.24=83.9>>83.9 seats are available for general riders. ### Answer: 83.9
Expected answer: 130.580000000000
Correct? No
Problem: From the previous problem, a city bus was upgraded to have more seats for general riders. However, now consider that originally, the bus only had a capacity of 28 passengers instead of 68.0, with the same 10.66 seats reserved for specific riders. How many seats would then have been available for general riders before the upgrade?
InternLM-Math Base 20B:
Reasoning: 28.0-10.66 = <<28.0-10.66=17.34>>17.34 seats were available for general riders before the upgrade. ### Answer: 17.34
Expected answer: 17.3400000000000
Correct? Yes
Problem: A ballerina performed a dance routine that was exactly 93.5 seconds long. She repeated this routine exactly 72.0 times for her various performances, recitals, and practices. How much total time did she spend performing this specific routine?
InternLM-Math Base 20B:
Reasoning: 93.5 × 72.0 = <<93.5*72.0=6732.0>>6732.0 seconds. ### Answer: 6732.0 seconds
Expected answer: 6732.00000000000
Correct? Yes
Problem: In the previous scenario, the ballerina danced her main routine 72.0 times. However, let's consider what would happen if she only performed it 25 times instead. How much total time would she spend if she only performed her main routine 25 times?
InternLM-Math Base 20B:
Reasoning: 93.5 × 25 = <<93.5*25=2337.5>>2337.5 seconds. ### Answer: 2337.5 seconds
Expected answer: 2337.50000000000
Correct? Yes
Problem: A certain type of flower takes up 2833.45 milliliters of water over 30.5 days. On average, how much water does this flower consume every day?
InternLM-Math Base 20B:
Reasoning: 2833.45/30.5 = <<2833.45/30.5=93.2>>93.2 milliliters of water per day. ### Answer: 93.2
Expected answer: 92.9000000000000
Correct? No
Problem: A factory produces toothbrushes. Each toothbrush costs $71.15 to make. If the factory produces 77.5 toothbrushes in an hour, how much does it cost to manufacture those toothbrushes in that hour?
InternLM-Math Base 20B:
Reasoning: The factory produces 77.5 toothbrushes in an hour. Each toothbrush costs $71.15 to make. So, the cost to manufacture those toothbrushes in that hour is 77.5 × 71.15 = <<77.5*71.15=5527.125>>5527.125. ### Answer: 5527.125
Expected answer: 5514.12500000000
Correct? No
Problem: An artist uses 98.06 liters of blue paint to create a mural. If the cost of each liter of blue paint is 1.67 dollars, then how much does the volume of paint used in the mural cost?
InternLM-Math Base 20B:
Reasoning: The cost of the paint is 1.67 dollars per liter. The total cost is 1.67 dollars per liter times the total volume of paint used. The total cost is 1.67 dollars per liter times 98.06 liters. The total cost is 1.67 dollars times 98.06. The total cost is 163.50 dollars. ### Answer: 163.50
Expected answer: 163.760200000000
Correct? No
Problem: A chocolate maker purchased a total of 23.76 kg of milk chocolate and 49.8 kg of dark chocolate. What is the total weight in kg of the chocolate purchased?
InternLM-Math Base 20B:
Reasoning: 23.76+49.8 = <<23.76+49.8=73.56>>73.56 ### Answer: 73.56
Expected answer: 73.5600000000000
Correct? Yes
Problem: The chocolate maker originally thought they had purchased 23.76 kg of milk chocolate, but realized later that they had actually bought 91 kg of milk chocolate. Given that they still purchased 49.8 kg of dark chocolate as initially thought, what would be the new total weight in kg of the chocolate purchased?
InternLM-Math Base 20B:
Reasoning: 91+49.8 = <<91+49.8=140.8>>140.8 ### Answer: 140.8
Expected answer: 140.800000000000
Correct? Yes
Problem: A bakery sells each cookie for $79.4. If they sell 26.9 cookies, how much will they make?
InternLM-Math Base 20B:
Reasoning: The bakery will make 26.9 × 79.4 = <<26.9*79.4=2128.86>>2128.86. ### Answer: 2128.86
Expected answer: 2135.86000000000
Correct? No
Problem: A piano is initially tuned to play notes at 74.5 Hz, but its tuning slips, and it now plays notes at 21.6 Hz less. What frequency does the piano now play notes at?
InternLM-Math Base 20B:
Reasoning: The piano now plays notes at 74.5-21.6 = <<74.5-21.6=52.9>>52.9 Hz. ### Answer: 52.9
Expected answer: 52.9000000000000
Correct? Yes
Problem: After the tuning slips, the frequency a piano plays notes at is further reduced by 39.2 Hz. What frequency does the piano play notes at now?
InternLM-Math Base 20B:
Reasoning: The piano now plays notes at 52.9-39.2 = <<52.9-39.2=13.7>>13.7 Hz. ### Answer: 13.7
Expected answer: 13.7000000000000
Correct? Yes
Problem: A toy factory makes toy cars. Each car is sold for $10.2. If the factory managed to sell 47.97 cars in a day, how much total amount did the factory make from selling toy cars? Remember, a fraction of a car still makes money!
InternLM-Math Base 20B:
Reasoning: 47.97 cars were sold, so 48 cars were sold. Each car is sold for $10.2, so 48 cars were sold for 48*10.2 = <<48*10.2=489.6>>489.6 dollars. ### Answer: 489.6
Expected answer: 489.294000000000
Correct? Yes
Problem: Following up on the previous scenario, the toy factory also made an additional $74.2 from selling accessories for the toy cars on the same day. What is the total amount of money the factory made from selling both the toy cars and the accessories?
InternLM-Math Base 20B:
Reasoning: The factory made $489.6 from selling toy cars and $74.2 from selling accessories. The total amount of money the factory made is $489.6 + $74.2 = <<489.6+74.2=563.8>>563.8 dollars. ### Answer: 563.8
Expected answer: 563.494000000000
Correct? Yes
Problem: Let's revisit the scenario at the toy factory. Instead of selling 10.2 toy cars, they actually sold 63 toy cars in a day, with each car still priced at $47.97. How much total revenue did the factory now make from selling toy cars?
InternLM-Math Base 20B:
Reasoning: 63 cars were sold, each for $47.97. So 63 cars were sold for 63*47.97 = <<63*47.97=3030.11>>3030.11 dollars. ### Answer: 3030.11
Expected answer: 3022.11000000000
Correct? No
Problem: A superhero can fly 854.0 miles in a day. If he can fly for only 24.4 hours in a day, how many miles can he fly in one hour?
InternLM-Math Base 20B:
Reasoning: The superhero can fly 854.0/24.4 = <<854.0/24.4=35.0>>35.0 miles in one hour. ### Answer: 35.0
Expected answer: 35.0000000000000
Correct? Yes
Problem: Following up from the previous question where the superhero could fly a certain distance in an hour, let's assume he has a battery pack that allows him to fly an additional 81.04 miles per hour. Adding this extra distance to the previously calculated hourly flight distance, how many miles can the superhero now travels in an hour with his improved abilities?
InternLM-Math Base 20B:
Reasoning: The superhero can fly 35.0+81.04 = <<35.0+81.04=116.04>>116.04 miles in one hour. ### Answer: 116.04
Expected answer: 116.040000000000
Correct? Yes
Problem: A type of starfish has an average weight of 47.33 grams. A certain aquarium houses 11.07 times the average weight of this starfish. What is the total weight of starfish in the aquarium?
InternLM-Math Base 20B:
Reasoning: 11.07*47.33 = <<11.07*47.33=521.9231>>521.9231 The total weight of starfish in the aquarium is 521.9231 grams. ### Answer: 521.9231
Expected answer: 523.943100000000
Correct? No
Problem: A UFO was detected at an altitude of 72.18 km. It then descended to an altitude of 70.7 km. By how many km did the UFO descend?
InternLM-Math Base 20B:
Reasoning: 72.18-70.7 = <<72.18-70.7=1.48>>1.48 The UFO descended by 1.48 km. ### Answer: 1.48
Expected answer: 1.48000000000000
Correct? Yes
Problem: Following the UFO's descent from an altitude of 72.18 km to 70.7 km, it then flew an additional distance calculated by multiplying the distance it descended by 37.2. What is this additional distance flown by the UFO?
InternLM-Math Base 20B:
Reasoning: 1.48*37.2 = <<1.48*37.2=55.056>>55.056 The additional distance flown by the UFO is 55.056 km. ### Answer: 55.056
Expected answer: 55.0560000000000
Correct? Yes
Problem: Following the UFO's additional movement, suppose it originally descended from an altitude of 90 km instead of 72.18 km to the same final altitude of 70.7 km. How much would it have descended then?
InternLM-Math Base 20B:
Reasoning: 90-70.7 = <<90-70.7=19.3>>19.3 The UFO would have descended by 19.3 km. ### Answer: 19.3
Expected answer: 19.3000000000000
Correct? Yes
Problem: A region received 41.4 inches of rain evenly over 11.5 days. How many inches of rain did the region receive each day?
InternLM-Math Base 20B:
Reasoning: 41.4/11.5 = <<41.4/11.5=3.6>>3.6 inches of rain fell each day. ### Answer: 3.6
Expected answer: 3.60000000000000
Correct? Yes
Problem: If the region continued to receive the same amount of rain per day for the following 6.43 days, how many additional inches of rain would the region receive?
InternLM-Math Base 20B:
Reasoning: 3.6*6.43 = <<3.6*6.43=23.148>>23.148 additional inches of rain would fall. ### Answer: 23.148
Expected answer: 23.1480000000000
Correct? Yes
Problem: If instead of 11.5 days, the region originally received the total of 41.4 inches of rain over a period of 21 days, how many inches of rain would the region have received each day?
InternLM-Math Base 20B:
Reasoning: 41.4/21 = <<41.4/21=1.97>>1.97 inches of rain fell each day. ### Answer: 1.97
Expected answer: 1.97142857142857
Correct? Yes
Problem: If a soap bubble has a circumference of 32.3 cm and another bubble has a circumference of 21.1 cm, what is the total circumference of the two bubbles?
InternLM-Math Base 20B:
Reasoning: The total circumference of the two bubbles is 32.3+21.1 = <<32.3+21.1=53.4>>53.4 cm. ### Answer: 53.4
Expected answer: 53.4000000000000
Correct? Yes
Problem: A robot worker was able to complete 1402.7 units of work over a period of 84.5 hours. If the robot worked at a constant rate, how many units of work did it complete per hour?
InternLM-Math Base 20B:
Reasoning: The robot completed 1402.7/84.5 = <<1402.7/84.5=16.6>>16.6 units of work per hour. ### Answer: 16.6
Expected answer: 16.6000000000000
Correct? Yes
Problem: If the optimal work rate for such robots is 43.9 units per hour, by how much was this robot's work rate short of the optimal rate?
InternLM-Math Base 20B:
Reasoning: The robot's work rate was 43.9-16.6 = <<43.9-16.6=27.3>>27.3 units per hour short of the optimal rate. ### Answer: 27.3
Expected answer: 27.3000000000000
Correct? Yes
Problem: Suppose the robot completed the work over 76 hours instead of 84.5 hours, while still accomplishing 1402.7 units of work. What would then be the unit of work completed per hour in this case?
InternLM-Math Base 20B:
Reasoning: The robot completed 1402.7/76 = <<1402.7/76=18.4>>18.4 units of work per hour. ### Answer: 18.4
Expected answer: 18.4565789473684
Correct? Yes
Problem: A toy car that operates on battery can travel a total distance of 5460.48 meters on a single battery charge. If the battery lasts for 86.4 minutes, what is the toy car's speed in meters per minute?
InternLM-Math Base 20B:
Reasoning: The toy car's speed is 5460.48/86.4 = <<5460.48/86.4=63.5>>63.5 meters per minute. ### Answer: 63.5
Expected answer: 63.2000000000000
Correct? Yes
Problem: A competitor's toy car runs at a speed of 66.1 meters per minute. By how much is this faster than our toy car that runs at a speed determined by traveling a total distance of 5460.48 meters over 86.4 minutes of battery life?
InternLM-Math Base 20B:
Reasoning: The competitor's toy car is 66.1-63.5 = <<66.1-63.5=2.6>>2.6 meters per minute faster. ### Answer: 2.6
Expected answer: 2.90000000000000
Correct? Yes
Problem: If the battery life of our toy car was instead 41 minutes while still covering the distance of 5460.48 meters, how would that alter the toy car's speed in meters per minute?
InternLM-Math Base 20B:
Reasoning: The toy car's speed is 5460.48/41 = <<5460.48/41=132.9>>132.9 meters per minute. ### Answer: 132.9
Expected answer: 133.182439024390
Correct? No
Problem: A robot travels a total distance of 1149.72 meters over a time span of 15.6 minutes. Find out how many meters the robot travels per minute.
InternLM-Math Base 20B:
Reasoning: The robot travels 1149.72/15.6 = <<1149.72/15.6=73.6>>73.6 meters per minute. ### Answer: 73.6
Expected answer: 73.7000000000000
Correct? Yes
Problem: The robot mentioned before that travels a total distance of 1149.72 meters over a time span of 15.6 minutes has an energy consumption rate of 25.58 joules per meter. How much total energy does the robot consume in joules during this span of time?
InternLM-Math Base 20B:
Reasoning: The robot consumes 1149.72*25.58 = <<1149.72*25.58=29,383.5376>>29,383.5376 joules in total. ### Answer: 29,383.5376
Expected answer: 1885.24600000000
Correct? No
Problem: In the same scenario as before, let's consider if the robot traveled a lesser distance of 46 meters over the same time span of 15.6 minutes. How many meters would the robot travel per minute then?
InternLM-Math Base 20B:
Reasoning: The robot travels 46/15.6 = <<46/15.6=2.9>>2.9 meters per minute. ### Answer: 2.9
Expected answer: 2.94871794871795
Correct? Yes
Problem: A sleeping bag manufacturer has 2631.68 square feet of material to use, and each sleeping bag requires 51.2 square feet of material. How many sleeping bags can the manufacturer produce with the available material?
InternLM-Math Base 20B:
Reasoning: The manufacturer can produce 2631.68/51.2 = <<2631.68/51.2=51.2>>51.2 sleeping bags with the available material. ### Answer: 51.2
Expected answer: 51.4000000000000
Correct? Yes
Problem: In light of a new sleeping bag design, the manufacturer has decided to adjust the material requirements. Now each sleeping bag will use 94 square feet of material instead of 51.2. Given the same total amount of material available as before, 2631.68 square feet, how many of these new sleeping bags can now be produced?
InternLM-Math Base 20B:
Reasoning: The manufacturer can produce 2631.68/94 = <<2631.68/94=28>>28 sleeping bags with the available material. ### Answer: 28
Expected answer: 27.9965957446808
Correct? No
Problem: Consider that a plane has been traveling at a speed of 60.6 km/hr, and then it speeds up to 83.84 km/hr. What is the combined speed of the plane at both rates?
InternLM-Math Base 20B:
Reasoning: 60.6+83.84 = <<60.6+83.84=144.44>>144.44 ### Answer: 144.44
Expected answer: 144.440000000000
Correct? Yes
Problem: Continuing from the previous scenario, suppose the plane increases its speed again by 89.64 km/hr. What is the total speed of the plane now, considering all three speed rates?
InternLM-Math Base 20B:
Reasoning: 144.44+89.64 = <<144.44+89.64=234.08>>234.08 ### Answer: 234.08
Expected answer: 234.080000000000
Correct? Yes
Problem: You have a computer game that you play for 96.6 hours and it consumes 2714.46 MBs of data. How many MBs of data does it consume per hour?
InternLM-Math Base 20B:
Reasoning: 2714.46/96.6 = <<2714.46/96.6=28.1>>28.1 MBs of data per hour. ### Answer: 28.1
Expected answer: 28.1000000000000
Correct? Yes
Problem: In the original scenario, assume instead that the computer game consumes 2714.46 MBs of data over 4 hours of gameplay. In this case, how many MBs of data would the game consume per hour?
InternLM-Math Base 20B:
Reasoning: 2714.46/4 = <<2714.46/4=678.6>>678.6 MBs of data per hour. ### Answer: 678.6
Expected answer: 678.615000000000
Correct? Yes
Problem: If a kite traveled 7102.88 meters over the course of 86.2 minutes, how many meters does the kite travel per minute?
InternLM-Math Base 20B:
Reasoning: 7102.88/86.2 = <<7102.88/86.2=82.7>>82.7 The kite traveled 82.7 meters per minute. ### Answer: 82.7
Expected answer: 82.4000000000000
Correct? Yes
Problem: In a revision of the previous scenario, let's say the kite actually traveled 7102.88 meters over the course of 83 minutes instead of 86.2 minutes. In this case, how many meters would the kite have traveled per minute?
InternLM-Math Base 20B:
Reasoning: 7102.88/83 = <<7102.88/83=85.5>>85.5 The kite traveled 85.5 meters per minute. ### Answer: 85.5
Expected answer: 85.5768674698795
Correct? Yes
Problem: A juice stand can make 792.78 liters of orange juice using 18.1 kilograms of oranges. If each kilogram of oranges generates the same amount of juice, how many liters of juice does each kilogram of oranges produce?
InternLM-Math Base 20B:
Reasoning: 792.78/18.1 = <<792.78/18.1=43.9>>43.9 Each kilogram of oranges produces 43.9 liters of juice. ### Answer: 43.9
Expected answer: 43.8000000000000
Correct? Yes
Problem: Follow up question to previous problem: After finding out how many liters of juice each kilogram of oranges produces, if we have 4.8 kilograms of oranges, how many liters of juice can we make from them?
InternLM-Math Base 20B:
Reasoning: 4.8*43.9 = <<4.8*43.9=211.72>>211.72 We can make 211.72 liters of juice from 4.8 kilograms of oranges. ### Answer: 211.72
Expected answer: 210.240000000000
Correct? No
Problem: Follow-up to the previous problem: Instead of using 18.1 kilograms of oranges, what if the juice stand used 38 kilograms of oranges to make 792.78 liters of juice? In this case, how many liters of juice would be produced by each kilogram of oranges?
InternLM-Math Base 20B:
Reasoning: 792.78/38 = <<792.78/38=20.8>>20.8 Each kilogram of oranges would produce 20.8 liters of juice. ### Answer: 20.8
Expected answer: 20.8626315789474
Correct? Yes
Problem: A skateboard part costs $52.9 and a sticker costs $95.23. What would the total cost be if you buy both items?
InternLM-Math Base 20B:
Reasoning: The total cost is $52.9+$95.23 = <<52.9+95.23=148.13>>148.13. ### Answer: 148.13
Expected answer: 148.130000000000
Correct? Yes
Problem: In addition to the skateboard part and the sticker, you also plan on buying a helmet that costs $84.8. What would the total cost be for all three items?
InternLM-Math Base 20B:
Reasoning: The total cost is $52.9+$95.23+$84.8 = <<52.9+95.23+84.8=242.93>>242.93. ### Answer: 242.93
Expected answer: 232.930000000000
Correct? No
Problem: Suppose instead of the skateboard part costing $52.9, it actually cost $33. How much would the total cost be if you purchased this skateboard part and the $95.23 sticker?
InternLM-Math Base 20B:
Reasoning: The total cost is $33+$95.23 = <<33+95.23=128.23>>128.23. ### Answer: 128.23
Expected answer: 128.230000000000
Correct? Yes
Problem: An elephant weighs 94.76 tons. After losing weight, it now weighs 42.8 tons. How much weight did the elephant lose?
InternLM-Math Base 20B:
Reasoning: The elephant lost 94.76-42.8 = <<94.76-42.8=51.96>>51.96 tons. ### Answer: 51.96
Expected answer: 51.9600000000000
Correct? Yes
Problem: In the same scenario, suppose instead that the elephant's original weight was 49 tons before it started losing weight and reached 42.8 tons. How much weight did the elephant lose in this case?
InternLM-Math Base 20B:
Reasoning: The elephant lost 49-42.8 = <<49-42.8=6.2>>6.2 tons. ### Answer: 6.2
Expected answer: 6.20000000000000
Correct? Yes
Problem: A food manufacturer packages two types of cheese, one weighing 92.6 grams and the other 91.7 grams. What is the total weight of the two types of cheese when packaged together?
InternLM-Math Base 20B:
Reasoning: 92.6+91.7 = <<92.6+91.7=184.3>>184.3 ### Answer: 184.3
Expected answer: 184.300000000000
Correct? Yes
Problem: After packaging together the two types of cheese, the food manufacturer realizes that the package needs to maintain a standard weight of 72.5 grams. How much does the manufacturer need to subtract from the total weight of the combination of the two cheeses to meet this standard?
InternLM-Math Base 20B:
Reasoning: 184.3-72.5 = <<184.3-72.5=111.8>>111.8 ### Answer: 111.8
Expected answer: 111.800000000000
Correct? Yes
Problem: Let's reconsider the problem by supposing that the weight of the first type of cheese was originally 15 grams instead of 92.6 grams. What would then be the total weight of the two types of cheese when packaged together?
InternLM-Math Base 20B:
Reasoning: 15+91.7 = <<15+91.7=106.7>>106.7 ### Answer: 106.7
Expected answer: 106.700000000000
Correct? Yes
Problem: A boat traveled a total distance of 3762.8 miles in 46.0 hours. If the speed remains constant, how many miles per hour does the boat travel?
InternLM-Math Base 20B:
Reasoning: 3762.8/46.0 = <<3762.8/46.0=81.38>>81.38 The boat travels 81.38 miles per hour. ### Answer: 81.38
Expected answer: 81.8000000000000
Correct? No
Problem: On a farm, there are 77.66 acres of land. If 31.94 acres are used for growing corn, how many acres are not used for growing corn?
InternLM-Math Base 20B:
Reasoning: 77.66 - 31.94 = <<77.66-31.94=45.72>>45.72 ### Answer: 45.72
Expected answer: 45.7200000000000
Correct? Yes
Problem: On a farm, there are 77.66 acres of land. If 31.94 acres are used for growing corn, how many acres are not used for growing corn? If each of the unused acres can yield 6.5 bushels of wheat, how many bushels of wheat can be grown in total?
InternLM-Math Base 20B:
Reasoning: 77.66 - 31.94 = <<77.66-31.94=45.72>>45.72 ### Answer: 45.72
Expected answer: 297.180000000000
Correct? No
Problem: In the same farm scenario, suppose there had originally been 81 acres of land instead of 77.66. If still 31.94 acres are used for growing corn, how many acres would now be left unused?
InternLM-Math Base 20B:
Reasoning: 81 - 31.94 = <<81-31.94=49.06>>49.06 ### Answer: 49.06
Expected answer: 49.0600000000000
Correct? Yes
Problem: A giraffe is 48.29 feet tall. If the height of its body (not including the neck) is 6.6 feet, how tall is its neck?
InternLM-Math Base 20B:
Reasoning: The height of the giraffe's neck is 48.29 - 6.6 = <<48.29-6.6=41.69>>41.69 feet. ### Answer: 41.69
Expected answer: 41.6900000000000
Correct? Yes
Problem: A jacket requires 96.1 square feet of material to make. If a factory produces 67.9 such jackets, what is the total amount of material required in square feet?
InternLM-Math Base 20B:
Reasoning: 96.1 × 67.9 = <<96.1*67.9=6550.59>>6550.59. The total amount of material required in square feet is 6550.59. ### Answer: 6550.59
Expected answer: 6525.19000000000
Correct? No
Problem: A rocket needs to reach a specific altitude to deliver a satellite. Currently, it has risen to an altitude of 43.2 km, but it needs to ascend an additional 90.0 km to reach the necessary position. What will be the rocket's altitude when it has ascended the additional distance?
InternLM-Math Base 20B:
Reasoning: The rocket needs to ascend 90.0 km to reach the necessary position. Therefore, the rocket's altitude will be 43.2+90.0 = <<43.2+90.0=133.2>>133.2 km when it has ascended the additional distance. ### Answer: 133.2
Expected answer: 133.200000000000
Correct? Yes
Problem: Continuing from the initial scenario, suppose the rocket initially only rose to an altitude of 43.2 km and needed to ascend an additional 15 km to deliver the satellite into its required position. What would be the rocket's altitude when it has ascended the additional distance?
InternLM-Math Base 20B:
Reasoning: The rocket needs to ascend 15 km to reach the necessary position. Therefore, the rocket's altitude will be 43.2+15 = <<43.2+15=58.2>>58.2 km when it has ascended the additional distance. ### Answer: 58.2
Expected answer: 58.2000000000000
Correct? Yes
Problem: A skateboard travels a total of 3769.24 meters in 48.2 minutes. If it traveled at a constant speed, how many meters does it cover in one minute?
InternLM-Math Base 20B:
Reasoning: 3769.24/48.2 = <<3769.24/48.2=78.2>>78.2 The skateboard covers 78.2 meters in one minute. ### Answer: 78.2
Expected answer: 78.2000000000000
Correct? Yes
Problem: The skateboard travels a total of 3769.24 meters in 48.2 minutes. If it traveled at a constant speed, how many meters does it cover in one minute? After subtracting 58.8 meters from this distance, how far has the skateboard traveled?
InternLM-Math Base 20B:
Reasoning: 3769.24/48.2 = <<3769.24/48.2=78.2>>78.2 The skateboard covers 78.2 meters in one minute. ### Answer: 78.2
Expected answer: 19.4000000000000
Correct? No
Problem: A skateboard travels a total of 63 meters in 48.2 minutes. If it traveled at a constant speed, how many meters does it cover in one minute?
InternLM-Math Base 20B:
Reasoning: 63/48.2 = <<63/48.2=1.3>>1.3 The skateboard covers 1.3 meters in one minute. ### Answer: 1.3
Expected answer: 1.30705394190871
Correct? Yes
Problem: There are 14.0 marshmallows in one bag and 6.9 marshmallows in another bag. How many marshmallows are there in total?
InternLM-Math Base 20B:
Reasoning: 14.0+6.9 = <<14.0+6.9=20.9>>20.9 ### Answer: 20.9
Expected answer: 20.9000000000000
Correct? Yes
Problem: If each marshmallow in both bags was replicated the exact number of times equal to the total of marshmallows in the two bags, how many marshmallows would there then be in total?
InternLM-Math Base 20B:
Reasoning: 14.0*20.9 = <<14.0*20.9=293.6>>293.6 ### Answer: 293.6
Expected answer: 436.810000000000
Correct? No
Problem: If there were 90 marshmallows in the first bag instead of 14.0, and 6.9 marshmallows in the second bag, how many marshmallows would there be in total?
InternLM-Math Base 20B:
Reasoning: 90+6.9 = <<90+6.9=96.9>>96.9 ### Answer: 96.9
Expected answer: 96.9000000000000
Correct? Yes
Problem: A Stegosaurus dinosaur weighs 92.8 tons. A Triceratops dinosaur is 69.3 tons heavier than a Stegosaurus. How heavy is the Triceratops dinosaur?
InternLM-Math Base 20B:
Reasoning: A Triceratops dinosaur weighs 92.8+69.3 = <<92.8+69.3=162.1>>162.1 tons. ### Answer: 162.1
Expected answer: 162.100000000000
Correct? Yes
Problem: After the Triceratops dinosaur, the heaviest dinosaur is a type that is 59.6 times the weight of the Triceratops. How heavy is this dinosaur?
InternLM-Math Base 20B:
Reasoning: The heaviest dinosaur weighs 162.1*59.6 = <<162.1*59.6=9638.16>>9638.16 tons. ### Answer: 9638.16
Expected answer: 9661.16000000000
Correct? No
Problem: Suppose instead of the Triceratops being 69.3 tons heavier than the Stegosaurus, it was only 26 tons heavier. How heavy would the Triceratops be then?
InternLM-Math Base 20B:
Reasoning: A Triceratops dinosaur weighs 92.8+26 = <<92.8+26=118.8>>118.8 tons. ### Answer: 118.8
Expected answer: 118.800000000000
Correct? Yes
Problem: During a firefighting mission, a firefighter's oxygen tank starts with 97.3 liters of oxygen. After entering the burning building, he uses an additional 22.1 liters of oxygen from a supplementary bottle. How much total oxygen does he have for this mission?
InternLM-Math Base 20B:
Reasoning: The firefighter has 97.3+22.1 = <<97.3+22.1=119.4>>119.4 liters of oxygen for this mission. ### Answer: 119.4
Expected answer: 119.400000000000
Correct? Yes
Problem: After using the oxygen from the supplementary bottle, the firefighter finds another backup oxygen source that adds an additional 21.46 liters of oxygen. How much total oxygen does he now have for the mission, including the backup source?
InternLM-Math Base 20B:
Reasoning: The firefighter has 119.4+21.46 = <<119.4+21.46=140.86>>140.86 liters of oxygen for this mission. ### Answer: 140.86
Expected answer: 140.860000000000
Correct? Yes
Problem: Originally, the firefighter's oxygen tank did not start with 97.3 liters, but with 36 liters of oxygen instead. After adding the 22.1 liters of oxygen from the supplementary bottle, how much total oxygen does he have for the mission at that point?
InternLM-Math Base 20B:
Reasoning: The firefighter has 36+22.1 = <<36+22.1=58.1>>58.1 liters of oxygen for this mission. ### Answer: 58.1
Expected answer: 58.1000000000000
Correct? Yes
Problem: A jeweler melts 6.9 ounces of gold to make a ring. If one ounce of gold costs $60.77, what is the total cost of the gold used to make the ring?
InternLM-Math Base 20B:
Reasoning: 6.9 × 60.77 = <<6.9*60.77=419.113>>419.113 The total cost of the gold used to make the ring is $419.113. ### Answer: $419.113
Expected answer: 419.313000000000
Correct? No
Problem: A scooter travels at a constant speed of 95.1 kilometers per hour. How far will the scooter travel, in kilometers, if it keeps this speed for 4.8 hours?
InternLM-Math Base 20B:
Reasoning: 95.1 × 4.8 = <<95.1*4.8=456.48>>456.48 The scooter will travel 456.48 kilometers. ### Answer: 456.48
Expected answer: 456.480000000000
Correct? Yes
Problem: In the previous problem, the scooter initially traveled at a constant speed of 95.1 kilometers per hour. What if instead, the scooter initially traveled at a lower speed of 27 kilometers per hour. What will be the total distance traveled in 4.8 hours at this reduced speed?
InternLM-Math Base 20B:
Reasoning: 27 × 4.8 = <<27*4.8=130.8>>130.8 The scooter will travel 130.8 kilometers. ### Answer: 130.8
Expected answer: 129.600000000000
Correct? No
Problem: A cat runs at a speed of 37.7 feet per second. How far will the cat run in 12.29 seconds?
InternLM-Math Base 20B:
Reasoning: 37.7 × 12.29 = <<37.7*12.29=462.933>>462.933 The cat will run 462.933 feet in 12.29 seconds. ### Answer: 462.933
Expected answer: 463.333000000000
Correct? No
Problem: A snowball that was 15.8 inches in diameter was rolled and grew at a constant rate until it was 30.8 times its original size. What is the size of the snowball now?
InternLM-Math Base 20B:
Reasoning: The snowball grew 30.8 times its original size, so the snowball is now 15.8*30.8 = <<15.8*30.8=488.64>>488.64 inches in diameter. ### Answer: 488.64
Expected answer: 486.640000000000
Correct? No
Problem: A doll-making factory produces 16.54 identical dolls in an hour. If they operate for 87.1 hours, then how many dolls are being produced during this period?
InternLM-Math Base 20B:
Reasoning: 16.54 × 87.1 = <<16.54*87.1=1437.514>>1437.514 ### Answer: 1437.514
Expected answer: 1440.63400000000
Correct? No
Problem: The length of the chain on one side of a swing is 89.5 cm. The length of the chain on the other side of the swing is 70.77 cm. What is the total length of the chain used for the swing?
InternLM-Math Base 20B:
Reasoning: The total length of the chain is 89.5+70.77 = <<89.5+70.77=160.27>>160.27 cm. ### Answer: 160.27
Expected answer: 160.270000000000
Correct? Yes
Problem: The length of the chain on one side of a swing is 89.5 cm. The length of the chain on the other side of the swing is 70.77 cm, and there is an additional 3.5 cm chain used to attach the swing to the frame. What is the total length of the chain used for the swing, including the attachment?
InternLM-Math Base 20B:
Reasoning: The total length of the chain is 89.5+70.77+3.5 = <<89.5+70.77+3.5=153.77>>153.77 cm. ### Answer: 153.77
Expected answer: 163.770000000000
Correct? No
Problem: Previously, the length of the chain on one side of a swing was 89.5 cm. However, after some adjustments, the new length of the chain on this side is now 13 cm. The length of the chain on the other side remains the same at 70.77 cm. What is the total length of the chain used for the swing now?
InternLM-Math Base 20B:
Reasoning: The total length of the chain is 13+70.77 = <<13+70.77=83.77>>83.77 cm. ### Answer: 83.77
Expected answer: 83.7700000000000
Correct? Yes
Problem: A candy store had 30.83 pounds of chocolate candies in its stock. After selling some candies, the store was left with 29.0 pounds of chocolate candies. How many pounds of candies were sold?
InternLM-Math Base 20B:
Reasoning: 30.83 - 29.0 = <<30.83-29.0=1.83>>1.83 pounds of candies were sold. ### Answer: 1.83
Expected answer: 1.83000000000000
Correct? Yes
Problem: The candy store manager realized that they had made an error in their original calculation, and the store was actually initially stocked with 30.83 pounds of chocolate candies but ended up with 15 pounds after some sales. How many pounds of candies were really sold?
InternLM-Math Base 20B:
Reasoning: 30.83 - 15 = <<30.83-15=15.83>>15.83 pounds of candies were sold. ### Answer: 15.83
Expected answer: 15.8300000000000
Correct? Yes
Problem: You bought a watch for $58.36, but it was on sale and you got a discount of $19.96. How much did you end up paying for the watch?
InternLM-Math Base 20B:
Reasoning: You paid $58.36 - $19.96 = <<58.36-19.96=38.4>>$38.40 for the watch. ### Answer: 38.4
Expected answer: 38.4000000000000
Correct? Yes
Problem: Continuing from the previous question, you decide to sell the watch you bought for a profit, marking up the price you paid by 15.28 times. How much are you selling the watch for?
InternLM-Math Base 20B:
Reasoning: You are selling the watch for $38.40 * 15.28 = <<38.4*15.28=585.632>>$585.63. ### Answer: 585.63
Expected answer: 586.752000000000
Correct? No
Problem: In the previous scenario, what if the discount on the watch was instead $36.00 instead of $19.96? How much would you have paid for the watch in this case?
InternLM-Math Base 20B:
Reasoning: You paid $58.36 - $36.00 = <<58.36-36.00=22.36>>$22.36 for the watch. ### Answer: 22.36
Expected answer: 22.3600000000000
Correct? Yes
Problem: If one minute of observing time with a powerful telescope costs $6.9, how much would it cost for 63.2 minutes of observation time?
InternLM-Math Base 20B:
Reasoning: 63.2/1 = <<63.2/1=63.2>>63.2 minutes of observation time costs 63.2*6.9 = <<63.2*6.9=434.08>>434.08 dollars. ### Answer: 434.08
Expected answer: 436.080000000000
Correct? No
Problem: Two comets traveled a total distance in space. The first comet covered a distance of 32.52 million kilometers, and the second traveled 27.3 million kilometers. Combining the two, what is the total distance both comets traveled?
InternLM-Math Base 20B:
Reasoning: 32.52+27.3 = <<32.52+27.3=59.82>>59.82 ### Answer: 59.82
Expected answer: 59.8200000000000
Correct? Yes
Problem: Reconsidering the two comets, suppose this time the first comet covered a distance of 61 million kilometers instead of 32.52 million kilometers, and the second traveled the same distance as before, i.e. 27.3 million kilometers. Combining the two, what is the total distance both comets traveled now?
InternLM-Math Base 20B:
Reasoning: 61+27.3 = <<61+27.3=88.3>>88.3 ### Answer: 88.3
Expected answer: 88.3000000000000
Correct? Yes
Problem: A tiger's territory is a rectangle measuring 50.53 km by 82.82 km. What's the total area of the tiger's territory in square kilometers?
InternLM-Math Base 20B:
Reasoning: The area of a rectangle is the product of its length and width. The total area of the tiger's territory is 50.53 × 82.82 = <<50.53*82.82=4208.1546>>4208.1546 square kilometers. ### Answer: 4208.1546
Expected answer: 4184.89460000000
Correct? No
Problem: In a certain puzzle game, each puzzle piece is worth 93.11 points. If a player collects 42.7 pieces, how many points would they have in total?
InternLM-Math Base 20B:
Reasoning: 42.7 pieces are worth 42.7*93.11 = <<42.7*93.11=3980.997>>3980.997 points. ### Answer: 3980.997
Expected answer: 3975.79700000000
Correct? No
Problem: A wizard crafted a magical potion from two ingredients. The first ingredient has a quantity of 56.9 units and the second one has a quantity of 59.42 units. How many units are there in total in the potion?
InternLM-Math Base 20B:
Reasoning: 56.9+59.42 = <<56.9+59.42=116.32>>116.32 ### Answer: 116.32
Expected answer: 116.320000000000
Correct? Yes
Problem: Suppose the wizard initially started with a different quantity of the first ingredient, having 51 units instead of 56.9 units. How many units would there be in total in the potion then?
InternLM-Math Base 20B:
Reasoning: 51+59.42 = <<51+59.42=110.42>>110.42 ### Answer: 110.42
Expected answer: 110.420000000000
Correct? Yes