Common Core Standard 7.NS.A.3-decimal
This standard covers the following:
Solve real-world and mathematical problems involving the four operations with rational numbers.
Problem: A teacher has a stack of papers that is 12.7 cm high. She adds another stack of papers that is 4.2 cm high to the existing pile. Afterwards, she distributes 2.144 cm worth of papers to her students. How tall is the stack of papers now?
Qwen2-Math 72B:
Reasoning: The total height of the papers before distributing to the students is 12.7+4.2 = <<12.7+4.2=16.9>>16.9 cm. After distributing the papers, the height of the stack is 16.9-2.144 = <<16.9-2.144=14.756>>14.756 cm. ### Answer: 14.756
Expected answer: 14.7560000000000
Correct? Yes
Problem: After she distributed the papers, the teacher received 9.888 cm worth of new papers for grading. How tall is her stack of papers now?
Qwen2-Math 72B:
Reasoning: The height of the stack of papers after distributing is 14.756 cm. After receiving new papers, the height of the stack is 14.756+9.888 = <<14.756+9.888=24.644>>24.644 cm. ### Answer: 24.644
Expected answer: 24.6440000000000
Correct? Yes
Problem: Originally, the teacher had a pile of papers that was 13 cm high instead of 12.7 cm. She still adds another stack of 4.2 cm high, and distributes 2.144 cm worth of papers to her students. How tall is the stack of papers now?
Qwen2-Math 72B:
Reasoning: The total height of the papers before distributing to the students is 13+4.2 = <<13+4.2=17.2>>17.2 cm. After distributing the papers, the height of the stack is 17.2-2.144 = <<17.2-2.144=15.056>>15.056 cm. ### Answer: 15.056
Expected answer: 15.0560000000000
Correct? Yes
Problem: A dragon flew a total distance of 24.02 km in a day. However, it had to backtrack 1.3 km due to a severe storm. How many kilometers did the dragon travel in the end?
Qwen2-Math 72B:
Reasoning: The dragon initially flew 24.02 km. After backtracking, the dragon traveled 24.02 - 1.3 = <<24.02-1.3=22.72>>22.72 km in the end. ### Answer: 22.72
Expected answer: 22.7200000000000
Correct? Yes
Problem: If the dragon initially planned to fly 13 km in the day instead of 24.02 km, but still had to backtrack 1.3 km due to the severe storm, how many kilometers would the dragon have traveled then?
Qwen2-Math 72B:
Reasoning: The dragon initially planned to fly 13 km. After backtracking, the dragon would have traveled 13 - 1.3 = <<13-1.3=11.7>>11.7 km in the end. ### Answer: 11.7
Expected answer: 11.7000000000000
Correct? Yes
Problem: An elephant weighs 12.1 tons in the morning and gains 15.68 tons throughout the day from eating. What is the elephant's total weight by the end of the day?
Qwen2-Math 72B:
Reasoning: The elephant's total weight by the end of the day is 12.1+15.68 = <<12.1+15.68=27.78>>27.78 tons. ### Answer: 27.78
Expected answer: 27.7800000000000
Correct? Yes
Problem: The elephant from the previous question then burns off 5.935 tons of weight. What is the elephant's weight now?
Qwen2-Math 72B:
Reasoning: The elephant's weight now is 27.78-5.935 = <<27.78-5.935=21.845>>21.845 tons. ### Answer: 21.845
Expected answer: 21.8450000000000
Correct? Yes
Problem: A certain breed of mouse can eat up to 29.573 grams of food a day. However, one day it only eats 4.62 grams less than what it usually eats. How much does it eat on that day?
Qwen2-Math 72B:
Reasoning: The mouse eats 29.573-4.62 = <<29.573-4.62=24.953>>24.953 grams of food on that day. ### Answer: 24.953
Expected answer: 24.9530000000000
Correct? Yes
Problem: Given the same situation, if the mouse initially tends to eat 27 grams of food, but on that particular day, it eats 4.62 grams less than its usual intake. How much food does it eat on that day?
Qwen2-Math 72B:
Reasoning: The mouse eats 27-4.62 = <<27-4.62=22.38>>22.38 grams of food on that day. ### Answer: 22.38
Expected answer: 22.3800000000000
Correct? Yes
Problem: In a zoo, thereβs a baby giraffe that is 1.4 meters tall. If it grows another 5.7 meters, how tall will the giraffe be?
Qwen2-Math 72B:
Reasoning: The giraffe will be 1.4+5.7 = <<1.4+5.7=7.1>>7.1 meters tall. ### Answer: 7.1
Expected answer: 7.10000000000000
Correct? Yes
Problem: In a zoo, thereβs a baby giraffe that is 1.4 meters tall. If it grows another 5.7 meters, it will reach a certain height. Now, if this grown giraffe stretches its neck further and adds another 12.608 meters to its height, how tall will the giraffe be then?
Qwen2-Math 72B:
Reasoning: The giraffe will be 7.1+12.608 = <<7.1+12.608=19.708>>19.708 meters tall. ### Answer: 19.708
Expected answer: 19.7080000000000
Correct? Yes
Problem: In another zoo, there is a full-grown giraffe that measures an impressive 23 meters. If the giraffe stretches its neck and grows another 5.7 meters, how tall will the giraffe be then?
Qwen2-Math 72B:
Reasoning: The giraffe will be 23+5.7 = <<23+5.7=28.7>>28.7 meters tall. ### Answer: 28.7
Expected answer: 28.7000000000000
Correct? Yes
Problem: An astronaut is floating in space and generates an isotopic energy reading of 24.178 units per second. If he keeps this energy level constant for 1.0 second, how much energy does he generate in total?
Qwen2-Math 72B:
Reasoning: The astronaut generates 24.178 units of energy per second. In 1.0 second, he generates 24.178 * 1.0 = <<24.178*1.0=24.178>>24.178 units of energy. ### Answer: 24.178
Expected answer: 24.1780000000000
Correct? Yes
Problem: After generating an isotopic energy reading of 24.178 units for 1.0 second, the astronaut decides to boost his energy output by an additional 4.995 units. What is the new total amount of energy he generates?
Qwen2-Math 72B:
Reasoning: The astronaut initially generated 24.178 units of energy. He boosts his energy output by 4.995 units. The new total amount of energy he generates is 24.178 + 4.995 = <<24.178+4.995=29.173>>29.173 units. ### Answer: 29.173
Expected answer: 29.1730000000000
Correct? Yes
Problem: If instead of generating an isotopic energy reading of 24.178 units per second, the astronaut was initially generating 23 units per second for 1.0 second, what would the total energy output be then?
Qwen2-Math 72B:
Reasoning: The astronaut generates 23 units of energy per second. In 1.0 second, he generates 23 * 1.0 = <<23*1.0=23>>23 units of energy. ### Answer: 23
Expected answer: 23.0000000000000
Correct? Yes
Problem: A treasure chest holds 25.84 kilograms of gold. However, 2.876 kilograms of it is stolen. How much gold is left in the chest?
Qwen2-Math 72B:
Reasoning: The amount of gold left in the chest is 25.84 - 2.876 = <<25.84-2.876=22.964>>22.964 kilograms. ### Answer: 22.964
Expected answer: 22.9640000000000
Correct? Yes
Problem: After some recalculations, it was discovered that the treasure chest initially held 17 kilograms of gold instead of 25.84 kilograms. With 2.876 kilograms stolen, how much gold is left in the chest now?
Qwen2-Math 72B:
Reasoning: The amount of gold left in the chest is now 17 - 2.876 = <<17-2.876=14.124>>14.124 kilograms. ### Answer: 14.124
Expected answer: 14.1240000000000
Correct? Yes
Problem: A breed of dog grows 15.7 inches tall and a different breed grows 4.9 inches more. How tall is the taller dog?
Qwen2-Math 72B:
Reasoning: The taller dog grows 15.7+4.9 = <<15.7+4.9=20.6>>20.6 inches. ### Answer: 20.6
Expected answer: 20.6000000000000
Correct? Yes
Problem: In addition to the previous question: The taller dog then bends over to pick up a toy, at which point its height decreases by 2.865 inches. How tall is the dog when it is bending over?
Qwen2-Math 72B:
Reasoning: The height of the dog when it is bending over is 20.6-2.865 = <<20.6-2.865=17.735>>17.735 inches. ### Answer: 17.735
Expected answer: 17.7350000000000
Correct? Yes
Problem: If instead of growing 4.9 inches more, the different breed of dog only grew 1 inch more than the 15.7 inches tall dog, how tall would this different breed of dog be?
Qwen2-Math 72B:
Reasoning: The different breed of dog would grow 15.7+1 = <<15.7+1=16.7>>16.7 inches. ### Answer: 16.7
Expected answer: 16.7000000000000
Correct? Yes
Problem: A ball weighs 21.985 grams. If another identical ball weighs 25.3 grams but has lost some weight to become equal to the first ball, how much weight has the second ball lost? If we add 8.0 grams to the lost weight, what will be the total?
Qwen2-Math 72B:
Reasoning: The second ball has lost 25.3 - 21.985 = <<25.3-21.985=3.315>>3.315 grams. If we add 8.0 grams to the lost weight, the total will be 3.315 + 8.0 = <<3.315+8.0=11.315>>11.315 grams. ### Answer: 11.315
Expected answer: 11.3150000000000
Correct? Yes
Problem: At the beginning of his shift, a firefighter checks the fuel levels for two firetrucks. One truck has 9.155 gallons of fuel and the other has 5.540 gallons of fuel. After refueling both trucks, he adds an additional 9.03 gallons. What is the total amount of fuel in gallons after the firefighter refueled both trucks?
Qwen2-Math 72B:
Reasoning: The firefighter adds 9.03 gallons to each truck, so the total amount of fuel added is 9.03 * 2 = <<9.03*2=18.06>>18.06 gallons. The total amount of fuel in both trucks before refueling is 9.155 + 5.540 = <<9.155+5.540=14.695>>14.695 gallons. After refueling, the total amount of fuel in both trucks is 14.695 + 18.06 = <<14.695+18.06=32.755>>32.755 gallons. ### Answer: 32.755
Expected answer: 23.7250000000000
Correct? No
Problem: A sunflower stem measures 23.57 cm at its longest but due to insufficient sunlight it shrunk to 11.58 cm. How much did the sunflower stem shrink?
Qwen2-Math 72B:
Reasoning: The sunflower stem shrunk 23.57-11.58 = <<23.57-11.58=11.99>>11.99 cm. ### Answer: 11.99
Expected answer: 11.9900000000000
Correct? Yes
Problem: Let's re-examine the sunflower stem scenario. Originally, we stated it shrunk from 23.57 cm to 11.58 cm due to insufficient sunlight. Suppose instead, its only shrank to 9 cm instead of 11.58 cm. How much did the sunflower stem shrink now?
Qwen2-Math 72B:
Reasoning: The sunflower stem shrunk 23.57-9 = <<23.57-9=14.57>>14.57 cm. ### Answer: 14.57
Expected answer: 14.5700000000000
Correct? Yes
Problem: A scented candle is usually priced at $18.77 but today it is discounted by $4.016. What is the current price of the scented candle?
Qwen2-Math 72B:
Reasoning: The current price of the scented candle is $18.77 - $4.016 = <<18.77-4.016=14.754>>$14.754. ### Answer: $14.754
Expected answer: 14.7540000000000
Correct? Yes
Problem: After buying the discounted candle, Helen realized she had a coupon that subtracts another $8.49 from her total payment. How much is the final price she has to pay for the candle after applying the coupon?
Qwen2-Math 72B:
Reasoning: The final price after applying the coupon is $14.754 - $8.49 = <<14.754-8.49=6.264>>$6.264. ### Answer: $6.264
Expected answer: 6.26400000000000
Correct? Yes
Problem: Recalling the previous scenario, let's imagine that initially, the scented candle was priced at $18.77, but today it's on a bigger discount of $9 instead of $4.016. What would be the current price of the scented candle with the bigger discount?
Qwen2-Math 72B:
Reasoning: The current price of the scented candle with the bigger discount is $18.77 - $9 = <<18.77-9=9.77>>$9.77. ### Answer: $9.77
Expected answer: 9.77000000000000
Correct? Yes
Problem: In a forest, there are 3.9km of northern trails and 7.4km of southern trails. If the total distance of all trails in the forest is 17.9km, how many kilometres of trails are not part of the northern or southern trails?
Qwen2-Math 72B:
Reasoning: The total distance of northern and southern trails is 3.9+7.4 = <<3.9+7.4=11.3>>11.3km. The distance of trails that are not part of the northern or southern trails is 17.9-11.3 = <<17.9-11.3=6.6>>6.6km. ### Answer: 6.6
Expected answer: 6.60000000000000
Correct? Yes
Problem: Upon reevaluating the forest trails, it was found that the length of the southern trails was actually 11km instead of 7.4km. Keeping the length of the northern trails and the total distance of all trails the same, how many kilometres of trails are not part of the northern or southern trails now?
Qwen2-Math 72B:
Reasoning: The total distance of northern and southern trails is now 3.9+11 = <<3.9+11=14.9>>14.9km. The distance of trails that are not part of the northern or southern trails is now 17.9-14.9 = <<17.9-14.9=3>>3km. ### Answer: 3
Expected answer: 3.00000000000000
Correct? Yes
Problem: A baby weighed 4.8 pounds at birth. After a few weeks, the baby gained 15.67 pounds. The baby's weight increased again by 6.5 pounds a few months later. What is the baby's weight now?
Qwen2-Math 72B:
Reasoning: The baby's weight after the first gain is 4.8 + 15.67 = <<4.8+15.67=20.47>>20.47 pounds. After the second gain, the baby's weight is 20.47 + 6.5 = <<20.47+6.5=26.97>>26.97 pounds. ### Answer: 26.97
Expected answer: 26.9700000000000
Correct? Yes
Problem: Previously, the baby's weight increased by 15.67 pounds a few weeks after birth. Suppose instead, the baby gained 11 pounds after a few weeks. The baby's weight still increased by 6.5 pounds a few months later. What would be the baby's weight now in this scenario?
Qwen2-Math 72B:
Reasoning: The baby's weight after the first gain is 4.8 + 11 = <<4.8+11=15.8>>15.8 pounds. After the second gain, the baby's weight is 15.8 + 6.5 = <<15.8+6.5=22.3>>22.3 pounds. ### Answer: 22.3
Expected answer: 22.3000000000000
Correct? Yes
Problem: Astronomer Tom has a powerful telescope with a focal length of 22.5 centimeters. He uses an eyepiece that extends the focal length by another 1.832 centimeters. What is the total length of his telescope?
Qwen2-Math 72B:
Reasoning: The total length of the telescope is the sum of the focal length of the telescope and the extension provided by the eyepiece. Total length = Focal length of telescope + Extension by eyepiece Total length = 22.5 cm + 1.832 cm Total length = <<22.5+1.832=24.332>>24.332 cm ### Answer: 24.332 cm
Expected answer: 24.3320000000000
Correct? Yes
Problem: With further calibration, Astronomer Tom realized the eyepiece only extends the telescope's focal length by an additional 2 centimeters, instead of the previous 1.832 centimeters. Considering this, what would be the new total focal length of his telescope?
Qwen2-Math 72B:
Reasoning: The new total focal length of the telescope is the sum of the original focal length and the new extension provided by the eyepiece. New total focal length = Original focal length + New extension by eyepiece New total focal length = 22.5 cm + 2 cm New total focal length = <<22.5+2=24.5>>24.5 cm ### Answer: 24.5 cm
Expected answer: 24.5000000000000
Correct? Yes
Problem: A window has a width of 17.9 inches and an additional length of 1.5 inches for the frame. What is the total width of the window including the frame?
Qwen2-Math 72B:
Reasoning: The total width of the window including the frame is 17.9 + 1.5 = <<17.9+1.5=19.4>>19.4 inches. ### Answer: 19.4
Expected answer: 19.4000000000000
Correct? Yes
Problem: After installing the window, the builder realizes he made an error and the opening for the window is actually 13.48 inches smaller than the total width of the window including the frame. What is the excess length of the window that couldn't fit into the opening?
Qwen2-Math 72B:
Reasoning: The excess length of the window that couldn't fit into the opening is 19.4 - 13.48 = <<19.4-13.48=5.92>>5.92 inches. ### Answer: 5.92
Expected answer: 5.92000000000000
Correct? Yes
Problem: Suppose the builder made a new window, this time with a width of 28 inches, plus an additional length of 1.5 inches for the frame, how long is the window including the frame this time?
Qwen2-Math 72B:
Reasoning: The total width of the new window including the frame is 28 + 1.5 = <<28+1.5=29.5>>29.5 inches. ### Answer: 29.5
Expected answer: 29.5000000000000
Correct? Yes
Problem: Your pen has 5.1ml of ink when it's new. If you add 22.4ml of ink into the pen, how much ink does the pen have in total?
Qwen2-Math 72B:
Reasoning: The pen has 5.1+22.4 = <<5.1+22.4=27.5>>27.5ml of ink in total. ### Answer: 27.5
Expected answer: 27.5000000000000
Correct? Yes
Problem: Suppose instead of starting with 5.1ml of ink in your pen, you started with 2ml of ink and then added 22.4ml of ink. How much ink does your pen have in total now?
Qwen2-Math 72B:
Reasoning: The pen has 2+22.4 = <<2+22.4=24.4>>24.4ml of ink in total. ### Answer: 24.4
Expected answer: 24.4000000000000
Correct? Yes
Problem: The perimeter of a square is found by adding the lengths of all its sides. If three sides of a square measure 15.4 cm in total, and the length of the remaining side is 1.828 cm, what is the total perimeter of the square?
Qwen2-Math 72B:
Reasoning: The total perimeter of the square is 15.4+1.828 = <<15.4+1.828=17.228>>17.228 cm. ### Answer: 17.228
Expected answer: 17.2280000000000
Correct? Yes
Problem: In addition to the square, there is a small rectangular tag attached to it. If the tag measures 2.114 cm in length, what is the combined length of the square's perimeter and the tag?
Qwen2-Math 72B:
Reasoning: The combined length of the square's perimeter and the tag is 17.228+2.114 = <<17.228+2.114=19.342>>19.342 cm. ### Answer: 19.342
Expected answer: 19.3420000000000
Correct? Yes
Problem: If instead of the original total length of three sides of the square being 15.4 cm, it was 24 cm, and the remaining side still measures 1.828 cm, what would then be the total perimeter of the square?
Qwen2-Math 72B:
Reasoning: The total perimeter of the square is 24+1.828 = <<24+1.828=25.828>>25.828 cm. ### Answer: 25.828
Expected answer: 25.8280000000000
Correct? Yes
Problem: In a document, a paragraph has 12.244 words. If we add the number of words in this paragraph to a similar one, then how many words do the two paragraphs have in total?
Qwen2-Math 72B:
Reasoning: The two paragraphs have 12.244+12.244 = <<12.244+12.244=24.488>>24.488 words in total. ### Answer: 24.488
Expected answer: 24.4880000000000
Correct? Yes
Problem: Having considered the paragraph with 12.244 words, let's say that instead, a paragraph contains 7 words. If we add these words to a similar paragraph, then how many words do the two paragraphs have in total?
Qwen2-Math 72B:
Reasoning: The two paragraphs have 7+7 = <<7+7=14>>14 words in total. ### Answer: 14
Expected answer: 14
Correct? Yes
Problem: In a letter writing competition, one of the participants wrote a letter having a length of 29.82 pages. However, the rules require only a maximum of 24.2 pages. How many extra pages did the participant write compared to the maximum limit?
Qwen2-Math 72B:
Reasoning: The participant wrote 29.82 - 24.2 = <<29.82-24.2=5.62>>5.62 extra pages compared to the maximum limit. ### Answer: 5.62
Expected answer: 5.62000000000000
Correct? Yes
Problem: Following the previous scenario, imagine if the participant had initially written 29.82 pages, but this time he decided to reduce it down to 28 pages. How many pages did he have to exclude from his letter in this scenario?
Qwen2-Math 72B:
Reasoning: The participant had to exclude 29.82 - 28 = <<29.82-28=1.82>>1.82 pages from his letter. ### Answer: 1.82
Expected answer: 1.82000000000000
Correct? Yes
Problem: At the zoo, a lion weights 28.32 pounds but loses 21.88 pounds. After gaining 3.4 pounds, what is the lion's new weight?
Qwen2-Math 72B:
Reasoning: The lion's weight after losing 21.88 pounds is 28.32-21.88 = <<28.32-21.88=6.44>>6.44 pounds. The lion's new weight after gaining 3.4 pounds is 6.44+3.4 = <<6.44+3.4=9.84>>9.84 pounds. ### Answer: 9.84
Expected answer: 9.84000000000000
Correct? Yes
Problem: In addition to the lion's new weight, a baby lion weighs 16.97 pounds. What is the total weight of both the lion and the baby lion?
Qwen2-Math 72B:
Reasoning: The total weight of both the lion and the baby lion is 9.84+16.97 = <<9.84+16.97=26.81>>26.81 pounds. ### Answer: 26.81
Expected answer: 26.8100000000000
Correct? Yes
Problem: In the previous scenario, if the lion initially weighed 28.32 pounds but loses 14 pounds instead, and still gains 3.4 pounds afterwards, what would be the lion's new weight then?
Qwen2-Math 72B:
Reasoning: The lion's weight after losing 14 pounds is 28.32-14 = <<28.32-14=14.32>>14.32 pounds. The lion's new weight after gaining 3.4 pounds is 14.32+3.4 = <<14.32+3.4=17.72>>17.72 pounds. ### Answer: 17.72
Expected answer: 17.7200000000000
Correct? Yes
Problem: Last month, it rained an average of 3.645 inches per day. Today's rainfall is increased by 3.741 inches. How much rain was there in inches today?
Qwen2-Math 72B:
Reasoning: Today's rainfall is increased by 3.741 inches, so today's rainfall is 3.645+3.741 = <<3.645+3.741=7.386>>7.386 inches. ### Answer: 7.386
Expected answer: 7.38600000000000
Correct? Yes
Problem: Continuing from the last scenario: After the increase in the daily rainfall today, an additional 4.51 inches of rain fell tonight. How much total rainfall was there today in inches?
Qwen2-Math 72B:
Reasoning: The total rainfall today is the sum of the increased rainfall and the additional rainfall tonight, which is 7.386+4.51 = <<7.386+4.51=11.896>>11.896 inches. ### Answer: 11.896
Expected answer: 11.8960000000000
Correct? Yes
Problem: A window has a length of 1.7 meters and a height of 9.448 meters. A larger window has its length equal to the length and height of the smaller window combined and an extra height of 7.619 meters. What is the total length and height of the larger window?
Qwen2-Math 72B:
Reasoning: The length of the larger window is 1.7+9.448 = <<1.7+9.448=11.148>>11.148 meters. The height of the larger window is 9.448+7.619 = <<9.448+7.619=17.067>>17.067 meters. The total length and height of the larger window is 11.148+17.067 = <<11.148+17.067=28.215>>28.215 meters. ### Answer: 28.215
Expected answer: 18.7670000000000
Correct? No
Problem: A pair of glasses at an optometrist's store cost $14.8. A special sturdy case for these glasses costs an additional $2.22. How much will it cost to buy the glasses and the case together?
Qwen2-Math 72B:
Reasoning: The total cost of the glasses and the case is $14.8 + $2.22 = <<14.8+2.22=17.02>>$17.02. ### Answer: $17.02
Expected answer: 17.0200000000000
Correct? Yes
Problem: In addition to the glasses and the special case, the eye checkup costs $3.0. How much would it cost in total to have an eye checkup, buy the glasses and special case together?
Qwen2-Math 72B:
Reasoning: The total cost of the eye checkup, glasses, and case is $17.02 + $3.0 = <<17.02+3=20.02>>$20.02. ### Answer: $20.02
Expected answer: 20.0200000000000
Correct? Yes
Problem: Suppose that a different pair of glasses costs $25, but the special sturdy case still costs an additional $2.22. How much will it cost in total to buy this new pair of glasses and the case together?
Qwen2-Math 72B:
Reasoning: The total cost of the new pair of glasses and the case is $25 + $2.22 = <<25+2.22=27.22>>$27.22. ### Answer: $27.22
Expected answer: 27.2200000000000
Correct? Yes
Problem: A roller skate normally costs $17.9, but is currently on sale with a discount of $8.069. How much does the sale price of the roller skate cost?
Qwen2-Math 72B:
Reasoning: The sale price of the roller skate is $17.9 - $8.069 = <<17.9-8.069=9.831>>$9.831. ### Answer: $9.831
Expected answer: 9.83100000000000
Correct? Yes
Problem: After finding the sale price of the roller skate, let's say that you also decide to purchase a special set of roller skate guards that cost $3.53. How much would you need to pay in total for the discounted roller skate and the set of roller skate guards?
Qwen2-Math 72B:
Reasoning: The total cost of the discounted roller skate and the set of roller skate guards is $9.831 + $3.53 = <<9.831+3.53=13.361>>$13.361. ### Answer: $13.361
Expected answer: 13.3610000000000
Correct? Yes
Problem: Let's consider a different scenario for the roller skate sale. If the discount on the roller skate was instead $6 from its original price of $17.9, how much would the roller skate cost after this new discount?
Qwen2-Math 72B:
Reasoning: The new sale price of the roller skate is $17.9 - $6 = <<17.9-6=11.9>>$11.9. ### Answer: $11.9
Expected answer: 11.9000000000000
Correct? Yes
Problem: In a sandbox, average weight of a single toy is 1.18 pounds. If a child put 23 toys in the sandbox, and added a castle mold that weighed 2.04 pounds, what would be the total weight of the items in the sandbox?
Qwen2-Math 72B:
Reasoning: The total weight of the toys is 23 * 1.18 = <<23*1.18=27.14>>27.14 pounds. The total weight of the items in the sandbox is 27.14 + 2.04 = <<27.14+2.04=29.18>>29.18 pounds. ### Answer: 29.18
Expected answer: 29.1800000000000
Correct? Yes
Problem: After playtime, the child removed some toys from the sandbox, which reduced the total weight by 26.016 pounds. What is the weight now of all the items in the sandbox?
Qwen2-Math 72B:
Reasoning: The weight of the items in the sandbox after removing some toys is 29.18 - 26.016 = <<29.18-26.016=3.164>>3.164 pounds. ### Answer: 3.164
Expected answer: 3.16400000000000
Correct? Yes
Problem: Suppose that instead of 23 toys, the child initially placed only 16 toys in the sandbox, keeping the weight of the castle mold the same at 2.04 pounds. What would then be the total weight of all the items in the sandbox?
Qwen2-Math 72B:
Reasoning: The total weight of the toys is 16 * 1.18 = <<16*1.18=18.88>>18.88 pounds. The total weight of the items in the sandbox is 18.88 + 2.04 = <<18.88+2.04=20.92>>20.92 pounds. ### Answer: 20.92
Expected answer: 20.9200000000000
Correct? Yes
Problem: At a campfire gathering, each person uses about 1.217 kg of firewood. If there are 18.89 people, approximately how much firewood will be used in total?
Qwen2-Math 72B:
Reasoning: To find the total amount of firewood used, we multiply the amount of firewood used by each person by the number of people. Total firewood used = 1.217 kg/person * 18.89 people = <<1.217*18.89=23.00293>>23.00293 kg ### Answer: 23.00293 kg
Expected answer: 22.9891300000000
Correct? No
Problem: A big marshmallow contains 6.1 grams of sugar. A small one has 4.64 grams. What is the total grams of sugar if you were to consume both types of marshmallows?
Qwen2-Math 72B:
Reasoning: The total grams of sugar is 6.1 + 4.64 = <<6.1+4.64=10.74>>10.74 grams. ### Answer: 10.74
Expected answer: 10.7400000000000
Correct? Yes
Problem: Following the previous question, if you were to consume another marshmallow containing 10.045 grams of sugar, along with the big and small marshmallow, what would be the total grams of sugar you would consume?
Qwen2-Math 72B:
Reasoning: The total grams of sugar is 10.74 + 10.045 = <<10.74+10.045=20.785>>20.785 grams. ### Answer: 20.785
Expected answer: 20.7850000000000
Correct? Yes
Problem: Following the previous question, if the amount of sugar in the big marshmallow was actually 6.1 grams and the small marshmallow contained only 2 grams of sugar, what would be the total grams of sugar you would consume from both marshmallows?
Qwen2-Math 72B:
Reasoning: The total grams of sugar is 6.1 + 2 = <<6.1+2=8.1>>8.1 grams. ### Answer: 8.1
Expected answer: 8.10000000000000
Correct? Yes
Problem: The weight of a toy car and a toy robot are 8.011 and 2.7 kilograms respectively. If we discount the collective weight by 9.526 kilograms, what is the resulting weight?
Qwen2-Math 72B:
Reasoning: The collective weight of the toy car and the toy robot is 8.011+2.7 = <<8.011+2.7=10.711>>10.711 kilograms. The resulting weight is 10.711-9.526 = <<10.711-9.526=1.185>>1.185 kilograms. ### Answer: 1.185
Expected answer: 1.18500000000000
Correct? Yes
Problem: Continuing from the previous question, if the resulting weight is translated to Newtons by multiplying each kilogram by 17.5, what will be the total weight in Newtons of the toy car and robot after the discount?
Qwen2-Math 72B:
Reasoning: The total weight in Newtons of the toy car and robot after the discount is 1.185*17.5 = <<1.185*17.5=20.7375>>20.7375 Newtons. ### Answer: 20.7375
Expected answer: 20.7375000000000
Correct? Yes
Problem: In the previous question, suppose the weight of the toy robot was actually 21 kilograms instead of 2.7 kilograms. After taking into account the 9.526 kilograms discount, what would be the new combined weight of the toy car and robot?
Qwen2-Math 72B:
Reasoning: The new collective weight of the toy car and the toy robot is 8.011+21 = <<8.011+21=29.011>>29.011 kilograms. The new resulting weight is 29.011-9.526 = <<29.011-9.526=19.485>>19.485 kilograms. ### Answer: 19.485
Expected answer: 19.4850000000000
Correct? Yes
Problem: A dog's meal should weigh 28.207 grams. If you already fed your dog 5.801 grams, how much more do you need to feed it if it needs to consume an additional 1.59 grams after this meal?
Qwen2-Math 72B:
Reasoning: The dog needs to consume 28.207+1.59 = <<28.207+1.59=29.8>>29.8 grams of meal in total. You need to feed the dog 29.8-5.801 = <<29.8-5.801=23.999>>23.999 grams more. ### Answer: 23.999
Expected answer: 23.9960000000000
Correct? Yes
Problem: Based on the previous scenario about the dog's meal, after you have completed feeding your dog according to its usual meal requirement, you decided to give it an extra treat which weighs 1.135 grams. What is the total amount of food in grams that your dog will have consumed after the extra treat is added?
Qwen2-Math 72B:
Reasoning: The dog will have consumed 28.207+1.135 = <<28.207+1.135=29.342>>29.342 grams of food after the extra treat is added. ### Answer: 29.342
Expected answer: 25.1310000000000
Correct? No
Problem: In the previous situation with the dog's meal, suppose we had initially planned on feeding the dog 21 grams. We already fed your dog 5.801 grams, and want to feed it an additional 1.59 grams. How much food in grams would we need to feed the dog now?
Qwen2-Math 72B:
Reasoning: The dog needs to consume 21+1.59 = <<21+1.59=22.59>>22.59 grams of meal in total. You need to feed the dog 22.59-5.801 = <<22.59-5.801=16.789>>16.789 grams more. ### Answer: 16.789
Expected answer: 16.7890000000000
Correct? Yes
Problem: A dolphin can leap a maximum of 9.8 feet out of the water. If it jumps an additional 11.484 feet during an extraordinary display, what is the total distance the dolphin covered?
Qwen2-Math 72B:
Reasoning: The total distance the dolphin covered is 9.8 + 11.484 = <<9.8+11.484=21.284>>21.284 feet. ### Answer: 21.284
Expected answer: 21.2840000000000
Correct? Yes
Problem: After the remarkable display, it was noticed that the dolphin only returned 9.8 feet back to the water level. What was the remaining distance the dolphin covered in mid-air?
Qwen2-Math 72B:
Reasoning: The remaining distance the dolphin covered in mid-air is 21.284 - 9.8 = <<21.284-9.8=11.484>>11.484 feet. ### Answer: 11.484
Expected answer: 11.4840000000000
Correct? Yes
Problem: In another remarkable leap, instead of rising an additional 11.484 feet, the dolphin soared an extra 20 feet above the initial 9.8 feet. What is the total distance the dolphin covered in this jump?
Qwen2-Math 72B:
Reasoning: The total distance the dolphin covered is 9.8 + 20 = <<9.8+20=29.8>>29.8 feet. ### Answer: 29.8
Expected answer: 29.8000000000000
Correct? Yes
Problem: A water bottle holds 7.55 liters of water initially. If you add 17.4 more liters of water, how many liters are in the water bottle?
Qwen2-Math 72B:
Reasoning: The water bottle holds 7.55+17.4 = <<7.55+17.4=24.95>>24.95 liters of water. ### Answer: 24.95
Expected answer: 24.9500000000000
Correct? Yes
Problem: In the previous scenario, let's reconsider the amount of water initially in the bottle. Imagine instead that the water bottle initially held 7.55 liters, but you only added 4 liters more. Now, how many liters of water are in the bottle?
Qwen2-Math 72B:
Reasoning: The water bottle holds 7.55+4 = <<7.55+4=11.55>>11.55 liters of water. ### Answer: 11.55
Expected answer: 11.5500000000000
Correct? Yes
Problem: If the eastern direction on a compass is represented by 25.348 degrees, and the southeastern direction is represented by 15.313 degrees. What is the difference between these two directions in degrees?
Qwen2-Math 72B:
Reasoning: The difference between the two directions is 25.348-15.313 = <<25.348-15.313=10.035>>10.035 degrees. ### Answer: 10.035
Expected answer: 10.0350000000000
Correct? Yes
Problem: Now consider a new scenario, where the eastern direction on a compass is represented by 28 degrees instead of 25.348. What is the difference between this new eastern direction and the previous southeastern direction in degrees?
Qwen2-Math 72B:
Reasoning: The difference between the new eastern direction and the previous southeastern direction is 28-15.313 = <<28-15.313=12.687>>12.687 degrees. ### Answer: 12.687
Expected answer: 12.6870000000000
Correct? Yes
Problem: A specific computer model costs $20.7. The store offers an upgrade that costs an additional $6.18. What will be the total cost for the upgraded computer model?
Qwen2-Math 72B:
Reasoning: The total cost for the upgraded computer model will be $20.7 + $6.18 = <<20.7+6.18=26.88>>$26.88. ### Answer: $26.88
Expected answer: 26.8800000000000
Correct? Yes
Problem: After purchasing the upgraded computer model, the buyer realizes that he has a voucher which gives a $17.29 discount on his next purchase. How much will the final cost of his purchase be after applying the voucher?
Qwen2-Math 72B:
Reasoning: The final cost of the purchase after applying the voucher will be $26.88 - $17.29 = <<26.88-17.29=9.59>>$9.59. ### Answer: $9.59
Expected answer: 9.59000000000000
Correct? Yes
Problem: Instead of the original computer model costing $20.7, consider if the computer model costs only $4. With the same upgrade cost of $6.18, what would be the total cost for the upgraded computer model now?
Qwen2-Math 72B:
Reasoning: The total cost for the upgraded computer model will be $4 + $6.18 = <<4+6.18=10.18>>$10.18. ### Answer: $10.18
Expected answer: 10.1800000000000
Correct? Yes
Problem: The weight of a teddy bear is 29.2 grams. It loses 9.1 grams of its stuffing. Together with it, a small ribbon weighing 6.62 grams is attached to it. How much does the teddy bear with missing stuffing and a ribbon weigh now?
Qwen2-Math 72B:
Reasoning: The teddy bear loses 9.1 grams of its stuffing, so it now weighs 29.2-9.1 = <<29.2-9.1=20.1>>20.1 grams. The teddy bear with missing stuffing and a ribbon weighs 20.1+6.62 = <<20.1+6.62=26.72>>26.72 grams. ### Answer: 26.72
Expected answer: 26.7200000000000
Correct? Yes
Problem: After the adjustments mentioned in the previous problem, the teddy bear is then placed in a box which weighs 2.55 grams less than the teddy bear's total weight. What does the box weigh?
Qwen2-Math 72B:
Reasoning: The box weighs 26.72-2.55 = <<26.72-2.55=24.17>>24.17 grams. ### Answer: 24.17
Expected answer: 24.1700000000000
Correct? Yes
Problem: A blanket has a temperature of 17.8Β°C. However, if it is used for a period of time, the temperature drops to 7.24Β°C. How many degrees Celsius does the temperature of the blanket drop by?
Qwen2-Math 72B:
Reasoning: The temperature of the blanket drops by 17.8-7.24 = <<17.8-7.24=10.56>>10.56 degrees Celsius. ### Answer: 10.56
Expected answer: 10.5600000000000
Correct? Yes
Problem: Suppose the blanket initially had a temperature of 12Β°C instead of 17.8Β°C before it dropped to 7.24Β°C. How many degrees Celsius does the temperature of the blanket drop by now?
Qwen2-Math 72B:
Reasoning: The temperature of the blanket drops by 12-7.24 = <<12-7.24=4.76>>4.76 degrees Celsius. ### Answer: 4.76
Expected answer: 4.76000000000000
Correct? Yes
Problem: A jacket initially costs $13.3. However, there is a discount that reduces the price by $4.971. What is the cost of the jacket after the discount?
Qwen2-Math 72B:
Reasoning: The cost of the jacket after the discount is $13.3 - $4.971 = <<13.3-4.971=8.329>>$8.329. ### Answer: $8.329
Expected answer: 8.32900000000000
Correct? Yes
Problem: After paying for the discounted jacket, how much money did you actually save from the original price?
Qwen2-Math 72B:
Reasoning: The original price of the jacket was $13.3. After the discount, the price was $8.329. Therefore, you saved $13.3 - $8.329 = <<13.3-8.329=4.971>>$4.971. ### Answer: $4.971
Expected answer: 4.97100000000000
Correct? Yes
Problem: Suppose instead of the original price being $13.3, the jacket initially costs $30, how much would the jacket cost after applying the same discount of $4.971?
Qwen2-Math 72B:
Reasoning: The cost of the jacket after the discount is $30 - $4.971 = <<30-4.971=25.029>>$25.029. ### Answer: $25.029
Expected answer: 25.0290000000000
Correct? Yes
Problem: Charlie has a unique ball that weighs 3.9 lbs. He adds two materials to the ball, first material weighing 14.2 lbs and the second material weighing 2.642 lbs. What is the total weight of the ball after adding both materials?
Qwen2-Math 72B:
Reasoning: The total weight of the ball after adding both materials is 3.9 + 14.2 + 2.642 = <<3.9+14.2+2.642=20.742>>20.742 lbs. ### Answer: 20.742
Expected answer: 20.7420000000000
Correct? Yes
Problem: In the previous problem where Charlie added materials to the ball, let's consider a change. If the weight of the second material he added was 6 lbs instead of 2.642 lbs, what would be the total weight of the ball after adding both materials?
Qwen2-Math 72B:
Reasoning: The total weight of the ball after adding both materials is 3.9 + 14.2 + 6 = <<3.9+14.2+6=24.1>>24.1 lbs. ### Answer: 24.1
Expected answer: 24.1000000000000
Correct? Yes
Problem: The distance from the earth to the sun is 26.6 million miles. If a spacecraft has already traveled 15.818 million miles, how much farther does it need to travel? If it needs to stop at a station that is 10.5 million miles away from its current position, what is the total distance the spacecraft has to travel? If after the stop, it has to detour another 4.27 million miles because of space debris, what will be the final total distance the spacecraft has to travel to reach the sun?
Qwen2-Math 72B:
Reasoning: The spacecraft needs to travel 26.6-15.818 = <<26.6-15.818=10.782>>10.782 million miles to reach the sun. The total distance the spacecraft has to travel to reach the station is 10.782+10.5 = <<10.782+10.5=21.282>>21.282 million miles. After the stop, the spacecraft has to travel 21.282+4.27 = <<21.282+4.27=25.552>>25.552 million miles to reach the sun. ### Answer: 25.552 million miles
Expected answer: 25.5520000000000
Correct? Yes
Problem: Considering the same scenario as before, but suppose the distance from the earth to the sun is now 18 million miles instead of 26.6 million miles. With the spacecraft still having traveled 15.818 million miles, how much further does it need to go? If it still needs to stop at a station that is 10.5 million miles away from its current position, what is the new total distance the spacecraft has to travel? And if it still has to detour another 4.27 million miles because of space debris, what will be the new final total distance the spacecraft has to travel to reach the sun?
Qwen2-Math 72B:
Reasoning: The spacecraft needs to travel 18-15.818 = <<18-15.818=2.182>>2.182 million miles to reach the sun. The total distance the spacecraft has to travel to reach the station is 2.182+10.5 = <<2.182+10.5=12.682>>12.682 million miles. After the stop, the spacecraft has to travel 12.682+4.27 = <<12.682+4.27=16.952>>16.952 million miles to reach the sun. ### Answer: 16.952 million miles
Expected answer: 16.9520000000000
Correct? Yes
Problem: An eraser company makes two types of erasers: Type A weighs 12.2 grams and Type B weighs 15.0 grams. What is the total weight of one Type A eraser and one Type B eraser?
Qwen2-Math 72B:
Reasoning: The total weight of one Type A eraser and one Type B eraser is 12.2 + 15.0 = <<12.2+15.0=27.2>>27.2 grams. ### Answer: 27.2
Expected answer: 27.2000000000000
Correct? Yes
Problem: Following up on the previous problem, suppose that after production, the company found that the Type A erasers are having an excess weight amounting to 1.49 grams which needs to be trimmed off each eraser. What will then be the new combined weight of one Type A and Type B eraser after the excess weight from Type A is trimmed off?
Qwen2-Math 72B:
Reasoning: The new weight of Type A eraser after trimming off the excess weight is 12.2 - 1.49 = <<12.2-1.49=10.71>>10.71 grams. The new combined weight of one Type A and Type B eraser after the excess weight from Type A is trimmed off is 10.71 + 15.0 = <<10.71+15.0=25.71>>25.71 grams. ### Answer: 25.71
Expected answer: 25.7100000000000
Correct? Yes
Problem: Considering the previous scenario, what will be the total weight if, instead of a type A eraser, the company decides to pair two Type B erasers, each weighing 15 grams?
Qwen2-Math 72B:
Reasoning: The total weight of two Type B erasers is 15 + 15 = <<15+15=30>>30 grams. ### Answer: 30
Expected answer: 30.0000000000000
Correct? Yes
Problem: A coffee shop sells hot chocolate that is prepared with 11.07 grams of chocolate mix and 18.213 grams of sugar. How many grams are there in total in the hot chocolate mix?
Qwen2-Math 72B:
Reasoning: The total grams in the hot chocolate mix is 11.07 + 18.213 = <<11.07+18.213=29.283>>29.283 grams. ### Answer: 29.283
Expected answer: 29.2830000000000
Correct? Yes
Problem: After preparing the hot chocolate mix with 11.07 grams of chocolate mix and 18.213 grams of sugar, a barista decides to remove 13.93 grams of the mix to make it less sweet. How many grams are left in the hot chocolate mix now?
Qwen2-Math 72B:
Reasoning: The total grams in the hot chocolate mix is 29.283 grams. The barista removes 13.93 grams of the mix. The grams left in the hot chocolate mix is 29.283 - 13.93 = <<29.283-13.93=15.353>>15.353 grams. ### Answer: 15.353
Expected answer: 15.3530000000000
Correct? Yes
Problem: If instead of 11.07 grams of chocolate mix, the coffee shop decides to add only 2 grams of chocolate mix to the 18.213 grams of sugar, how many grams would there be in total in the hot chocolate mix?
Qwen2-Math 72B:
Reasoning: The total grams in the hot chocolate mix is 2 + 18.213 = <<2+18.213=20.213>>20.213 grams. ### Answer: 20.213
Expected answer: 20.2130000000000
Correct? Yes
Problem: A bookstore had 16.551 books and sold 2.8 books in the morning. In the afternoon, an additional 7.268 books were sold. How many books are left in the bookstore after this?
Qwen2-Math 72B:
Reasoning: The bookstore sold 2.8+7.268 = <<2.8+7.268=10.068>>10.068 books in total. The bookstore has 16.551-10.068 = <<16.551-10.068=6.483>>6.483 books left. ### Answer: 6.483
Expected answer: 6.48300000000000
Correct? Yes
Problem: In the same bookstore, there were originally 25 books instead of 16.551. After selling the same number of books in the morning and afternoon as before (2.8 and 7.268), how many books would now be left in the bookstore?
Qwen2-Math 72B:
Reasoning: The bookstore sold 2.8+7.268 = <<2.8+7.268=10.068>>10.068 books in total. The bookstore has 25-10.068 = <<25-10.068=14.932>>14.932 books left. ### Answer: 14.932
Expected answer: 14.9320000000000
Correct? Yes
Problem: In searching for hidden treasure in an old shipwreck, you found a treasure chest weighing 14.755650000000001 kilograms. If the maritime version of gold's worth is 10.81 kilograms per seashell, how many seashells is the treasure chest worth? If you could sell each seashell for $7.19, how much could you earn from selling all the seashells represented by the weight of the treasure chest?
Qwen2-Math 72B:
Reasoning: To find out how many seashells the treasure chest is worth, we need to divide the weight of the treasure chest by the weight of one seashell. Weight of treasure chest = 14.755650000000001 kg Weight of one seashell = 10.81 kg Number of seashells = Weight of treasure chest / Weight of one seashell Number of seashells = 14.755650000000001 kg / 10.81 kg Number of seashells = 1.364 Since we can't have a fraction of a seashell, we'll round down to the nearest whole number. So, the treasure chest is worth 1 seashell. Now, to find out how much you could earn from selling all the seashells, we need to multiply the number of seashells by the price of one seashell. Number of seashells = 1 Price of one seashell = $7.19 Total earnings = Number of seashells * Price of one seashell Total earnings = 1 * $7.19 Total earnings = $7.19 ### Answer: $7.19
Expected answer: 9.81435000000000
Correct? No
Problem: A baby's birth weight is typically around 18.4 ounces. If a particular baby gains 6.97 ounces more than this average weight during the first month, what is the baby's weight then?
Qwen2-Math 72B:
Reasoning: The baby's weight after gaining 6.97 ounces is 18.4 + 6.97 = <<18.4+6.97=25.37>>25.37 ounces. ### Answer: 25.37
Expected answer: 25.3700000000000
Correct? Yes
Problem: A baby's birth weight is typically around 18.4 ounces. If a particular baby gains 6.97 ounces more than this average weight during the first month, what is the baby's weight then? If this baby then loses 21.754 ounces, what will be the baby's new weight?
Qwen2-Math 72B:
Reasoning: The baby's weight after gaining 6.97 ounces is 18.4 + 6.97 = <<18.4+6.97=25.37>>25.37 ounces. The baby's weight after losing 21.754 ounces is 25.37 - 21.754 = <<25.37-21.754=3.616>>3.616 ounces. ### Answer: 3.616
Expected answer: 3.61600000000000
Correct? Yes
Problem: A baby's birth weight is typically around 18.4 ounces. If a particular baby gains 7 ounces more than the average weight during the first month rather than the previous 6.97 ounces scenario, what is the baby's new weight then?
Qwen2-Math 72B:
Reasoning: The baby's weight after gaining 7 ounces is 18.4 + 7 = <<18.4+7=25.4>>25.4 ounces. ### Answer: 25.4
Expected answer: 25.4000000000000
Correct? Yes
Problem: An eraser is 1.4 cm long and 6.7 cm wide. Calculate the surface area of the eraser.
Qwen2-Math 72B:
Reasoning: The surface area of a rectangle is calculated by multiplying its length by its width. Surface area = length x width = 1.4 cm x 6.7 cm = <<1.4*6.7=9.38>>9.38 cmΒ² ### Answer: 9.38 cmΒ²
Expected answer: 9.38000000000000
Correct? Yes
Problem: In addition to the first eraser, Carl buys an identical eraser. Calculate the total surface area of the two erasers together.
Qwen2-Math 72B:
Reasoning: Since the two erasers are identical, the total surface area of the two erasers together is twice the surface area of one eraser. Total surface area = 2 x surface area of one eraser = 2 x 9.38 cmΒ² = <<2*9.38=18.76>>18.76 cmΒ² ### Answer: 18.76 cmΒ²
Expected answer: 18.7600000000000
Correct? Yes
Problem: Suppose the original eraser is actually 1.4 cm long but 18 cm wide instead. What would be the new surface area of this eraser?
Qwen2-Math 72B:
Reasoning: The surface area of a rectangle is calculated by multiplying its length by its width. Surface area = length x width = 1.4 cm x 18 cm = <<1.4*18=25.2>>25.2 cmΒ² ### Answer: 25.2 cmΒ²
Expected answer: 25.2000000000000
Correct? Yes
Problem: A UFO is spotted at an altitude of 28.571 miles. It descends by 14.06 miles. Then it descends another 12.7 miles. Shortly after, it rises by 16.4 miles. What is the altitude of the UFO now?
Qwen2-Math 72B:
Reasoning: The UFO descends by 14.06 miles, so its altitude is 28.571-14.06 = <<28.571-14.06=14.511>>14.511 miles. Then it descends another 12.7 miles, so its altitude is 14.511-12.7 = <<14.511-12.7=1.811>>1.811 miles. Then it rises by 16.4 miles, so its altitude is 1.811+16.4 = <<1.811+16.4=18.211>>18.211 miles. ### Answer: 18.211
Expected answer: 18.2110000000000
Correct? Yes
Problem: After reaching its new altitude, the UFO then ascends an additional 2.4 miles. What is its altitude now?
Qwen2-Math 72B:
Reasoning: The UFO ascends an additional 2.4 miles, so its altitude is 18.211+2.4 = <<18.211+2.4=20.611>>20.611 miles. ### Answer: 20.611
Expected answer: 20.6110000000000
Correct? Yes
Problem: After the initial series of ascents and descents, what would the altitude of the UFO have been if instead of rising by 16.4 miles it had risen by 19 miles?
Qwen2-Math 72B:
Reasoning: The UFO descends by 14.06 miles, so its altitude is 28.571-14.06 = <<28.571-14.06=14.511>>14.511 miles. Then it descends another 12.7 miles, so its altitude is 14.511-12.7 = <<14.511-12.7=1.811>>1.811 miles. Then it rises by 19 miles, so its altitude is 1.811+19 = <<1.811+19=20.811>>20.811 miles. ### Answer: 20.811
Expected answer: 20.8110000000000
Correct? Yes
Problem: A woman bought a skirt where the cost of the fabric is $3.935 and the cost of the workmanship is $6.78. What is the total cost for the skirt?
Qwen2-Math 72B:
Reasoning: The total cost for the skirt is $3.935 + $6.78 = <<3.935+6.78=10.715>>$10.715. ### Answer: $10.715
Expected answer: 10.7150000000000
Correct? Yes
Problem: In addition to the cost of the skirt's fabric and workmanship which was $3.935 and $6.78 respectively, there was an extra cost for specific design elements of $1.803. What is the total cost of the skirt now?
Qwen2-Math 72B:
Reasoning: The total cost for the skirt is now $3.935 + $6.78 + $1.803 = <<3.935+6.78+1.803=12.518>>$12.518. ### Answer: $12.518
Expected answer: 12.5180000000000
Correct? Yes
Problem: If instead of $6.78, the cost of the workmanship for the skirt was $25 while the cost of the fabric remained at $3.935, what would be the total cost for the skirt?
Qwen2-Math 72B:
Reasoning: The total cost for the skirt would be $3.935 + $25 = <<3.935+25=28.935>>$28.935. ### Answer: $28.935
Expected answer: 28.9350000000000
Correct? Yes
Problem: A top and bottom combo of a dress set is sold separately. The top costs $5.9 and the bottom costs $5.5. What is the total price of the entire dress set?
Qwen2-Math 72B:
Reasoning: The total price of the dress set is $5.9+$5.5 = <<5.9+5.5=11.4>>$11.4. ### Answer: $11.4
Expected answer: 11.4000000000000
Correct? Yes
Problem: Considering the price of the top and bottom combo of the dress set, if a customer also decides to buy a matching coat priced at $17.58 to complete her outfit, what is the total cost of her purchase?
Qwen2-Math 72B:
Reasoning: The total cost of the dress set is $11.4. The total cost of the dress set and the coat is $11.4+$17.58 = <<11.4+17.58=28.98>>$28.98. ### Answer: $28.98
Expected answer: 28.9800000000000
Correct? Yes
Problem: If the price of the top part of the dress set is actually $3 instead of $5.9, and the bottom still costs $5.5, what would be the new total price of the dress set?
Qwen2-Math 72B:
Reasoning: The new total price of the dress set is $3+$5.5 = <<3+5.5=8.5>>$8.5. ### Answer: $8.5
Expected answer: 8.50000000000000
Correct? Yes
Problem: Captain Jack has a treasure chest with 22.83 gold coins. He spends 10.198 coins on a new pirate map. How many gold coins does he have left?
Qwen2-Math 72B:
Reasoning: Captain Jack has 22.83-10.198 = <<22.83-10.198=12.632>>12.632 gold coins left. ### Answer: 12.632
Expected answer: 12.6320000000000
Correct? Yes
Problem: Following the previous question, what if the treasure chest originally had 14 gold coins instead of 22.83 gold coins? After spending 10.198 coins on a new pirate map, how many gold coins would Captain Jack have left?
Qwen2-Math 72B:
Reasoning: Captain Jack has 14-10.198 = <<14-10.198=3.802>>3.802 gold coins left. ### Answer: 3.802
Expected answer: 3.80200000000000
Correct? Yes
Problem: Princess Mia has a particular type of magical gemstone that powers her kingdom. Each gemstone weighs 6.7 grams. One day, she decides to gather two of these gemstones. But disaster strikes! A mischievous goblin steals 9.483 grams worth of gemstones from Mia. How many grams of gemstones does Princess Mia have left after the goblin's mischievous act?
Qwen2-Math 72B:
Reasoning: Mia initially has 6.7 grams of gemstones. She gathers two more gemstones, so she now has 6.7 + 6.7 = <<6.7+6.7=13.4>>13.4 grams of gemstones. The goblin steals 9.483 grams of gemstones, so Mia has 13.4 - 9.483 = <<13.4-9.483=3.917>>3.917 grams of gemstones left. ### Answer: 3.917
Expected answer: 3.91700000000000
Correct? Yes
Problem: After realizing that Princess Mia's gemstones have been partially stolen, her loyal subjects present her with an additional gemstone weighing 6.5 grams as a gift to help make up for her loss. How many grams of gemstones does Princess Mia have now after receiving this gift?
Qwen2-Math 72B:
Reasoning: Mia initially has 3.917 grams of gemstones. Her subjects give her a gemstone weighing 6.5 grams, so she now has 3.917 + 6.5 = <<3.917+6.5=10.417>>10.417 grams of gemstones. ### Answer: 10.417
Expected answer: 10.4170000000000
Correct? Yes
Problem: Suppose that instead of the goblin stealing 9.483 grams of gemstones, he was only able to steal 7 grams worth of gemstones. In that case, how many grams of gemstones would Princess Mia have then?
Qwen2-Math 72B:
Reasoning: Mia initially has 6.7 grams of gemstones. She gathers two more gemstones, so she now has 6.7 + 6.7 = <<6.7+6.7=13.4>>13.4 grams of gemstones. The goblin steals 7 grams of gemstones, so Mia has 13.4 - 7 = <<13.4-7=6.4>>6.4 grams of gemstones left. ### Answer: 6.4
Expected answer: 6.40000000000000
Correct? Yes
Problem: A zoo has 22.8 kilograms of food for the animals. The lion is fed 5.0 kilograms of food. How much food is left in the zoo after feeding the lion?
Qwen2-Math 72B:
Reasoning: The zoo has 22.8-5.0 = <<22.8-5.0=17.8>>17.8 kilograms of food left after feeding the lion. ### Answer: 17.8
Expected answer: 17.8000000000000
Correct? Yes
Problem: After feeding the lion, the zookeepers realize that a delivery of an additional 6.91 kilograms of food has arrived. What is the total amount of food for the animals in the zoo after the additional food delivery?
Qwen2-Math 72B:
Reasoning: The zoo has 17.8+6.91 = <<17.8+6.91=24.71>>24.71 kilograms of food after the additional food delivery. ### Answer: 24.71
Expected answer: 24.7100000000000
Correct? Yes
Problem: Earlier, the zoo had 23 kilograms of food for the animals, but they fed 5.0 kilograms of it to the lion. Now, how much food is left in the zoo after feeding the lion under these new circumstances?
Qwen2-Math 72B:
Reasoning: The zoo has 23-5.0 = <<23-5.0=18>>18 kilograms of food left after feeding the lion. ### Answer: 18
Expected answer: 18.0000000000000
Correct? Yes
Problem: At a party, each guest is offered 1.625 ounces of a party mix snack. If there are 14.149 guests, how many ounces of party mix will be eaten in total?
Qwen2-Math 72B:
Reasoning: To find the total amount of party mix eaten, we need to multiply the amount of party mix each guest is offered by the number of guests. Total party mix eaten = 1.625 ounces/guest * 14.149 guests = <<1.625*14.149=22.999625>>22.999625 ounces ### Answer: 22.999625 ounces
Expected answer: 22.9921250000000
Correct? No
Problem: Linda noticed her favourite doll was initially priced at $26.63 in a store. However, it was marked down by $16.41 during a sale. How much does the doll cost after the discount?
Qwen2-Math 72B:
Reasoning: The doll's price after the discount is $26.63 - $16.41 = <<26.63-16.41=10.22>>$10.22. ### Answer: $10.22
Expected answer: 10.2200000000000
Correct? Yes
Problem: After Linda noticed the discount and purchased the favorite doll, she also found a cute dress for the doll that costs $10.52. How much will Linda spend in total for the doll and the dress?
Qwen2-Math 72B:
Reasoning: Linda spent $10.22 on the doll and $10.52 on the dress, so she spent $10.22 + $10.52 = <<10.22+10.52=20.74>>$20.74 in total. ### Answer: $20.74
Expected answer: 20.7400000000000
Correct? Yes
Problem: A pair of pants have a length of 9.8 inches and an extra material of 7.7 inches is added for adjustments. After the adjustment, an additional cloth of 6.757 inches was added for the design. What is the overall length of the pants including the adjustments and design?
Qwen2-Math 72B:
Reasoning: The length of the pants after the adjustment is 9.8+7.7 = <<9.8+7.7=17.5>>17.5 inches. The overall length of the pants including the adjustments and design is 17.5+6.757 = <<17.5+6.757=24.257>>24.257 inches. ### Answer: 24.257
Expected answer: 24.2570000000000
Correct? Yes
Problem: Let's consider a new pair of pants. Initially, this pair has a length of 11 inches. An extra material of 7.7 inches is added for adjustments, similar to the previous pair. Then, again, an additional cloth of 6.757 inches is added for the design. What is the overall length of this new pair of pants including the adjustments and design?
Qwen2-Math 72B:
Reasoning: The length of the new pair of pants after the adjustment is 11+7.7 = <<11+7.7=18.7>>18.7 inches. The overall length of the new pair of pants including the adjustments and design is 18.7+6.757 = <<18.7+6.757=25.457>>25.457 inches. ### Answer: 25.457
Expected answer: 25.4570000000000
Correct? Yes
Problem: A specific pen has an initial weight of 13.964 grams. After using it for a while, the weight is reduced to 11.59 grams. If the weight of the pen case is 24.0 grams, what is the total weight of the pen and its case after using the pen for some time?
Qwen2-Math 72B:
Reasoning: The weight of the pen after use is 13.964 - 11.59 = <<13.964-11.59=2.374>>2.374 grams. The total weight of the pen and its case after use is 2.374 + 24.0 = <<2.374+24.0=26.374>>26.374 grams. ### Answer: 26.374
Expected answer: 26.3740000000000
Correct? Yes
Problem: The pen you were using had an initial weight of 17 grams. After using it for a while, the weight is reduced to 11.59 grams. If the weight of the pen case is 24.0 grams, what is the total weight of the pen and its case after using the pen for some time?
Qwen2-Math 72B:
Reasoning: The weight of the pen after use is 17 - 11.59 = <<17-11.59=5.41>>5.41 grams. The total weight of the pen and its case after use is 5.41 + 24.0 = <<5.41+24.0=29.41>>29.41 grams. ### Answer: 29.41
Expected answer: 29.4100000000000
Correct? Yes
Problem: The bed of a small truck is 2.06 meters long and 1.32 meters wide. What is the area of the truck bed in square meters?
Qwen2-Math 72B:
Reasoning: The area of a rectangle is calculated by multiplying its length by its width. Area = length Γ width Area = 2.06 m Γ 1.32 m Area = 2.7272 square meters ### Answer: 2.7272
Expected answer: 2.71920000000000
Correct? No
Problem: In a marine study, a particular species of starfish has an average weight of 2.967 grams. A researcher finds a group of 6.52 starfish on average in a certain area. However, a starfish weighs 7.36 grams less than the total weight of the group starfish found in that area. What is the weight of this starfish in grams?
Qwen2-Math 72B:
Reasoning: The total weight of the group starfish found in that area is 2.967*6.52 = <<2.967*6.52=19.32484>>19.32484 grams. The weight of this starfish is 19.32484-7.36 = <<19.32484-7.36=11.96484>>11.96484 grams. ### Answer: 11.96484
Expected answer: 11.9848400000000
Correct? No
Problem: A monkey jumps 1.627 meters high in one jump. If he manages to jump 11.0 meters further in his second jump, how high does he jump altogether?
Qwen2-Math 72B:
Reasoning: The monkey jumps 1.627+11.0 = <<1.627+11.0=12.627>>12.627 meters in his second jump. The monkey jumps 1.627+12.627 = <<1.627+12.627=14.254>>14.254 meters altogether. ### Answer: 14.254
Expected answer: 12.6270000000000
Correct? No
Problem: The height of a club sandwich is 1.61 inches. Find the square of the height of the sandwich.
Qwen2-Math 72B:
Reasoning: The square of the height of the sandwich is 1.61*1.61 = <<1.61*1.61=2.5921>>2.5921. ### Answer: 2.5921
Expected answer: 2.59210000000000
Correct? Yes
Problem: In addition to knowing the square of the height of the club sandwich, what would be the volume if the sandwich was shaped like a cube?
Qwen2-Math 72B:
Reasoning: The volume of a cube is the side length cubed. Since the side length is the height of the sandwich, the volume is 1.61^3 = <<1.61^3=4.197361>>4.197361 cubic inches. ### Answer: 4.197361
Expected answer: 4.17328100000000
Correct? No
Problem: If the height of the club sandwich was actually 2 inches instead of 1.61 inches, what would be the new square of the height of the sandwich?
Qwen2-Math 72B:
Reasoning: The new square of the height of the sandwich would be 2*2 = <<2*2=4>>4. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: A clock ticks 6.645 second per cycle after midnight and adds an additional 13.52 seconds for the hourly chime. How long, in seconds, does it take for one full cycle of the clock, including the hourly chime?
Qwen2-Math 72B:
Reasoning: The clock ticks 6.645 seconds per cycle. The clock adds an additional 13.52 seconds for the hourly chime. The total time for one full cycle of the clock, including the hourly chime, is 6.645 + 13.52 = <<6.645+13.52=20.165>>20.165 seconds. ### Answer: 20.165
Expected answer: 20.1650000000000
Correct? Yes
Problem: After the one full cycle of the clock, the clockmaker adjusted the clock by taking off 1.6 seconds from the cycle time. How long, in seconds, does the clock take for one full cycle after the clockmaker's adjustment?
Qwen2-Math 72B:
Reasoning: The clock takes 20.165 seconds for one full cycle before the adjustment. The clockmaker took off 1.6 seconds from the cycle time. The clock takes 20.165 - 1.6 = <<20.165-1.6=18.565>>18.565 seconds for one full cycle after the clockmaker's adjustment. ### Answer: 18.565
Expected answer: 18.5650000000000
Correct? Yes
Problem: In a new adjustment, the clockmaker changes the hourly chime to add an additional 20 seconds to the clock's cycle time instead of the previous 13.52 seconds. How long, in seconds, does it take for one full cycle of the clock, including the new hourly chime, after this adjustment?
Qwen2-Math 72B:
Reasoning: The clock ticks 6.645 seconds per cycle. The clock adds an additional 20 seconds for the new hourly chime. The total time for one full cycle of the clock, including the new hourly chime, is 6.645 + 20 = <<6.645+20=26.645>>26.645 seconds. ### Answer: 26.645
Expected answer: 26.6450000000000
Correct? Yes
Problem: John originally had $13.079 in his wallet. After buying a pack of pens, he was left with $11.967. How much did the pens cost?
Qwen2-Math 72B:
Reasoning: The pens cost $13.079 - $11.967 = <<13.079-11.967=1.112>>$1.112. ### Answer: $1.112
Expected answer: 1.11200000000000
Correct? Yes
Problem: In addition to the pens, John also bought a notebook for $4.7. How much total did John spend on the pens and the notebook?
Qwen2-Math 72B:
Reasoning: John spent $1.112 on the pens and $4.7 on the notebook. John spent $1.112 + $4.7 = <<1.112+4.7=5.812>>$5.812 total on the pens and the notebook. ### Answer: $5.812
Expected answer: 5.81200000000000
Correct? Yes
Problem: A type of strawberry is sold at a weight of 23.21g. If an apple that has a weight of 3.759g is added, what is the total weight of them both?
Qwen2-Math 72B:
Reasoning: The total weight of the strawberry and the apple is 23.21 + 3.759 = <<23.21+3.759=26.969>>26.969g. ### Answer: 26.969
Expected answer: 26.9690000000000
Correct? Yes
Problem: Following the previous problem, if the total weight of the strawberry and the apple is subtracted by the weight of a small blueberry that weighs 2.22g, what is the net weight of the remaining apple and strawberry?
Qwen2-Math 72B:
Reasoning: The net weight of the remaining apple and strawberry is 26.969 - 2.22 = <<26.969-2.22=24.749>>24.749g. ### Answer: 24.749
Expected answer: 24.7490000000000
Correct? Yes
Problem: Following on from the previous problems, suppose the weight of the strawberry is still 23.21g, but instead of an apple, now a cherry of 2g is added to the strawberry. What is the total weight of the strawberry and cherry combined?
Qwen2-Math 72B:
Reasoning: The total weight of the strawberry and the cherry is 23.21 + 2 = <<23.21+2=25.21>>25.21g. ### Answer: 25.21
Expected answer: 25.2100000000000
Correct? Yes
Problem: You bought a gaming mouse that cost $11.57. You also purchased an additional gaming accessory that was $16.99 more expensive than the mouse. How much did the gaming accessory cost?
Qwen2-Math 72B:
Reasoning: The gaming accessory cost $11.57 + $16.99 = <<11.57+16.99=28.56>>$28.56. ### Answer: $28.56
Expected answer: 28.5600000000000
Correct? Yes
Problem: Following your previous purchases, you found a desirable mousepad that costs $5.10 less than the cost of the gaming accessory you acquired. How much does the mousepad cost?
Qwen2-Math 72B:
Reasoning: The mousepad costs $28.56 - $5.10 = <<28.56-5.10=23.46>>$23.46. ### Answer: $23.46
Expected answer: 23.4600000000000
Correct? Yes
Problem: Suppose instead of the gaming accessory that was $16.99 more expensive than the gaming mouse, you saw another accessory that was $13 more expensive than the gaming mouse. How much does this new accessory cost?
Qwen2-Math 72B:
Reasoning: The new gaming accessory cost $11.57 + $13 = <<11.57+13=24.57>>$24.57. ### Answer: $24.57
Expected answer: 24.5700000000000
Correct? Yes
Problem: If a pen costs $18.33 and additionally $10.727 for its fancy pen case, how much money will the full set cost you?
Qwen2-Math 72B:
Reasoning: The full set will cost you $18.33+$10.727 = <<18.33+10.727=29.057>>$29.057. ### Answer: $29.057
Expected answer: 29.0570000000000
Correct? Yes
Problem: Following the previous problem, if you then applied a coupon worth $17.79 to your purchase, how much money would you need to buy the full set then?
Qwen2-Math 72B:
Reasoning: You would need to pay $29.057-$17.79 = <<29.057-17.79=11.267>>$11.267. ### Answer: $11.267
Expected answer: 11.2670000000000
Correct? Yes
Problem: Considering the previous scenario, what would be the price of the full set if the pen only cost $6 instead of $18.33?
Qwen2-Math 72B:
Reasoning: The full set would cost you $6+$10.727 = <<6+10.727=16.727>>$16.727. ### Answer: $16.727
Expected answer: 16.7270000000000
Correct? Yes
Problem: At the zoo, an elephant eats 4.36 kilograms of food every meal. If it eats two meals, how many kilograms of food does the elephant eat in total?
Qwen2-Math 72B:
Reasoning: The elephant eats 4.36*2 = <<4.36*2=8.72>>8.72 kilograms of food in total. ### Answer: 8.72
Expected answer: 8.72000000000000
Correct? Yes
Problem: The zookeeper needs to add 7.71 kilograms of fruits and vegetables to the elephant's diet after its two meals. How many kilograms of food in total does the elephant eat including the two meals and the added fruits and vegetables?
Qwen2-Math 72B:
Reasoning: The elephant eats 8.72+7.71 = <<8.72+7.71=16.43>>16.43 kilograms of food in total. ### Answer: 16.43
Expected answer: 16.4300000000000
Correct? Yes
Problem: Instead of the 4.36 kilograms of food at each meal, what if the zoo had to feed the elephant 8 kilograms of food at each meal? How many kilograms of food would the elephant eat in total over two meals?
Qwen2-Math 72B:
Reasoning: The elephant eats 8*2 = <<8*2=16>>16 kilograms of food in total. ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: A specific stuffed animal weighs 1.2 pounds. If we multiply that weight by a packaging factor of 2.663, we get a new weight. If the transportation fee for shipping the stuffed animal is $4.67 per pound, what will be the total transportation fee for this stuffed animal?
Qwen2-Math 72B:
Reasoning: The new weight of the stuffed animal is 1.2 * 2.663 = <<1.2*2.663=3.1956>>3.1956 pounds. The total transportation fee for this stuffed animal is 3.1956 * 4.67 = <<3.1956*4.67=14.876652>>14.876652 dollars. ### Answer: 14.876652
Expected answer: 14.9234520000000
Correct? No
Problem: In a cafΓ©, a cup of hot chocolate costs $6.84. After seeing the high demand for this beverage, the cafΓ© owner decides to increase the price by 239%. However, due to feedback from regular customers, the owner decides to decrease the new price by $1.766. What is the new price of a cup of hot chocolate at the cafΓ©?
Qwen2-Math 72B:
Reasoning: The price increase of 239% means the new price is 6.84 * (1 + 239/100) = <<6.84 * (1 + 239/100) = 23.2356>>23.2356. After decreasing the price by $1.766, the new price is 23.2356 - 1.766 = <<23.2356 - 1.766 = 21.4696>>21.4696. ### Answer: 21.4696
Expected answer: 14.5816000000000
Correct? No
Problem: At the campfire, James gathered 12.291 kilograms of firewood while Ruby brought in 6.48 kilograms of firewood. What is the total weight of the firewood?
Qwen2-Math 72B:
Reasoning: The total weight of the firewood is 12.291 + 6.48 = <<12.291+6.48=18.771>>18.771 kilograms. ### Answer: 18.771
Expected answer: 18.7710000000000
Correct? Yes
Problem: At the campfire, suppose James gathered 6 kilograms of firewood instead of 12.291 kilograms, while Ruby still brought in 6.48 kilograms of firewood. Now, what would be the total weight of the firewood?
Qwen2-Math 72B:
Reasoning: The total weight of the firewood is 6 + 6.48 = <<6+6.48=12.48>>12.48 kilograms. ### Answer: 12.48
Expected answer: 12.4800000000000
Correct? Yes
Problem: The compass reads that the initial direction is 4.0 degrees, but there is a shift of 17.56 degrees to the east. How many degrees is the final direction?
Qwen2-Math 72B:
Reasoning: The final direction is 4.0 + 17.56 = <<4.0+17.56=21.56>>21.56 degrees. ### Answer: 21.56
Expected answer: 21.5600000000000
Correct? Yes
Problem: After the initial movement, the compass reads another directional shift this time 18.1 degrees to the west. What would be the final directional reading after this shift?
Qwen2-Math 72B:
Reasoning: The final direction is 21.56 - 18.1 = <<21.56-18.1=3.46>>3.46 degrees. ### Answer: 3.46
Expected answer: 3.46000000000000
Correct? Yes
Problem: The compass originally pointed 10 degrees east, but then it shifted an additional 17.56 degrees further. What will be the compass's new direction in degrees after this additional shift?
Qwen2-Math 72B:
Reasoning: The compass originally pointed 10 degrees east. After shifting an additional 17.56 degrees further, the new direction will be 10 + 17.56 = <<10+17.56=27.56>>27.56 degrees east. ### Answer: 27.56
Expected answer: 27.5600000000000
Correct? Yes
Problem: A large cake costs $17.3. The cake shop is having a special offer where you get a pack of candles for $3.57 along with the cake. How much are you going to pay in total?
Qwen2-Math 72B:
Reasoning: The total cost of the cake and candles is $17.3 + $3.57 = <<17.3+3.57=20.87>>$20.87. ### Answer: $20.87
Expected answer: 20.8700000000000
Correct? Yes
Problem: The cake shop offers a special discount of $3.327 on the total cost. How much do you have to pay after applying the discount?
Qwen2-Math 72B:
Reasoning: The total cost after applying the discount is $20.87 - $3.327 = <<20.87-3.327=17.543>>$17.543. ### Answer: $17.543
Expected answer: 17.5430000000000
Correct? Yes
Problem: Suppose the cake's price was increased to $19 due to additional decorations. How much is the total cost, together with the pack of candles worth $3.57?
Qwen2-Math 72B:
Reasoning: The total cost of the cake and candles is now $19 + $3.57 = <<19+3.57=22.57>>$22.57. ### Answer: $22.57
Expected answer: 22.5700000000000
Correct? Yes
Problem: A sleeping bag has a length of 12.2 feet and a width of 10.95 feet. What's the sum of the sleeping bag's length and width?
Qwen2-Math 72B:
Reasoning: The sum of the sleeping bag's length and width is 12.2+10.95 = <<12.2+10.95=23.15>>23.15 feet. ### Answer: 23.15
Expected answer: 23.1500000000000
Correct? Yes
Problem: After buying the sleeping bag, it shrunk slightly in the wash, reducing both the length and the width by a total of 1.464 feet. What is the new combined length and width of the sleeping bag after washing?
Qwen2-Math 72B:
Reasoning: The total reduction in length and width is 1.464 feet. Let's assume the length and width each reduced by half of this total, which is 1.464/2 = <<1.464/2=0.732>>0.732 feet. The new length is 12.2 - 0.732 = <<12.2-0.732=11.468>>11.468 feet, and the new width is 10.95 - 0.732 = <<10.95-0.732=10.218>>10.218 feet. The new combined length and width is 11.468 + 10.218 = <<11.468+10.218=21.686>>21.686 feet. ### Answer: 21.686
Expected answer: 21.6860000000000
Correct? Yes
Problem: After the wash, you realize the width of the sleeping bag is not 10.95 feet but originally it was 8 feet. Now, what is the new total of the sleeping bag's length and width?
Qwen2-Math 72B:
Reasoning: The new total of the sleeping bag's length and width is 12.2+8 = <<12.2+8=20.2>>20.2 feet. ### Answer: 20.2
Expected answer: 20.2000000000000
Correct? Yes
Problem: A storm is coming in and the wind speed was initially 15.1 km/hr. It then increases by 7.79 km/hr. Simultaneously, another storm was hitting from the opposite direction with wind speed of 18.002 km/hr but it decreases by 11.8 km/hr. What is the total wind speed now?
Qwen2-Math 72B:
Reasoning: The wind speed of the first storm after increasing is 15.1 + 7.79 = <<15.1+7.79=22.89>>22.89 km/hr. The wind speed of the second storm after decreasing is 18.002 - 11.8 = <<18.002-11.8=6.202>>6.202 km/hr. The total wind speed now is 22.89 + 6.202 = <<22.89+6.202=29.092>>29.092 km/hr. ### Answer: 29.092
Expected answer: 29.0920000000000
Correct? Yes
Problem: On Joe's mountain hike, he drinks 11.2 liters of water each day. If Joe hikes for 2 days, how much water is left from a 29.99-liter water jug he carried?
Qwen2-Math 72B:
Reasoning: Joe drinks 11.2*2 = <<11.2*2=22.4>>22.4 liters of water in 2 days. There is 29.99-22.4 = <<29.99-22.4=7.59>>7.59 liters of water left from a 29.99-liter water jug he carried. ### Answer: 7.59
Expected answer: 7.59000000000000
Correct? Yes
Problem: Following his hike, Joe then visits a natural spring where he adds 7.9 liters of fresh water to his water jug. How much water does he have in his jug now?
Qwen2-Math 72B:
Reasoning: Joe has 7.59+7.9 = <<7.59+7.9=15.49>>15.49 liters of water in his jug now. ### Answer: 15.49
Expected answer: 15.4900000000000
Correct? Yes
Problem: What if, instead of drinking 11.2 liters of water each day, Joe only drank 9 liters a day? After hiking for 2 days, how much water would be left from his 29.99-liter water jug?
Qwen2-Math 72B:
Reasoning: Joe drinks 9*2 = <<9*2=18>>18 liters of water in 2 days. There is 29.99-18 = <<29.99-18=11.99>>11.99 liters of water left from a 29.99-liter water jug he carried. ### Answer: 11.99
Expected answer: 11.9900000000000
Correct? Yes
Problem: A pillow costs $25.997. If you have a discount code that takes off $3.685, how much will the pillow cost after the discount?
Qwen2-Math 72B:
Reasoning: The pillow will cost $25.997 - $3.685 = <<25.997-3.685=22.312>>$22.312 after the discount. ### Answer: $22.312
Expected answer: 22.3120000000000
Correct? Yes
Problem: After applying the discount to the pillow, you decide to purchase an additional cushion cover that costs $3.91. How much will the total cost be for both the pillow and the cushion cover?
Qwen2-Math 72B:
Reasoning: The total cost for both the pillow and the cushion cover will be $22.312 + $3.91 = <<22.312+3.91=26.222>>$26.222. ### Answer: $26.222
Expected answer: 26.2220000000000
Correct? Yes
Problem: In the previous problem, we had mentioned how much the pillow cost after a discount. But what if the original price of the pillow had been $27 instead of $25.997 before applying the discount of $3.685? What would be the cost of the pillow then?
Qwen2-Math 72B:
Reasoning: The pillow would cost $27 - $3.685 = <<27-3.685=23.315>>$23.315 after the discount. ### Answer: $23.315
Expected answer: 23.3150000000000
Correct? Yes
Problem: An ice skate weighs 8.38 pounds. If we add changeable blades to the skate, which weighs 1.16 pounds, how much does the ice skate weigh in total?
Qwen2-Math 72B:
Reasoning: The ice skate weighs 8.38+1.16 = <<8.38+1.16=9.54>>9.54 pounds in total. ### Answer: 9.54
Expected answer: 9.54000000000000
Correct? Yes
Problem: A police officer is investigating two crime scenes. The first crime scene is 11.183 kilometers from the police station, and the second crime scene is 4.46 kilometers away from the first crime scene. What is the total distance the officer needs to travel to investigate both crime scenes?
Qwen2-Math 72B:
Reasoning: The total distance the officer needs to travel is the sum of the distance from the police station to the first crime scene and the distance from the first crime scene to the second crime scene. Total distance = 11.183 + 4.46 = <<11.183+4.46=15.643>>15.643 kilometers. ### Answer: 15.643 kilometers
Expected answer: 15.6430000000000
Correct? Yes
Problem: Previously, the police officer's first crime scene was 11.183 kilometers away, and the second was an additional 4.46 kilometers. But what if the first crime scene had instead been 14 kilometers away from the station but still 4.46 kilometers away from the second crime scene? What would then be the total distance the cop needs to travel to investigate both crime scenes?
Qwen2-Math 72B:
Reasoning: The total distance the officer needs to travel is the sum of the distance from the police station to the first crime scene and the distance from the first crime scene to the second crime scene. Total distance = 14 + 4.46 = <<14+4.46=18.46>>18.46 kilometers. ### Answer: 18.46 kilometers
Expected answer: 18.4600000000000
Correct? Yes
Problem: An alien named Zyko has 24.06 kryptonite units. However, a space villain has stolen 8.49 units from him. Zyko then discovers another hero alien has a total of 27.7 units. After Zyko's loss, how much more kryptonite does this hero have in comparison to Zyko?
Qwen2-Math 72B:
Reasoning: Zyko has 24.06-8.49 = <<24.06-8.49=15.57>>15.57 kryptonite units left. The hero alien has 27.7-15.57 = <<27.7-15.57=12.13>>12.13 more kryptonite units than Zyko. ### Answer: 12.13
Expected answer: 12.1300000000000
Correct? Yes
Problem: Following his first discovery, Zyko learns that another friendly alien has 3.87 units more kryptonite than the hero alien. After he takes into account the kryptonite stolen from him, how much kryptonite does this second friendly alien have compared to Zyko?
Qwen2-Math 72B:
Reasoning: The second friendly alien has 27.7+3.87 = <<27.7+3.87=31.57>>31.57 kryptonite units. The second friendly alien has 31.57-15.57 = <<31.57-15.57=16>>16 more kryptonite units than Zyko. ### Answer: 16
Expected answer: 16.0000000000000
Correct? Yes
Problem: In a new development, it turns out the space villain only managed to steal 1 unit of kryptonite from Zyko, not 8.49 units as initially believed. With this new revelation, how much more kryptonite does the hero alien have in comparison to Zyko?
Qwen2-Math 72B:
Reasoning: Zyko has 24.06-1 = <<24.06-1=23.06>>23.06 kryptonite units left. The hero alien has 27.7-23.06 = <<27.7-23.06=4.64>>4.64 more kryptonite units than Zyko. ### Answer: 4.64
Expected answer: 4.64000000000000
Correct? Yes
Problem: A cloud is at 27.53 kilometers above the surface of the Earth. If it drops 2.411 kilometers lower, how high is the cloud from the surface of the Earth now?
Qwen2-Math 72B:
Reasoning: The cloud is now at 27.53-2.411 = <<27.53-2.411=25.119>>25.119 kilometers above the surface of the Earth. ### Answer: 25.119
Expected answer: 25.1190000000000
Correct? Yes
Problem: Following the previous questions, now consider if the cloud was originally at 19 kilometers above the surface of the Earth instead of 27.53 and it drops 2.411 kilometers lower as before. How high is the cloud from the surface of the Earth now?
Qwen2-Math 72B:
Reasoning: The cloud is now at 19-2.411 = <<19-2.411=16.589>>16.589 kilometers above the surface of the Earth. ### Answer: 16.589
Expected answer: 16.5890000000000
Correct? Yes
Problem: A piano tuning session costs normally $25.3. Today, there is a special offer and you can get it done for $5.433 less than the normal price! How much will the piano tuning session cost after the discount?
Qwen2-Math 72B:
Reasoning: The discount is $5.433, so the price after the discount is $25.3 - $5.433 = <<25.3-5.433=19.867>>$19.867. ### Answer: $19.867
Expected answer: 19.8670000000000
Correct? Yes
Problem: Suppose the normal cost of the piano tuning was actually $13 instead of $25.3. With the same special offer of $5.433 off, how much will the piano tuning session cost after the discount?
Qwen2-Math 72B:
Reasoning: The discount is $5.433, so the price after the discount is $13 - $5.433 = <<13-5.433=7.567>>$7.567. ### Answer: $7.567
Expected answer: 7.56700000000000
Correct? Yes
Problem: A swing moves forward 17.6 meters. If it swings back 8.325 meters, what is the total distance travel by the swing?
Qwen2-Math 72B:
Reasoning: The total distance traveled by the swing is the sum of the distance it moved forward and the distance it moved back. Total distance = 17.6 + 8.325 = <<17.6+8.325=25.925>>25.925 meters. ### Answer: 25.925
Expected answer: 25.9250000000000
Correct? Yes
Problem: Revisiting the previous scenario, what if the swing initially moved only 5 meters forward but still swung back 8.325 meters? What would be the total distance travelled by the swing?
Qwen2-Math 72B:
Reasoning: The total distance traveled by the swing is the sum of the distance it moved forward and the distance it moved back. Total distance = 5 + 8.325 = <<5+8.325=13.325>>13.325 meters. ### Answer: 13.325
Expected answer: 13.3250000000000
Correct? Yes
Problem: A candle maker uses 8.0 ounces of wax for one candle and tops it with 1.3 ounces of decorative wax. What is the total weight of the completed candle?
Qwen2-Math 72B:
Reasoning: The total weight of the completed candle is 8.0 + 1.3 = <<8.0+1.3=9.3>>9.3 ounces. ### Answer: 9.3
Expected answer: 9.30000000000000
Correct? Yes
Problem: The candle maker decides to make another candle of the same size. What is the total weight of both candles?
Qwen2-Math 72B:
Reasoning: The total weight of both candles is 9.3 * 2 = <<9.3*2=18.6>>18.6 ounces. ### Answer: 18.6
Expected answer: 18.6000000000000
Correct? Yes
Problem: If the candle maker decides to use 21 ounces of wax for a candle instead of 8 ounces, but keeps the weight of decorative wax the same, what would be the total weight of the new candle?
Qwen2-Math 72B:
Reasoning: The total weight of the new candle is 21 + 1.3 = <<21+1.3=22.3>>22.3 ounces. ### Answer: 22.3
Expected answer: 22.3000000000000
Correct? Yes
Problem: The length of a jumbo eraser is 29.0 cm. However, it is then cut down to 19.078 cm. Another piece measuring 8.197 cm is also cut off from it. If you then add a piece measuring 14.4 cm to it, what is the new length of the eraser?
Qwen2-Math 72B:
Reasoning: The length of the eraser after the first cut is 29.0-19.078 = <<29.0-19.078=9.922>>9.922 cm. The length of the eraser after the second cut is 9.922-8.197 = <<9.922-8.197=1.725>>1.725 cm. The new length of the eraser is 1.725+14.4 = <<1.725+14.4=16.125>>16.125 cm. ### Answer: 16.125
Expected answer: 16.1250000000000
Correct? Yes
Problem: A snowman was made on a snowy day. At first, it was 12.903 feet high. But, after a couple of hours, due to the heat from the sun, it had melted down to 2.624 feet. How much height did the snowman lose?
Qwen2-Math 72B:
Reasoning: The height lost by the snowman is 12.903-2.624 = <<12.903-2.624=10.279>>10.279 feet. ### Answer: 10.279
Expected answer: 10.2790000000000
Correct? Yes
Problem: After the snowman melted to 2.624 feet, a fresh layer of snow fell overnight and added the exact amount of height that the snowman lost back onto it. What is the height of the snowman the next morning?
Qwen2-Math 72B:
Reasoning: The height of the snowman the next morning is 2.624+10.279 = <<2.624+10.279=12.903>>12.903 feet. ### Answer: 12.903
Expected answer: 12.9030000000000
Correct? Yes
Problem: In a sandbox, children have poured 17.985 kilograms of sand into different playing areas. If they want to divide the sand equally into 5.45 areas, how much sand will each area get?
Qwen2-Math 72B:
Reasoning: To find out how much sand each area will get, we need to divide the total amount of sand by the number of areas. Total amount of sand = 17.985 kilograms Number of areas = 5.45 Amount of sand per area = Total amount of sand / Number of areas Amount of sand per area = 17.985 / 5.45 Amount of sand per area = <<17.985/5.45=3.3>>3.3 kilograms ### Answer: 3.3 kilograms
Expected answer: 3.30000000000000
Correct? Yes
Problem: In the same sandbox, the children have decided instead to divide the original 17.985 kilograms of sand equally into 11 different play areas. How much sand would each area get now?
Qwen2-Math 72B:
Reasoning: To find out how much sand each area will get, we need to divide the total amount of sand by the number of areas. Total amount of sand = 17.985 kilograms Number of areas = 11 Amount of sand per area = Total amount of sand / Number of areas Amount of sand per area = 17.985 / 11 Amount of sand per area = <<17.985/11=1.635>>1.635 kilograms ### Answer: 1.635 kilograms
Expected answer: 1.63500000000000
Correct? Yes
Problem: If a gift's initial price was $24.17, and they added $3.802 for gift wrapping, how much would the final cost of the gift be?
Qwen2-Math 72B:
Reasoning: The final cost of the gift is $24.17 + $3.802 = <<24.17+3.802=27.972>>$27.972. ### Answer: $27.972
Expected answer: 27.9720000000000
Correct? Yes
Problem: If a gift's initial price was $24.17, and they added $3.802 for gift wrapping, how much would the final cost of the gift be? Additionally, if the customer used a discount coupon worth $10.7, what would be the total cost of the gift after applying the discount?
Qwen2-Math 72B:
Reasoning: The final cost of the gift is $24.17 + $3.802 = <<24.17+3.802=27.972>>$27.972. After applying the discount coupon worth $10.7, the total cost of the gift would be $27.972 - $10.7 = <<27.972-10.7=17.272>>$17.272. ### Answer: $17.272
Expected answer: 17.2720000000000
Correct? Yes
Problem: If instead of the original price being $24.17, the gift only cost $4, and they still added $3.802 for gift wrapping, what would the final cost of the gift then be?
Qwen2-Math 72B:
Reasoning: The final cost of the gift is $4 + $3.802 = <<4+3.802=7.802>>$7.802. ### Answer: $7.802
Expected answer: 7.80200000000000
Correct? Yes
Problem: A baker has 15.643 kilograms of sugar and 10.24 kilograms of flour. If they use 8.8 kilograms of the total ingredients for baking a cake, how many kilograms of ingredients are left?
Qwen2-Math 72B:
Reasoning: The total amount of ingredients is 15.643 + 10.24 = <<15.643+10.24=25.883>>25.883 kilograms. After baking the cake, the amount of ingredients left is 25.883 - 8.8 = <<25.883-8.8=17.083>>17.083 kilograms. ### Answer: 17.083
Expected answer: 17.0830000000000
Correct? Yes
Problem: Now, consider if the baker has a smaller amount of sugar, 7 kilograms instead of 15.643 kilograms. Given the same amount of flour (10.24 kilograms) and the same amount of total ingredients used for the cake (8.8 kilograms), how many kilograms of ingredients are left now?
Qwen2-Math 72B:
Reasoning: The total amount of ingredients is 7 + 10.24 = <<7+10.24=17.24>>17.24 kilograms. After baking the cake, the amount of ingredients left is 17.24 - 8.8 = <<17.24-8.8=8.44>>8.44 kilograms. ### Answer: 8.44
Expected answer: 8.44000000000000
Correct? Yes
Problem: Inside your wallet, you have $13.32. But you decided to buy a wallet organizer that costs $7.612. After purchasing, you find $22.013 inside the pocket of the organizer. How much money do you have in total now?
Qwen2-Math 72B:
Reasoning: You have $13.32 - $7.612 = <<13.32-7.612=5.708>>$5.708 left in your wallet after buying the organizer. You have $5.708 + $22.013 = <<5.708+22.013=27.721>>$27.721 in total now. ### Answer: $27.721
Expected answer: 27.7210000000000
Correct? Yes
Problem: Now suppose you initially started with $13.32 in your wallet, but this time you bought a different wallet organizer that costs $10. After your purchase, you find the same $22.013 inside the pocket of this different organizer. How much money do you have in total now?
Qwen2-Math 72B:
Reasoning: You have $13.32 - $10 = <<13.32-10=3.32>>$3.32 left in your wallet after buying the organizer. You have $3.32 + $22.013 = <<3.32+22.013=25.333>>$25.333 in total now. ### Answer: $25.333
Expected answer: 25.3330000000000
Correct? Yes
Problem: A luxury pillow costs $25.15. However, there's a sale that reduces the price by $5.1. What is the price of the pillow after the discount?
Qwen2-Math 72B:
Reasoning: The price of the pillow after the discount is $25.15 - $5.1 = <<25.15-5.1=20.05>>$20.05. ### Answer: $20.05
Expected answer: 20.0500000000000
Correct? Yes
Problem: After purchasing the discounted pillow, Carl decided to buy an additional decorative pillow cover that cost $7. If the original discounted price of the pillow was $25.15 - $5.10, how much did Carl pay in total for the pillow and the cover?
Qwen2-Math 72B:
Reasoning: The original discounted price of the pillow was $25.15 - $5.10 = <<25.15-5.10=20.05>>$20.05. The total cost for the pillow and the cover is $20.05 + $7 = <<20.05+7=27.05>>$27.05. ### Answer: $27.05
Expected answer: 27.0500000000000
Correct? Yes
Problem: If the original price of the pillow before the sale was instead $8.00 but the discount was still $5.10, what would be the new price of the discounted pillow?
Qwen2-Math 72B:
Reasoning: The new price of the discounted pillow would be $8.00 - $5.10 = <<8.00-5.10=2.90>>$2.90. ### Answer: $2.90
Expected answer: 2.90000000000000
Correct? Yes
Problem: A pirate has found a treasure chest weighing 15.5 kg! But the chest's lock weights 3.8 kg. How much does the actual treasure inside the chest weigh?
Qwen2-Math 72B:
Reasoning: The actual treasure inside the chest weighs 15.5-3.8 = <<15.5-3.8=11.7>>11.7 kg. ### Answer: 11.7
Expected answer: 11.7000000000000
Correct? Yes
Problem: The pirate actually counted his treasure wrong and there were 29 kg of treasure instead of 15.5 kg initially. After subtracting the 3.8 kg the lock on the chest weighs, how much does the corrected weight of the treasure inside the chest come to?
Qwen2-Math 72B:
Reasoning: The corrected weight of the treasure inside the chest comes to 29-3.8 = <<29-3.8=25.2>>25.2 kg. ### Answer: 25.2
Expected answer: 25.2000000000000
Correct? Yes
Problem: The length of Slide A in the park is 16.638 meters while Slide B is shorter measuring 6.45 meters. What is the total length of both slides?
Qwen2-Math 72B:
Reasoning: The total length of both slides is 16.638+6.45 = <<16.638+6.45=23.088>>23.088 meters. ### Answer: 23.088
Expected answer: 23.0880000000000
Correct? Yes
Problem: Suppose they now added another Slide C in the park with a length of 21 meters while the length of Slide B remains at 6.45 meters. What would be the total length of both slides now?
Qwen2-Math 72B:
Reasoning: The total length of both slides now is 21+6.45 = <<21+6.45=27.45>>27.45 meters. ### Answer: 27.45
Expected answer: 27.4500000000000
Correct? Yes
Problem: The train ticket for a one-way trip from City A to City B costs $13.868. If a passenger wants to buy a round-trip ticket from City A to City B and back to City A, how much does it cost?
Qwen2-Math 72B:
Reasoning: The round-trip ticket costs 13.868*2 = <<13.868*2=27.736>>27.736 dollars. ### Answer: 27.736
Expected answer: 27.7360000000000
Correct? Yes
Problem: Now consider that train tickets for a one-way trip from City A to City B are revised and cost $2 instead of $13.868. If a passenger wants to buy a round-trip ticket from City A to City B and back to City A, what is the new cost?
Qwen2-Math 72B:
Reasoning: The round-trip ticket now costs 2*2 = <<2*2=4>>4 dollars. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: A box of colored pencils costs $14.93. If Kai buys 2 boxes of colored pencils, how much does he spend?
Qwen2-Math 72B:
Reasoning: Kai spends 14.93*2 = <<14.93*2=29.86>>29.86 dollars. ### Answer: 29.86
Expected answer: 29.8600000000000
Correct? Yes
Problem: If a box of colored pencils actually costs $6 instead of $14.93, how much would Kai spend to buy 2 boxes?
Qwen2-Math 72B:
Reasoning: Kai spends 6*2 = <<6*2=12>>12 dollars. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: A robot needs precisely 21.3 volts to work perfectly. If there is only 15.433 volts left in the battery, how many more volts are required to make the robot function ideally?
Qwen2-Math 72B:
Reasoning: The robot needs 21.3-15.433 = <<21.3-15.433=5.867>>5.867 more volts to function ideally. ### Answer: 5.867
Expected answer: 5.86700000000000
Correct? Yes
Problem: In the previous scenario, the robot needed 21.3 volts to operate perfectly. Suppose now the battery already has 13 volts. How many more volts are required now to make the robot function ideally?
Qwen2-Math 72B:
Reasoning: The robot needs 21.3-13 = <<21.3-13=8.3>>8.3 more volts to function ideally. ### Answer: 8.3
Expected answer: 8.30000000000000
Correct? Yes
Problem: A jar of turquoise paint costs $7.949, while a jar of navy blue paint costs $20.16. If you have a discount coupon that subtracts $8.405 from your total cost, what is the final price for purchasing both jars of paint?
Qwen2-Math 72B:
Reasoning: The total cost of the two jars of paint is $7.949 + $20.16 = <<7.949+20.16=28.109>>$28.109. After applying the discount coupon, the final price is $28.109 - $8.405 = <<28.109-8.405=19.704>>$19.704. ### Answer: $19.704
Expected answer: 19.7040000000000
Correct? Yes
Problem: Assuming that the price of the jar of turquoise paint was actually $4 instead of $7.949, the cost of the two jars of paint would be different. If you still apply the discount coupon that subtracts $8.405 from your total cost, what is the final price now for purchasing both the jar of turquoise paint and the jar of navy blue paint?
Qwen2-Math 72B:
Reasoning: The total cost of the two jars of paint is now $4 + $20.16 = <<4+20.16=24.16>>$24.16. After applying the discount coupon, the final price is $24.16 - $8.405 = <<24.16-8.405=15.755>>$15.755. ### Answer: $15.755
Expected answer: 15.7550000000000
Correct? Yes
Problem: A scooter initially travels 3.566 km before making a stop. After the brief stop, it goes on for another 19.63 km. How many kilometers did the scooter travel in total?
Qwen2-Math 72B:
Reasoning: The scooter traveled 3.566+19.63 = <<3.566+19.63=23.196>>23.196 kilometers in total. ### Answer: 23.196
Expected answer: 23.1960000000000
Correct? Yes
Problem: After travelling a combined total of 3.566 km and 19.63 km, the scooter then reverses its direction and goes back 5.364 km. How many kilometers is the scooter now from its original starting position?
Qwen2-Math 72B:
Reasoning: The scooter is now 23.196-5.364 = <<23.196-5.364=17.832>>17.832 kilometers from its original starting position. ### Answer: 17.832
Expected answer: 17.8320000000000
Correct? Yes
Problem: After considering the initial 3.566 km the scooter had travelled, suppose it only travelled an additional 5 km instead of 19.63 km before making the stop. What is the new total distance the scooter travelled?
Qwen2-Math 72B:
Reasoning: The scooter traveled 3.566+5 = <<3.566+5=8.566>>8.566 kilometers in total. ### Answer: 8.566
Expected answer: 8.56600000000000
Correct? Yes
Problem: In a party, John noticed that he has 24.644 ounces of juice left. If he remembers that he started with 19.226 ounces, how many ounces of juice did he have to add?
Qwen2-Math 72B:
Reasoning: John had to add 24.644-19.226 = <<24.644-19.226=5.418>>5.418 ounces of juice. ### Answer: 5.418
Expected answer: 5.41800000000000
Correct? Yes
Problem: In the same party, after John found out how much juice he added, he decided to add an additional 13.9 ounces of juice. How much juice does he currently have now?
Qwen2-Math 72B:
Reasoning: John currently has 24.644+13.9 = <<24.644+13.9=38.544>>38.544 ounces of juice. ### Answer: 38.544
Expected answer: 19.3180000000000
Correct? No
Problem: In the same party, what if John initially had 20 ounces of juice instead of 24.644 ounces before he added more? How much juice would he have added to reach 24.644 ounces?
Qwen2-Math 72B:
Reasoning: John would have added 24.644-20 = <<24.644-20=4.644>>4.644 ounces of juice. ### Answer: 4.644
Expected answer: 4.64400000000000
Correct? Yes
Problem: The intensity of the sun's radiation outside of Earth's atmosphere is approximately 19.4 kilowatts per square meter. If you further absorb an additional 2.38 kilowatts per square meter due to a scientific experiment, what is the total intensity of the absorbed solar radiation in kilowatts per square meter?
Qwen2-Math 72B:
Reasoning: The total intensity of the absorbed solar radiation is the sum of the initial intensity and the additional intensity absorbed. Total intensity = Initial intensity + Additional intensity Total intensity = 19.4 kW/mΒ² + 2.38 kW/mΒ² Total intensity = <<19.4+2.38=21.78>>21.78 kW/mΒ² ### Answer: 21.78
Expected answer: 21.7800000000000
Correct? Yes
Problem: Suppose in a new experiment, the intensity of the sun's radiation outside of Earth's atmosphere is slightly stronger, and is now 21 kilowatts per square meter. If you further absorb an additional 2.38 kilowatts per square meter due to this experiment, what is the total intensity of the absorbed solar radiation now in kilowatts per square meter?
Qwen2-Math 72B:
Reasoning: The total intensity of the absorbed solar radiation is the sum of the initial intensity and the additional intensity absorbed. Total intensity = Initial intensity + Additional intensity Total intensity = 21 kW/mΒ² + 2.38 kW/mΒ² Total intensity = <<21+2.38=23.38>>23.38 kW/mΒ² ### Answer: 23.38
Expected answer: 23.3800000000000
Correct? Yes
Problem: At noon, the sun's temperature is 18.22 million degrees Fahrenheit. But as the afternoon progresses, the temperature drops to 14.558 million degrees Fahrenheit. What is the decrease in the sun's temperature?
Qwen2-Math 72B:
Reasoning: The decrease in the sun's temperature is 18.22-14.558 = <<18.22-14.558=3.662>>3.662 million degrees Fahrenheit. ### Answer: 3.662
Expected answer: 3.66200000000000
Correct? Yes
Problem: Following the decrease in the sun's temperature, scientists observe that for every degree decrease, solar energy reaching Earth reduces by 7.6%. How much has the solar energy reduced by, when the sun's temperature dropped from 18.22 million degrees Fahrenheit to 14.558 million degrees Fahrenheit?
Qwen2-Math 72B:
Reasoning: The decrease in the sun's temperature is 3.662 million degrees Fahrenheit. The reduction in solar energy for every degree decrease is 7.6%. The total reduction in solar energy is 3.662 * 7.6 = <<3.662*7.6=27.8312>>27.8312%. ### Answer: 27.8312
Expected answer: 27.8312000000000
Correct? Yes
Problem: Given the previous scenario about the sun's temperature decreasing from 18.22 million degrees Fahrenheit in the afternoon, imagine instead that the temperature reduced more drastically to 6 million degrees. What would then be the decrease in the sun's temperature?
Qwen2-Math 72B:
Reasoning: The decrease in the sun's temperature is 18.22-6 = <<18.22-6=12.22>>12.22 million degrees Fahrenheit. ### Answer: 12.22
Expected answer: 12.2200000000000
Correct? Yes
Problem: A farmer has a banana tree that typically yields 1.6 kg of bananas. One day, there is an additional 3.443 kg increase in the weight of bananas. How much does the banana tree yield now?
Qwen2-Math 72B:
Reasoning: The banana tree yields 1.6 + 3.443 = <<1.6+3.443=5.043>>5.043 kg of bananas now. ### Answer: 5.043
Expected answer: 5.04300000000000
Correct? Yes
Problem: If instead of the initial yield being 1.6 kg, it was 6 kg and the same 3.443 kg increase occurs, how much would the banana tree yield then?
Qwen2-Math 72B:
Reasoning: The banana tree yields 6 + 3.443 = <<6+3.443=9.443>>9.443 kg of bananas now. ### Answer: 9.443
Expected answer: 9.44300000000000
Correct? Yes
Problem: A giraffe eats 22.3 pounds of leaves in the morning and 6.1 pounds later in the afternoon. If 7.58 pounds of the eaten leaves were not digested, how many pounds were digested?
Qwen2-Math 72B:
Reasoning: The giraffe ate 22.3+6.1 = <<22.3+6.1=28.4>>28.4 pounds of leaves. The giraffe digested 28.4-7.58 = <<28.4-7.58=20.82>>20.82 pounds of leaves. ### Answer: 20.82
Expected answer: 20.8200000000000
Correct? Yes
Problem: If instead of 6.1 pounds, the giraffe only ate 4 pounds of leaves in the afternoon, and still, 7.58 pounds were not digested, how many pounds were now digested?
Qwen2-Math 72B:
Reasoning: The giraffe ate 22.3+4 = <<22.3+4=26.3>>26.3 pounds of leaves. The giraffe digested 26.3-7.58 = <<26.3-7.58=18.72>>18.72 pounds of leaves. ### Answer: 18.72
Expected answer: 18.7200000000000
Correct? Yes