🔗 Problem

Problem: A full-grown giraffe has an average height of 40.4 feet. If a baby giraffe is 7.34 feet shorter than the full-grown giraffe, then how tall is the baby giraffe?

Gemma 2B:

    Reasoning: The baby giraffe is 40.4-7.34 = <<40.4-7.34=33.06>>33.06 feet tall.
    ### Answer: 33.06 feet

Expected answer: 33.0600000000000

Correct? Yes

🔗 Follow-up

Problem: Given the previous scenario but this time, let's say that the full-grown giraffe has a different height of 78 feet. If a baby giraffe is still 7.34 feet shorter than this full-grown giraffe, then how tall is the baby giraffe now?

Gemma 2B:

    Reasoning: The baby giraffe is 78 - 7.34 = <<78-7.34=70.66>>70.66 feet tall.
    ### Answer: 70.66 feet

Expected answer: 70.6600000000000

Correct? Yes

🔗 Problem

Problem: A scooter was initially priced at $59.9 but is now on sale for $39.3. How much is the discount on the scooter?

Gemma 2B:

    Reasoning: The discount on the scooter is $59.9 - $39.3 = $<<59.9-39.3=20.6>>20.6.
    ### Answer: $20.6

Expected answer: 20.6000000000000

Correct? Yes

🔗 Follow-up

Problem: The scooter store decided to multiply the discount you received, $j, by 15.1 to determine how much they'd donate to a local charity based on your purchase. How much money would be donated to the charity as a result of your scooter purchase?

Gemma 2B:

    Reasoning:  The scooter store would donate $20.6 * 15.1 = $<<20.6*15.1=311.06>>311.06 to charity from your purchase.
    ### Answer: $311.06

Expected answer: 311.060000000000

Correct? Yes

🔗 Follow-up

Problem: If instead the scooter was initially priced at $66 before being discounted to $39.3, how much would be the discount on the scooter?

Gemma 2B:

    Reasoning: The discount on the scooter is $66 - $39.3 = $<<66-39.3=26.7>>26.7
    ### Answer: $26.7

Expected answer: 26.7000000000000

Correct? Yes

🔗 Problem

Problem: The length of a slide was initially 71.36 meters. However, due to safety concerns, officials reduced the length by 50.0 meters. What's the new length of the slide?

Gemma 2B:

    Reasoning: To find the new length, we subtract the reduction from the initial length: 71.36 meters - 50.0 meters = 21.36 meters
    ### Answer: 21.36 meters

Expected answer: 21.3600000000000

Correct? Yes

🔗 Follow-up

Problem: In a different playground, there was also a slide that was initially 71.36 meters long. However, safety concerns caused the officials to reduce the length by 24 meters instead of the original 50.0 meters. What is the new length of this slide?

Gemma 2B:

    Reasoning: To find the new length, we subtract the reduction from the initial length: 71.36 meters - 24 meters = 47.36 meters.
    ### Answer: 47.36 meters

Expected answer: 47.3600000000000

Correct? Yes

🔗 Problem

Problem: A farmer collects a certain weight of tomatoes from his farm. The first day he collects 86.7 kg and the second day he collects 57.19 kg. What is the total weight of the tomatoes he collected over the two days?

Gemma 2B:

    Reasoning: To find the total weight, we need to add the weight of tomatoes collected on the first and second day, 86.7 kg + 57.19 kg = 143.89 kg
    ### Answer: 143.89 kg

Expected answer: 143.890000000000

Correct? Yes

🔗 Follow-up

Problem: The farmer decides to make tomato sauce and uses up 81.0 kg of the tomatoes he collected. After processing those tomatoes into sauce, how much weight in tomatoes does he have left?

Gemma 2B:

    Reasoning: To find the remaining weight, we subtract the weight of tomatoes used for sauce from the total weight: 143.89 kg - 81.0 kg = 62.89 kg
    ### Answer: 62.89 kg

Expected answer: 62.8900000000000

Correct? Yes

🔗 Follow-up

Problem: If instead of 57.19 kg, the farmer actually collected 84 kg of tomatoes on the second day, what would be the new total weight of tomatoes he collected over the two days?

Gemma 2B:

    Reasoning: The new total weight is the sum of the weight collected on the first day (86.7 kg) and the updated weight collected on the second day (84 kg), which is 86.7 kg + 84 kg = 170.7 kg
    ### Answer: 170.7 kg

Expected answer: 170.700000000000

Correct? Yes

🔗 Problem

Problem: A farmer sold a total of 111.94 kilograms of tomatoes. If each batch he sold weighs roughly 2.9 kilograms, how many batches of tomatoes did he sell?

Gemma 2B:

    Reasoning: To find the number of batches, we divide the total weight of tomatoes by the weight of each batch: 111.94 kilograms / 2.9 kilograms/batch = <<111.94/2.9=38.6>>38.6 batches.
    Since we can't have a fraction of a batch, we round to the nearest whole number.
    ### Answer: 39 batches.

Expected answer: 38.6000000000000

Correct? No

🔗 Problem

Problem: A skirt was originally priced at $75.0 but it is now on sale and its new price is $37.5 less than the original price. What is the sale price of the skirt?

Gemma 2B:

    Reasoning: The sale price of the skirt is $75.0 - $37.5 = $<<75-37.5=37.5>>37.5.
    ### Answer: $37.5

Expected answer: 37.5000000000000

Correct? Yes

🔗 Follow-up

Problem: Instead of the original price being $75.0, assume that the original price of the skirt was $49. How much would the skirt cost after the first discount of $37.5?

Gemma 2B:

    Reasoning: The skirt would cost $49 - $37.5 = $<<49-37.5=11.5>>11.5 after the first discount.
    ### Answer: $11.5

Expected answer: 11.5000000000000

Correct? Yes

🔗 Problem

Problem: On a farm, there are 35.9 acres of wheat fields and 11.5 acres of corn fields. What is the total acreage of wheat and corn fields on the farm?

Gemma 2B:

    Reasoning: To find the total acreage, we need to add the acreage of wheat fields and cornfields. This means we need to calculate 35.9 + 11.5.
    35.9 + 11.5 = 47.4
    ### Answer: 47.4 acres

Expected answer: 47.4000000000000

Correct? Yes

🔗 Follow-up

Problem: In addition to the existing wheat and corn fields, the farm has a newly acquired barley field that spans 7.16 acres. What is the total acreage of wheat, corn, and barley fields altogether on the farm now?

Gemma 2B:

    Reasoning: We know from the previous problem that the wheat and corn fields cover 47.4 acres. To find the total acreage including the new barley field, we need to add the size of the barley field to the combined acreage of the wheat and corn fields: 47.4 + 7.16
    47.4 + 7.16 = 54.56
    ### Answer: 54.56 acres

Expected answer: 54.5600000000000

Correct? Yes

🔗 Follow-up

Problem: Suppose instead of the 35.9 acres of wheat in the original calculation, the farm actually has 93 acres of wheat fields. Taking the updated acreage of wheat fields into account and keeping the 11.5 acres of corn fields the same, what would then be the total acreage of wheat and corn fields on the farm?

Gemma 2B:

    Reasoning: To find the total acreage with the updated information, we need to add the new acreage of wheat fields (93 acres) to the existing acreage of cornfields (11.5 acres).
    This means we need to calculate 93 + 11.5.
    93 + 11.5 = 104.5
    ### Answer: 104.5 acres

Expected answer: 104.500000000000

Correct? Yes

🔗 Problem

Problem: A tank contains 540.38 liters of water, which is divided between 65.9 buckets. Find out how many liters of water is in each bucket?

Gemma 2B:

    Reasoning: To find the amount of water in each bucket, we need to divide the total liters of water by the number of buckets: 540.38 liters / 65.9 buckets = <<540.38/65.9=8.2>>8.2 liters/bucket.
    ### Answer: 8.2 liters/bucket

Expected answer: 8.20000000000000

Correct? Yes

🔗 Follow-up

Problem: Following the previous problem, after filling each bucket, 2.4 liters of water is lost due to leakage. What would be the revised amount of water in each bucket?

Gemma 2B:

    Reasoning: Since 2.4 liters are lost due to leakage, the amount of water remaining in each bucket would be 8.2 liters - 2.4 liters = <<8.2-2.4=5.8>>5.8 liters.
    ### Answer: 5.8 liters

Expected answer: 5.80000000000000

Correct? Yes

🔗 Follow-up

Problem: Following the previous problem, suppose that instead of 65.9 buckets the water was divided into 33 buckets. How many liters of water would have been in each bucket under this new arrangement?

Gemma 2B:

    Reasoning: With 33 buckets, we divide the total water (still 540.38 liters) by the new number of buckets: 540.38 liters / 33 buckets = <<540.38/33=16.3751515152>>16.38 liters/bucket (rounded to two decimal places).
    ### Answer: 16.38 liters/bucket

Expected answer: 16.3751515151515

Correct? Yes

🔗 Problem

Problem: A TV is sold for $48.21 per month for 35.5 months. What is the total cost of the TV?

Gemma 2B:

    Reasoning: The total cost of the TV is $48.21 x 35.5 = $<<48.21*35.5=1712.855>>1712.86
    ### Answer: $1712.86

Expected answer: 1711.45500000000

Correct? No

🔗 Problem

Problem: A UFO was spotted moving at a speed of 94.83 miles per hour, and then it increased its speed by an additional 2.63 miles per hour. What was the new speed of the UFO?

Gemma 2B:

    Reasoning: We need to add the increase in speed to the original speed to find the new speed: 94.83 + 2.63 = <<94.83+2.63=97.46>>97.46 miles per hour.
    ### Answer: 97.46 miles per hour

Expected answer: 97.4600000000000

Correct? Yes

🔗 Follow-up

Problem: After increasing its speed, the UFO maintained its new speed for 52.9 hours. How many miles did the UFO travel at its new speed?

Gemma 2B:

    Reasoning: To find the distance, we multiply the speed by the time: 97.46 miles per hour * 52.9 hours = <<97.46*52.9=5154.534>>5154.534 miles.
    ### Answer: 5154.534 miles

Expected answer: 5155.63400000000

Correct? No

🔗 Follow-up

Problem: Suppose that the UFO was originally moving at a speed of 94.83 mph, but then it increased its speed by 72 mph instead of 2.63 mph. What would its new speed be now?

Gemma 2B:

    Reasoning:  We need to add the increase in speed to the original speed: 94.83 mph + 72 mph = 166.83 mph.
    ### Answer: 166.83 mph

Expected answer: 166.830000000000

Correct? Yes

🔗 Problem

Problem: If a monkey can swing 80.48 meters in one second and it continues to swing at this speed for 73.9 seconds, how far will the monkey have swung in total?

Gemma 2B:

    Reasoning: We need to multiply the monkey's speed by the total time it swings to find the total distance. That means the monkey swings 80.48 x 73.9 = <<80.48*73.9=5948.272>>5948.272 meters in 73.9 seconds.
    ### Answer: 5948.272 meters

Expected answer: 5947.47200000000

Correct? No

🔗 Problem

Problem: A strong wind travels a total of 2250.3 km over a period of 57.7 hours. How many kilometers does the wind cover in each hour?

Gemma 2B:

    Reasoning: We can find the number of kilometers the wind covers each hour by dividing the total kilometers traveled by the total time: 2250.3 km / 57.7 hours = 39 km/hour (rounded to the nearest tenth).
    ### Answer: 39 km

Expected answer: 39.0000000000000

Correct? Yes

🔗 Follow-up

Problem: After calculating the speed of the wind, notice that there is a separate current of air pushing in the same direction with a speed of 64.91 km/h. If we add the speed of this current to the speed of the wind calculated earlier, what would be the total speed of the wind now?

Gemma 2B:

    Reasoning: To find the total speed, we need to add the wind's original speed and the speed of the air current: 39 km/h + 64.91 km/h = 103.91 km/h.
    ### Answer: 103.91 km/h

Expected answer: 103.910000000000

Correct? Yes

🔗 Follow-up

Problem: After re-calculating the data, it turns out the strong wind actually traveled 2250.3 km, but over a period of 96 hours instead of 57.7 hours. How would this change affect the speed of the wind per hour?

Gemma 2B:

    Reasoning: Let's calculate the new speed with the corrected time. Speed is calculated by dividing the total distance by the total time: 2250.3 km / 96 hours = 23.44 km/hour (rounded to the nearest hundredth).

    The initial calculated speed was 39 km/hour, and the revised speed is 23.44 km/hour.

    ### Answer: The wind speed is actually slower, at 23.44 km/hour.

Expected answer: 23.4406250000000

Correct? Yes

🔗 Problem

Problem: A Penguin swam 95.34 kilometers to the east and then swam another 41.6 kilometers in the same direction. What is the total distance that the Penguin swam?

Gemma 2B:

    Reasoning: To find the total distance, we need to add the distance swum each time. So, the penguin swam a total of 95.34 + 41.6 = <<95.34+41.6=136.94>>136.94 kilometers.
    ### Answer: 136.94 kilometers.

Expected answer: 136.940000000000

Correct? Yes

🔗 Follow-up

Problem: After swimming 95.34 kilometers to the east and another 41.6 kilometers in the same direction, the Penguin continued its journey and swam an additional 97.85 kilometers. What is the total distance that the Penguin swam?

Gemma 2B:

    Reasoning: The penguin swam a total of 95.34 + 41.6 = 136.94 kilometers in the first two parts of the journey.
    Adding the third part, the total distance becomes 136.94 + 97.85 = <<136.94+97.85 = 234.79>>234.79 kilometers.
    ### Answer: 234.79 kilometers.

Expected answer: 234.790000000000

Correct? Yes

🔗 Follow-up

Problem: Suppose instead of swimming 95.34 kilometers to the east initially, the penguin only swam 12 kilometers before continuing for another 41.6 kilometers in the same direction. How much distance would the penguin have covered in this scenario?

Gemma 2B:

    Reasoning: We need to find the total distance the penguin swam, which is 12 kilometers + 41.6 kilometers = <<12+41.6=53.6>>53.6 kilometers.
    ### Answer: 53.6 kilometers.

Expected answer: 53.6000000000000

Correct? Yes

🔗 Problem

Problem: A park installs a new slide that is 86.42 feet long. After it is extended by another 9.86 feet, how long is the slide then?

Gemma 2B:

    Reasoning: To find the total length of the slide after the extension, we need to add the extension length to the original length: 86.42 feet + 9.86 feet = 96.28 feet.
    ### Answer: 96.28 feet

Expected answer: 96.2800000000000

Correct? Yes

🔗 Follow-up

Problem: In the park, there is another identical slide next to the first one which also gets extended by the same 9.86 feet. After this extension, what is the total length of the two slides put together?

Gemma 2B:

    Reasoning: We know from the previous problem that one slide, after the extension, is 96.28 feet long. Since there are two identical slides, their total length would be 96.28 feet * 2 = 192.56 feet.
    ### Answer: 192.56 feet

Expected answer: 192.560000000000

Correct? Yes

🔗 Follow-up

Problem: Suppose the park decided to make an alteration to the plan and instead wanted to extend the slide by 81 feet rather than 9.86 feet. How long would the slide be after this extension?

Gemma 2B:

    Reasoning:  We need to add the new extension length to the slide's original length: 86.42 feet + 81 feet = 167.42 feet.
    ### Answer: 167.42 feet

Expected answer: 167.420000000000

Correct? Yes

🔗 Problem

Problem: Throughout the month, an ice cream shop sold 1878.8 gallons of ice cream in 44.0 equally profitable days. How many gallons of ice cream did they sell each day?

Gemma 2B:

    Reasoning: To find out how many gallons were sold each day, we need to divide the total gallons sold by the number of days the ice cream was sold for: 1878.8 gallons / 44.0 days = <<1878.8/44.0=42.7>>42.7 gallons/day.
    ### Answer: 42.7 gallons/day

Expected answer: 42.7000000000000

Correct? Yes

🔗 Follow-up

Problem: Considering the ice cream shop you previously calculated about. If the total amount of ice cream sold (1878.8 gallons) was actually spread over 87 days instead of 44.0 days, how many gallons of ice cream would have been sold each day?

Gemma 2B:

    Reasoning: To find out how many gallons were sold each day, we need to divide the total gallons sold by the new number of days: 1878.8 gallons / 87 days = <<1878.8/87=21.6>>21.6 gallons/day.
    ### Answer: 21.6 gallons/day

Expected answer: 21.5954022988506

Correct? Yes

🔗 Problem

Problem: A book has a total character count of 1540.93 characters and each word takes up about 22.3 characters. How many words should there be in the book?

Gemma 2B:

    Reasoning: The number of words in the book is equal to the total number of characters divided by the number of characters per word which is 1540.93/22.3 = <<1540.93/22.3=69.1>>69.1 words.
    Since we can't have a fraction of a word, we round to the nearest whole number.
    ### Answer: 69

Expected answer: 69.1000000000000

Correct? Yes

🔗 Problem

Problem: A pair of ice skates costs $81.66, and you decide to buy a set of skate guards for an additional $54.6. What is the total cost of the ice skates combined with the skate guards?

Gemma 2B:

    Reasoning: To find the total cost, we need to add the price of the ice skates to the price of the skate guards: $81.66 + $54.6 = $136.26
    ### Answer: $136.26

Expected answer: 136.260000000000

Correct? Yes

🔗 Follow-up

Problem: After buying the ice skates and skate guards, you decide to take advantage of a special offer that gives you a discount of $46.83. What would be your new total cost after this discount is applied?

Gemma 2B:

    Reasoning: To find the new total cost, we need to subtract the discount from the previous total cost: $136.26 - $46.83 = $89.43
    ### Answer: $89.43

Expected answer: 89.4300000000000

Correct? Yes

🔗 Follow-up

Problem: Suppose instead of the original pair of ice skates costing $81.66, you found a different pair on sale for only $25. If you still buy the skate guards for an additional $54.6, what would be the total cost of these discounted ice skates combined with the skate guards?

Gemma 2B:

    Reasoning: We need to add the price of the discounted ice skates to the price of the skate guards: $25 + $54.6 = $79.6
    ### Answer: $79.6

Expected answer: 79.6000000000000

Correct? Yes

🔗 Problem

Problem: A farmer harvests 36.0 kilograms of strawberries from his strawberry farm. After selling some, he has 22.6 kilograms left. How many kilograms of strawberries did he sell?

Gemma 2B:

    Reasoning: The farmer sold 36.0 - 22.6 = 13.4 kilograms of strawberries.
    ### Answer: 13.4 kilograms

Expected answer: 13.4000000000000

Correct? Yes

🔗 Follow-up

Problem: If originally, the farmer had harvested 36.0 kilograms of strawberries and now instead, he sold 12 kilograms of strawberries. How many kilograms of strawberries does he have left now?

Gemma 2B:

    Reasoning: The farmer has 36.0 - 12 = 24 kilograms of strawberries left.
    ### Answer: 24 kilograms

Expected answer: 24.0000000000000

Correct? Yes

🔗 Problem

Problem: A pillow originally costs $22.88 but is on sale. After the discount, the price is reduced to $14.2. What is the amount of the discount?

Gemma 2B:

    Reasoning: The amount of the discount is the original price minus the sale price: $22.88 - $14.2 = $8.68
    ### Answer: $8.68

Expected answer: 8.68000000000000

Correct? Yes

🔗 Follow-up

Problem: Consider the same scenario but with a different original cost. If the pillow originally cost $72 instead of $22.88 and its price is reduced to $14.2 after a sale, what would be the amount of the discount now?

Gemma 2B:

    Reasoning: The amount of the discount is the original price minus the sale price: $72 - $14.2 = $57.80
    ### Answer: $57.80

Expected answer: 57.8000000000000

Correct? Yes

🔗 Problem

Problem: A bunch of bananas originally weighed 77.8 grams. After removing the peel, which weighed 7.0 grams, what is the new weight of the bananas?

Gemma 2B:

    Reasoning: We must subtract the weight of the peel from the original weight of the bananas: 77.8 grams - 7.0 grams = 70.8 grams.
    ### Answer: 70.8 grams

Expected answer: 70.8000000000000

Correct? Yes

🔗 Follow-up

Problem: In the initial situation, the bunch of bananas weighed 79 grams instead of 77.8 grams. After removing the peel, which weighed 7.0 grams as before, what would be the new weight of the bananas this time?

Gemma 2B:

    Reasoning: We follow the same logic as before. We subtract the weight of the peel from the new original weight of the bananas: 79 grams - 7.0 grams = 72 grams.
    ### Answer: 72 grams

Expected answer: 72.0000000000000

Correct? Yes

🔗 Problem

Problem: Each page in a book has 15.18 words and the book has a total of 24.0 pages. How many words does the book contain in total?

Gemma 2B:

    Reasoning: We need to multiply the number of words per page by the total number of pages to find the total word count: 15.18 words/page * 24.0 pages = <<15.18*24=364.32>>364.32 words.
    ### Answer: 364.32 words.

Expected answer: 364.320000000000

Correct? Yes

🔗 Follow-up

Problem: Following up on our previous question about the book with 15.18 words per page and 24.0 pages, if 45.7 words were removed from the book for editing, how many words does the book contain now?

Gemma 2B:

    Reasoning: We previously calculated the book having 364.32 words.  After removing words, the book now has 364.32 - 45.7 = <<364.32-45.7=318.62>>318.62 words.
    ### Answer: 318.62 words.

Expected answer: 318.620000000000

Correct? Yes

🔗 Follow-up

Problem: Let's revisit the book situation again. What if, initially, each page in the book had 30 words instead of 15.18, and the book still had 24.0 pages. How many words would the book contain in that case?

Gemma 2B:

    Reasoning:  We would multiply the new number of words per page by the total number of pages: 30 words/page * 24 pages = <<30*24=720>>720 words.
    ### Answer: 720 words.

Expected answer: 720.000000000000

Correct? Yes

🔗 Problem

Problem: A camera company spent $530.12 to produce 5.8 identical cameras. How much does the company spend to manufacture each camera?

Gemma 2B:

    Reasoning: We need to divide the total cost by the number of cameras: $530.12 / 5.8 = $<<530.12/5.8=91.4>>91.40 per camera.
    ### Answer: $91.40

Expected answer: 91.4000000000000

Correct? Yes

🔗 Problem

Problem: A toy car model is 22.64 cm long. If one centimeter represents an actual length of 86.4 cm on the real car, what is the length of the actual car in centimeters?

Gemma 2B:

    Reasoning: Since every centimeter on the model represents 86.4 centimeters on the actual car, a 22.64 cm model represents an actual car length of 22.64 * 86.4 centimeters.
    22.64 * 86.4 = 1959.5776
    ### Answer: 1959.5776 centimeters

Expected answer: 1956.09600000000

Correct? No

🔗 Problem

Problem: Two kids are playing in a sandbox. The first kid pours 43.21 pounds of sand on their sandcastle, and the second kid adds 19.57 pounds of sand. How much does the sand on the sandcastle weigh in total?

Gemma 2B:

    Reasoning: To find the total weight we need to add the weight of the sand the first kid used and the weight of the sand the second kid used: 43.21 + 19.57 = <<43.21+19.57=62.78>>62.78 pounds.
    ### Answer: 62.78 pounds

Expected answer: 62.7800000000000

Correct? Yes

🔗 Follow-up

Problem: After the kids added sand to their sandcastle, they decided to make it even bigger. They multiplied the original weight of the sand by 46.6. What is the total weight of the sand in the sandcastle after their addition?

Gemma 2B:

    Reasoning: The original weight of the sandcastle was 62.78 pounds, and they multiplied that weight by 46.6: 62.78 * 46.6 = <<62.78*46.6=2925.948>>2925.948 pounds.
    ### Answer: 2925.948 pounds

Expected answer: 2925.54800000000

Correct? No

🔗 Problem

Problem: An online sock retailer has just checked their inventory and found that they have a total of 5600.48 meters of materials left. If it takes 98.6 meters of material to make one pair of socks, how many pairs of socks can they make with the amount of material they have left?

Gemma 2B:

    Reasoning: We must divide the total meters of materials left by the amount of material needed to make one pair of socks.
    Therefore, the retailer can make 5600.48 / 98.6 = <<5600.48/98.6=56.8>>56.8 pairs of socks.
    Since we can't make fractions of pairs of socks, we round down to the nearest whole number.
    ### Answer: 56

Expected answer: 56.8000000000000

Correct? Yes

🔗 Problem

Problem: The distance from the Earth to the Sun changes over the course of the year. On a particular day, an observatory measures the distance to be 56.14 million kilometers. They notice an increase in the following day by 15.25 million kilometers. How far is the Earth from the Sun on the second day in millions of kilometers?

Gemma 2B:

    Reasoning: Since the distance increased, we add the increase to the original distance to find the new distance. So the distance on the second day is 56.14 + 15.25 = 71.39 million kilometers.
    ### Answer: 71.39 million kilometers.

Expected answer: 71.3900000000000

Correct? Yes

🔗 Follow-up

Problem: As a follow-up to the previous problem, suppose that a space probe needs to use 50.03 kilograms of fuel for every million kilometers it travels towards the sun. If it starts its journey on the second day, how many kilograms of fuel will it need to reach the Sun?

Gemma 2B:

    Reasoning: The space probe needs to travel 71.39 million kilometers to reach the sun. Since it uses 50.03 kilograms of fuel per million kilometers, the total fuel needed is 71.39 * 50.03 = 3571.21 kilograms.
    ### Answer: 3571.21 kilograms

Expected answer: 3571.64170000000

Correct? No

🔗 Follow-up

Problem: As a follow up to the previous problem, suppose that instead of the initial distance being 56.14 million kilometers, the Earth was initially 60 million kilometers far from the Sun. After increasing by 15.25 million kilometers, what would be the distance from Earth to the Sun on the following day, in millions of kilometers?

Gemma 2B:

    Reasoning:  We take the initial distance and add the increase to find the final distance: 60 million kilometers + 15.25 million kilometers = 75.25 million kilometers.
    ### Answer: 75.25 million kilometers.

Expected answer: 75.2500000000000

Correct? Yes

🔗 Problem

Problem: The temperature in the cloud layer dropped from 92.5 degrees Fahrenheit to 57.07 degrees Fahrenheit. How much did the temperature change?

Gemma 2B:

    Reasoning: To find the temperature change, we need to subtract the final temperature from the initial temperature: 92.5 - 57.07 = <<92.5-57.07=35.43>>35.43 degrees Fahrenheit.
    ### Answer: 35.43 degrees Fahrenheit

Expected answer: 35.4300000000000

Correct? Yes

🔗 Follow-up

Problem: Suppose that for each degree drop in temperature, the cloud loses 97.29 liters of water vapor. How much water vapor would the cloud lose given the temperature change from the previous question?

Gemma 2B:

    Reasoning: The temperature dropped by 35.43 degrees Fahrenheit, and for each degree, the cloud loses 97.29 liters of water vapor.
    Therefore, the cloud would lose a total of 35.43 * 97.29 = <<35.43*97.29=3447.1847>>3447.1847 liters of water vapor.
    ### Answer: 3447.1847 liters

Expected answer: 3446.98470000000

Correct? No

🔗 Follow-up

Problem: Suppose that instead of dropping from 92.5 degrees Fahrenheit, the temperature in the cloud layer had dropped from 87 degrees Fahrenheit. How much would the temperature change be in this situation?

Gemma 2B:

    Reasoning: To find the temperature change, we subtract the final temperature (which is still 57.07 degrees Fahrenheit) from the new initial temperature: 87 - 57.07 = <<87-57.07=29.93>>29.93 degrees Fahrenheit.
    ### Answer: 29.93 degrees Fahrenheit

Expected answer: 29.9300000000000

Correct? Yes

🔗 Problem

Problem: A Giraffe walks 42.53 miles to the north in the morning then it walks another 28.9 miles to the east in the afternoon. What is the total distance the Giraffe walked in miles?

Gemma 2B:

    Reasoning: To find the total distance, we need to add the distance walked in the morning to the distance walked in the afternoon.
    This means we need to calculate 42.53 + 28.9
    ### Answer: 71.43 miles

Expected answer: 71.4300000000000

Correct? Yes

🔗 Follow-up

Problem: After the giraffe walks 42.53 miles to the north in the morning and 28.9 miles to the east in the afternoon, it then retraces 60.5 miles back towards its starting point. How many miles is the giraffe from its starting point now?

Gemma 2B:

    Reasoning:

    1. **Visualize:** Imagine the giraffe's journey as two sides of a right triangle. The northward walk is one leg, the eastward walk is the other, and the distance from the starting point is the hypotenuse.

    2. **Pythagorean Theorem:**  We can use the Pythagorean theorem to find the distance from the starting point after the first two walks: a² + b² = c²
       * a = 42.53 miles (north)
       * b = 28.9 miles (east)
       * c =  √(42.53² + 28.9²) = √(2607.0409) ≈ 51.06 miles

    3. **Retracing:** The giraffe walks 60.5 miles back towards its starting point. Since this is longer than the distance from the starting point (51.06 miles), we know it passes its starting point.

    4. **Final Calculation:**  Subtract the distance from the starting point (51.06 miles) from the distance retraced (60.5 miles) to find how far past the starting point the giraffe is: 60.5 miles - 51.06 miles = 9.44 miles

    ### Answer: 9.44 miles

Expected answer: 10.9300000000000

Correct? No

🔗 Follow-up

Problem: If the giraffe had walked 42.53 miles to the north in the morning and then 57 miles to the east in the afternoon instead of 28.9, how many miles in total would the giraffe have walked?

Gemma 2B:

    Reasoning: To find the total distance, we need to add the distance walked in the morning to the distance walked in the afternoon.
    This means we need to calculate 42.53 + 57
    ### Answer: 99.53 miles

Expected answer: 99.5300000000000

Correct? Yes

🔗 Problem

Problem: In a children's sandbox, there are 90.74 kilograms of sand on one side and 95.27 kilograms of sand on the other side. What is the total weight of sand in the sandbox?

Gemma 2B:

    Reasoning: We need to add the weight of sand on both sides to find the total weight: 90.74 kg + 95.27 kg = <<90.74+95.27=186.01>>186.01 kg
    ### Answer: 186.01 kg

Expected answer: 186.010000000000

Correct? Yes

🔗 Follow-up

Problem: From the previous word problem: The sandbox originally had 90.74 kilograms of sand on one side and 95.27 kilograms of sand on the other side. Follow-up question: But what if the sandbox originally had 59 kilograms of sand on the one side instead of 90.74 kilograms? What would be the total weight of the sand in the sandbox then, still considering there were 95.27 kilograms of sand on the other side?

Gemma 2B:

    Reasoning: We need to add the weight of sand on both sides to find the total weight: 59 kg + 95.27 kg = <<59+95.27=154.27>>154.27 kg
    ### Answer: 154.27 kg

Expected answer: 154.270000000000

Correct? Yes

🔗 Problem

Problem: A train ticket costs $14.15 and the cost of a meal on the train is $95.07. How much does it cost in total to buy the ticket and eat the meal?

Gemma 2B:

    Reasoning: The total cost is $14.15 + $95.07 = $<<14.15+95.07=109.22>>109.22
    ### Answer: $109.22

Expected answer: 109.220000000000

Correct? Yes

🔗 Follow-up

Problem: A train ticket costs $14.15 and the cost of a meal on the train is $95.07. After your meal, you decide to buy a cool souvenir train mug for $4.02. How much would it cost in total for the train ticket, meal, and souvenir mug?

Gemma 2B:

    Reasoning: The train ticket and meal cost $14.15 + $95.07 = $<<14.15+95.07=109.22>>109.22.
    Adding the souvenir mug, the total cost is $109.22 + $4.02 = $<<109.22+4.02=113.24>>113.24
    ### Answer: $113.24

Expected answer: 113.240000000000

Correct? Yes

🔗 Follow-up

Problem: The train ticket originally costs $14.15, and in this follow-up question, we're considering what happens if the meal cost is changed to $59. Now, how much is the total cost for the ticket and the meal?

Gemma 2B:

    Reasoning: The total cost is $14.15 + $59 = $<<14.15+59=73.15>>73.15
    ### Answer: $73.15

Expected answer: 73.1500000000000

Correct? Yes

🔗 Problem

Problem: One of your friends spends 56.1 dollars every day. In 91.13 days, how much total will your friend have spent?

Gemma 2B:

    Reasoning: In 91.13 days, your friend will have spent 56.1*91.13 = <<56.1*91.13=5116.093>>5116.093 dollars.
    ### Answer: 5116.093 dollars.

Expected answer: 5112.39300000000

Correct? No

🔗 Problem

Problem: Tom wrote 86.7 letters to his friends in one year, and he wrote 17.1 letters to his family throughout the same year. In total, how many letters did Tom write in that year?

Gemma 2B:

    Reasoning: Tom wrote a total of 86.7 + 17.1 = 103.8 letters in that year.
    ### Answer: 103.8

Expected answer: 103.800000000000

Correct? Yes

🔗 Problem

Problem: The average distance from the Earth to the Moon is 44.7 million kilometers. If another celestial body is 16.09 million kilometers closer to Earth than the Moon, what is the average distance from Earth to this celestial body in million kilometers?

Gemma 2B:

    Reasoning: To find the distance from Earth to the celestial body, we need to subtract the difference in distance from the Earth-Moon distance. This will be 44.7 million km - 16.09 million km = 28.61 million km.
    ### Answer: 28.61 million kilometers

Expected answer: 28.6100000000000

Correct? Yes

🔗 Problem

Problem: A scientist views a galaxy far away through her binoculars. The distance measured is 4299.12 light years and she views it over 85.3 different scopes. What is the approximate distance in light years that she sees through each scope?

Gemma 2B:

    Reasoning: To find the approximate distance seen through each scope, we divide the total distance by the number of scopes: 4299.12 light years / 85.3 scopes ≈ 50.39 light years/scope.
    ### Answer: 50.39 light years/scope.

Expected answer: 50.4000000000000

Correct? No

🔗 Problem

Problem: A water company has 1774.46 cubic meters of water, which needs to be divided equally into 28.9 storage tanks. How many cubic meters of water will each tank contain?

Gemma 2B:

    Reasoning: We need to divide the total amount of water by the number of tanks: 1774.46 cubic meters / 28.9 tanks = <<1774.46/28.9=61.4>>61.4 cubic meters per tank.
    ### Answer: 61.4 cubic meters

Expected answer: 61.4000000000000

Correct? Yes

🔗 Follow-up

Problem: Originally, the water company decided to divide the 1774.46 cubic meters of water between 28.9 storage tanks. However, it later decides to evenly distribute the water among 46 tanks instead. How many cubic meters of water will each tank contain under this new distribution plan?

Gemma 2B:

    Reasoning: We need to divide the total amount of water by the new number of tanks: 1774.46 cubic meters / 46 tanks = <<1774.46/46=38.57521739130435>>38.58 cubic meters per tank (rounded to two decimal places).
    ### Answer: 38.58 cubic meters

Expected answer: 38.5752173913043

Correct? Yes

🔗 Problem

Problem: A star's observed magnitude brightness is modified by 4.7 units when its intrinsic brightness is 96.46 units. What is the total magnitude brightness of the star when the modifications are added?

Gemma 2B:

    Reasoning:  The total magnitude brightness is found by adding the modification to the intrinsic brightness: 96.46 + 4.7 = 101.16
    ### Answer: 101.16

Expected answer: 101.160000000000

Correct? Yes

🔗 Follow-up

Problem: After the modifications, the star's magnitude brightness is multiplied by a factor of 96.1 due to interference from the earth's atmosphere. What is the value of the star's final observed brightness after being adjusted for atmospheric interference?

Gemma 2B:

    Reasoning: To find the final observed brightness, we multiply the magnitude brightness after modifications by the atmospheric interference factor: 101.16 * 96.1 = 9723.876
    ### Answer: 9723.876

Expected answer: 9721.47600000000

Correct? No

🔗 Follow-up

Problem: Suppose the star's observed magnitude brightness was modified by 54 units instead of 4.7 units, keeping its intrinsic brightness the same at 96.46 units. What would be the total magnitude brightness of the star then when these modifications are added?

Gemma 2B:

    Reasoning:  The total magnitude brightness is found by adding the modification to the intrinsic brightness: 96.46 + 54 = 150.46
    ### Answer: 150.46

Expected answer: 150.460000000000

Correct? Yes

🔗 Problem

Problem: A large blanket has a total area of 175.56 square feet and is rectangular. If the length of the blanket is 46.2 feet, what is the width in feet?

Gemma 2B:

    Reasoning: The area of a rectangle is calculated by multiplying the length and width (Area = Length x Width). We know the area is 175.56 square feet and the length is 46.2 feet.  Therefore, we can find the width by dividing the total area by the length: 175.56 square feet / 46.2 feet = 3.8 feet.
    ### Answer: 3.8 feet

Expected answer: 3.80000000000000

Correct? Yes

🔗 Follow-up

Problem: If a smaller blanket has a width of 94.35 feet, what would be the total width in feet if you laid the large and small blankets side by side?

Gemma 2B:

    Reasoning: We know the large blanket has a width of 3.8 feet and the smaller blanket has a width of 94.35 feet. To find the total width of both blankets side-by-side, we simply add the two widths together: 3.8 feet + 94.35 feet = 98.15 feet.
    ### Answer: 98.15 feet

Expected answer: 98.1500000000000

Correct? Yes

🔗 Follow-up

Problem: If the large blanket actually had a total area of 86 square feet instead of 175.56 while keeping the length identical at 46.2 feet, what would be the new width in feet?

Gemma 2B:

    Reasoning: We can use the same formula as before: Area = Length x Width.  We know the new area is 86 square feet and the length remains 46.2 feet. To find the new width, we divide the total area by the length: 86 square feet / 46.2 feet = 1.86 feet (approximately).
    ### Answer: 1.86 feet

Expected answer: 1.86147186147186

Correct? Yes

🔗 Problem

Problem: A candy store has 23.4 kilos of strawberry flavored candy and decides to add 98.1 kilos of the same flavor. How many kilos of strawberry flavored candy does the store have now?

Gemma 2B:

    Reasoning: To find the total weight of strawberry flavored candy, we need to add the initial amount to the added amount: 23.4 kilos + 98.1 kilos = <<23.4+98.1=121.5>>121.5 kilos
    ### Answer: 121.5 kilos

Expected answer: 121.500000000000

Correct? Yes

🔗 Problem

Problem: A window maker is creating a custom rectangular glass pane. If the length is 71.4 cm and the width is 54.58 cm, what is the total area of the window pane in cm²?

Gemma 2B:

    Reasoning:  The area of a rectangle is calculated by multiplying length and width: Area = length * width.
    In this case, the area of the window pane is 71.4 cm * 54.58 cm = 3894.732 cm².

    ### Answer: 3894.732 cm²

Expected answer: 3897.01200000000

Correct? No

🔗 Problem

Problem: A firefighter uses 37.7 liters of water to extinguish a small fire, then uses additional 85.93 liters to cool down the area, thereby preventing another potential fire. How many liters of water has the firefighter used in total?

Gemma 2B:

    Reasoning: To find the total liters of water used, we add the amount used for extinguishing the fire to the amount used for cooling down the area: 37.7 liters + 85.93 liters = 123.63 liters
    ### Answer: 123.63 liters

Expected answer: 123.630000000000

Correct? Yes

🔗 Follow-up

Problem: After successfully handling the small fire, the firefighter then moves on to control a medium fire, using an additional 46.61 liters of water. How many liters of water has the firefighter used in total?

Gemma 2B:

    Reasoning: We need to add the water used for the medium fire (46.61 liters) to the previous total of 123.63 liters: 123.63 liters + 46.61 liters = 170.24 liters.
    ### Answer: 170.24 liters

Expected answer: 170.240000000000

Correct? Yes

🔗 Follow-up

Problem: Suppose the firefighter initially used 92 liters of water to extinguish the small fire instead of 37.7 liters, but still uses an additional 85.93 liters to cool down the area. How many liters of water has the firefighter used in total now?

Gemma 2B:

    Reasoning: To find the total liters of water used, we add the new amount used for extinguishing the fire to the amount used for cooling down the area: 92 liters + 85.93 liters = 177.93 liters
    ### Answer: 177.93 liters

Expected answer: 177.930000000000

Correct? Yes

🔗 Problem

Problem: A chocolate factory makes 98.3 pounds of a special kind of chocolate in an hour. In 44.2 hours, how many pounds of chocolate does the factory produce?

Gemma 2B:

    Reasoning: We need to multiply the chocolate produced in one hour by the total number of hours. That is 98.3 x 44.2 = 4344.86 pounds.
    ### Answer: 4344.86 pounds

Expected answer: 4344.86000000000

Correct? Yes

🔗 Follow-up

Problem: Instead of making 98.3 pounds of special chocolate per hour, the factory decides to produce 64 pounds per hour. Using the same production cycle of 44.2 hours, how many pounds of the special chocolate would the factory produce under these adjusted conditions?

Gemma 2B:

    Reasoning: We need to multiply the new amount of chocolate produced per hour by the total number of hours. That is 64 x 44.2 = 2828.8 pounds.
    ### Answer: 2828.8 pounds

Expected answer: 2828.80000000000

Correct? Yes

🔗 Problem

Problem: Over the course of a winter season, a total of 509.39 inches of snowfall was measured. If each snowfall measured 38.3 inches, how many snowfalls were there during the season?

Gemma 2B:

    Reasoning: The number of snowfalls during the season equals the total snowfall divided by the snowfall per measurement, which is 509.39 inches / 38.3 inches/snowfall = 13.3 snowfalls.
    ### Answer: 13.3 snowfalls.

Expected answer: 13.3000000000000

Correct? Yes

🔗 Follow-up

Problem: Following the last snow season, the weather department is predicting that the upcoming season will have double the number of snowfalls as the previous season. If the previous season had a certain number of snowfalls, each measuring 38.3 inches for a total of 509.39 inches, how many snowfalls are expected in the upcoming winter season?

Gemma 2B:

    Reasoning:  The last season had 509.39 inches / 38.3 inches/snowfall = 13.3 snowfalls.
    Double the number of snowfalls from the previous season is 13.3 snowfalls * 2 = 26.6 snowfalls.
    ### Answer: 26.6 snowfalls.

Expected answer: 26.6000000000000

Correct? Yes

🔗 Follow-up

Problem: In retrospect, the Met Office revised their measurements for the previous winter season. Instead of a total of 509.39 inches of snowfall, there were only 83 inches, still with each snowfall measuring 38.3 inches. With that in mind, how many snowfalls were there truly last winter season?

Gemma 2B:

    Reasoning: With the revised total snowfall, the number of snowfalls would be the total snowfall divided by the snowfall per measurement, which is 83 inches / 38.3 inches/snowfall ≈ 2.17 snowfalls.
    ### Answer: ≈ 2.17 snowfalls.

Expected answer: 2.16710182767624

Correct? Yes

🔗 Problem

Problem: A clock measures 85.44 cm in overall height. The base of the clock takes up 1.58 cm of this height. How tall is the main body of the clock without the base?

Gemma 2B:

    Reasoning: The main body of the clock is 85.44 - 1.58 = <<85.44-1.58=83.86>>83.86 cm tall.
    ### Answer: 83.86 cm

Expected answer: 83.8600000000000

Correct? Yes

🔗 Follow-up

Problem: Following from the previous question, let's consider a smaller clock that initially measures 6 cm in height. If it also has a base of 1.58 cm that is removed, what would be the height of the main body of this smaller clock without the base?

Gemma 2B:

    Reasoning: The main body of the smaller clock would be 6 - 1.58 = <<6-1.58=4.42>>4.42 cm tall.
    ### Answer: 4.42 cm

Expected answer: 4.42000000000000

Correct? Yes

🔗 Problem

Problem: To make a large batch of hot chocolate, you use 3.91 ounces of cocoa powder per cup. If you are making 12.7 cups of hot chocolate, how much cocoa powder will you need?

Gemma 2B:

    Reasoning: You need 3.91 x 12.7 = <<3.91*12.7=49.697>>49.697 ounces of cocoa powder.
    ### Answer: 49.697 ounces.

Expected answer: 49.6570000000000

Correct? No

🔗 Problem

Problem: A toy car started with a speed of 98.9 cm/s. After 1 second, its speed reduced to 28.0 cm/s. What was the change in the toy car's speed?

Gemma 2B:

    Reasoning: The change in speed is found by subtracting the final speed from the initial speed: 98.9 cm/s - 28.0 cm/s = 70.9 cm/s.
    ### Answer: 70.9 cm/s

Expected answer: 70.9000000000000

Correct? Yes

🔗 Follow-up

Problem: Following up on the previous problem, the toy car runs on a battery that drains power proportional to the change in its speed per second. The rate is 24.8 mAh for each cm/s change in speed. How much power would the battery have drained in 1 second due to the speed change?

Gemma 2B:

    Reasoning: The change in speed was 70.9 cm/s, and the battery drains 24.8 mAh for each cm/s change in speed. Therefore, the total power drained in 1 second is 70.9 cm/s * 24.8 mAh/cm/s = 1758.92 mAh.
    ### Answer: 1758.92 mAh

Expected answer: 1758.32000000000

Correct? No

🔗 Follow-up

Problem: In the previous scenario, if the toy car's speed after 1 second was modified to 29 cm/s instead of 28.0 cm/s, what would be the new change in the toy car's speed?

Gemma 2B:

    Reasoning: With the modified final speed, the change in speed is calculated as 98.9 cm/s - 29 cm/s = 69.9 cm/s.
    ### Answer: 69.9 cm/s

Expected answer: 69.9000000000000

Correct? Yes

🔗 Problem

Problem: A turtle travels at a speed of 23.0 km/h. How far will the turtle go in 46.7 hours?

Gemma 2B:

    Reasoning:  We can calculate the distance the turtle travels using the formula:
    Distance = Speed * Time
    Distance the turtle travels = 23.0 km/h * 46.7 h = 1074.1 km.
    ### Answer: 1074.1 km

Expected answer: 1074.10000000000

Correct? Yes

🔗 Follow-up

Problem: In the previous scenario, we assumed the turtle was traveling at a speed of 23.0 km/h. However, let's consider a different scenario where the turtle travels at an increased speed of 70 km/h. In this case, how far would the turtle travel in 46.7 hours?

Gemma 2B:

    Reasoning:  We can calculate the distance the turtle travels using the formula:
    Distance = Speed * Time
    Distance the turtle travels = 70 km/h * 46.7 h = 3269 km.
    ### Answer: 3269 km

Expected answer: 3269.00000000000

Correct? Yes

🔗 Problem

Problem: A lion hunter observes two prides in the savannah. He counts 25.5 lions in one pride and 29.9 lions in the other pride (counting half a lion if the lion is a cub). How many lions (including cubs as half) did the lion hunter count in total?

Gemma 2B:

    Reasoning: The hunter saw 25.5 + 29.9 = <<25.5+29.9=55.4>>55.4 lions in total.
    ### Answer: 55.4

Expected answer: 55.4000000000000

Correct? Yes

🔗 Follow-up

Problem: Following the previous question, the lion hunter then sees a third pride that has a total of 3.72 lions (including cubs as half). How many lions (taking cubs as half each) did the lion hunter count across all three prides?

Gemma 2B:

    Reasoning: The hunter saw 55.4 + 3.72 = <<55.4+3.72=59.12>>59.12 lions in total.
    ### Answer: 59.12

Expected answer: 59.1200000000000

Correct? Yes

🔗 Follow-up

Problem: Following the previous story, what if the lion hunter actually saw 76 lions in the first pride instead of 25.5 that he initially counted? When he then counted the second pride with 29.9 lions (including cubs as half), how many lions (considering cubs as half each) did the lion hunter count in total?

Gemma 2B:

    Reasoning: In total, the hunter saw 76 + 29.9 = <<76+29.9=105.9>>105.9 lions.
    ### Answer: 105.9

Expected answer: 105.900000000000

Correct? Yes

🔗 Problem

Problem: A brown bear ate 50.1 pounds of fish in the morning. Then, it ate another 65.7 pounds in the afternoon. How many total pounds of fish did the brown bear consume in one day?

Gemma 2B:

    Reasoning: To find the total pounds of fish the bear ate, we need to add the amount eaten in the morning to the amount eaten in the afternoon: 50.1 pounds + 65.7 pounds = 115.8 pounds
    ### Answer: 115.8 pounds

Expected answer: 115.800000000000

Correct? Yes

🔗 Follow-up

Problem: A brown bear ate 50.1 pounds of fish in the morning. Then, it ate another 21 pounds in the afternoon instead of 65.7 pounds. How many total pounds of fish did the brown bear consume in one day now?

Gemma 2B:

    Reasoning: To find the total pounds of fish the bear ate, we need to add the amount eaten in the morning to the amount eaten in the afternoon: 50.1 pounds + 21 pounds = 71.1 pounds
    ### Answer: 71.1 pounds

Expected answer: 71.1000000000000

Correct? Yes

🔗 Problem

Problem: A bakery initially has 62.06 kilograms of flour. After making a batch of cakes, they are left with 51.59 kilograms of flour. How many kilograms of flour were used to make the cakes?

Gemma 2B:

    Reasoning: To find out how much flour was used, we need to subtract the remaining amount of flour from the initial amount.
    This means we need to calculate 62.06 kg - 51.59 kg = 10.47 kg.
    ### Answer: 10.47 kg

Expected answer: 10.4700000000000

Correct? Yes

🔗 Follow-up

Problem: After calculating the flour used to make the cakes, suppose this amount is then mixed with 74.2 grams of sugar per kilogram of the flour. How many grams of sugar would be needed in total?

Gemma 2B:

    Reasoning: We know that 10.47 kg of flour was used for the cakes.  Since we need 74.2 grams of sugar per kilogram of flour, the total amount of sugar needed is 10.47 kg * 74.2 g/kg = 777.174 grams.
    ### Answer: 777.174 grams

Expected answer: 776.874000000000

Correct? No

🔗 Follow-up

Problem: Suppose the bakery initially started with 68 kilograms of flour instead of 62.06 kilograms. How many kilograms of flour would have been used to make the cakes then?

Gemma 2B:

    Reasoning: The amount of flour used is determined by the difference between the initial amount and the remaining amount, which is 51.59 kg.
    Therefore, the bakery would have used 68 kg - 51.59 kg = 16.41 kg of flour.
    ### Answer: 16.41 kg

Expected answer: 16.4100000000000

Correct? Yes

🔗 Problem

Problem: A mermaid has found a sunken treasure chest containing some gold pieces and a pearl. The gold is worth $86.7 and the pearl is worth $11.99. How much is the total worth of the treasure found by the mermaid?

Gemma 2B:

    Reasoning: To find the total worth of the treasure, we need to add the worth of the gold and the pearl.
    This means we need to calculate $86.7 + $11.99 = $98.69
    ### Answer: $98.69

Expected answer: 98.6900000000000

Correct? Yes

🔗 Follow-up

Problem: After adding the value of the gold and the pearl, the mermaid decides to give $28.05 worth of her treasure to her best sea creature friend. How much is the value of the remaining treasures after giving away part of it?

Gemma 2B:

    Reasoning: To find the value of the remaining treasure, we need to subtract the worth of the treasure given away from the total worth of the treasure.
    This means we need to calculate $98.69 - $28.05 = $70.64
    ### Answer: $70.64

Expected answer: 70.6400000000000

Correct? Yes

🔗 Follow-up

Problem: Suppose instead of the gold being worth $86.7, it was actually worth $71. Now how much is the total value of the treasure the mermaid found?

Gemma 2B:

    Reasoning:  We need to add the new worth of the gold ($71) to the value of the pearl ($11.99).
    So, the total worth is $71 + $11.99 = $82.99
    ### Answer: $82.99

Expected answer: 82.9900000000000

Correct? Yes

🔗 Problem

Problem: An astronaut moves a distance of 85.3 meters from the spaceship and then moves another 85.98 meters further out into space. What is the total distance the astronaut moved away from the spaceship?

Gemma 2B:

    Reasoning: To find the total distance, we need to add the two distances the astronaut moved. So, 85.3 + 85.98 = 171.28 meters.
    ### Answer: 171.28 meters

Expected answer: 171.280000000000

Correct? Yes

🔗 Follow-up

Problem: The astronaut originally was at a distance of 61 meters from the spaceship before he moved an additional 85.98 meters further out into space. What is the total distance the astronaut moved away from the spaceship given this new initial distance?

Gemma 2B:

    Reasoning: To find the total distance, we need to add the initial distance to the distance the astronaut moved further. So, 61 + 85.98 = 146.98 meters.
    ### Answer: 146.98 meters

Expected answer: 146.980000000000

Correct? Yes

🔗 Problem

Problem: A tent has a rectangular floor with a length of 44.68 feet and a width of 49.75 feet. What is the area of the tent's floor in square feet?

Gemma 2B:

    Reasoning: The area of a rectangle is calculated by multiplying its length and width.
    Therefore, the area of the tent's floor is 44.68 feet * 49.75 feet = <<44.68*49.75=2224.03>>2224.03 square feet.
    ### Answer: 2224.03 square feet.

Expected answer: 2222.83000000000

Correct? No

🔗 Problem

Problem: A craftsman is making a bracelet which requires 10.7 grams of silver for each charm. If the bracelet needs 4.54 charms, how many grams of silver are needed in total for the charms on the bracelet?

Gemma 2B:

    Reasoning: We need to multiply the number of charms by the amount of silver per charm to find the total amount of silver needed.
    So, the craftsman needs 10.7 * 4.54 = <<10.7*4.54=48.578>>48.578 grams of silver.
    ### Answer: 48.578 grams

Expected answer: 48.5780000000000

Correct? Yes

🔗 Follow-up

Problem: Now consider that the craftsman is planning to make two such identical bracelets. How many grams of silver are needed in total for the charms on both bracelets?

Gemma 2B:

    Reasoning: We already know that one bracelet needs 48.578 grams of silver.
    Since the craftsman is making two identical bracelets, he needs 48.578 * 2 = <<48.578*2=97.156>>97.156 grams of silver in total.
    ### Answer: 97.156 grams

Expected answer: 97.1560000000000

Correct? Yes

🔗 Follow-up

Problem: Now consider that the craftsman decided to make a different bracelet which requires 12 charms instead of 4.54. How many grams of silver are needed in total for the charms on this new bracelet?

Gemma 2B:

    Reasoning:  We need to multiply the new number of charms by the amount of silver per charm (which hasn't changed).
    The craftsman now needs 12 * 10.7 = <<12*10.7=128.4>>128.4 grams of silver.
    ### Answer: 128.4 grams

Expected answer: 128.400000000000

Correct? Yes

🔗 Problem

Problem: A city bus has a capacity of 68.0 passengers. If 10.66 seats are reserved for specific riders, how many seats are available for general riders?

Gemma 2B:

    Reasoning: The number of seats for general riders is 68.0 - 10.66 = <<68.0-10.66 = 57.34>>57.34
    ### Answer: 57.34

Expected answer: 57.3400000000000

Correct? Yes

🔗 Follow-up

Problem: From the previous problem, we knew a city bus has a capacity of 68.0 passengers with 10.66 seats reserved for specific riders. Now, suppose there are an additional 73.24 available seats added to the bus after an upgrade. How many total seats are now available for general riders after the upgrade?

Gemma 2B:

    Reasoning: From before, there were 68.0 - 10.66 = <<68.0-10.66 = 57.34>>57.34 seats available for general riders.
    After the upgrade, there are 57.34 + 73.24 = <<57.34 + 73.24 = 130.58>>130.58 seats available for general riders.
    ### Answer: 130.58

Expected answer: 130.580000000000

Correct? Yes

🔗 Follow-up

Problem: From the previous problem, a city bus was upgraded to have more seats for general riders. However, now consider that originally, the bus only had a capacity of 28 passengers instead of 68.0, with the same 10.66 seats reserved for specific riders. How many seats would then have been available for general riders before the upgrade?

Gemma 2B:

    Reasoning: The number of seats for general riders would have been 28 - 10.66 = <<28-10.66 = 17.34>>17.34
    ### Answer: 17.34

Expected answer: 17.3400000000000

Correct? Yes

🔗 Problem

Problem: A ballerina performed a dance routine that was exactly 93.5 seconds long. She repeated this routine exactly 72.0 times for her various performances, recitals, and practices. How much total time did she spend performing this specific routine?

Gemma 2B:

    Reasoning: The total time spent performing the routine is 93.5*72.0 = <<93.5*72=6732>>6732 seconds.
    ### Answer: 6732 seconds.

Expected answer: 6732.00000000000

Correct? Yes

🔗 Follow-up

Problem: In the previous scenario, the ballerina danced her main routine 72.0 times. However, let's consider what would happen if she only performed it 25 times instead. How much total time would she spend if she only performed her main routine 25 times?

Gemma 2B:

    Reasoning: The total time spent performing the routine 25 times is 93.5*25 = <<93.5*25=2337.5>>2337.5 seconds.
    ### Answer: 2337.5 seconds.

Expected answer: 2337.50000000000

Correct? Yes

🔗 Problem

Problem: A certain type of flower takes up 2833.45 milliliters of water over 30.5 days. On average, how much water does this flower consume every day?

Gemma 2B:

    Reasoning: We must divide the total milliliters of water consumed by the number of days to find the average daily consumption: 2833.45 milliliters / 30.5 days = 92.9 milliliters/day.
    ### Answer: 92.9 milliliters/day

Expected answer: 92.9000000000000

Correct? Yes

🔗 Follow-up

Problem: If the same type of flower were to take in water for 29.3 days at the same average rate, how much total water would the flower consume in that time?

Gemma 2B:

    Reasoning: We must multiply the average daily consumption of the flower by the number of days it consumes water for: 92.9 milliliters/day * 29.3 days = 2723.97 milliliters.
    ### Answer: 2723.97 milliliters

Expected answer: 2721.97000000000

Correct? No

🔗 Follow-up

Problem: If the flower was instead taking up 2833.45 milliliters of water over a longer period of 51 days, how much water would this flower consume on average each day?

Gemma 2B:

    Reasoning: Similar to before, we divide the total water consumption by the number of days: 2833.45 milliliters / 51 days = 55.5578 milliliters/day (approximately).
    ### Answer: 55.56 milliliters/day (approximately)

Expected answer: 55.5578431372549

Correct? Yes

🔗 Problem

Problem: A factory produces toothbrushes. Each toothbrush costs $71.15 to make. If the factory produces 77.5 toothbrushes in an hour, how much does it cost to manufacture those toothbrushes in that hour?

Gemma 2B:

    Reasoning: We need to multiply the number of toothbrushes produced in an hour by the cost of manufacturing one toothbrush, so the cost is 77.5*71.15 = $<<77.5*71.15=5517.125>>5517.125.
    ### Answer: $5517.125

Expected answer: 5514.12500000000

Correct? No

🔗 Problem

Problem: An artist uses 98.06 liters of blue paint to create a mural. If the cost of each liter of blue paint is 1.67 dollars, then how much does the volume of paint used in the mural cost?

Gemma 2B:

    Reasoning: The total cost of the paint is 98.06 * 1.67 = <<98.06*1.67=163.7602>>163.7602 dollars.
    Rounding to the nearest cent, the paint costs 163.76 dollars.
    ### Answer: 163.76 dollars.

Expected answer: 163.760200000000

Correct? Yes

🔗 Follow-up

Problem: The artist had initially set aside 54.95 dollars for buying the blue paint. After purchasing all the paint needed for the mural, how much did they spent in excess of the initial amount?

Gemma 2B:

    Reasoning: The artist spent 163.76 - 54.95 = <<163.76-54.95=108.81>>108.81 dollars in excess of the initial amount.
    ### Answer: 108.81 dollars.

Expected answer: 108.810200000000

Correct? Yes

🔗 Follow-up

Problem: Instead of using 1.67 dollars per liter, imagine that each liter of blue paint cost 81 dollars. Under these altered circumstances, how much would the volume of paint used cost in total?

Gemma 2B:

    Reasoning: The total cost of the paint would be 98.06 liters * 81 dollars/liter = 7942.86 dollars.
    ### Answer: 7942.86 dollars.

Expected answer: 7942.86000000000

Correct? Yes

🔗 Problem

Problem: A chocolate maker purchased a total of 23.76 kg of milk chocolate and 49.8 kg of dark chocolate. What is the total weight in kg of the chocolate purchased?

Gemma 2B:

    Reasoning: To find the total weight, we need to add the weight of the milk chocolate to the weight of the dark chocolate: 23.76 kg + 49.8 kg = 73.56 kg.
    ### Answer: 73.56 kg

Expected answer: 73.5600000000000

Correct? Yes

🔗 Follow-up

Problem: The chocolate maker originally thought they had purchased 23.76 kg of milk chocolate, but realized later that they had actually bought 91 kg of milk chocolate. Given that they still purchased 49.8 kg of dark chocolate as initially thought, what would be the new total weight in kg of the chocolate purchased?

Gemma 2B:

    Reasoning: To find the new total weight, we need to add the corrected weight of the milk chocolate to the weight of the dark chocolate: 91 kg + 49.8 kg = 140.8 kg.
    ### Answer: 140.8 kg

Expected answer: 140.800000000000

Correct? Yes

🔗 Problem

Problem: A bakery sells each cookie for $79.4. If they sell 26.9 cookies, how much will they make?

Gemma 2B:

    Reasoning: The bakery will make 79.4*26.9 = $<<79.4*26.9=2135.86>>2135.86
    ### Answer: $2135.86

Expected answer: 2135.86000000000

Correct? Yes

🔗 Follow-up

Problem: After selling 26.9 cookies at $79.4 each, the bakery realizes an expense of $8.7. How much profit does the bakery make after this expense is deducted from the sales?

Gemma 2B:

    Reasoning: The bakery makes 79.4*26.9 = $<<79.4*26.9=2135.86>>2135.86 from selling the cookies.
    After covering the expense, the bakery makes 2135.86-8.7 = $<<2135.86-8.7=2127.16>>2127.16
    ### Answer: $2127.16

Expected answer: 2127.16000000000

Correct? Yes

🔗 Follow-up

Problem: Now consider the bakery decides to sell 76 cookies instead of 26.9, each still sold at a price of $79.4. How much money will they make from these sales?

Gemma 2B:

    Reasoning: The bakery will make 76 * $79.4 = $<<76*79.4=6034.4>>6034.4 from selling 76 cookies.
    ### Answer: $6034.4

Expected answer: 6034.40000000000

Correct? Yes

🔗 Problem

Problem: A piano is initially tuned to play notes at 74.5 Hz, but its tuning slips, and it now plays notes at 21.6 Hz less. What frequency does the piano now play notes at?

Gemma 2B:

    Reasoning: The piano now plays notes at 74.5 - 21.6 = <<74.5-21.6=52.9>>52.9 Hz.
    ### Answer: 52.9 Hz

Expected answer: 52.9000000000000

Correct? Yes

🔗 Follow-up

Problem: After the tuning slips, the frequency a piano plays notes at is further reduced by 39.2 Hz. What frequency does the piano play notes at now?

Gemma 2B:

    Reasoning: We need to reduce the out-of-tune frequency from the previous problem by 39.2 Hz: 52.9 Hz - 39.2 Hz = <<52.9-39.2=13.7>>13.7 Hz.
    ### Answer: 13.7 Hz

Expected answer: 13.7000000000000

Correct? Yes

🔗 Problem

Problem: A toy factory makes toy cars. Each car is sold for $10.2. If the factory managed to sell 47.97 cars in a day, how much total amount did the factory make from selling toy cars? Remember, a fraction of a car still makes money!

Gemma 2B:

    Reasoning: The factory made 47.97*$10.2 = $<<47.97*10.2=489.294>>489.294 from selling toy cars.
    ### Answer: $489.294

Expected answer: 489.294000000000

Correct? Yes

🔗 Follow-up

Problem: Following up on the previous scenario, the toy factory also made an additional $74.2 from selling accessories for the toy cars on the same day. What is the total amount of money the factory made from selling both the toy cars and the accessories?

Gemma 2B:

    Reasoning: The factory made a total of $489.294 + $74.2 = $<<489.294+74.2=563.494>>563.494 from selling both the cars and the accessories.
    ### Answer: $563.494

Expected answer: 563.494000000000

Correct? Yes

🔗 Follow-up

Problem: Let's revisit the scenario at the toy factory. Instead of selling 10.2 toy cars, they actually sold 63 toy cars in a day, with each car still priced at $47.97. How much total revenue did the factory now make from selling toy cars?

Gemma 2B:

    Reasoning: The factory made 63 * $47.97 = $<<63*47.97=3022.11>>3022.11 from selling toy cars.
    ### Answer: $3022.11

Expected answer: 3022.11000000000

Correct? Yes

🔗 Problem

Problem: A superhero can fly 854.0 miles in a day. If he can fly for only 24.4 hours in a day, how many miles can he fly in one hour?

Gemma 2B:

    Reasoning:  The superhero flies 854.0/24.4 = <<854.0/24.4=35>>35 miles in one hour.
    ### Answer: 35 miles

Expected answer: 35.0000000000000

Correct? Yes

🔗 Follow-up

Problem: Following up from the previous question where the superhero could fly a certain distance in an hour, let's assume he has a battery pack that allows him to fly an additional 81.04 miles per hour. Adding this extra distance to the previously calculated hourly flight distance, how many miles can the superhero now travels in an hour with his improved abilities?

Gemma 2B:

    Reasoning: The superhero can now fly 35 + 81.04 = <<35+81.04=116.04>>116.04 miles in an hour.
    ### Answer: 116.04 miles

Expected answer: 116.040000000000

Correct? Yes

🔗 Problem

Problem: A type of starfish has an average weight of 47.33 grams. A certain aquarium houses 11.07 times the average weight of this starfish. What is the total weight of starfish in the aquarium?

Gemma 2B:

    Reasoning: We can find the total weight of starfish in the aquarium by multiplying the average weight of a starfish by the number of average starfish weights represented by the aquarium's starfish population: 47.33 x 11.07 = <<47.33*11.07=524.0031>>524.0031 grams.
    ### Answer: 524.0031 grams

Expected answer: 523.943100000000

Correct? No

🔗 Problem

Problem: A UFO was detected at an altitude of 72.18 km. It then descended to an altitude of 70.7 km. By how many km did the UFO descend?

Gemma 2B:

    Reasoning: We need to find the difference between the two altitudes: 72.18 km - 70.7 km = 1.48 km
    ### Answer: 1.48 km

Expected answer: 1.48000000000000

Correct? Yes

🔗 Follow-up

Problem: Following the UFO's descent from an altitude of 72.18 km to 70.7 km, it then flew an additional distance calculated by multiplying the distance it descended by 37.2. What is this additional distance flown by the UFO?

Gemma 2B:

    Reasoning: The UFO descended 1.48 km, and the additional distance is 37.2 times that amount. So, the additional distance is 1.48 km * 37.2 = 55.056 km.
    ### Answer: 55.056 km

Expected answer: 55.0560000000000

Correct? Yes

🔗 Follow-up

Problem: Following the UFO's additional movement, suppose it originally descended from an altitude of 90 km instead of 72.18 km to the same final altitude of 70.7 km. How much would it have descended then?

Gemma 2B:

    Reasoning: To find the total descent, we subtract the final altitude from the original altitude: 90 km - 70.7 km = 19.3 km
    ### Answer: 19.3 km

Expected answer: 19.3000000000000

Correct? Yes

🔗 Problem

Problem: A region received 41.4 inches of rain evenly over 11.5 days. How many inches of rain did the region receive each day?

Gemma 2B:

    Reasoning: To find the amount of rain per day, we need to divide the total rain by the number of days: 41.4 inches / 11.5 days = 3.6 inches/day
    ### Answer: 3.6 inches/day

Expected answer: 3.60000000000000

Correct? Yes

🔗 Follow-up

Problem: If the region continued to receive the same amount of rain per day for the following 6.43 days, how many additional inches of rain would the region receive?

Gemma 2B:

    Reasoning: If the region received 3.6 inches of rain each day for 6.43 days, it would receive a total of 3.6 inches/day * 6.43 days = 23.148 inches of rain.
    ### Answer: 23.148 inches

Expected answer: 23.1480000000000

Correct? Yes

🔗 Follow-up

Problem: If instead of 11.5 days, the region originally received the total of 41.4 inches of rain over a period of 21 days, how many inches of rain would the region have received each day?

Gemma 2B:

    Reasoning: To find the amount of rain per day, we need to divide the total rain by the number of days: 41.4 inches / 21 days = 1.97 inches/day (approximately)
    ### Answer: 1.97 inches/day

Expected answer: 1.97142857142857

Correct? Yes

🔗 Problem

Problem: If a soap bubble has a circumference of 32.3 cm and another bubble has a circumference of 21.1 cm, what is the total circumference of the two bubbles?

Gemma 2B:

    Reasoning: To find the total circumference, we simply add the circumferences of the two bubbles.
    32.3 cm + 21.1 cm = 53.4 cm
    ### Answer: 53.4 cm

Expected answer: 53.4000000000000

Correct? Yes

🔗 Problem

Problem: A robot worker was able to complete 1402.7 units of work over a period of 84.5 hours. If the robot worked at a constant rate, how many units of work did it complete per hour?

Gemma 2B:

    Reasoning: To find the units of work completed per hour, divide the total units of work by the total time:  1402.7 units / 84.5 hours = <<1402.7/84.5=16.6>>16.6 units per hour.
    ### Answer: 16.6 units per hour

Expected answer: 16.6000000000000

Correct? Yes

🔗 Follow-up

Problem: If the optimal work rate for such robots is 43.9 units per hour, by how much was this robot's work rate short of the optimal rate?

Gemma 2B:

    Reasoning: Subtract the robot's actual work rate from the optimal work rate: 43.9 units/hour - 16.6 units/hour = <<43.9-16.6=27.3>>27.3 units/hour.
    ### Answer: 27.3 units per hour

Expected answer: 27.3000000000000

Correct? Yes

🔗 Follow-up

Problem: Suppose the robot completed the work over 76 hours instead of 84.5 hours, while still accomplishing 1402.7 units of work. What would then be the unit of work completed per hour in this case?

Gemma 2B:

    Reasoning: We will use the same logic as the previous problem. To find the units of work completed per hour, divide the total units of work by this new total time: 1402.7 units / 76 hours = <<1402.7/76=18.456578947368422>>18.46 units per hour (rounded to two decimal places).
    ### Answer: 18.46 units per hour

Expected answer: 18.4565789473684

Correct? Yes

🔗 Problem

Problem: A toy car that operates on battery can travel a total distance of 5460.48 meters on a single battery charge. If the battery lasts for 86.4 minutes, what is the toy car's speed in meters per minute?

Gemma 2B:

    Reasoning: To find the speed, we'll divide the total distance traveled by the total time the battery lasts: 5460.48 meters / 86.4 minutes = <<5460.48/86.4=63.2>>63.2 meters per minute.
    ### Answer: 63.2 meters per minute.

Expected answer: 63.2000000000000

Correct? Yes

🔗 Follow-up

Problem: A competitor's toy car runs at a speed of 66.1 meters per minute. By how much is this faster than our toy car that runs at a speed determined by traveling a total distance of 5460.48 meters over 86.4 minutes of battery life?

Gemma 2B:

    Reasoning:  We first need to calculate the speed of our toy car: 5460.48 meters / 86.4 minutes = 63.2 meters per minute.
    Then we subtract the speed of our toy car from the competitor's toy car speed to find the difference:  66.1 meters per minute - 63.2 meters per minute = 2.9 meters per minute.
    ### Answer: 2.9 meters per minute.

Expected answer: 2.90000000000000

Correct? Yes

🔗 Follow-up

Problem: If the battery life of our toy car was instead 41 minutes while still covering the distance of 5460.48 meters, how would that alter the toy car's speed in meters per minute?

Gemma 2B:

    Reasoning: With a shorter battery life but the same distance, we divide the total distance by the new battery life: 5460.48 meters / 41 minutes = <<5460.48/41=133.18>>133.18 meters per minute.
    ### Answer: 133.18 meters per minute.

Expected answer: 133.182439024390

Correct? Yes

🔗 Problem

Problem: A robot travels a total distance of 1149.72 meters over a time span of 15.6 minutes. Find out how many meters the robot travels per minute.

Gemma 2B:

    Reasoning: To find out how many meters the robot travels per minute, we divide the total distance traveled by the total time taken. That is 1149.72 meters / 15.6 minutes = 73.7 meters/minute.
    ### Answer: 73.7 meters/minute

Expected answer: 73.7000000000000

Correct? Yes

🔗 Follow-up

Problem: The robot mentioned before that travels a total distance of 1149.72 meters over a time span of 15.6 minutes has an energy consumption rate of 25.58 joules per meter. How much total energy does the robot consume in joules during this span of time?

Gemma 2B:

    Reasoning: The total energy consumed by the robot is equal to the total distance traveled multiplied by the energy consumption rate. That gives us 1149.72 meters * 25.58 joules/meter = 29400.1376 joules.
    ### Answer: 29400.1376 joules

Expected answer: 1885.24600000000

Correct? No

🔗 Follow-up

Problem: In the same scenario as before, let's consider if the robot traveled a lesser distance of 46 meters over the same time span of 15.6 minutes. How many meters would the robot travel per minute then?

Gemma 2B:

    Reasoning: Similar to before, we need to divide the total distance traveled by the total time taken. This gives us 46 meters / 15.6 minutes = 2.95 meters/minute (rounded to two decimal places).
    ### Answer: 2.95 meters/minute

Expected answer: 2.94871794871795

Correct? Yes

🔗 Problem

Problem: A sleeping bag manufacturer has 2631.68 square feet of material to use, and each sleeping bag requires 51.2 square feet of material. How many sleeping bags can the manufacturer produce with the available material?

Gemma 2B:

    Reasoning: The manufacturer can produce 2631.68 / 51.2 = <<2631.68/51.2=51.4>>51.4 sleeping bags.
    Since we can't make parts of a sleeping bag, the manufacturer can make 51 complete sleeping bags.
    ### Answer: 51

Expected answer: 51.4000000000000

Correct? Yes

🔗 Problem

Problem: Consider that a plane has been traveling at a speed of 60.6 km/hr, and then it speeds up to 83.84 km/hr. What is the combined speed of the plane at both rates?

Gemma 2B:

    Reasoning: To find the combined speed, we take the average of the two speeds: (60.6 km/hr + 83.84 km/hr) / 2 = 72.22 km/hr.
    ### Answer: 72.22 km/hr.

Expected answer: 144.440000000000

Correct? No

🔗 Problem

Problem: You have a computer game that you play for 96.6 hours and it consumes 2714.46 MBs of data. How many MBs of data does it consume per hour?

Gemma 2B:

    Reasoning: The computer game consumes 2714.46/96.6 = <<2714.46/96.6=28.1>>28.1 MBs of data per hour.
    ### Answer: 28.1 MBs

Expected answer: 28.1000000000000

Correct? Yes

🔗 Follow-up

Problem: In the original scenario, assume instead that the computer game consumes 2714.46 MBs of data over 4 hours of gameplay. In this case, how many MBs of data would the game consume per hour?

Gemma 2B:

    Reasoning: The computer game consumes 2714.46/4 = <<2714.46/4=678.615>>678.615 MBs of data per hour.
    ### Answer: 678.615 MBs

Expected answer: 678.615000000000

Correct? Yes

🔗 Problem

Problem: If a kite traveled 7102.88 meters over the course of 86.2 minutes, how many meters does the kite travel per minute?

Gemma 2B:

    Reasoning: To find the number of meters the kite travels per minute, we divide the total distance traveled by the total time: 7102.88 meters / 86.2 minutes = 82.4 meters/minute.
    ### Answer: 82.4 meters/minute

Expected answer: 82.4000000000000

Correct? Yes

🔗 Follow-up

Problem: In a revision of the previous scenario, let's say the kite actually traveled 7102.88 meters over the course of 83 minutes instead of 86.2 minutes. In this case, how many meters would the kite have traveled per minute?

Gemma 2B:

    Reasoning: Similar to before, we'll divide the total distance (which remains the same) by the new total time: 7102.88 meters / 83 minutes = 85.6 meters/minute.
    ### Answer: 85.6 meters/minute

Expected answer: 85.5768674698795

Correct? Yes

🔗 Problem

Problem: A juice stand can make 792.78 liters of orange juice using 18.1 kilograms of oranges. If each kilogram of oranges generates the same amount of juice, how many liters of juice does each kilogram of oranges produce?

Gemma 2B:

    Reasoning: To find out how many liters of juice each kilogram of oranges produces, we divide the total liters of juice by the total kilograms of oranges: 792.78 liters / 18.1 kilograms = 43.8 liters per kilogram.
    ### Answer: 43.8 liters

Expected answer: 43.8000000000000

Correct? Yes

🔗 Follow-up

Problem: Follow up question to previous problem: After finding out how many liters of juice each kilogram of oranges produces, if we have 4.8 kilograms of oranges, how many liters of juice can we make from them?

Gemma 2B:

    Reasoning: Since each kilogram of oranges produces 43.8 liters of juice, with 4.8 kilograms of oranges, we can make 43.8 liters/kilogram * 4.8 kilograms = 210.24 liters of juice.
    ### Answer: 210.24 liters

Expected answer: 210.240000000000

Correct? Yes

🔗 Follow-up

Problem: Follow-up to the previous problem: Instead of using 18.1 kilograms of oranges, what if the juice stand used 38 kilograms of oranges to make 792.78 liters of juice? In this case, how many liters of juice would be produced by each kilogram of oranges?

Gemma 2B:

    Reasoning: To find out how many liters of juice each kilogram of oranges would produce, we divide the total liters of juice by the new total kilograms of oranges: 792.78 liters / 38 kilograms = 20.8626 liters per kilogram. Rounding to the nearest hundredth gives us 20.86 liters per kilogram.
    ### Answer: 20.86 liters

Expected answer: 20.8626315789474

Correct? Yes

🔗 Problem

Problem: A skateboard part costs $52.9 and a sticker costs $95.23. What would the total cost be if you buy both items?

Gemma 2B:

    Reasoning: We need to add the price of the skateboard part to the price of the sticker to find the total cost: $52.9 + $95.23 = $<<52.9+95.23=148.13>>148.13
    ### Answer: $148.13

Expected answer: 148.130000000000

Correct? Yes

🔗 Follow-up

Problem: In addition to the skateboard part and the sticker, you also plan on buying a helmet that costs $84.8. What would the total cost be for all three items?

Gemma 2B:

    Reasoning: We need to add the price of the helmet to the total cost of the skateboard part and sticker from the previous problem: $148.13 + $84.8 = $<<148.13+84.8=232.93>>232.93
    ### Answer: $232.93

Expected answer: 232.930000000000

Correct? Yes

🔗 Follow-up

Problem: Suppose instead of the skateboard part costing $52.9, it actually cost $33. How much would the total cost be if you purchased this skateboard part and the $95.23 sticker?

Gemma 2B:

    Reasoning: We need to add the price of the skateboard part to the price of the sticker to find the total cost: $33 + $95.23 = $<<33+95.23=128.23>>128.23
    ### Answer: $128.23

Expected answer: 128.230000000000

Correct? Yes

🔗 Problem

Problem: An elephant weighs 94.76 tons. After losing weight, it now weighs 42.8 tons. How much weight did the elephant lose?

Gemma 2B:

    Reasoning: To find out how much weight the elephant lost, we need to subtract its current weight from its original weight: 94.76 tons - 42.8 tons = <<94.76-42.8=51.96>>51.96 tons.
    ### Answer: 51.96 tons

Expected answer: 51.9600000000000

Correct? Yes

🔗 Follow-up

Problem: In the same scenario, suppose instead that the elephant's original weight was 49 tons before it started losing weight and reached 42.8 tons. How much weight did the elephant lose in this case?

Gemma 2B:

    Reasoning: We need to subtract the elephant's final weight from its initial weight to determine the weight loss: 49 tons - 42.8 tons = <<49-42.8=6.2>>6.2 tons.
    ### Answer: 6.2 tons

Expected answer: 6.20000000000000

Correct? Yes

🔗 Problem

Problem: A food manufacturer packages two types of cheese, one weighing 92.6 grams and the other 91.7 grams. What is the total weight of the two types of cheese when packaged together?

Gemma 2B:

    Reasoning: To find the total weight, we need to add the weight of both types of cheese: 92.6 grams + 91.7 grams = 184.3 grams
    ### Answer: 184.3 grams

Expected answer: 184.300000000000

Correct? Yes

🔗 Follow-up

Problem: After packaging together the two types of cheese, the food manufacturer realizes that the package needs to maintain a standard weight of 72.5 grams. How much does the manufacturer need to subtract from the total weight of the combination of the two cheeses to meet this standard?

Gemma 2B:

    Reasoning: We need to subtract the standard weight from the combined weight of the two cheeses to find the difference: 184.3 grams - 72.5 grams = 111.8 grams.
    ### Answer: 111.8 grams

Expected answer: 111.800000000000

Correct? Yes

🔗 Follow-up

Problem: Let's reconsider the problem by supposing that the weight of the first type of cheese was originally 15 grams instead of 92.6 grams. What would then be the total weight of the two types of cheese when packaged together?

Gemma 2B:

    Reasoning:  We need to add the weight of the first type of cheese (now 15 grams) to the weight of the second type of cheese (still 91.7 grams): 15 grams + 91.7 grams = 106.7 grams
    ### Answer: 106.7 grams

Expected answer: 106.700000000000

Correct? Yes

🔗 Problem

Problem: A boat traveled a total distance of 3762.8 miles in 46.0 hours. If the speed remains constant, how many miles per hour does the boat travel?

Gemma 2B:

    Reasoning: To find the speed of the boat, we divide the total distance traveled by the time it took to travel that distance.
    Speed = Total distance / Time = 3762.8 miles / 46.0 hours = <<3762.8/46=81.8>>81.8 miles/hour.
    ### Answer: 81.8 miles/hour.

Expected answer: 81.8000000000000

Correct? Yes

🔗 Problem

Problem: On a farm, there are 77.66 acres of land. If 31.94 acres are used for growing corn, how many acres are not used for growing corn?

Gemma 2B:

    Reasoning: We need to subtract the acres used for corn from the total acres: 77.66 acres - 31.94 acres = 45.72 acres.
    ### Answer: 45.72 acres.

Expected answer: 45.7200000000000

Correct? Yes

🔗 Follow-up

Problem: On a farm, there are 77.66 acres of land. If 31.94 acres are used for growing corn, how many acres are not used for growing corn? If each of the unused acres can yield 6.5 bushels of wheat, how many bushels of wheat can be grown in total?

Gemma 2B:

    Reasoning: First find the number of unused acres: 77.66 acres - 31.94 acres = 45.72 acres.
    Then multiply that number by the yield per acre to find the total yield: 45.72 acres * 6.5 bushels/acre = 297.18 bushels.
    ### Answer: 297.18 bushels.

Expected answer: 297.180000000000

Correct? Yes

🔗 Follow-up

Problem: In the same farm scenario, suppose there had originally been 81 acres of land instead of 77.66. If still 31.94 acres are used for growing corn, how many acres would now be left unused?

Gemma 2B:

    Reasoning:  We follow the same process as before, subtracting the corn acreage from the new total acreage: 81 acres - 31.94 acres = 49.06 acres.
    ### Answer: 49.06 acres.

Expected answer: 49.0600000000000

Correct? Yes

🔗 Problem

Problem: A giraffe is 48.29 feet tall. If the height of its body (not including the neck) is 6.6 feet, how tall is its neck?

Gemma 2B:

    Reasoning: We can find the height of the giraffe's neck by subtracting the height of its body from its total height:  48.29 feet - 6.6 feet = 41.69 feet.
    ### Answer: 41.69 feet

Expected answer: 41.6900000000000

Correct? Yes

🔗 Problem

Problem: A jacket requires 96.1 square feet of material to make. If a factory produces 67.9 such jackets, what is the total amount of material required in square feet?

Gemma 2B:

    Reasoning: The factory needs 96.1 x 67.9 = <<96.1*67.9=6520.19>>6520.19 square feet of material.
    ### Answer: 6520.19 square feet

Expected answer: 6525.19000000000

Correct? No

🔗 Problem

Problem: A rocket needs to reach a specific altitude to deliver a satellite. Currently, it has risen to an altitude of 43.2 km, but it needs to ascend an additional 90.0 km to reach the necessary position. What will be the rocket's altitude when it has ascended the additional distance?

Gemma 2B:

    Reasoning: To find the final altitude, we need to add the current altitude to the additional ascent: 43.2 km + 90.0 km = 133.2 km.
    ### Answer: 133.2 km

Expected answer: 133.200000000000

Correct? Yes

🔗 Follow-up

Problem: Continuing from the initial scenario, suppose the rocket initially only rose to an altitude of 43.2 km and needed to ascend an additional 15 km to deliver the satellite into its required position. What would be the rocket's altitude when it has ascended the additional distance?

Gemma 2B:

    Reasoning: To find the final altitude, we need to add the initial altitude to the additional ascent: 43.2 km + 15 km = 58.2 km.
    ### Answer: 58.2 km

Expected answer: 58.2000000000000

Correct? Yes

🔗 Problem

Problem: A skateboard travels a total of 3769.24 meters in 48.2 minutes. If it traveled at a constant speed, how many meters does it cover in one minute?

Gemma 2B:

    Reasoning:  To find the distance covered in one minute, divide the total distance traveled by the total time: 3769.24 meters / 48.2 minutes = <<3769.24/48.2=78.2>>78.2 meters per minute.
    ### Answer: 78.2 meters

Expected answer: 78.2000000000000

Correct? Yes

🔗 Follow-up

Problem: The skateboard travels a total of 3769.24 meters in 48.2 minutes. If it traveled at a constant speed, how many meters does it cover in one minute? After subtracting 58.8 meters from this distance, how far has the skateboard traveled?

Gemma 2B:

    Reasoning:  To find the distance covered in one minute, divide the total distance traveled by the total time: 3769.24 meters / 48.2 minutes = <<3769.24/48.2=78.2>>78.2 meters per minute.
    After subtracting 58.8 meters, the skateboard has traveled 78.2 - 58.8 = <<78.2-58.8=19.4>>19.4 meters.
    ### Answer: 19.4 meters

Expected answer: 19.4000000000000

Correct? Yes

🔗 Follow-up

Problem: A skateboard travels a total of 63 meters in 48.2 minutes. If it traveled at a constant speed, how many meters does it cover in one minute?

Gemma 2B:

    Reasoning: To find the distance covered in one minute, divide the total distance traveled by the total time: 63 meters / 48.2 minutes = <<63/48.2=1.307>>1.307 meters per minute (rounded to three decimal places).
    ### Answer: 1.307 meters

Expected answer: 1.30705394190871

Correct? Yes

🔗 Problem

Problem: There are 14.0 marshmallows in one bag and 6.9 marshmallows in another bag. How many marshmallows are there in total?

Gemma 2B:

    Reasoning: We need to add the number of marshmallows in each bag. This means we need to calculate 14.0 + 6.9 = <<14+6.9=20.9>>20.9 marshmallows.
    ### Answer: 20.9

Expected answer: 20.9000000000000

Correct? Yes

🔗 Follow-up

Problem: If each marshmallow in both bags was replicated the exact number of times equal to the total of marshmallows in the two bags, how many marshmallows would there then be in total?

Gemma 2B:

    Reasoning: We know from the previous problem that there are 20.9 marshmallows in total. If each marshmallow was replicated 20.9 times, there would be 20.9 * 20.9 = <<20.9*20.9= 436.81>>436.81 marshmallows
    ### Answer: 436.81

Expected answer: 436.810000000000

Correct? Yes

🔗 Follow-up

Problem: If there were 90 marshmallows in the first bag instead of 14.0, and 6.9 marshmallows in the second bag, how many marshmallows would there be in total?

Gemma 2B:

    Reasoning: Again, we need to add the number of marshmallows in each bag. This means we need to calculate 90 + 6.9 = <<90+6.9=96.9>>96.9 marshmallows.
    ### Answer: 96.9

Expected answer: 96.9000000000000

Correct? Yes

🔗 Problem

Problem: A Stegosaurus dinosaur weighs 92.8 tons. A Triceratops dinosaur is 69.3 tons heavier than a Stegosaurus. How heavy is the Triceratops dinosaur?

Gemma 2B:

    Reasoning:  The Triceratops dinosaur weighs 92.8 + 69.3 = <<92.8+69.3=162.1>>162.1 tons.
    ### Answer: 162.1 tons

Expected answer: 162.100000000000

Correct? Yes

🔗 Follow-up

Problem: After the Triceratops dinosaur, the heaviest dinosaur is a type that is 59.6 times the weight of the Triceratops. How heavy is this dinosaur?

Gemma 2B:

    Reasoning: This dinosaur weighs 162.1 x 59.6 = <<162.1 * 59.6 = 9663.16>>9663.16 tons.
    ### Answer: 9663.16 tons

Expected answer: 9661.16000000000

Correct? No

🔗 Follow-up

Problem: Suppose instead of the Triceratops being 69.3 tons heavier than the Stegosaurus, it was only 26 tons heavier. How heavy would the Triceratops be then?

Gemma 2B:

    Reasoning: The Triceratops dinosaur would weigh 92.8 + 26 = <<92.8+26=118.8>>118.8 tons.
    ### Answer: 118.8 tons

Expected answer: 118.800000000000

Correct? Yes

🔗 Problem

Problem: During a firefighting mission, a firefighter's oxygen tank starts with 97.3 liters of oxygen. After entering the burning building, he uses an additional 22.1 liters of oxygen from a supplementary bottle. How much total oxygen does he have for this mission?

Gemma 2B:

    Reasoning: To find the total amount of oxygen, we need to add the amount in his tank to the amount in the supplementary bottle: 97.3 liters + 22.1 liters = 119.4 liters.
    ### Answer: 119.4 liters.

Expected answer: 119.400000000000

Correct? Yes

🔗 Follow-up

Problem: After using the oxygen from the supplementary bottle, the firefighter finds another backup oxygen source that adds an additional 21.46 liters of oxygen. How much total oxygen does he now have for the mission, including the backup source?

Gemma 2B:

    Reasoning: We need to add the oxygen from the backup source to the total amount he had after using the supplementary bottle, which was 119.4 liters. So, the total is now 119.4 liters + 21.46 liters = 140.86 liters.
    ### Answer: 140.86 liters.

Expected answer: 140.860000000000

Correct? Yes

🔗 Follow-up

Problem: Originally, the firefighter's oxygen tank did not start with 97.3 liters, but with 36 liters of oxygen instead. After adding the 22.1 liters of oxygen from the supplementary bottle, how much total oxygen does he have for the mission at that point?

Gemma 2B:

    Reasoning: We need to add the initial amount of oxygen in the tank to the amount from the supplementary bottle: 36 liters + 22.1 liters = 58.1 liters.
    ### Answer: 58.1 liters.

Expected answer: 58.1000000000000

Correct? Yes

🔗 Problem

Problem: A jeweler melts 6.9 ounces of gold to make a ring. If one ounce of gold costs $60.77, what is the total cost of the gold used to make the ring?

Gemma 2B:

    Reasoning: The total cost of the gold is 6.9 * $60.77 = $419.31
    ### Answer: $419.31

Expected answer: 419.313000000000

Correct? Yes

🔗 Follow-up

Problem: Suppose the jeweler decides to use less gold and only melts down 6.9 grams instead. If one gram of gold still costs $3, what is the total cost of the gold now used to make the ring?

Gemma 2B:

    Reasoning: The total cost of the gold is now 6.9 * $3 = $20.70
    ### Answer: $20.70

Expected answer: 20.7000000000000

Correct? Yes

🔗 Problem

Problem: A scooter travels at a constant speed of 95.1 kilometers per hour. How far will the scooter travel, in kilometers, if it keeps this speed for 4.8 hours?

Gemma 2B:

    Reasoning: The scooter travels 95.1 kilometers every hour. To find the total distance travelled in 4.8 hours, we multiply the speed by the time: 95.1 kilometers/hour * 4.8 hours = <<95.1*4.8=456.48>>456.48 kilometers.
    ### Answer: 456.48 kilometers.

Expected answer: 456.480000000000

Correct? Yes

🔗 Follow-up

Problem: In the previous problem, the scooter initially traveled at a constant speed of 95.1 kilometers per hour. What if instead, the scooter initially traveled at a lower speed of 27 kilometers per hour. What will be the total distance traveled in 4.8 hours at this reduced speed?

Gemma 2B:

    Reasoning: At the reduced speed of 27 kilometers per hour, the scooter will travel 27 kilometers every hour. To find the total distance travelled in 4.8 hours, we multiply the speed by the time: 27 kilometers/hour * 4.8 hours = <<27*4.8=129.6>>129.6 kilometers.
    ### Answer: 129.6 kilometers.

Expected answer: 129.600000000000

Correct? Yes

🔗 Problem

Problem: A cat runs at a speed of 37.7 feet per second. How far will the cat run in 12.29 seconds?

Gemma 2B:

    Reasoning: We need to multiply the cat's speed by the time to find the distance.
    So, the cat will run 37.7 * 12.29 = <<37.7*12.29=463.833>>463.833 feet in 12.29 seconds.
    ### Answer: 463.833 feet.

Expected answer: 463.333000000000

Correct? No

🔗 Problem

Problem: A snowball that was 15.8 inches in diameter was rolled and grew at a constant rate until it was 30.8 times its original size. What is the size of the snowball now?

Gemma 2B:

    Reasoning: We need to multiply the snowball's original size by 30.8 to find its new size: 15.8 inches * 30.8 = <<15.8*30.8=486.64>>486.64 inches.
    ### Answer: 486.64 inches

Expected answer: 486.640000000000

Correct? Yes

🔗 Follow-up

Problem: A snowball that was 15.8 inches in diameter was rolled and grew at a constant rate until it was 30.8 times its original size. Then, due to the sun's heat, it shrank, losing 82.03 inches of its size. What is the size of the snowball now?

Gemma 2B:

    Reasoning: First, we need to find the snowball's largest size: 15.8 inches * 30.8 = <<15.8*30.8=486.24>>486.24 inches.
    Then, we subtract the amount the snowball shrank to find its current size: 486.24 inches - 82.03 inches = <<486.24-82.03=404.21>>404.21 inches.
    ### Answer: 404.21 inches

Expected answer: 404.610000000000

Correct? No

🔗 Follow-up

Problem: Suppose the snowball that was initially 15.8 inches in diameter was rolled and grew at a constant rate until it was 38 times its original size, instead of 30.8 times. What would be the size of the snowball then?

Gemma 2B:

    Reasoning: We need to multiply the snowball's original size by 38 to find its new size: 15.8 inches * 38 = <<15.8*38=600.4>>600.4 inches.
    ### Answer: 600.4 inches

Expected answer: 600.400000000000

Correct? Yes

🔗 Problem

Problem: A doll-making factory produces 16.54 identical dolls in an hour. If they operate for 87.1 hours, then how many dolls are being produced during this period?

Gemma 2B:

    Reasoning: In 87.1 hours, the factory produces 16.54*87.1 = <<16.54*87.1=1441.034>>1441.034 dolls.
    Since we can't have fractions of dolls, we round to the nearest whole number.
    ### Answer: 1441

Expected answer: 1440.63400000000

Correct? No

🔗 Problem

Problem: The length of the chain on one side of a swing is 89.5 cm. The length of the chain on the other side of the swing is 70.77 cm. What is the total length of the chain used for the swing?

Gemma 2B:

    Reasoning: The total length of chain used is 89.5 cm + 70.77 cm = 160.27 cm
    ### Answer: 160.27 cm

Expected answer: 160.270000000000

Correct? Yes

🔗 Follow-up

Problem: The length of the chain on one side of a swing is 89.5 cm. The length of the chain on the other side of the swing is 70.77 cm, and there is an additional 3.5 cm chain used to attach the swing to the frame. What is the total length of the chain used for the swing, including the attachment?

Gemma 2B:

    Reasoning: The total length of the chain for the swing sides is 89.5 cm + 70.77 cm = 160.27 cm.
    Adding the attachment chain, the total length becomes 160.27 cm + 3.5 cm = 163.77 cm
    ### Answer: 163.77 cm

Expected answer: 163.770000000000

Correct? Yes

🔗 Follow-up

Problem: Previously, the length of the chain on one side of a swing was 89.5 cm. However, after some adjustments, the new length of the chain on this side is now 13 cm. The length of the chain on the other side remains the same at 70.77 cm. What is the total length of the chain used for the swing now?

Gemma 2B:

    Reasoning: The total length of chain used now is 13 cm + 70.77 cm = 83.77 cm.
    ### Answer: 83.77 cm

Expected answer: 83.7700000000000

Correct? Yes

🔗 Problem

Problem: A candy store had 30.83 pounds of chocolate candies in its stock. After selling some candies, the store was left with 29.0 pounds of chocolate candies. How many pounds of candies were sold?

Gemma 2B:

    Reasoning: To find the amount of candy sold, we subtract the remaining weight from the initial weight: 30.83 - 29.0 = 1.83 pounds.
    ### Answer: 1.83 pounds

Expected answer: 1.83000000000000

Correct? Yes

🔗 Follow-up

Problem: The candy store manager realized that they had made an error in their original calculation, and the store was actually initially stocked with 30.83 pounds of chocolate candies but ended up with 15 pounds after some sales. How many pounds of candies were really sold?

Gemma 2B:

    Reasoning: To find the actual amount of candy sold, we subtract the final weight from the initial weight: 30.83 - 15 = 15.83 pounds.
    ### Answer: 15.83 pounds

Expected answer: 15.8300000000000

Correct? Yes

🔗 Problem

Problem: You bought a watch for $58.36, but it was on sale and you got a discount of $19.96. How much did you end up paying for the watch?

Gemma 2B:

    Reasoning: We need to subtract the discount from the original price to find the final price: $58.36 - $19.96 = $<<58.36-19.96=38.4>>38.40
    ### Answer: $38.40

Expected answer: 38.4000000000000

Correct? Yes

🔗 Follow-up

Problem: Continuing from the previous question, you decide to sell the watch you bought for a profit, marking up the price you paid by 15.28 times. How much are you selling the watch for?

Gemma 2B:

    Reasoning: To find the selling price, multiply the price you paid by 15.28: $38.40 * 15.28 = $<<38.40*15.28=587.52>>587.52
    ### Answer: $587.52

Expected answer: 586.752000000000

Correct? No

🔗 Follow-up

Problem: In the previous scenario, what if the discount on the watch was instead $36.00 instead of $19.96? How much would you have paid for the watch in this case?

Gemma 2B:

    Reasoning: Again, we subtract the discount from the original price: $58.36 - $36.00 = $<<58.36-36=22.36>>22.36
    ### Answer: $22.36

Expected answer: 22.3600000000000

Correct? Yes

🔗 Problem

Problem: If one minute of observing time with a powerful telescope costs $6.9, how much would it cost for 63.2 minutes of observation time?

Gemma 2B:

    Reasoning: The total cost for 63.2 minutes of observation time is $6.9 * 63.2 = $435.08
    ### Answer: $435.08

Expected answer: 436.080000000000

Correct? No

🔗 Problem

Problem: Two comets traveled a total distance in space. The first comet covered a distance of 32.52 million kilometers, and the second traveled 27.3 million kilometers. Combining the two, what is the total distance both comets traveled?

Gemma 2B:

    Reasoning: To find the total distance, we need to add the distance traveled by the first comet to the distance traveled by the second comet: 32.52 million kilometers + 27.3 million kilometers = 59.82 million kilometers.
    ### Answer: 59.82 million kilometers.

Expected answer: 59.8200000000000

Correct? Yes

🔗 Follow-up

Problem: Reconsidering the two comets, suppose this time the first comet covered a distance of 61 million kilometers instead of 32.52 million kilometers, and the second traveled the same distance as before, i.e. 27.3 million kilometers. Combining the two, what is the total distance both comets traveled now?

Gemma 2B:

    Reasoning: To find the total distance, we need to add the new distance traveled by the first comet to the distance traveled by the second comet: 61 million kilometers + 27.3 million kilometers = 88.3 million kilometers.
    ### Answer: 88.3 million kilometers.

Expected answer: 88.3000000000000

Correct? Yes

🔗 Problem

Problem: A tiger's territory is a rectangle measuring 50.53 km by 82.82 km. What's the total area of the tiger's territory in square kilometers?

Gemma 2B:

    Reasoning: To find the area of a rectangle, we multiply its length and width: 50.53 km * 82.82 km = 4189.6746 square kilometers
    ### Answer: 4189.6746 square kilometers

Expected answer: 4184.89460000000

Correct? No

🔗 Problem

Problem: In a certain puzzle game, each puzzle piece is worth 93.11 points. If a player collects 42.7 pieces, how many points would they have in total?

Gemma 2B:

    Reasoning: To find the total points, we multiply the number of pieces by the points per piece: 42.7 pieces * 93.11 points/piece = <<42.7*93.11=3978.797>>3978.797 points
    ### Answer: 3978.797 points

Expected answer: 3975.79700000000

Correct? No

🔗 Problem

Problem: A wizard crafted a magical potion from two ingredients. The first ingredient has a quantity of 56.9 units and the second one has a quantity of 59.42 units. How many units are there in total in the potion?

Gemma 2B:

    Reasoning: To find the total quantity, we need to add the quantity of the first ingredient to the quantity of the second ingredient: 56.9 + 59.42 = 116.32
    ### Answer: 116.32

Expected answer: 116.320000000000

Correct? Yes

🔗 Follow-up

Problem: Suppose the wizard initially started with a different quantity of the first ingredient, having 51 units instead of 56.9 units. How many units would there be in total in the potion then?

Gemma 2B:

    Reasoning: We add the new quantity of the first ingredient to the unchanged quantity of the second ingredient: 51 + 59.42 = 110.42
    ### Answer: 110.42

Expected answer: 110.420000000000

Correct? Yes