🔗 Problem

Problem: A sock company packages their socks in sets of 40. They have 2840 socks to package, and they currently have 93 packs already made. How many packs of socks will they have in total once all the socks have been packaged? Afterward, they received an another shipment of 70 packs of socks, but had to return 8 due to quality issues. How many packs of socks does the company have now?

Gemma 2B:

    First, let's determine how many additional packs of socks the company can make with the 2840 socks they have.

    Each pack contains 40 socks, so we divide the total number of socks by the number of socks per pack:
    \[ \frac{2840}{40} = 71 \]

    This means the company can make 71 additional packs with the 2840 socks.

    Next, we add these 71 packs to the 93 packs they already have:
    \[ 93 + 71 = 164 \]

    So, the company will have 164 packs of socks once all the socks have been packaged.

    Afterward, the company received an additional shipment of 70 packs of socks. Adding these to the 164 packs they already have:
    \[ 164 + 70 = 234 \]

    However, they had to return 8 packs due to quality issues:
    \[ 234 - 8 = 226 \]

    Therefore, the company now has 226 packs of socks.

    ### Answer: 226

Expected answer: 226

Correct? Yes

🔗 Problem

Problem: A gardener has a field where he planted 80 rose bushes, with each bush producing 30 roses. Before he is able to gather them, a storm blows away 43 roses. How many roses are remaining in the field?

Gemma 2B:

    First, we need to determine the total number of roses produced by the 80 rose bushes. Each bush produces 30 roses, so we calculate:

    \[ 80 \text{ bushes} \times 30 \text{ roses per bush} = 2400 \text{ roses} \]

    Next, we account for the 43 roses that were blown away by the storm. We subtract this number from the total number of roses:

    \[ 2400 \text{ roses} - 43 \text{ roses} = 2357 \text{ roses} \]

    Therefore, the number of roses remaining in the field is:

    ### Answer: 2357

Expected answer: 2357

Correct? Yes

🔗 Follow-up

Problem: The gardener realizes afterwards that he initially miscounted the rose bushes in the field. It turns out there were not 80, but 84 rose bushes instead, each still producing 30 roses, and the storm still managed to blow away 43 roses. How many roses does he actually have remaining in the field after the correction?

Gemma 2B:

    First, we need to determine the total number of roses produced by the 84 rose bushes. Each bush produces 30 roses, so we calculate:

    \[ 84 \text{ bushes} \times 30 \text{ roses per bush} = 2520 \text{ roses} \]

    Next, we account for the 43 roses that were blown away by the storm. We subtract this number from the total number of roses:

    \[ 2520 \text{ roses} - 43 \text{ roses} = 2477 \text{ roses} \]

    Therefore, the number of roses remaining in the field after the correction is:

    ### Answer: 2477

Expected answer: 2477

Correct? Yes

🔗 Problem

Problem: A dolphin can leap (3 + 59) feet high. If a dolphin completes 89 jumps in a day, how many feet in total has the dolphin jumped in that day?

Gemma 2B:

    First, we need to determine the height of one leap by the dolphin. The height of one leap is given by the expression \(3 + 59\):

    \[ 3 + 59 = 62 \text{ feet} \]

    Next, we need to find the total height jumped by the dolphin in a day if it completes 89 jumps. We do this by multiplying the height of one leap by the number of jumps:

    \[ 62 \text{ feet/jump} \times 89 \text{ jumps} \]

    To perform the multiplication:

    \[ 62 \times 89 \]

    We can break this down using the distributive property:

    \[ 62 \times 89 = 62 \times (90 - 1) = 62 \times 90 - 62 \times 1 \]

    First, calculate \(62 \times 90\):

    \[ 62 \times 90 = 5580 \]

    Next, calculate \(62 \times 1\):

    \[ 62 \times 1 = 62 \]

    Now, subtract the two results:

    \[ 5580 - 62 = 5518 \]

    Therefore, the total height the dolphin has jumped in a day is:

    ### Answer: 5518 feet

Expected answer: 5518

Correct? Yes

🔗 Follow-up

Problem: Continuing from the original scenario, suppose we made a mistake in our measurements and realized that the dolphin, in fact, can leap (41 + 59) feet high instead of (3 + 59) feet. Considering this, if the dolphin still completes 89 jumps in a day, how many feet in total has the dolphin jumped in that day now?

Gemma 2B:

    First, we need to determine the correct height of one leap by the dolphin. The height of one leap is now given by the expression \(41 + 59\):

    \[ 41 + 59 = 100 \text{ feet} \]

    Next, we need to find the total height jumped by the dolphin in a day if it completes 89 jumps. We do this by multiplying the height of one leap by the number of jumps:

    \[ 100 \text{ feet/jump} \times 89 \text{ jumps} \]

    To perform the multiplication:

    \[ 100 \times 89 = 8900 \]

    Therefore, the total height the dolphin has jumped in a day is:

    ### Answer: 8900 feet

Expected answer: 8900

Correct? Yes

🔗 Problem

Problem: A candy store starts the day with 81 pieces of candy. They receive a delivery adding another 6 candies, but they sell 61 throughout the day. How many pieces of candy does the store have left?

Gemma 2B:

    To determine how many pieces of candy the store has left, we need to follow these steps:

    1. Start with the initial number of pieces of candy.
    2. Add the number of pieces received in the delivery.
    3. Subtract the number of pieces sold throughout the day.

    Let's perform the calculations step-by-step:

    1. Initial number of pieces of candy: 81
    2. Add the delivery: \( 81 + 6 = 87 \)
    3. Subtract the pieces sold: \( 87 - 61 = 26 \)

    So, the store has 26 pieces of candy left at the end of the day.

    ### Answer: 26

Expected answer: 26

Correct? Yes

🔗 Follow-up

Problem: Continuing from the original scenario, suppose the candy store started the day with 81 pieces of candy and received a delivery adding 6, but this time, they only sold 7 candies throughout the day. How many pieces of candy does the store now have left?

Gemma 2B:

    To determine how many pieces of candy the store has left, we will follow the same steps as before:

    1. Start with the initial number of pieces of candy.
    2. Add the number of pieces received in the delivery.
    3. Subtract the number of pieces sold throughout the day.

    Let's perform the calculations step-by-step:

    1. Initial number of pieces of candy: 81
    2. Add the delivery: \( 81 + 6 = 87 \)
    3. Subtract the pieces sold: \( 87 - 7 = 80 \)

    So, the store has 80 pieces of candy left at the end of the day.

    ### Answer: 80

Expected answer: 80

Correct? Yes

🔗 Problem

Problem: A sports store received a huge shipment of 6806 pairs of ice skates. If they evenly distribute the skates over 82 separate stores, how many pairs of ice skates does each store receive?

Gemma 2B:

    To determine how many pairs of ice skates each store receives, we need to divide the total number of pairs of ice skates by the number of stores.

    Given:
    - Total pairs of ice skates = 6806
    - Number of stores = 82

    We perform the division:

    \[ \frac{6806}{82} \]

    First, let's set up the division:

    \[ 6806 \div 82 \]

    1. 82 goes into 6806 approximately 82 times. Let's calculate it step by step.

    2. 82 goes into 680 (the first three digits of 6806) approximately 8 times (since \( 82 \times 8 = 656 \)).

    3. Subtract 656 from 680:

    \[ 680 - 656 = 24 \]

    4. Bring down the next digit, which is 6, making it 246.

    5. 82 goes into 246 approximately 3 times (since \( 82 \times 3 = 246 \)).

    6. Subtract 246 from 246:

    \[ 246 - 246 = 0 \]

    So, the division is exact, and each store receives:

    \[ 6806 \div 82 = 83 \]

    ### Answer: 83

Expected answer: 83

Correct? Yes

🔗 Follow-up

Problem: A sports store received a huge shipment of 6806 pairs of ice skates. After reconsideration, they decided to distribute the skates over 61 stores instead of the original 82. How many pairs of ice skates does each store receive now?

Gemma 2B:

    To determine how many pairs of ice skates each store receives with the new distribution plan, we need to divide the total number of pairs of ice skates by the new number of stores.

    Given:
    - Total pairs of ice skates = 6806
    - Number of stores = 61

    We perform the division:

    \[ \frac{6806}{61} \]

    First, let's set up the division:

    \[ 6806 \div 61 \]

    1. 61 goes into 680 (the first three digits of 6806) approximately 11 times (since \( 61 \times 11 = 671 \)).

    2. Subtract 671 from 680:

    \[ 680 - 671 = 9 \]

    3. Bring down the next digit, which is 6, making it 96.

    4. 61 goes into 96 approximately 1 time (since \( 61 \times 1 = 61 \)).

    5. Subtract 61 from 96:

    \[ 96 - 61 = 35 \]

    So, the division is:

    \[ 6806 \div 61 = 111 \text{ remainder } 35 \]

    Since we are looking for the number of pairs each store receives, we consider only the quotient:

    ### Answer: 111

Expected answer: 6806/61

Correct? No

🔗 Problem

Problem: If a stationery store has 40 white erasers and 74 pink erasers, how many erasers are there in total?

Gemma 2B:

    To find the total number of erasers, we need to add the number of white erasers to the number of pink erasers.

    Number of white erasers = 40
    Number of pink erasers = 74

    Total number of erasers = 40 + 74

    Calculating the sum:
    40 + 74 = 114

    ### Answer: 114

Expected answer: 114

Correct? Yes

🔗 Follow-up

Problem: Suppose instead that the stationery store had 40 white erasers and 37 pink erasers initially. How many erasers would be there in total in that case?

Gemma 2B:

    To find the total number of erasers, we need to add the number of white erasers to the number of pink erasers.

    Number of white erasers = 40
    Number of pink erasers = 37

    Total number of erasers = 40 + 37

    Calculating the sum:
    40 + 37 = 77

    ### Answer: 77

Expected answer: 77

Correct? Yes

🔗 Problem

Problem: A company manufactures a batch of pens, with each batch containing 39 pens. If the company has produced 10 such batches, how many pens does the company have now?

Gemma 2B:

    To determine the total number of pens the company has produced, we need to multiply the number of pens in each batch by the number of batches produced.

    Each batch contains 39 pens, and the company has produced 10 batches. Therefore, we calculate:

    \[ 39 \text{ pens/batch} \times 10 \text{ batches} = 390 \text{ pens} \]

    ### Answer: 390

Expected answer: 390

Correct? Yes

🔗 Follow-up

Problem: The company found an error in their manufacturing record and realized they actually produced 43 batches of pens, not 10. Each batch still contained 39 pens. How many pens did the company actually produce?

Gemma 2B:

    To find the total number of pens produced, we need to multiply the number of pens in each batch by the corrected number of batches.

    Each batch contains 39 pens, and the company actually produced 43 batches. Therefore, we calculate:

    \[ 39 \text{ pens/batch} \times 43 \text{ batches} \]

    First, we can break this multiplication into simpler parts:

    \[ 39 \times 43 = 39 \times (40 + 3) \]
    \[ = 39 \times 40 + 39 \times 3 \]
    \[ = 1560 + 117 \]
    \[ = 1677 \]

    So, the company actually produced 1677 pens.

    ### Answer: 1677

Expected answer: 1677

Correct? Yes

🔗 Problem

Problem: A dairy farm has 33 cows. Each cow gives (99 + 58) litres of milk per day. How many litres of milk does the farm produce in a day?

Gemma 2B:

    First, we need to determine how much milk each cow gives per day.

    \[ 99 + 58 = 157 \]

    So, each cow gives 157 litres of milk per day.

    Next, we calculate the total amount of milk produced by all 33 cows in a day:

    \[ 33 \times 157 \]

    To simplify the multiplication, we can break it down:

    \[ 33 \times 157 = 33 \times (100 + 57) = 33 \times 100 + 33 \times 57 \]

    Now, calculate each part separately:

    \[ 33 \times 100 = 3300 \]

    For \( 33 \times 57 \), we can use the distributive property again:

    \[ 33 \times 57 = 33 \times (50 + 7) = 33 \times 50 + 33 \times 7 \]

    \[ 33 \times 50 = 1650 \]

    \[ 33 \times 7 = 231 \]

    Adding these together:

    \[ 1650 + 231 = 1881 \]

    Now, add the two main parts:

    \[ 3300 + 1881 = 5181 \]

    Thus, the farm produces 5181 litres of milk in a day.

    ### Answer: 5181 litres

Expected answer: 5181

Correct? Yes

🔗 Follow-up

Problem: Suppose that instead of each cow producing (99 + 58) litres of milk per day as previously stated, they actually produce only (5 + 58) litres of milk daily. How many litres of milk would the farm produce from cows in this case?

Gemma 2B:

    First, we need to determine how much milk each cow gives per day with the new amount:

    \[ 5 + 58 = 63 \]

    So, each cow gives 63 litres of milk per day.

    Next, we calculate the total amount of milk produced by all 33 cows in a day:

    \[ 33 \times 63 \]

    To simplify the multiplication, we can break it down:

    \[ 33 \times 63 = 33 \times (60 + 3) = 33 \times 60 + 33 \times 3 \]

    Now, calculate each part separately:

    \[ 33 \times 60 = 1980 \]

    \[ 33 \times 3 = 99 \]

    Adding these together:

    \[ 1980 + 99 = 2079 \]

    Thus, the farm produces 2079 litres of milk in a day with the new amount.

    ### Answer: 2079 litres

Expected answer: 2079

Correct? Yes

🔗 Problem

Problem: A farmer's grape vine produces 3344 grapes, and he has 38 equally productive grape vines. How many grapes does each vine produce?

Gemma 2B:

    To find out how many grapes each vine produces, we need to divide the total number of grapes by the number of vines.

    Given:
    - Total number of grapes = 3344
    - Number of grape vines = 38

    We perform the division:

    \[ \frac{3344}{38} \]

    First, let's do the division step-by-step:

    1. 3344 divided by 38.
    2. 3344 ÷ 38 = 88

    So, each grape vine produces 88 grapes.

    ### Answer: 88

Expected answer: 88

Correct? Yes

🔗 Follow-up

Problem: In the original scenario, a grape vine produces 3344 grapes and the farmer has 38 equally productive grape vines. Now consider a new situation. Let's say the farmer had 75 equally productive vines instead of 38. How many grapes would each vine have produced now?

Gemma 2B:

    To determine how many grapes each vine would produce if the farmer had 75 equally productive vines, we need to divide the total number of grapes by the new number of vines.

    Given:
    - Total number of grapes = 3344
    - Number of grape vines = 75

    We perform the division:

    \[ \frac{3344}{75} \]

    First, let's do the division step-by-step:

    1. 3344 divided by 75.
    2. 3344 ÷ 75 ≈ 44.5867

    Since we typically round to the nearest whole number when dealing with discrete items like grapes, we round 44.5867 to 45.

    So, each grape vine would produce approximately 45 grapes.

    ### Answer: 45

Expected answer: 3344/75

Correct? No

🔗 Problem

Problem: Yesterday, a region experienced a heavy snowfall of 93 cm and today it received additional 29 cm of snow. However, 20 cm of snow has melted. How much snow is now left?

Gemma 2B:

    To determine the amount of snow left, we need to add the snowfall from yesterday and today, and then subtract the amount that has melted.

    1. Snowfall from yesterday: 93 cm
    2. Snowfall from today: 29 cm
    3. Total snowfall: \( 93 \, \text{cm} + 29 \, \text{cm} = 122 \, \text{cm} \)

    Next, we subtract the amount of snow that has melted:

    4. Snow melted: 20 cm
    5. Snow left: \( 122 \, \text{cm} - 20 \, \text{cm} = 102 \, \text{cm} \)

    ### Answer: 102 cm

Expected answer: 102

Correct? Yes

🔗 Follow-up

Problem: Considering the previous problem, suppose the region experienced a heavier snowfall of 90 cm (instead of 29 cm) today, while the 20 cm melt remained the same. How might this change the amount of snow now left?

Gemma 2B:

    To determine the new amount of snow left, we need to update the snowfall from today and then follow the same steps as before.

    1. Snowfall from yesterday: 93 cm
    2. Updated snowfall from today: 90 cm
    3. Total updated snowfall: \( 93 \, \text{cm} + 90 \, \text{cm} = 183 \, \text{cm} \)

    Next, we subtract the amount of snow that has melted:

    4. Snow melted: 20 cm
    5. Snow left: \( 183 \, \text{cm} - 20 \, \text{cm} = 163 \, \text{cm} \)

    ### Answer: 163 cm

Expected answer: 163

Correct? Yes

🔗 Problem

Problem: A farmer has 3069 grapes. If he decides to put 33 grapes in each bag, he will have a certain number of bags. However, the farmer eats 13 bags of grapes and also gives away 50 bags of grapes. How many bags of grapes does the farmer have left?

Gemma 2B:

    First, we need to determine how many bags of grapes the farmer initially has. The farmer has 3069 grapes and puts 33 grapes in each bag. We can find the number of bags by dividing the total number of grapes by the number of grapes per bag:

    \[
    \text{Number of bags} = \frac{3069}{33}
    \]

    Performing the division:

    \[
    \frac{3069}{33} = 93
    \]

    So, the farmer initially has 93 bags of grapes.

    Next, the farmer eats 13 bags of grapes and gives away 50 bags of grapes. We need to subtract these from the initial number of bags:

    \[
    \text{Bags left} = 93 - 13 - 50
    \]

    Calculating the above:

    \[
    93 - 13 = 80
    \]
    \[
    80 - 50 = 30
    \]

    Therefore, the farmer has 30 bags of grapes left.

    ### Answer: 30

Expected answer: 30

Correct? Yes

🔗 Follow-up

Problem: Following the previous scenario, suppose the farmer decides to change his approach and now puts 25 grapes in each bag instead of 33. He again eats 13 bags and gives away 50 bags. How many bags of grapes does the farmer have now?

Gemma 2B:

    First, we need to determine how many bags of grapes the farmer initially has when he puts 25 grapes in each bag. The farmer has 3069 grapes and puts 25 grapes in each bag. We can find the number of bags by dividing the total number of grapes by the number of grapes per bag:

    \[
    \text{Number of bags} = \frac{3069}{25}
    \]

    Performing the division:

    \[
    \frac{3069}{25} = 122.76
    \]

    Since the number of bags must be a whole number, we take the integer part, which is 122 bags (and there will be some grapes left over, but they do not form a complete bag).

    Next, the farmer eats 13 bags of grapes and gives away 50 bags of grapes. We need to subtract these from the initial number of bags:

    \[
    \text{Bags left} = 122 - 13 - 50
    \]

    Calculating the above:

    \[
    122 - 13 = 109
    \]
    \[
    109 - 50 = 59
    \]

    Therefore, the farmer has 59 bags of grapes left.

    ### Answer: 59

Expected answer: 1494/25

Correct? No

🔗 Problem

Problem: A giraffe's neck has a length of 275 centimeters. If one meter is made up of 5 centimeters, what is the length of the giraffe's neck in meters?

Gemma 2B:

    To convert the length of the giraffe's neck from centimeters to meters, we need to know the correct conversion factor. One meter is actually made up of 100 centimeters, not 5 centimeters.

    Given:
    - Length of the giraffe's neck = 275 centimeters
    - Conversion factor: 1 meter = 100 centimeters

    We can convert the length by dividing the number of centimeters by the number of centimeters per meter:

    \[ \text{Length in meters} = \frac{\text{Length in centimeters}}{\text{Centimeters per meter}} \]

    \[ \text{Length in meters} = \frac{275 \text{ cm}}{100 \text{ cm/m}} \]

    \[ \text{Length in meters} = 2.75 \text{ m} \]

    ### Answer: 2.75 meters

Expected answer: 55

Correct? No

🔗 Problem

Problem: A furniture store had 79 chairs in stock. They received a shipment adding 9 more chairs, but then sold 45 chairs in a single day. How many chairs are now in the store?

Gemma 2B:

    First, let's determine the total number of chairs after the shipment was received. The store initially had 79 chairs and received 9 more chairs:

    \[ 79 + 9 = 88 \]

    Next, we need to subtract the number of chairs sold in a single day from the total number of chairs in stock:

    \[ 88 - 45 = 43 \]

    Therefore, the number of chairs now in the store is 43.

    ### Answer: 43

Expected answer: 43

Correct? Yes

🔗 Follow-up

Problem: Following from the previous scenario, consider instead that the furniture store originally had 79 chairs, but this time, they only received a shipment adding 4 more chairs before selling 45 chairs in a single day. How many chairs are now in the store under this altered situation?

Gemma 2B:

    First, let's determine the total number of chairs after the shipment was received. The store initially had 79 chairs and received 4 more chairs:

    \[ 79 + 4 = 83 \]

    Next, we need to subtract the number of chairs sold in a single day from the total number of chairs in stock:

    \[ 83 - 45 = 38 \]

    Therefore, the number of chairs now in the store is 38.

    ### Answer: 38

Expected answer: 38

Correct? Yes

🔗 Problem

Problem: A teddy bear factory can usually produce 91 teddy bears per day. However, today their capacity increased by 1 due to new equipment. A charity has also just donated materials to produce 15 additional teddy bears. How many total teddy bears can the factory produce today?

Gemma 2B:

    First, we need to determine the new daily production capacity of the factory due to the new equipment. The factory's usual production is 91 teddy bears per day, and the new equipment increases this capacity by 1 teddy bear.

    \[ 91 + 1 = 92 \]

    Next, we add the 15 additional teddy bears that can be produced today due to the charity's donation of materials.

    \[ 92 + 15 = 107 \]

    Therefore, the total number of teddy bears the factory can produce today is 107.

    ### Answer: 107

Expected answer: 107

Correct? Yes

🔗 Problem

Problem: A giraffe needs 67 leaves to eat at breakfast and 33 more in the afternoon. How many leaves does the giraffe need for a single day?

Gemma 2B:

    To find out how many leaves the giraffe needs for a single day, we need to add the number of leaves it eats at breakfast and in the afternoon.

    The giraffe eats 67 leaves at breakfast and 33 leaves in the afternoon.

    So, we calculate:
    \[ 67 + 33 = 100 \]

    ### Answer: 100

Expected answer: 100

Correct? Yes

🔗 Problem

Problem: If you can drive 304 miles on a tank of gas and the tank is divided into 4 equal parts, how many miles can you drive on one part of the tank?

Gemma 2B:

    To determine how many miles you can drive on one part of the tank, we need to divide the total number of miles by the number of parts the tank is divided into.

    Given:
    - Total miles on a full tank = 304 miles
    - Number of parts the tank is divided into = 4

    We perform the division:
    \[ \frac{304 \text{ miles}}{4} = 76 \text{ miles} \]

    So, you can drive 76 miles on one part of the tank.

    ### Answer: 76 miles

Expected answer: 76

Correct? Yes

🔗 Follow-up

Problem: If you can drive 304 miles on a full tank of gas which is divided into 4 equal parts, you've found that you can drive a certain distance on one part of the tank. If you refill this part of the tank 47 times, how many miles in total could you potentially drive?

Gemma 2B:

    We have already determined that you can drive 76 miles on one part of the tank.

    If you refill this part of the tank 47 times, we need to calculate the total distance you can drive by multiplying the distance you can drive on one part of the tank by the number of refills.

    Given:
    - Distance on one part of the tank = 76 miles
    - Number of refills = 47

    We perform the multiplication:
    \[ 76 \text{ miles} \times 47 = 3572 \text{ miles} \]

    So, if you refill one part of the tank 47 times, you could potentially drive 3572 miles.

    ### Answer: 3572 miles

Expected answer: 3572

Correct? Yes

🔗 Follow-up

Problem: If instead of a tank which can hold enough gas to drive 304 miles, you have a smaller tank which holds enough gas to drive 304 miles, and you divide the tank into 91 equal parts, how many miles can you drive on one part of the tank?

Gemma 2B:

    To determine how many miles you can drive on one part of the tank, we need to divide the total number of miles by the number of parts the tank is divided into.

    Given:
    - Total miles on a full tank = 304 miles
    - Number of parts the tank is divided into = 91

    We perform the division:
    \[ \frac{304 \text{ miles}}{91} \approx 3.34 \text{ miles} \]

    So, you can drive approximately 3.34 miles on one part of the tank.

    ### Answer: 3.34 miles

Expected answer: 304/91

Correct? No

🔗 Problem

Problem: A shop sells ice skates at 25 dollars a pair. They are having a sale where all ice skates are increased by 8 dollars. How much would a pair of ice skates cost during the sale?

Gemma 2B:

    To determine the cost of a pair of ice skates during the sale, we need to add the increase in price to the original price.

    The original price of a pair of ice skates is $25.
    The increase in price during the sale is $8.

    So, the new price during the sale is:
    \[ 25 + 8 = 33 \]

    ### Answer: $33

Expected answer: 33

Correct? Yes

🔗 Follow-up

Problem: In the previous scenario, the shop sells ice skates at 25 dollars a pair on sale. After the increase, a pair of ice skates is priced at 33 dollars. If a customer only has 70 dollars, how much money will they have left after buying a pair of ice skates during the sale?

Gemma 2B:

    To determine how much money the customer will have left after buying a pair of ice skates during the sale, we need to subtract the cost of the ice skates from the amount of money the customer has.

    The customer has $70.
    The cost of a pair of ice skates during the sale is $33.

    So, the amount of money left after the purchase is:
    \[ 70 - 33 = 37 \]

    ### Answer: $37

Expected answer: 37

Correct? Yes

🔗 Follow-up

Problem: In the previous scenario, the price of ice skates was 25 dollars a pair before the price increase. Now, consider a scenario where the original price of the ice skates was 79 dollars a pair instead of 25 dollars. If the price was increased by the same amount, 8 dollars, how much would a pair of ice skates cost now?

Gemma 2B:

    To determine the new cost of a pair of ice skates after the price increase, we need to add the increase in price to the original price.

    The original price of a pair of ice skates is $79.
    The increase in price is $8.

    So, the new price is:
    \[ 79 + 8 = 87 \]

    ### Answer: $87

Expected answer: 87

Correct? Yes

🔗 Problem

Problem: A river flows at a speed of 96 miles per day. How far would it have travelled in 31 days?

Gemma 2B:

    To determine how far the river would have traveled in 31 days, we need to multiply the speed of the river by the number of days.

    Given:
    - Speed of the river = 96 miles per day
    - Number of days = 31

    We calculate the distance traveled as follows:
    \[ \text{Distance} = \text{Speed} \times \text{Time} \]
    \[ \text{Distance} = 96 \, \text{miles/day} \times 31 \, \text{days} \]
    \[ \text{Distance} = 2976 \, \text{miles} \]

    ### Answer: 2976 miles

Expected answer: 2976

Correct? Yes

🔗 Follow-up

Problem: Continuing from the previous problem, if the river also carried a piece of debris that got an additional 94 miles downstream due to the wind in those 31 days, how far would the piece of debris have traveled in total?

Gemma 2B:

    To determine the total distance the piece of debris traveled, we need to add the distance traveled by the river to the additional distance carried by the wind.

    From the previous problem, we know:
    - Distance traveled by the river in 31 days = 2976 miles

    Additional distance carried by the wind:
    - Additional distance = 94 miles

    We calculate the total distance as follows:
    \[ \text{Total Distance} = \text{Distance by River} + \text{Additional Distance by Wind} \]
    \[ \text{Total Distance} = 2976 \, \text{miles} + 94 \, \text{miles} \]
    \[ \text{Total Distance} = 3070 \, \text{miles} \]

    ### Answer: 3070 miles

Expected answer: 3070

Correct? Yes

🔗 Follow-up

Problem: Continuing from the previous problem, suppose the river flow was less than initially thought. Rather than flowing at a speed of 96 miles per day, it actually flows at a speed of 12 miles per day. How far would the river have traveled in 31 days at this slower speed?

Gemma 2B:

    To determine how far the river would have traveled in 31 days at the slower speed, we need to multiply the new speed of the river by the number of days.

    Given:
    - New speed of the river = 12 miles per day
    - Number of days = 31

    We calculate the distance traveled as follows:
    \[ \text{Distance} = \text{Speed} \times \text{Time} \]
    \[ \text{Distance} = 12 \, \text{miles/day} \times 31 \, \text{days} \]
    \[ \text{Distance} = 372 \, \text{miles} \]

    ### Answer: 372 miles

Expected answer: 372

Correct? Yes

🔗 Problem

Problem: A manufacturer produces 46 blankets each day. After 43 days, an additional 42 blankets were donated to the manufacturer. How many blankets does the manufacturer now have in total?

Gemma 2B:

    To determine the total number of blankets the manufacturer now has, we need to calculate the number of blankets produced over 43 days and then add the 42 donated blankets.

    First, calculate the number of blankets produced in 43 days:
    \[ 46 \text{ blankets/day} \times 43 \text{ days} = 1978 \text{ blankets} \]

    Next, add the 42 donated blankets to the total produced:
    \[ 1978 \text{ blankets} + 42 \text{ blankets} = 2020 \text{ blankets} \]

    ### Answer: 2020

Expected answer: 2020

Correct? Yes

🔗 Problem

Problem: A particular star emits light at a velocity of 1095 miles per second. If this velocity were divided by 73, what would be the resulting speed of the light emitted by the star?

Gemma 2B:

    To find the resulting speed of the light emitted by the star when its velocity is divided by 73, we need to perform the division:

    \[ \text{Velocity} = \frac{1095 \text{ miles/second}}{73} \]

    First, we perform the division:

    \[ 1095 \div 73 = 15 \]

    So, the resulting speed of the light emitted by the star is 15 miles per second.

    ### Answer: 15 miles per second

Expected answer: 15

Correct? Yes

🔗 Follow-up

Problem: Following our previous scenario, let's consider that instead of dividing by 73, the velocity of the star's light was divided by 42. What would be the resulting speed of the light emitted by the star, given this new calculation?

Gemma 2B:

    To find the resulting speed of the light emitted by the star when its velocity is divided by 42, we need to perform the division:

    \[ \text{Velocity} = \frac{1095 \text{ miles/second}}{42} \]

    First, we perform the division:

    \[ 1095 \div 42 \]

    To simplify this, we can use long division:

    1. 42 goes into 109 twice (since \(42 \times 2 = 84\)).
    2. Subtract 84 from 109 to get 25.
    3. Bring down the next digit (5), making it 255.
    4. 42 goes into 255 six times (since \(42 \times 6 = 252\)).
    5. Subtract 252 from 255 to get 3.

    So, the division results in:

    \[ 1095 \div 42 = 26 \text{ R } 3 \]

    Since we are looking for the resulting speed, we consider the quotient:

    ### Answer: 26 miles per second

Expected answer: 365/14

Correct? No

🔗 Problem

Problem: A lemon tree produces 99 lemons every year. After 51 years, a massive wind storm passes through the area and removes 84 lemons from the total number of lemons the tree produced. How many lemons did the lemon tree produce after the wind storm?

Gemma 2B:

    First, we need to calculate the total number of lemons produced by the lemon tree over 51 years.

    The tree produces 99 lemons each year, so over 51 years, the total number of lemons produced is:
    \[ 99 \text{ lemons/year} \times 51 \text{ years} = 5049 \text{ lemons} \]

    Next, we need to account for the 84 lemons removed by the wind storm. We subtract these 84 lemons from the total number of lemons produced:
    \[ 5049 \text{ lemons} - 84 \text{ lemons} = 4965 \text{ lemons} \]

    ### Answer: 4965

Expected answer: 4965

Correct? Yes

🔗 Follow-up

Problem: After 40 years instead of 51, a massive wind storm passes through the area removing 84 lemons from the total number of lemons the tree produced. Given this earlier timing of the wind storm, how many lemons did the lemon tree produce after the wind storm?

Gemma 2B:

    First, we need to calculate the total number of lemons produced by the lemon tree over 40 years.

    The tree produces 99 lemons each year, so over 40 years, the total number of lemons produced is:
    \[ 99 \text{ lemons/year} \times 40 \text{ years} = 3960 \text{ lemons} \]

    Next, we need to account for the 84 lemons removed by the wind storm. We subtract these 84 lemons from the total number of lemons produced:
    \[ 3960 \text{ lemons} - 84 \text{ lemons} = 3876 \text{ lemons} \]

    ### Answer: 3876

Expected answer: 3876

Correct? Yes

🔗 Problem

Problem: John had 4 packs of building blocks and each pack contains 89 blocks. After losing 72 blocks while playing, how many blocks does John have now?

Gemma 2B:

    First, we need to determine the total number of building blocks John initially had. Since each pack contains 89 blocks and John had 4 packs, we calculate:

    \[ 4 \times 89 = 356 \]

    Next, we account for the 72 blocks that John lost. We subtract the lost blocks from the initial total:

    \[ 356 - 72 = 284 \]

    Therefore, John now has 284 building blocks.

    ### Answer: 284

Expected answer: 284

Correct? Yes

🔗 Follow-up

Problem: Instead of the initial 89 blocks in each pack, John found out that 41 blocks were in each of his 4 packs. After losing 72 blocks, how many blocks does John have now?

Gemma 2B:

    First, we need to determine the total number of building blocks John initially had. Since each pack contains 41 blocks and John had 4 packs, we calculate:

    \[ 4 \times 41 = 164 \]

    Next, we account for the 72 blocks that John lost. We subtract the lost blocks from the initial total:

    \[ 164 - 72 = 92 \]

    Therefore, John now has 92 building blocks.

    ### Answer: 92

Expected answer: 92

Correct? Yes

🔗 Problem

Problem: On a particular beach, 5544 seashells are evenly distributed across 72 meters of sand. How many seashells are there on average for every meter of the beach?

Gemma 2B:

    To find the average number of seashells per meter, we need to divide the total number of seashells by the total number of meters.

    Given:
    - Total number of seashells = 5544
    - Total number of meters = 72

    We perform the division:

    \[ \frac{5544}{72} \]

    First, let's simplify the division step-by-step:

    1. Divide 5544 by 72:
    \[ 5544 \div 72 = 77 \]

    So, there are 77 seashells on average for every meter of the beach.

    ### Answer: 77

Expected answer: 77

Correct? Yes

🔗 Follow-up

Problem: In a revised count, it was discovered that the seashells were actually spread over 92 meters of the beach instead of 72 meters as previously thought. Now, how many seashells are there on average for each meter of the beach?

Gemma 2B:

    To find the new average number of seashells per meter, we need to divide the total number of seashells by the revised total number of meters.

    Given:
    - Total number of seashells = 5544
    - Revised total number of meters = 92

    We perform the division:

    \[ \frac{5544}{92} \]

    First, let's simplify the division step-by-step:

    1. Divide 5544 by 92:
    \[ 5544 \div 92 = 60.26 \]

    So, there are approximately 60.26 seashells on average for every meter of the beach.

    ### Answer: 60.26

Expected answer: 1386/23

Correct? No

🔗 Problem

Problem: There are 82 animals in the zoo. If 67 animals are birds, how many animals in the zoo are not birds?

Gemma 2B:

    To determine how many animals in the zoo are not birds, we need to subtract the number of birds from the total number of animals.

    Total number of animals in the zoo: 82
    Number of birds in the zoo: 67

    Number of animals that are not birds = Total number of animals - Number of birds
    = 82 - 67
    = 15

    ### Answer: 15

Expected answer: 15

Correct? Yes

🔗 Follow-up

Problem: In a revision to the previous count, it turns out there were only 38 birds instead of 67 at the zoo originally. Given this, how many animals in the zoo were not birds?

Gemma 2B:

    To determine the number of animals in the zoo that are not birds, we need to subtract the revised number of birds from the total number of animals.

    Total number of animals in the zoo: 82
    Revised number of birds in the zoo: 38

    Number of animals that are not birds = Total number of animals - Number of birds
    = 82 - 38
    = 44

    ### Answer: 44

Expected answer: 44

Correct? Yes

🔗 Problem

Problem: A construction company builds 36 houses every month. If they kept this pace up for 46 months, how many houses would they have built over this time?

Gemma 2B:

    To determine the total number of houses built by the construction company over 46 months, we need to multiply the number of houses built per month by the number of months.

    Given:
    - Number of houses built per month = 36
    - Number of months = 46

    We calculate the total number of houses as follows:
    \[ \text{Total houses} = 36 \times 46 \]

    First, we can break down the multiplication for easier calculation:
    \[ 36 \times 46 = 36 \times (40 + 6) \]
    \[ = 36 \times 40 + 36 \times 6 \]

    Now, calculate each part:
    \[ 36 \times 40 = 1440 \]
    \[ 36 \times 6 = 216 \]

    Add these two results together:
    \[ 1440 + 216 = 1656 \]

    Therefore, the total number of houses built over 46 months is:
    ### Answer: 1656

Expected answer: 1656

Correct? Yes

🔗 Follow-up

Problem: In the same construction company's new plan, instead of building 36 houses they are planning to build 75 houses a month. If they managed to keep up this pace for the same period of 46 months, how many houses would they have built in total with this increased productivity?

Gemma 2B:

    To determine the total number of houses built by the construction company over 46 months with the new plan of building 75 houses per month, we need to multiply the number of houses built per month by the number of months.

    Given:
    - Number of houses built per month = 75
    - Number of months = 46

    We calculate the total number of houses as follows:
    \[ \text{Total houses} = 75 \times 46 \]

    First, we can break down the multiplication for easier calculation:
    \[ 75 \times 46 = 75 \times (40 + 6) \]
    \[ = 75 \times 40 + 75 \times 6 \]

    Now, calculate each part:
    \[ 75 \times 40 = 3000 \]
    \[ 75 \times 6 = 450 \]

    Add these two results together:
    \[ 3000 + 450 = 3450 \]

    Therefore, the total number of houses built over 46 months with the increased productivity is:
    ### Answer: 3450

Expected answer: 3450

Correct? Yes

🔗 Problem

Problem: A window factory has a goal to produce 1767 windows within a month. If the factory operates 31 days a month, how many windows does it need to produce each day to meet its goal?

Gemma 2B:

    To determine how many windows the factory needs to produce each day to meet its goal, we divide the total number of windows by the number of days in the month.

    Given:
    - Total windows to produce in a month: 1767
    - Number of days in the month: 31

    We perform the division:

    \[ \frac{1767}{31} \]

    First, let's do the division step-by-step:

    1. 1767 divided by 31.
    2. 31 goes into 176 five times (since \( 31 \times 5 = 155 \)).
    3. Subtract 155 from 176 to get 21.
    4. Bring down the next digit (7), making it 217.
    5. 31 goes into 217 seven times (since \( 31 \times 7 = 217 \)).

    So, the division is exact:

    \[ 1767 \div 31 = 57 \]

    Therefore, the factory needs to produce 57 windows each day to meet its goal.

    ### Answer: 57

Expected answer: 57

Correct? Yes

🔗 Follow-up

Problem: Continuing from the previous situation, suppose the factory decided to cut down its monthly goal and now aims to produce only 50 windows in a month. Based on this new target, how many windows does the factory need to produce each day if it still operates for 31 days in a month?

Gemma 2B:

    To determine how many windows the factory needs to produce each day based on the new target, we divide the new total number of windows by the number of days in the month.

    Given:
    - New total windows to produce in a month: 50
    - Number of days in the month: 31

    We perform the division:

    \[ \frac{50}{31} \]

    First, let's do the division step-by-step:

    1. 50 divided by 31.
    2. 31 goes into 50 one time (since \( 31 \times 1 = 31 \)).
    3. Subtract 31 from 50 to get 19.

    So, the division is:

    \[ 50 \div 31 \approx 1.6129 \]

    Therefore, the factory needs to produce approximately 1.6129 windows each day to meet its new goal. Since the factory cannot produce a fraction of a window, it would need to produce either 1 or 2 windows per day, depending on how they manage the production schedule.

    ### Answer: 1.6129

Expected answer: 50/31

Correct? No

🔗 Problem

Problem: A TV series has just been renewed for its third season. The 1st season had 66 episodes, the 2nd season had 67 episodes, and now 8 episodes of the 3rd season have been aired. How many episodes have aired in total?

Gemma 2B:

    To find the total number of episodes that have aired, we need to sum the episodes from all three seasons.

    1. The 1st season had 66 episodes.
    2. The 2nd season had 67 episodes.
    3. The 3rd season has aired 8 episodes so far.

    We add these numbers together:

    \[ 66 + 67 + 8 \]

    First, add the episodes from the 1st and 2nd seasons:

    \[ 66 + 67 = 133 \]

    Next, add the episodes from the 3rd season:

    \[ 133 + 8 = 141 \]

    So, the total number of episodes that have aired is 141.

    ### Answer: 141

Expected answer: 141

Correct? Yes

🔗 Follow-up

Problem: After the 8 episodes of the 3rd season were aired, the TV series continued to air more episodes. In the remaining part of the 3rd season, they aired 80 episodes. They have also just finished airing all the 82 episodes of the 4th season. How many episodes have aired in total now?

Gemma 2B:

    To find the total number of episodes that have aired, we need to sum the episodes from all four seasons, including the additional episodes from the 3rd season.

    1. The 1st season had 66 episodes.
    2. The 2nd season had 67 episodes.
    3. The 3rd season initially aired 8 episodes, and then aired 80 more episodes, making a total of \( 8 + 80 = 88 \) episodes for the 3rd season.
    4. The 4th season had 82 episodes.

    Now, we add these numbers together:

    \[ 66 + 67 + 88 + 82 \]

    First, add the episodes from the 1st and 2nd seasons:

    \[ 66 + 67 = 133 \]

    Next, add the episodes from the 3rd season:

    \[ 133 + 88 = 221 \]

    Finally, add the episodes from the 4th season:

    \[ 221 + 82 = 303 \]

    So, the total number of episodes that have aired is 303.

    ### Answer: 303

Expected answer: 303

Correct? Yes

🔗 Follow-up

Problem: Let's imagine that in the first two seasons of the TV series there were fewer episodes than we initially thought. The 1st season had 66 episodes and the second season only had 8. After 8 more episodes of the 3rd season aired, how many total episodes have aired so far?

Gemma 2B:

    To find the total number of episodes that have aired, we need to sum the episodes from all three seasons with the updated information.

    1. The 1st season had 66 episodes.
    2. The 2nd season had 8 episodes.
    3. The 3rd season has aired 8 episodes so far.

    We add these numbers together:

    \[ 66 + 8 + 8 \]

    First, add the episodes from the 1st and 2nd seasons:

    \[ 66 + 8 = 74 \]

    Next, add the episodes from the 3rd season:

    \[ 74 + 8 = 82 \]

    So, the total number of episodes that have aired is 82.

    ### Answer: 82

Expected answer: 82

Correct? Yes

🔗 Problem

Problem: At the end of a rainbow, a leprechaun is guarding a pot of gold coins. He adds 39 gold coins to the pot, then another 47. However, while he is distracted, a fairy takes away 8 gold coins from the pot. The new total of coins becomes a code to a magical lock. The code must be enhanced by adding 48 to it only once, and then multiplied by 24. What is the final value to unlock the magical lock?

Gemma 2B:

    Let's break down the problem step by step:

    1. The leprechaun adds 39 gold coins to the pot.
    2. Then, he adds another 47 gold coins.

    First, we calculate the total number of coins added by the leprechaun:
    \[ 39 + 47 = 86 \]

    3. A fairy takes away 8 gold coins from the pot.

    We subtract the coins taken by the fairy from the total:
    \[ 86 - 8 = 78 \]

    4. The new total of coins (78) becomes a code to a magical lock. This code must be enhanced by adding 48 to it only once.

    We add 48 to the code:
    \[ 78 + 48 = 126 \]

    5. Finally, the enhanced code is multiplied by 24.

    We perform the multiplication:
    \[ 126 \times 24 = 3024 \]

    Thus, the final value to unlock the magical lock is:
    ### Answer: 3024

Expected answer: 3024

Correct? Yes

🔗 Follow-up

Problem: The leprechaun realizes that there was a mistake in the first part of his magical lock code. Instead of multiplying the initial set of gold coin count by 24 after adding 48, he should have multiplied it by 29. Given this new information, what should be the correct initial value to unlock the magical lock?

Gemma 2B:

    Let's revisit the problem with the new information:

    1. The leprechaun adds 39 gold coins to the pot.
    2. Then, he adds another 47 gold coins.

    First, we calculate the total number of coins added by the leprechaun:
    \[ 39 + 47 = 86 \]

    3. A fairy takes away 8 gold coins from the pot.

    We subtract the coins taken by the fairy from the total:
    \[ 86 - 8 = 78 \]

    4. The new total of coins (78) becomes a code to a magical lock. This code must be enhanced by adding 48 to it only once.

    We add 48 to the code:
    \[ 78 + 48 = 126 \]

    5. According to the new information, the enhanced code should be multiplied by 29 instead of 24.

    We perform the multiplication:
    \[ 126 \times 29 = 3654 \]

    Thus, the correct initial value to unlock the magical lock is:
    ### Answer: 3654

Expected answer: 3654

Correct? Yes

🔗 Problem

Problem: John has 98 dollars in his wallet. He found a 35-dollar bill on the ground and added it to his wallet. However, he then spent 38 dollars on lunch. How much money does he have left in his wallet now?

Gemma 2B:

    First, let's determine how much money John has after finding the 35-dollar bill. He initially has 98 dollars, and he finds an additional 35 dollars:

    \[ 98 + 35 = 133 \]

    Next, John spends 38 dollars on lunch. We subtract this amount from the total he has after finding the money:

    \[ 133 - 38 = 95 \]

    So, John has 95 dollars left in his wallet.

    ### Answer: 95

Expected answer: 95

Correct? Yes

🔗 Follow-up

Problem: Following the previous scenarios, let's reconsider the scenario like this: suppose the amount that John decided to spend on lunch was not 38 dollars, but actually 68 dollars. How much money does he have left in his wallet after this change?

Gemma 2B:

    First, let's start with the amount of money John has after finding the 35-dollar bill. He initially has 98 dollars, and he finds an additional 35 dollars:

    \[ 98 + 35 = 133 \]

    Next, John spends 68 dollars on lunch. We subtract this amount from the total he has after finding the money:

    \[ 133 - 68 = 65 \]

    So, John has 65 dollars left in his wallet after spending 68 dollars on lunch.

    ### Answer: 65

Expected answer: 65

Correct? Yes

🔗 Problem

Problem: A bottling factory fills 3840 bottles every hour. How many bottles does it fill every minute?

Gemma 2B:

    To determine how many bottles the factory fills every minute, we need to divide the number of bottles filled in an hour by the number of minutes in an hour.

    1 hour = 60 minutes

    Given that the factory fills 3840 bottles every hour, we perform the following calculation:

    \[ \text{Bottles per minute} = \frac{3840 \text{ bottles}}{60 \text{ minutes}} \]

    \[ \text{Bottles per minute} = 64 \text{ bottles} \]

    ### Answer: 64 bottles

Expected answer: 64

Correct? Yes

🔗 Follow-up

Problem: In the bottling factory, an upgrade to the machines increases the manufacturing speed by 19 bottles per minute. After the upgrade, how many bottles does the factory fill every minute?

Gemma 2B:

    First, we need to determine the current rate at which the factory fills bottles per minute. From the previous calculation, we know that the factory fills 64 bottles per minute.

    With the upgrade, the manufacturing speed increases by 19 bottles per minute. Therefore, we add this increase to the current rate:

    \[ \text{New rate} = 64 \text{ bottles per minute} + 19 \text{ bottles per minute} \]

    \[ \text{New rate} = 83 \text{ bottles per minute} \]

    ### Answer: 83 bottles per minute

Expected answer: 83

Correct? Yes

🔗 Follow-up

Problem: In the bottling factory, imagine that before the upgrade, the machinery was even slower, filling bottles at a rate of 3840 bottles every 18 hours, instead of 60 minutes. How many bottles were being filled every hour in that case?

Gemma 2B:

    To determine how many bottles were being filled every hour before the upgrade, we need to divide the total number of bottles filled in 18 hours by the number of hours.

    Given that the factory filled 3840 bottles in 18 hours, we perform the following calculation:

    \[ \text{Bottles per hour} = \frac{3840 \text{ bottles}}{18 \text{ hours}} \]

    \[ \text{Bottles per hour} = 213.33 \text{ bottles} \]

    ### Answer: 213.33 bottles

Expected answer: 640/3

Correct? No

🔗 Problem

Problem: In a mystical world, a dragon has 1702 treasures in his cave. If he divides these treasures among his 37 faithful gnomes and then decides to add another 49 treasures to each one, how many treasures does each gnome now have?

Gemma 2B:

    First, we need to determine how many treasures each gnome initially receives when the dragon divides the 1702 treasures among the 37 gnomes.

    To find this, we perform the division:
    \[ \frac{1702}{37} \]

    Performing the division:
    \[ 1702 \div 37 = 46 \]

    So, each gnome initially receives 46 treasures.

    Next, the dragon decides to add another 49 treasures to each gnome. Therefore, we need to add 49 to the initial 46 treasures each gnome has:
    \[ 46 + 49 = 95 \]

    Thus, each gnome now has 95 treasures.

    ### Answer: 95

Expected answer: 95

Correct? Yes

🔗 Follow-up

Problem: In the previous scenario, imagine that instead of adding 49 treasures to each gnome's share, the dragon decided to add 79 treasures. How many treasures does each gnome now have?

Gemma 2B:

    First, we need to determine how many treasures each gnome initially receives when the dragon divides the 1702 treasures among the 37 gnomes.

    To find this, we perform the division:
    \[ \frac{1702}{37} \]

    Performing the division:
    \[ 1702 \div 37 = 46 \]

    So, each gnome initially receives 46 treasures.

    Next, the dragon decides to add another 79 treasures to each gnome. Therefore, we need to add 79 to the initial 46 treasures each gnome has:
    \[ 46 + 79 = 125 \]

    Thus, each gnome now has 125 treasures.

    ### Answer: 125

Expected answer: 125

Correct? Yes

🔗 Problem

Problem: If a frog can hop 192 inches in total and on average, hops 6 inches per single leap, how many leaps does it take for the frog to reach the end of its journey?

Gemma 2B:

    To determine the number of leaps the frog takes to cover 192 inches, we need to divide the total distance by the average distance per leap.

    Given:
    - Total distance = 192 inches
    - Distance per leap = 6 inches

    We calculate the number of leaps as follows:
    \[ \text{Number of leaps} = \frac{\text{Total distance}}{\text{Distance per leap}} \]
    \[ \text{Number of leaps} = \frac{192 \text{ inches}}{6 \text{ inches/leap}} \]
    \[ \text{Number of leaps} = 32 \]

    ### Answer: 32

Expected answer: 32

Correct? Yes

🔗 Follow-up

Problem: Continuing from the previous scenario, let's say the frog has increased its leaping ability and can now hop 83 inches in total with an average of 6 inches per leap. How many leaps does it take for the frog to complete this new journey?

Gemma 2B:

    To determine the number of leaps the frog takes to cover 83 inches, we need to divide the total distance by the average distance per leap.

    Given:
    - Total distance = 83 inches
    - Distance per leap = 6 inches

    We calculate the number of leaps as follows:
    \[ \text{Number of leaps} = \frac{\text{Total distance}}{\text{Distance per leap}} \]
    \[ \text{Number of leaps} = \frac{83 \text{ inches}}{6 \text{ inches/leap}} \]

    Performing the division:
    \[ \text{Number of leaps} = 13.8333\ldots \]

    Since the frog cannot make a fraction of a leap, we round up to the next whole number because the frog will need one additional leap to cover the remaining distance after 13 full leaps.

    ### Answer: 14

Expected answer: 83/6

Correct? No

🔗 Problem

Problem: A cheese factory produces 5865 kg of cheese evenly over 85 days. How much cheese does the factory produce each day?

Gemma 2B:

    To determine how much cheese the factory produces each day, we need to divide the total amount of cheese by the number of days.

    Given:
    - Total cheese produced = 5865 kg
    - Number of days = 85

    We perform the division:

    \[
    \frac{5865 \text{ kg}}{85 \text{ days}} = 69 \text{ kg/day}
    \]

    So, the factory produces 69 kg of cheese each day.

    ### Answer: 69 kg/day

Expected answer: 69

Correct? Yes

🔗 Follow-up

Problem: Continuing with the scenario of the cheese factory, let's say the factory now operates 31 days a month rather than 85 days, with the overall cheese production still being 5865 kg. How much cheese would now be produced each day?

Gemma 2B:

    To find out how much cheese the factory produces each day when it operates for 31 days a month, we need to divide the total amount of cheese by the new number of days.

    Given:
    - Total cheese produced = 5865 kg
    - Number of days = 31

    We perform the division:

    \[
    \frac{5865 \text{ kg}}{31 \text{ days}} = 189 \text{ kg/day}
    \]

    So, the factory would produce 189 kg of cheese each day.

    ### Answer: 189 kg/day

Expected answer: 5865/31

Correct? No

🔗 Problem

Problem: A cucumber farm yields 2592 cucumbers per 54 plants. If a section of the farm grows 38 plants, subtracting the 74 cucumbers that were damaged, how many cucumbers are available for sale?

Gemma 2B:

    First, we need to determine the yield per plant. The farm yields 2592 cucumbers from 54 plants.

    To find the yield per plant, we divide the total number of cucumbers by the number of plants:
    \[ \text{Yield per plant} = \frac{2592 \text{ cucumbers}}{54 \text{ plants}} = 48 \text{ cucumbers per plant} \]

    Next, we calculate the total yield from 38 plants:
    \[ \text{Total yield from 38 plants} = 38 \text{ plants} \times 48 \text{ cucumbers per plant} = 1824 \text{ cucumbers} \]

    We then subtract the 74 cucumbers that were damaged:
    \[ \text{Cucumbers available for sale} = 1824 \text{ cucumbers} - 74 \text{ cucumbers} = 1750 \text{ cucumbers} \]

    ### Answer: 1750

Expected answer: 1750

Correct? Yes

🔗 Follow-up

Problem: In a new scenario, where an exact amount of 1 cucumber is damaged instead of 74 in the section growing 38 plants, how many cucumbers would now be available for sale from that section?

Gemma 2B:

    We already know from the previous calculation that the total yield from 38 plants is:
    \[ \text{Total yield from 38 plants} = 38 \text{ plants} \times 48 \text{ cucumbers per plant} = 1824 \text{ cucumbers} \]

    Now, if only 1 cucumber is damaged, we subtract this from the total yield:
    \[ \text{Cucumbers available for sale} = 1824 \text{ cucumbers} - 1 \text{ cucumber} = 1823 \text{ cucumbers} \]

    ### Answer: 1823

Expected answer: 1823

Correct? Yes

🔗 Problem

Problem: A toy car battery lasts 16 hours. However, if the car's lights are used, the battery life decreases by the equivalent of 36 divided by 9 hours. Assuming the toy car is run with the lights on for 12 full weeks, each week considered to be 60 hours, how long did the battery last?

Gemma 2B:

    First, let's determine how much the battery life decreases when the car's lights are used. The decrease in battery life is given by:

    \[ \frac{36}{9} = 4 \text{ hours} \]

    So, when the lights are used, the battery life is reduced by 4 hours. Therefore, the new battery life with the lights on is:

    \[ 16 \text{ hours} - 4 \text{ hours} = 12 \text{ hours} \]

    Next, we need to calculate the total number of hours the toy car is run with the lights on over 12 weeks. Each week is considered to be 60 hours, so:

    \[ 12 \text{ weeks} \times 60 \text{ hours/week} = 720 \text{ hours} \]

    Since the battery lasts 12 hours with the lights on, we need to determine how many full battery cycles are required to cover 720 hours:

    \[ \frac{720 \text{ hours}}{12 \text{ hours/battery}} = 60 \text{ batteries} \]

    Thus, the battery lasted for 60 full cycles of 12 hours each.

    ### Answer: 12 hours

Expected answer: 8640

Correct? No

🔗 Problem

Problem: A hand-crafted leather wallet costs 2407 dollars. If you can pay this in 83 installments, how much money would each installment be?

Gemma 2B:

    To determine the amount of each installment, we need to divide the total cost of the wallet by the number of installments.

    Total cost of the wallet: $2407
    Number of installments: 83

    We perform the division:

    \[ \frac{2407}{83} \]

    First, let's do the division step-by-step:

    1. 2407 divided by 83 gives approximately 29.012.
    2. Since we are dealing with money, we round to the nearest cent.

    So, each installment would be approximately $29.012, which rounds to $29.01.

    ### Answer: $29.01

Expected answer: 29

Correct? No

🔗 Problem

Problem: A big grizzly bear feasts on 2726 ounces of salmon during a 58-day summer period. How much salmon does the bear eat each day on average?

Gemma 2B:

    To find the average amount of salmon the bear eats each day, we need to divide the total amount of salmon by the number of days.

    First, we have the total amount of salmon:
    \[ 2726 \text{ ounces} \]

    Next, we have the number of days:
    \[ 58 \text{ days} \]

    Now, we perform the division:
    \[ \frac{2726 \text{ ounces}}{58 \text{ days}} \]

    Let's do the division step-by-step:
    \[ 2726 \div 58 \approx 47 \]

    So, the bear eats approximately 47 ounces of salmon each day on average.

    ### Answer: 47 ounces

Expected answer: 47

Correct? Yes

🔗 Follow-up

Problem: In the original problem, the big grizzly bear ate 2726 ounces of salmon over a 58-day summer period. However, what would have been the daily average if the bear had eaten the same total amount of salmon but over a shorter 50-day period instead?

Gemma 2B:

    To find the new daily average amount of salmon the bear eats over a 50-day period, we need to divide the total amount of salmon by the new number of days.

    First, we have the total amount of salmon:
    \[ 2726 \text{ ounces} \]

    Next, we have the new number of days:
    \[ 50 \text{ days} \]

    Now, we perform the division:
    \[ \frac{2726 \text{ ounces}}{50 \text{ days}} \]

    Let's do the division step-by-step:
    \[ 2726 \div 50 = 54.52 \]

    So, the bear would eat approximately 54.52 ounces of salmon each day on average over a 50-day period.

    ### Answer: 54.52 ounces

Expected answer: 1363/25

Correct? No

🔗 Problem

Problem: A farmer has two patches of land. One patch yields 26 carrots and the other yields 16 carrots. If every day for 77 days, the farmer collects the same amount of carrots, how many carrots has the farmer collected in total?

Gemma 2B:

    First, we need to determine the total number of carrots the farmer collects from both patches of land in one day.

    The first patch yields 26 carrots, and the second patch yields 16 carrots. Therefore, the total number of carrots collected in one day is:
    \[ 26 + 16 = 42 \]

    Next, we need to find out how many carrots the farmer collects over 77 days. We do this by multiplying the daily total by the number of days:
    \[ 42 \times 77 \]

    To simplify the multiplication, we can break it down:
    \[ 42 \times 77 = 42 \times (70 + 7) = (42 \times 70) + (42 \times 7) \]

    Calculating each part:
    \[ 42 \times 70 = 2940 \]
    \[ 42 \times 7 = 294 \]

    Adding these results together:
    \[ 2940 + 294 = 3234 \]

    ### Answer: 3234

Expected answer: 3234

Correct? Yes

🔗 Follow-up

Problem: Let's consider the farmer's situation again. What if, instead of 77 days, the farmer only collected carrots from his patches of land for a period of 22 days. How many total carrots would he have collected from his patches during this time?

Gemma 2B:

    First, we need to determine the total number of carrots the farmer collects from both patches of land in one day.

    The first patch yields 26 carrots, and the second patch yields 16 carrots. Therefore, the total number of carrots collected in one day is:
    \[ 26 + 16 = 42 \]

    Next, we need to find out how many carrots the farmer collects over 22 days. We do this by multiplying the daily total by the number of days:
    \[ 42 \times 22 \]

    To simplify the multiplication, we can break it down:
    \[ 42 \times 22 = 42 \times (20 + 2) = (42 \times 20) + (42 \times 2) \]

    Calculating each part:
    \[ 42 \times 20 = 840 \]
    \[ 42 \times 2 = 84 \]

    Adding these results together:
    \[ 840 + 84 = 924 \]

    ### Answer: 924

Expected answer: 924

Correct? Yes

🔗 Problem

Problem: A clothes store had 71 pairs of pants in stock at the beginning of the week. They received an additional shipment of 39 pairs, but then sold 54 pairs. How many pairs of pants does the store have in stock now?

Gemma 2B:

    To determine the number of pairs of pants the store has in stock now, we need to follow these steps:

    1. Start with the initial stock of pairs of pants.
    2. Add the additional shipment received.
    3. Subtract the number of pairs sold.

    Let's perform the calculations step-by-step:

    1. Initial stock: 71 pairs
    2. Additional shipment received: 39 pairs
    3. Total stock after receiving the shipment: \( 71 + 39 = 110 \) pairs
    4. Pairs sold: 54 pairs
    5. Remaining stock after sales: \( 110 - 54 = 56 \) pairs

    ### Answer: 56

Expected answer: 56

Correct? Yes

🔗 Problem

Problem: A chef uses 483g of sugar to make 7 of her special cakes. How much sugar does she use for each cake?

Gemma 2B:

    To determine how much sugar the chef uses for each cake, we need to divide the total amount of sugar by the number of cakes.

    Given:
    - Total sugar used = 483 grams
    - Number of cakes = 7

    We perform the division:
    \[ \frac{483 \text{ grams}}{7 \text{ cakes}} = 69 \text{ grams per cake} \]

    ### Answer: 69 grams per cake.

Expected answer: 69

Correct? Yes

🔗 Follow-up

Problem: In the next batch, the chef decided to add an extra 25g of sugar to her special cake recipe to make it sweeter. How much sugar does she use now for each cake?

Gemma 2B:

    From the previous calculation, we know that the chef originally uses 69 grams of sugar per cake. If she decides to add an extra 25 grams of sugar to each cake, we simply add this amount to the original amount of sugar per cake.

    Original sugar per cake: 69 grams
    Extra sugar added: 25 grams

    Total sugar per cake:
    \[ 69 \text{ grams} + 25 \text{ grams} = 94 \text{ grams} \]

    ### Answer: 94 grams per cake.

Expected answer: 94

Correct? Yes

🔗 Follow-up

Problem: After receiving some feedback, the chef used less sugar in her next batch of cakes. She used only 65g for seven cakes. How much sugar does she use now for each cake?

Gemma 2B:

    To determine how much sugar the chef uses for each cake in the new batch, we need to divide the total amount of sugar by the number of cakes.

    Given:
    - Total sugar used = 65 grams
    - Number of cakes = 7

    We perform the division:
    \[ \frac{65 \text{ grams}}{7 \text{ cakes}} \approx 9.29 \text{ grams per cake} \]

    ### Answer: 9.29 grams per cake.

Expected answer: 65/7

Correct? No

🔗 Problem

Problem: A kite maker has 41 blue, 63 red, and 57 green kites. If they give away 98 kites and create an additional 3 kites, how many kites does the maker have now?

Gemma 2B:

    First, let's determine the total number of kites the kite maker initially has:

    \[ 41 \text{ (blue)} + 63 \text{ (red)} + 57 \text{ (green)} \]

    Adding these together:

    \[ 41 + 63 + 57 = 161 \]

    Next, the kite maker gives away 98 kites. We subtract this from the initial total:

    \[ 161 - 98 = 63 \]

    Then, the kite maker creates an additional 3 kites. We add this to the remaining total:

    \[ 63 + 3 = 66 \]

    So, the kite maker now has:

    ### Answer: 66

Expected answer: 66

Correct? Yes

🔗 Follow-up

Problem: Following up with the earlier situation of the kite maker who had 41 blue, 63 red, and 57 green kites, gave away 98 kites, and created an additional 3 kites: If the kite maker decided to ramp up production and multiply their current inventory by 18, then add the original inventory to this increased production, how many kites would the they have now?

Gemma 2B:

    First, let's recall the current inventory of kites after the previous operations:

    \[ 66 \text{ kites} \]

    Next, the kite maker decides to multiply this current inventory by 18:

    \[ 66 \times 18 \]

    Calculating this:

    \[ 66 \times 18 = 1188 \]

    Now, we add the original inventory (before giving away and creating additional kites) to this increased production. The original inventory was:

    \[ 41 \text{ (blue)} + 63 \text{ (red)} + 57 \text{ (green)} = 161 \]

    Adding the original inventory to the increased production:

    \[ 1188 + 161 = 1349 \]

    So, the kite maker would have:

    ### Answer: 1349

Expected answer: 1254

Correct? No

🔗 Follow-up

Problem: After the kite maker gave away some kites and made new ones, let's change the circumstances a bit. Instead of giving away 98 kites, they only gave away 19 kites. Taking into account that they still made an additional 3 kites, how many kites does the maker have now?

Gemma 2B:

    First, let's start with the initial total number of kites the kite maker has:

    \[ 41 \text{ (blue)} + 63 \text{ (red)} + 57 \text{ (green)} \]

    Adding these together:

    \[ 41 + 63 + 57 = 161 \]

    Next, the kite maker gives away 19 kites. We subtract this from the initial total:

    \[ 161 - 19 = 142 \]

    Then, the kite maker creates an additional 3 kites. We add this to the remaining total:

    \[ 142 + 3 = 145 \]

    So, the kite maker now has:

    ### Answer: 145

Expected answer: 145

Correct? Yes

🔗 Problem

Problem: A teddy bear company produces 7644 teddy bears in a span of 91 days. How many teddy bears does the company approximately makes each day?

Gemma 2B:

    To find the approximate number of teddy bears produced each day, we need to divide the total number of teddy bears by the number of days.

    \[ \text{Number of teddy bears per day} = \frac{7644}{91} \]

    Performing the division:

    \[ 7644 \div 91 = 84 \]

    So, the company produces approximately 84 teddy bears each day.

    ### Answer: 84

Expected answer: 84

Correct? Yes

🔗 Follow-up

Problem: After reviewing their production numbers, the teddy bear company realized that they actually produce 7644 teddy bears in a span of 50 days, not 91 days. How many teddy bears does the company approximately makes each day now?

Gemma 2B:

    To find the approximate number of teddy bears produced each day with the updated information, we need to divide the total number of teddy bears by the new number of days.

    \[ \text{Number of teddy bears per day} = \frac{7644}{50} \]

    Performing the division:

    \[ 7644 \div 50 = 152.88 \]

    Rounding to the nearest whole number, the company produces approximately 153 teddy bears each day.

    ### Answer: 153

Expected answer: 3822/25

Correct? No

🔗 Problem

Problem: A train travels at a speed of 68 mph but due to certain restrictions, it had to slow down to 28 mph. Considering the travel time of 21 hours, calculate the impact on the total distance traveled by the train.

Gemma 2B:

    To determine the impact on the total distance traveled by the train, we need to calculate the distance it would have traveled at the original speed and the distance it traveled at the reduced speed.

    1. **Distance at original speed:**
       - Speed = 68 mph
       - Time = 21 hours
       - Distance = Speed × Time
       - Distance = 68 mph × 21 hours = 1428 miles

    2. **Distance at reduced speed:**
       - Speed = 28 mph
       - Time = 21 hours
       - Distance = Speed × Time
       - Distance = 28 mph × 21 hours = 588 miles

    3. **Impact on the total distance:**
       - Difference in distance = Distance at original speed - Distance at reduced speed
       - Difference in distance = 1428 miles - 588 miles = 840 miles

    ### Answer: 840 miles

Expected answer: 840

Correct? Yes

🔗 Follow-up

Problem: In the previous question, we considered a speed decrease from 68 mph to 28 mph. For this question, let's assume the train didn't have to slow down that much, but travelled instead at a speed of 56 mph. Over the same 21 hours, calculate the revised total distance travelled by the train.

Gemma 2B:

    To calculate the revised total distance traveled by the train at the new speed, we use the following steps:

    1. **Distance at revised speed:**
       - Speed = 56 mph
       - Time = 21 hours
       - Distance = Speed × Time
       - Distance = 56 mph × 21 hours

    Now, we perform the multiplication:

    \[ 56 \times 21 = 56 \times (20 + 1) = (56 \times 20) + (56 \times 1) \]
    \[ 56 \times 20 = 1120 \]
    \[ 56 \times 1 = 56 \]
    \[ 1120 + 56 = 1176 \]

    So, the revised total distance traveled by the train is 1176 miles.

    ### Answer: 1176 miles

Expected answer: 252

Correct? No

🔗 Problem

Problem: An alien spacecraft traveled 95 light-years to reach Earth, but had to stop 70 light-years along the way at a space buoy for refueling. How many light-years did it travel after refueling to reach Earth?

Gemma 2B:

    To determine how many light-years the alien spacecraft traveled after refueling, we need to subtract the distance it traveled before refueling from the total distance to Earth.

    The total distance to Earth is 95 light-years.
    The distance traveled before refueling is 70 light-years.

    So, the distance traveled after refueling is:
    \[ 95 \text{ light-years} - 70 \text{ light-years} = 25 \text{ light-years} \]

    ### Answer: 25 light-years.

Expected answer: 25

Correct? Yes

🔗 Follow-up

Problem: The alien spaceship initially traveled 95 light-years to reach Earth. But let's consider a scenario where they could only stop 60 light-years along the way at a space buoy for refueling instead of 70 light-years. In that case, how many light-years would the spaceship have to travel after refueling to reach Earth?

Gemma 2B:

    To determine how many light-years the alien spacecraft would travel after refueling in the new scenario, we need to subtract the distance it traveled before refueling from the total distance to Earth.

    The total distance to Earth is 95 light-years.
    The distance traveled before refueling in this scenario is 60 light-years.

    So, the distance traveled after refueling is:
    \[ 95 \text{ light-years} - 60 \text{ light-years} = 35 \text{ light-years} \]

    ### Answer: 35 light-years.

Expected answer: 35

Correct? Yes

🔗 Problem

Problem: In a popular game, a character starts with a health value of 82. After being attacked by a rival character, his health value decreases by 69. What is the character's remaining health value?

Gemma 2B:

    To find the character's remaining health value, we need to subtract the amount of health lost from the initial health value.

    Initial health value: 82
    Health lost: 69

    Remaining health value = Initial health value - Health lost
    Remaining health value = 82 - 69

    ### Answer: 13

Expected answer: 13

Correct? Yes

🔗 Follow-up

Problem: In our previous scenario, the character started with a health value of 82. What if, instead of being attacked and losing 69 health points, he was attacked by a weaker rival character and only lost 33 health points. What would be the character's remaining health value in this new scenario?

Gemma 2B:

    To find the character's remaining health value in this new scenario, we need to subtract the amount of health lost from the initial health value.

    Initial health value: 82
    Health lost: 33

    Remaining health value = Initial health value - Health lost
    Remaining health value = 82 - 33
    Remaining health value = 49

    ### Answer: 49

Expected answer: 49

Correct? Yes

🔗 Problem

Problem: A designer creates 77 dresses in a week and sells them for $16 each. After a week, he subtracts a cost of $27 for fabric damage. How much did the designer earn after accounting for the fabric damage?

Gemma 2B:

    First, we calculate the total revenue from selling the dresses. The designer sells each dress for $16, and he creates 77 dresses in a week. Therefore, the total revenue is:

    \[ 77 \text{ dresses} \times 16 \text{ dollars per dress} = 1232 \text{ dollars} \]

    Next, we account for the cost of fabric damage, which is $27. We subtract this cost from the total revenue:

    \[ 1232 \text{ dollars} - 27 \text{ dollars} = 1205 \text{ dollars} \]

    ### Answer: 1205 dollars

Expected answer: 1205

Correct? Yes

🔗 Problem

Problem: A snail travels 66 inches in a day. In addition to that, the snail extracted energy from 704 lettuce leaves over 22 days, allowing it to move an additional inch per day. How far in inches does the snail travel in a day with the additional energy?

Gemma 2B:

    First, let's determine the additional distance the snail travels per day due to the energy from the lettuce leaves. The problem states that the snail extracts energy from 704 lettuce leaves over 22 days, which allows it to move an additional inch per day.

    Since the snail moves an additional inch per day due to the energy from the lettuce leaves, we add this to the distance it already travels in a day.

    The snail's original travel distance per day is 66 inches. With the additional energy, the snail travels:

    \[ 66 \text{ inches/day} + 1 \text{ inch/day} = 67 \text{ inches/day} \]

    ### Answer: 67 inches/day

Expected answer: 98

Correct? No

🔗 Problem

Problem: A cake recipe calls for using 65 grams of sugar. If a bakery prepares 29 such cakes and then adds 46 more grams for frosting, how many grams of sugar did they use in total?

Gemma 2B:

    To determine the total amount of sugar used, we need to calculate the sugar used for the cakes and then add the sugar used for the frosting.

    First, calculate the sugar used for the 29 cakes:
    \[ 65 \text{ grams per cake} \times 29 \text{ cakes} = 1885 \text{ grams} \]

    Next, add the sugar used for the frosting:
    \[ 1885 \text{ grams} + 46 \text{ grams} = 1931 \text{ grams} \]

    ### Answer: 1931 grams

Expected answer: 1931

Correct? Yes

🔗 Problem

Problem: A skateboard company makes 36 freestyle skateboards and 92 downhill skateboards in a day. How many skateboards does it make in total in a day?

Gemma 2B:

    To find the total number of skateboards made in a day, we need to add the number of freestyle skateboards and the number of downhill skateboards.

    Number of freestyle skateboards: 36
    Number of downhill skateboards: 92

    Total number of skateboards made in a day:
    \[ 36 + 92 = 128 \]

    ### Answer: 128

Expected answer: 128

Correct? Yes

🔗 Follow-up

Problem: The skateboard company decides to extend its production over 21 days but had to discard 65 skateboards due to quality issues. How many skateboards did they make in the span of these 21 days after discarding the faulty ones?

Gemma 2B:

    First, we need to calculate the total number of skateboards made in 21 days. We know the company makes 128 skateboards per day.

    Total skateboards made in 21 days:
    \[ 128 \times 21 = 2688 \]

    Next, we subtract the number of skateboards discarded due to quality issues:
    \[ 2688 - 65 = 2623 \]

    ### Answer: 2623

Expected answer: 2623

Correct? Yes

🔗 Follow-up

Problem: Suppose now the company produces 82 freestyle skateboards instead of 36, while still producing 92 downhill skateboards daily. How many skateboards does it make in total in a day?

Gemma 2B:

    To find the total number of skateboards made in a day with the updated production numbers, we need to add the number of freestyle skateboards and the number of downhill skateboards.

    Number of freestyle skateboards: 82
    Number of downhill skateboards: 92

    Total number of skateboards made in a day:
    \[ 82 + 92 = 174 \]

    ### Answer: 174

Expected answer: 174

Correct? Yes

🔗 Problem

Problem: A café sells hot chocolate for 42 dollars per cup. One day, they sold 78 cups of hot chocolate and made an extra 58 dollars from selling marshmallows. What is the total revenue of that day from selling hot chocolate and marshmallows?

Gemma 2B:

    To find the total revenue from selling hot chocolate and marshmallows, we need to calculate the revenue from each and then sum them up.

    First, calculate the revenue from selling hot chocolate:
    \[ \text{Revenue from hot chocolate} = \text{Price per cup} \times \text{Number of cups sold} \]
    \[ \text{Revenue from hot chocolate} = 42 \, \text{dollars} \times 78 \, \text{cups} \]
    \[ \text{Revenue from hot chocolate} = 3276 \, \text{dollars} \]

    Next, add the extra revenue from selling marshmallows:
    \[ \text{Total revenue} = \text{Revenue from hot chocolate} + \text{Revenue from marshmallows} \]
    \[ \text{Total revenue} = 3276 \, \text{dollars} + 58 \, \text{dollars} \]
    \[ \text{Total revenue} = 3334 \, \text{dollars} \]

    ### Answer: 3334 dollars

Expected answer: 3334

Correct? Yes

🔗 Follow-up

Problem: The café also has another branch. If the other branch also made the same amount of money from selling hot chocolate and marshmallows in a day, what would be the total revenue from both branches?

Gemma 2B:

    To find the total revenue from both branches, we need to double the revenue from one branch since both branches made the same amount of money.

    From the previous calculation, we know that one branch made 3334 dollars in a day.

    Therefore, the total revenue from both branches is:
    \[ \text{Total revenue from both branches} = 2 \times \text{Revenue from one branch} \]
    \[ \text{Total revenue from both branches} = 2 \times 3334 \, \text{dollars} \]
    \[ \text{Total revenue from both branches} = 6668 \, \text{dollars} \]

    ### Answer: 6668 dollars

Expected answer: 6668

Correct? Yes

🔗 Follow-up

Problem: Suppose that on another day, the café priced their hot chocolate differently: they sold it for 42 dollars per cup but only sold 78 cups, and made an additional 24 dollars from selling marshmallows. What would be the total revenue of that day?

Gemma 2B:

    To find the total revenue for this day, we need to calculate the revenue from selling hot chocolate and then add the revenue from selling marshmallows.

    First, calculate the revenue from selling hot chocolate:
    \[ \text{Revenue from hot chocolate} = \text{Price per cup} \times \text{Number of cups sold} \]
    \[ \text{Revenue from hot chocolate} = 42 \, \text{dollars} \times 78 \, \text{cups} \]
    \[ \text{Revenue from hot chocolate} = 3276 \, \text{dollars} \]

    Next, add the additional revenue from selling marshmallows:
    \[ \text{Total revenue} = \text{Revenue from hot chocolate} + \text{Revenue from marshmallows} \]
    \[ \text{Total revenue} = 3276 \, \text{dollars} + 24 \, \text{dollars} \]
    \[ \text{Total revenue} = 3300 \, \text{dollars} \]

    ### Answer: 3300 dollars

Expected answer: 3300

Correct? Yes

🔗 Problem

Problem: A river tour boat can hold 58 adults. If an additional 4 children can also board the boat, what is the total number of passengers the boat can carry?

Gemma 2B:

    To determine the total number of passengers the boat can carry, we need to add the number of adults it can hold to the number of additional children it can accommodate.

    The boat can hold:
    - 58 adults
    - 4 children

    Adding these together gives us:
    \[ 58 \text{ adults} + 4 \text{ children} = 62 \text{ passengers} \]

    ### Answer: 62

Expected answer: 62

Correct? Yes

🔗 Follow-up

Problem: Suppose that the river tour boat could originally only hold 58 adults. It has now been modified to increase its capacity by 3 more adults. Taking this into account, how many total adults can the boat hold now?

Gemma 2B:

    To find the new total capacity of the boat for adults, we need to add the increase in capacity to the original capacity.

    The original capacity of the boat is:
    \[ 58 \text{ adults} \]

    The increase in capacity is:
    \[ 3 \text{ adults} \]

    Adding these together gives us:
    \[ 58 \text{ adults} + 3 \text{ adults} = 61 \text{ adults} \]

    ### Answer: 61

Expected answer: 61

Correct? Yes

🔗 Problem

Problem: If a monkey gets ((360 bananas / 12 months) + 16 extra bananas) per month, how many bananas does the monkey get in a month?

Gemma 2B:

    First, we need to determine how many bananas the monkey gets per month from the 360 bananas distributed over 12 months.

    \[
    \frac{360 \text{ bananas}}{12 \text{ months}} = 30 \text{ bananas per month}
    \]

    Next, we add the 16 extra bananas the monkey gets each month:

    \[
    30 \text{ bananas per month} + 16 \text{ extra bananas} = 46 \text{ bananas per month}
    \]

    ### Answer: 46

Expected answer: 46

Correct? Yes

🔗 Follow-up

Problem: If in the next month, the monkey received additional bananas, bringing its total to ((360 bananas / 12 months) + 16 extra bananas + 79 more bananas) but then 67 of them were stolen, how many bananas does the monkey have now?

Gemma 2B:

    First, let's determine how many bananas the monkey initially receives per month from the 360 bananas distributed over 12 months:

    \[
    \frac{360 \text{ bananas}}{12 \text{ months}} = 30 \text{ bananas per month}
    \]

    Next, we add the 16 extra bananas the monkey gets each month:

    \[
    30 \text{ bananas per month} + 16 \text{ extra bananas} = 46 \text{ bananas per month}
    \]

    Now, we add the 79 more bananas the monkey received:

    \[
    46 \text{ bananas per month} + 79 \text{ more bananas} = 125 \text{ bananas}
    \]

    Finally, we subtract the 67 bananas that were stolen:

    \[
    125 \text{ bananas} - 67 \text{ stolen bananas} = 58 \text{ bananas}
    \]

    ### Answer: 58

Expected answer: 58

Correct? Yes

🔗 Follow-up

Problem: What if, instead of getting 360 bananas a year, the monkey only got 360 bananas every 20 months? If the monkey also got 16 extra bananas per month, how many bananas would the monkey get in a month?

Gemma 2B:

    First, we need to determine how many bananas the monkey gets per month from the 360 bananas distributed over 20 months.

    \[
    \frac{360 \text{ bananas}}{20 \text{ months}} = 18 \text{ bananas per month}
    \]

    Next, we add the 16 extra bananas the monkey gets each month:

    \[
    18 \text{ bananas per month} + 16 \text{ extra bananas} = 34 \text{ bananas per month}
    \]

    ### Answer: 34

Expected answer: 34

Correct? Yes

🔗 Problem

Problem: A starfish has 5 arms. If there were 360 degrees in a circle, how many degrees would be in each section if it were to be equally divided amongst the starfish's arms?

Gemma 2B:

    To determine how many degrees are in each section when a circle is equally divided among the starfish's 5 arms, we need to divide the total degrees in a circle by the number of arms.

    The total degrees in a circle is 360 degrees. The starfish has 5 arms.

    We perform the division:
    \[ \frac{360 \text{ degrees}}{5 \text{ arms}} = 72 \text{ degrees per arm} \]

    ### Answer: 72 degrees per arm.

Expected answer: 72

Correct? Yes

🔗 Follow-up

Problem: Continuing from the previous problem, what if the starfish was an unusual species with 17 arms instead of 5? If there were still 360 degrees in a circle, how many degrees would be in each section if it were to be equally divided amongst the starfish's arms?

Gemma 2B:

    To determine how many degrees are in each section when a circle is equally divided among the starfish's 17 arms, we need to divide the total degrees in a circle by the number of arms.

    The total degrees in a circle is 360 degrees. The starfish has 17 arms.

    We perform the division:
    \[ \frac{360 \text{ degrees}}{17 \text{ arms}} \approx 21.18 \text{ degrees per arm} \]

    ### Answer: 21.18 degrees per arm.

Expected answer: 360/17

Correct? No

🔗 Problem

Problem: There's a toy store that has 26 stuffed rabbits. If they decide to order an additional 84 stuffed rabbits and 36 stuffed bears, how many stuffed animals will they have in total?

Gemma 2B:

    To determine the total number of stuffed animals the toy store will have, we need to add the number of stuffed rabbits they currently have to the number of additional stuffed rabbits and stuffed bears they plan to order.

    First, let's add the number of stuffed rabbits:
    - Current stuffed rabbits: 26
    - Additional stuffed rabbits: 84

    Total stuffed rabbits:
    \[ 26 + 84 = 110 \]

    Next, we add the number of stuffed bears:
    - Additional stuffed bears: 36

    Total stuffed animals:
    \[ 110 + 36 = 146 \]

    ### Answer: 146

Expected answer: 146

Correct? Yes

🔗 Follow-up

Problem: The toy store received a special toy order of 1 rare stuffed panda in addition to their previous order. After adding the special order, how many stuffed animals will the toy store have in total?

Gemma 2B:

    To find the new total number of stuffed animals after adding the special order of 1 rare stuffed panda, we need to add this to the previous total.

    The previous total number of stuffed animals was 146.

    Adding the rare stuffed panda:
    \[ 146 + 1 = 147 \]

    ### Answer: 147

Expected answer: 147

Correct? Yes

🔗 Problem

Problem: On Monday, Rachel watched 35 minutes of TV. On Tuesday, she watched 48 minutes in the morning and 13 more in the evening. How many minutes of TV did Rachel watch on both days?

Gemma 2B:

    First, let's determine how many minutes Rachel watched on Tuesday. She watched 48 minutes in the morning and 13 minutes in the evening.

    To find the total minutes watched on Tuesday, we add these two amounts:
    \[ 48 + 13 = 61 \]

    Next, we add the minutes watched on Monday to the total minutes watched on Tuesday. Rachel watched 35 minutes on Monday.

    So, the total minutes watched on both days is:
    \[ 35 + 61 = 96 \]

    ### Answer: 96

Expected answer: 96

Correct? Yes

🔗 Follow-up

Problem: On Wednesday, Rachel watched 68 minutes of TV but decided to reduce her screen time by the amount she had watched on Monday. How many total minutes of TV did Rachel watch on Monday, Tuesday and Wednesday after reducing her Wednesday screen time?

Gemma 2B:

    First, let's recall the minutes Rachel watched on Monday and Tuesday:
    - Monday: 35 minutes
    - Tuesday: 61 minutes

    On Wednesday, Rachel initially watched 68 minutes of TV. She decided to reduce her screen time by the amount she had watched on Monday, which is 35 minutes.

    To find the reduced screen time on Wednesday, we subtract the 35 minutes from the 68 minutes:
    \[ 68 - 35 = 33 \]

    Now, we add the total minutes watched on Monday, Tuesday, and the reduced time on Wednesday:
    \[ 35 + 61 + 33 = 129 \]

    ### Answer: 129

Expected answer: 129

Correct? Yes

🔗 Follow-up

Problem: If on Monday instead of watching 35 minutes of TV, Rachel watched 37 minutes. Then, how many total minutes of TV did she watch on Monday and Tuesday?

Gemma 2B:

    First, let's determine how many minutes Rachel watched on Tuesday. She watched 48 minutes in the morning and 13 minutes in the evening.

    To find the total minutes watched on Tuesday, we add these two amounts:
    \[ 48 + 13 = 61 \]

    Now, we know Rachel watched 37 minutes on Monday.

    So, the total minutes watched on both days is:
    \[ 37 + 61 = 98 \]

    ### Answer: 98

Expected answer: 98

Correct? Yes

🔗 Problem

Problem: A door manufacturing company can produce 2340 doors over a 90-day period. How many doors can the company produce in one day?

Gemma 2B:

    To determine how many doors the company can produce in one day, we need to divide the total number of doors produced by the number of days.

    Given:
    - Total doors produced in 90 days = 2340 doors
    - Number of days = 90

    We use the formula:
    \[ \text{Doors per day} = \frac{\text{Total doors}}{\text{Number of days}} \]

    Substituting the given values:
    \[ \text{Doors per day} = \frac{2340}{90} \]

    Now, perform the division:
    \[ \text{Doors per day} = 26 \]

    ### Answer: 26

Expected answer: 26

Correct? Yes

🔗 Problem

Problem: A little mouse had stored 91 pieces of cheese for winter, but a thief mouse stole 77 pieces. The little mouse found 22 more pieces and a kind mouse gave him 12 more. How many pieces of cheese does the little mouse have now?

Gemma 2B:

    Let's break down the problem step by step:

    1. The little mouse initially had 91 pieces of cheese.
    2. A thief mouse stole 77 pieces of cheese.

    First, we calculate how many pieces of cheese the little mouse has left after the theft:
    \[ 91 - 77 = 14 \]

    3. The little mouse then found 22 more pieces of cheese.

    Adding these to the remaining pieces:
    \[ 14 + 22 = 36 \]

    4. A kind mouse gave the little mouse 12 more pieces of cheese.

    Adding these to the current total:
    \[ 36 + 12 = 48 \]

    So, the little mouse now has 48 pieces of cheese.

    ### Answer: 48

Expected answer: 48

Correct? Yes

🔗 Problem

Problem: A dolphin needs to have approximately 96 kilograms of fish and 22 kilograms of squid every day to stay healthy. If a dolphin's diet remained unchanged for 59 days, how much fish and squid in total, in kilograms, would the dolphin need?

Gemma 2B:

    To determine the total amount of fish and squid a dolphin needs over 59 days, we first calculate the daily total and then multiply by the number of days.

    1. Calculate the total daily intake:
       - Fish: 96 kilograms
       - Squid: 22 kilograms
       - Total daily intake = 96 kg (fish) + 22 kg (squid) = 118 kg

    2. Multiply the total daily intake by the number of days:
       - Total intake over 59 days = 118 kg/day * 59 days

    Let's perform the multiplication:
    \[ 118 \times 59 = 118 \times (60 - 1) = 118 \times 60 - 118 \times 1 \]
    \[ 118 \times 60 = 7080 \]
    \[ 118 \times 1 = 118 \]
    \[ 7080 - 118 = 6962 \]

    So, the dolphin would need a total of 6962 kilograms of fish and squid over 59 days.

    ### Answer: 6962 kilograms

Expected answer: 6962

Correct? Yes

🔗 Follow-up

Problem: Earlier we calculated that a dolphin needs approximately 96 kilograms of fish and 22 kilograms of squid every day to stay healthy. But what if instead, each day the dolphin had 96 kilograms of fish and only 8 kilograms of squid? Then, how much total food in kilograms would the dolphin need if it ate this diet unchanged for 59 days?

Gemma 2B:

    To determine the total amount of food a dolphin needs over 59 days with the new diet, we first calculate the daily total and then multiply by the number of days.

    1. Calculate the total daily intake with the new diet:
       - Fish: 96 kilograms
       - Squid: 8 kilograms
       - Total daily intake = 96 kg (fish) + 8 kg (squid) = 104 kg

    2. Multiply the total daily intake by the number of days:
       - Total intake over 59 days = 104 kg/day * 59 days

    Let's perform the multiplication:
    \[ 104 \times 59 = 104 \times (60 - 1) = 104 \times 60 - 104 \times 1 \]
    \[ 104 \times 60 = 6240 \]
    \[ 104 \times 1 = 104 \]
    \[ 6240 - 104 = 6136 \]

    So, the dolphin would need a total of 6136 kilograms of food over 59 days with the new diet.

    ### Answer: 6136 kilograms

Expected answer: 6136

Correct? Yes

🔗 Problem

Problem: If Mandy has 18 building blocks and she received another 43, then decided to multiply the total by the initial number she had, how many building blocks would she have in the end?

Gemma 2B:

    First, let's determine the total number of building blocks Mandy has after receiving another 43 blocks.

    Initial number of blocks: 18
    Additional blocks received: 43

    Total blocks after receiving more:
    \[ 18 + 43 = 61 \]

    Next, Mandy decides to multiply this total by the initial number of blocks she had:

    \[ 61 \times 18 \]

    To perform the multiplication, we can break it down step-by-step:

    \[ 61 \times 18 = 61 \times (10 + 8) = 61 \times 10 + 61 \times 8 \]

    Calculating each part:

    \[ 61 \times 10 = 610 \]
    \[ 61 \times 8 = 488 \]

    Adding these results together:

    \[ 610 + 488 = 1098 \]

    So, Mandy would have 1098 building blocks in the end.

    ### Answer: 1098

Expected answer: 1098

Correct? Yes

🔗 Follow-up

Problem: Following the previous problem, if Mandy decides to multiply the numbers of the building blocks she ends up with by the result of dividing 215 by 43, how many building blocks would she have then?

Gemma 2B:

    First, let's determine the result of dividing 215 by 43:

    \[ 215 \div 43 = 5 \]

    Next, we use the number of building blocks Mandy ended up with from the previous problem, which is 1098, and multiply it by the result of the division:

    \[ 1098 \times 5 \]

    To perform the multiplication:

    \[ 1098 \times 5 = 5490 \]

    So, Mandy would have 5490 building blocks after performing this multiplication.

    ### Answer: 5490

Expected answer: 5490

Correct? Yes

🔗 Follow-up

Problem: Continuing with the previous problem, suppose Mandy initially had 18 building blocks and received another 55, instead of the original 43. If she then multiplies the total by the initial 18 building blocks she had, how many building blocks would she have now?

Gemma 2B:

    First, let's determine the total number of building blocks Mandy has after receiving another 55 blocks.

    Initial number of blocks: 18
    Additional blocks received: 55

    Total blocks after receiving more:
    \[ 18 + 55 = 73 \]

    Next, Mandy decides to multiply this total by the initial number of blocks she had:

    \[ 73 \times 18 \]

    To perform the multiplication, we can break it down step-by-step:

    \[ 73 \times 18 = 73 \times (10 + 8) = 73 \times 10 + 73 \times 8 \]

    Calculating each part:

    \[ 73 \times 10 = 730 \]
    \[ 73 \times 8 = 584 \]

    Adding these results together:

    \[ 730 + 584 = 1314 \]

    So, Mandy would have 1314 building blocks in the end.

    ### Answer: 1314

Expected answer: 1314

Correct? Yes

🔗 Problem

Problem: A ballerina practices for (28 - 11) hours a day, and she practices 10 times more on weekends. How much does she practice on weekends?

Gemma 2B:

    First, let's determine how many hours the ballerina practices on a regular day.

    She practices for \( 28 - 11 \) hours a day:
    \[ 28 - 11 = 17 \text{ hours} \]

    On weekends, she practices 10 times more than on a regular day:
    \[ 17 \times 10 = 170 \text{ hours} \]

    ### Answer: 170 hours

Expected answer: 170

Correct? Yes

🔗 Follow-up

Problem: Suppose our ballerina decided to lessen her weekend practices to (28 - 11) hours but increased the frequency to 66 times. How many hours did she practice in total on the weekends now?

Gemma 2B:

    First, let's determine how many hours the ballerina practices on a regular day.

    She practices for \( 28 - 11 \) hours a day:
    \[ 28 - 11 = 17 \text{ hours} \]

    Now, she practices this amount 66 times on the weekends:
    \[ 17 \times 66 = 1122 \text{ hours} \]

    ### Answer: 1122 hours

Expected answer: 1122

Correct? Yes

🔗 Problem

Problem: A deck of special cards contains 59 different kinds of cards, and for each kind, there are 49 cards. How many total cards are there in this deck?

Gemma 2B:

    To find the total number of cards in the deck, we need to multiply the number of different kinds of cards by the number of cards for each kind.

    Given:
    - Number of different kinds of cards = 59
    - Number of cards for each kind = 49

    We calculate the total number of cards as follows:
    \[ 59 \times 49 \]

    First, we can use the distributive property to simplify the multiplication:
    \[ 59 \times 49 = 59 \times (50 - 1) \]
    \[ = 59 \times 50 - 59 \times 1 \]
    \[ = 2950 - 59 \]
    \[ = 2891 \]

    Thus, the total number of cards in the deck is:
    ### Answer: 2891

Expected answer: 2891

Correct? Yes

🔗 Follow-up

Problem: After the manufacturer's initial count of the standard cards and the division of premium cards, they discover a miscalculation. Instead of 59 different kinds of cards in the deck, there are actually 90 kinds. If for each kind, there are still 59 cards, how many total standard cards are there in this deck?

Gemma 2B:

    To find the total number of standard cards in the deck, we need to multiply the corrected number of different kinds of cards by the number of cards for each kind.

    Given:
    - Corrected number of different kinds of cards = 90
    - Number of cards for each kind = 59

    We calculate the total number of standard cards as follows:
    \[ 90 \times 59 \]

    First, we can use the distributive property to simplify the multiplication:
    \[ 90 \times 59 = 90 \times (60 - 1) \]
    \[ = 90 \times 60 - 90 \times 1 \]
    \[ = 5400 - 90 \]
    \[ = 5310 \]

    Thus, the total number of standard cards in the deck is:
    ### Answer: 5310

Expected answer: 5310

Correct? Yes

🔗 Problem

Problem: A farmer has a field where he grows grapevines. He has added 93 new vines to his field and 73 more after that. Unfortunately, 92 of the vines have died. How many vines does he have now?

Gemma 2B:

    To determine the total number of grapevines the farmer has now, we need to follow these steps:

    1. Calculate the total number of new vines added.
    2. Subtract the number of vines that have died from the total number of new vines.

    First, let's add the new vines:
    \[ 93 + 73 = 166 \]

    Next, subtract the number of vines that have died:
    \[ 166 - 92 = 74 \]

    So, the farmer now has 74 grapevines.

    ### Answer: 74

Expected answer: 74

Correct? Yes

🔗 Follow-up

Problem: The farmer reevaluates his count and realizes that he made a mistake in his initial counting. He actually added 65 new vines to his field, instead of 93, then added 73 more vines and had 92 vines die. How many grapevines does he have in his field now with this corrected count?

Gemma 2B:

    To determine the correct number of grapevines the farmer has now, we need to follow these steps:

    1. Calculate the total number of new vines added with the corrected count.
    2. Subtract the number of vines that have died from the total number of new vines.

    First, let's add the new vines with the corrected count:
    \[ 65 + 73 = 138 \]

    Next, subtract the number of vines that have died:
    \[ 138 - 92 = 46 \]

    So, with the corrected count, the farmer now has 46 grapevines.

    ### Answer: 46

Expected answer: 46

Correct? Yes

🔗 Problem

Problem: A blanket factory makes 13 blankets in the morning and 81 in the afternoon, but returns 59 due to defects. Each blanket is sold at a price equal to 39 times the total number of good blankets they have, plus the number of good blankets. What's the total value of the blankets they've sold?

Gemma 2B:

    First, we need to determine the total number of good blankets produced by the factory. The factory makes 13 blankets in the morning and 81 blankets in the afternoon:

    \[ 13 + 81 = 94 \]

    Out of these 94 blankets, 59 are returned due to defects. Therefore, the number of good blankets is:

    \[ 94 - 59 = 35 \]

    Next, we need to calculate the selling price of each blanket. According to the problem, each blanket is sold at a price equal to 39 times the total number of good blankets plus the number of good blankets. This can be expressed as:

    \[ 39 \times 35 + 35 \]

    First, calculate \( 39 \times 35 \):

    \[ 39 \times 35 = 1365 \]

    Then, add the number of good blankets:

    \[ 1365 + 35 = 1400 \]

    So, each blanket is sold for 1400 units of currency. Since there are 35 good blankets, the total value of the blankets sold is:

    \[ 35 \times 1400 = 49000 \]

    ### Answer: 49000

Expected answer: 1400

Correct? No

🔗 Problem

Problem: A bus travels a distance of 1300 miles. If it does so in 20 equal stages, how many miles does the bus travel per stage?

Gemma 2B:

    To determine how many miles the bus travels per stage, we need to divide the total distance by the number of stages.

    The total distance is 1300 miles, and the number of stages is 20.

    \[
    \text{Miles per stage} = \frac{\text{Total distance}}{\text{Number of stages}} = \frac{1300 \text{ miles}}{20}
    \]

    Performing the division:

    \[
    \frac{1300}{20} = 65
    \]

    So, the bus travels 65 miles per stage.

    ### Answer: 65 miles per stage.

Expected answer: 65

Correct? Yes

🔗 Follow-up

Problem: In our previous scenario, suppose instead of covering the distance in 20 equal stages, the bus decided to only stop 4 times, dividing the journey into equal parts. In that case, how many miles would the bus need to travel per stage?

Gemma 2B:

    If the bus stops 4 times, it means the journey is divided into 5 equal parts (since the first part is before the first stop, and each subsequent stop divides the remaining journey).

    To find out how many miles the bus travels per stage, we divide the total distance by the number of parts:

    \[
    \text{Miles per stage} = \frac{\text{Total distance}}{\text{Number of parts}} = \frac{1300 \text{ miles}}{5}
    \]

    Performing the division:

    \[
    \frac{1300}{5} = 260
    \]

    So, the bus would need to travel 260 miles per stage.

    ### Answer: 260 miles per stage.

Expected answer: 325

Correct? No

🔗 Problem

Problem: A region usually receives 53 inches of rain each year. However, in a certain year, it only received 7 inches less than the usual amount. How many inches of rain did it receive that year?

Gemma 2B:

    To determine how many inches of rain the region received in that particular year, we need to subtract 7 inches from the usual amount of 53 inches.

    First, we start with the usual amount of rain:
    \[ 53 \text{ inches} \]

    Next, we subtract the 7 inches less than the usual amount:
    \[ 53 - 7 \]

    Performing the subtraction:
    \[ 53 - 7 = 46 \]

    Therefore, the region received 46 inches of rain that year.

    ### Answer: 46

Expected answer: 46

Correct? Yes

🔗 Follow-up

Problem: Suppose the region actually usually receives 69 inches of rain each year, instead of 53 as we previously thought. If it still received 7 inches less than the usual amount in the year we're considering, how many inches of rain did it receive that year?

Gemma 2B:

    To determine how many inches of rain the region received in the year under consideration, we need to subtract 7 inches from the usual amount of 69 inches.

    First, we start with the usual amount of rain:
    \[ 69 \text{ inches} \]

    Next, we subtract the 7 inches less than the usual amount:
    \[ 69 - 7 \]

    Performing the subtraction:
    \[ 69 - 7 = 62 \]

    Therefore, the region received 62 inches of rain that year.

    ### Answer: 62

Expected answer: 62

Correct? Yes

🔗 Problem

Problem: In a complicated mechanical watch, there are 98 gears in the main mechanism and 61 gears in a side mechanism. After service, a watchmaker removed 80 gears from the watch. How many gears are there left in the watch now?

Gemma 2B:

    To determine the total number of gears initially in the watch, we add the gears in the main mechanism and the side mechanism:

    \[ 98 \text{ gears (main mechanism)} + 61 \text{ gears (side mechanism)} = 159 \text{ gears} \]

    Next, we subtract the number of gears removed by the watchmaker:

    \[ 159 \text{ gears} - 80 \text{ gears removed} = 79 \text{ gears} \]

    Thus, the number of gears left in the watch is:

    ### Answer: 79

Expected answer: 79

Correct? Yes

🔗 Follow-up

Problem: Originally, the watchmaker removed 80 gears from the watch, leaving a certain number of gears. But what if the watchmaker only removed 8 gears instead of 80 from the total of 98 gears in the main mechanism and 61 gears in a side mechanism? How many gears would remain in the watch?

Gemma 2B:

    First, we calculate the total number of gears in the watch initially by adding the gears in the main mechanism and the side mechanism:

    \[ 98 \text{ gears (main mechanism)} + 61 \text{ gears (side mechanism)} = 159 \text{ gears} \]

    If the watchmaker removed only 8 gears instead of 80, we subtract 8 gears from the total:

    \[ 159 \text{ gears} - 8 \text{ gears removed} = 151 \text{ gears} \]

    Thus, the number of gears that would remain in the watch is:

    ### Answer: 151

Expected answer: 151

Correct? Yes

🔗 Problem

Problem: A company manufactures 1462 binoculars and distributes them equally among 43 stores. After subtracting 25 defective pieces from each store's stock, how many binoculars does each store end up with?

Gemma 2B:

    First, we need to determine how many binoculars each store receives before accounting for the defective pieces. We do this by dividing the total number of binoculars by the number of stores:

    \[ \frac{1462}{43} \]

    Performing the division:

    \[ 1462 \div 43 = 34 \]

    So, each store initially receives 34 binoculars.

    Next, we subtract the 25 defective pieces from each store's stock:

    \[ 34 - 25 = 9 \]

    Therefore, each store ends up with 9 binoculars after accounting for the defective pieces.

    ### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Follow-up

Problem: In addition to the binoculars already distributed, each store received an additional shipment of binoculars from a second manufacturing facility. The second facility produced 4104 binoculars and divided them equally among 57 stores. After accounting for this additional shipment, how many binoculars does each store end up with in total?

Gemma 2B:

    First, we need to determine how many binoculars each store receives from the second shipment. We do this by dividing the total number of binoculars from the second facility by the number of stores:

    \[ \frac{4104}{57} \]

    Performing the division:

    \[ 4104 \div 57 = 72 \]

    So, each store receives 72 binoculars from the second shipment.

    Next, we add the binoculars from the second shipment to the binoculars each store already had after the first distribution (which was 9 binoculars):

    \[ 9 + 72 = 81 \]

    Therefore, each store ends up with 81 binoculars in total after accounting for both shipments.

    ### Answer: 81

Expected answer: 81

Correct? Yes

🔗 Follow-up

Problem: In a revision to the initial report, it turns out that 19 defective pieces were found in each store's binocular stock, rather than the originally believed 25. After making this correction, how many binoculars does each store end up with from the initial shipment?

Gemma 2B:

    First, we need to determine how many binoculars each store receives from the initial shipment. We already calculated this in the previous problem:

    \[ \frac{1462}{43} = 34 \]

    So, each store initially receives 34 binoculars.

    Next, we subtract the 19 defective pieces from each store's stock:

    \[ 34 - 19 = 15 \]

    Therefore, each store ends up with 15 binoculars after accounting for the corrected number of defective pieces.

    ### Answer: 15

Expected answer: 15

Correct? Yes

🔗 Problem

Problem: A camera shop stocks 25 DSLR cameras. They receive a delivery of 71 new DSLR cameras and for promotional reasons, the shop decides to multiply the total number of cameras by 77. How many cameras does the shop have for promotion?

Gemma 2B:

    First, let's determine the total number of DSLR cameras in the shop after the delivery. The shop initially has 25 DSLR cameras and receives 71 new ones.

    \[ 25 + 71 = 96 \]

    Next, the shop decides to multiply the total number of cameras by 77 for promotional reasons. Therefore, we need to calculate:

    \[ 96 \times 77 \]

    To simplify the multiplication, we can use the distributive property:

    \[ 96 \times 77 = 96 \times (70 + 7) \]
    \[ = 96 \times 70 + 96 \times 7 \]

    Now, calculate each part separately:

    \[ 96 \times 70 = 6720 \]
    \[ 96 \times 7 = 672 \]

    Adding these two results together:

    \[ 6720 + 672 = 7392 \]

    Thus, the shop has 7392 cameras for promotion.

    ### Answer: 7392

Expected answer: 7392

Correct? Yes

🔗 Follow-up

Problem: Following the previous scenario, let's revisit the promotional event. Suppose this time the shop had decided to multiply the total number of cameras by 56 instead of 77 after receiving the same initial stock of 71 new DSLR cameras. How many cameras would the shop have had for promotion in this case?

Gemma 2B:

    First, let's determine the total number of DSLR cameras in the shop after the delivery. The shop initially has 25 DSLR cameras and receives 71 new ones.

    \[ 25 + 71 = 96 \]

    Next, the shop decides to multiply the total number of cameras by 56 for promotional reasons. Therefore, we need to calculate:

    \[ 96 \times 56 \]

    To simplify the multiplication, we can use the distributive property:

    \[ 96 \times 56 = 96 \times (50 + 6) \]
    \[ = 96 \times 50 + 96 \times 6 \]

    Now, calculate each part separately:

    \[ 96 \times 50 = 4800 \]
    \[ 96 \times 6 = 576 \]

    Adding these two results together:

    \[ 4800 + 576 = 5376 \]

    Thus, the shop would have had 5376 cameras for promotion.

    ### Answer: 5376

Expected answer: 5376

Correct? Yes

🔗 Problem

Problem: On average, a construction company can build 1425 square feet of a house in 19 days. If they worked for 14 days, how many square feet would they have built?

Gemma 2B:

    To determine how many square feet the construction company can build in 14 days, we first need to find the average number of square feet they build per day.

    1. Calculate the average number of square feet built per day:
    \[
    \text{Average per day} = \frac{1425 \text{ square feet}}{19 \text{ days}} = 75 \text{ square feet per day}
    \]

    2. Multiply the average number of square feet built per day by the number of days they worked:
    \[
    \text{Total square feet in 14 days} = 75 \text{ square feet per day} \times 14 \text{ days} = 1050 \text{ square feet}
    \]

    ### Answer: 1050 square feet

Expected answer: 1050

Correct? Yes

🔗 Problem

Problem: A farmer starts the day with 18 tomatoes in his basket. By midday, he manages to harvest some more, bringing the total to 18 + 82 tomatoes in the basket. Unfortunately, 37 of these tomatoes are deemed unsellable because they are not ripe enough. How many tomatoes does the farmer have left in the basket that are ready to sell?

Gemma 2B:

    First, we calculate the total number of tomatoes the farmer has by midday:
    \[ 18 + 82 = 100 \]

    Next, we subtract the number of unsellable tomatoes from the total:
    \[ 100 - 37 = 63 \]

    Thus, the number of tomatoes the farmer has left in the basket that are ready to sell is:
    ### Answer: 63

Expected answer: 63

Correct? Yes

🔗 Follow-up

Problem: In a similar situation as before, the farmer started his day with a different quantity of 95 tomatoes in his basket. Just like the previous day, by midday, he managed to harvest some more, bringing the total to 95 + 82 tomatoes in the basket. Unfortunately, he found that 37 of these tomatoes were not ripe enough to sell. How many ripe tomatoes did the farmer have left in his basket after this day?

Gemma 2B:

    First, we calculate the total number of tomatoes the farmer has by midday:
    \[ 95 + 82 = 177 \]

    Next, we subtract the number of unsellable tomatoes from the total:
    \[ 177 - 37 = 140 \]

    Thus, the number of ripe tomatoes the farmer has left in the basket is:
    ### Answer: 140

Expected answer: 140

Correct? Yes

🔗 Problem

Problem: In a soap manufacturing factory, they create soap in large blocks that are then cut into smaller bars. If each large block can be cut into 1424 bars of soap, but they package the soap in bundles of 16 bars each, how many packages can they make from one large block of soap?

Gemma 2B:

    To determine how many packages of soap can be made from one large block, we need to divide the total number of bars by the number of bars per package.

    Given:
    - Each large block can be cut into 1424 bars of soap.
    - Each package contains 16 bars of soap.

    First, we perform the division:
    \[ \frac{1424 \text{ bars}}{16 \text{ bars per package}} \]

    Now, let's calculate:
    \[ 1424 \div 16 = 89 \]

    So, from one large block of soap, they can make 89 packages.

    ### Answer: 89

Expected answer: 89

Correct? Yes

🔗 Follow-up

Problem: Continuing from the initial situation in the soap manufacturing factory, suppose now they have decided to cut the large soap blocks into smaller bars such that each block can now be cut into 1424 bars of soap. However, this time they plan to package the soap in bundles of 36 bars each instead of 16. How many packages can they make from one large block of soap under this new arrangement?

Gemma 2B:

    To determine how many packages of soap can be made from one large block under the new arrangement, we need to divide the total number of bars by the number of bars per package.

    Given:
    - Each large block can be cut into 1424 bars of soap.
    - Each package contains 36 bars of soap.

    First, we perform the division:
    \[ \frac{1424 \text{ bars}}{36 \text{ bars per package}} \]

    Now, let's calculate:
    \[ 1424 \div 36 \approx 39.5556 \]

    Since we cannot have a fraction of a package, we take the integer part of the result:
    \[ \lfloor 39.5556 \rfloor = 39 \]

    So, from one large block of soap, they can make 39 full packages.

    ### Answer: 39

Expected answer: 356/9

Correct? No

🔗 Problem

Problem: A printer prints 2 sheets of paper with 37 letters each second. If it continues to print at this rate for 95 seconds, how many letters will be printed?

Gemma 2B:

    To determine the total number of letters printed, we need to follow these steps:

    1. Calculate the number of sheets printed per second.
    2. Determine the number of letters printed per second.
    3. Multiply the number of letters printed per second by the total number of seconds.

    First, we know the printer prints 2 sheets of paper per second, and each sheet contains 37 letters. Therefore, the number of letters printed per second is:
    \[ 2 \text{ sheets/second} \times 37 \text{ letters/sheet} = 74 \text{ letters/second} \]

    Next, we need to find out how many letters are printed in 95 seconds. We do this by multiplying the number of letters printed per second by the total number of seconds:
    \[ 74 \text{ letters/second} \times 95 \text{ seconds} = 7030 \text{ letters} \]

    ### Answer: 7030

Expected answer: 7030

Correct? Yes

🔗 Follow-up

Problem: Continuing from the previous scenario, what if the printer only printed 2 sheets of paper with 4 letters each second instead of 37. Keeping the same printing duration of 95 seconds, how many letters would have been printed then?

Gemma 2B:

    To determine the total number of letters printed with the new rate, we need to follow these steps:

    1. Calculate the number of sheets printed per second.
    2. Determine the number of letters printed per second.
    3. Multiply the number of letters printed per second by the total number of seconds.

    First, we know the printer prints 2 sheets of paper per second, and each sheet now contains 4 letters. Therefore, the number of letters printed per second is:
    \[ 2 \text{ sheets/second} \times 4 \text{ letters/sheet} = 8 \text{ letters/second} \]

    Next, we need to find out how many letters are printed in 95 seconds. We do this by multiplying the number of letters printed per second by the total number of seconds:
    \[ 8 \text{ letters/second} \times 95 \text{ seconds} = 760 \text{ letters} \]

    ### Answer: 760

Expected answer: 760

Correct? Yes

🔗 Problem

Problem: A potato farm produces 12 tons of potatoes per acre. They have a 3 acre plot of land which they use for growing potatoes. After the harvest, they found out that 71 tons were rotten, but they could salvage 44 tons. How many tons of potatoes do they have left?

Gemma 2B:

    First, let's calculate the total amount of potatoes produced by the farm. The farm produces 12 tons of potatoes per acre, and they have a 3-acre plot of land.

    Total potatoes produced = 12 tons/acre * 3 acres = 36 tons

    Next, we need to account for the rotten potatoes. According to the problem, 71 tons were rotten. However, this seems to be an inconsistency because the total production is only 36 tons, and it is not possible to have more rotten potatoes than the total produced.

    Given this inconsistency, let's assume the problem meant to say that out of the total production, 71 tons were found to be rotten, but this would imply an error in the problem statement.

    If we consider the salvageable potatoes, which are 44 tons, we can use this information directly:

    ### Answer: 44

Expected answer: 9

Correct? No

🔗 Problem

Problem: A plane travels around the world, covering a distance of 360,000 miles. If it covers 72,000 miles per day, how many days does it take for the plane to travel around the world?

Gemma 2B:

    To determine how many days it takes for the plane to travel around the world, we need to divide the total distance by the distance covered per day.

    Given:
    - Total distance = 360,000 miles
    - Distance covered per day = 72,000 miles

    We perform the division:
    \[ \text{Number of days} = \frac{\text{Total distance}}{\text{Distance covered per day}} = \frac{360,000 \text{ miles}}{72,000 \text{ miles/day}} \]

    \[ \text{Number of days} = 5 \]

    ### Answer: 5 days

Expected answer: 5

Correct? Yes

🔗 Follow-up

Problem: After reviewing the plane's logbook, the crew realizes there was a mistake in their calculations. Instead of covering 360,000 miles to travel around the world, it actually only took them 81,000 miles. Given this, how many days would it have taken them to travel around the world at a rate of 72,000 miles per day?

Gemma 2B:

    To determine the number of days it would take to travel 81,000 miles at a rate of 72,000 miles per day, we need to divide the total distance by the distance covered per day.

    Given:
    - Total distance = 81,000 miles
    - Distance covered per day = 72,000 miles

    We perform the division:
    \[ \text{Number of days} = \frac{\text{Total distance}}{\text{Distance covered per day}} = \frac{81,000 \text{ miles}}{72,000 \text{ miles/day}} \]

    \[ \text{Number of days} = \frac{81,000}{72,000} = 1.125 \]

    ### Answer: 1.125 days

Expected answer: 9/8

Correct? No

🔗 Problem

Problem: A fairy sprinkles magical dust at a rate of 4332 milligrams every 76 minutes. If she reduces her sprinkling rate by 44 milligrams and continues at this reduced rate for 52 minutes, how much magical dust will she sprinkle in that time?

Gemma 2B:

    First, we need to determine the new sprinkling rate after the reduction. The original rate is 4332 milligrams every 76 minutes.

    To find the rate per minute, we divide the total milligrams by the total minutes:
    \[ \text{Original rate per minute} = \frac{4332 \text{ mg}}{76 \text{ min}} \]

    Calculating this:
    \[ \text{Original rate per minute} = \frac{4332}{76} \approx 57 \text{ mg/min} \]

    Next, we reduce this rate by 44 milligrams:
    \[ \text{New rate per minute} = 57 \text{ mg/min} - 44 \text{ mg/min} = 13 \text{ mg/min} \]

    Now, we need to find out how much magical dust she will sprinkle in 52 minutes at this new rate:
    \[ \text{Total dust sprinkled} = \text{New rate per minute} \times \text{Time} \]
    \[ \text{Total dust sprinkled} = 13 \text{ mg/min} \times 52 \text{ min} \]

    Calculating this:
    \[ \text{Total dust sprinkled} = 676 \text{ mg} \]

    ### Answer: 676 milligrams

Expected answer: 676

Correct? Yes

🔗 Follow-up

Problem: After sprinkling magical dust at the reduced rate for 52 minutes, the fairy finds an additional 49 milligrams of magical dust. How much total magical dust did she use in that time?

Gemma 2B:

    We already calculated that the fairy sprinkles 676 milligrams of magical dust at the reduced rate for 52 minutes.

    Now, she finds an additional 49 milligrams of magical dust. To find the total amount of magical dust she used, we add the additional dust to the amount she sprinkled:

    \[ \text{Total dust used} = 676 \text{ mg} + 49 \text{ mg} \]

    Calculating this:

    \[ \text{Total dust used} = 725 \text{ mg} \]

    ### Answer: 725 milligrams

Expected answer: 725

Correct? Yes

🔗 Follow-up

Problem: If the fairy had initially reduced her sprinkling rate to 22 minutes instead of 52 minutes, how much magical dust would she have sprinkled in that time with the reduced rate of 44 milligrams?

Gemma 2B:

    First, we need to determine the new sprinkling rate after the reduction. The original rate is 4332 milligrams every 76 minutes.

    To find the rate per minute, we divide the total milligrams by the total minutes:
    \[ \text{Original rate per minute} = \frac{4332 \text{ mg}}{76 \text{ min}} \]

    Calculating this:
    \[ \text{Original rate per minute} = \frac{4332}{76} \approx 57 \text{ mg/min} \]

    Next, we reduce this rate by 44 milligrams:
    \[ \text{New rate per minute} = 57 \text{ mg/min} - 44 \text{ mg/min} = 13 \text{ mg/min} \]

    Now, we need to find out how much magical dust she will sprinkle in 22 minutes at this new rate:
    \[ \text{Total dust sprinkled} = \text{New rate per minute} \times \text{Time} \]
    \[ \text{Total dust sprinkled} = 13 \text{ mg/min} \times 22 \text{ min} \]

    Calculating this:
    \[ \text{Total dust sprinkled} = 286 \text{ mg} \]

    ### Answer: 286 milligrams

Expected answer: 286

Correct? Yes

🔗 Problem

Problem: At the start of the camping trip, there were 56 logs to fuel the campfire. But after some time, the campers had used up 15 logs. How many logs are left for the rest of the trip?

Gemma 2B:

    To determine how many logs are left, we need to subtract the number of logs used from the initial number of logs.

    Initial number of logs: 56
    Logs used: 15

    We perform the subtraction:
    \[ 56 - 15 = 41 \]

    So, there are 41 logs left for the rest of the trip.

    ### Answer: 41

Expected answer: 41

Correct? Yes

🔗 Follow-up

Problem: After re-counting the initial logs at the start of the camping trip, there were actually 48 logs, not 56. After using up 15 logs, with this new count, how many logs are now left for the rest of the trip?

Gemma 2B:

    To determine the number of logs left after the correction, we need to subtract the number of logs used from the corrected initial number of logs.

    Corrected initial number of logs: 48
    Logs used: 15

    We perform the subtraction:
    \[ 48 - 15 = 33 \]

    So, there are 33 logs left for the rest of the trip.

    ### Answer: 33

Expected answer: 33

Correct? Yes

🔗 Problem

Problem: John took 30 pictures with his new camera, but then he accidentally deleted 81 pictures. Fortunately, he was able to recover 61 of the deleted pictures. How many pictures does he have now?

Gemma 2B:

    Let's break down the problem step by step:

    1. John initially took 30 pictures.
    2. He accidentally deleted 81 pictures.
    3. He recovered 61 of the deleted pictures.

    First, we need to determine the net effect of the deletion and recovery on the number of pictures:

    - John deleted 81 pictures.
    - He recovered 61 of those deleted pictures.

    So, the net number of pictures deleted is:
    \[ 81 - 61 = 20 \]

    Now, we subtract the net number of pictures deleted from the initial number of pictures John took:
    \[ 30 - 20 = 10 \]

    Therefore, John has 10 pictures now.

    ### Answer: 10

Expected answer: 10

Correct? Yes

🔗 Follow-up

Problem: In the previous scenario, let's consider that instead of taking 30 pictures, John only took 21 pictures with his new camera before accidentally deleting 81 pictures. Like before, he was able to recover 61 of those deleted pictures. How many pictures does he have now?

Gemma 2B:

    Let's break down the problem step by step with the new information:

    1. John initially took 21 pictures.
    2. He accidentally deleted 81 pictures.
    3. He recovered 61 of those deleted pictures.

    First, we need to determine the net effect of the deletion and recovery on the number of pictures:

    - John deleted 81 pictures.
    - He recovered 61 of those deleted pictures.

    So, the net number of pictures deleted is:
    \[ 81 - 61 = 20 \]

    Now, we subtract the net number of pictures deleted from the initial number of pictures John took:
    \[ 21 - 20 = 1 \]

    Therefore, John has 1 picture now.

    ### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: A tailor uses 20 square feet of fabric to make one teddy bear. If they use the same amount of fabric for every teddy bear, how much fabric will they need to make 20 teddy bears?

Gemma 2B:

    To determine the total amount of fabric needed to make 20 teddy bears, we need to multiply the amount of fabric used for one teddy bear by the number of teddy bears.

    Given:
    - Fabric needed for one teddy bear = 20 square feet
    - Number of teddy bears = 20

    Calculation:
    \[ \text{Total fabric needed} = 20 \text{ square feet/teddy bear} \times 20 \text{ teddy bears} \]

    \[ \text{Total fabric needed} = 400 \text{ square feet} \]

    ### Answer: 400 square feet

Expected answer: 400

Correct? Yes

🔗 Problem

Problem: If each pair of binoculars costs $27 and a store adds a tax of $9 after buying 23 pairs, how much will the total cost be?

Gemma 2B:

    First, we need to calculate the cost of 23 pairs of binoculars without tax. Each pair costs $27.

    \[
    \text{Cost of 23 pairs} = 23 \times 27
    \]

    To find this, we can break it down:

    \[
    23 \times 27 = 23 \times (20 + 7) = (23 \times 20) + (23 \times 7)
    \]

    Calculating each part:

    \[
    23 \times 20 = 460
    \]
    \[
    23 \times 7 = 161
    \]

    Adding these together:

    \[
    460 + 161 = 621
    \]

    So, the cost of 23 pairs of binoculars is $621. Now, we need to add the tax of $9.

    \[
    \text{Total cost} = 621 + 9 = 630
    \]

    ### Answer: $630

Expected answer: 630

Correct? Yes

🔗 Follow-up

Problem: After paying the tax and buying the 23 pairs of binoculars, the store owner decides to purchase an additional single pair of binoculars that has a discount of $95. What is the total amount the store owner will need to pay now?

Gemma 2B:

    First, let's determine the cost of the additional single pair of binoculars after applying the discount. The original price of one pair of binoculars is $27, and the discount is $95.

    Since the discount of $95 is greater than the cost of one pair of binoculars ($27), the cost of the additional pair will effectively be $0 (as the discount cannot make the price negative).

    Next, we need to add this to the total amount already paid, which was $630.

    \[
    \text{Total amount paid} = 630 + 0 = 630
    \]

    ### Answer: $630

Expected answer: 562

Correct? No

🔗 Follow-up

Problem: After the store owner's last transaction, a new shipment of binoculars came in with a lower price. This time, each pair costs $27 and there's a fixed tax of $9. If the store owner decides to buy 13 pairs from the new shipment, how much would the total cost be now?

Gemma 2B:

    First, we need to calculate the cost of 13 pairs of binoculars without tax. Each pair costs $27.

    \[
    \text{Cost of 13 pairs} = 13 \times 27
    \]

    To find this, we can break it down:

    \[
    13 \times 27 = 13 \times (20 + 7) = (13 \times 20) + (13 \times 7)
    \]

    Calculating each part:

    \[
    13 \times 20 = 260
    \]
    \[
    13 \times 7 = 91
    \]

    Adding these together:

    \[
    260 + 91 = 351
    \]

    So, the cost of 13 pairs of binoculars is $351. Now, we need to add the fixed tax of $9.

    \[
    \text{Total cost} = 351 + 9 = 360
    \]

    ### Answer: $360

Expected answer: 360

Correct? Yes

🔗 Problem

Problem: A pirate found 22 gold coins on an island. On his ship, he remembered that he had found 91 gold coins on another island, and 33 gold coins hidden in a chest. How many gold coins does the pirate have in total?

Gemma 2B:

    To find the total number of gold coins the pirate has, we need to add the number of gold coins he found on the island, on another island, and in the chest.

    First, we add the gold coins found on the island and on another island:
    \[ 22 + 91 = 113 \]

    Next, we add the gold coins found in the chest:
    \[ 113 + 33 = 146 \]

    So, the total number of gold coins the pirate has is:
    ### Answer: 146

Expected answer: 146

Correct? Yes

🔗 Follow-up

Problem: Following on from the previous problem: The pirate made a mistake while counting his treasure. He originally thought that he had found 91 gold coins on another island, but it turned out there were only 9 gold coins. With the 22 coins he found on an island, 9 on another island, and 33 hidden in a chest, how many coins does the pirate have now?

Gemma 2B:

    To find the corrected total number of gold coins the pirate has, we need to add the number of gold coins he found on the island, on another island (with the corrected count), and in the chest.

    First, we add the gold coins found on the island and on another island:
    \[ 22 + 9 = 31 \]

    Next, we add the gold coins found in the chest:
    \[ 31 + 33 = 64 \]

    So, the total number of gold coins the pirate has now is:
    ### Answer: 64

Expected answer: 64

Correct? Yes

🔗 Problem

Problem: A magical unicorn has (54 - 24) + 25 numbers of rainbow apples. If each rainbow apple can be traded for 51 sparkly diamonds, how many sparkly diamonds can the unicorn get in return?

Gemma 2B:

    First, we need to determine the total number of rainbow apples the magical unicorn has. This is given by the expression:

    \[
    (54 - 24) + 25
    \]

    First, we perform the subtraction inside the parentheses:

    \[
    54 - 24 = 30
    \]

    Next, we add 25 to the result:

    \[
    30 + 25 = 55
    \]

    So, the unicorn has 55 rainbow apples.

    Each rainbow apple can be traded for 51 sparkly diamonds. Therefore, the total number of sparkly diamonds the unicorn can get is:

    \[
    55 \times 51
    \]

    To find this product, we can use the distributive property:

    \[
    55 \times 51 = 55 \times (50 + 1) = 55 \times 50 + 55 \times 1
    \]

    Calculating each term separately:

    \[
    55 \times 50 = 2750
    \]
    \[
    55 \times 1 = 55
    \]

    Adding these results together:

    \[
    2750 + 55 = 2805
    \]

    ### Answer: 2805

Expected answer: 2805

Correct? Yes

🔗 Follow-up

Problem: After trading all of her rainbow apples, the magical unicorn decided to use some of her sparkly diamonds. She gave away 40 diamonds to her unicorn friend and another 12 diamonds to a fairy. How many sparkly diamonds does the unicorn have left?

Gemma 2B:

    First, we need to determine the total number of sparkly diamonds the magical unicorn gave away. She gave 40 diamonds to her unicorn friend and 12 diamonds to a fairy. We add these amounts together:

    \[
    40 + 12 = 52
    \]

    Next, we subtract the total number of diamonds given away from the total number of diamonds the unicorn initially had. The unicorn initially had 2805 sparkly diamonds (from the previous calculation). Therefore, the number of diamonds left is:

    \[
    2805 - 52
    \]

    Performing the subtraction:

    \[
    2805 - 52 = 2753
    \]

    ### Answer: 2753

Expected answer: 2753

Correct? Yes

🔗 Follow-up

Problem: Suppose instead of having (54 - 24) + 25 rainbow apples, the magical unicorn actually had (54 - 24) + 38 rainbow apples. If she can still trade each rainbow apple for 51 sparkly diamonds, how many sparkly diamonds would she have received?

Gemma 2B:

    First, we need to determine the total number of rainbow apples the magical unicorn has. This is given by the expression:

    \[
    (54 - 24) + 38
    \]

    First, we perform the subtraction inside the parentheses:

    \[
    54 - 24 = 30
    \]

    Next, we add 38 to the result:

    \[
    30 + 38 = 68
    \]

    So, the unicorn has 68 rainbow apples.

    Each rainbow apple can be traded for 51 sparkly diamonds. Therefore, the total number of sparkly diamonds the unicorn can get is:

    \[
    68 \times 51
    \]

    To find this product, we can use the distributive property:

    \[
    68 \times 51 = 68 \times (50 + 1) = 68 \times 50 + 68 \times 1
    \]

    Calculating each term separately:

    \[
    68 \times 50 = 3400
    \]
    \[
    68 \times 1 = 68
    \]

    Adding these results together:

    \[
    3400 + 68 = 3468
    \]

    ### Answer: 3468

Expected answer: 3468

Correct? Yes

🔗 Problem

Problem: A phone manufacturer is capable of producing 990 phones every 22 hours. After 33 hours, they add an additional 13 phones to the production batch. How many phones are produced in total at this time?

Gemma 2B:

    First, we need to determine the rate of phone production per hour. The manufacturer produces 990 phones in 22 hours.

    To find the hourly production rate, we divide the total number of phones by the total number of hours:
    \[ \text{Hourly production rate} = \frac{990 \text{ phones}}{22 \text{ hours}} = 45 \text{ phones per hour} \]

    Next, we calculate the number of phones produced in 33 hours:
    \[ \text{Phones produced in 33 hours} = 45 \text{ phones/hour} \times 33 \text{ hours} = 1485 \text{ phones} \]

    After 33 hours, an additional 13 phones are added to the production batch:
    \[ \text{Total phones produced} = 1485 \text{ phones} + 13 \text{ phones} = 1498 \text{ phones} \]

    ### Answer: 1498

Expected answer: 1498

Correct? Yes

🔗 Follow-up

Problem: In our previous scenario, instead of adding 13 phones, suppose the phone manufacturer adds an additional 80 phones after producing phones for 33 hours. How many phones are produced in total at this time now?

Gemma 2B:

    First, we need to determine the rate of phone production per hour. The manufacturer produces 990 phones in 22 hours.

    To find the hourly production rate, we divide the total number of phones by the total number of hours:
    \[ \text{Hourly production rate} = \frac{990 \text{ phones}}{22 \text{ hours}} = 45 \text{ phones per hour} \]

    Next, we calculate the number of phones produced in 33 hours:
    \[ \text{Phones produced in 33 hours} = 45 \text{ phones/hour} \times 33 \text{ hours} = 1485 \text{ phones} \]

    After 33 hours, an additional 80 phones are added to the production batch:
    \[ \text{Total phones produced} = 1485 \text{ phones} + 80 \text{ phones} = 1565 \text{ phones} \]

    ### Answer: 1565

Expected answer: 1565

Correct? Yes

🔗 Problem

Problem: A tall building has 704 windows in total. If each floor has the same number of windows and the building is 8 floors high, how many windows are there on each floor?

Gemma 2B:

    To determine the number of windows on each floor, we need to divide the total number of windows by the number of floors.

    Given:
    - Total number of windows = 704
    - Number of floors = 8

    We perform the division:
    \[ \frac{704}{8} = 88 \]

    So, there are 88 windows on each floor.

    ### Answer: 88

Expected answer: 88

Correct? Yes

🔗 Follow-up

Problem: After figuring out the total number of windows the maintenance team cleaned in a day, let's consider a different scenario. What if the building had originally been built with 704 windows spread over 71 floors instead of 8? How many windows would there be on each floor then?

Gemma 2B:

    To determine the number of windows on each floor, we need to divide the total number of windows by the number of floors.

    Given:
    - Total number of windows = 704
    - Number of floors = 71

    We perform the division:
    \[ \frac{704}{71} \approx 9.91 \]

    Since the number of windows must be a whole number, this suggests that the windows cannot be evenly distributed across 71 floors. However, if we are to consider the exact division:

    \[ \frac{704}{71} \approx 9.915492957746478 \]

    This means that on average, there would be approximately 9.91 windows per floor, but in practical terms, the distribution would need to be adjusted to whole numbers.

    ### Answer: 9.91 (approximately)

Expected answer: 704/71

Correct? No

🔗 Problem

Problem: In a small town, each household owns an average of 77 cats. If there are 69 households in the town, how many cats are there in total?

Gemma 2B:

    To find the total number of cats in the town, we need to multiply the average number of cats per household by the number of households.

    Given:
    - Average number of cats per household = 77
    - Number of households = 69

    Total number of cats = Average number of cats per household × Number of households
    Total number of cats = 77 × 69

    Now, let's perform the multiplication:

    77 × 69 = 77 × (70 - 1)
             = 77 × 70 - 77 × 1
             = 5390 - 77
             = 5313

    ### Answer: 5313

Expected answer: 5313

Correct? Yes

🔗 Follow-up

Problem: In a small town, each household owns an average of 77 cats. If there are 69 households in the town, there would be a certain number of cats in total. However, due to some circumstances, 91 of these cats had to be moved to another town. How many cats are left in the town now?

Gemma 2B:

    First, we need to calculate the total number of cats in the town before any were moved. This is done by multiplying the average number of cats per household by the number of households.

    Given:
    - Average number of cats per household = 77
    - Number of households = 69

    Total number of cats = 77 × 69

    We already calculated this in the previous problem:
    77 × 69 = 5313

    Next, we subtract the number of cats that were moved to another town.

    Number of cats moved = 91

    Number of cats left = Total number of cats - Number of cats moved
    Number of cats left = 5313 - 91
    Number of cats left = 5222

    ### Answer: 5222

Expected answer: 5222

Correct? Yes

🔗 Problem

Problem: A chocolate bar factory has 28 machines running every day. If 2 machines break down and stop producing, how many machines are still producing chocolate bars?

Gemma 2B:

    To determine how many machines are still producing chocolate bars, we start with the total number of machines and subtract the number of machines that have broken down.

    Total machines: 28
    Machines that broke down: 2

    Now, subtract the broken machines from the total machines:
    \[ 28 - 2 = 26 \]

    ### Answer: 26

Expected answer: 26

Correct? Yes

🔗 Follow-up

Problem: Originally, the chocolate bar factory had 87 machines running every day instead of 28. If 2 of the machines break down, as it happened in the previous scenario, how many machines would still be producing chocolate bars?

Gemma 2B:

    To determine how many machines are still producing chocolate bars, we start with the original total number of machines and subtract the number of machines that have broken down.

    Original total machines: 87
    Machines that broke down: 2

    Now, subtract the broken machines from the total machines:
    \[ 87 - 2 = 85 \]

    ### Answer: 85

Expected answer: 85

Correct? Yes

🔗 Problem

Problem: A candlemaker has 37 lavender-scented candles and makes 10 more. He then makes another 24 candles, combines them with the ones he already has, and finally adds 6 vanilla-scented candles to his collection. How many candles does he have in total?

Gemma 2B:

    Let's break down the problem step by step:

    1. The candlemaker starts with 37 lavender-scented candles.
    2. He makes 10 more lavender-scented candles. So, the total number of lavender-scented candles now is:
       \[
       37 + 10 = 47
       \]
    3. He then makes another 24 lavender-scented candles. Adding these to the existing candles, we get:
       \[
       47 + 24 = 71
       \]
    4. Finally, he adds 6 vanilla-scented candles to his collection. So, the total number of candles now is:
       \[
       71 + 6 = 77
       \]

    ### Answer: 77

Expected answer: 77

Correct? Yes

🔗 Follow-up

Problem: After creating and combining his different candle types, the candlemaker's friend gifted him an additional 7 candles they made. Now, how many candles does the candlemaker have in total?

Gemma 2B:

    We previously calculated that the candlemaker had a total of 77 candles. Now, his friend gifted him an additional 7 candles. To find the new total, we add these 7 candles to the existing 77 candles:

    \[
    77 + 7 = 84
    \]

    ### Answer: 84

Expected answer: 84

Correct? Yes

🔗 Follow-up

Problem: The candlemaker originally thought he had made 6 vanilla-scented candles, but he actually made 8 instead. Given this correction, with everything else the same, how many candles does the candlemaker have in total now?

Gemma 2B:

    Let's adjust the final calculation based on the corrected number of vanilla-scented candles:

    1. The candlemaker starts with 37 lavender-scented candles.
    2. He makes 10 more lavender-scented candles. So, the total number of lavender-scented candles now is:
       \[
       37 + 10 = 47
       \]
    3. He then makes another 24 lavender-scented candles. Adding these to the existing candles, we get:
       \[
       47 + 24 = 71
       \]
    4. Initially, he thought he added 6 vanilla-scented candles, but he actually added 8. So, the total number of candles now is:
       \[
       71 + 8 = 79
       \]

    ### Answer: 79

Expected answer: 79

Correct? Yes

🔗 Problem

Problem: What is the result of adding the numbers 12, 4, and 71 together?

Gemma 2B:

    To find the result of adding the numbers 12, 4, and 71 together, we perform the following addition:

    \[ 12 + 4 + 71 \]

    First, add 12 and 4:

    \[ 12 + 4 = 16 \]

    Next, add the result to 71:

    \[ 16 + 71 = 87 \]

    ### Answer: 87

Expected answer: 87

Correct? Yes

🔗 Follow-up

Problem: After finding the sum of 12, 4, and 71, add 15 to the result. What is the new total?

Gemma 2B:

    We already found that the sum of 12, 4, and 71 is 87. Now, we need to add 15 to this result:

    \[ 87 + 15 \]

    Perform the addition:

    \[ 87 + 15 = 102 \]

    ### Answer: 102

Expected answer: 102

Correct? Yes

🔗 Follow-up

Problem: Imagine that initially instead of 12, you started with 53. Now, what would be the result of adding the numbers 53, 4, and 71 together?

Gemma 2B:

    To find the result of adding the numbers 53, 4, and 71 together, we perform the following addition:

    \[ 53 + 4 + 71 \]

    First, add 53 and 4:

    \[ 53 + 4 = 57 \]

    Next, add the result to 71:

    \[ 57 + 71 = 128 \]

    ### Answer: 128

Expected answer: 128

Correct? Yes

🔗 Problem

Problem: John's cucumber plant produces 59 cucumbers. Mary's cucumber plant, on the other hand, produces as many cucumbers as John's but minus the difference between John's cucumbers and 9. How many cucumbers did Mary's plant produce?

Gemma 2B:

    To determine how many cucumbers Mary's plant produced, we first need to calculate the difference between the number of cucumbers John's plant produced and 9.

    John's cucumbers: 59
    Difference between John's cucumbers and 9: \( 59 - 9 = 50 \)

    Mary's plant produces as many cucumbers as John's but minus this difference:
    Mary's cucumbers: \( 59 - 50 = 9 \)

    ### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Follow-up

Problem: Following up on the previous situation, suppose Sarah takes Mary's cucumber count and adds to it the sum of 54 and 3 cucumbers that she already had before. How many cucumbers does Sarah have now?

Gemma 2B:

    First, we know from the previous problem that Mary's cucumber count is 9.

    Next, we need to calculate the sum of 54 and 3:
    \[ 54 + 3 = 57 \]

    Sarah takes Mary's cucumber count and adds it to this sum:
    \[ 9 + 57 = 66 \]

    ### Answer: 66

Expected answer: 66

Correct? Yes

🔗 Follow-up

Problem: Following up on the previous situation with John and Mary, suppose now that Mary's cucumber plant produces as many cucumbers as John's but minus the difference between John's cucumbers and 73. How many cucumbers did Mary's plant produce this time?

Gemma 2B:

    To determine how many cucumbers Mary's plant produced this time, we first need to calculate the difference between the number of cucumbers John's plant produced and 73.

    John's cucumbers: 59
    Difference between John's cucumbers and 73: \( 59 - 73 = -14 \)

    Mary's plant produces as many cucumbers as John's but minus this difference:
    Mary's cucumbers: \( 59 - (-14) = 59 + 14 = 73 \)

    ### Answer: 73

Expected answer: 73

Correct? Yes

🔗 Problem

Problem: A puzzle game requires 3795 points to complete a level, but a player can only gain points in increments of 69. How many increments are needed to gain the points required to complete the level?

Gemma 2B:

    To determine how many increments of 69 points are needed to reach or exceed 3795 points, we need to divide 3795 by 69 and then round up to the nearest whole number, since any fraction of an increment would still require a full increment to complete the level.

    First, we perform the division:
    \[ \frac{3795}{69} \approx 55 \]

    To verify:
    \[ 69 \times 55 = 3795 \]

    Since 3795 is exactly divisible by 69, no rounding up is necessary.

    ### Answer: 55

Expected answer: 55

Correct? Yes

🔗 Follow-up

Problem: In the same puzzle game, consider that to complete a level, a player now requires 3795 points but the points are gained in increments of 19 instead of 69. How many increments of 19 points are now needed to gather the required points to complete the level?

Gemma 2B:

    To determine how many increments of 19 points are needed to reach or exceed 3795 points, we need to divide 3795 by 19 and then round up to the nearest whole number, since any fraction of an increment would still require a full increment to complete the level.

    First, we perform the division:
    \[ \frac{3795}{19} \approx 199.7368 \]

    Since we need a whole number of increments, we round up to the nearest whole number:
    \[ \lceil 199.7368 \rceil = 200 \]

    To verify:
    \[ 19 \times 200 = 3800 \]

    Since 3800 is greater than 3795, 200 increments are sufficient to complete the level.

    ### Answer: 200

Expected answer: 3795/19

Correct? No

🔗 Problem

Problem: A pirate found a treasure chest with 35 gemstones each worth 57 gold coins. The chest also had an additional 42 gold coins. How many gold coins is the total worth of the treasure chest?

Gemma 2B:

    To determine the total worth of the treasure chest, we need to calculate the value of the gemstones and then add the additional gold coins.

    First, we calculate the value of the 35 gemstones. Each gemstone is worth 57 gold coins, so we multiply:
    \[ 35 \times 57 \]

    We can break this multiplication into simpler steps:
    \[ 35 \times 57 = 35 \times (50 + 7) \]
    \[ = 35 \times 50 + 35 \times 7 \]

    Now, calculate each part:
    \[ 35 \times 50 = 1750 \]
    \[ 35 \times 7 = 245 \]

    Add these two results together:
    \[ 1750 + 245 = 1995 \]

    So, the total value of the gemstones is 1995 gold coins.

    Next, we add the additional 42 gold coins found in the chest:
    \[ 1995 + 42 = 2037 \]

    Therefore, the total worth of the treasure chest is:
    ### Answer: 2037

Expected answer: 2037

Correct? Yes

🔗 Follow-up

Problem: Suppose the pirate initially found a smaller chest with only 6 gemstones, each still worth 57 gold coins, along with an additional 42 gold coins. How many gold coins would be the total worth of this smaller chest?

Gemma 2B:

    To determine the total worth of the smaller chest, we need to calculate the value of the 6 gemstones and then add the additional 42 gold coins.

    First, we calculate the value of the 6 gemstones. Each gemstone is worth 57 gold coins, so we multiply:
    \[ 6 \times 57 \]

    We can break this multiplication into simpler steps:
    \[ 6 \times 57 = 6 \times (50 + 7) \]
    \[ = 6 \times 50 + 6 \times 7 \]

    Now, calculate each part:
    \[ 6 \times 50 = 300 \]
    \[ 6 \times 7 = 42 \]

    Add these two results together:
    \[ 300 + 42 = 342 \]

    So, the total value of the gemstones is 342 gold coins.

    Next, we add the additional 42 gold coins found in the chest:
    \[ 342 + 42 = 384 \]

    Therefore, the total worth of the smaller chest is:
    ### Answer: 384

Expected answer: 384

Correct? Yes

🔗 Problem

Problem: A pet store has 35 white mice, 86 brown mice, and 39 black mice. How many mice does the store have in total?

Gemma 2B:

    To find the total number of mice in the pet store, we need to add the number of white mice, brown mice, and black mice together.

    First, we add the number of white mice and brown mice:
    \[ 35 + 86 = 121 \]

    Next, we add the number of black mice to the previous total:
    \[ 121 + 39 = 160 \]

    Therefore, the total number of mice in the pet store is 160.

    ### Answer: 160

Expected answer: 160

Correct? Yes

🔗 Follow-up

Problem: If the pet store decides to double its quantity of each species of mouse – the white mice, brown mice, and black mice, how many mice will the store have then?

Gemma 2B:

    To determine the new total number of mice after doubling the quantity of each species, we first need to calculate the doubled quantities for each type of mouse.

    1. Double the number of white mice:
    \[ 35 \times 2 = 70 \]

    2. Double the number of brown mice:
    \[ 86 \times 2 = 172 \]

    3. Double the number of black mice:
    \[ 39 \times 2 = 78 \]

    Next, we add these doubled quantities together to find the new total number of mice:
    \[ 70 + 172 + 78 = 320 \]

    Therefore, after doubling the quantity of each species of mouse, the pet store will have 320 mice.

    ### Answer: 320

Expected answer: 320

Correct? Yes

🔗 Follow-up

Problem: If the pet store actually had 31 black mice instead of 39 black mice along with the 35 white mice and 86 brown mice, how many mice in total would the pet store then have?

Gemma 2B:

    To find the new total number of mice in the pet store, we need to add the number of white mice, brown mice, and the updated number of black mice together.

    First, we add the number of white mice and brown mice:
    \[ 35 + 86 = 121 \]

    Next, we add the updated number of black mice to the previous total:
    \[ 121 + 31 = 152 \]

    Therefore, with 31 black mice, the total number of mice in the pet store would be 152.

    ### Answer: 152

Expected answer: 152

Correct? Yes

🔗 Problem

Problem: A soap making factory produces 97 bars of soap in one batch. If they made 94 batches in one day, how many bars of soap did they produce that day?

Gemma 2B:

    To determine the total number of bars of soap produced in one day, we need to multiply the number of bars of soap produced in one batch by the number of batches made in that day.

    Given:
    - Number of bars of soap in one batch = 97
    - Number of batches made in one day = 94

    We calculate the total production as follows:
    \[ 97 \text{ bars/batch} \times 94 \text{ batches} = 9118 \text{ bars} \]

    ### Answer: 9118

Expected answer: 9118

Correct? Yes

🔗 Follow-up

Problem: The soap factory realized that instead of producing 97 bars of soap per batch, they had actually been producing only 43 bars per batch due to a measuring error. Given this new information, how many bars of soap were actually produced over the 94 batches made on the first day?

Gemma 2B:

    To determine the actual number of bars of soap produced given the new information, we need to multiply the corrected number of bars of soap per batch by the number of batches made in that day.

    Given:
    - Corrected number of bars of soap in one batch = 43
    - Number of batches made in one day = 94

    We calculate the total production as follows:
    \[ 43 \text{ bars/batch} \times 94 \text{ batches} = 4042 \text{ bars} \]

    ### Answer: 4042

Expected answer: 4042

Correct? Yes

🔗 Problem

Problem: A toy factory produces 5 toy cars every minute. After 76 minutes, they add another batch of 49 toy cars. How many toy cars does the factory have now?

Gemma 2B:

    First, we need to determine how many toy cars the factory produces in 76 minutes. Since the factory produces 5 toy cars every minute, we can calculate this by multiplying the number of minutes by the number of toy cars produced per minute:

    \[ 76 \text{ minutes} \times 5 \text{ toy cars per minute} = 380 \text{ toy cars} \]

    Next, we add the additional batch of 49 toy cars to the total produced in 76 minutes:

    \[ 380 \text{ toy cars} + 49 \text{ toy cars} = 429 \text{ toy cars} \]

    ### Answer: 429

Expected answer: 429

Correct? Yes

🔗 Follow-up

Problem: After reviewing the production data, the toy car factory realized there was a mistake in their calculation. They actually produce only 4 toy cars every minute instead of 5. If they continue to produce for 76 minutes and add another batch of 49 toy cars as before, how many toy cars will the factory have now?

Gemma 2B:

    First, we need to determine how many toy cars the factory produces in 76 minutes with the corrected production rate of 4 toy cars per minute. We can calculate this by multiplying the number of minutes by the number of toy cars produced per minute:

    \[ 76 \text{ minutes} \times 4 \text{ toy cars per minute} = 304 \text{ toy cars} \]

    Next, we add the additional batch of 49 toy cars to the total produced in 76 minutes:

    \[ 304 \text{ toy cars} + 49 \text{ toy cars} = 353 \text{ toy cars} \]

    ### Answer: 353

Expected answer: 353

Correct? Yes

🔗 Problem

Problem: A piece of farmland spans across 9 km. The owner decided to expand his property by 77 km. However, he had to return 71 km due to some legal issues. How many km does the farmer have left after his expansion and subsequent decrease?

Gemma 2B:

    Let's break down the problem step by step:

    1. The initial size of the farmland is 9 km.
    2. The owner expanded the property by 77 km. So, the new size of the farmland is:
       \[
       9 \text{ km} + 77 \text{ km} = 86 \text{ km}
       \]
    3. The owner had to return 71 km due to legal issues. Therefore, the final size of the farmland is:
       \[
       86 \text{ km} - 71 \text{ km} = 15 \text{ km}
       \]

    ### Answer: 15 km

Expected answer: 15

Correct? Yes

🔗 Follow-up

Problem: In a similar situation, another farmer currently owns 25 km of farmland. They also decided to expand by 77 km, but like the previous farmer, had to give back 71 km due to legal issues. How many kilometers does this second farmer have left after this expansion and subsequent decrease?

Gemma 2B:

    Let's break down the problem step by step:

    1. The initial size of the second farmer's farmland is 25 km.
    2. The farmer expanded the property by 77 km. So, the new size of the farmland is:
       \[
       25 \text{ km} + 77 \text{ km} = 102 \text{ km}
       \]
    3. The farmer had to return 71 km due to legal issues. Therefore, the final size of the farmland is:
       \[
       102 \text{ km} - 71 \text{ km} = 31 \text{ km}
       \]

    ### Answer: 31 km

Expected answer: 31

Correct? Yes

🔗 Problem

Problem: A paint company is preparing 8930 liters of a specific color. If they can fill up a paint bucket with 95 liters of paint, how many buckets will they be able to fill up completely?

Gemma 2B:

    To determine how many buckets can be completely filled, we need to divide the total amount of paint by the capacity of each bucket.

    First, we perform the division:
    \[ \frac{8930}{95} \]

    Let's do the division step-by-step:

    1. Divide 8930 by 95:
    \[ 8930 \div 95 = 94 \]

    So, 8930 liters divided by 95 liters per bucket equals 94 buckets.

    ### Answer: 94

Expected answer: 94

Correct? Yes

🔗 Follow-up

Problem: A paint company is preparing 8930 liters of a specific color. If they can fill up a paint bucket with 95 liters of paint, how many buckets will they be able to fill up completely? After the initial sales, the company realized they were missing 73 paint buckets. But soon they found 59 buckets in the warehouse. After adding these found buckets, how many buckets does the company have in total now?

Gemma 2B:

    First, let's determine how many buckets can be completely filled with 8930 liters of paint, given that each bucket holds 95 liters.

    We perform the division:
    \[ \frac{8930}{95} \]

    Let's do the division step-by-step:
    \[ 8930 \div 95 = 94 \]

    So, the company can fill 94 buckets completely.

    Next, we need to account for the missing and found buckets. Initially, the company realized they were missing 73 buckets. Then, they found 59 of those missing buckets.

    To find the total number of buckets they have now, we subtract the missing buckets and then add the found buckets:
    \[ 94 - 73 + 59 \]

    First, subtract the missing buckets:
    \[ 94 - 73 = 21 \]

    Then, add the found buckets:
    \[ 21 + 59 = 80 \]

    ### Answer: 80

Expected answer: 80

Correct? Yes

🔗 Problem

Problem: A bubble machine can make 3654 bubbles with 87 ounces of bubble fluid. How many bubbles can it make with 1 ounce of bubble fluid?

Gemma 2B:

    To determine how many bubbles the machine can make with 1 ounce of bubble fluid, we need to divide the total number of bubbles by the total number of ounces of bubble fluid.

    Given:
    - Total bubbles: 3654
    - Total ounces of bubble fluid: 87

    We perform the division:
    \[ \frac{3654}{87} \]

    First, let's simplify the division step-by-step:

    1. 3654 divided by 87:
    \[ 3654 \div 87 = 42 \]

    So, the machine can make 42 bubbles with 1 ounce of bubble fluid.

    ### Answer: 42

Expected answer: 42

Correct? Yes

🔗 Follow-up

Problem: Suppose the bubble machine was actually more efficient and could produce 3654 bubbles with just 47 ounces of bubble fluid. With this rate, how many bubbles can it make with 1 ounce of bubble fluid?

Gemma 2B:

    To determine how many bubbles the machine can make with 1 ounce of bubble fluid, we need to divide the total number of bubbles by the total number of ounces of bubble fluid.

    Given:
    - Total bubbles: 3654
    - Total ounces of bubble fluid: 47

    We perform the division:
    \[ \frac{3654}{47} \]

    First, let's simplify the division step-by-step:

    1. 3654 divided by 47:
    \[ 3654 \div 47 = 77.74 \]

    So, the machine can make approximately 77.74 bubbles with 1 ounce of bubble fluid.

    ### Answer: 77.74

Expected answer: 3654/47

Correct? No

🔗 Problem

Problem: A juice bar uses 13 apples to make a jug of apple juice. If they made 30 jugs in one day, how many apples did they use?

Gemma 2B:

    To determine the total number of apples used, we need to multiply the number of jugs by the number of apples required per jug.

    Given:
    - Number of apples per jug = 13
    - Number of jugs made = 30

    Calculation:
    \[ 13 \text{ apples/jug} \times 30 \text{ jugs} = 390 \text{ apples} \]

    ### Answer: 390

Expected answer: 390

Correct? Yes

🔗 Follow-up

Problem: Considering the previous scenario, if instead of using 13 apples daily for the fruit salads, they started using 55 apples, how many apples did they use in total when they made fruit salads for 30 days?

Gemma 2B:

    To determine the total number of apples used for fruit salads over 30 days, we need to multiply the number of apples used daily by the number of days.

    Given:
    - Number of apples used daily = 55
    - Number of days = 30

    Calculation:
    \[ 55 \text{ apples/day} \times 30 \text{ days} = 1650 \text{ apples} \]

    ### Answer: 1650

Expected answer: 1650

Correct? Yes

🔗 Problem

Problem: A certain dinosaur species laid eggs every 60 minutes. If they had been laying eggs for 1620 minutes straight, how many total eggs would they have laid?

Gemma 2B:

    To determine how many eggs the dinosaur species laid, we need to find out how many 60-minute intervals fit into 1620 minutes.

    First, we divide 1620 by 60:
    \[ \frac{1620}{60} = 27 \]

    This means that there are 27 intervals of 60 minutes in 1620 minutes. Since the dinosaur species laid eggs every 60 minutes, they would have laid eggs 27 times.

    ### Answer: 27

Expected answer: 27

Correct? Yes

🔗 Follow-up

Problem: Following the previous scenario, suppose the paleontologists revised their calculations and found that the dinosaur species was actually laying eggs every 47 minutes, not 60 as originally thought. In that case, how many total eggs would the dinosaur have laid if it had been laying eggs for 1620 minutes straight?

Gemma 2B:

    To determine how many eggs the dinosaur species laid with the revised interval of 47 minutes, we need to find out how many 47-minute intervals fit into 1620 minutes.

    First, we divide 1620 by 47:
    \[ \frac{1620}{47} \approx 34.47 \]

    Since the dinosaur can only lay eggs at the end of each full 47-minute interval, we take the integer part of the division result:
    \[ \lfloor 34.47 \rfloor = 34 \]

    This means that there are 34 complete intervals of 47 minutes in 1620 minutes. Therefore, the dinosaur species would have laid eggs 34 times.

    ### Answer: 34

Expected answer: 1620/47

Correct? No

🔗 Problem

Problem: A library received a shipment of new books. There were 55 romance novels, 43 mystery novels, and 67 science fiction novels. How many new books did the library receive?

Gemma 2B:

    To find the total number of new books the library received, we need to add the number of romance novels, mystery novels, and science fiction novels together.

    First, we add the number of romance novels and mystery novels:
    \[ 55 + 43 = 98 \]

    Next, we add the number of science fiction novels to the previous total:
    \[ 98 + 67 = 165 \]

    Therefore, the total number of new books the library received is 165.

    ### Answer: 165

Expected answer: 165

Correct? Yes

🔗 Follow-up

Problem: In the original shipment to the library, suppose there were 95 science fiction novels instead of 67. With the 55 romance novels and 43 mystery novels remaining the same, how many new books did the library receive now?

Gemma 2B:

    To find the total number of new books the library received with the updated number of science fiction novels, we need to add the number of romance novels, mystery novels, and the new number of science fiction novels together.

    First, we add the number of romance novels and mystery novels:
    \[ 55 + 43 = 98 \]

    Next, we add the updated number of science fiction novels to the previous total:
    \[ 98 + 95 = 193 \]

    Therefore, the total number of new books the library received with the updated shipment is 193.

    ### Answer: 193

Expected answer: 193

Correct? Yes

🔗 Problem

Problem: On a particular beach, there is a tendency for 74 seashells to appear every day. After 42 days of collection, a beachcomber also discovered an additional 56 seashells that had been hidden in the sand. How many seashells did the beachcomber have in total after 42 days?

Gemma 2B:

    To determine the total number of seashells the beachcomber collected, we need to calculate the number of seashells that appeared over the 42 days and then add the additional seashells found.

    First, calculate the number of seashells that appeared over 42 days:
    \[ 74 \text{ seashells/day} \times 42 \text{ days} = 3108 \text{ seashells} \]

    Next, add the additional 56 seashells that were discovered:
    \[ 3108 \text{ seashells} + 56 \text{ seashells} = 3164 \text{ seashells} \]

    ### Answer: 3164

Expected answer: 3164

Correct? Yes

🔗 Follow-up

Problem: Building on our beachcomber's tale, after counting his 42-day collection of seashells, he accidentally loses one seashell down a seaside crevice. Disappointed but not defeated, he decides to collect 32 more seashells the next day. How many seashells does he have in total after adding the new batch and accounting for the lost seashell?

Gemma 2B:

    To determine the total number of seashells the beachcomber has after losing one and then collecting more, we start with the total number of seashells he had before the loss and additional collection.

    From the previous calculation, the beachcomber had:
    \[ 3164 \text{ seashells} \]

    He loses one seashell:
    \[ 3164 \text{ seashells} - 1 \text{ seashell} = 3163 \text{ seashells} \]

    Then, he collects 32 more seashells:
    \[ 3163 \text{ seashells} + 32 \text{ seashells} = 3195 \text{ seashells} \]

    ### Answer: 3195

Expected answer: 3195

Correct? Yes

🔗 Follow-up

Problem: Let's revisit our beachcomber. After reconsidering his collection habit, he realizes he has been actually collecting an average of 89 seashells per day instead of 74, over the same 42 day period. He still found that additional 56 seashells hidden in the sand. Now, how many seashells does he have in total after 42 days?

Gemma 2B:

    To determine the total number of seashells the beachcomber collected with the updated average, we need to calculate the number of seashells that appeared over the 42 days and then add the additional seashells found.

    First, calculate the number of seashells that appeared over 42 days with the new average:
    \[ 89 \text{ seashells/day} \times 42 \text{ days} = 3738 \text{ seashells} \]

    Next, add the additional 56 seashells that were discovered:
    \[ 3738 \text{ seashells} + 56 \text{ seashells} = 3794 \text{ seashells} \]

    ### Answer: 3794

Expected answer: 3794

Correct? Yes