Problem: If the school bus had instead driven 6100 miles over the same 52 weeks, how many miles would the bus have driven on average each week?

Llama 3 8B:

Reasoning: To find the average miles driven per week, we need to divide the total miles driven (6100) by the number of weeks (52).

6100 ÷ 52 = 117.31

### Answer: 117.31

Expected answer: 1525/13

Correct? No

Problem: If the astronaut's mission got extended to 124 days instead of 90, and he still used a total of 3870 liters of oxygen, how much oxygen did he use daily?

Llama 3 8B:

Reasoning: The total amount of oxygen consumed remains the same, which is 3870 liters. However, the duration of the mission has increased from 90 days to 124 days.

To find out how much oxygen he uses daily, we need to divide the total amount of oxygen consumed by the new number of days in the mission.

3870 liters (total oxygen consumed) ÷ 124 days (new duration of the mission) = 31.3 liters/day

### Answer: 31.3 liters/day

Expected answer: 1935/62

Correct? No

Problem: Instead of 50 eggs, a dinosaur lays 2603 eggs and distributes them evenly into 10 nests. How many eggs are there in each nest now?

Llama 3 8B:

Reasoning: Since the dinosaur lays 2603 eggs and distributes them evenly into 10 nests, we can divide the total number of eggs (2603) by the number of nests (10) to find the number of eggs in each nest.

2603 ÷ 10 = 260.3

So, there are 260 eggs in each nest.

### Answer: 260

Expected answer: 2603/10

Correct? No

Problem: The family, after reviewing their stock, realized that they actually have 4581 towels to donate instead of 455. If they still plan to donate equal amounts for 5 days, how many towels will they donate each day now?

Llama 3 8B:

Reasoning: The family now has 4581 towels to donate, and they still plan to donate an equal amount each day for 5 days. To find out how many towels they will donate each day, we can divide the new total number of towels by the number of days.

4581 ÷ 5 = 916.2

Since we can't donate a fraction of a towel, we'll round down to the nearest whole number.

916.2 → 916

So, the family will donate 916 towels each day.

### Answer: 916

Expected answer: 4581/5

Correct? No

Problem: Following the field trip, the school finds out that they will now be taking 4570 students for the next excursion. If each bus can still only carry 11 students, how many buses will the school need to hire for this next field trip?

Llama 3 8B:

Reasoning: To find the number of buses needed, we need to divide the total number of students (4570) by the number of students each bus can carry (11).

4570 ÷ 11 = 415.45

Since you can't hire a fraction of a bus, we round up to the nearest whole number to ensure that all students can be accommodated.

415.45 → 416

So, the school needs to hire 416 buses for the next field trip.

### Answer: 416

Expected answer: 4570/11

Correct? No

Problem: Let's now consider a different bed sheet manufacturer who manages to produce a total of 7208 bed sheets in the same 28-day period. If they also produced the same number of sheets every day, how many bed sheets are manufactured each day in this case?

Llama 3 8B:

Reasoning: The manufacturer produces the same number of sheets every day, so we can divide the total number of sheets produced (7208) by the number of days (28) to find the number of sheets produced per day.

7208 ÷ 28 = 258

### Answer: 258

Expected answer: 1802/7

Correct? No

Problem: The manufacturer changes the production procedure and now it can only produce 2301 pounds of dog food in a day, while maintaining the same number of bags which is 50. How many pounds of food does each bag contain now?

Llama 3 8B:

Reasoning: The total amount of food produced has decreased to 2301 pounds, but the number of bags remains the same (50). To find the number of pounds of food in each bag, we need to divide the new total amount of food produced by the number of bags.

2301 pounds ÷ 50 bags = 46 pounds per bag

### Answer: 46

Expected answer: 2301/50

Correct? No

Problem: If instead of 1426 grapes, the vineyard harvested 4830 grapes and still wanted to distribute them evenly among the 62 boxes, how many grapes would now be in each box?

Llama 3 8B:

Reasoning: To find the number of grapes in each box, we need to divide the new total number of grapes (4830) by the number of boxes (62).

4830 ÷ 62 = 78

### Answer: 78

Expected answer: 2415/31

Correct? No

Problem: The scientists then study a different area of seafloor and find 833 starfish distributed evenly over the same 72 square feet. How many starfish are there in each square foot of this different seafloor area?

Llama 3 8B:

Reasoning: Since the area is the same (72 square feet), we can divide the total number of starfish (833) by the same area (72 square feet) to find the number of starfish in each square foot.

833 ÷ 72 = 11.57

So, there are approximately 11.57 starfish in each square foot of this different seafloor area.

### Answer: 11.57

Expected answer: 833/72

Correct? No

Problem: The child then finds another huge stash of toy trucks totalling 2925. He continues to distribute them evenly among his 18 stuffed animals. How many additional toy trucks does each stuffed animal get now?

Llama 3 8B:

Reasoning: The child already distributed 36 toy trucks evenly among his 18 stuffed animals, so each stuffed animal got 2 toy trucks initially.

Now, he has 2925 additional toy trucks to distribute. To find out how many toy trucks each stuffed animal gets, we need to divide the total number of additional toy trucks (2925) by the number of stuffed animals (18).

2925 ÷ 18 = 162.5

Since we can't divide toy trucks into fractions, we'll round down to the nearest whole number. Each stuffed animal gets 162 additional toy trucks.

### Answer: 162

Expected answer: 325/2

Correct? No

Problem: Now consider a larger city that is spread across 3698 blocks. It is also monitored by 30 police officers. How many blocks would each officer be responsible for in this larger city?

Llama 3 8B:

Reasoning: The city is still divided evenly among 30 officers, so we can divide the total number of blocks (3698) by the number of officers (30) to find out how many blocks each officer is responsible for.

3698 ÷ 30 = 123.27

### Answer: 123

Expected answer: 1849/15

Correct? No

Problem: If the enchanted forest had originally contained 2842 unicorns evenly distributed among the 87 meadows instead of 7917, how many unicorns would there be in each meadow?

Llama 3 8B:

Reasoning: To find the number of unicorns in each meadow, we can divide the total number of unicorns (2842) by the number of meadows (87).

2842 ÷ 87 = 32.5

Since you can't have a fraction of a unicorn, we round down to the nearest whole number.

32.5 → 32

So, there would be 32 unicorns in each meadow.

### Answer: 32

Expected answer: 98/3

Correct? No

Problem: Suppose instead, the river was longer and flowed 3767 kilometers through the same country, passing through the same 82 cities along its course. If the river's length is evenly distributed among these cities under this new scenario, how many kilometers of the river's length would there be within each city?

Llama 3 8B:

Reasoning: To find the length of the river within each city, we need to divide the total length of the river (3767 km) by the number of cities (82).

3767 km ÷ 82 = 46 km

So, there would be 46 km of the river's length within each city under this new scenario.

### Answer: 46

Expected answer: 3767/82

Correct? No

Problem: The sunglasses manufacturer actually made a total of 7712 sunglasses across the same 69 production runs. If every run now produced an equal number of sunglasses, how many sunglasses would be made in each run?

Llama 3 8B:

Reasoning: Let's say the number of sunglasses produced in each run is x. Since there are 69 runs, the total number of sunglasses produced is 69x. We know that the total number of sunglasses produced is 7712, so we can set up the equation:

69x = 7712

To solve for x, we can divide both sides of the equation by 69:

x = 7712 ÷ 69
x = 112

So, each run produces 112 sunglasses.

### Answer: 112

Expected answer: 7712/69

Correct? No

Problem: If instead, the baby grows at an average rate of 392 grams in his first 25 days, what is now the average daily weight gain of the baby?

Llama 3 8B:

Reasoning: The baby gained 392 grams in 25 days. To find the average daily weight gain, we can divide the total weight gain by the number of days.

392 grams ÷ 25 days = 15.68 grams/day

### Answer: 15.68 grams/day

Expected answer: 392/25

Correct? No

Problem: Now suppose you are considering a much more expensive piano that has the same number of keys but costs $6906 in total. If each key contributes equally to the total cost, how much does each key on this piano cost?

Llama 3 8B:

Reasoning: Since each key contributes equally to the total cost of the piano, we can divide the total cost by the number of keys to find the cost of each key.

Total cost = 6906 dollars
Number of keys = 30

Cost of each key = Total cost ÷ Number of keys
= 6906 ÷ 30
= 230.2 dollars

### Answer: 230.2

Expected answer: 1151/5

Correct? Yes

Problem: Now consider this: instead of 1804 seashells, there are 9083 seashells evenly scattered across the same 41-meter stretch of beach sand. How many seashells would there be per meter now?

Llama 3 8B:

Reasoning: To find the number of seashells per meter, we need to divide the new total number of seashells (9083) by the same length of the stretch (41 meters).

9083 ÷ 41 = 221

### Answer: 221

Expected answer: 9083/41

Correct? No

Problem: Instead of 1311 minutes of total flight time, suppose the kite was flown for a total of 9051 minutes over the same duration of 23 days. How many minutes per day was the kite in the air now?

Llama 3 8B:

Reasoning: The kite is flown for a total of 9051 minutes over 23 days. To find the number of minutes the kite is flown per day, we can divide the total number of minutes by the number of days.

9051 minutes ÷ 23 days = 393 minutes

### Answer: 393

Expected answer: 9051/23

Correct? No

Problem: The farmer then realized she made a mistake in her count. She actually harvested 1021 kilograms of tomatoes from her 59 tomato plants instead of 2065 kilograms. Based on this new information, how many kilograms of tomatoes were produced by each plant on average now?

Llama 3 8B:

Reasoning: To find the average number of kilograms of tomatoes produced by each plant, we need to divide the total amount of tomatoes harvested (1021 kg) by the number of plants (59).

1021 kg ÷ 59 = 17.3 kg

### Answer: 17.3

Expected answer: 1021/59

Correct? No

Problem: Consider instead that the indoor mouse had the ability to travel a total distance of 4928 meters in a shorter time span of 3690 minutes. On average, how many meters does the mouse run in one minute now?

Llama 3 8B:

Reasoning: The mouse travels a total distance of 4928 meters in 3690 minutes. To find the average distance traveled per minute, we can divide the total distance by the number of minutes:

4928 meters / 3690 minutes = 1.34 meters per minute

### Answer: 1.34

Expected answer: 2464/1845

Correct? No

Problem: Suppose the kite now flies at a height of 5659 feet using the same 50-foot string. Now, how high is the kite flying per each foot of the used string?

Llama 3 8B:

Reasoning: The kite is flying at a height of 5659 feet, and the string is still 50 feet long. This means that for every foot of the string, the kite is flying 5659/50 = 113.18 feet high.
### Answer: 113.18

Expected answer: 5659/50

Correct? Yes

Problem: In the following year, the princess receives 4030 gifts for her birthday. She again decides to evenly distribute this larger amount of presents among her 50 close friends. How many gifts does each friend get in this year?

Llama 3 8B:

Reasoning: To find out how many gifts each friend receives, we need to divide the total number of gifts (4030) by the number of friends (50).

4030 ÷ 50 = 80.6

Since we can't give a fraction of a gift, we round down to the nearest whole number.

80.6 → 80

So, each friend receives 80 gifts in this year.

### Answer: 80

Expected answer: 403/5

Correct? No

Problem: Now, consider that throughout this year, you actually burned a total of 4264 logs, but over a shorter period of 3764 hours. How many logs did you burn on average each hour?

Llama 3 8B:

Reasoning: To find the average number of logs burned per hour, we need to divide the total number of logs burned (4264) by the total number of hours (3764).

4264 ÷ 3764 = 1.13

### Answer: 1.13

Expected answer: 1066/941

Correct? No

Problem: If instead, the UFO traveled the same distance of 1278 miles, but this time over a longer period of 218 minutes, what then would be the UFO's speed in miles per minute?

Llama 3 8B:

Reasoning: We know the distance traveled is the same (1278 miles), but the time taken is different (218 minutes). To find the UFO's speed, we need to divide the distance traveled by the new time taken.

First, we need to convert the time from minutes to hours. There are 60 minutes in an hour, so:

218 minutes = 218/60 = 3.63 hours

Now, we can calculate the UFO's speed:

Speed = Distance / Time = 1278 miles / 3.63 hours = 352 miles per hour

To find the speed in miles per minute, we can divide the speed in miles per hour by 60 (since there are 60 minutes in an hour):

352 miles per hour ÷ 60 = 5.87 miles per minute

### Answer: 5.87

Expected answer: 639/109

Correct? No

Problem: If instead, the snail traveled a total distance of 9521 cm over the same 35 days, how many centimeters would the snail travel daily?

Llama 3 8B:

Reasoning: The snail travels a total distance of 9521 cm in 35 days. To find the distance traveled daily, we can divide the total distance by the number of days.

9521 cm ÷ 35 days = 272.54 cm/day

### Answer: 272.54 cm/day

Expected answer: 9521/35

Correct? No

Problem: What if the beach resort decided to bring in more sand for the sandcastle-building competition and now they have 1120 pounds distributed among the same 80 competitor stations? Now, how much sand will there be at each station?

Llama 3 8B:

Reasoning: Since the total amount of sand has increased to 1120 pounds, we need to divide this new total by the same number of stations (80).

1120 ÷ 80 = ?

To divide 1120 by 80, we can divide 1120 by 10 first, which gives us 112, and then multiply the result by 8, which gives us:

112 × 8 = 896

So, we can subtract 896 from 1120 to find the remainder:

1120 - 896 = 224

Since we can't divide 224 by 80, we'll carry the remainder to the next calculation.

112 × 8 = 896
896 + 32 = 928

Now, we can divide 1120 by 80:

1120 ÷ 80 = 928

### Answer: 14

Expected answer: 14

Correct? Yes

Problem: After the jewellery store's successful sale, they decided to bring in a fresh shipment of 5311 new bracelets. If they distributed these new bracelets equally amongst the same 56 display cases as before, how many bracelets would be in each display case now?

Llama 3 8B:

Reasoning: First, we need to find the total number of bracelets after the new shipment:

2520 (initial bracelets) + 5311 (new shipment) = 7831

Now, we need to divide the total number of bracelets (7831) by the number of display cases (56):

7831 ÷ 56 = 139

So, each display case would now have 139 bracelets.

### Answer: 139

Expected answer: 5311/56

Correct? No

Problem: Now suppose that the tiger traveled a shorter distance of 2498 miles over the same period of 54 days. If the tiger still travelled an equal number of miles each day, how many miles would the tiger travel in one day now?

Llama 3 8B:

Reasoning: The total distance traveled by the tiger is 2498 miles. Since the tiger traveled an equal number of miles each day, we can divide the total distance by the number of days to find the distance traveled per day.

2498 miles (total distance) ÷ 54 days = 46 miles/day

### Answer: 46

Expected answer: 1249/27

Correct? No

Problem: The host now realized he miscalculated and actually baked 2460 cookies over 554 batches not 60. How many cookies are in each batch now?

Llama 3 8B:

Reasoning: To find the number of cookies in each batch, we can divide the total number of cookies (2460) by the new number of batches (554).

2460 ÷ 554 = 4.43

### Answer: 4.43

Expected answer: 1230/277

Correct? No

Problem: If instead of splitting 156 items, you had to divide a larger number of items, like 2347, into the same 6 groups, how many items would be in each group now?

Llama 3 8B:

Reasoning: To find the number of items in each group, we can divide 2347 by 6.

2347 ÷ 6 = 391.17

Since we can't have a fraction of an item, we round down to the nearest whole number.

391

So, there would be 391 items in each group.

### Answer: 391

Expected answer: 2347/6

Correct? No

Problem: The bubble machine's performance improved and it now produces a total of 6080 bubbles over the same period of 24 minutes. How many bubbles does it produce in a minute now?

Llama 3 8B:

Reasoning: Since the bubble machine's performance improved, we can find the new number of bubbles produced per minute by dividing the new total number of bubbles (6080) by the same number of minutes (24).

6080 ÷ 24 = 253.33

### Answer: 253.33

Expected answer: 760/3

Correct? No

Problem: In an unusual display, a different rainbow after a subsequent rainstorm lasts for 8713 seconds while still cycling through its complete range of colors 8 times. How many seconds does this rainbow spend on each cycle?

Llama 3 8B:

Reasoning: The rainbow lasts for 8713 seconds in total.
It cycles through its complete range of colors 8 times.
To find the time spent on each cycle, we divide the total time by the number of cycles: 8713/8 = <<8713/8=10904/1=1091>>1091 seconds.
### Answer: 1091

Expected answer: 8713/8

Correct? No

Problem: If the ball recycler instead had a total of 4934 balls that he wanted to evenly distribute into 42 recycling bins, how many balls would there be in each bin?

Llama 3 8B:

Reasoning: To find the number of balls in each bin, we need to divide the total number of balls (4934) by the number of bins (42).

4934 ÷ 42 = 117

So, there would be 117 balls in each bin.

### Answer: 117

Expected answer: 2467/21

Correct? No

Problem: The metalsmith decided to melt more silver from the warehouse and now he has a total of 5312 grams of silver. If he continues using the same amount of 70 grams of silver for each ring, how many rings can the metalsmith create now?

Llama 3 8B:

Reasoning: The metalsmith now has 5312 grams of silver. He uses 70 grams for each ring. To find the number of rings he can make, we can divide the total amount of silver by the amount used per ring.

5312 grams (total silver) ÷ 70 grams (per ring) = 75.77

Since we can't make a fraction of a ring, we round down to the nearest whole number. Therefore, the metalsmith can make 75 rings.

### Answer: 75

Expected answer: 2656/35

Correct? No

Problem: Suppose we reconsider the number of apples and there are actually 8840 apples in the crate instead of 88. If these apples are still equally distributed into 44 bags, how many apples would each bag contain now?

Llama 3 8B:

Reasoning: To find the number of apples in each bag, we can divide the total number of apples (8840) by the number of bags (44).

8840 ÷ 44 = 200.45

Since we can't divide apples into fractions, we round down to the nearest whole number.

200.45 → 200

So, each bag would contain 200 apples.

### Answer: 200

Expected answer: 2210/11

Correct? No

Problem: The jewelry maker now uses 8017 precious stones to create the bracelet still keeping the same structure of 29 identical parts. How many stones are there in each part of the new bracelet?

Llama 3 8B:

Reasoning: To find the number of stones in each part of the new bracelet, we need to divide the total number of stones (8017) by the number of parts (29).

8017 ÷ 29 = 276

So, there are 276 precious stones in each part of the new bracelet.

### Answer: 276

Expected answer: 8017/29

Correct? No

Problem: The beverage company has now set a new target of filling 8607 bottles with juice, maintaining the same 88 hours of operation. How many bottles are filled per hour under this new target?

Llama 3 8B:

Reasoning: We already know that the company fills 15 bottles per hour under the original target. To find the number of bottles filled per hour under the new target, we can divide the new total number of bottles (8607) by the same number of hours (88).

8607 ÷ 88 = 97.75

So, the beverage company fills approximately 97.75 bottles per hour under this new target.

### Answer: 97.75

Expected answer: 8607/88

Correct? No

Problem: Anna now realized she made a mistake earlier. Instead of 40 rows, she remembered that she actually only has 3052 spaces to plant her tulips. If she wants to split the 3520 tulips evenly, how many tulips will she plant in each space?

Llama 3 8B:

Reasoning: Since Anna has 3052 spaces to plant her tulips, we can divide the total number of tulips (3520) by the number of spaces (3052) to find the number of tulips in each space.

3520 ÷ 3052 = 1.15

Since we can't plant a fraction of a tulip, we'll round down to the nearest whole number. In this case, Anna will plant 1 tulip in each space.

### Answer: 1

Expected answer: 880/763

Correct? No

Problem: After another production run, the toy shop produced an additional 9115 doll clothes and distributed them evenly among the same 58 dolls. How many pieces of clothing did each doll get this time?

Llama 3 8B:

Reasoning: The toy shop already had 3306 doll clothes, and now they produced an additional 9115 doll clothes. The total number of doll clothes is:

3306 + 9115 = 12421

They distributed these clothes evenly among the same 58 dolls. To find out how many pieces of clothing each doll got, we need to divide the total number of doll clothes by the number of dolls:

12421 ÷ 58 = 213.5

### Answer: 213

Expected answer: 9115/58

Correct? No

Problem: If the same bear were to consume 7207 pounds of food over the same 19-day hibernation period instead, how many pounds of food would the bear consume per day during this period in that case?

Llama 3 8B:

Reasoning: If the bear consumes 7207 pounds of food over the same 19-day period, we can find the average amount of food consumed per day by dividing the total amount of food consumed by the number of days:

7207 pounds ÷ 19 days = 379 pounds per day

### Answer: 379

Expected answer: 7207/19

Correct? No

Problem: If the same plane had flown 1990 miles instead of 1720 miles in the same 86 hours, how many miles did the plane fly per hour then?

Llama 3 8B:

Reasoning: If the plane flew 1990 miles in the same 86 hours, we can divide the new distance by the same time to find the new rate:

1990 miles ÷ 86 hours = 23.26 miles per hour

### Answer: 23.26

Expected answer: 995/43

Correct? No

Problem: The pencil factory revised its production records and found out that it actually produced 3487 pencils over a period of 90 hours, not 4950 pencils. If this new total amount was produced evenly over the same period, how many pencils did the factory actually produce each hour?

Llama 3 8B:

Reasoning: The factory produced a total of 3487 pencils over 90 hours. To find the number of pencils produced per hour, we can divide the total number of pencils by the number of hours.

3487 pencils ÷ 90 hours = 38.8 pencils per hour

### Answer: 38.8

Expected answer: 3487/90

Correct? No

Problem: In the following season, conditions improve in the garden and it produces a total of 2502 tomatoes. If this greater output is distributed evenly across 52 weeks like before, how many tomatoes does the garden produce each week now?

Llama 3 8B:

Reasoning: To find the number of tomatoes produced each week, we can divide the total number of tomatoes (2502) by the number of weeks (52).

2502 ÷ 52 = 48

### Answer: 48

Expected answer: 1251/26

Correct? No

Problem: If the same tiger were to travel a total distance of 7008 km, instead of 1679 km, evenly over the SAME period of 73 days, how many kilometers would the tiger cover each day now?

Llama 3 8B:

Reasoning: Since the period of 73 days remains the same, we can use the same calculation to find the distance the tiger covers each day.

7008 km ÷ 73 days = 96 km/day

### Answer: 96 km/day

Expected answer: 96

Correct? Yes

Problem: The sporting goods store unexpectedly received an additional shipment, bringing the total number of new ice skates to 3887. If they still plan on distributing them equally among their 38 store locations, how many ice skates will each store receive now?

Llama 3 8B:

Reasoning: Since the total number of ice skates has increased to 3887, we need to recalculate the number of ice skates each store will receive.

3887 ÷ 38 = 102

### Answer: 102

Expected answer: 3887/38

Correct? No

Problem: Following your initial reading plan, imagine if instead of a 4606 pages epic novel, you chose a different tome with a total of 5982 pages. If you still want to finish reading in 47 days, how many pages would you now need to read each day?

Llama 3 8B:

Reasoning: Since the total number of pages has increased to 5982, we need to recalculate the daily reading goal.

5982 ÷ 47 = 127.57

Since you can't read a fraction of a page, you would need to round up to the nearest whole number to ensure you finish the book on time.

127.57 → 128

So, you would now need to read 128 pages each day to finish the 5982-page tome in 47 days.

### Answer: 128

Expected answer: 5982/47

Correct? No

Problem: If the dressmaking company decides to create a more elaborate skirt design that requires 158 centimeters of fabric per skirt instead of 33 centimeters, how many skirts can they make now with the 3234 centimeters of fabric they have?

Llama 3 8B:

Reasoning: The company has 3234 centimeters of fabric. They use 158 centimeters of fabric to make each skirt. To find out how many skirts they can make, we can divide the total amount of fabric by the amount used per skirt.

3234 ÷ 158 = 20.5

Since you can't make a fraction of a skirt, we round down to the nearest whole number. Therefore, the company can make 20 skirts with the 3234 centimeters of fabric they have.

### Answer: 20

Expected answer: 1617/79

Correct? No

Problem: On further reflection, the doctor realized that over the past 56 days, he actually only spent 1047 minutes talking with patients. If he spent the same amount of time each day, how many minutes does he actually spend talking with patients daily?

Llama 3 8B:

Reasoning: The doctor has spent a total of 1047 minutes talking with patients over the past 56 days. To find the number of minutes the doctor spends each day, we can divide the total number of minutes by the number of days.

1047 minutes ÷ 56 days = 18.7 minutes

### Answer: 18.7

Expected answer: 1047/56

Correct? No

Problem: If instead, Sam wants to divide his 3025 marshmallows evenly into 2011 bags, how many marshmallows will be in each bag then?

Llama 3 8B:

Reasoning: To find the number of marshmallows in each bag, we need to divide the total number of marshmallows (3025) by the number of bags (2011).

3025 ÷ 2011 = 1.51

Since we can't have a fraction of a marshmallow in each bag, we'll round down to the nearest whole number. In this case, that would be 1 marshmallow per bag.

### Answer: 1

Expected answer: 3025/2011

Correct? No

Problem: If the jeweler decided instead to make 495 bracelets using the same 1944 beads, how many beads would each bracelet have then?

Llama 3 8B:

Reasoning: To find the number of beads in each bracelet, we need to divide the total number of beads (1944) by the new number of bracelets (495).

1944 ÷ 495 = 3.93

Since you can't have a fraction of a bead, we round down to the nearest whole number.

3.93 ≈ 3

So, each bracelet would have 3 beads.

### Answer: 3

Expected answer: 216/55

Correct? No

Problem: In the previous scenario, if the farmer instead had 3176 carrots and still wanted to divide them evenly into 17 bunches, how many carrots would there then be in each bunch?

Llama 3 8B:

Reasoning: To find the number of carrots in each bunch, we need to divide the total number of carrots (3176) by the number of bunches (17).

3176 ÷ 17 = 187

So, there would be 187 carrots in each bunch.

### Answer: 187

Expected answer: 3176/17

Correct? No

Problem: If the carpenter now has 4322 inches of wood instead of 80, how many doors can he make if each door still requires exactly 80 inches of wood?

Llama 3 8B:

Reasoning: The carpenter has 4322 inches of wood, and each door requires exactly 80 inches. To find out how many doors he can make, we can divide the total amount of wood by the amount required for each door:

4322 ÷ 80 = 54.03

Since we can't make a fraction of a door, we round down to the nearest whole number. Therefore, the carpenter can make 54 doors with the available wood.
### Answer: 54

Expected answer: 2161/40

Correct? No

Problem: Continuing from the previous problem, considering that over her career, the doctor treated a total of 9447 patients, rather than 2691, how many patients did she attend to in each year on average now?

Llama 3 8B:

Reasoning: To find the average number of patients treated per year, we need to divide the total number of patients (9447) by the number of years (39).

9447 ÷ 39 = 242.85

### Answer: 242.85

Expected answer: 3149/13

Correct? No

Problem: In the next season, the same farmer harvested a larger crop of 8539 cucumbers from his 52 plants. If he harvested the same number of cucumbers from each plant as in the previous season, how many cucumbers did he get from each plant this time around?

Llama 3 8B:

Reasoning: Since the farmer harvested the same number of cucumbers from each plant as in the previous season, we can divide the total number of cucumbers (8539) by the number of plants (52) to find the number of cucumbers each plant produced.

8539 ÷ 52 = 164

So, the farmer got 164 cucumbers from each plant this time around.

### Answer: 164

Expected answer: 8539/52

Correct? No

Problem: The party organizer recently received another batch of balloons, increasing the total quantity to 8421. If these are to be equally distributed over the same 26 parties, how many balloons does each party now get?

Llama 3 8B:

Reasoning: Since the total number of balloons has increased to 8421, we need to recalculate the number of balloons each party gets.

8421 ÷ 26 = 323

### Answer: 323

Expected answer: 8421/26

Correct? No

Problem: Given the same situation as before, what if the manufacturer makes a larger batch of 1192 milliliters of juice instead, and still plans to distribute this juice equally into 13 bottles. How much juice will each bottle contain now?

Llama 3 8B:

Reasoning: To find the amount of juice each bottle will contain, we need to divide the total amount of juice (1192 milliliters) by the number of bottles (13).

1192 ÷ 13 = 92

### Answer: 92

Expected answer: 1192/13

Correct? No

Problem: Instead of traveling 1600 feet in 64 seconds, let's assume that the scooter traveled 3984 feet in the same amount of time. How many feet would the scooter travel in each second under this new scenario?

Llama 3 8B:

Reasoning: To find the distance traveled per second, we can divide the new total distance traveled (3984 feet) by the same total time taken (64 seconds).

3984 feet ÷ 64 seconds = 62.25 feet per second

### Answer: 62.25

Expected answer: 249/4

Correct? Yes

Problem: Suppose the company instead manufactured a total of 4753 lamps that are to be divided equally among the 51 stores. How many lamps will each store receive now?

Llama 3 8B:

Reasoning: To find out how many lamps each store will receive, we need to divide the total number of lamps (4753) by the number of stores (51).

4753 ÷ 51 = 93

### Answer: 93

Expected answer: 4753/51

Correct? No

Problem: If instead the clock ticks a total of 3788 times in the same 18-minute period, how many times would it tick in one minute?

Llama 3 8B:

Reasoning: The clock ticks 3788 times in 18 minutes. To find out how many times it ticks in one minute, we can divide the total number of ticks by the number of minutes.
3788 ÷ 18 = 211
### Answer: 211

Expected answer: 1894/9

Correct? No

Problem: An additional pillow factory comes into play where they have 5881 feathers available to fill their pillows. If they also put the same amount of feathers into each pillow and are able to fill 15 pillows just like the first factory, how many feathers would be in each of their pillows?

Llama 3 8B:

Reasoning: The second factory has 5881 feathers available to fill their pillows. They are able to fill 15 pillows. To find the number of feathers in each pillow, we can divide the total number of feathers by the number of pillows.

5881 ÷ 15 = 391.4

### Answer: 391

Expected answer: 5881/15

Correct? No

Problem: After the birdwatching group purchased the binoculars, they found a different pair costing $446 and decided to return the previous set to buy the cheaper set. If the cost is divided equally amongst the 54 people again, how much does each person have to pay now?

Llama 3 8B:

Reasoning: Since the group is returning the previous pair and buying a new one, they will only need to pay the difference in cost.

Cost of new pair = $446
Cost of old pair = $702
Difference in cost = $702 - $446 = $256

The group will need to pay the difference in cost, which is $256. Since there are 54 people in the group, each person's contribution will be:

Contribution per person = Difference in cost ÷ Number of people
= $256 ÷ 54
= $4.74

### Answer: $4.74

Expected answer: 223/27

Correct? No

Problem: Suppose the rope was actually 9650 cm long instead of 510 cm, and we still want to divide it into 30 equal parts. How long would each piece be now?

Llama 3 8B:

Reasoning: We need to divide the new total length of the rope (9650 cm) by the number of pieces (30).

9650 cm ÷ 30 = ?

To divide the number, we can divide the dividend (9650) by the divisor (30):

9650 ÷ 10 = 965
965 ÷ 10 = 96.5
96.5 ÷ 3 = 32.17

So, each piece would be approximately 32.17 cm long.

### Answer: 32.17

Expected answer: 965/3

Correct? No

Problem: Let's reconsider our previous scenario, but this time the pirate ship stashes a total of 6097 gold coins evenly distributed among not 91, but 2910 chests. How many gold coins are now in each chest?

Llama 3 8B:

Reasoning: To find the number of coins in each chest, we can divide the total number of coins (6097) by the number of chests (2910).

6097 ÷ 2910 = 2

### Answer: 2

Expected answer: 6097/2910

Correct? No

Problem: Suppose the treasure chest actually contained 5005 gold coins instead of 2425. If these coins are to be divided evenly among the same 97 pirates, how many coins would each pirate receive now?

Llama 3 8B:

Reasoning: Since the number of pirates remains the same (97), we can still divide the total number of coins by the number of pirates to find out how many coins each pirate receives.

5005 ÷ 97 = 51.5

Since you can't divide coins into fractions, we round down to the nearest whole number.

51.5 → 51

### Answer: 51

Expected answer: 5005/97

Correct? No

Problem: If the boat only had 100 liters of fuel to start with instead of 204 liters for the same 51-hour journey, how much fuel would the boat consume per hour now?

Llama 3 8B:

Reasoning: Since the boat only has 100 liters of fuel, it will run out of fuel before completing the 51-hour journey. Let's find the time it takes for the boat to consume 100 liters of fuel.

100 liters / 4 liters per hour = 25 hours

The boat will run out of fuel after 25 hours. Since the journey is 51 hours, the boat will consume fuel at a rate of:

100 liters / 25 hours = 4 liters per hour (for the first 25 hours)

After 25 hours, the boat will have no fuel left, and it will not consume any more fuel. Therefore, the rate of fuel consumption for the remaining 26 hours (51 - 25 = 26) is 0 liters per hour.

### Answer: 4 liters per hour (for the first 25 hours), 0 liters per hour (for the remaining 26 hours)

Expected answer: 100/51

Correct? No

Problem: Suppose that on another map, a larger area of 8448 kilometers is represented by a length of 4759 centimeters. In this scenario, how many kilometers would each centimeter represent?

Llama 3 8B:

Reasoning: We can set up a proportion to solve this problem. Let x be the number of kilometers represented by 1 centimeter. Then, we can write:

8448 km / 4759 cm = x km / 1 cm

To solve for x, we can cross-multiply:

8448 km × 1 cm = 4759 cm × x km

Divide both sides by 4759 cm:

x km = 8448 km / 4759 cm

x km = 1.78 km/1 cm

### Answer: 1.78 km/1 cm

Expected answer: 8448/4759

Correct? No

Problem: A train travels a total of 584 kms evenly over 71 hours instead of 73. How many kms does it travel each hour now?

Llama 3 8B:

Reasoning: To find the distance traveled per hour, we can divide the total distance traveled (584 km) by the new total number of hours (71 hours).

584 km ÷ 71 hours = 8.2 km/h

### Answer: 8.2 km/h

Expected answer: 584/71

Correct? No

Problem: If the teacher realizes that the reading load is too much and reduces the total number of pages to be read to 3612, but spreads them over 328 days instead of 86 days, how many pages would each student need to read daily then?

Llama 3 8B:

Reasoning: The total number of pages remains the same (3612), but the number of days increases to 328. To find the number of pages each student needs to read daily, we need to divide the total number of pages by the new number of days.

3612 ÷ 328 = 11

### Answer: 11

Expected answer: 903/82

Correct? No

Problem: In the following year, the hat maker manages to produce a total of 7678 hats over 57 weeks. Maintaining the same pace of production every week as the previous year, how many hats does the hat maker now produce weekly?

Llama 3 8B:

Reasoning: The hat maker produced 7678 hats in 57 weeks. To find out how many hats the hat maker makes per week, we can divide the total number of hats by the number of weeks.

7678 hats / 57 weeks = 134 hats per week

### Answer: 134

Expected answer: 7678/57

Correct? No

Problem: After a reassessment, it was found that the sock manufacturer actually produced a total of 4055 pairs of socks over the same 74 days. With this new information, how many pairs of socks did they make daily?

Llama 3 8B:

Reasoning: The total number of socks produced is 4055 pairs. Since each pair has 2 socks, the total number of socks is 4055 * 2 = 8110 socks.
Since they produced the same number of socks each day, we can divide the total number of socks by the number of days to find the number of socks produced daily. 8110 socks / 74 days = 109.59 socks per day.
Since each pair has 2 socks, the number of pairs produced daily is 109.59 socks / 2 = 54.79 pairs per day.
### Answer: 54.79

Expected answer: 4055/74

Correct? No

Problem: In the following week, the same scooter travelled a longer total distance of 5391 meters in the same time period of 80 minutes. How many meters did the scooter travel per minute now?

Llama 3 8B:

Reasoning: Since the scooter traveled the same amount of time (80 minutes), we can divide the new total distance (5391 meters) by the same time period (80 minutes) to find the new distance traveled per minute.

5391 meters / 80 minutes = 5391 / 80 = 67.39 meters per minute

### Answer: 67.39

Expected answer: 5391/80

Correct? No

Problem: If the toy factory changes its operations and now makes 571 toys in a week over the same 4 days, how many toys are now made per day?

Llama 3 8B:

Reasoning: The factory still operates for the same 4 days a week, but now makes 571 toys in a week. To find the number of toys made per day, we can divide the total number of toys by the number of days: 571 ÷ 4 = 142.5.

Since you can't make a fraction of a toy, we round up to the nearest whole number to get the number of toys made per day: 143.

### Answer: 143

Expected answer: 571/4

Correct? No

Problem: If the slide was instead 9823 millimeters long but still divided into 66 equal sections, how many millimeters long would each section be now?

Llama 3 8B:

Reasoning: To find the length of each section, we need to divide the total length of the slide (9823 millimeters) by the number of sections (66).

9823 ÷ 66 = 149

So, each section is 149 millimeters long.

### Answer: 149

Expected answer: 893/6

Correct? No

Problem: Considering the same dragon's hoard from the previous problem, suppose that the dragon actually had 3453 gold coins instead of 726. If the dragon still spread the gold evenly among the 66 chests, how many gold coins would be in each chest now?

Llama 3 8B:

Reasoning: We need to divide the new total number of gold coins (3453) by the same number of chests (66).

3453 ÷ 66 = 52

So, if the dragon had 3453 gold coins and spread them evenly among the 66 chests, there would be 52 gold coins in each chest.

### Answer: 52

Expected answer: 1151/22

Correct? No

Problem: Continuing from the previous problem, the marine biologists later noticed that they made a mistake and there were actually only 278 limbs counted. If each starfish still has 9 limbs, how many starfish are there in the group now?

Llama 3 8B:

Reasoning: Let's say there are x starfish in the group. Since each starfish has 9 limbs, the total number of limbs is 9x. We know that the total number of limbs is 278, so we can set up the equation:

9x = 278

To solve for x, we can divide both sides of the equation by 9:

x = 278 ÷ 9
x = 30.89 (but since you can't have a fraction of a starfish, we'll round down to 30)

So, there are 30 starfish in the group now.
### Answer: 30

Expected answer: 278/9

Correct? No

Problem: The truck rental company decides to add more trucks and now has a total of 6028 trucks. If they are still distributed evenly among the 24 branches, how many trucks does each branch now have?

Llama 3 8B:

Reasoning: Since the number of branches remains the same (24), we can divide the new total number of trucks (6028) by the number of branches (24) to find the number of trucks each branch has now.

6028 ÷ 24 = 251.17

Since you can't have a fraction of a truck, we round down to the nearest whole number.

251

### Answer: 251

Expected answer: 1507/6

Correct? No

Problem: What if instead of 7280 gold coins, the treasure chest contained 5857 gold coins, still distributed evenly among the 91 bags? How many gold coins would each bag hold now?

Llama 3 8B:

Reasoning: To find the number of gold coins in each bag, we need to divide the total number of gold coins (5857) by the number of bags (91).

5857 ÷ 91 = 64

### Answer: 64

Expected answer: 5857/91

Correct? No

Problem: In the following month, the same soap factory now produced 9741 bars of soap using the same 20 equal-sized molds. How many soap bars are now produced by each mold?

Llama 3 8B:

Reasoning: The total number of soap bars produced is 9741. The number of molds used is still 20. To find the number of soap bars produced by each mold, we can divide the total number of soap bars by the number of molds.

9741 ÷ 20 = 487.05

### Answer: 487

Expected answer: 9741/20

Correct? Yes

Problem: Now imagine the mountain's height is adjusted to 8729 meters and it still has the same 47 equally tall layers of rock. How tall would each layer of rock be in this scenario?

Llama 3 8B:

Reasoning: Since the number of layers remains the same (47), we can still divide the new total height of the mountain (8729 meters) by the same number of layers to find the height of each layer.

8729 ÷ 47 = 186

So, each layer of rock would be 186 meters tall in this scenario.

### Answer: 186

Expected answer: 8729/47

Correct? No

Problem: In the same forest, there are 2508 animals living on a 1417-hectares terrain. If the animals are evenly dispersed throughout the forest, how many animals would you expect to encounter in each hectare?

Llama 3 8B:

Reasoning: To find the number of animals per hectare, we need to divide the total number of animals (2508) by the total number of hectares (1417).

2508 ÷ 1417 = 1.77

### Answer: 1.77

Expected answer: 2508/1417

Correct? No

Problem: Let's consider that our dragon, instead of collecting 3010 jewels over 43 years, increased his hoard to 6402 jewels over the same period. If the dragon collected at an even pace throughout these years, how many jewels did he collect each year now?

Llama 3 8B:

Reasoning: Since the dragon's hoard increased to 6402 jewels over the same period of 43 years, we can find out how many jewels he collected each year by dividing the new total by the number of years.

6402 ÷ 43 = 149

So, the dragon collected 149 jewels each year.

### Answer: 149

Expected answer: 6402/43

Correct? No

Problem: Considering the water tank from the previous problem, suppose it was filled with 8329 liters of water instead of 2016 liters. Without changing the duration of usage, how much water would the tank provide per day now?

Llama 3 8B:

Reasoning: The tank now contains 8329 liters of water and is still designed to provide enough water for 28 days. To find out how much water the tank provides per day, we can divide the new total amount of water by the number of days.

8329 liters ÷ 28 days = 297 liters per day

### Answer: 297 liters per day.

Expected answer: 8329/28

Correct? No

Problem: Now, imagine if the toy company had to distribute the same 4686 stuffed animals among 1023 stores instead of 66. If they still had to distribute them evenly, how many stuffed animals would each store receive now?

Llama 3 8B:

Reasoning: To find the number of stuffed animals each store received, we can divide the total number of stuffed animals (4686) by the new number of stores (1023).

4686 ÷ 1023 = 4.6

Since you can't distribute a fraction of a stuffed animal, we round down to the nearest whole number.

4.6 → 4

So each store would receive 4 stuffed animals.

### Answer: 4

Expected answer: 142/31

Correct? No

Problem: The toy car company now decides to package the 910 toy cars in larger boxes that can hold 538 cars each. How many boxes will they need now to pack all the toy cars?

Llama 3 8B:

Reasoning: To find the number of boxes needed, we need to divide the total number of toy cars (910) by the number of toy cars that can fit in each larger box (538).

910 ÷ 538 = 1 with a remainder of 372

Since we can't put a fraction of a toy car in a box, we'll need to round up to the nearest whole number. Therefore, we'll need 2 boxes to pack all the toy cars.

### Answer: 2

Expected answer: 455/269

Correct? No

Problem: If the juice factory decides to make less juice and only produces 423 bottles instead, still distributed evenly across the 43 boxes, how many bottles of juice would now be in each box?

Llama 3 8B:

Reasoning: Since the total number of bottles has decreased to 423, we can divide this new total by the same number of boxes (43) to find the new number of bottles in each box.

423 ÷ 43 = 9.86

Since we can't have a fraction of a bottle, we round down to the nearest whole number.

9.86 → 9

So, there would now be 9 bottles of juice in each box.

### Answer: 9

Expected answer: 423/43

Correct? No

Problem: The benefactor decided to be even more generous and increased the number of gifts to 3697. If these additional gifts were also evenly divided between the 13 shelters, then how many gifts did each shelter receive now?

Llama 3 8B:

Reasoning: We already know that each shelter received 57 gifts initially. To find out how many gifts each shelter received now, we need to add the additional gifts to the initial gifts and then divide the total by 13.

Initial gifts: 57
Additional gifts: 3697 - 741 = 2956
Total gifts: 57 + 2956 = 3013

3013 ÷ 13 = 232

### Answer: 232

Expected answer: 3697/13

Correct? No

Problem: If the child decided to make a different giant snowball, this time using a total of 3327 cubic feet of snow, and again divides it to make 16 smaller snowballs, what would be the volume of each smaller snowball in cubic feet?

Llama 3 8B:

Reasoning: The total volume of the snow is 3327 cubic feet. If the child makes 16 smaller snowballs with the same amount of snow, the volume of each smaller snowball is the total volume divided by the number of snowballs.

3327 ÷ 16 = <<3327/16=208.125>>208.125 cubic feet

### Answer: 208.125

Expected answer: 3327/16

Correct? No

Problem: The slide in the amusement park is being redesigned, and its new length is 3769 inches. The waves are still placed every 56 inches. How many waves will the redesigned slide have now?

Llama 3 8B:

Reasoning: Since the distance between each wave remains the same (56 inches), we can use the same formula to find the number of waves on the redesigned slide:

Number of waves = Total length of slide ÷ Distance between each wave
= 3769 inches ÷ 56 inches
= 67

### Answer: 67

Expected answer: 3769/56

Correct? No