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?

Qwen2-Math 72B:

 Reasoning: The bus drives 6100/52 = <<6100/52=117.3076923076923>>117.3076923076923 miles on average each week.
### Answer: 117.3076923076923

Expected answer: 1525/13

Correct? Yes

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?

Qwen2-Math 72B:

 Reasoning: The astronaut uses 3870/124 = <<3870/124=31.21>>31.21 liters of oxygen daily.
### Answer: 31.21

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?

Qwen2-Math 72B:

 Reasoning: There are 2603/10 = <<2603/10=260.3>>260.3 eggs in each nest.
### Answer: 260.3

Expected answer: 2603/10

Correct? Yes

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?

Qwen2-Math 72B:

 Reasoning: To find out how many towels they will donate each day now, we need to divide the new total number of towels by the number of days.
4581 towels ÷ 5 days = <<4581/5=916.2>>916.2 towels per day.
### Answer: 916.2

Expected answer: 4581/5

Correct? Yes

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?

Qwen2-Math 72B:

 Reasoning: To find out how many buses are needed, we divide the total number of students by the number of students each bus can carry.
Number of buses needed = 4570 / 11 = <<4570/11=415.45454545454546>>415.45454545454546
Since we cannot have a fraction of a bus, we need to round up to the nearest whole number.
Number of buses needed = 416
### 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?

Qwen2-Math 72B:

 Reasoning: The second bed sheet manufacturer produces 7208/28 = <<7208/28=257.42857142857144>>257.42857142857144 bed sheets each day. Since the number of bed sheets produced each day must be a whole number, we round this to 257 bed sheets per day.
### Answer: 257

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?

Qwen2-Math 72B:

 Reasoning: Each bag contains 2301/50 = <<2301/50=46.02>>46.02 pounds of food.
### Answer: 46.02

Expected answer: 2301/50

Correct? Yes

Problem: The cat's hunting skills have improved! Now this cat catches 2784 mice over the same period of 27 months. How many mice does the cat now catch each month?

Qwen2-Math 72B:

 Reasoning: To find the number of mice the cat catches each month, we need to divide the total number of mice caught by the number of months.
2784 mice / 27 months = <<2784/27=103.11111111111111>>103.11 mice per month.
### Answer: 103

Expected answer: 928/9

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?

Qwen2-Math 72B:

 Reasoning: To find the number of grapes in each box, we need to divide the total number of grapes by the number of boxes.
4830 grapes ÷ 62 boxes = <<4830/62=78>>78 grapes per box.
### 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?

Qwen2-Math 72B:

 Reasoning: There are 833/72 = <<833/72=11.569444444444445>>11.569444444444445 starfish in each square foot of this different seafloor area.
### Answer: 11.569444444444445

Expected answer: 833/72

Correct? Yes

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?

Qwen2-Math 72B:

 Reasoning: Each stuffed animal gets 2925/18 = <<2925/18=162.5>>162.5 toy trucks.
### Answer: 162.5

Expected answer: 325/2

Correct? Yes

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?

Qwen2-Math 72B:

 Reasoning: Each officer is responsible for 3698/30 = <<3698/30=123.26666666666667>>123.26666666666667 blocks.
### Answer: 123.26666666666667

Expected answer: 1849/15

Correct? Yes

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?

Qwen2-Math 72B:

 Reasoning: To find the number of unicorns in each meadow, we need to divide the total number of unicorns by the number of meadows.
2842 unicorns / 87 meadows = <<2842/87=32.666666666666664>>32.666666666666664 unicorns per meadow.
### Answer: 32.666666666666664

Expected answer: 98/3

Correct? Yes

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?

Qwen2-Math 72B:

 Reasoning: To find the length of the river within each city, we need to divide the total length of the river by the number of cities it passes through.
3767 kilometers / 82 cities = <<3767/82=46>>46 kilometers per city.
### 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?

Qwen2-Math 72B:

 Reasoning: To find the number of sunglasses made in each run, we need to divide the total number of sunglasses by the number of production runs.
Total number of sunglasses = 7712
Number of production runs = 69
Number of sunglasses made in each run = Total number of sunglasses / Number of production runs
Number of sunglasses made in each run = 7712 / 69
Number of sunglasses made in each run = <<7712/69=112>>112
### 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?

Qwen2-Math 72B:

 Reasoning: The average daily weight gain of the baby is 392/25 = <<392/25=15.68>>15.68 grams.
### Answer: 15.68

Expected answer: 392/25

Correct? Yes

Problem: If the lamp factory had instead produced a total of 7668 lamps over the same 37 consecutive days, how many lamps would it have manufactured daily?

Qwen2-Math 72B:

 Reasoning: The factory produces 7668/37 = <<7668/37=207>>207 lamps each day.
### Answer: 207

Expected answer: 7668/37

Correct? No

Problem: After some recalibration, it was discovered that the tiger actually walked a total of 2301 meters, and not 2556 meters, in 36 minutes. Given this new information, how many meters did the tiger walk in one minute?

Qwen2-Math 72B:

 Reasoning: The tiger walked 2301/36 = <<2301/36=63.916666666666664>>63.916666666666664 meters in one minute.
### Answer: 63.916666666666664

Expected answer: 767/12

Correct? Yes

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?

Qwen2-Math 72B:

 Reasoning: Each key costs 6906/30 = <<6906/30=230.2>>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?

Qwen2-Math 72B:

 Reasoning: There are 9083/41 = <<9083/41=221.53658536585366>>221.53658536585366 seashells per meter.
### Answer: 221.53658536585366

Expected answer: 9083/41

Correct? Yes

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?

Qwen2-Math 72B:

 Reasoning: The kite is flown for a total of 9051 minutes over the course of 23 days.
To find the number of minutes the kite is flown per day, we divide the total number of minutes by the number of days.
9051 minutes / 23 days = <<9051/23=393>>393 minutes per day.
### 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?

Qwen2-Math 72B:

 Reasoning: To find the average kilograms of tomatoes produced by each plant with the new information, we again divide the total kilograms of tomatoes by the number of plants.
Average kilograms per plant = Total kilograms of tomatoes / Number of plants
Average kilograms per plant = 1021 / 59
Average kilograms per plant = <<1021/59=17>>17
### Answer: 17

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?

Qwen2-Math 72B:

 Reasoning: The mouse runs 4928/3690 = <<4928/3690=1.3355013550135502>>1.3355013550135502 meters in one minute.
### Answer: 1.3355013550135502

Expected answer: 2464/1845

Correct? Yes

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?

Qwen2-Math 72B:

 Reasoning: The kite is flying 5659/50 = <<5659/50=113.18>>113.18 feet per each foot of the used string.
### 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?

Qwen2-Math 72B:

 Reasoning: To find out how many gifts each friend receives, we need to divide the total number of gifts by the number of friends.
Total gifts = 4030
Number of friends = 50
Gifts per friend = Total gifts / Number of friends = 4030 / 50 = <<4030/50=80.6>>80.6
Since we cannot distribute a fraction of a gift, each friend will receive 80 gifts, and there will be some gifts left over.
### 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?

Qwen2-Math 72B:

 Reasoning: To find the average number of logs burned each hour, we divide the total number of logs burned by the total number of hours.
4264 logs / 3764 hours = <<4264/3764=1.1328421052631579>>1.1328421052631579 logs per hour.
### Answer: 1.1328421052631579

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?

Qwen2-Math 72B:

 Reasoning: The UFO's speed in miles per minute is 1278/218 = <<1278/218=5.86>>5.86 miles per minute.
### Answer: 5.86

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?

Qwen2-Math 72B:

 Reasoning: To find the distance the snail travels daily, we need to divide the total distance by the number of days.
The snail travels 9521 cm / 35 days = <<9521/35=272>>272 cm per day.
### Answer: 272

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?

Qwen2-Math 72B:

 Reasoning: To find out how much sand will be at each station, we need to divide the total amount of sand by the number of stations.
1120 pounds of sand / 80 stations = <<1120/80=14>>14 pounds of sand per station.
### 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?

Qwen2-Math 72B:

 Reasoning: To find the number of bracelets in each display case, we need to divide the total number of bracelets by the number of display cases.
5311 bracelets / 56 display cases = <<5311/56=94.83928571428571>>94.83928571428571 bracelets per display case.
### Answer: 94.83928571428571

Expected answer: 5311/56

Correct? Yes

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?

Qwen2-Math 72B:

 Reasoning: The tiger travels 2498/54 = <<2498/54=46.25925925925926>>46.25925925925926 miles in one day.
### Answer: 46.25925925925926

Expected answer: 1249/27

Correct? Yes

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?

Qwen2-Math 72B:

 Reasoning: To find the number of cookies in each batch, we divide the total number of cookies by the number of batches.
2460 cookies / 554 batches = <<2460/554=4.44>>4.44 cookies per batch.
### Answer: 4.44

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?

Qwen2-Math 72B:

 Reasoning: 2347/6 = <<2347/6=391.16666666666667>>391.16666666666667
### Answer: 391.16666666666667

Expected answer: 2347/6

Correct? Yes

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?

Qwen2-Math 72B:

 Reasoning: The bubble machine now produces 6080/24 = <<6080/24=253.33333333333334>>253.33333333333334 bubbles in a minute.
### Answer: 253.33333333333334

Expected answer: 760/3

Correct? Yes

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?

Qwen2-Math 72B:

 Reasoning: The rainbow spends 8713/8 = <<8713/8=1089.125>>1089.125 seconds on each cycle.
### Answer: 1089.125

Expected answer: 8713/8

Correct? Yes

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?

Qwen2-Math 72B:

 Reasoning: To find the number of balls in each bin, we need to divide the total number of balls by the number of bins.
4934 balls / 42 bins = <<4934/42=117.47619047619048>>117.47619047619048 balls per bin.
Since we cannot have a fraction of a ball, we round down to the nearest whole number.
### 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?

Qwen2-Math 72B:

 Reasoning: The metalsmith can create 5312/70 = <<5312/70=75.88571428571429>>75.88571428571429 rings.
Since the metalsmith cannot create a fraction of a ring, he can create 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?

Qwen2-Math 72B:

 Reasoning: Each bag would now contain 8840/44 = <<8840/44=201>>201 apples.
### Answer: 201

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?

Qwen2-Math 72B:

 Reasoning: To find the number of stones in each part of the new bracelet, we need to divide the total number of stones by the number of parts.
8017 stones ÷ 29 parts = <<8017/29=276.448275862068965517241379310345>>276.448275862068965517241379310345 stones per part.
Since we cannot have a fraction of a stone, we round up to the nearest whole number.
### Answer: 277

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?

Qwen2-Math 72B:

 Reasoning: To find the number of bottles filled per hour under the new target, we need to divide the new total number of bottles by the same total number of hours.
8607 bottles / 88 hours = <<8607/88=98>>98 bottles per hour.
### Answer: 98

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?

Qwen2-Math 72B:

 Reasoning: To find the number of tulips in each space, we divide the total number of tulips by the number of spaces.
3520 tulips / 3052 spaces = <<3520/3052=1.1533420642201834>>1.1533420642201834 tulips per space.
### Answer: 1.1533420642201834

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?

Qwen2-Math 72B:

 Reasoning: Each doll got 9115/58 = <<9115/58=157>>157 pieces of clothing.
### Answer: 157

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?

Qwen2-Math 72B:

 Reasoning: To find the average amount of food consumed per day, we divide the total amount of food consumed by the number of days in hibernation.
Average food consumption per day = Total food consumed / Number of days in hibernation
Average food consumption per day = 7207 pounds / 19 days
Average food consumption per day = <<7207/19=379>>379 pounds
### Answer: 379 pounds

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?

Qwen2-Math 72B:

 Reasoning: The plane flew 1990/86 = <<1990/86=23>>23 miles per hour.
### Answer: 23

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?

Qwen2-Math 72B:

 Reasoning: The factory actually produced 3487/90 = <<3487/90=38.744444444444446>>38.744444444444446 pencils each hour.
### Answer: 38.744444444444446

Expected answer: 3487/90

Correct? Yes

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?

Qwen2-Math 72B:

 Reasoning: To find the number of tomatoes produced each week, we need to divide the total number of tomatoes by the number of weeks.
2502 tomatoes / 52 weeks = <<2502/52=48.115384615384615>>48.115384615384615 tomatoes per week.
### Answer: 48.115384615384615

Expected answer: 1251/26

Correct? Yes

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?

Qwen2-Math 72B:

 Reasoning: The tiger covers 7008/73 = <<7008/73=96>>96 kilometers each day.
### Answer: 96

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?

Qwen2-Math 72B:

 Reasoning: To find out how many ice skates each store will receive now, we need to divide the new total number of ice skates by the number of store locations.
New total number of ice skates = 3887
Number of store locations = 38
Ice skates per store = New total number of ice skates / Number of store locations
Ice skates per store = 3887 / 38
Ice skates per store = <<3887/38=102.3>>102.3
### Answer: 102.3

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?

Qwen2-Math 72B:

 Reasoning: To find out how many pages you need to read each day, you divide the total number of pages by the number of days. So, 5982 pages divided by 47 days equals approximately 127 pages per day.
### Answer: 127

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?

Qwen2-Math 72B:

 Reasoning: The company can now make 3234/158 = <<3234/158=20.468354430379746>>20 skirts in total.
### 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?

Qwen2-Math 72B:

 Reasoning: The doctor actually spends 1047/56 = <<1047/56=18.696428571428573>>18.696428571428573 minutes each day.
### Answer: 18.696428571428573

Expected answer: 1047/56

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: To find out how many marshmallows will be in each bag, we need to divide the total number of marshmallows by the number of bags.
3025 marshmallows ÷ 2011 bags = <<3025/2011=1.504226752859274>>1.504226752859274 marshmallows per bag.
### Answer: 1.504226752859274

Expected answer: 3025/2011

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: To find the number of beads in each bracelet, we need to divide the total number of beads by the number of bracelets.
Total number of beads = 1944
Number of bracelets = 495
Number of beads in each bracelet = Total number of beads / Number of bracelets
Number of beads in each bracelet = 1944 / 495
Number of beads in each bracelet = <<1944/495=3.927>>3.927
### Answer: 3.927

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?

Qwen2-Math 72B:

 Reasoning: To find the number of carrots in each bunch, we need to divide the total number of carrots by the number of bunches.
3176 carrots ÷ 17 bunches = <<3176/17=186.8235294117647>>186.8235294117647 carrots per bunch.
### Answer: 187 (rounded to the nearest whole number)

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?

Qwen2-Math 72B:

 Reasoning: The carpenter has 4322 inches of wood, and each door requires 80 inches of wood. Therefore, the carpenter can make 4322/80 = <<4322/80=54.025>>54 doors.
### 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?

Qwen2-Math 72B:

 Reasoning: To find the average number of patients attended to in each year, we divide the total number of patients by the number of years of active service.
Average number of patients per year = Total number of patients / Number of years of active service
Average number of patients per year = 9447 / 39
Average number of patients per year = <<9447/39=242>>242
### Answer: 242

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?

Qwen2-Math 72B:

 Reasoning: The farmer got 8539/52 = <<8539/52=164.21153846153846>>164.21 cucumbers from each plant this time around.
### Answer: 164.21

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?

Qwen2-Math 72B:

 Reasoning: Each party now gets 8421/26 = <<8421/26=323.88461538461537>>323.88461538461537 balloons. Since balloons cannot be divided, each party gets 323 balloons.
### 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?

Qwen2-Math 72B:

 Reasoning: To find out how much juice each bottle will contain, we need to divide the total amount of juice by the number of bottles.
Total amount of juice = 1192 milliliters
Number of bottles = 13
Amount of juice per bottle = Total amount of juice / Number of bottles
Amount of juice per bottle = 1192 / 13
Amount of juice per bottle = 91.69230769230769
### Answer: 91.69 milliliters

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?

Qwen2-Math 72B:

 Reasoning: The scooter would travel 3984/64 = <<3984/64=62>>62 feet in each second under this new scenario.
### Answer: 62

Expected answer: 249/4

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: To find out how many lamps each store will receive, we need to divide the total number of lamps by the number of stores.
4753 lamps ÷ 51 stores = <<4753/51=93.19607843137255>>93.19607843137255 lamps per store.
Since we cannot have a fraction of a lamp, we round down to the nearest whole number.
### 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?

Qwen2-Math 72B:

 Reasoning: The clock ticks 3788/18 = <<3788/18=210.44444444444444>>210.44444444444444 times in one minute.
### Answer: 210.44444444444444

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?

Qwen2-Math 72B:

 Reasoning: To find the number of feathers in each pillow, we need to divide the total number of feathers by the number of pillows.
5881 feathers / 15 pillows = <<5881/15=392.06666666666664>>392.06666666666664 feathers per pillow.
### Answer: 392.06666666666664

Expected answer: 5881/15

Correct? Yes

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?

Qwen2-Math 72B:

 Reasoning: Each person has to pay $446/54 = <<446/54=8.259259259259259>>8.259259259259259.
### Answer: 8.26

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?

Qwen2-Math 72B:

 Reasoning: To find the length of each piece, we divide the total length of the rope by the number of pieces.
9650 cm / 30 = <<9650/30=321.66666666666666>>321.66666666666666 cm
### Answer: 321.66666666666666 cm

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?

Qwen2-Math 72B:

 Reasoning: To find the number of coins in each chest, we divide the total number of coins by the number of chests.
6097 / 2910 = <<6097/2910=2.095189003436426>>2.095189003436426 coins per chest.
### Answer: 2.095189003436426

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?

Qwen2-Math 72B:

 Reasoning: Each pirate receives 5005/97 = <<5005/97=51>>51 coins.
### 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?

Qwen2-Math 72B:

 Reasoning: The boat consumes 100/51 = <<100/51=1.9607843137254902>>1.9607843137254902 liters of fuel in one hour.
### Answer: 1.9607843137254902

Expected answer: 100/51

Correct? Yes

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?

Qwen2-Math 72B:

 Reasoning: Each centimeter represents 8448/4759 = <<8448/4759=1.775>>1.775 kilometers.
### Answer: 1.775

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?

Qwen2-Math 72B:

 Reasoning: The train travels 584/71 = <<584/71=8.225352112676056>>8.225352112676056 kms each hour now.
### Answer: 8.225352112676056

Expected answer: 584/71

Correct? Yes

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?

Qwen2-Math 72B:

 Reasoning: To find the new number of pages each student needs to read daily, we need to divide the new total number of pages by the new number of days.
3612 pages / 328 days = <<3612/328=11>>11 pages per day.
### 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?

Qwen2-Math 72B:

 Reasoning: The hat maker makes 7678/57 = <<7678/57=134.69824561403508>>134.69824561403508 hats weekly.
### Answer: 134.69824561403508

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?

Qwen2-Math 72B:

 Reasoning: The manufacturer produced 4055/74 = <<4055/74=55>>55 pairs of socks daily.
### Answer: 55

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?

Qwen2-Math 72B:

 Reasoning: The scooter travelled 5391/80 = <<5391/80=67.3875>>67.3875 meters per minute.
### Answer: 67.3875

Expected answer: 5391/80

Correct? Yes

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?

Qwen2-Math 72B:

 Reasoning: The factory now makes 571/4 = <<571/4=142.75>>142.75 toys per day.
### Answer: 142.75

Expected answer: 571/4

Correct? Yes

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?

Qwen2-Math 72B:

 Reasoning: Each section is 9823/66 = <<9823/66=148.83333333333334>>148.83 millimeters long.
### Answer: 148.83

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?

Qwen2-Math 72B:

 Reasoning: There are 3453/66 = <<3453/66=52.31818181818182>>52.31818181818182 gold coins in each chest.
### Answer: 52.31818181818182

Expected answer: 1151/22

Correct? Yes

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?

Qwen2-Math 72B:

 Reasoning: The number of starfish is 278/9 = <<278/9=30.88888888888889>>30.88888888888889. Since the number of starfish must be a whole number, we round down to 30.
### Answer: 30

Expected answer: 278/9

Correct? No

Problem: The city decides to reconfigure the park by further dividing the 1927 acre park into 411 equal sections instead to accommodate more activities and recreational facilities. If each new section is of equal size, how large is each section in acres now?

Qwen2-Math 72B:

 Reasoning: To find the size of each new section, we need to divide the total area of the park by the number of new sections.
Size of each new section = Total area of the park / Number of new sections
Size of each new section = 1927 acres / 411 sections
Size of each new section = <<1927/411=4.688564476885645>>4.69 acres (rounded to two decimal places)
### Answer: 4.69

Expected answer: 1927/411

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?

Qwen2-Math 72B:

 Reasoning: To find the new number of trucks each branch has, we need to divide the new total number of trucks by the number of branches.
6028 trucks / 24 branches = <<6028/24=251>>251 trucks per branch.
### 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?

Qwen2-Math 72B:

 Reasoning: To find the number of gold coins in each bag, we need to divide the total number of gold coins by the number of bags.
5857 / 91 = <<5857/91=64.36263736263736>>64.36263736263736
### Answer: 64.36263736263736

Expected answer: 5857/91

Correct? Yes

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?

Qwen2-Math 72B:

 Reasoning: The number of soap bars produced by each mold is 9741/20 = <<9741/20=487.05>>487.05.
### Answer: 487.05

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?

Qwen2-Math 72B:

 Reasoning: Each layer of rock would be 8729/47 = <<8729/47=185.72340425531915>>185.72 meters tall.
### Answer: 185.72

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?

Qwen2-Math 72B:

 Reasoning: There are 2508/1417 = <<2508/1417=1.77>>1.77 animals per hectare.
### Answer: 1.77

Expected answer: 2508/1417

Correct? No

Problem: After finishing his first thru-hike, the backpacker decides to undertake a shorter journey of 2714 miles, still planning to cover an equal distance every day for 62 days. What is the new distance, in miles, that the backpacker plans to walk each day now?

Qwen2-Math 72B:

 Reasoning: To find the new distance the backpacker walks each day, we need to divide the new total distance by the number of days.
New distance per day = New total distance / Number of days
New distance per day = 2714 miles / 62 days
New distance per day = <<2714/62=43.774193548387096>>43.77 miles (rounded to two decimal places)
### Answer: 43.77 miles

Expected answer: 1357/31

Correct? No

Problem: If instead of sending a pulsating signal every 925 seconds, the alien sends it every 9094 seconds, how long would each pulse be if the signal is still organized into 37 equal pulses?

Qwen2-Math 72B:

 Reasoning: Each pulse is 9094/37 = <<9094/37=245.78378378378378>>245.78378378378378 seconds long.
### Answer: 245.78378378378378

Expected answer: 9094/37

Correct? Yes

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?

Qwen2-Math 72B:

 Reasoning: To find out how many jewels the dragon collected each year, we need to divide the total number of jewels by the number of years.
6402 jewels ÷ 43 years = <<6402/43=148.88372093023256>>149 jewels per year (rounded to the nearest whole number).
### Answer: 149 jewels per year

Expected answer: 6402/43

Correct? No

Problem: If the alien spaceship from the previous problem actually sent out the same pattern of 6699 signals over the course of 2715 Earth days instead of 87 days, how many signals does it now send daily?

Qwen2-Math 72B:

 Reasoning: To find the new number of signals sent daily, we divide the total number of signals by the new number of days. So, 6699 signals / 2715 days = <<6699/2715=2.467>>2.467 signals per day.
### Answer: 2.467

Expected answer: 2233/905

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?

Qwen2-Math 72B:

 Reasoning: The tank would provide 8329/28 = <<8329/28=297.4642857142857>>297.46 liters of water per day.
### Answer: 297.46

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?

Qwen2-Math 72B:

 Reasoning: To find the number of stuffed animals each store would receive, we need to divide the total number of stuffed animals by the number of stores.
4686 stuffed animals ÷ 1023 stores = <<4686/1023=4.58>>4.58 stuffed animals per store.
### Answer: 4.58

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?

Qwen2-Math 72B:

 Reasoning: To find out how many larger boxes are needed, we divide the total number of toy cars by the number of toy cars per larger box.
910 toy cars ÷ 538 toy cars per box = <<910/538=1.691449814126394>>1.691449814126394 boxes
Since we can't have a fraction of a box, we round up to the nearest whole number.
### 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?

Qwen2-Math 72B:

 Reasoning: To find the new number of bottles in each box, we divide the new total number of bottles by the number of boxes.
423 bottles ÷ 43 boxes = <<423/43=9>>9 bottles per 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?

Qwen2-Math 72B:

 Reasoning: Each shelter received 3697/13 = <<3697/13=284>>284 gifts.
### Answer: 284

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?

Qwen2-Math 72B:

 Reasoning: The volume of each smaller snowball is 3327/16 = <<3327/16=207.9375>>207.9375 cubic feet.
### Answer: 207.9375

Expected answer: 3327/16

Correct? Yes

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?

Qwen2-Math 72B:

 Reasoning: The number of waves on the slide is 3769/56 = <<3769/56=67.30357142857143>>67.30357142857143. Since the number of waves must be a whole number, we round down to the nearest whole number, which is 67.
### Answer: 67

Expected answer: 3769/56

Correct? No