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Gemma 2B on 4.OA.A.3

Common Core Standard 4.OA.A.3

This standard covers the following:

Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be Interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.

πŸ”— Problem

Problem: A songwriter creates a long ballad with many verses. Each verse has 162 words and he divides these into 18 lines per verse. This gives a certain number of words per line. To each line, he adds 34 more words as a refrain. What is the total number of words present in each line now?

Gemma 2B:

### Answer: 162+34=196

Expected answer: 43

Correct? No

πŸ”— Problem

Problem: A penguin biologist counted 35 penguins on a small ice floe. In another part of the Antarctic, she counted a different group of penguins and found there were approximately 598 divided evenly among 26 ice floes. After returning to the first place, she found that the penguin population had increased by 49. Wishing to conduct another survey, she decided to take 33 more penguins into account. However, when she counted them again, she realized she had overestimated and had to subtract 10 from her calculations. Her final step was to add in the penguins she’d left at her base camp, which were 20 adults and 14 chicks. How many penguins did she count in total?

Gemma 2B:

Reasoning: The number of penguins counted on the first ice floe was 35.
The number of penguins counted on the second ice floe was 598 divided by 26 = <<26>>26.
After taking 33 more penguins into account, she had 35 + 33 - 10 = <<35+33-10>>35+33-10.
The final number of penguins counted was 35+33-10 = <<35+33-10>>35+33-10.
### Answer: 49

Expected answer: 164

Correct? No

πŸ”— Problem

Problem: In a local park, a jungle gym has a total of 27 steps. If the top 19 steps are blue and rest along with another 19 steps are red, we get a certain number of colored steps. On another jungle gym, there are 34 green steps. What is the total number of colored steps on the two jungle gyms?

Gemma 2B:

Reasoning: There are 19 blue steps and 19 red steps, making a total of 19+19 = 38 colored steps.
The total number of colored steps on the two jungle gyms is 27 (total number of steps) - 19 (number of blue steps) - 19 (number of red steps) = 27 - 19 - 19 = 7.
### Answer: 7

Expected answer: 61

Correct? No

πŸ”— Problem

Problem: If a cloud releases 47 millimeters of rainfall per hour over a one hour period, and the average cloud typically releases 775 millimeters of rainfall over the course of 31 hours, find the amount of rainfall from the following condition. Subtract 22 from the average rainfall of the typical cloud per hour then multiply this by 23. Add this result to a constant cloud factor of 42. Add this new result to the hourly rainfall of the initial cloud and subtract 2 from it. What is the resultant millimeters of rainfall?

Gemma 2B:

### Answer: 100

Expected answer: 156

Correct? No

πŸ”— Problem

Problem: Nadia likes to practice playing the piano. The other day she practiced for 45 minutes in the morning. In the same day, she also practiced for another 35 minutes in the afternoon and then another 35 minutes in the evening. How long did Nadia practice the piano in total that day?

Gemma 2B:

Reasoning: 45+35+35 = <<45+35+35=105>>105 minutes.
### Answer: 105

Expected answer: 115

Correct? No

πŸ”— Problem

Problem: A popular clothing store sells dresses for $44 each. During a flash sale, they further reduce prices by a factor of 465 divided by 31. How much does a dress cost during the flash sale?

Gemma 2B:

Reasoning: The sale price is 44/31 = <<44/31=1.43>>1.43 times the original price.
Therefore, the dress costs 44 x 1.43 = <<44 x 1.43=60.4>>60.4 dollars during the flash sale.

Expected answer: 660

Correct? No

πŸ”— Problem

Problem: A rope maker made 46 meters of rope on Monday. On Tuesday, he made as many meters of rope as he did on Monday, plus an additional 19 meters. However, by Wednesday, 9 meters of this rope had been damaged and was unusable. How many meters of usable rope does he have after Wednesday?

Gemma 2B:

Reasoning: He made 46 + 19 = <<46+19=65>>65 meters on Tuesday.
After Wednesday, he made 46 - 9 = <<46-9=37>>37 meters of usable rope.
### Answer: 37

Expected answer: 56

Correct? No

πŸ”— Problem

Problem: Juliana bought 16 pairs of vintage earrings for a gift. Each pair costs $2. She also chose a special jewelry box that costs $25. In addition, she paid $48 for the gift wrapping service. How much did she spend in total for her gift?

Gemma 2B:

Reasoning: Juliana bought 16 x $2 = <<16 x $2=$32>>$32 pairs of vintage earrings.
She also bought a special jewelry box for $25.
She paid $48 for the gift wrapping service.
So, the total amount she spent for her gift was 32 + 25 + 48 = <<32 + 25 + 48=$105>>$105.

Expected answer: 105

Correct? Yes

πŸ”— Problem

Problem: If Emma takes 60 beads and divides them equally among 3 of her friends, each friend will get a certain number of beads. She then adds 4 more beads to each friend's pile to start making necklaces. How many beads does each friend have now?

Gemma 2B:

Reasoning: Each friend will get 60/3 = <<60/3=20>>20 beads.
After adding 4 beads, each friend will have 20+4 = <<20+4=24>>24 beads.

Expected answer: 24

Correct? Yes

πŸ”— Problem

Problem: A young boy with a creative mind decided to build a kite. He started with 37 paper straws but decided that 4 were unnecessary and removed them. Later, he realized his kite was still too bulky and removed another 23 straws. He multiplied the remaining number of straws by 45, subtracted 49 from that total, and then took out 7 more straws. How many straws did the boy have left?

Gemma 2B:

### Answer: 18

Expected answer: 394

Correct? No

πŸ”— Problem

Problem: At the zoo, there were 2 trips being hosted. Each trip was allowed to see 2 animals. However, each animal had 3 baby animals with them, making the number of animals seen per trip multiplied by 3. If each baby animal could be photographed 21 times, how many photos could be taken in total? Also, if 34 photos were spoiled and unusable out of the entire batch, but guests were given the opportunity to take an additional 30 photos later, how many usable photos would there be in total?

Gemma 2B:

### Answer: 144

Expected answer: 248

Correct? No

πŸ”— Problem

Problem: In a literacy event, a group of learners were asked to write a word from letters. In the first round, they could form a word with 47 letters, but due to a mistake, they had to remove 30 letters. Then, they figured out they could still add 10 more letters to this word. In the next round, they removed 3 of these letters from the updated word. How many letters were there in the word after this last deletion?

Gemma 2B:

### Answer: 47

Expected answer: 24

Correct? No

πŸ”— Problem

Problem: A turtle named Tommy moves at 74/37 miles per hour. If Tommy maintains his current speed for a while then slows down by 3 mph, then speeds up to his initial speed again, what would be his average speed?

Gemma 2B:

Reasoning: His average speed would be 74/37 = <<74/37>>74/37 miles per hour.
His speed would be 74/37 - 3 = <<74/37-3=71/37>>71/37 miles per hour.

Expected answer: 1

Correct? No

πŸ”— Problem

Problem: Liam has 40 sets of building blocks. Each set contains 16 blocks. How many building blocks does Liam have in total?

Gemma 2B:

Reasoning: Liam has 40 x 16 = <<40x16=640>>640 building blocks in total.
### Answer: 640

Expected answer: 640

Correct? Yes

πŸ”— Follow-up

Problem: After counting all the building blocks, Liam decides to give away 25 to his friend. How many building blocks does Liam have left after giving some to his friend?

Gemma 2B:

Reasoning: Liam has 640 - 25 = <<640-25=615>>615 building blocks left after giving some to his friend.
### Answer: 615

Expected answer: 615

Correct? Yes

πŸ”— Follow-up

Problem: What if Liam only had 38 sets of building blocks instead of 40? How many building blocks would he have in that case?

Gemma 2B:

Reasoning: Liam would still have 40 x 16 = <<40x16=640>>640 building blocks in total, regardless of the number of sets he had.
### Answer: 640

Expected answer: 608

Correct? No

πŸ”— Problem

Problem: John has 24 pencils. Then he bought more such that the number of pencils he has now is equal to the number of what he had plus 7. How many pencils does John have now?

Gemma 2B:

Reasoning: John started with 24 pencils, and then he bought 7 more pencils. So, he now has 24+7 = <<24+7=31>>31 pencils.
### Answer: 31

Expected answer: 31

Correct? Yes

πŸ”— Follow-up

Problem: After having a total of 31 pencils, John received a gift box with an additional 26 pencils. How many pencils does he have now?

Gemma 2B:

### Answer: 57

Expected answer: 57

Correct? Yes

πŸ”— Follow-up

Problem: Suppose originally, John only had 2 pencils instead of 24 and then he bought more such that the number of pencils he has now is equal to the number of pencils he had plus 7. How many pencils does John have now?

Gemma 2B:

Reasoning: John started with 2 pencils, and then he bought 7 more pencils. So, he now has 2+7 = <<2+7=9>>9 pencils.
### Answer: 9

Expected answer: 9

Correct? Yes

πŸ”— Problem

Problem: The snowfall in City A, which lasts for 50 days, is currently 36 days in. In City B, there is a unique snow pattern where for every 14 days, it snows 98 inches. The total snowfall in inches in City A is expected to be the product of the remaining snowfall days in City A and the average daily snowfall in inches in City B. However, the snow removal has been keeping up and has managed to remove an amount of snow equal to the average daily snowfall in City B. How much snow in inches is left in City A after the snow removal?

Gemma 2B:

### Answer: 12

Expected answer: 91

Correct? No

πŸ”— Problem

Problem: A pirate finds 28 rubies on the first day of his treasure hunt. On the second day, he finds another haul of rubies equal to the first day's find plus an additional 21 rubies. How many rubies does the pirate have in total after the second day?

Gemma 2B:

Reasoning: After the second day, the pirate has 28 + 21 = <<28+21=49>>49 rubies in total.
### Answer: 49

Expected answer: 77

Correct? No

πŸ”— Problem

Problem: There were 47 inches of snowfall in January and an additional 7 inches in early February. On February 15th, there was an additional 17 inches of snowfall. Then, 48 inches of snow fell in March. In April, we had an additional 31 inches of snowfall early on, but then 27 inches melted by the end of the month. How many inches of snow does this sum up to at the end of April?

Gemma 2B:

Reasoning: 48+7+17+48 = <<48+7+17+48=92>>92 inches of snow remained at the end of April.

Expected answer: 123

Correct? No

πŸ”— Problem

Problem: At a fair, a vendor sold balloons. On a particularly busy day, he sold 46 balloons every hour for 11 hours straight. After the fair had closed, he ended up selling an additional 31 balloons to some stragglers. How many balloons did he sell in total that day?

Gemma 2B:

Reasoning: He sold 46 balloons every hour for 11 hours, so he sold 46 * 11 = <<46 * 11=506>>506 balloons in total that day.
### Answer: 506

Expected answer: 537

Correct? No

πŸ”— Problem

Problem: Mary and John decided to play a game of cards. In the first game, Mary scored 31 points and John scored 39 points. In the second game, their combined score was increased by 35 more points. During a special round, they could multiply their score by the difference between 27 and the number of cards left in the deck, which was 23. What was their final score in the special round?

Gemma 2B:

Reasoning: In the first game, Mary scored 31 points, and John scored 39 points. In the second game, their combined score was increased by 35 more points, which was 35 * (27 - 23) = 35 * 4 = 140.
In the special round, they could multiply their score by the difference between 27 and the number of cards left in the deck, which was 23. 31 * 4 = 124.
### Answer: 124

Expected answer: 420

Correct? No

πŸ”— Problem

Problem: A furniture company manufactured 17 upholstered seats and 18 wooden seats in the morning, and then produced another 29 in the afternoon. They repeated this production in the evening. Later on, they gave away 48 chairs to charity and used 7 chairs for quality testing. How many chairs are left after these operations?

Gemma 2B:

Reasoning: The company started with 17 + 18 = <<17+18=35>>35 upholstered seats and 18 + 29 = <<18+29=47>>47 wooden seats.
After the operations, they gave away 48 chairs and used 7 chairs for quality testing, leaving 17 + 18 - 48 + 7 = <<17+18-48+7=1>1 chair left.
### Answer: 1

Expected answer: 73

Correct? No

πŸ”— Problem

Problem: On a popular jungle gym, there are 46 monkey bars and 18 swinging ropes for the kids to play on. Nearby, a larger jungle gym was recently built to accommodate more kids. The new jungle gym contains 2 extra long zip lines and 20 regular zip lines, each requiring 31 special hooks to install. How many more hooks were used in the new jungle gym compared to the number of play components on the popular jungle gym?

Gemma 2B:

Reasoning: The new gym has 2 extra long zip lines and 20 regular zip lines, each requiring 31 hooks to install. So, the new gym requires 2+20 = 22 more hooks than the popular gym.
### Answer: 22

Expected answer: 618

Correct? No

πŸ”— Problem

Problem: John has saved $168 and he decides to divide it evenly between 21 days. After doing so, he then gets an additional $47 from his job. He then receives another amount of money which is the sum of $12 and $45. How much money does John have now?

Gemma 2B:

Reasoning: After dividing $168 by 21, he gets 8. Therefore, he saves $8 per day for 21 days.
After getting the additional $47 from his job, he has $8+47 = $55.
After receiving the $12 and $45, he has $55+12+45 = $93.
### Answer: $93

Expected answer: 112

Correct? No

πŸ”— Problem

Problem: A robot can stack 32 boxes in 1 minute. If it works non-stop for 4 minutes and then picks up 1 extra box, how many boxes will this robot have stacked in total?

Gemma 2B:

Reasoning: The robot will stack 32 boxes in 1 minute, so in 4 minutes, it will stack 32 x 4 = <<128>>128 boxes.
After picking up 1 box, the robot will have stacked 128 + 1 = <<129>>129 boxes.
### Answer: 129

Expected answer: 129

Correct? Yes

πŸ”— Follow-up

Problem: After stacking boxes for 4 minutes, the robot takes a break. When it comes back, it accidentally knocks over 21 of the boxes. How many boxes remain stacked after the robot knocks some over?

Gemma 2B:

Reasoning: There are 129 boxes, and the robot knocks over 21, so there are 129 - 21 = <<108>>108 boxes remaining stacked.
### Answer: 108

Expected answer: 108

Correct? Yes

πŸ”— Follow-up

Problem: Let's consider a different scenario: If, instead of picking up an extra single box after 4 minutes, the robot picked up an extra 11 boxes, how many boxes would this robot have stacked in total?

Gemma 2B:

Reasoning: The robot would still stack 32 boxes in 1 minute, so in 4 minutes, it will stack 32 x 4 = <<128>>128 boxes.
Adding 11 to 128, we get 139 boxes.
### Answer: 139

Expected answer: 139

Correct? Yes

πŸ”— Problem

Problem: A female tiger gave birth to 26 cubs in all her lifetime. Unfortunately, 17 of them did not survive the harsh conditions of the wild. However, after growing up, 6 of the surviving tigers moved to other territories. How many tigers remained in the female tiger's territory?

Gemma 2B:

Reasoning: There were 26 cubs, and 17 of them died. So, there were 26 - 17 = <<19>>19 tigers remaining in the female tiger's territory.

Expected answer: 3

Correct? No

πŸ”— Problem

Problem: A colony of penguins originally started with 44 members. After a while, 39 new penguins join the colony. Later, from that group, 16 penguins leave to start a new colony elsewhere. To supplant the loss, another group of 35 penguins join the colony. How many penguins are in the colony now?

Gemma 2B:

Reasoning: The colony started with 44 members, and 39 new members joined, so the total number of members became 44+39 = <<44+39=83>>83.
There were 16 penguins that left, so the total number of penguins in the colony now is 44+39+35 = <<44+39+35=88>>88.
### Answer: 88

Expected answer: 102

Correct? No

πŸ”— Problem

Problem: A helicopter travels 10 miles in one minute. If the helicopter increases its speed by 40 miles, plus another 20 miles, how far will the helicopter travel in 12 minutes at this increased speed?

Gemma 2B:

Reasoning: The helicopter travels 10 miles in one minute, so in 12 minutes, it will travel 10 x 12 = <<10 x 12=120>>120 miles.
### Answer: 120

Expected answer: 840

Correct? No

πŸ”— Problem

Problem: A new telescope has a magnification power of 26. To further explore the universe, another telescope is required that needs to be exactly 41 in magnification strength. How much more magnification is required for the new telescope compared to the existing one?

Gemma 2B:

Reasoning: The magnification power of the new telescope is 26x the magnification power of the existing telescope.
Therefore, the new telescope needs 26 - 1 = <<25>>25 more magnification power than the existing telescope.
### Answer: 25

Expected answer: 15

Correct? No

πŸ”— Problem

Problem: Sophie's parents give her $18 for every hour she works at the family business. On Monday, she worked 2 of those hours. Then she bought a $4 ice cream and another $4 coffee afterwards. She then added Monday's leftover amount to her pay for her next single hour of work. After that, she got an additional $45 as a bonus from her grandmother. How much money does Sophie have in total now?

Gemma 2B:

Reasoning: Sophie earned 2 * $18 = $36 on Monday.
Then she bought a $4 ice cream and another $4 coffee for $4 + 4 = $8.
After that, she added Monday's leftover amount to her pay for her next single hour of work, which is 2 hours, so $36 + 8 = $44.
Finally, she got an additional $45 as a bonus from her grandmother, so her total money now is $44 + 45 = $89.
### Answer: $89

Expected answer: 91

Correct? No

πŸ”— Problem

Problem: A towel company initially produced 30 beach towels and 6 hand towels. They then gave away 7 towels for charity, which leaves a certain amount of towels. They then decided to produce 14 more towels to add to their current stock. On the other hand, they made a special batch of 13 towels for every towel left after their charity activity and deducted 19 towels from this special batch, calling it their premium collection. They then noted 20 towels were damaged and removed it from this premium collection. After this, they deducted 3 more towels from the remaining premium collection and combined it with the total they had after their second batch of production. How many towels does the company have now?

Gemma 2B:

### Answer: 42

Expected answer: 378

Correct? No

πŸ”— Problem

Problem: An extraterrestrial being from the planet Zorkon communicates that they have 50 special energy crystals. Then they explain that they'll get 20 more energy crystals in a few earth days. Additionally, their zorbcraft has a hidden compartment that contains 50 energy crystals and 6 extra lumino-gems, and they plan to add the upcoming energy crystals to this compartment as well. How many items (including both energy crystals and lumino-gems) would be in the zorbcraft's compartment at that time?

Gemma 2B:

### Answer: 50+20+50=120

Expected answer: 126

Correct? No

πŸ”— Problem

Problem: A park contains 43 Velociraptors. Then, the park added another set of dinosaurs which numbered 972, but as it so happens, each of these sections contained 27 dinosaurs. This meant the actual number of new dinosaur types added was less. After calculating the new dinosaur types, they found out that the number of Velociraptors was more. They found the difference and multiplied this difference by 7, as each of the Velociraptors laid 7 new eggs that week. How many total eggs were laid by the Velociraptors that week?

Gemma 2B:

Reasoning: The park added 972 - 27 = <<972-27=945>>945 new dinosaur types.
The park laid 7 eggs per Velociraptor, so the total number of eggs laid by the Velociraptors that week was 7 * 945 = <<7*945=6355>>6355 eggs.
### Answer: 6355

Expected answer: 49

Correct? No

πŸ”— Problem

Problem: There is a bowl containing 46 oranges. After Maria took 16 oranges from that bowl, how many oranges are left?

Gemma 2B:

Reasoning: Maria took 16 from 46, which is equal to 46-16 = <<46-16=30>>30 oranges.
There are 46-30 = <<46-30=16>>16 oranges left in the bowl.

Expected answer: 30

Correct? No

πŸ”— Problem

Problem: A toothbrush factory produces 37 toothbrushes per minute at the start of its morning shift. A little later, it increases its production to rate to 308 toothbrushes every 7 minutes. If this increased rate of production continued for 16 minutes, how many toothbrushes were produced in total?

Gemma 2B:

Reasoning: The factory produced 37 * 16 = <<37 * 16=608>>608 toothbrushes in 16 minutes.
### Answer: 608

Expected answer: 741

Correct? No

πŸ”— Problem

Problem: A research laboratory has 39 telescopes initially. They added 7 more telescopes in the first month and then 17 more in the second month. Twelve more telescopes arrived in the third month, followed by further add up of 18 in the fourth month. In fifth month, they got exactly the same number of telescopes as they had initially i.e. 39 telescopes and in the sixth month, they received extra 19 telescopes. How many telescopes does the research laboratory have at the end of the sixth month.

Gemma 2B:

### Answer: 39

Expected answer: 151

Correct? No

πŸ”— Problem

Problem: A table was initially set with 20 forks and 23 knives. Later in the day, 28 more sets of cutlery were added, each set containing 26 utensils. After counting, they found 7 more utensils than expected. However, there were 46 missing utensils, and they had to remove the original set of 20 forks and 23 knives. How many utensils were left on the table?

Gemma 2B:

Reasoning: 20 forks + 23 knives + 28 sets = 77 utensils.
After removing the original set of 20 forks and 23 knives, there were 77 - 20 - 23 = 34 utensils left on the table.
### Answer: 34

Expected answer: 646

Correct? No

πŸ”— Problem

Problem: A magical unicorn has 50 red roses and 36 blue roses in her mystical garden. But then, a storm comes and 25 blue roses are destroyed. How many roses does the unicorn have left in her garden after the storm?

Gemma 2B:

Reasoning: After the storm, the unicorn has 50-25 = <<50-25=25>>25 red roses and 36-25 = <<36-25=11>>11 blue roses.
### Answer: 25

Expected answer: 61

Correct? No

πŸ”— Problem

Problem: A factory produces 100 bottles every hour. Half of the hourly production is sent to one warehouse. At another location, triple the amount sent to the first warehouse was marked for shipping, as well as an additional 29 bottles. By the end of the day, 28 more bottles were added to this shipment. How many bottles were marked for shipping in total?

Gemma 2B:

Reasoning: The factory produced 100 bottles/hour. Half of the production was sent to the first warehouse, which received 50 bottles/hour. The additional 29 bottles were added to the shipment, bringing the total to 79 bottles marked for shipping.
### Answer: 79

Expected answer: 207

Correct? No

πŸ”— Problem

Problem: The height of a window frame is calculated as the sum of 925 divided by 37 and 26 inches. The width of the window is 11 inches greater than the height. The circumference of the window is calculated as the sum of twice the width and the height. Finally the size of the glass for the window is calculated by subtracting 32 from the circumference. Find the size of the glass required for the window?

Gemma 2B:

### Answer: 100 inches

Expected answer: 143

Correct? No

πŸ”— Problem

Problem: A pirate finds treasure with 135 gold coins. He divides these amongst his crew of 9. On another island, they find 323 emeralds which he divides amongst his crew of 19. He then multiplies these two shares to find out the total share per crew member. However, due to a miscount, he later realizes he has overcounted the share by 14. What is the corrected total share per crew member?

Gemma 2B:

### Answer: 111

Expected answer: 241

Correct? No

πŸ”— Problem

Problem: A chocolatier has decided to make small chocolate bars that weigh 176 grams each. To get the right size, he divides each bar into 8 pieces, which means each piece weighs a certain number of grams. He then decides to make a new batch of chocolate using a special recipe. This recipe calls for a total of 38 grams of cocoa, but subtraction the weight of one piece from the 176g bars, plus an additional 26 grams of sugar. Simultaneously, the chocolatier decides to create another batch of chocolates that needs a total of 38 grams of cocoa and 18 grams of milk. What is the difference in the total weight of ingredients between the second and third batch of chocolates?

Gemma 2B:

### Answer: 26 grams

Expected answer: 14

Correct? No

πŸ”— Problem

Problem: Jenny has 9 red colored pencils in her art box. She also has some green colored pencils which amounts to 38 minus the number of red colored pencils she has. The total number of times she used all the pencils is the product of the number of green and red pencils she has. How many times did she use all her pencils?

Gemma 2B:

Reasoning: 38 - 9 = <<38-9=29>>29 pencils are green.
The total number of times she used all the pencils is 9 x 29 = <<9 x 29=261>>261.
### Answer: 261

Expected answer: 261

Correct? Yes

πŸ”— Follow-up

Problem: Following from the previous scenario, Jenny also used her blue colored pencils an equivalent number of times to the sum of 31 and 16. Now, the total number of times she used all her pencils is equivalent to the times she used her blue pencils added to the times she used her green and red pencils. How many times in total did she use all her pencils?

Gemma 2B:

### Answer: 261

Expected answer: 308

Correct? No

πŸ”— Follow-up

Problem: Now, instead of having only 9 red colored pencils, Jenny actually had 12 of them. She again has green colored pencils which, as before, total 38 minus the number of red colored pencils. The total number of times she used all the pencils is the product of the number of green and red pencils she has, just as in the previous case. Now, with this change, how many times did she use all her pencils?

Gemma 2B:

### Answer: 12 x 29 = <<12 x 29=348>>348

Expected answer: 312

Correct? No

πŸ”— Problem

Problem: A factory has just released a new robot model, where each model has 17 transistors and each transistor may have 16 separate connections. One of the newly manufactured robots by accident was made with one less connection than standard. However, to compensate for the mistake, an extra 41 connections were added elsewhere. What is the total number of connections in the strangely built robot?

Gemma 2B:

### Answer: 58

Expected answer: 312

Correct? No

πŸ”— Problem

Problem: At the local jungle gym, during busy hours, there are usually 24 kids climbing on each of the 31 different attractions. One rainy day, however, there were only 6 kids in total! If you subtract the number of kids on the rainy day from the usual busy day, and then further subtract 12 (the number of squirrels scampering around), how many kids will you have counted in total?

Gemma 2B:

### Answer: 16

Expected answer: 726

Correct? No

πŸ”— Problem

Problem: There's this mystical ring that, after you perform a special chant, it will grant you powers based on a complex magic formula. If the first step of the magical formula is subtracting 5 from 23 and then multiplying by the number of magical chants you perform, which in this case is 6. After that, the result is multiplied by 7 and again by 1. However, for the final step, you subtract 48 from the result. If you follow these steps, how powerful will the ring's magic be?

Gemma 2B:

### Answer: 1

Expected answer: 708

Correct? No

πŸ”— Problem

Problem: A child can make 15 cookies in one hour. If the child spends 24 hours making the cookies, how many cookies are made in total?

Gemma 2B:

Reasoning: The child can make 15 cookies in 1 hour, so in 24 hours, he can make 15 x 24 = <<15 x 24=360>>360 cookies.
### Answer: 360

Expected answer: 360

Correct? Yes

πŸ”— Follow-up

Problem: If the same child decides to increase their cookie production rate and can now make 40 cookies in one hour, how many cookies are made when they spend the same amount of time (24 hours) baking?

Gemma 2B:

Reasoning: The child can make 40 cookies in 1 hour, so in 24 hours, he can make 40 x 24 = <<40 x 24=960>>960 cookies.
### Answer: 960

Expected answer: 960

Correct? Yes

πŸ”— Problem

Problem: A silversmith has 16 silver rings in stock. He decided to create more rings and ended up with 28 silver and 24 gold rings. Then he subtracted from them the number of his original stock of silver rings. He traded some rings and ended up with 21 rings less than what he had after the creation stage. After that, for a special order, he created 26 times the number of rings he had left. In addition, he had made 7 platinum and 47 bronze rings for another order. How many rings does the silversmith have in total now?

Gemma 2B:

### Answer: 47

Expected answer: 444

Correct? No

πŸ”— Problem

Problem: A gardener plants flowers in several rows. Each row contains 40 flowers, but due to the rough soil conditions only half of them grow properly. In total, 19 rows are planted this way. Additionally, the gardener plants another small batch of 18 bulbs in one corner and 48 in another corner of the garden. What is the difference between the total number of flowers in the rows and the small corners?

Gemma 2B:

Reasoning: The number of flowers in the rows is 40 flowers/row * 19 rows = <<40 flowers/row * 19 rows=760>>760 flowers.
The number of flowers in the small corners is 18 bulbs + 48 = <<18+48=66>>66 flowers.
The difference between the total number of flowers and the small corners is 760 - 66 = <<760-66=700>>700.
### Answer: 700

Expected answer: 314

Correct? No

πŸ”— Problem

Problem: In the forest, a certain bird lays an average of 11 eggs per month. This month, the bird laid 4 times the average. Due to extreme weather conditions, the forest welcoming committee distributed an additional 40 eggs to various nests to support the bird population. How many eggs are there in the forest this month?

Gemma 2B:

Reasoning: 11 eggs/month x 4 = <<11 eggs/month x 4=44 eggs>>44 eggs.
The bird laid 44 eggs this month.

Expected answer: 84

Correct? No

πŸ”— Problem

Problem: You are mixing paints to create different shades. In one mixture, you have 41 drops of red paint. You then add 13 drops of white paint and the same amount of red paint as before. You take a sample of this mixture, which is 34 drops, and add that to a new mixture. Then take away the same amount of the 34 drop sample that you took originally. How many drops of paint are there in the new mixture?

Gemma 2B:

Reasoning: After adding 13 drops of white paint, the total number of drops is 41+13 = <<41+13=54>>54.
After taking away 34 drops, the final number of drops is 54-34 = <<54-34=20>>20.
### Answer: 20

Expected answer: 95

Correct? No

πŸ”— Problem

Problem: A small toy car factory made 32 toy cars on Monday, but only 27 on Tuesday. They multiply the difference by 49 to determine their weekly goal. The staff number in the factory is 12, and every staff member makes 9 toy cars a day. They add 45 to the total number of toy cars prepared by staff members. On Friday, they prepare 31 additional toy cars and add this to the weekly goal and staff prepared cars. How many toy cars in total were made in this process?

Gemma 2B:

Reasoning: The difference between Monday and Tuesday was 32-27 = <<32-27=5>>5 toy cars.
The weekly goal was 49 * 9 = <<49*9=441>>441 toy cars.
The staff prepared 45 + 31 = <<45+31=76>>76 toy cars on Friday.
Therefore, the total number of toy cars made in this process was 441 + 76 = <<441+76=417>>417.

Expected answer: 429

Correct? No

πŸ”— Problem

Problem: A farmer harvested 45 carrots in one day from his farm. He noticed that for every carrot over 44 per day, he can earn 29 dollars. How much would the farmer have earned if this continued?

Gemma 2B:

Reasoning: If the farmer harvested 45 carrots in one day, he can earn 45 * 29 = <<45 * 29=1265>>1265 dollars if the process continued.
### Answer: 1265

Expected answer: 29

Correct? No

πŸ”— Problem

Problem: In a sock factory, a worker started with 26 pairs of socks. Unfortunately, 50 pairs got torn and had to be discarded. The worker was able to produce 36 more pairs to replace them. Each pair of socks is sold for $37. After earning from the sock sales, the worker found a $13 bill on the floor. How much money does the worker have in total?

Gemma 2B:

Reasoning: The worker started with 26 pairs of socks, and he produced 36 more pairs, so he ended up with 26 + 36 = <<26+36=62>>62 socks.
The worker sold 26 socks for $37 each, so he made 26 * 37 = <<26*37=952>>952 dollars.
The worker found a $13 bill on the floor, so he made 952 - 13 = <<952-13=939>>939 dollars in total.
### Answer: 939

Expected answer: 457

Correct? No

πŸ”— Problem

Problem: A jewelry maker starts with 38 beads to make a bracelet. However, the number of beads was not right, so she removed a number of beads equal to dividing 560 by 40. However, she thinks her initial count may have been wrong and she may have actually started with 15 more beads than she initially thought. After adjusting the count and removing some beads, she adds one more bead, and then 39 more. How many beads does the jewelry maker have now?

Gemma 2B:

### Answer: 39

Expected answer: 79

Correct? No

πŸ”— Problem

Problem: In an aquarium, there are initially 30 sharks. But then, 23 of them are moved to a different area of the aquarium. A few days later, an additional 14 sharks are brought in, followed by 3 more being moved to the other area. The number of sharks is then multiplied by 43 for a research study. What is the final figure for the research?

Gemma 2B:

### Answer: 430

Expected answer: 774

Correct? No

πŸ”— Problem

Problem: In a puzzle game, each round you collect 150 points which are then divided by 10 to determine the number of gold coins you earn. After two rounds, you earned some gold coins. In the third round, you collected 28 emeralds and 14 sapphires but you had to sacrifice the same amount of gold coins as you earned in the first two rounds. How many emeralds and sapphires did you have left after the third round?

Gemma 2B:

### Answer: 14

Expected answer: 12

Correct? No

πŸ”— Problem

Problem: A train gets to carry 15 containers every day. On Fridays, the train gets to carry an extra 12 containers than usual. The following Monday, the train carries an additional 26 containers. However, on Wednesday, the load decreases by 32 containers. For a particular trip, the train is coupled with 2 more containers, and after it makes one stop, an additional 48 containers are loaded onto the train. How many containers is the train carrying at this point?

Gemma 2B:

Reasoning: The train carries 15 + 12 + 26 - 32 + 48 = <<15+12+26-32+48=72>>72 containers at this point.
### Answer: 72

Expected answer: 71

Correct? No

πŸ”— Problem

Problem: A lemon farmer had harvested 39 lemons in the morning and 33 in the afternoon. Unfortunately, 12 lemons got spoiled by the end of the day. The next day, the farmer used 23 lemons to make lemonade. How many lemons did he have left after making the lemonade?

Gemma 2B:

Reasoning: The farmer started with 39+33 = <<39+33=72>>72 lemons.
After losing 12 lemons, he had 39-12 = <<39-12=27>>27 lemons.
The farmer used 23 lemons to make lemonade, so he had 27-23 = <<27-23=4>>4 lemons left after making the lemonade.
### Answer: 4

Expected answer: 37

Correct? No

πŸ”— Problem

Problem: A bee lands on 33 flowers in an hour. If the bee is collecting 15 nectar droplets from each flower, how many nectar droplets does it have after an hour if it started with 26 nectar droplets?

Gemma 2B:

Reasoning: After an hour, the bee will have collected 15 * 33 = <<15*33=500>>500 nectar droplets.
### Answer: 500

Expected answer: 521

Correct? No

πŸ”— Problem

Problem: A company produces 36 marshmallow packs in an hour. To meet a sudden increase in demand, they decide to increase their production. They add an extra 350 marshmallows to their daily production, which is distributed evenly over 7 hours of their working day. Additionally, they add another 6 marshmallow packs to their hourly production. But, due to some limitations, they end up producing 43 less packs per hour than their goal. How many marshmallow packs per hour are they now producing?

Gemma 2B:

Reasoning: Initially, the production was 36 packs per hour.
They added 350 packs to their daily production, so they now produce 36 + 350 = 386 packs per hour.
They also added 6 packs to their hourly production, so they now produce 36 + 6 = 42 packs per hour.
However, they ended up producing 43 less packs per hour than their goal, so they now produce 36 - 43 = 7 packs per hour.

Expected answer: 49

Correct? No

πŸ”— Problem

Problem: A wizard casts a spell that produces 882 glimmering lights over a span of 21 days. That's an average of how many lights a day? In comparison, another wizard casts a spell that produces 460 glowing orbs in 20 days. What is the daily average here? Now, let's assume that the difference in their daily averages times the second wizard's daily average is a magical constant represented by 'n'. Can you find out what 'n' is?

Gemma 2B:

Reasoning: The difference between the two wizards' daily averages is 882 - 460 = <<882-460=422>>422.
The difference is approximately equal to the number of days the second wizard worked. Therefore, we can assume that the difference is equal to 'n'.
Hence, n = 422.
So, the daily average of the second wizard is 460/20 = <<460/20=23>>23 lights.

Expected answer: 437

Correct? No

πŸ”— Problem

Problem: A candy factory has 20 different flavors of candy. Their bestselling flavors are the Sugar Rush, which has 14 different base ingredients, the Candy Twirl, which has 25 base ingredients, and the Jawbreaker, which has 16 base ingredients. They create a Special Mix which combines all of these bestsellers and adds 43 extra goodies, including sprinkles and marshmallows. To create a limited edition candy, they take a piece of the Special Mix, add 7 uniquely crafted sweets, then combine this with one of each flavor from their 20 different flavored candies (excluding 19 of them so it's not too overwhelming). They then top it all off by removing 3 experimental sweets that didn't taste quite right. What is the count of various components used in creating this limited edition candy?

Gemma 2B:

### Answer: 7

Expected answer: 103

Correct? No

πŸ”— Problem

Problem: In a special operation, 32 police officers were assigned to the north district, 33 were sent to the south district, and 29 officers were held for the downtown district. After the operation, 21 officers from the downtown district were transferred elsewhere. A week later, on a different assignment, 39 officers were added to the remaining duty force. Later that day, another 14 officers joined the force. How many officers were on duty by the end of the day?

Gemma 2B:

Reasoning: Initially, there were 32+33+29 = <<32+33+29=94>>94 officers on duty.
After the transfer, there were 21+39 = <<21+39=60>>60 officers on duty.
Finally, there were 32+33+29+14 = <<32+33+29+14=94>>94 officers on duty by the end of the day.

Expected answer: 126

Correct? No

πŸ”— Problem

Problem: The distance between the Moon and the Earth changes throughout the month. On one particular day, the distance was 36 million kilometers but decreased by 19 million kilometers later in the month. Then it increased again by 11 million kilometers. If that distance, in millions of kilometers, times 19 minus 27 equals to a certain value, what is the value?

Gemma 2B:

### Answer: 100

Expected answer: 505

Correct? No

πŸ”— Problem

Problem: A tiger has an average step length of 9 meters. If a tiger took two steps and then leaped 44 meters, it would have covered a certain distance. Another tiger covered a distance combining 23 meters with a leap and a 46-meter run but then retraces the distance equal to the first tiger's steps and the leap. How much distance did the second tiger cover finally?

Gemma 2B:

Reasoning: The second tiger covered 23 + 44 = <<23+44=67>>67 meters.
### Answer: 67

Expected answer: 7

Correct? No

πŸ”— Problem

Problem: A toothpaste factory produces 26 tubes of toothpaste every hour. On Sundays, they work for 7 hours and produce additional 8 tubes of toothpaste. So, in one Sunday, they produce ((26 * 7) + 8) tubes. The following Monday, they continue their production by adding another 31 tubes to their Sunday's total. In parallel, in the packaging department, they have 50 empty boxes. They use 19 of them for another department, leaving them with (50 - 19) boxes. The total number of toothpaste tubes ready is calculated by adding the packaged boxes number with Monday's production. On Tuesday, they produced an additional 48 tubes of toothpaste. What is the total number of produced toothpaste tubes until Tuesday, inclusive?

Gemma 2B:

### Answer: 105

Expected answer: 300

Correct? No

πŸ”— Problem

Problem: In a magical forest, a unicorn has 42 rainbow pebbles. A day later, it finds 26 more. It also has a stash of 44 dreamberries. Later on, the unicorn gathers 33 more rainbow pebbles and adds them with its stash of dreamberries. Finally, the unicorn finds 40 magical dandelions and adds them to his stash, but oh no, he loses 14! How many items does the unicorn have altogether after these events?

Gemma 2B:

### Answer: 62

Expected answer: 171

Correct? No

πŸ”— Problem

Problem: A pirate captain has a treasure chest containing 23 types of jewels. Each type has 28 jewels. Tired from his adventure, he mistakenly lost 40 jewels on his way back to his ship. The next day, he luckily found 16 jewels from a deserted island. How many jewels does he have now in his treasure chest?

Gemma 2B:

Reasoning: First, the captain had 23 jewels. Then, he lost 40 jewels, leaving him with 23 - 40 = <<-17>>-17 jewels.
Next, he found 16 jewels, adding them to his collection to get 23 - 17 = <<6>>6 jewels.
### Answer: 6

Expected answer: 620

Correct? No

πŸ”— Problem

Problem: In a distant galaxy, a star shines brightly with 38 neutrons. It then gains 4 more. This total number gets multiplied by 18 to create a sensational energy output. During an explosion, it additionally releases the energy equivalent to 6 plus 25. How much total energy does the star emit?

Gemma 2B:

### Answer: 103

Expected answer: 787

Correct? No

πŸ”— Problem

Problem: A gardener planted 13 Sunflowers in his garden. The next day, he worked out that he needed to plant more, with the number being calculated as 37 times the number of petals on one sunflower, which is 5, minus 18. On the following day, he subtracted 10 flowers from that number, then added his initial sunflowers back, creating a new total. Meanwhile, he figured out that in a special part of his garden, ideal for 92 orchids he had, each spot can hold 23, so he calculated how many spots needed. By the end of the week, he summed up the total number of plants he worked on and the spots needed, then he doubled that total for no particular reason. How many did he end up with?

Gemma 2B:

### Answer: 13

Expected answer: 348

Correct? No

πŸ”— Problem

Problem: In a particular pond, there are 18 frogs. Each frog can catch 21 flies in a day. How many flies do all the frogs catch in a day?

Gemma 2B:

Reasoning: Each frog catches 21 flies in a day, so 18 frogs catch 18 * 21 = <<18*21=378>>378 flies in a day.
### Answer: 378

Expected answer: 378

Correct? Yes

πŸ”— Follow-up

Problem: Using the initial information from the previous problem where 18 frogs catch 21 flies each in a day (resulting in a total of 'j' flies), imagine the scenario where a particularly voracious toad comes by the next day and catches an additional 39 flies. How many flies have been caught in total over the two days then?

Gemma 2B:

Reasoning: The total number of flies caught in the two days is the sum of the flies caught by each frog, which is 21. Therefore, the total number of flies caught in the two days is 21 + 39 = <<21+39=60>>60.
### Answer: 60

Expected answer: 417

Correct? No

πŸ”— Follow-up

Problem: Using the information from the previous problem, now consider if the number of frogs in the pond increased to 46. If each frog can still catch 21 flies in a day, how many flies do all the frogs catch in a day now?

Gemma 2B:

Reasoning: Each frog still catches 21 flies in a day, so 46 frogs catch 46 * 21 = <<46*21=972>>972 flies in a day.
### Answer: 972

Expected answer: 966

Correct? No

πŸ”— Problem

Problem: A community center has 21 chairs in their main meeting room. They are supplemented with an additional 22 chairs from the storage room for a large event. How many chairs are in the meeting room now for the event?

Gemma 2B:

Reasoning: The main meeting room has 21 chairs, and the storage room has 22 chairs.
Therefore, the total number of chairs in the meeting room now is 21+22 = <<21+22=43>>43.
### Answer: 43

Expected answer: 43

Correct? Yes

πŸ”— Follow-up

Problem: Now, instead of starting with 21 chairs in the main meeting room at the community center, suppose they had only 12 chairs. They still supplement with an additional 22 chairs from the storage room for the event. How many chairs are in the meeting room now for the event?

Gemma 2B:

Reasoning: The initial number of chairs in the main meeting room was 21, and they added 22 chairs from the storage room.
Therefore, the total number of chairs in the meeting room now is 21+22 = <<21+22=43>>43.
### Answer: 43

Expected answer: 34

Correct? No

πŸ”— Problem

Problem: There are 14 elephants in a conservation park. This year, 11 new baby elephants were born, and the park received 25 more elephants from various rescues. How many elephants are there in the park now?

Gemma 2B:

Reasoning: The park started with 14 elephants, and 11 new baby elephants were born, so the total number of elephants is 14+11 = <<14+11=25>>25.
### Answer: 25

Expected answer: 50

Correct? No

πŸ”— Problem

Problem: A treasure chest contains 23 emeralds and 30 diamonds. Unfortunately, 39 of the stones are fake and had to be removed. The number of real stones left (y) is multiplied by itself and then 37 is subtracted to get a number (g) that represents the value of the chest. In another chest, there were 540 rubies which have been equally shared amongst 45 pirates, and then 3 are lost in the division. The remaining number (x) is subtracted from the value of the first chest (g) to get a new value. In the same chest as the rubies, there were also 23 pearls and 11 zirconias, but 9 pieces had to be discarded due to damage. The count (s) is subtracted from the new value to determine the value (m) of the remaining treasure. What is the value (m) of the remaining treasure?

Gemma 2B:

### Answer: 450

Expected answer: 125

Correct? No

πŸ”— Problem

Problem: There are 6 confirmed UFO sightings in a small city. After a viral event, sightings increase by a daily average obtained by dividing an additional 504 sightings over the next 14 days. Subtract the initial confirmed sightings from this new daily average. Then, multiply it by the result of taking the maximum number of sightings recorded in one day (9) and subtracting the number you would typically dismiss as random (3). How many sightings are there according to this calculation?

Gemma 2B:

### Answer: 12

Expected answer: 180

Correct? No

πŸ”— Problem

Problem: A blanket maker has 5 square patches of blue material. She wants to make an intricate design that requires her to subtract this from 26*25 square patches of red material. Then, she wants to compare this number to her stock of green material, which is 48*21 square patches, by subtracting the number of red patches from the green patches. How many patches is the difference between her stock of green patches and the red patches needed for the design?

Gemma 2B:

Reasoning: The difference between the green patches and the red patches is 48*21 - 26*25 = <<48*21-26*25=960-600>>360 patches.
### Answer: 360

Expected answer: 363

Correct? No

πŸ”— Problem

Problem: Lemonville is a small village known for its lemon trees. One year, the villagers picked 38 baskets of lemons from the trees near the river and 24 baskets from the ones near an old well. From the trees near the school, they picked 16 more baskets and from the trees near the mayor's house, they picked 13 more baskets. They realized that their lemons were heavier and they could extract more juice so they decided to get 35 baskets to make lemonade. If each basket of lemons could produce 14 bottles of lemonade, how many bottles of lemonade would they get from the remaining baskets?

Gemma 2B:

Reasoning: First, they combined the number of baskets from the trees near the river and the ones near the well, which is 38 + 24 = <<38+24=62>>62 baskets. Then, they combined the number of baskets from the trees near the school and the ones near the mayor's house, which is 16 + 13 = <<16+13=39>>39 baskets. Finally, they combined the number of baskets from the trees near the river and the ones near the well, which is 38 + 62 = <<38+62=100>>100 baskets. They got 35 baskets from the trees near the school and 100 baskets from the trees near the river and well, a total of 135 bottles of lemonade.

Expected answer: 784

Correct? No

πŸ”— Problem

Problem: Amy found 21 seashells in the sandbox, but gave 15 of them to her sister. The next day, she found another group of seashells that was 13 more than the amount she had remaining from the previous day. She also found an additional 49. Being a generous sister, she gave 23 to her brother and 27 to her cousin. How many seashells does Amy have left now?

Gemma 2B:

Reasoning: Amy started with 21, gave 15 to her sister, and found 13 more than what she had left the previous day.
So, she had 21 - 15 + 13 = <<21-15+13=13>>13 seashells left now.
### Answer: 13

Expected answer: 18

Correct? No

πŸ”— Problem

Problem: Princess Anna was playing a numbers game in the kingdom. In the first round of the game, she thought of two numbers: 7 and 10. She added them together. In the second round, she thought of a number 29. She subtracted the result from the first round and then subtracted 8 more from that result. In the final round, Princess Anna added the results from the first and second round and then multiplied the sum by the result from the second round. What was the final result of the Princess's game?

Gemma 2B:

### Answer: 105

Expected answer: 84

Correct? No

πŸ”— Problem

Problem: Ellen had 15 dollars. Meanwhile, Sam had 48 dollars but then he gave some money to Ellen. After Sam gave his money to Ellen, he had as much money as Ellen originally had. Then, Sam got 24 dollars from his brother. How much money does Sam have now?

Gemma 2B:

Reasoning: Ellen started with 15 dollars, Sam started with 48 dollars, and then Sam gave some money to Ellen, and then Sam got 24 dollars from his brother.
Sam had 15 + 48 - 24 = <<15+48-24=39>>39 dollars now.

Expected answer: 57

Correct? No

πŸ”— Problem

Problem: A group of scientists began studying a river and found that it was 33 kilometers long. To be thorough, they decided to also study a connected tributary, which added 19 kilometers to the total length of waterway they needed to investigate. However, they later realized that a 30-kilometer portion of the river was inaccessible and couldn't be studied. How many kilometers of the river were they able to study?

Gemma 2B:

Reasoning: The total length of the river was 33 km. The tributary added 19 km, so the total length of the river was 33 + 19 = <<33+19=52>>52 km.

Expected answer: 22

Correct? No

πŸ”— Problem

Problem: A photographer took 34 shots at a wedding but decided to remove 19 of them because they were out of focus. The next day he took an additional 21 shots at a different event. Then, he decided to add to this collection, 23 more shots he took on a third event. Similarly, another photographer took 880 shots at a large event and decided to select every 40th shot for his collection. What is the total number of shots in their collections combined?

Gemma 2B:

### Answer: 4050

Expected answer: 81

Correct? No

πŸ”— Problem

Problem: A pirate found a treasure chest containing 3 times the amount of his previous loot of 13 gold coins. After spending 22 of these coins for the crew's rum, he discovered another loot of 47 gold coins. How many gold coins does the pirate have now?

Gemma 2B:

Reasoning: The pirate started with 13 coins, and then he spent 22 coins for rum, leaving him with 13 - 22 = <<13-22=11>>11 coins.
He then found another 47 coins, so he ended up with 13 + 47 = <<13+47=60>>60 coins.
### Answer: 60

Expected answer: 64

Correct? No

πŸ”— Problem

Problem: A hiker traveled an average of 900 miles in 36 days. One day, he increases his daily average to 16 miles. This reduces his remaining journey by a certain number of days. After that, he finds a shortcut which saves him an additional 4 days, and a friendly traveller advised him of another path that will save him 40 days. If he also saves 21 days due to good weather, how many days in total did he save on his journey?

Gemma 2B:

Reasoning: After the first day, he increased his daily average by 6 miles.
After the first day, he had 36-1=35 days to cover.
After the first day, he saved 6 miles/day * 35 days = <<210>>210 days.
After the first day, he saved 210 + 4 = <<214>>214 days in total.
### Answer: 214

Expected answer: 74

Correct? No

πŸ”— Problem

Problem: A pillow manufacturing company produces 33 pillows every hour in round the clock operations. In a day, they realized they had incurred a loss of 43 pillows due to machine errors. What is the total number of pillows the company manufactured in a day after accounting for the losses?

Gemma 2B:

Reasoning: The company produced 33 pillows/hour x 24 hours/day = <<33/24=1.375>>1.375 pillows per day.
After accounting for the losses, the company manufactured 33-43 = <<33-43=-10>>-10 pillows in a day.
The total number of pillows manufactured in a day after accounting for the losses is 33+10 = <<43>>43 pillows.
### Answer: 43

Expected answer: 749

Correct? No

πŸ”— Problem

Problem: In a Castle, there are 5 rooms in one wing. The other wing has 216 bricks. Nowadays, there's a strange rule: one room is equivalent to 36 bricks. Following this, if we have to calculate the sum of total rooms from both wings by converting the number of bricks to the number of rooms. How many rooms would be considered in total according to this rule?

Gemma 2B:

Reasoning: There are 5 rooms in the first wing and 216/36 = <<6>>6 rooms in the second wing.
The total number of rooms = 5 + 6 = <<11>>11.
### Answer: 11

Expected answer: 11

Correct? Yes

πŸ”— Follow-up

Problem: In the same castle, there is a hidden underground passage which has 9 rooms. After discovering these, if you count all the rooms: the original five, the ones found in the second wing when converting the number of bricks to rooms, and these new rooms from the underground passage together. How many rooms are there in the castle in total?

Gemma 2B:

### Answer: 19

Expected answer: 20

Correct? No

πŸ”— Follow-up

Problem: Suppose when we originally counted, we made a mistake and there were actually 35 rooms in the first wing of the castle, not 5. If we still convert the bricks in the second wing into the equivalent number of rooms and add them to this new total, how many rooms are now in the castle excluding the underground passage rooms?

Gemma 2B:

Reasoning: There are 35 + 6 = <<41>>41 rooms in the castle, excluding the underground passage rooms.
### Answer: 41

Expected answer: 41

Correct? Yes

πŸ”— Problem

Problem: A player scored 15 goals each over 31 matches. However, due to an error, 43 of the goals were discounted. Later, the error was rectified and 40 goals were awarded back to the player. Unfortunately, after a reevaluation of the matches, 26 of those goals were deducted from the player again. How many goals does the player end up with?

Gemma 2B:

Reasoning: The player scored 15 goals over 31 matches, so each match had an average of 15/31 = <<0.5>>goals.
After the error, 43 goals were discounted, so the player had 15 - 43 = <<-28>>goals left.
After the error was rectified, 40 goals were awarded back to the player, so the player had 15 - 43 + 40 = <<5>>goals left.
Therefore, the player ends up with 5 goals.

Expected answer: 436

Correct? No

πŸ”— Problem

Problem: An aquarium has 9 tanks, each with 49 fish. However, 5 of the fish in one tank are relocated. What is the new total number of fish in the aquarium?

Gemma 2B:

Reasoning: There are 49 fish in each tank, and 5 are relocated.
Therefore, the new total number of fish in the aquarium is 49-5 = <<49-5=44>>44.
### Answer: 44

Expected answer: 436

Correct? No

πŸ”— Problem

Problem: In a card game, Jeremy has 14 cards. He then discards 19 of his cards, and then gains 32 more cards from the deck. How many cards does Jeremy have now?

Gemma 2B:

Reasoning: Jeremy started with 14 cards, then discarded 19, and then gained 32.
So, Jeremy has 14 - 19 + 32 = <<14-19+32=25>>25 cards now.

Expected answer: 27

Correct? No

πŸ”— Problem

Problem: A clock ticks 504 times in 42 minutes. Similarly, another clock ticks 279 times in 31 minutes. Add 34 to the rate of the second clock's ticks per minute. Multiply the first clock's ticks per minute by 35 and then subtract 41 from it. Finally, subtract the rate of the second clock (after adding 34) from the manipulated rate of the first clock. What is the final value?

Gemma 2B:

### Answer: 100

Expected answer: 336

Correct? No

πŸ”— Problem

Problem: Nina has noted down the rainfall of her town in centimeters over the last few days. On Tuesday, there was a rainfall of 39 cm. The rainfall decreased by 6 cm on Wednesday and further decreased by 31 cm on Thursday. How much rainfall did Nina note on Thursday?

Gemma 2B:

Reasoning: The rainfall on Tuesday was 39 cm. The rainfall on Wednesday was 39-6 = <<39-6=33>>33 cm. The rainfall on Thursday was 39-6-31 = <<39-6-31=4>>4 cm.
### Answer: 4

Expected answer: 2

Correct? No

πŸ”— Problem

Problem: A UFO-watching enthusiast reported seeing 50 UFOs in a month. However, a later investigation revealed that 36 of these were actually meteors. In the next month, the enthusiast reported seeing 41 UFOs, plus an amount equal to the revised (i.e., actual) number of UFO sightings from the previous month, with an additional 5. How many UFO sightings were reported by the enthusiast in the second month?

Gemma 2B:

Reasoning: The enthusiast saw 50 - 36 = <<50-36=14>>14 UFOs in the first month.
The enthusiast saw 41 + 5 = <<41+5=46>>46 UFOs in the second month.
### Answer: 46

Expected answer: 60

Correct? No

πŸ”— Problem

Problem: A cat started playing with yarn balls. In her first game, she managed to accumulate 5 yarn balls. In her second game, she got as many balls as the square of what she obtained in the first game plus 8 more. Finally, she lost some of her balls in her third game due to a playful dog. She ended the game with a number of balls which is 25 times the difference between 45 and what she accumulated from the second game. How many yarn balls does the cat have now?

Gemma 2B:

Reasoning: After the third game, the cat had 25 * (45 - 25) = 25 * 20 = 500 yarn balls.
### Answer: 500

Expected answer: 300

Correct? No

πŸ”— Problem

Problem: A basket contains 41 balls. The balls are split into two types - tennis balls and cricket balls. If we remove 16 balls from the basket, we get cricket balls. When 9 ping pong balls and 21 basketballs are added to the basket, what is the total number of balls in the basket?

Gemma 2B:

Reasoning: We remove 16 = <<16-41=25>>25 balls from the basket.
The remaining balls are 41 - 25 = <<41-25=16>>16 tennis balls and 21 basketballs.
The total number of balls in the basket is 41 - 16 = <<41-16=25>>25.

Expected answer: 55

Correct? No

πŸ”— Problem

Problem: The design of a classic wall clock dictates that there should be 1 number represented for every 12 around the clock face. However, your quirky modernist clockmaker friend wants to do things differently. They want to represent 37 hours on the clock's face, each hour has an equivalent of 1 square. Your friend has already completed 32 squares. They left their project for a while, and when they came back, they forgot how many squares they needed to fulfill their quirk. So they did some math to figure it out: they subtracted 32 from 37, added 42 to the result, and then subtracted 37 from that total. Suddenly, an idea occurred to them. What if they add 25 more squares for representing minutes on their quirky clock? Plus, they also wanted to add another 28 squares for seconds. Since your friend is a bit forgetful, they forgot how many squares they need again to finish their project. So, they did a little more math - added 41 to 25, followed by another 28, and then added 17 to the result. Because your friend didn't have enough material, they decided that they could reduce the total number of squares by 23. Finally, they added the number they figured out at the beginning (for hours) to this reduced number. Can you help your friend figure out how many squares they would need in total to complete their quirky clock?

Gemma 2B:

### Answer: 72

Expected answer: 98

Correct? No

πŸ”— Problem

Problem: An orange farm produced 2 times the 28 pounds of oranges they typically produce in a single day due to a new method. This production also multiplied by the 15 days of the harvest period. If the farm then added 16 pounds of a rare orange variant to this harvest, how much did the farm produce in total?

Gemma 2B:

Reasoning: The farm produced 2 * 28 = <<2 * 28=56>>56 pounds of oranges in a single day.
The farm produced 56 * 15 = <<56 * 15=840>>840 pounds of oranges in the harvest period.
The farm produced 56 + 16 = <<56+16=72>>72 pounds of a rare orange variant in total.
### Answer: 72

Expected answer: 856

Correct? No

πŸ”— Problem

Problem: A bus has 37 passengers. At the next stop, 20 more passengers get on. Before the bus reaches to the next stop, 44 passengers get off. Now, suppose this remaining number of passengers each pays an $11 fare, but the bus company also deducts a $14 service fee from the total fare. How much revenue does the bus company get?

Gemma 2B:

Reasoning: The number of passengers who get on and off is irrelevant to the total revenue.
Before the bus reaches the next stop, 37+20 = <<37+20=57>>57 passengers remain.
44 passengers get off, so the remaining passengers are 37-57 = <<37-57=-20>>-20.
The bus company collects 37-20 = <<37-20=17>>17 fare from the remaining passengers.
The total revenue is 37+20-44 = <<37+20-44=17>>17.
### Answer: $17

Expected answer: 129

Correct? No

πŸ”— Problem

Problem: A pirate found a treasure chest with 13 emeralds, 42 rubies, and 19 sapphires. He gave away 43 of these precious gems to his crewmates. How many gems did the pirate have left?

Gemma 2B:

Reasoning: The pirate gave away 43/13 = <<43/13=3>>3 gems to his crewmates.
The pirate had 13+42+19 - 43 = <<13+42+19-43=33>>33 gems left.

Expected answer: 31

Correct? No

πŸ”— Problem

Problem: A certain reserve has 16 ginger giraffes. They then bring in the same number of golden giraffes as they had of the ginger ones. Later, they decide to add another group of 46 greyish giraffes. What is the total number of giraffes in the reserve now?

Gemma 2B:

Reasoning: The reserve started with 16 giraffes, and they brought in 16 more ginger giraffes, so they now have 16 + 16 = 32 ginger giraffes. They then brought in the same number of golden giraffes as they had of the ginger ones, which was 16, so they now have 16 + 16 = 32 golden giraffes. Finally, they added 46 greyish giraffes, so they now have 16 + 16 + 46 = 72 giraffes in the reserve.

Expected answer: 78

Correct? No

πŸ”— Problem

Problem: A turtle decides to swim. One day, it travels as many leagues as 11 plus 10, then multiplies that by 16 to get the total distance it swam that week. Later, it realized it had over calculated the distance by 41 leagues. What is the real distance it swam that week?

Gemma 2B:

Reasoning: The turtle swam 11 + 10 = <<11+10=21>>21 leagues.
The turtle multiplied 21 by 16 = <<21*16=328>>328 leagues.
The real distance the turtle swam that week was 328 leagues.
### Answer: 328

Expected answer: 295

Correct? No