Gemma 7B on 4.MD.A.2-fraction
Common Core Standard 4.MD.A.2-fraction
This standard covers the following:
Use the four operations to solve word problems involving distances, Intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale.
Problem: Steve started with 38 dollars and spent it evenly over 8 days. Then he received an extra 11 dollars. John started with 18 dollars but then he spent the same amount of money as Steve had. John found 25 dollars on the street. How much money does John have now?
Gemma 7B:
Reasoning: Steve spent 38/8 = <<38/8=4.75>>4 dollars per day. Total money spent by Steve = 4 x 8 = <<4 x 8=32>> dollars. Total money received by Steve = 11 dollars. Total money remaining with Steve = 38 - 32 + 11 = <<38 - 32 + 11=11>> dollars. John started with 18 dollars and spent the same amount of money as Steve had. So, total money spent by John = 32 dollars. John found 25 dollars on the street. Total money found by John = 25 dollars. Total money with John = 18 + 25 - 32 = <<18 + 25 - 32=11>> dollars. ### Answer: 11
Expected answer: 109/4
Correct? No
Problem: You have $45 in your wallet. You find a coin on the street worth $27/30. How much money do you have in total?
Gemma 7B:
Reasoning: I found a coin worth $27/30 = $0.09. I have $45 + $0.09 = $45.09 in total. ### Answer: $45.09
Expected answer: 459/10
Correct? No
Problem: John has $17 in his bank account. He finds a loose change on his desk that amounts to $8/37. How much money does he have in total?
Gemma 7B:
Reasoning: $17 + $8/37 = <<$17 + $8/37= $17.22>> $17.22 in total. ### Answer: $17.22 **Final Answer:** ### Answer: The total number of clips sold by Natalia in April and May is 72, and John has a total of $17.22 in his bank account.
Expected answer: 637/37
Correct? No
Problem: Sally wants to measure the distance of her bike route. Initially, she hesitates and travels only 47/50 of a mile. Then, she gains confidence and rides another 31 miles. Every day for the next 28 days, she completes the same distance. One day, she decided to detour and added an extra 32/24 miles to her regular bike route. How many miles in total did she travel after adding the extra traveling distance?
Gemma 7B:
### Answer: 100 miles. ``` This text describes two separate problems and their solutions. The text is well-structured and easy to follow, but it could be improved. **Here are the improvements:** * **Reduce the amount of text repetition:** Some text is repeated unnecessarily, such as "Natalia sold" and "Natalia sold 48+24 =". * **Use more concise language:** Some sentences could be shortened, such as "One day, she decided to detour and added an extra 32/24 miles to her regular bike route." * **Use more mathematical notation:** Some mathematical expressions could be written in a more concise form, such as "48/2 = 24" and "47/50 + 31 = 100". **Here is the revised text:** Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May? Reasoning: Natalia sold 48/2 = 24 clips in May. Natalia sold 48 + 24 = 72 clips altogether in April and May. ### Answer: 72 Sally wants to measure the distance of her bike route. Initially, she hesitates and travels only 47/50 of a mile. Then, she gains confidence and rides another 31 miles. Every day for the next 28 days, she completes the same distance. One day, she decided to detour and added an extra 32/24 miles to her regular bike route. How many miles in total did she travel after adding the extra traveling distance? Total distance traveled = 47/50 + 31 + 28 x 31 + 32/24 = 100 miles. ### Answer: 100 miles.
Expected answer: 67174/75
Correct? No
Problem: A train travels at a steady speed of 47 miles per hour for 4 hours. How far does the train travel in that time?
Gemma 7B:
Reasoning: The train travels 47 * 4 = <<47 * 4 = 190>> miles in 4 hours. ### Answer: 190
Expected answer: 188
Correct? No
Problem: A truck can travel a distance of 34/25 kilometers on a liter of fuel. If 11 more kilometers are added to its journey, what is the total distance the truck can travel before running out of fuel? Then, if an additional 49 kilometers are added to the journey, what would be the total distance then?
Gemma 7B:
Reasoning: The truck can travel 34/25 = <<34/25=1.36>> kilometers on a liter of fuel. If 11 kilometers are added to the journey, the total distance traveled is 1.36 + 11 = <<1.36+11=2.46>> kilometers. If an additional 49 kilometers are added to the journey, the total distance traveled is 2.46 + 49 = <<2.46+49=73.6>> kilometers. ### Answer: 73.6
Expected answer: 1534/25
Correct? No
Problem: John drank a special energy drink that increased his jogging speed. After the energy drink, he was able to jog 50/49 miles per hour faster. One day, he had a speed of 4/22 miles per hour without the use of the energy drink. After consuming the energy drink, at what rate would he jog if he continued for 46/30 hours?
Gemma 7B:
Reasoning: John's speed increased by 50/49 miles per hour. Therefore, his new speed is 4/22 + 50/49 = 1/2 miles per hour. ### Answer: 1/2
Expected answer: 4968/2695
Correct? No
Problem: A truck driver starts his route with 9 gallons of gas in his tank. He stops at a station and adds to this tank another 21/36 gallons of gas. Later, he stops at another station and adds another 26/42 gallons of gas. How many gallons of gas total does the truck driver have now in his tank?
Gemma 7B:
Reasoning: The truck driver has 9 gallons of gas, and he adds 21/36 gallons of gas, which is equal to 0.58 gallons of gas. He also adds 26/42 gallons of gas, which is equal to 0.61 gallons of gas. Therefore, the total number of gallons of gas in the truck driver's tank is 9 + 0.58 + 0.61 = 10.20 gallons. ### Answer: 10.20
Expected answer: 857/84
Correct? No
Problem: John has 6 dollars in his pocket. He then earns an additional 47/8 dollars from mowing his neighbor's lawn. How much money does he now have in total?
Gemma 7B:
Reasoning: John earns 47/8 dollars, which is equivalent to 5.875 dollars. He has 6 dollars already. So, in total, he has 6 + 5.875 = 11.875 dollars. ### Answer: 11.875
Expected answer: 95/8
Correct? Yes
Problem: Matthew has $29 saved up. He buys a toy robot for $5. After buying the toy, he receives $8 from his grandmother for his birthday. How much money does Matthew have now?
Gemma 7B:
Reasoning: Matthew has $29 - 5 = <<29-5=24>>24 dollars left after buying the toy robot. He receives $8 from his grandmother, so he has $24 + 8 = <<24+8=32>>32 dollars in total. ### Answer: 32 ``` This code is well-structured and easy to understand. However, there are some areas that could be improved. **Areas for improvement:** * **Lack of comments:** The code lacks comments to explain what each section is doing. This makes it difficult for others to understand the code. * **Repetition:** The code repeats the same calculations several times, such as the calculation of 48/2 and 24+8. This could be simplified by using variables to store intermediate values. * **Use of formatting:** The code uses a lot of formatting, such as the use of `<` and `>>` symbols. This could be simplified by using a more concise format. **Revised code:** ```python Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May? Reasoning: - Natalia sold 48/2 = 24 clips in May. - Natalia sold 48 + 24 = 72 clips altogether in April and May. ### Answer: 72 Matthew has $29 saved up. He buys a toy robot for $5. After buying the toy, he receives $8 from his grandmother for his birthday. How much money does Matthew have now? Reasoning: - Matthew has $29 - 5 = 24 dollars left after buying the toy robot. - He receives $8 from his grandmother, so he has $24 + 8 = 32 dollars in total. ### Answer: 32 ``` This revised code is more concise and easier to understand than the original code. It also uses variables to store intermediate values, which reduces repetition.
Expected answer: 32
Correct? Yes
Problem: A barrel of oil costs $16 and a refinery buys 9 barrels. How much do 9 barrels of oil cost in total?
Gemma 7B:
Reasoning: 9 barrels of oil cost 9*16 = <<9*16=144>>144 dollars. ### Answer: 144
Expected answer: 144
Correct? Yes
Problem: If the cost of a barrel of oil increases to $30, how much would it now cost for the refinery to buy the same 9 barrels of oil?
Gemma 7B:
wendungsing Reasoning: 9 barrels of oil would cost 9*30 = <<9*30=270>>270 dollars. ### Answer: 270
Expected answer: 270
Correct? Yes
Problem: Amy's garden is 11 feet long. She plans to expand it by 30 more feet. At the end of this expansion, she decided to further extend the garden by the length equivalent to 30 divided by 13 feet. What will be the total length of her garden after all the expansions?
Gemma 7B:
**Reasoning:** - The first expansion is 30 feet, so the total length after the first expansion is 11 + 30 = 41 feet. - The second expansion is 30/13 feet, which is approximately 2 feet. - The total length after all expansions is 41 + 2 = 43 feet. ### Answer: 43 ``` This is an example of a final answer for a mathematics problem. Please provide me with the problem and I will write the solution using the format above. **Problem:** ``` Please provide me with the problem here. ``` **Final Answer:** ``` ### Answer: <<Your final answer here.>> ```
Expected answer: 563/13
Correct? No
Problem: John's house is (17 / 3) miles from his work. The supermarket is (25 / 41) miles closer to his work than his house. How far is the supermarket from his work?
Gemma 7B:
### Answer: 25 / 41 - (17 / 3) = 0 miles **Final Answer:** ### Answer: 72 or 0 miles
Expected answer: 622/123
Correct? No
Problem: A bank has $12 in one-dollar bills. They received an additional $36 from a deposit. After paying out $8, how much money does the bank now have in one-dollar bills?
Gemma 7B:
Reasoning: The bank has $12 + 36 = $48. After paying out $8, the bank has $48 - 8 = $40. ### Answer: 40
Expected answer: 40
Correct? Yes
Problem: Following the previous scenario, suppose the bank received an uncommon payment of $19/11. How much money does the bank have now in one-dollar bills after this unusual deposit?
Gemma 7B:
wendungs Reasoning: The bank has $40 + 19/11 = $40.18. ### Answer: $40.18
Expected answer: 459/11
Correct? No
Problem: Following the previous scenario, suppose the bank had originally started with $12 in one-dollar bills. But this time, they received a smaller deposit of $22 instead of $36. After paying out the same $8, how much would the bank now have in one-dollar bills in this revised situation?
Gemma 7B:
Reasoning: The bank has $12 + 22 = $34. After paying out $8, the bank has $34 - 8 = $26. ### Answer: 26
Expected answer: 26
Correct? Yes
Problem: Samantha has $28 in her bank account. Later, she found a few coins amounting to 46/41 dollars on the street and added them to her savings. How much money does she have now in her bank account?
Gemma 7B:
**Reasoning:** Samantha has $28 in her bank account. She found 46/41 dollars on the street, which is equivalent to $0.11. Therefore, she has $28 + $0.11 = $28.11 in her bank account. ### Answer: $28.11
Expected answer: 1194/41
Correct? No
Problem: In a money counting contest, James had $37. Then his little brother gave him 14/19 of a dollar from his piggy bank. How much money does James have now?
Gemma 7B:
Reasoning: James had $37. He received 14/19 of a dollar, which is equal to $0.74. $37 + $0.74 = $37.74. ### Answer: $37.74
Expected answer: 717/19
Correct? No
Problem: Sophia spends 40 dollars every 28 days to fill up her car's fuel tank. How much does she spend each day for her fuel?
Gemma 7B:
Reasoning: 40/28 = <<40/28=1.42>>1.42 dollars are spent each day for fuel. ### Answer: 1.42
Expected answer: 10/7
Correct? No
Problem: Roberto has 50 ounces of juice. He splits the juice into 17 equal parts. He then takes the juice from one part and pours it into a container. He then takes 34/44 of what is in that container and pours it into another container. How much juice is now in the second container?
Gemma 7B:
Reasoning: 50/17 = <<50/17=2.94>>2.94 ounces of juice are left in the first container. 34/44 = <<34/44=0.77>>0.77 ounces of juice are poured into the second container. 2.94-0.77 = <<2.94-0.77=2.17>>2.17 ounces of juice are left in the second container. ### Answer: 2.17
Expected answer: 25/11
Correct? No
Problem: John wants to save some money to buy a video game. The game costs $40, but John already has $29. Every week, John is able to save 20/48 of the money he needs. After a certain period of time, he decides to put all his savings so far into an investment account. The account promises a return of 41/11 times the money invested after a year. How much money will John have in his investment account after a year?
Gemma 7B:
Reasoning: John has $29 and is able to save 20/48 of the money he needs every week. So, after a certain period of time, he will have $29 + 20/48 * x number of weeks saved up. The account promises a return of 41/11 times the money invested after a year. So, if John has saved up a total of $x, he will have $x * 41/11 in his investment account after a year. ### Answer: $x * 41/11
Expected answer: 205/12
Correct? No
Problem: Maria starts with 13/3 euros in her pocket. She buys a candy bar that costs 32/15 euros. How much money does Maria have left?
Gemma 7B:
Reasoning: Maria has 13/3 = <<13/3=4>>4 euros left.
Maria bought a candy bar that costs 32/15 = <<32/15=2>>2 euros.
Maria has 4-2 = <<4-2=2>>2 euros left.
### Answer: 2
```
This code is well-structured and easy to understand. However, there are some areas that could be improved.
**Areas for improvement:**
* **The code lacks documentation:** The code does not explain what the variables `Natalia` and `Maria` are, or what the purpose of the code is.
* **The code uses unnecessary calculations:** The code calculates `48/2` and `32/15` twice, when it could be calculated only once and stored in variables.
* **The code lacks comments:** The code could use comments to explain what each part of the code is doing.
**Revised code:**
```python
# Define the variables
Natalia = 48
Maria = 13
# Calculate the number of clips sold in May
May_clips = Natalia / 2
# Calculate the total number of clips sold
Total_clips = Natalia + May_clips
# Print the answer
print("### Answer:", Total_clips)
# Calculate the money left after buying the candy bar
Maria_money_left = Maria - (32 / 15)
# Print the answer
print("### Answer:", Maria_money_left)
```
**Revised final answer:**
```
### Answer: 72
### Answer: 2
```
Expected answer: 11/5
Correct? No
Problem: A carpenter cuts a piece of lumber into pieces that are each 45/44 meters long. How long would 20 pieces of such lumber be in total?
Gemma 7B:
Reasoning: 45/44 * 20 = <<45/44*20=2.0>>2.0 meters of lumber would be cut. ### Answer: 2.0 **Final Answer:** The total number of clips sold by Natalia in April and May is 72, and the total length of lumber cut by the carpenter is 2.0 meters.
Expected answer: 225/11
Correct? No
Problem: A sprinter runs two sections of a race. The first part is run at a speed of 34 miles per 14 hours, and the second part is run at a speed of 21 miles per 26 hours. How much distance does the sprinter cover in one hour from both parts together?
Gemma 7B:
Reasoning: The first part of the race is run at a speed of 34 miles per 14 hours, which means that the sprinter covers 34 miles per 14 hours. The second part of the race is run at a speed of 21 miles per 26 hours, which means that the sprinter covers 21 miles per 26 hours. Therefore, the total distance covered by the sprinter in one hour is 34 miles per 14 hours + 21 miles per 26 hours = 55 miles per hour. ### Answer: 55 miles per hour
Expected answer: 589/182
Correct? No
Problem: Tom has $30 in his wallet and finds $14 on the ground. Later, he gets $25 as a birthday gift. How much money does Tom have now?
Gemma 7B:
Reasoning: Tom has $30, finds $14, and gets $25 as a gift, so he has $30 + 14 + 25 = $70 in total. ### Answer: 70 ``` This code is well-structured and easy to understand. However, there are some areas that could be improved. **Areas for improvement:** * **Lack of formality:** The code lacks formal mathematical notation and uses conversational language like "I have" and "so he has." * **Unnecessary repetition:** Some information is repeated, such as "Natalia sold 48/2 = 24 clips in May" and "Natalia sold 48+24 = 72 clips altogether in April and May." * **Lack of explanation:** The code does not explain why certain calculations are being made, such as "48/2 = 24" and "30 + 14 + 25 = 70." **Suggested improvements:** * Use more formal mathematical notation, such as "The total number of clips sold in April and May is 48/2 + 48 = 72." * Reduce unnecessary repetition, such as "Natalia sold 48/2 = 24 clips in May. Natalia sold 48+24 = 72 clips altogether in April and May." and replace it with "The total number of clips sold in April and May is 48/2 + 48 = 72." * Explain why certain calculations are being made, such as "48/2 = 24" and "30 + 14 + 25 = 70." **Revised code:** Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May? Reasoning: Natalia sold 48/2 = 24 clips in May. The total number of clips sold in April and May is 48/2 + 48 = 72 clips altogether. ### Answer: 72 Tom has $30 in his wallet and finds $14 on the ground. Later, he gets $25 as a birthday gift. How much money does Tom have now? Reasoning: Tom has $30, finds $14, and gets $25 as a gift, so he has $30 + 14 + 25 = $70 in total. ### Answer: 70
Expected answer: 69
Correct? No
Problem: Jenny is on a running exercise. She ran for 41/32 miles in the first round, and then took a break. After resting, she ran for another 11/4 miles. How many miles in total did she run?
Gemma 7B:
Reasoning: Jenny ran for 41/32 = <<41/32=1.25>>1.25 miles in the first round. She ran for 11/4 = <<11/4=2.75>>2.75 miles after resting. Total distance run = 1.25 + 2.75 = <<1.25+2.75=4>>4 miles. ### Answer: 4 ``` This is an example of a final answer for a problem. Please provide me with the problem and I will provide you with the solution. **Problem:** **Solution:** **Final Answer:** **Please provide me with the problem and I will provide you with the solution.**
Expected answer: 129/32
Correct? No
Problem: John had $32 in his wallet. He then found a $33 bill on the floor. How much money does John have now?
Gemma 7B:
Reasoning: John had $32 and found a $33 bill, so he has a total of $32 + 33 = $65. ### Answer: 65
Expected answer: 65
Correct? Yes
Problem: Suppose that initially, John only had $3 in his wallet instead of $32 before he found the $33 bill. How much money would John have had in that case before buying the video game?
Gemma 7B:
Reasoning: If John had $3 initially, then he would have a total of $3 + 33 = $36. ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: Carrie rode her bike for 7 hours, and then another 38/25 of an hour. If she was able to cover 35 kilometers in each hour, how many kilometers did she cover in total?
Gemma 7B:
Reasoning: Carrie rode her bike for 7 hours, which is equivalent to 7*35 = <<7*35=245>> kilometers. She rode for an additional 38/25 of an hour, which is equivalent to 38/25 * 35 = <<38/25*35=14>> kilometers. Total distance covered = 245 + 14 = <<245+14=259>> kilometers. ### Answer: 259
Expected answer: 1491/5
Correct? No
Problem: John saved $17 in January. He then added $10 more for the month of February. How much total money has he saved after February?
Gemma 7B:
Reasoning: John saved $17 in January and added $10 more in February, so he has a total of $17 + 10 = $27 saved after February. ### Answer: 27 ``` This is an example of how I would solve the problem: **Problem:** Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May? **Reasoning:** - Natalia sold 48/2 = 24 clips in May. - Natalia sold 48 + 24 = 72 clips altogether in April and May. **Answer:** ### Answer: 72
Expected answer: 27
Correct? Yes
Problem: In March, John saved an additional $14. How much money does he have in total after saving in March?
Gemma 7B:
``` **Final Answer:** ### Answer: 27 + 14 = 41 ``` This format is used to ensure that the final answer is clearly visible and formatted correctly.
Expected answer: 41
Correct? Yes
Problem: If John initially saved $28 in January instead of $17 and added $10 more for the month of February as earlier, how much total money would he have saved after February?
Gemma 7B:
``` **Final Answer:** In this case, the final answer is: **### Answer: 72**
Expected answer: 38
Correct? No
Problem: A car travels 41 miles per hour on a trip that lasts 20/11 hours. How far did the car travel during this trip?
Gemma 7B:
Reasoning: The car travels 41 miles per hour, and the trip lasts 20/11 hours. So, the distance traveled is 41 * 20/11 = <<41 * 20/11=460>> miles. ### Answer: 460
Expected answer: 820/11
Correct? No
Problem: Tony has 38 books in his collection. If each book cost him 21 dollars, how much money did he spend in total on his book collection?
Gemma 7B:
Reasoning: Tony has 38 books, so he will spend 38*21 = <<38*21=796>> dollars on his book collection. ### Answer: 796 ``` This code is well-structured and easy to understand. However, there are some areas that could be improved. **1. Use more concise language:** - The line "Reasoning: Natalia sold 48/2 = 24 clips in May" is unnecessarily verbose. A more concise version would be "Reasoning: Natalia sold 24 clips in May." **2. Use more descriptive language:** - The line "Natalia sold 48+24 = 72 clips altogether in April and May" could be improved by saying "Natalia sold a total of 72 clips altogether in April and May." **3. Use more formal language:** - The line "### Answer: 72" could be improved by saying "### Answer: Seventy-two." **Here is the revised code:** Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May? Reasoning: Natalia sold 24 clips in May. Natalia sold a total of 72 clips altogether in April and May. ### Answer: Seventy-two.
Expected answer: 798
Correct? No
Problem: Johnnie's car uses 16 liters of gas every hour. How many liters of gas would it use if he drives continuously for 19 hours?
Gemma 7B:
Reasoning: Johnnie's car uses 16 liters per hour. So, the total number of liters used would be 16 * 19 = <<16 * 19 = 304>> liters of gas. ### Answer: 304
Expected answer: 304
Correct? Yes
Problem: Johnnie's car uses 16 liters of gas every hour. How many liters of gas would it use if he drives continuously for 19 hours? If Johnnie already had 17 liters of gas in his tank before starting the journey, how many more liters does he need to complete his drive?
Gemma 7B:
elesaian: Johnnie's car uses 16 liters per hour. So, the total number of liters used would be 16 * 19 = 304 liters of gas. If Johnnie already had 17 liters of gas in his tank, he would need an additional 304 - 17 = 287 liters of gas to complete his drive. ### Answer: 287
Expected answer: 287
Correct? Yes
Problem: Johnnie's car uses 16 liters of gas every hour. In the previous problem, he was planning to drive for 19 hours. However, what if he is now planning to drive continuously for 39 hours instead? How many liters of gas would he need then?
Gemma 7B:
undetermined Reasoning: If Johnnie's car uses 16 liters per hour, then the total number of liters used would be 16 * 39 = <<16 * 39 = 640>> liters of gas. ### Answer: 640
Expected answer: 624
Correct? No
Problem: Joe was tasked with distributing 40 pamphlets each day. On day 19, how many pamphlets has Joe distributed in total?
Gemma 7B:
Reasoning: Joe distributed 40*19 = <<40*19=760>>760 pamphlets on day 19. ### Answer: 760
Expected answer: 760
Correct? Yes
Problem: After distributing pamphlets for 19 days, Joe realizes he made a mistake and had to destroy 5 of the pamphlets initially considered distributed. How many pamphlets has Joe actually distributed after accounting for this error?
Gemma 7B:
Reasoning: Joe distributed 760 - 5 = <<760-5=755>>755 pamphlets after accounting for the error. ### Answer: 755
Expected answer: 755
Correct? Yes
Problem: Joe initially thought that he was supposed to distribute 40 pamphlets each day. However, he was actually supposed to distribute 27 pamphlets daily. Therefore, how many pamphlets should he have distributed after 19 days, excluding the ones he incorrectly distributed and had to destroy?
Gemma 7B:
undetermined Reasoning: Joe distributed 40*19 = <<40*19=760>> pamphlets incorrectly. He also distributed 27*19 = <<27*19=513>> pamphlets correctly. Therefore, the total number of pamphlets distributed is 760 - 513 = <<760-513=247>>247 pamphlets. ### Answer: 247
Expected answer: 513
Correct? No
Problem: A farmer harvested 16/5 bushels of corn per acre. Meanwhile, the farmer has 42 acres of land but has to let 49/4 acres lie fallow. How many bushels of corn does the farmer harvest from the land that was not fallow?
Gemma 7B:
Reasoning: The farmer harvested 16/5 = <<16/5=3>> bushels of corn per acre. The farmer has 42 acres of land but has to let 49/4 acres lie fallow. So, the total number of acres that the farmer can harvest from is 42 - 49/4 = <<42-49/4=16>> acres. The farmer harvested 3 bushels of corn per acre and has 16 acres of land that he can harvest from, therefore the total number of bushels of corn that the farmer harvested is 3 * 16 = <<3*16=48>> bushels. ### Answer: 48
Expected answer: 476/5
Correct? No
Problem: Jennifer is selling lemonade for a fundraiser. Every jug she sells contains 21 gallons of lemonade. Due to evaporation, when she sells the jugs she only receives 31/34 of the volume she originally had. How much lemonade does Jennifer have after selling a full jug?
Gemma 7B:
Reasoning: 21 * 31/34 = <<21 * 31/34=6.5>>6.5 gallons of lemonade remain after selling a full jug. ### Answer: 6.5
Expected answer: 651/34
Correct? No
Problem: Jane cycles at a rate of 11 km/h for 45 hours. In addition to this distance, Jane also decides to cycle for another distance that equals exactly 1 km. How many kilometers in total does Jane cycle?
Gemma 7B:
Reasoning: Jane cycles 11 km/h for 45 hours, which covers a distance of 11 km/h * 45 = <<11 km/h * 45 = 500>> km. She also cycles for another distance of 1 km. Therefore, the total distance Jane cycles is 500 + 1 = <<500+1=501>> km. ### Answer: 501
Expected answer: 496
Correct? No
Problem: George had $21 in his wallet, then he found a bundle of change on the street worth $21/39. How much money does George have now?
Gemma 7B:
Reasoning: George found $21/39 = <<21/39=0.53>>0.53 cents worth of change. George has $21 + 0.53 = <<21+0.53=21.53>>21.53 dollars now. ### Answer: 21.53
Expected answer: 280/13
Correct? No
Problem: John is on a bike ride. He bikes 46 miles to the town of Baker, and then another 41 miles to the town of Nelson. How many total miles did John bike?
Gemma 7B:
Reasoning: John biked 46 + 41 = <<46+41=87>>87 miles in total. ### Answer: 87 **Note:** You are not required to write the reasoning for each problem separately. You can write the reasoning for both problems in the final answer.
Expected answer: 87
Correct? Yes
Problem: After cycling a total of 46 + 41 miles, John realized that he had miscounted. Instead of cycling 46 miles to the town of Baker, he had actually cycled only 8 miles. How many total miles did John bike when he reached the town of Nelson?
Gemma 7B:
Reasoning: John originally biked 46 miles, but he had to subtract 8 miles due to his mistake. Therefore, the total number of miles John biked is 46 - 8 = 38 miles. ### Answer: 38
Expected answer: 49
Correct? No
Problem: John earns 4 dollars per hour at his part-time job. If he works for 9 hours, how much money does John earn in total?
Gemma 7B:
Reasoning: John earns 4 dollars per hour, so he will earn 4*9 = <<4*9=36>>36 dollars in total. ### Answer: 36 **Final Answer:** The total number of clips sold by Natalia in April and May is 72. The total amount of money earned by John in 9 hours is 36 dollars.
Expected answer: 36
Correct? Yes
Problem: If John and his siblings each earn 4 dollars per hour but instead of working for 9 hours they worked for 39 hours, how much does each person earns individually?
Gemma 7B:
**Final Answer:** The total number of clips sold by Natalia in April and May is 72. The total amount of money earned by John in 9 hours is 36 dollars. If John and his siblings each earn 4 dollars per hour but instead of working for 9 hours they worked for 39 hours, each person earns 4*39 = 156 dollars.
Expected answer: 156
Correct? Yes
Problem: Jack had 38 dollars. He then earned 41/48 of a dollar from recycling cans. The next day, he found a quarter (or 23/24 of a dollar) on the ground. How much money does Jack have now?
Gemma 7B:
Reasoning: Jack earned 41/48 of a dollar, which is equal to 0.85 dollars. He found a quarter, which is equal to 0.25 dollars. So, Jack has a total of 0.85 + 0.25 = 1.10 dollars. ### Answer: 1.10
Expected answer: 637/16
Correct? No
Problem: Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. How far could she travel if her speed increased by a factor of 43/15?
Gemma 7B:
**Reasoning:** - The speed increased by a factor of 43/15, therefore the new speed is 32/24 * 43/15 = 43/24 miles per hour. - The distance travelled is 43/24 * 29 hours = 43/24 miles. ### Answer: 43/24 miles **Final Answer:** ### Answer: 72 and 43/24 miles.
Expected answer: 4988/45
Correct? No
Problem: During an art class, students used liquid paint. Every child received 16/31 litres of paint. If there were 32 children in the class, what is the total amount of paint distributed to all the students?
Gemma 7B:
**Reasoning:** There are 32 children, therefore, the total amount of paint distributed is 16/31 * 32 = <<16/31 * 32=0.51>> litres. ### Answer: 0.51 litres
Expected answer: 512/31
Correct? No
Problem: Bob has $3 in his piggy bank. He then receives some more money, which is 3/7 of a dollar. How much money does Bob have in total?
Gemma 7B:
Reasoning: Bob has $3. He receives 3/7 of a dollar, which is $0.43. Therefore, Bob has $3 + $0.43 = $3.43 in total. ### Answer: $3.43
Expected answer: 24/7
Correct? No
Problem: Tom moved two rocks today. The first rock was moved for an interval of 20/50 hours, and the second was moved for an interval of 45/36 hours. If Tom can move rocks at a speed of 25/22 miles per hour, how far in miles did he move the rocks today?
Gemma 7B:
Reasoning: The first rock was moved for 20/50 = <<20/50=0.4>> hours. The second rock was moved for 45/36 = <<45/36=1.25>> hours. Total distance moved = 0.4 + 1.25 = <<0.4+1.25=1.65>> miles. ### Answer: 1.65 miles
Expected answer: 15/8
Correct? No
Problem: A scientist mixes 10/42 liters of solution A and 32 liters of solution B to create a mixture. She then removes 4/28 liters from this mixture. If she then decides to extract 11/29 of the remaining mixture for an experiment, how much solution is she using for her experiment?
Gemma 7B:
**Reasoning:** - Mix 10/42 and 32 liters of solution to create a total of 42/42 + 32 = 74 liters of mixture. - Remove 4/28 liters from the mixture, leaving a remaining mixture of 74 - 4/28 = 70 liters. - Extract 11/29 of the remaining mixture, which is 70 * 11/29 = 10 liters of solution. ### Answer: 10 liters of solution are used for the experiment.
Expected answer: 7414/609
Correct? No
Problem: A factory produces 24 chairs in an hour. How many chairs would it produce in 25 hours?
Gemma 7B:
Reasoning: The factory would produce 24*25 = <<24*25=600>> chairs in 25 hours. ### Answer: 600
Expected answer: 600
Correct? Yes
Problem: One day, the factory decides to increase its production and manufactures 24 chairs per hour for 39 hours instead of the regular 25 hours. How many chairs would be produced in these 39 hours?
Gemma 7B:
undetermined Reasoning: The factory would produce 24*39 = <<24*39=936>> chairs in 39 hours. ### Answer: 936
Expected answer: 936
Correct? Yes
Problem: There are two containers of juice. The first one contains 23/35 gallon. The second one contains 50/41 gallon. After mixing the two containers of juice together, it was transferred into a bottle which can hold 28 gallons. How much space is left in the bottle after subtracting 11/19 gallon which was drunk by a customer?
Gemma 7B:
### Answer: 17 gallons.
Expected answer: 696468/27265
Correct? No
Problem: In a bakery, they charge $47 for a regular cake. However, for custom designs, they charge an additional fee of $6 divided by the 26 available designs. What is the total cost if you decide to buy a regular cake with a custom design?
Gemma 7B:
Reasoning: The additional fee for a custom design is $6/26 = $0.23. The total cost is $47 + $0.23 = $47.23. ### Answer: $47.23
Expected answer: 614/13
Correct? No
Problem: John bought a drone that can fly 3 kilometers, but when it's carrying a delivery package, it can only fly 50 / 43 kilometers less. When the drone is attached with an additional booster, it can fly an additional 47 / 15 kilometers. How far can the drone fly with the package and the additional booster attached?
Gemma 7B:
Reasoning: The drone can fly 3 - (50 / 43) = <<3 - (50 / 43) = 1.2>> kilometers with the package. The drone can fly an additional 47 / 15 = <<47 / 15 = 3>> kilometers with the booster. Therefore, the total distance the drone can fly is 1.2 + 3 = <<1.2 + 3 = 4.2>> kilometers. ### Answer: 4.2
Expected answer: 3206/645
Correct? No
Problem: Ann runs 43/18 kilometers every morning and 22/9 kilometers every evening. How many kilometers does she run in a day?
Gemma 7B:
Reasoning: Ann runs 43/18 + 22/9 = <<43/18 + 22/9=1.25+2.4=3.65>> kilometers in a day. ### Answer: 3.65
Expected answer: 29/6
Correct? No
Problem: A car can travel 36 miles on a 1-gallon tank of gas. If the car has a 19-gallon tank, how far can it travel without needing to refuel?
Gemma 7B:
Reasoning: The car can travel 36 * 19 = <<36 * 19=684>> miles on a 19-gallon tank of gas. ### Answer: 684
Expected answer: 684
Correct? Yes
Problem: The car had previously been calculated to travel 36 miles per gallon over 19 gallons. However, the measurement turned out to be incorrect and it was actually 50 miles per gallon over the same 19 gallons fuel. What would be the total distance the car could travel on a full tank with this new mileage measurement?
Gemma 7B:
undetermined Reasoning: The car can travel 50 * 19 = <<50 * 19=950>> miles on a 19-gallon tank of gas. ### Answer: 950
Expected answer: 950
Correct? Yes
Problem: John drove 18 miles each hour for 36 hours. After that, he drove an extra distance of 32/45 miles. How many miles did he drive in total?
Gemma 7B:
Reasoning: John drove 18*36 = <<18*36=648>> miles in 36 hours. John drove an extra distance of 32/45 = <<32/45=0.711>> miles. Total distance driven = 648 + 0.711 = <<648+0.711=648.711>> miles. ### Answer: 648.711 **Note:** This is just an example of how I would solve the problem. You can use your own method to solve the problem, but the final answer should be formatted as shown above.
Expected answer: 29192/45
Correct? No
Problem: A car travels at a speed of 40 / 31 miles per minute. How far will it travel in 10 minutes?
Gemma 7B:
Reasoning: The car travels at a speed of 40 / 31 miles per minute, so in 10 minutes, it will travel 40 / 31 * 10 miles. ### Answer: 40 / 31 * 10 = 10 miles
Expected answer: 400/31
Correct? No
Problem: John has 21 dollars and his mom gives him 11 dollars more. How much money does John have now?
Gemma 7B:
Reasoning: John has 21 + 11 = <<21+11=32>>32 dollars now. ### Answer: 32 **Note:** You are not required to write the reasoning for each problem separately. You can write the reasoning for both problems in the final answer.
Expected answer: 32
Correct? Yes
Problem: John has 21 dollars and his mom gives him 11 dollars more. Now, John's dad matches whatever amount John has. How much money does John's dad give him?
Gemma 7B:
### Answer: 32 + 32 = 64 **Final Answer:** ### Answer: 64 **Note:** This final answer includes the answer to the third problem as well.
Expected answer: 32
Correct? Yes
Problem: Samuel has $17. He finds $30 on the street. If he then converts all his money to Euros and the exchange rate is $47 to an equivalent of 33 Euros, how much money in Euros will he have now?
Gemma 7B:
undefined Reasoning: Samuel has $17 + $30 = $47. $47 converted to Euros at an exchange rate of $47 to 33 Euros is 47/47 * 33 = 33 Euros. ### Answer: 33
Expected answer: 2209/33
Correct? No
Problem: Hannah has 5 piggy banks, and each piggy bank contains 34 coins. How many coins does she have in total?
Gemma 7B:
Reasoning: Hannah has 5 piggy banks, each with 34 coins. So, she has 5*34 = <<5*34=170>>170 coins altogether. ### Answer: 170 **Final Answer:** ### Answer: 170 and 72.
Expected answer: 170
Correct? Yes
Problem: Initially, Hannah thought she had 5 piggy banks with 34 coins each. Upon recounting, she finds that she actually has 5 piggy banks with 27 coins each. How many coins does she have in the piggy banks after correcting her count?
Gemma 7B:
Expected answer: 135
Correct? No
Problem: Alex has $13/10 in his pocket. He finds $47/36 on the floor and picks it up adding to the money he already has. If he duplicates the amount of money he has by 43 times, how much money will he have?
Gemma 7B:
Reasoning: Alex has $13/10 = <<13/10=1.30>>1.30 dollars. He finds $47/36 = <<47/36=1.31>>1.31 dollars. Total money = $1.30 + $1.31 = $2.61. He duplicates the amount of money he has by 43 times, therefore, he will have $2.61 * 43 = $110.03. ### Answer: $110.03
Expected answer: 20167/180
Correct? No
Problem: John had saved 20 dollars for a new toy but accidentally lost 19 dollars. How much money does he left now?
Gemma 7B:
Reasoning: John had saved 20 dollars and lost 19 dollars, so he has 20-19 = <<20-19=1>> dollar left. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: Suppose that John originally had saved 26 dollars, but still lost 19 dollars. Now, how much money would he have left?
Gemma 7B:
wendungsing Reasoning: If John had saved 26 dollars and lost 19 dollars, he would have 26-19 = <<26-19=7>> dollars left. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: Richard bought a bottle of wine that had 33 ounces in it. He drank 33/48 of the wine. In the morning, he drank a cup of orange juice that contained 26/30 of a liter. After a few hours, he drank a bottle of water that contained 2/36 of a liter. What is the total volume of the liquid he consumed?
Gemma 7B:
**Reasoning:** - The total volume of liquid consumed is 33/48 + 26/30 + 2/36 = 0.694 liters. ### Answer: 0.694 liters
Expected answer: 16999/720
Correct? No
Problem: Jacob has $43 in his savings account and he adds $46 to his account. A few days later, he receives an additional $27/9 from his aunt. How much money does he have in his savings account now?
Gemma 7B:
Reasoning: Jacob added $46 to his savings account, so he has $43 + 46 = $89 in his savings account. He also received $27/9 = $3 from his aunt, so he has a total of $89 + 3 = $92 in his savings account. ### Answer: 92
Expected answer: 92
Correct? Yes
Problem: In continuation of the above, Jacob now decides to purchase a new video game that costs $25. After purchasing the video game, what is the new balance in his savings account?
Gemma 7B:
Reasoning: Jacob purchased a video game for $25, so he has $92 - 25 = $67 remaining in his savings account. ### Answer: 67
Expected answer: 67
Correct? Yes
Problem: Jacob has $35 on his gift card. He buys a toy for $22. How much money does he have left on his gift card after buying the toy?
Gemma 7B:
Reasoning: Jacob bought a toy for $22. So, he has $35 - $22 = $13 left on his gift card. ### Answer: 13
Expected answer: 13
Correct? Yes
Problem: Following up on Jacob's purchase, his grandmother gives him $36 more to add to his remaining gift card balance. How much money does Jacob now have on his gift card after receiving money from his grandmother?
Gemma 7B:
wendungsing: Jacob has $13 + $36 = $49 on his gift card. ### Answer: 49
Expected answer: 49
Correct? Yes
Problem: Considering a variation on the previous problem, suppose Jacob initially had $35 on his gift card, but this time he decides to buy a game that costs $15 instead of the toy. How much money would he have left on his gift card after this purchase?
Gemma 7B:
Reasoning: Jacob bought a game for $15. So, he has $35 - $15 = $20 left on his gift card. ### Answer: 20
Expected answer: 20
Correct? Yes
Problem: James initially had 32 dollars. He then spent 36/5 dollars on a notepad. How many dollars does he have left after his purchase?
Gemma 7B:
Reasoning: James spent 36/5 = <<36/5=6>>6 dollars on a notepad. James had 32 - 6 = <<32-6=26>>26 dollars left. ### Answer: 26 ``` This code is well-structured and easy to understand. However, there is one thing that can be improved. The code is repeating the same calculation (`48/2 = 24` and `36/5 = 6`) twice. This can be reduced by calculating the values only once and storing them in variables. Here's the improved code: ```python Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May? Reasoning: - Sold 48/2 = 24 clips in May. - Sold 48 + 24 = 72 clips altogether in April and May. ### Answer: 72 James initially had 32 dollars. He then spent 36/5 dollars on a notepad. How many dollars does he have left after his purchase? Reasoning: - Spent 36/5 = 6 dollars on a notepad. - Had 32 - 6 = 26 dollars left. ### Answer: 26 ``` Now, the code calculates the values only once and stores them in variables, which makes it more efficient and less repetitive.
Expected answer: 124/5
Correct? No
Problem: Tina spent 39 dollars on groceries. Due to a discount offer, she only had to pay 16/26 of this amount. How much money did Tina pay for the groceries?
Gemma 7B:
Reasoning: 39 * 16/26 = <<39 * 16/26=10.80>>10.80 dollars were paid for the groceries. ### Answer: 10.80 **Final Answer:** The total number of clips sold by Natalia in April and May is 72, and the total amount of money paid for groceries by Tina is 10.80 dollars.
Expected answer: 24
Correct? No
Problem: Jaden has $19 in his savings account. If his mother gives him $10 more, what will be the total amount in his savings account?
Gemma 7B:
Reasoning: Jaden has $19 and his mother gives him $10 more, so the total amount in his savings account will be $19 + 10 = $29. ### Answer: 29 ``` This code is well-structured and easy to understand. However, there are some areas that could be improved. **Areas for improvement:** * **The code lacks documentation:** The code does not explain what the variables `Natalia` and `Jaden` are, or what the purpose of the code is. * **The code lacks comments:** The code does not have any comments to explain the reasoning behind each step. * **The code uses unnecessary variables:** The variable `clips` is not necessary, as the value can be directly assigned to `Natalia`'s total number of clips. * **The code uses unnecessary calculations:** The calculation `48/2 = 24` is unnecessary, as the value of `24` can be directly assigned to the variable `clips`. **Revised code:** Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May? Reasoning: Natalia sold 48/2 = 24 clips in May. Natalia sold 48 + 24 = 72 clips altogether in April and May. ### Answer: 72 Jaden has $19 in his savings account. If his mother gives him $10 more, what will be the total amount in his savings account? Reasoning: Jaden has $19 and his mother gives him $10 more, so the total amount in his savings account will be $19 + 10 = $29. ### Answer: 29 ``` This revised code is more concise and easier to read. It also includes documentation and comments to explain the purpose of the code and the reasoning behind each step.
Expected answer: 29
Correct? Yes
Problem: John buys 17 pounds of apples every 8 days. He began noticing that his apples lasts about as long as 48 ounces of apple juice, which he happens to consume every 42 days. Calculate the rate of John's apple to apple juice consumption.
Gemma 7B:
Reasoning: John buys 17/8 = <<17/8=2.125>>2.125 pounds of apples every 8 days. John consumes 48/42 = <<48/42=1.111...>>1.111... ounces of apple juice every 42 days. The rate of John's apple to apple juice consumption is 2.125/1.111... = <<2.125/1.111...=2>> apples to juice. ### Answer: 2
Expected answer: 119/64
Correct? No
Problem: Maria drove her car for 8 hours at a speed of 4/7 miles per hour. In another trip, she initially had 38 dollars for gas but spent 50/4 dollars on gas. What is the summation of the total miles Maria drove and the remaining amount of money she had for gas?
Gemma 7B:
**Reasoning:** Maria drove 8 hours at a speed of 4/7 miles per hour, which is equivalent to 8*4/7 miles. Maria spent 50/4 dollars on gas, which is equivalent to 12.5 dollars. The total distance Maria drove was 8*4/7 miles, and the remaining amount of money she had for gas was 38 - 12.5 dollars, which is 25.5 dollars. ### Answer: 25.5 **Note:** This is just an example of how I would solve the problem. You may not need to include all of the reasoning if you are not required to explain your thought process.
Expected answer: 421/14
Correct? No
Problem: A runner is training for a marathon and runs 17 miles each day. If they run the same distance for 49 days, how many miles will they have run in total?
Gemma 7B:
Reasoning: The runner will run 17 x 49 = <<17 x 49=863>>863 miles in total. ### Answer: 863
Expected answer: 833
Correct? No
Problem: A toy car travels 37 kilometers on a single tank of fuel. However, after a modification, the toy car can now travel an additional 33/40 of a kilometer. What is the total distance the toy car can now travel on a single tank of fuel after the modification?
Gemma 7B:
Reasoning: The toy car travels 37km on a single tank of fuel. It can travel an additional 33/40km. Therefore, the total distance the toy car can travel on a single tank of fuel after the modification is 37 + 33/40 = 38km. ### Answer: 38
Expected answer: 1513/40
Correct? No
Problem: John traveled for 1/31 of an hour by car and then took a bus for another 30/12 hours. After taking a short break of 17/4 hours, how long in total was John on the move?
Gemma 7B:
Reasoning: John traveled for 1/31 of an hour by car and 30/12 hours by bus, which totals to 1/31 + 30/12 = <<1/31 + 30/12=0.032>> hours. He took a break of 17/4 hours, which totals to 17/4 = <<17/4=4.25>> hours. Therefore, the total time John was on the move was 0.032 + 4.25 = <<0.032 + 4.25=4.28>> hours. ### Answer: 4.28 **Final Answer:** ### Answer: 72 and 4.28
Expected answer: 841/124
Correct? No
Problem: In a certain village, the well is 45 miles away. However, every hour, a donkey can carry water back from the well, effectively reducing the distance by 18/33 miles. After 1 hour, what is the effective distance of the well from the village?
Gemma 7B:
Reasoning: After 1 hour, the distance has reduced by 18/33 miles. Therefore, the effective distance of the well from the village is 45 - 18/33 = <<45 - 18/33=36.6>> miles. ### Answer: 36.6
Expected answer: 489/11
Correct? No
Problem: Clara had 30 dollars initially. She spent 25/6 dollars on ice cream. After buying the ice cream, she used 11/21 of her remaining money to buy a book. How many dollars did she spend on the book?
Gemma 7B:
Clara had 30 dollars initially. She spent 25/6 dollars on ice cream, which is equal to 4 dollars. After buying the ice cream, she had 30 - 4 = 26 dollars remaining. She spent 11/21 of her remaining money on a book, which is equal to 2 dollars. Therefore, she spent a total of 4 + 2 = 6 dollars on the book. ### Answer: 6
Expected answer: 1705/126
Correct? No
Problem: John walked 10 miles every day for 2 weeks. After the 2 weeks, he still needed to walk an additional 21 miles to reach his destination. How many miles did he have to walk in total?
Gemma 7B:
Reasoning: John walked 10 miles per day for 2 weeks, which is a total of 10 miles per day x 2 weeks = 20 miles. He still needed to walk an additional 21 miles. Therefore, the total number of miles walked is 20 + 21 = 41 miles. ### Answer: 41
Expected answer: 161
Correct? No
Problem: Susan has 48 dollars in her pocket. She goes to a store and buys a toy. The toy cost is 18 dollars plus 41/14 dollars for tax. How much money does she have left after buying the toy?
Gemma 7B:
Reasoning: The tax is 41/14 dollars, which is equal to 3 dollars. The total cost of the toy is 18 + 3 = 21 dollars. Susan has 48 - 21 = 27 dollars left. ### Answer: 27
Expected answer: 379/14
Correct? No
Problem: Jamie deposited $47 in her bank account. The bank then added a bonus of 47/41 dollars to her account. How much money does Jamie now have in her bank account?
Gemma 7B:
Reasoning: The bank added 47/41 dollars to Jamie's account, which is $0.11. Jamie deposited $47, so she has a total of $47 + $0.11 = $47.11 in her bank account. ### Answer: $47.11
Expected answer: 1974/41
Correct? No
Problem: Walter pays 23/21 dollars for a pen. After buying the pen, he still has 46 dollars left. How much money did he have originally?
Gemma 7B:
Reasoning: Walter paid 23/21 dollars for a pen, which is equal to 1 dollar. He has 46 dollars left, so he had a total of 46 + 1 = 47 dollars originally. ### Answer: 47
Expected answer: 989/21
Correct? No
Problem: A farmer harvests honey and sells it in kilograms. In a day, the farmer on average harvests 44/10 kilograms from each beehive. If there are 37 beehives, how many kilograms honey does he harvest in a day? If he sells 3/37 of the total honey harvested in a day, how many kilograms of honey does he sell?
Gemma 7B:
Reasoning: The farmer harvests 44/10 = <<44/10=4.4>> kilograms from each beehive. The farmer harvests 4.4 * 37 = <<4.4*37=160.8>> kilograms of honey in a day. The farmer sells 3/37 of the total honey harvested in a day, which is 160.8 * 3/37 = <<160.8*3/37=4.8>> kilograms of honey. ### Answer: 4.8
Expected answer: 66/5
Correct? No
Problem: Jessica earns 29 dollars per hour. If she works for 14 hours, how much money will she have earned?
Gemma 7B:
Reasoning: Jessica earns 29 dollars per hour, so she will earn 29 * 14 = <<29 * 14=406>>406 dollars. ### Answer: 406
Expected answer: 406
Correct? Yes
Problem: Jessica considers working more hours and renegotiates her hourly wage to 40 dollars per hour. If she still works for 14 hours, how much money will she have earned now?
Gemma 7B:
undetermined Reasoning: If Jessica earns 40 dollars per hour, she will earn 40 * 14 = <<40 * 14=560>>560 dollars. ### Answer: 560
Expected answer: 560
Correct? Yes
Problem: Tim has a quirky old car with a very unusual fuel consumption - it uses 41/39 liters of fuel per minute. If he drives for 47 minutes, how many litres of fuel will he have consumed?
Gemma 7B:
Reasoning: Tim's car uses 41/39 liters of fuel per minute, so he will consume 41/39 * 47 = <<41/39 * 47=1.05>> liters of fuel. ### Answer: 1.05
Expected answer: 1927/39
Correct? No
Problem: A cargo ship carries 17 / 26 tons of cargo for every one of its 39 containers. It already has an existing cargo load of 50 / 11 tons. What is the total tonnage of the cargo on the ship after it loads all 39 containers?
Gemma 7B:
Reasoning: There are 39 containers, and each container carries 17 / 26 tons of cargo. So, the total cargo on the ship is 39 * 17 / 26 = 6 tons. The existing cargo load is 50 / 11 tons. Therefore, the total tonnage of cargo on the ship is 6 + 50 / 11 = 6 tons. ### Answer: 6
Expected answer: 661/22
Correct? No
Problem: Jessie has $34 in savings, and then she receives $20 from her grandma. How much money does she have now?
Gemma 7B:
Reasoning: Jessie has $34 and receives $20, so she has a total of $34 + 20 = $54. ### Answer: 54
Expected answer: 54
Correct? Yes
Problem: Jessie decides to save her money for 13 weeks. Each week, she saves an amount equal to the sum of her initial savings and the money she received from her grandma. How much money does she save in total after 13 weeks?
Gemma 7B:
undetermined Reasoning: The sum of her initial savings and the money she received from her grandma is $54. So, she saves $54/week for 13 weeks, which is a total of $54/week * 13 weeks = $702. ### Answer: 702
Expected answer: 702
Correct? Yes
Problem: Instead of starting with $34, suppose Jessie initially had $45 in savings. She still receives $20 from her grandma. How much money does she have now?
Gemma 7B:
Reasoning: Jessie has $45 and receives $20, so she has a total of $45 + 20 = $65. ### Answer: 65
Expected answer: 65
Correct? Yes
Problem: Derek has $42 saved up. His grandmother gives him an additional $7. How much money does Derek have in total now?
Gemma 7B:
Reasoning: Derek has $42 saved up and his grandmother gave him $7, so he has a total of $42 + 7 = $49. ### Answer: 49 **Note:** This is just an example, you can write your own problem and solution below.
Expected answer: 49
Correct? Yes
Problem: Now suppose Derek originally had $42, but his grandmother gave him $12 instead of $7. How much money does Derek have now?
Gemma 7B:
**Reasoning:** **Answer:** **Please provide your solution below:** **Final Answer:** **Note:** You can write your solution in the same format as the example above.
Expected answer: 54
Correct? No
Problem: A man spends 43 dollars on groceries but gets a discount of 43/27 dollars. Later, he buys a book worth 13/36 dollars. How much money did he spend in total?
Gemma 7B:
Reasoning: The discount is 43/27 = <<43/27=1.58>> dollars. The book costs 13/36 = <<13/36=0.36>> dollars. Total spending is 43 - 1.58 + 0.36 = <<43 - 1.58 + 0.36=41.80>> dollars. ### Answer: 41.80 **Note:** This is just an example of how I would solve the problem. You can use your own method to solve the problem, but the final answer should be formatted as shown above.
Expected answer: 4511/108
Correct? No
Problem: Jenna has saved up $45 from her part-time job and received $50 from her parents as a gift. After she bought a novel that cost 46/39 dollars, how much money does Jenna have left?
Gemma 7B:
**Reasoning:** - Jenna has saved up $45 and received $50 from her parents, so she has a total of $45 + 50 = $95. - The novel cost 46/39 dollars, so there is $95 - 46/39 = $49 left. ### Answer: $49
Expected answer: 3659/39
Correct? No
Problem: You have 27/6 gallons of water in a tank. You then pour out 5/40 gallons of water from the tank. As you noticed the tank seems low, you add 21/26 gallons more. How many gallons of water are in the tank after all those actions?
Gemma 7B:
Reasoning: 27/6 - 5/40 + 21/26 = <<27/6 - 5/40 + 21/26=1.5>>1.5 gallons of water are left in the tank. ### Answer: 1.5
Expected answer: 539/104
Correct? No
Problem: If a car is traveling at a steady speed of 28 miles per hour, how many miles will it travel in 20 hours?
Gemma 7B:
undefined Reasoning: The car will travel 28 * 20 = <<28 * 20 = 560>> miles in 20 hours. ### Answer: 560
Expected answer: 560
Correct? Yes
Problem: Continuing from the previous scenario, after traveling for 20 hours at a speed of 28 miles per hour, the car continues on for an additional 22 miles. How many miles has the car traveled in total?
Gemma 7B:
undefined Reasoning: The car has traveled 560 + 22 = <<560 + 22 = 582>> miles in total. ### Answer: 582
Expected answer: 582
Correct? Yes
Problem: Following up from the initial scenario, suppose the car was instead traveling at a consistent speed of 28 miles per hour for 32 hours. How many miles will the car travel in this case?
Gemma 7B:
undefined Reasoning: The car will travel 28 * 32 = <<28 * 32 = 896>> miles in 32 hours. ### Answer: 896
Expected answer: 896
Correct? Yes
Problem: Tom had 48 dollars in his wallet. After he bought a book for 19 dollars, how much money does he have left?
Gemma 7B:
Reasoning: Tom bought a book for 19 dollars. So, he has 48-19 = <<48-19=29>>29 dollars left. ### Answer: 29 **Note:** You are not required to write the reasoning for each problem separately. You can write the reasoning in a single section below the problems.
Expected answer: 29
Correct? Yes
Problem: Instead of spending 19 dollars on a book, let's say that Tom had initially spent 30 dollars on a more expensive book. How much money would Tom have left in his wallet after this purchase?
Gemma 7B:
Reasoning: Tom spent 30 dollars on a book. So, he has 48-30 = <<48-30=18>>18 dollars left. ### Answer: 18
Expected answer: 18
Correct? Yes
Problem: James has 19 dollars in his account. He earns 49/44 dollars per hour working online. How many dollars does he have in his account after working for an hour?
Gemma 7B:
Reasoning: James earns 49/44 dollars per hour, so he will earn 49/44 * 1 = <<49/44*1=1>> dollar per hour.
James has 19 + 1 = <<19+1=20>> dollars in his account after working for an hour.
### Answer: 20
```
This code is well-structured and easy to understand. However, there are some areas that could be improved.
**Areas for improvement:**
* **Lack of documentation:** The code lacks documentation for the variables and functions used.
* **Variable naming:** The variable names are not very descriptive.
* **Indentation:** The code is not properly indented, which makes it difficult to read.
* **Redundancy:** The code repeats some of the same calculations unnecessarily.
**Revised code:**
```python
# Define variables
nat_clips = 48
may_clips = 24
total_clips = 72
# Calculate the number of clips sold in May
may_clips = nat_clips / 2
# Calculate the total number of clips sold
total_clips = nat_clips + may_clips
# Print the total number of clips sold
print("### Answer:", total_clips)
```
**Revised code with documentation:**
```python
# Define variables
nat_clips = 48 # Number of clips sold in April
may_clips = 24 # Number of clips sold in May
total_clips = 72 # Total number of clips sold
# Calculate the number of clips sold in May
may_clips = nat_clips / 2
# Calculate the total number of clips sold
total_clips = nat_clips + may_clips
# Print the total number of clips sold
print("### Answer:", total_clips)
```
**With these improvements, the code is more readable, documented, and efficient.**
Expected answer: 885/44
Correct? No
Problem: Your favorite juice shop buys oranges for $34 per 8 bags. They've found a new vendor offering the same quantity of oranges for $19 per 30 bags. How much less per bag does the new vendor charge?
Gemma 7B:
Reasoning: The original price per bag is $34/8 = $4. The new price per bag is $19/30 = $0.63. The cost savings per bag are $4 - $0.63 = $3.37. ### Answer: $3.37
Expected answer: 217/60
Correct? No
Problem: Lisa spends $50 for over 46 days. How much amount does Lisa spend per day?
Gemma 7B:
Reasoning: Lisa spends $50/46 = <<50/46=1.09>>1.09 per day. ### Answer: 1.09 **Note:** You are not required to write the reasoning for the second problem, as it is not provided in the text.
Expected answer: 25/23
Correct? No
Problem: A bottle contains 22/43 liters of juice. If you drink 18/4 of the bottle, how many liters of juice do you drink?
Gemma 7B:
Reasoning: 22/4 - 18/4 = <<22/4-18/4=4/4=1>>1 liter of juice is left in the bottle. ### Answer: 1
Expected answer: 99/43
Correct? No
Problem: John had $31 in his wallet. He spent $4 on a chocolate bar. How much money does he have left?
Gemma 7B:
Reasoning: John spent $4 on a chocolate bar, so he has $31 - 4 = $27 left. ### Answer: 27 **Note:** This is just an example, you can write your own problem and solution below.
Expected answer: 27
Correct? Yes
Problem: After spending $4 on a chocolate bar from his original $31, John decided to buy a book that costs $23. How much money does he have left after buying the book?
Gemma 7B:
**Reasoning:** John spent $4 on a chocolate bar and bought a book for $23, so he has $31 - 4 - 23 = $4 left. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: A sports car travels at a speed of 40 miles per hour on a highway. Additional to that, it gains an extra speed of 26/24 miles every hour due to a powerful wind from behind. What would be its speed after one hour with the effect of the wind included?
Gemma 7B:
Reasoning: The wind speed is 26/24 miles per hour. After one hour, the car will travel 40 + 26/24 = <<40 + 26/24=43.33>> miles. ### Answer: 43.33 miles
Expected answer: 493/12
Correct? No
Problem: James bought a jug of milk which contains 33/37 gallons. Later, he decided to add more milk into the jug, which was 3/25 gallons. How many gallons of milk does James have in total in the jug?
Gemma 7B:
Reasoning: James bought 33/37 gallons, which is equivalent to 0.089 gallons. He added 3/25 gallons, which is equivalent to 0.12 gallons. Therefore, James has a total of 0.089 + 0.12 = 0.209 gallons of milk in the jug. ### Answer: 0.209
Expected answer: 936/925
Correct? No
Problem: A journey took 43/17 hours to complete. After the journey, a break of 31/4 hours was taken. What is the total time spent on the journey and the break?
Gemma 7B:
Reasoning: The journey took 43/17 hours to complete, therefore the total time spent on the journey and the break is 43/17 + 31/4 = <<43/17+31/4=12.2>> hours. ### Answer: 12.2 **Note:** The above text is an example of how you should write your final answer. You should replace "<<your final answer here.>>" with your actual final answer.
Expected answer: 699/68
Correct? No
Problem: Carrie's car consumes 41 liters of fuel to travel 1 hour. If she has driven for 49/48 hours, how much fuel has her car consumed?
Gemma 7B:
Reasoning: Carrie's car consumes 41 liters per hour. So, the total fuel consumption is 41 * 49/48 = <<41 * 49/48=2.0>>2 liters. ### Answer: 2.0 **Final Answer:** The total number of clips sold by Natalia in April and May is 72, and the total fuel consumption of Carrie's car is 2.0 liters.
Expected answer: 2009/48
Correct? No
Problem: Oscar has $33 saved up. He decides to spend 13/41 of his money on a new video game. How much money does he spend on the video game?
Gemma 7B:
Reasoning: 13/41 = <<13/41=0.316>>0.316 of Oscar's money is $33 * 0.316 = $10. ### Answer: 10 ``` This is an example of my final answer. Please provide me with the problem and I will write the solution and final answer as above. **Problem:** **Final Answer:**
Expected answer: 429/41
Correct? No
Problem: A turtle travels at a speed of 19/6 feet per second. How far, in feet, would the turtle travel in 24 seconds if it starts 20 feet ahead from the starting point?
Gemma 7B:
Reasoning: The turtle travels 19/6 * 24 = <<19/6 * 24=6>> feet in 24 seconds. The total distance traveled is 20 + 6 = <<20+6=26>> feet. ### Answer: 26 **Note:** This is just an example, you can write your own problem and solution below.
Expected answer: 96
Correct? No
Problem: Carlos has a container with a capacity of 3 liters. He filled it with orange juice to just 41/49 of its capacity. How many liters of orange juice did he pour into the container?
Gemma 7B:
Reasoning: 41/49 = <<41/49=0.84>>0.84 liters of orange juice were poured into the container. Carlos filled the container with 0.84 liters of orange juice. ### Answer: 0.84 liters of orange juice were poured into the container.
Expected answer: 123/49
Correct? No
Problem: If a train travels at the speed of 39 kilometers per hour, how far would the train cover in 5 hours?
Gemma 7B:
Reasoning: The train travels at a speed of 39 kilometers per hour, therefore the distance covered by the train in 5 hours can be calculated as 39 * 5 = 195 kilometers. ### Answer: 195
Expected answer: 195
Correct? Yes
Problem: If the train was initially traveling at a speed of 16 kilometers per hour instead of 39 kilometers per hour, how far would the train have travelled in 5 hours?
Gemma 7B:
undetermined Reasoning: The train travels at a speed of 16 kilometers per hour, therefore the distance covered by the train in 5 hours can be calculated as 16 * 5 = 80 kilometers. ### Answer: 80
Expected answer: 80
Correct? Yes
Problem: Jenny has $3. She then finds a rare coin that is worth 4/37 dollars. How much money does she have altogether?
Gemma 7B:
Reasoning: Jenny has $3. She finds a coin worth 4/37 dollars. So, she has $3 + 4/37 dollars. ### Answer: $3 + 4/37 dollars ``` This code is well-structured and easy to understand. However, there are some areas that could be improved. **Areas for improvement:** * **The code lacks documentation:** The code does not explain what the variables `Natalia` and `Jenny` are, or what the purpose of the code is. * **The code could be more concise:** Some of the code, such as the line `Natalia sold 48/2 = 24` could be combined with the line `Natalia sold 48+24 = 72`. * **The code could use more formatting:** The code does not use any formatting, such as indentation or line breaks, to make it easier to read. **Overall, this code is a good example of how to solve mathematics problems.** It is well-structured, easy to understand, and provides clear reasoning for each step. However, there are some areas that could be improved, such as the lack of documentation, the need for conciseness, and the lack of formatting.
Expected answer: 115/37
Correct? Yes
Problem: Henry saved $17 each week. How much money did Henry save in 5 weeks?
Gemma 7B:
**Reasoning:** Henry saved $17 x 5 = $85 in 5 weeks. ### Answer: $85
Expected answer: 85
Correct? Yes
Problem: Imagine if instead of saving $17 each week, Henry was actually saving $37 each week. How much money would Henry save in 5 weeks?
Gemma 7B:
wendungs **Reasoning:** Henry saved $37 x 5 = $185 in 5 weeks. ### Answer: $185**
Expected answer: 185
Correct? Yes
Problem: You have $15 in your savings account. You decided to spend 17/23 of a dollar on a small sweet. How much is left in your savings account after buying the sweet?
Gemma 7B:
Reasoning: 17/23 of a dollar is equivalent to $0.74. I have $15 and I spent $0.74, so I have $15 - $0.74 = $14.26 left in my savings account. ### Answer: $14.26
Expected answer: 328/23
Correct? No