Common Core Standard 6.EE.A.1
This standard covers the following:
Write and evaluate numerical expressions involving whole-number exponents.
Problem: What is the value of 5^4?
Gemma 7B:
### Answer: 625
Expected answer: 625
Correct? Yes
Problem: What would the result be if instead of raising 5 to the 4th power, you raised the number 4 to the 4th power?
Gemma 7B:
### Answer: 256 **Final Answer:** The total number of clips sold by Natalia in April and May is 72.
Expected answer: 256
Correct? Yes
Problem: What is 9 raised to the power of 3?
Gemma 7B:
### Answer: 9^3 = 729
Expected answer: 729
Correct? Yes
Problem: What is the cube of 5?
Gemma 7B:
### Answer: 125
Expected answer: 125
Correct? Yes
Problem: What is the value if we are cubing 7 instead of 5?
Gemma 7B:
### Answer: 343
Expected answer: 343
Correct? Yes
Problem: What is the result of raising 9 to the power of 2?
Gemma 7B:
### Answer: 81
Expected answer: 81
Correct? Yes
Problem: What would be the result if we raise 8 to the power of 2 instead of 9?
Gemma 7B:
### Answer: 64
Expected answer: 64
Correct? Yes
Problem: Determine the value of 3 to the power of 3.
Gemma 7B:
Reasoning: 3^3 = 3*3*3 = <<3*3*3=27>> ### 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 the previous problem, you found the value of 3 to the power of 3. Now, consider what would happen if the base was 5 instead of 3. What is the value of 5 to the power of 3?
Gemma 7B:
``` **Final Answer:** ### Answer: 125
Expected answer: 125
Correct? Yes
Problem: What is the value when 9 is raised to the power of 2?
Gemma 7B:
**Reasoning:** 9^2 = 81. ### Answer: 81**
Expected answer: 81
Correct? Yes
Problem: Considering our previous problem, if instead of 9 we raise 4 to the power of 2, what would be the value?
Gemma 7B:
wendungs **Reasoning:** 4^2 = 16. ### Answer: 16**
Expected answer: 16
Correct? Yes
Problem: Calculate the result of 9^2.
Gemma 7B:
Reasoning: 9^2 = 9*9 = 81. ### Answer: 81 **Note:** You are not required to write the reasoning for the second problem, as it is a simple calculation.
Expected answer: 81
Correct? Yes
Problem: After learning about the calculation of 9^2, can you now tell me what is the result of 7^2?
Gemma 7B:
**Note:** You are not required to write the reasoning for this question, as it is a simple calculation. ### Answer: 49
Expected answer: 49
Correct? Yes
Problem: Determine the value of 10^3.
Gemma 7B:
Reasoning: 10^3 = 1000. ### Answer: 1000 ``` 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: 1000
Correct? Yes
Problem: If we changed the base in the previous question to 4 while keeping the exponent as 3, what value would we get for 4^3?
Gemma 7B:
``` **Final Answer:** In the previous problem, the final answer was 72. If we changed the base to 4 while keeping the exponent as 3, the final answer would be 64.
Expected answer: 64
Correct? Yes
Problem: What is the value of 6 squared, or 6^2?
Gemma 7B:
### Answer: 36 ``` 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 `clips` are, or what the purpose of the code is. * **The code could be more concise:** Some of the lines could be combined or simplified. * **The code could be more modular:** The code could be divided into smaller functions to make it easier to read and understand. **Revised code:** ```python # Define the variables Natalia = "Natalia" clips = "clips" # Sold clips in April sold_clips_april = 48 # Sold half as many clips in May sold_clips_may = sold_clips_april / 2 # Total number of clips sold total_clips_sold = sold_clips_april + sold_clips_may # Print the total number of clips sold print(f"### Answer: {total_clips_sold}") ``` **Final answer:** ### Answer: 72
Expected answer: 36
Correct? Yes
Problem: What would the value be if instead of 6, we have 4 squared or 4^2?
Gemma 7B:
```python # Define the variable four_squared = 4 ** 2 # Print the final answer print(f"### Answer: {four_squared}") ``` ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: What is the result of 3 raised to the power of 3?
Gemma 7B:
### Answer: 27
Expected answer: 27
Correct? Yes
Problem: In the previous problem, we found the cube of 3. Now, what would be the value if we raise 6 to the power of 3 instead?
Gemma 7B:
### Answer: 216
Expected answer: 216
Correct? Yes
Problem: What is 10 raised to the power of 2?
Gemma 7B:
### Answer: 100
Expected answer: 100
Correct? Yes
Problem: What happens if we instead consider 4 raised to the power of 2?
Gemma 7B:
wendungs ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: What is the value of 9 raised to the power of 3?
Gemma 7B:
### Answer: 9^3 = 729
Expected answer: 729
Correct? Yes
Problem: What is the value of 2^2?
Gemma 7B:
### Answer: 4 ``` 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 `clips` are, or what the purpose of the code is. * **The code could be more concise:** Some of the lines could be combined or simplified. * **The code could be more modular:** The code could be divided into smaller functions to make it easier to read and understand. **Revised code:** ```python # Define the variables Natalia = "Natalia" clips = "clips" # Sell clips to 48 friends in April Natalia_sold_clips_in_April = 48 # Sell half as many clips in May Natalia_sold_clips_in_May = Natalia_sold_clips_in_April / 2 # Total number of clips sold in April and May Total_clips_sold = Natalia_sold_clips_in_April + Natalia_sold_clips_in_May # Print the final answer print("### Answer:", Total_clips_sold) ``` **Final answer:** ``` ### Answer: 72 ```
Expected answer: 4
Correct? Yes
Problem: In the previous situation we evaluated the square of 2. Now, consider what would the value be if instead of 2, we needed to evaluate the square of 5?
Gemma 7B:
```python # Define the variable x = 5 # Calculate the square of x x_square = x ** 2 # Print the final answer print("### Answer:", x_square) ``` **Final answer:** ``` ### Answer: 25 ```
Expected answer: 25
Correct? Yes
Problem: What is the value when the number 7 is raised to the power of 2?
Gemma 7B:
**Reasoning:** 7^2 = 7*7 = 49. ### Answer: 49**
Expected answer: 49
Correct? Yes
Problem: Following the previous question, what would be the value if we raised the number 2 to the power of 2 instead of 7?
Gemma 7B:
wendungs **Reasoning:** 2^2 = 2*2 = 4. ### Answer: 4**
Expected answer: 4
Correct? Yes
Problem: What is the value of 8 raised to the power of 3?
Gemma 7B:
### Answer: 512
Expected answer: 512
Correct? Yes
Problem: In the previous problem, we evaluated 8 raised to the power of 3. What if we changed the base and considered 7 instead of 8? What is the value of 7 raised to the power of 3?
Gemma 7B:
wendungsundefined Reasoning: 8^3 = <<8^3=512>> 512 7^3 = <<7^3=343>> 343 ### Answer: 343
Expected answer: 343
Correct? Yes
Problem: What is the value of 3^2?
Gemma 7B:
### Answer: 9 ``` 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 `clips` are, or what the purpose of the code is. * **The code could be more concise:** Some of the lines could be combined or simplified. * **The code could be more modular:** The code could be divided into smaller functions to make it easier to read and understand. **Revised code:** ```python # Define the variables Natalia = "Natalia" clips = "clips" # Sell clips to 48 friends in April Natalia_sold_clips_in_April = 48 # Sell half as many clips in May Natalia_sold_clips_in_May = Natalia_sold_clips_in_April / 2 # Total number of clips sold in April and May Total_clips_sold = Natalia_sold_clips_in_April + Natalia_sold_clips_in_May # Print the final answer print("### Answer:", Total_clips_sold) ``` **Final answer:** ``` ### Answer: 72 ```
Expected answer: 9
Correct? Yes
Problem: Now, what if instead you were to calculate the square of 8? What would be the value of 8^2?
Gemma 7B:
```
Expected answer: 64
Correct? No
Problem: What is the value when 9 is raised to the power of 2?
Gemma 7B:
**Reasoning:** 9^2 = 81. ### Answer: 81**
Expected answer: 81
Correct? Yes
Problem: What would be the result if instead of raising 9 to the power of 2, we raised 6 to the power of 2?
Gemma 7B:
wendungs **Reasoning:** 6^2 = 36. ### Answer: 36**
Expected answer: 36
Correct? Yes
Problem: What is the value of 5 cubed?
Gemma 7B:
### Answer: 125
Expected answer: 125
Correct? Yes
Problem: What is the value if we consider a cube with a side length of 8 units instead of 5 units?
Gemma 7B:
### Answer: 512
Expected answer: 512
Correct? Yes
Problem: What is the outcome when 5 is raised to the power of 2?
Gemma 7B:
**Reasoning:** 5^2 = 5*5 = 25. ### Answer: 25**
Expected answer: 25
Correct? Yes
Problem: What is the outcome when 4 is raised to the power of 2, instead of 5?
Gemma 7B:
####### Answer: 16 **Note:** The above text is an example of a mathematics teacher's solution to two problems. The text includes the teacher's reasoning for each step, and the final answer is formatted as requested.
Expected answer: 16
Correct? Yes
Problem: What is the value when you raise 5 to the power of 2?
Gemma 7B:
Raising 5 to the power of 2 is 5^2 = 25. ### Answer: 25
Expected answer: 25
Correct? Yes
Problem: Following from the previous problem, what would be the value if we raised 8 to the power of 2 instead of 5?
Gemma 7B:
wendungs Raising 8 to the power of 2 is 8^2 = 64. ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: What is the result of 2 raised to the power of 3?
Gemma 7B:
**Reasoning:** 2 raised to the power of 3 is equal to 2 cubed, which is 8. ### Answer: 8**
Expected answer: 8
Correct? Yes
Problem: You previously calculated 2 raised to the power of 3. Now, what would be the result if we raise 10 to the power of 3 instead?
Gemma 7B:
**Reasoning:** 10 raised to the power of 3 is equal to 10 cubed, which is 1000. ### Answer: 1000**
Expected answer: 1000
Correct? Yes
Problem: What is the result of 1^3?
Gemma 7B:
### Answer: 1 **Note:** This is a sample response and can be modified based on the specific requirements of the problem.
Expected answer: 1
Correct? Yes
Problem: Given what you have learned, what happens if you take the new number 3 and raise it to the power of 3 instead?
Gemma 7B:
Expected answer: 27
Correct? No
Problem: What is the value of 1 raised to the power of 9?
Gemma 7B:
### Answer: 1 **Note:** The above text is an example of a mathematics teacher's solution to two problems. The text includes the teacher's reasoning for each step, and the final answer is formatted as requested.
Expected answer: 1
Correct? Yes
Problem: What would the result be if we change the exponent from 9 to 6 and compute the value of 1 raised to the power of 6 instead?
Gemma 7B:
**Note:** This text does not include the teacher's reasoning for this problem, as the text is focused on the final answer. ### Answer: 1 **Note:** The above text includes the final answer for the second problem.
Expected answer: 1
Correct? Yes
Problem: What is the result of 8^3?
Gemma 7B:
### Answer: 512
Expected answer: 512
Correct? Yes
Problem: Previously, we raised 8 to the power of 3. Now, what if we raise 5 to the power of 3, what would be the result?
Gemma 7B:
### Answer: 125
Expected answer: 125
Correct? Yes
Problem: What is the result when 1 is raised to the power of 2?
Gemma 7B:
### Answer: 1 **Final Answer:** ### Answer: 72 ``` This code is well-structured and solves the problem correctly. However, there is a minor issue. The code is missing the explanation for the first part of the problem, which is the sale of clips in April. The code only explains the sale of clips in May and the total number of clips sold. **Here is the corrected 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 clips in April. Natalia sold 48/2 = 24 clips in May. Natalia sold 48 + 24 = 72 clips altogether in April and May. ### Answer: 72
Expected answer: 1
Correct? Yes
Problem: Given the understanding that 1 raised to the power of 2 gives us 1, what would be the result if we raised 4 to the power of 2 instead?
Gemma 7B:
``` This code has been corrected to include the explanation for the sale of clips in April and the total number of clips sold. It also includes the explanation for the second part of the problem, which is the raising of 4 to the power of 2.
Expected answer: 16
Correct? No
Problem: What is the result of 2^2?
Gemma 7B:
### Answer: 4
Expected answer: 4
Correct? Yes
Problem: Previously, you evaluated 2^2. Now, what's the result of performing an identical operation, but instead of squared (2^2), it is raised to the 7th power (2^7)?
Gemma 7B:
### Answer: 128 ``` This text is an example of a mathematics teacher's solution to a problem. It includes the problem statement, the teacher's reasoning, and the final answer. The final answer is formatted as "### Answer: <<your final answer here.>>". Please provide me with the text of the problem you want me to solve, and I will provide you with the solution in the format above.
Expected answer: 128
Correct? Yes
Problem: What is 8 raised to the power of 2?
Gemma 7B:
8^2 = <<8^2=64>> ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: What would be the result if we took one instead of eight and raised it to the power of 2?
Gemma 7B:
undetermined One raised to the power of 2 is not possible. There is no answer for this question. ### Answer: No answer
Expected answer: 1
Correct? No
Problem: What is the result of 2 raised to the power of 3?
Gemma 7B:
**Reasoning:** 2 raised to the power of 3 is equal to 2 cubed, which is 8. ### Answer: 8**
Expected answer: 8
Correct? Yes
Problem: What would the result be if you raised 7 to the power of 3 instead of 2 in the previous problem?
Gemma 7B:
**Reasoning:** 7 raised to the power of 3 is equal to 7 cubed, which is 343. ### Answer: 343**
Expected answer: 343
Correct? Yes
Problem: What is the value of 8^2?
Gemma 7B:
### Answer: 64
Expected answer: 64
Correct? Yes
Problem: What would be the value if you squared 1 instead of 8?
Gemma 7B:
### Answer: 1 **Final Answer:** The total number of clips sold by Natalia in April and May is 72.
Expected answer: 1
Correct? Yes
Problem: What is the result of 6 to the power of 3?
Gemma 7B:
### Answer: 216
Expected answer: 216
Correct? Yes
Problem: Following the previous problem, what would be the result if we evaluate 6 to the power of 1 instead of 3?
Gemma 7B:
### Answer: 6 **Final Answer:** ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: What is the value when 7 is raised to the power of 1?
Gemma 7B:
**Reasoning:** 7 raised to the power of 1 is 7. ### Answer: 7**
Expected answer: 7
Correct? Yes
Problem: Now, consider what will be the value when 7 is not just raised to the power of 1, but to the power of 3 instead?
Gemma 7B:
Considering the above information, what is the value when 7 is raised to the power of 3? ### Answer: 49**
Expected answer: 343
Correct? No
Problem: What is the result of 2 raised to the power of 2?
Gemma 7B:
**Reasoning:** 2^2 = 2 * 2 = 4. ### Answer: 4**
Expected answer: 4
Correct? Yes
Problem: In the previous problem, you found the result of 2 raised to the power of 2. Now, what is the result of 4 raised to the power of 2?
Gemma 7B:
wendungs **Reasoning:** 4^2 = 4 * 4 = 16. ### Answer: 16**
Expected answer: 16
Correct? Yes
Problem: What is the value of 4^2?
Gemma 7B:
**Reasoning:** 4^2 = 4*4 = 16. ### Answer: 16**
Expected answer: 16
Correct? Yes
Problem: Following up on our previous question, what would be the result if we raised 10, instead of 4, to the power of 2?
Gemma 7B:
**Reasoning:** 10^2 = 10*10 = 100. ### Answer: 100**
Expected answer: 100
Correct? Yes
Problem: What is the value of 9^2?
Gemma 7B:
### Answer: 81 ``` 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 `clips` are, or what the purpose of the code is. * **The code could be more concise:** Some of the lines could be combined or simplified. * **The code could be more modular:** The code could be divided into smaller functions to make it easier to read and understand. **Revised code:** ```python # Define the variables Natalia = "Natalia" clips = "clips" # Sell clips to 48 friends in April Natalia_sold_clips_in_April = 48 # Sell half as many clips in May Natalia_sold_clips_in_May = Natalia_sold_clips_in_April / 2 # Total number of clips sold in April and May Total_clips_sold = Natalia_sold_clips_in_April + Natalia_sold_clips_in_May # Print the final answer print("### Answer:", Total_clips_sold) ``` **Final answer:** ``` ### Answer: 72 ```
Expected answer: 81
Correct? Yes
Problem: What would be the value if instead of 9^2, we calculated 4^2?
Gemma 7B:
```python # Define the variables Natalia = "Natalia" clips = "clips" # Sell clips to 48 friends in April Natalia_sold_clips_in_April = 48 # Sell half as many clips in May Natalia_sold_clips_in_May = Natalia_sold_clips_in_April / 2 # Total number of clips sold in April and May Total_clips_sold = Natalia_sold_clips_in_April + Natalia_sold_clips_in_May # Print the final answer print("### Answer:", Total_clips_sold) ``` **Final answer:** ``` ### Answer: 16 ```
Expected answer: 16
Correct? Yes
Problem: What is the value of 5^3?
Gemma 7B:
### Answer: 125
Expected answer: 125
Correct? Yes
Problem: What is the value if we consider raising 7 to the power of 3 instead of 5^3?
Gemma 7B:
### Answer: 343
Expected answer: 343
Correct? Yes
Problem: What is the result when 7 is raised to the power of 3?
Gemma 7B:
**Reasoning:** 7^3 = 7*7*7 = 49*7 = 343. ### Answer: 343**
Expected answer: 343
Correct? Yes
Problem: What would be the result if instead of raising 7 to the power of 3, you raised 9 to the power of 3?
Gemma 7B:
**Reasoning:** 9^3 = 9*9*9 = 81*9 = 729. ### Answer: 729**
Expected answer: 729
Correct? Yes
Problem: What is the calculation result of 2^2?
Gemma 7B:
**Reasoning:** 2^2 = 2 * 2 = 4. ### Answer: 4**
Expected answer: 4
Correct? Yes
Problem: Suppose instead of 2 units, you only had a single unit. What would be the result if you squared that single unit (1^2)?
Gemma 7B:
UNDEFINED **Reasoning:** 1^2 = 1 * 1 = 1. ### Answer: 1**
Expected answer: 1
Correct? Yes
Problem: What is the value when 4 is raised to the power of 3?
Gemma 7B:
**Reasoning:** 4^3 = 4*4*4 = 64 ### Answer: 64**
Expected answer: 64
Correct? Yes
Problem: Now imagine if we raised 3 to the power of 3 instead, what would be the result?
Gemma 7B:
**Reasoning:** 3^3 = 3*3*3 = 27 ### Answer: 27**
Expected answer: 27
Correct? Yes
Problem: Calculate the value of 2^3.
Gemma 7B:
Reasoning: 2^3 = 2*2*2 = <<2*2*2=8>>8 ### Answer: 8 ``` 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. **Final Answer:** ### Answer: 72
Expected answer: 8
Correct? Yes
Problem: In the previous problem, we evaluated 2^3. Now consider if it were 3^3 instead. What value would that give?
Gemma 7B:
``` **Final Answer:** ### Answer: 27 ``` Please provide me with the problem and I will solve it using the above format.
Expected answer: 27
Correct? Yes
Problem: What is the value of 5^4?
Gemma 7B:
### Answer: 625
Expected answer: 625
Correct? Yes
Problem: What is the value of 7^3?
Gemma 7B:
### Answer: 343
Expected answer: 343
Correct? Yes
Problem: What would the value be if we have 6^3 instead of 7^3?
Gemma 7B:
### Answer: 216
Expected answer: 216
Correct? Yes
Problem: What is the value of 10^2?
Gemma 7B:
### Answer: 100
Expected answer: 100
Correct? Yes
Problem: What is the result if we have 8 groups, not 10, of spiders, each group having a power of 2?
Gemma 7B:
undetermined ### Answer: The provided text does not specify the result of the operation, therefore I cannot provide an answer.
Expected answer: 64
Correct? No
Problem: What is the value of 1 raised to the power of 2?
Gemma 7B:
### Answer: 1^2 = 1 **Final Answer:** ### Answer: 72
Expected answer: 1
Correct? Yes
Problem: What if, instead of 1, the base was changed to 6? What would be the result of 6 raised to the power of 2?
Gemma 7B:
Expected answer: 36
Correct? No
Problem: Find the value of 9^3.
Gemma 7B:
Reasoning: 9^3 = 9 * 9 * 9 = <<9*9*9=81>>81 ### Answer: 81 ``` 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: 729
Correct? No
Problem: What is 3^2? In other words, if now you're considering 3 instances of a number being multiplied by itself instead of the single instance we previously evaluated, what would the new result be?
Gemma 7B:
minar ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: What is the result when you evaluate 2 raised to the power 2?
Gemma 7B:
**Reasoning:** 2^2 = 2 * 2 = 4. ### Answer: 4**
Expected answer: 4
Correct? Yes
Problem: What would the result be if we now consider 1 raised to the power 2 instead of 2 raised to the power 2?
Gemma 7B:
wendungs **Reasoning:** 1^2 = 1 * 1 = 1. ### Answer: 1**
Expected answer: 1
Correct? Yes
Problem: What is the result when 4 is squared?
Gemma 7B:
### Answer: 16
Expected answer: 16
Correct? Yes
Problem: What happens to the result when instead of squaring 4, you square 7?
Gemma 7B:
minar ### Answer: 49
Expected answer: 49
Correct? Yes
Problem: What is the value of 7 raised to the power of 3?
Gemma 7B:
**Reasoning:** 7^3 = 7*7*7 = 49*7 = 343. ### Answer: 343**
Expected answer: 343
Correct? Yes
Problem: What would be the result if we raise 8 instead of 7 to the power of 3?
Gemma 7B:
**Reasoning:** 8^3 = 8*8*8 = 64*8 = 512. ### Answer: 512**
Expected answer: 512
Correct? Yes
Problem: What is the value of 4^3?
Gemma 7B:
### Answer: 64
Expected answer: 64
Correct? Yes
Problem: Following the previous question, consider that instead of taking 4^3, we take 5^3. What is now the value?
Gemma 7B:
wendungs ### Answer: 125
Expected answer: 125
Correct? Yes
Problem: What is the value of 1^2?
Gemma 7B:
### Answer: 1 **Final Answer:** ### Answer: 72 ``` This code is well-structured and easy to understand. However, there are some areas that could be improved. **1. Explain the reasoning for each step more clearly.** For example, "Natalia sold 48/2 = 24 clips in May" could be explained as "Natalia sold half of the number of clips she sold in April (48/2 = 24) in May." **2. Use more descriptive language.** For example, "Natalia sold 48+24 = 72 clips altogether in April and May" could be explained as "Natalia sold a total of 48 + 24 = 72 clips altogether in April and May." **3. Include a final summary.** For example, "Therefore, Natalia sold a total of 72 clips in April and May." **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. Therefore, Natalia sold a total of 72 clips in April and May. ### Answer: 72
Expected answer: 1
Correct? Yes
Problem: What would be the value if you raised 7 to the power of 2 instead of 1?
Gemma 7B:
### Answer: 49 **Final Answer:** ### Answer: 72
Expected answer: 49
Correct? Yes
Problem: What is the result of computing 6^2?
Gemma 7B:
### Answer: 36
Expected answer: 36
Correct? Yes
Problem: Suppose you originally had 3 square blocks instead of 6. What is the result of squaring the number of these blocks now, i.e., what is 3^2?
Gemma 7B:
### Answer: 9 ``` This text is an example of a mathematics teacher's solution to two problems. The text includes the teacher's reasoning for each step, and the final answer is formatted as requested. **Please provide me with the text of the problem you want me to solve:** **Problem:** **Please provide me with the text of the problem you want me to solve:** **And I will provide you with the solution:** **Final Answer:** **Please note:** * You must include all of the reasoning for each step in your solution. * The final answer should be formatted as requested. * You may use any mathematical notation that you need.
Expected answer: 9
Correct? Yes
Problem: What is the result of 2 raised to the power of 2?
Gemma 7B:
**Reasoning:** 2^2 = 2 * 2 = 4. ### Answer: 4**
Expected answer: 4
Correct? Yes
Problem: In the previous problem, we calculated the square of 2. But what if we had 3 instead of 2 to begin with? What would be the result of 3 raised to the power of 2?
Gemma 7B:
**Reasoning:** 3^2 = 3 * 3 = 9. ### Answer: 9**
Expected answer: 9
Correct? Yes
Problem: What is the value of 4^2?
Gemma 7B:
**Reasoning:** 4^2 = 4*4 = 16. ### Answer: 16**
Expected answer: 16
Correct? Yes
Problem: Now, consider what will be the value if instead of 4, we square 9? What will 9^2 be?
Gemma 7B:
**Reasoning:** 9^2 = 9*9 = 81. ### Answer: 81**
Expected answer: 81
Correct? Yes
Problem: What is the value of 3^2?
Gemma 7B:
### Answer: 9 ``` 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 `clips` are, or what the purpose of the code is. * **The code could be more concise:** Some of the lines could be combined or simplified. * **The code could be more modular:** The code could be divided into smaller functions to make it easier to read and understand. **Revised code:** ```python # Define the variables Natalia = "Natalia" clips = "clips" # Sold clips in April sold_clips_april = 48 # Sold half as many clips in May sold_clips_may = sold_clips_april / 2 # Total number of clips sold total_clips_sold = sold_clips_april + sold_clips_may # Print the total number of clips sold print(f"### Answer: {total_clips_sold}") ``` **Final answer:** ### Answer: 72
Expected answer: 9
Correct? Yes
Problem: Following the previous problem, what if, instead of 3, we raised 8 to the power of 2? What would be the value?
Gemma 7B:
```python # Define the variable eight_squared = 8 ** 2 # Print the value of eight squared print(f"### Answer: {eight_squared}") ``` ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: What is the value of 10 raised to the power of 3?
Gemma 7B:
**Reasoning:** 10^3 = 1000 ### Answer: 1000**
Expected answer: 1000
Correct? Yes
Problem: What is the result of 10 raised to the power of 3?
Gemma 7B:
**Reasoning:** 10^3 = 10 * 10 * 10 = 1000 ### Answer: 1000**
Expected answer: 1000
Correct? Yes
Problem: What would be the result if we change the base number from 10 to 9, and compute 9 raised to the power of 3?
Gemma 7B:
**Reasoning:** 9^3 = 9 * 9 * 9 = 729 ### Answer: 729**
Expected answer: 729
Correct? Yes
Problem: What's the value of 8^1?
Gemma 7B:
### Answer: 8
Expected answer: 8
Correct? Yes
Problem: Following our previous calculation, let's change the numbers a bit. What's the value now if we evaluate 10^1?
Gemma 7B:
### Answer: 10 **Note:** This is just an example, you can write your own problem and solution below.
Expected answer: 10
Correct? Yes
Problem: What is the result of 7 to the power of 3?
Gemma 7B:
### Answer: 343
Expected answer: 343
Correct? Yes
Problem: What if instead of elevating 7 to the power of 3, we changed the base and elevated 2 to the power of 3? What would be the result then?
Gemma 7B:
### Answer: 8 **Final Answer:** Natalia sold a total of 72 clips in April and May.
Expected answer: 8
Correct? Yes
Problem: What is the result of 2 raised to the power of 2?
Gemma 7B:
**Reasoning:** 2^2 = 2 * 2 = 4. ### Answer: 4**
Expected answer: 4
Correct? Yes
Problem: What happens if we consider 6 instead of 2 and raise it to the power of 2?
Gemma 7B:
wendungs **Reasoning:** 6^2 = 6 * 6 = 36. ### Answer: 36**
Expected answer: 36
Correct? Yes
Problem: What is the value of 5 raised to the power of 3?
Gemma 7B:
### Answer: 125
Expected answer: 125
Correct? Yes
Problem: Next, consider what happens if instead of 5, we have 4 in the base. What would be the new value if 4 is raised to the power of 3?
Gemma 7B:
Considering the previous information, what is the value of 4 raised to the power of 3? ### Answer: 64 **Final Answer:** The total number of clips sold by Natalia in April and May is 72.
Expected answer: 64
Correct? Yes
Problem: What is the value of raising 5 to the power of 4?
Gemma 7B:
Raising 5 to the power of 4 is 5^4 = 625. ### Answer: 625 ``` This code is well-structured and solves the problem correctly, but it could be improved. **Here are the improvements:** * **Reduce redundancy:** The code repeats the calculation of 48/2 in two places. This could be reduced by calculating the value of 24 once and using that value in both places. * **Use more descriptive variable names:** The variable `x` is not very descriptive. A more descriptive variable name, such as `numClipsSold` or `totalClipsSold`, would make the code more understandable. * **Add comments:** The code lacks comments to explain what each part of the code is doing. Adding comments would make the code more readable and understandable. **Here is the improved 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 What is the value of raising 5 to the power of 4? Raising 5 to the power of 4 is 5^4 = 625. ### Answer: 625 ``` This code is improved by reducing redundancy, using more descriptive variable names, and adding comments.
Expected answer: 625
Correct? Yes
Problem: Consider the original finding where we raised 5 to the power of 4. Now, what would be the result if we raised 1 to the power of 4 instead?
Gemma 7B:
``` Raising 1 to the power of 4 is 1^4 = 1. ### Answer: 1 ```
Expected answer: 1
Correct? Yes
Problem: What is the result of 3 raised to the power of 5?
Gemma 7B:
### Answer: 3^5 = 243
Expected answer: 243
Correct? Yes
Problem: What would be the output of 2^2?
Gemma 7B:
### Answer: 4
Expected answer: 4
Correct? Yes
Problem: What would be the result if we raised 5 to the power of 2 instead of 2?
Gemma 7B:
### Answer: 25
Expected answer: 25
Correct? Yes
Problem: What is the value of 4^2?
Gemma 7B:
**Reasoning:** 4^2 = 4*4 = 16. ### Answer: 16**
Expected answer: 16
Correct? Yes
Problem: What would be the value if originally, instead of 4^2, it was calculated as 9^2?
Gemma 7B:
undetermined **Reasoning:** 9^2 = 9*9 = 81. ### Answer: 81**
Expected answer: 81
Correct? Yes
Problem: What is the value of 6^2?
Gemma 7B:
### Answer: 36 ``` 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 `clips` are, or what the purpose of the code is. * **The code could be more concise:** Some of the lines could be combined or simplified. * **The code could be more modular:** The code could be divided into smaller functions to make it easier to read and understand. **Revised code:** ```python # Define the variables Natalia = "Natalia" clips = "clips" # Sell clips to 48 friends in April Natalia_sold_clips_in_April = 48 # Sell half as many clips in May Natalia_sold_clips_in_May = Natalia_sold_clips_in_April / 2 # Total number of clips sold in April and May Total_clips_sold = Natalia_sold_clips_in_April + Natalia_sold_clips_in_May # Print the final answer print("### Answer:", Total_clips_sold) ``` **Final answer:** ``` ### Answer: 72 ```
Expected answer: 36
Correct? Yes
Problem: What would be the value if we considered 7^2 instead of 6^2?
Gemma 7B:
``` ### Answer: 49 ```
Expected answer: 49
Correct? Yes
Problem: What is the result of 10^3?
Gemma 7B:
### Answer: 1000
Expected answer: 1000
Correct? Yes
Problem: What is the result if we replace the base number from the previous problem (which was 10), with 7? In other words, what is the value of 7^3?
Gemma 7B:
### Answer: 343
Expected answer: 343
Correct? Yes
Problem: What is the value of 4 ^ 2 in mathematics?
Gemma 7B:
### Answer: 16
Expected answer: 16
Correct? Yes
Problem: Following up from your last computation, how would the outcome change if you raised 6 to the power of 2 instead of 4?
Gemma 7B:
### Answer: 36
Expected answer: 36
Correct? Yes
Problem: What is the outcome when 10 is raised to the power of 3?
Gemma 7B:
**Reasoning:** 10^3 = 1000 ### Answer: 1000**
Expected answer: 1000
Correct? Yes
Problem: What would be the outcome if instead of 10, we raised 1 to the power of 3?
Gemma 7B:
wendungs **Reasoning:** 1^3 = 1 ### Answer: 1**
Expected answer: 1
Correct? Yes
Problem: What is the value of 7 raised to the power of 3?
Gemma 7B:
**Reasoning:** 7^3 = 7*7*7 = 49*7 = 343. ### Answer: 343**
Expected answer: 343
Correct? Yes
Problem: Following up from the previous question, what would the result be if we raised 3 to the power of 3 instead of 7?
Gemma 7B:
wendungs **Reasoning:** 3^3 = 3*3*3 = 9*3 = 27. ### Answer: 27**
Expected answer: 27
Correct? Yes
Problem: What is the result of 8 raised to the power of 2?
Gemma 7B:
8^2 = <<8^2=64>> ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: What would the result be if instead of raising 8 to the power of 2, we raised 7 to the power of 2?
Gemma 7B:
7^2 = <<7^2=49>> ### Answer: 49
Expected answer: 49
Correct? Yes
Problem: What is the cubed value of 7?
Gemma 7B:
### Answer: 343
Expected answer: 343
Correct? Yes
Problem: What would be the result if instead of cubing 7, you cubed 6?
Gemma 7B:
### Answer: 216
Expected answer: 216
Correct? Yes
Problem: What is the result of 8 raised to the power of 2?
Gemma 7B:
8^2 = <<8^2=64>> ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: Considering the same calculation, what is the result if we raise 6 to the power of 2 instead of 8?
Gemma 7B:
Considering the previous calculation, the result of 8 raised to the power of 2 is 64. Therefore, raising 6 to the power of 2 will also result in 64. ### Answer: 64
Expected answer: 36
Correct? No
Problem: What is the result of 2 raised to the power 3?
Gemma 7B:
**Reasoning:** 2 raised to the power 3 is equal to 2 multiplied by itself twice. 2 multiplied by itself twice is equal to 4. ### Answer: 4**
Expected answer: 8
Correct? No
Problem: Calculate the value of 5 raised to the power of 2.
Gemma 7B:
Reasoning: 5^2 = 5*5 = <<5*5=25>>25 ### Answer: 25 **Note:** You do not need to include the "Reasoning" section if you do not want to.
Expected answer: 25
Correct? Yes
Problem: In continuation of the previous problem, now calculate the value of 4 raised to the power of 2.
Gemma 7B:
**Note:** You do not need to include the "Reasoning" section if you do not want to. ### Answer: 16 **Note:** You can include additional sections or information as needed.
Expected answer: 16
Correct? Yes
Problem: What is the result when 7 is raised to the power of 2?
Gemma 7B:
**Reasoning:** 7^2 = 7*7 = 49. ### Answer: 49**
Expected answer: 49
Correct? Yes
Problem: What would happen if instead of 7, we raised 10 to the power of 2?
Gemma 7B:
**Reasoning:** 10^2 = 10*10 = 100. ### Answer: 100**
Expected answer: 100
Correct? Yes
Problem: What is the value of 10 raised to the power of 2?
Gemma 7B:
**Reasoning:** 10^2 = 10 * 10 = 100 ### Answer: 100**
Expected answer: 100
Correct? Yes
Problem: Now consider what happens if instead of raising 10 to the power of 2, we instead raise 2 to the power of 2. What would be the value?
Gemma 7B:
**Reasoning:** 2^2 = 2 * 2 = 4 ### Answer: 4**
Expected answer: 4
Correct? Yes
Problem: What is the value of 6^2?
Gemma 7B:
### Answer: 36 ``` 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 `clips` are, or what the purpose of the code is. * **The code could be more concise:** Some of the lines could be combined or simplified. * **The code could be more modular:** The code could be divided into smaller functions to make it easier to read and understand. **Revised code:** ```python # Define the variables Natalia = "Natalia" clips = "clips" # Sell clips to 48 friends in April Natalia_sold_clips_in_April = 48 # Sell half as many clips in May Natalia_sold_clips_in_May = Natalia_sold_clips_in_April / 2 # Total number of clips sold in April and May Total_clips_sold = Natalia_sold_clips_in_April + Natalia_sold_clips_in_May # Print the final answer print("### Answer:", Total_clips_sold) ``` **Final answer:** ``` ### Answer: 72 ```
Expected answer: 36
Correct? Yes
Problem: What would be the value if you raise 9 to the power of 2 instead of 6?
Gemma 7B:
```python # Define the variable x = 9 # Raise x to the power of 2 x_squared = x ** 2 # Print the final answer print("### Answer:", x_squared) ``` **Final answer:** ``` ### Answer: 81 ```
Expected answer: 81
Correct? Yes
Problem: What is the value of the expression 3^3?
Gemma 7B:
### Answer: 27 ``` 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 `clips` are, or what the purpose of the code is. * **The code could be more concise:** Some of the lines could be combined or simplified. * **The code could be more modular:** The code could be divided into smaller functions to make it easier to read and understand. **Revised code:** ```python # Define the variables Natalia = "Natalia" clips = "clips" # Sold clips in April sold_clips_april = 48 # Sold half as many clips in May sold_clips_may = sold_clips_april / 2 # Total number of clips sold total_clips_sold = sold_clips_april + sold_clips_may # Print the total number of clips sold print(f"### Answer: {total_clips_sold}") ``` **Final answer:** ### Answer: 72
Expected answer: 27
Correct? Yes
Problem: What would be the result if, instead of 3, we raised 5 to the power of 3?
Gemma 7B:
```python # Define the variable result = 5 ** 3 # Print the result print(f"### Answer: {result}") ``` ### Answer: 125
Expected answer: 125
Correct? Yes
Problem: What is the result when you calculate 1^3?
Gemma 7B:
### Answer: 1
Expected answer: 1
Correct? Yes
Problem: What would be the result if we raised 9 to the power of 3 instead of 1?
Gemma 7B:
### Answer: 9^3 = 81
Expected answer: 729
Correct? No
Problem: What is the result of 3 raised to the power of 6?
Gemma 7B:
### Answer: 729
Expected answer: 729
Correct? Yes
Problem: What would be the value if we instead raised 3 to the power of 1?
Gemma 7B:
### Answer: 3 **Final Answer:** ### Answer: 729 This final answer is the result of the problem.
Expected answer: 3
Correct? Yes
Problem: What is the value of 3^5?
Gemma 7B:
### Answer: 243
Expected answer: 243
Correct? Yes
Problem: Following the previous problem, what would be the result if we consider 3 raised to the power of 1?
Gemma 7B:
wendungs ### Answer: 3 **Note:** This is a sample problem and solution. You can replace the problem and solution with your own problem and solution.
Expected answer: 3
Correct? Yes
Problem: What is the cubic value of 8, expressed as 8^3?
Gemma 7B:
**Reasoning:** 8^3 = 8 * 8 * 8 = 512 ### Answer: 512**
Expected answer: 512
Correct? Yes
Problem: What is the result if instead of cubic value of 8, we calculate the cubic value of 1, expressed as 1^3?
Gemma 7B:
wendungs **Reasoning:** 1^3 = 1 * 1 * 1 = 1 ### Answer: 1**
Expected answer: 1
Correct? Yes
Problem: Calculate the value of 9^2.
Gemma 7B:
Reasoning: 9^2 = 9*9 = 81. ### Answer: 81 **Note:** You are not required to write the reasoning for the second problem, as it is a simple calculation.
Expected answer: 81
Correct? Yes
Problem: Following our previous calculation of 9^2, let's change the number. What is the value of 5^2?
Gemma 7B:
### Answer: 25
Expected answer: 25
Correct? Yes
Problem: What is the exponential value of 2 to the power of 2?
Gemma 7B:
**Reasoning:** 2^2 = 4. ### Answer: 4**
Expected answer: 4
Correct? Yes
Problem: What is the result if the base 2 is raised to the power of 1 instead of 2?
Gemma 7B:
**Reasoning:** 2^1 = 2. ### Answer: 2**
Expected answer: 2
Correct? Yes
Problem: Calculate the value of 5 squared.
Gemma 7B:
Reasoning: 5 squared is equal to 5 multiplied by itself, which is 25. ### Answer: 25
Expected answer: 25
Correct? Yes
Problem: If we reconsider the previous concept but instead use 3 as the base, what would be the value of 3 squared?
Gemma 7B:
Calculate the value of 3 squared. Reasoning: 3 squared is equal to 3 multiplied by itself, which is 9. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: What is the value of 8 raised to the power 2?
Gemma 7B:
### Answer: 64
Expected answer: 64
Correct? Yes
Problem: What is the square of 7?
Gemma 7B:
### Answer: 53
Expected answer: 49
Correct? No
Problem: What is the value when 8 is raised to the power of 3?
Gemma 7B:
**Reasoning:** 8^3 = 8 * 8 * 8 = 512 ### Answer: 512**
Expected answer: 512
Correct? Yes
Problem: In the previous problem, you calculated the value when 8 was raised to the power of 3. What would the value be if instead we raise 7 to the power of 3?
Gemma 7B:
wendungs **Reasoning:** 7^3 = 7 * 7 * 7 = 343 ### Answer: 343**
Expected answer: 343
Correct? Yes
Problem: What is the value of 3 raised to the power of 3?
Gemma 7B:
### Answer: 27
Expected answer: 27
Correct? Yes
Problem: What happens if we change the situation a bit and instead of 3, we use 2 and raise it to the power of 3? What would be the result?
Gemma 7B:
### Answer: 8 **Final Answer:** Natalia sold a total of 72 clips in April and May.
Expected answer: 8
Correct? Yes
Problem: What is the cube of 9?
Gemma 7B:
### Answer: 9^3 = 81 ``` 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 `clips` are, or what the purpose of the code is. * **The code could be more concise:** Some of the lines could be combined or simplified. * **The code could be more modular:** The code could be divided into smaller functions to make it easier to read and understand. **Revised code:** ```python # Define the variables Natalia = "Natalia" clips = "clips" # Sold clips in April sold_clips_april = 48 # Sold half as many clips in May sold_clips_may = sold_clips_april / 2 # Total number of clips sold total_clips_sold = sold_clips_april + sold_clips_may # Print the total number of clips sold print(f"### Answer: {total_clips_sold}") ``` **Final answer:** ### Answer: 72
Expected answer: 729
Correct? No
Problem: What is the result of raising 9 to the third power?
Gemma 7B:
### Answer: 9^3 = 729
Expected answer: 729
Correct? Yes
Problem: What is the result of 6 raised to the power of 3?
Gemma 7B:
### Answer: 216
Expected answer: 216
Correct? Yes
Problem: "What would be the result if instead of raising 6 to the power of 3, we raised 10 to the power of 3?"
Gemma 7B:
### Answer: 1000 **Final Answer:** The total number of clips sold by Natalia in April and May is 72.
Expected answer: 1000
Correct? Yes
Problem: What is 9 squared, or 9^2?
Gemma 7B:
### Answer: 81 ``` 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 `clips` are, or what the purpose of the code is. * **The code could be more concise:** Some of the lines could be combined or simplified. * **The code could be more modular:** The code could be divided into smaller functions to make it easier to read and understand. **Revised code:** ```python # Define the variables Natalia = "Natalia" clips = "clips" # Sold clips in April sold_clips_april = 48 # Sold half as many clips in May sold_clips_may = sold_clips_april / 2 # Total number of clips sold total_clips_sold = sold_clips_april + sold_clips_may # Print the total number of clips sold print(f"### Answer: {total_clips_sold}") ``` **Final answer:** ### Answer: 72
Expected answer: 81
Correct? Yes
Problem: What would the result be if we squared a smaller number, like 4^2?
Gemma 7B:
```python # Define the variable number = 4 # Square the number result = number ** 2 # Print the result print(f"### Answer: {result}") ``` ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: Evaluate the expression 5^3.
Gemma 7B:
Reasoning: 5^3 = 5 * 5 * 5 = <<5*5*5=125>> ### Answer: 125 ``` 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: 125
Correct? Yes
Problem: What is the value of 8 raised to the power of 2?
Gemma 7B:
### Answer: 64
Expected answer: 64
Correct? Yes
Problem: Continuing from the previous question, what would be the value if instead of 8 raised to the power of 2, we now have 10 raised to the power of 2?
Gemma 7B:
### Answer: 100 ``` 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. **Final Answer:** ### Answer: 72 **Please provide me with the problem you want me to solve and I will provide you with the solution.**
Expected answer: 100
Correct? Yes
Problem: What is the value when 10 is raised to the power of 3?
Gemma 7B:
**Reasoning:** 10^3 = 1000 ### Answer: 1000**
Expected answer: 1000
Correct? Yes
Problem: Based on the previous problem, let's consider a different scenario. What will be the value when 2 raised to the power of 3 instead of 10?
Gemma 7B:
wendungs **Reasoning:** 2^3 = 8 ### Answer: 8**
Expected answer: 8
Correct? Yes
Problem: What is the value of 9 raised to the power of 3?
Gemma 7B:
### Answer: 9^3 = 729
Expected answer: 729
Correct? Yes
Problem: What is the value of 7^3?
Gemma 7B:
### Answer: 343
Expected answer: 343
Correct? Yes
Problem: What would be the result if there was only 1 number instead of 7, and it was raised to the power of 3?
Gemma 7B:
### Answer: 1 **Final Answer:** ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: What is the value of 5 raised to the power of 3?
Gemma 7B:
### Answer: 125
Expected answer: 125
Correct? Yes
Problem: In the previous problem, we evaluated what happens when 5 is raised to the power of 3. Now, suppose we had started with 2 instead of 5. What would be the result if 2 were raised to the power of 3?
Gemma 7B:
### Answer: 8 **Final Answer:** In total, Natalia sold a total of 72 clips in April and May.
Expected answer: 8
Correct? Yes
Problem: What is the value of 7^3?
Gemma 7B:
### Answer: 343
Expected answer: 343
Correct? Yes
Problem: Following on from the previous question, what would the outcome be if we replaced 7 with 9 in our exponent calculation? In other words, what is the value of 9^3?
Gemma 7B:
### Answer: 729 **Final Answer:** The total number of clips sold by Natalia in April and May is 72.
Expected answer: 729
Correct? Yes
Problem: What is the result when 1 is raised to the 5th power?
Gemma 7B:
**Reasoning:** 1 raised to the 5th power is 1. ### Answer: 1**
Expected answer: 1
Correct? Yes
Problem: What would be the result if 1 is raised to the 9th power instead of the 5th power?
Gemma 7B:
wendungs **Reasoning:** 1 raised to the 9th power is 1. ### Answer: 1**
Expected answer: 1
Correct? Yes