金声玉亮2.0模型评测报告

There is a single choice question about elementary mathematics. Answer the question by replying A, B, C or D.
Question: What is the value of the expression 2(3(4^2 + 1)) - 2^3?
A. 156
B. 110
C. 94
D. 48
Answer:

答案

模型	模型答案	正确答案
金声玉亮2.0	C. 94	C
deepseekr1	The expression is evaluated using the order of operations (PEMDAS). Start by solving the innermost parentheses: 1. Compute \(4^2 + 1\): \(4^2 = 16\), so \(16 + 1 = 17\). 2. Multiply by 3: \(3 \times 17 = 51\). 3. Multiply by 2: \(2 \times 51 = 102\). 4. Compute \(2^3\): \(2^3 = 8\). 5. Subtract the results: \(102 - 8 = 94\). The final answer is C. 94. Answer: C	C
gpto1	C	C
GPT-4o	Let's solve the expression step by step: First, evaluate inside the parentheses: \[ 4^2 = 16 \] Then: \[ 4^2 + 1 = 16 + 1 = 17 \] Next, multiply by 3: \[ 3 \times 17 = 51 \] Now, multiply by 2: \[ 2 \times 51 = 102 \] Then subtract \( 2^3 \): \[ 2^3 = 8 \] So: \[ 102 - 8 = 94 \] Therefore, the value of the expression is: \[ 94 \] So, the correct answer is: \[ \boxed{C} \]	C
llama3.1-70B-Instruct	To evaluate the expression 2(3(4^2 + 1)) - 2^3, we need to follow the order of operations (PEMDAS): 1. Evaluate the exponentiation: 4^2 = 16 2. Add 1: 16 + 1 = 17 3. Multiply by 3: 3(17) = 51 4. Multiply by 2: 2(51) = 102 5. Evaluate the exponentiation: 2^3 = 8 6. Subtract 8 from 102: 102 - 8 = 94 Therefore, the correct answer is C. 94.	C
llama3.1-405B-Instruct	To solve this expression, we need to follow the order of operations (PEMDAS): 1. Evaluate the exponentiation: 4^2 = 16 2. Add 1: 16 + 1 = 17 3. Multiply by 3: 3(17) = 51 4. Multiply by 2: 2(51) = 102 5. Evaluate the exponentiation: 2^3 = 8 6. Subtract 8 from 102: 102 - 8 = 94 The correct answer is C. 94.	C
DeepSeek-Coder-V2	C. 94	C
Qwen2-72B-Instruct	B. 110	C
baichuan4	Let's calculate the expression step by step: 1. Calculate the power: 4^2 = 16 2. Add 1 to the result: 16 + 1 = 17 3. Multiply by 3: 3 * 17 = 51 4. Multiply by 2: 2 * 51 = 102 5. Calculate the power: 2^3 = 8 6. Subtract 8 from 102: 102 - 8 = 94 So, the answer is C. 94.	C
doubao	First calculate inside the parentheses: 4^2 = 16, 16 + 1 = 17. Then multiply by 3: 3 * 17 = 51. Then multiply by 2: 2 * 51 = 102. Finally calculate 2^3 = 8. Subtract 8 from 102: 102 - 8 = 94. So the answer is C.	C
minimax	Let's solve the expression step by step: 2(3(4^2 + 1)) - 2^3 First, calculate the exponent: 4^2 = 16 Then add 1: 16 + 1 = 17 Multiply by 3: 3 * 17 = 51 Multiply by 2: 2 * 51 = 102 Now calculate 2^3: 2^3 = 2 * 2 * 2 = 8 Finally, subtract 2^3 from the previous result: 102 - 8 = 94 The value of the expression is 94. Answer: C. 94	C
kimi	To solve the expression \(2(3(4^2 + 1)) - 2^3\), we need to follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right), often abbreviated as PEMDAS. Let's break it down step by step: 1. Calculate the exponent: \(4^2 = 16\) 2. Add the result to 1: \(16 + 1 = 17\) 3. Multiply the result by 3: \(3 \times 17 = 51\) 4. Multiply the result by 2: \(2 \times 51 = 102\) 5. Calculate the exponent for \(2^3\): \(2^3 = 8\) 6. Subtract the result from the previous step: \(102 - 8 = 94\) So the value of the expression is 94. Answer: C. 94	C
wenxinyiyan	C Explanation: 1. Start by evaluating the exponent within the innermost parentheses: 4^2 = 16 2. Now, evaluate the innermost parentheses by adding 1 to the result of the exponent: 16 + 1 = 17 3. Multiply the result by 3: 3 * 17 = 51 4. Multiply the result by 2: 2 * 51 = 102 5. Calculate 2^3: 2^3 = 8 6. Subtract the result of step 5 from the result of step 4: 102 - 8 = 94 So, the value of the expression 2(3(4^2 + 1)) - 2^3 is 94.	C
zhipu	To solve the expression \(2(3(4^2 + 1)) - 2^3\), follow the order of operations (PEMDAS/BODMAS): 1. Parentheses/Brackets: - Inside the innermost parentheses: \(4^2 + 1\) - Calculate \(4^2 = 16\) - Then \(16 + 1 = 17\) 2. Multiplication: - Multiply by 3: \(3 \times 17 = 51\) 3. Multiplication: - Multiply by 2: \(2 \times 51 = 102\) 4. Exponents/Orders: - Calculate \(2^3 = 8\) 5. Subtraction: - Subtract \(8\) from \(102\): \(102 - 8 = 94\) So, the value of the expression is \(94\). Therefore, the correct answer is: C. 94	C
gpto1	C	C
deepseekv3	To find the value of the expression \( 2(3(4^2 + 1)) - 2^3 \), we will simplify it step by step. 1. First, compute the exponentiation inside the innermost parentheses: \[ 4^2 = 16 \] 2. Next, add 1 to the result: \[ 16 + 1 = 17 \] 3. Multiply by 3: \[ 3 \times 17 = 51 \] 4. Multiply by 2: \[ 2 \times 51 = 102 \] 5. Compute the exponentiation outside the parentheses: \[ 2^3 = 8 \] 6. Finally, subtract the two results: \[ 102 - 8 = 94 \] The value of the expression is \( 94 \), which corresponds to option C. \boxed{C}	C

模型

模型答案

正确答案

金声玉亮2.0

C. 94

deepseekr1

The expression is evaluated using the order of operations (PEMDAS). Start by solving the innermost parentheses:
1. Compute \(4^2 + 1\):
\(4^2 = 16\), so \(16 + 1 = 17\).
2. Multiply by 3:
\(3 \times 17 = 51\).
3. Multiply by 2:
\(2 \times 51 = 102\).
4. Compute \(2^3\):
\(2^3 = 8\).
5. Subtract the results:
\(102 - 8 = 94\).

The final answer is **C. 94**.

Answer: C

gpto1

GPT-4o

Let's solve the expression step by step:

First, evaluate inside the parentheses:
\[ 4^2 = 16 \]

Then:
\[ 4^2 + 1 = 16 + 1 = 17 \]

Next, multiply by 3:
\[ 3 \times 17 = 51 \]

Now, multiply by 2:
\[ 2 \times 51 = 102 \]

Then subtract \( 2^3 \):
\[ 2^3 = 8 \]

So:
\[ 102 - 8 = 94 \]

Therefore, the value of the expression is:
\[ 94 \]

So, the correct answer is:
\[ \boxed{C} \]

llama3.1-70B-Instruct

To evaluate the expression 2(3(4^2 + 1)) - 2^3, we need to follow the order of operations (PEMDAS):

1. Evaluate the exponentiation: 4^2 = 16
2. Add 1: 16 + 1 = 17
3. Multiply by 3: 3(17) = 51
4. Multiply by 2: 2(51) = 102
5. Evaluate the exponentiation: 2^3 = 8
6. Subtract 8 from 102: 102 - 8 = 94

Therefore, the correct answer is C. 94.

llama3.1-405B-Instruct

To solve this expression, we need to follow the order of operations (PEMDAS):

1. Evaluate the exponentiation: 4^2 = 16
2. Add 1: 16 + 1 = 17
3. Multiply by 3: 3(17) = 51
4. Multiply by 2: 2(51) = 102
5. Evaluate the exponentiation: 2^3 = 8
6. Subtract 8 from 102: 102 - 8 = 94

The correct answer is C. 94.

DeepSeek-Coder-V2

C. 94

Qwen2-72B-Instruct

B. 110

baichuan4

Let's calculate the expression step by step:

1. Calculate the power: 4^2 = 16
2. Add 1 to the result: 16 + 1 = 17
3. Multiply by 3: 3 * 17 = 51
4. Multiply by 2: 2 * 51 = 102
5. Calculate the power: 2^3 = 8
6. Subtract 8 from 102: 102 - 8 = 94

So, the answer is C. 94.

doubao

First calculate inside the parentheses: 4^2 = 16, 16 + 1 = 17. Then multiply by 3: 3 * 17 = 51. Then multiply by 2: 2 * 51 = 102. Finally calculate 2^3 = 8. Subtract 8 from 102: 102 - 8 = 94. So the answer is C.

minimax

Let's solve the expression step by step:

2(3(4^2 + 1)) - 2^3

First, calculate the exponent:
4^2 = 16

Then add 1:
16 + 1 = 17

Multiply by 3:
3 * 17 = 51

Multiply by 2:
2 * 51 = 102

Now calculate 2^3:
2^3 = 2 * 2 * 2 = 8

Finally, subtract 2^3 from the previous result:
102 - 8 = 94

The value of the expression is 94.

Answer: C. 94

kimi

To solve the expression \(2(3(4^2 + 1)) - 2^3\), we need to follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right), often abbreviated as PEMDAS.

Let's break it down step by step:

1. Calculate the exponent: \(4^2 = 16\)
2. Add the result to 1: \(16 + 1 = 17\)
3. Multiply the result by 3: \(3 \times 17 = 51\)
4. Multiply the result by 2: \(2 \times 51 = 102\)
5. Calculate the exponent for \(2^3\): \(2^3 = 8\)
6. Subtract the result from the previous step: \(102 - 8 = 94\)

So the value of the expression is 94.

Answer: C. 94

wenxinyiyan

C

Explanation:

1. Start by evaluating the exponent within the innermost parentheses:
4^2 = 16
2. Now, evaluate the innermost parentheses by adding 1 to the result of the exponent:
16 + 1 = 17
3. Multiply the result by 3:
3 * 17 = 51
4. Multiply the result by 2:
2 * 51 = 102
5. Calculate 2^3:
2^3 = 8
6. Subtract the result of step 5 from the result of step 4:
102 - 8 = 94

So, the value of the expression 2(3(4^2 + 1)) - 2^3 is 94.

zhipu

To solve the expression \(2(3(4^2 + 1)) - 2^3\), follow the order of operations (PEMDAS/BODMAS):

1. **Parentheses/Brackets**:
- Inside the innermost parentheses: \(4^2 + 1\)
- Calculate \(4^2 = 16\)
- Then \(16 + 1 = 17\)

2. **Multiplication**:
- Multiply by 3: \(3 \times 17 = 51\)

3. **Multiplication**:
- Multiply by 2: \(2 \times 51 = 102\)

4. **Exponents/Orders**:
- Calculate \(2^3 = 8\)

5. **Subtraction**:
- Subtract \(8\) from \(102\): \(102 - 8 = 94\)

So, the value of the expression is \(94\).

Therefore, the correct answer is:
C. 94

gpto1

deepseekv3

To find the value of the expression \( 2(3(4^2 + 1)) - 2^3 \), we will simplify it step by step.

1. First, compute the exponentiation inside the innermost parentheses:
\[
4^2 = 16
\]
2. Next, add 1 to the result:
\[
16 + 1 = 17
\]
3. Multiply by 3:
\[
3 \times 17 = 51
\]
4. Multiply by 2:
\[
2 \times 51 = 102
\]
5. Compute the exponentiation outside the parentheses:
\[
2^3 = 8
\]
6. Finally, subtract the two results:
\[
102 - 8 = 94
\]

The value of the expression is \( 94 \), which corresponds to option **C**.

\boxed{C}

问题

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