doc_id int64 | doc string | target string | arguments string | exact_match int64 | extracted_answers string | source_file string | info string | eval_type string | response_to_evaluate string | row_idx int64 | gen_idx int64 | eval_extracted_answer string | answer_extraction_llm_prompt string | answer_extraction_reasoning string | model_name string | answer_idx int64 | answer_is_correct bool | answer_judgement_reasoning string | answer_judgement_llm_prompt string | internal_answers_per_gen list | internal_answers_is_correct_per_gen list | internal_answers_judgement_reasoning_per_gen list | internal_answers_judgement_llm_prompt_per_gen list | responses_to_evaluate list | eval_extracted_answers list | answer_is_corrects list | mock_budget_force_convo list |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0 | {"question": "What is the solution to the long multiplication equation below?\n\n94 x 74\n\nThink step by step.", "solution": "6956", "model_responses": ["Let's break down the multiplication of 94 by 74 step by step.\n\n1. First, we'll break it down into smaller multiplications:\n - Multiply 94 by 70 (since 74 = 70 +... | 6956 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n94 x 74\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["6956"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["Step 1: Break down the multiplication into smaller, more manageable problems\n94 x 74 = (90 + 4) x 74\n\nStep 2: Apply the distributive property to the multiplication\n= 90 x 74 + 4 x 74\n\nStep 3: Multiply 90 by 74\n= 6660 (result may vary slightly depending on the calculator used)\n\nStep ... | longmult | Step 1: Break down the multiplication into smaller, more manageable problems
94 x 74 = (90 + 4) x 74
Step 2: Apply the distributive property to the multiplication
= 90 x 74 + 4 x 74
Step 3: Multiply 90 by 74
= 6660 (result may vary slightly depending on the calculator used)
Step 4: Multiply 4 by 74
= 300 (result may... | 0 | 0 | 6,960 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
94 x 74
Thi... | The final answer is found in the repeated conclusion of the model's output, where it states, 'So, the solution to the long multiplication equation 94 x 74 is \boxed{6956}.' This indicates that the model has confirmed the answer multiple times throughout the explanation. | gpt-4o-mini | 0 | false | The language model's answer of 6,960 is incorrect because it does not accurately represent the product of 94 and 74. The correct multiplication of 94 by 74 is 6,956, which is confirmed by performing the multiplication step by step. Therefore, the final answer provided by the language model is not correct. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"6,960",
"6,960",
"6956",
"6956",
"6956"
],
[
"6956"
],
[
"6956"
],
[
"6956"
],
[
""
],
[
"6956"
]
] | [
[
false,
false,
true,
true,
true
],
[
true
],
[
true
],
[
true
],
[
false
],
[
true
]
] | [
[
"The language model's answer of 6,960 is incorrect because it does not accurately represent the product of 94 and 74. The correct multiplication of 94 by 74 is 6,956, which is confirmed by performing the multiplication step by step. Therefore, the final answer provided by the language model is not correct.",
... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"Step 1: Break down the multiplication into smaller, more manageable problems\n94 x 74 = (90 + 4) x 74\n\nStep 2: Apply the distributive property to the multiplication\n= 90 x 74 + 4 x 74\n\nStep 3: Multiply 90 by 74\n= 6660 (result may vary slightly depending on the calculator used)\n\nStep 4: Multiply 4 by 74\n= ... | [
"6956",
"6956",
"6956",
"6956",
"",
"6956"
] | [
true,
true,
true,
true,
false,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 6956\nWas Correct: True\nTarget: 6956",
"role": "user"
},
{
"content": "Step 1: Break down the multiplication into smaller, more manageable problems\n94 x 74 = (90 + 4) x 74\n\nStep 2: Apply the distributive property to the mul... |
24 | {"question": "What is the solution to the long multiplication equation below?\n\n87 x 43\n\nThink step by step.", "solution": "3741", "model_responses": ["Let's solve the long multiplication equation 87 x 43 step by step.\n\n1. First, write down the multipliers in their expanded form and align them:\n \\[\n \... | 3741 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n87 x 43\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["3741"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["Step 1: Multiply 87 by the units digit of 43, which is 3.\n87 x 3 = 261\n\nStep 2: Multiply 87 by the tens digit of 43, which is 4, and remember to shift the result one place to the left because of the tens digit.\n87 x 4 = 348\nNow add the shifted result to Step 1: 261 + 348 = 609\n\nStep 3... | longmult | Step 1: Multiply 87 by the units digit of 43, which is 3.
87 x 3 = 261
Step 2: Multiply 87 by the tens digit of 43, which is 4, and remember to shift the result one place to the left because of the tens digit.
87 x 4 = 348
Now add the shifted result to Step 1: 261 + 348 = 609
Step 3: Add the results from Step 1 and S... | 24 | 0 | 870 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
87 x 43
Thi... | The final answer is determined from the repeated calculations in the model's output, where it consistently concludes that the product of 87 and 43 is 3741 after breaking down the multiplication into steps. | gpt-4o-mini | 0 | false | The language model's answer of 870 is incorrect because it does not represent the product of 87 and 43. The correct multiplication of 87 by 43 is 3741, which can be verified by performing the multiplication step by step: 87 x 3 = 261, 87 x 40 = 3480, and then adding these two results together (261 + 3480 = 3741). There... | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"870",
"3741",
"3741",
"4941",
"3741",
"3741"
],
[
"3741",
"3741",
"3741"
],
[
""
],
[
""
],
[
"3741"
],
[
"Ӿ"
]
] | [
[
false,
true,
true,
false,
true,
true
],
[
true,
true,
true
],
[
false
],
[
false
],
[
true
],
[
false
]
] | [
[
"The language model's answer of 870 is incorrect because it does not represent the product of 87 and 43. The correct multiplication of 87 by 43 is 3741, which can be verified by performing the multiplication step by step: 87 x 3 = 261, 87 x 40 = 3480, and then adding these two results together (261 + 3480 = 3... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"Step 1: Multiply 87 by the units digit of 43, which is 3.\n87 x 3 = 261\n\nStep 2: Multiply 87 by the tens digit of 43, which is 4, and remember to shift the result one place to the left because of the tens digit.\n87 x 4 = 348\nNow add the shifted result to Step 1: 261 + 348 = 609\n\nStep 3: Add the results from ... | [
"3741",
"3741",
"",
"",
"3741",
"Ӿ"
] | [
true,
true,
false,
false,
true,
false
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 3741\nWas Correct: True\nTarget: 3741",
"role": "user"
},
{
"content": "Step 1: Multiply 87 by the units digit of 43, which is 3.\n87 x 3 = 261\n\nStep 2: Multiply 87 by the tens digit of 43, which is 4, and remember to shift t... |
26 | {"question": "What is the solution to the long multiplication equation below?\n\n82 x 15\n\nThink step by step.", "solution": "1230", "model_responses": ["To solve the long multiplication equation \\(82 \\times 15\\), you can use the column multiplication method:\n\n 1. Break down the multiplication problem into small... | 1230 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n82 x 15\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["1230"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation 82 x 15, you can follow these steps:\n\n1. Break down the multiplication into two simpler multiplications:\n - First, multiply 82 by 5. This can be done by simply multiplying 82 by 5, resulting in 410.\n - Then, multiply 82 by 10 (since 15 is 10 ... | longmult | To solve the long multiplication equation 82 x 15, you can follow these steps:
1. Break down the multiplication into two simpler multiplications:
- First, multiply 82 by 5. This can be done by simply multiplying 82 by 5, resulting in 410.
- Then, multiply 82 by 10 (since 15 is 10 times 1.5). This can be done by ... | 26 | 0 | 1230 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
82 x 15
Thi... | The final answer is consistently stated as 1230 throughout the response, confirmed by multiple breakdowns of the multiplication process. | gpt-4o-mini | 0 | true | The language model's answer of 1230 is correct because the multiplication of 82 and 15 indeed equals 1230. The calculation can be verified by performing the multiplication step by step: 82 multiplied by 10 is 820, and 82 multiplied by 5 is 410. Adding these two results (820 + 410) gives 1230. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"1230",
"1230",
"1230",
"1230"
],
[
""
],
[
"1230"
],
[
""
],
[
"1230"
],
[
"1230",
"1230"
]
] | [
[
true,
true,
true,
true
],
[
false
],
[
true
],
[
false
],
[
true
],
[
true,
true
]
] | [
[
"The language model's answer of 1230 is correct because the multiplication of 82 and 15 indeed equals 1230. The calculation can be verified by performing the multiplication step by step: 82 multiplied by 10 is 820, and 82 multiplied by 5 is 410. Adding these two results (820 + 410) gives 1230.",
"The lang... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation 82 x 15, you can follow these steps:\n\n1. Break down the multiplication into two simpler multiplications:\n - First, multiply 82 by 5. This can be done by simply multiplying 82 by 5, resulting in 410.\n - Then, multiply 82 by 10 (since 15 is 10 times 1.5). This can be... | [
"1230",
"",
"1230",
"",
"1230",
"1230"
] | [
true,
false,
true,
false,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 1230\nWas Correct: True\nTarget: 1230",
"role": "user"
},
{
"content": "To solve the long multiplication equation 82 x 15, you can follow these steps:\n\n1. Break down the multiplication into two simpler multiplications:\n - ... |
56 | {"question": "What is the solution to the long multiplication equation below?\n\n15 x 42\n\nThink step by step.", "solution": "630", "model_responses": ["Step 1: \nFirst, let's write out the equation. \n15\nx 42\n\nTo multiply the single digits, we look at the bottom number and determine how many times 15 goes into t... | 630 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n15 x 42\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["630"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\(15 \\times 42\\), we will break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n15 \\times 42 = (10 + 5) \\times (40 + 2)\n\\]\n\n2. **Apply the distributive property:**\n \\[\n(10 + 5) \\times (40 + 2) = 10 \\times 40 + 1... | longmult | To solve the long multiplication equation \(15 \times 42\), we will break it down into simpler steps.
1. **Break down the numbers:**
\[
15 \times 42 = (10 + 5) \times (40 + 2)
\]
2. **Apply the distributive property:**
\[
(10 + 5) \times (40 + 2) = 10 \times 40 + 10 \times 2 + 5 \times 40 + 5 \times 2
\]
3. **... | 56 | 0 | 630 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
15 x 42
Thi... | The final answer is determined from the repeated conclusion of the calculations presented in the model's output, which consistently arrives at the value of 630 for the multiplication of 15 and 42. | gpt-4o-mini | 0 | true | The language model's answer of 630 is correct because the multiplication of 15 and 42 equals 630. The calculation can be verified by performing the multiplication step by step: 15 multiplied by 2 is 30, and 15 multiplied by 40 (which is 15 multiplied by 4 and then multiplied by 10) is 600. Adding these two results toge... | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"630",
"630",
"630",
"630",
"630"
],
[
"630"
],
[
""
],
[
"630",
"630"
],
[
"630"
],
[
"630"
]
] | [
[
true,
true,
true,
true,
true
],
[
true
],
[
false
],
[
true,
true
],
[
true
],
[
true
]
] | [
[
"The language model's answer of 630 is correct because the multiplication of 15 and 42 equals 630. The calculation can be verified by performing the multiplication step by step: 15 multiplied by 2 is 30, and 15 multiplied by 40 (which is 15 multiplied by 4 and then multiplied by 10) is 600. Adding these two r... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\(15 \\times 42\\), we will break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n15 \\times 42 = (10 + 5) \\times (40 + 2)\n\\]\n\n2. **Apply the distributive property:**\n \\[\n(10 + 5) \\times (40 + 2) = 10 \\times 40 + 10 \\times 2 + 5 \\times... | [
"630",
"630",
"",
"630",
"630",
"630"
] | [
true,
true,
false,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 630\nWas Correct: True\nTarget: 630",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\(15 \\times 42\\), we will break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n15 \\time... |
58 | {"question": "What is the solution to the long multiplication equation below?\n\n94 x 25\n\nThink step by step.", "solution": "2350", "model_responses": ["To solve the long multiplication problem \\(94 \\times 25\\), you can follow these steps:\n\n### Step 1: Break it into smaller parts\nIt can be written as \\( 94 \\t... | 2350 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n94 x 25\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["2350"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\(94 \\times 25\\), we can break it down into simpler steps.\n\n1. **Break down the multiplication:**\n \\[\n94 \\times 25 = 94 \\times (20 + 5)\n\\]\n\n2. **Apply the distributive property:**\n \\[\n94 \\times (20 + 5) = 94 \\times 20 + 94 \\ti... | longmult | To solve the long multiplication equation \(94 \times 25\), we can break it down into simpler steps.
1. **Break down the multiplication:**
\[
94 \times 25 = 94 \times (20 + 5)
\]
2. **Apply the distributive property:**
\[
94 \times (20 + 5) = 94 \times 20 + 94 \times 5
\]
3. **Multiply 94 by 20:**
\[
94 \ti... | 58 | 0 | 2350 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
94 x 25
Thi... | The final answer is determined from the repeated calculations in the model's output, where it consistently concludes that the product of 94 and 25 is 2350, despite some confusion in the latter part of the response. | gpt-4o-mini | 0 | true | The language model's answer of 2350 matches the correct answer provided. The multiplication of 94 by 25 indeed results in 2350, confirming that the language model's response is accurate. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"2350",
"2350",
"2350",
"325"
],
[
"2350",
"1880",
"1880"
],
[
"2350"
],
[
""
],
[
"2350",
"2350"
],
[
"2350"
]
] | [
[
true,
true,
true,
false
],
[
true,
false,
false
],
[
true
],
[
false
],
[
true,
true
],
[
true
]
] | [
[
"The language model's answer of 2350 matches the correct answer provided. The multiplication of 94 by 25 indeed results in 2350, confirming that the language model's response is accurate.",
"The language model's answer of 2350 matches the correct answer provided. The multiplication of 94 by 25 is calculat... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\(94 \\times 25\\), we can break it down into simpler steps.\n\n1. **Break down the multiplication:**\n \\[\n94 \\times 25 = 94 \\times (20 + 5)\n\\]\n\n2. **Apply the distributive property:**\n \\[\n94 \\times (20 + 5) = 94 \\times 20 + 94 \\times 5\n\\]\n\n3. **Mult... | [
"325",
"1880",
"2350",
"",
"2350",
"2350"
] | [
false,
false,
true,
false,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 325\nWas Correct: False\nTarget: 2350",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\(94 \\times 25\\), we can break it down into simpler steps.\n\n1. **Break down the multiplication:**\n \\[\n9... |
68 | {"question": "What is the solution to the long multiplication equation below?\n\n22 x 85\n\nThink step by step.", "solution": "1870", "model_responses": ["To solve the long multiplication problem \\(22 \\times 85\\), we will use the standard method for multi-digit multiplication. Let's break it down step by step:\n\n1.... | 1870 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n22 x 85\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["1870"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\( 22 \\times 85 \\), follow these steps:\n\n1. Break down the multiplication into smaller, more manageable steps:\n \\[\n 22 \\times 85 = 22 \\times (80 + 5)\n \\]\n\n2. Apply the distributive property of multiplication over addition:\n \\[\... | longmult | To solve the long multiplication equation \( 22 \times 85 \), follow these steps:
1. Break down the multiplication into smaller, more manageable steps:
\[
22 \times 85 = 22 \times (80 + 5)
\]
2. Apply the distributive property of multiplication over addition:
\[
22 \times (80 + 5) = 22 \times 80 + 22 \ti... | 68 | 0 | 1870 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
22 x 85
Thi... | The final answer is found in the repeated conclusion of the model's output, where it states that the solution to the long multiplication equation 22 x 85 is boxed as 1870. | gpt-4o-mini | 0 | true | The language model's answer of 1870 matches the correct answer provided. The multiplication of 22 and 85 can be calculated as follows: 22 x 85 = 1870. Therefore, the language model's answer is correct. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"1870",
"1870",
"1870",
"1870",
"1870"
],
[
"1870"
],
[
"1870"
],
[
"1870"
],
[
"1870",
"1870"
],
[
""
]
] | [
[
true,
true,
true,
true,
true
],
[
true
],
[
true
],
[
true
],
[
true,
true
],
[
false
]
] | [
[
"The language model's answer of 1870 matches the correct answer provided. The multiplication of 22 and 85 can be calculated as follows: 22 x 85 = 1870. Therefore, the language model's answer is correct.",
"The language model's answer of 1870 matches the correct answer provided. The multiplication of 22 an... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\( 22 \\times 85 \\), follow these steps:\n\n1. Break down the multiplication into smaller, more manageable steps:\n \\[\n 22 \\times 85 = 22 \\times (80 + 5)\n \\]\n\n2. Apply the distributive property of multiplication over addition:\n \\[\n 22 \\times (80 + 5) ... | [
"1870",
"1870",
"1870",
"1870",
"1870",
""
] | [
true,
true,
true,
true,
true,
false
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 1870\nWas Correct: True\nTarget: 1870",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\( 22 \\times 85 \\), follow these steps:\n\n1. Break down the multiplication into smaller, more manageable step... |
72 | {"question": "What is the solution to the long multiplication equation below?\n\n37 x 19\n\nThink step by step.", "solution": "703", "model_responses": ["1. **Multiply the units digit of the multiplicand by 19:** \n - The units digit of the multiplicand \\(37\\) is \\(7\\).\n - \\(7 \\times 19 = 7 \\times (10 + 9)... | 703 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n37 x 19\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["703"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["Step 1: Break down the multiplication into smaller, more manageable problems\n37 x 19 = (30 + 7) x 19\n\nStep 2: Apply the distributive property to the multiplication\n= 30 x 19 + 7 x 19\n\nStep 3: Multiply 30 by 19\n= 570\n\nStep 4: Multiply 7 by 19\n= 133\n\nStep 5: Add the results of the ... | longmult | Step 1: Break down the multiplication into smaller, more manageable problems
37 x 19 = (30 + 7) x 19
Step 2: Apply the distributive property to the multiplication
= 30 x 19 + 7 x 19
Step 3: Multiply 30 by 19
= 570
Step 4: Multiply 7 by 19
= 133
Step 5: Add the results of the multiplication
= 570 + 133 = 703
Theref... | 72 | 0 | 703 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
37 x 19
Thi... | The final answer is determined from the repeated conclusion of the calculations presented in the model's output, which consistently arrives at the result of 703 for the multiplication of 37 and 19. | gpt-4o-mini | 0 | true | The language model's answer of 703 is correct because the multiplication of 37 and 19 indeed equals 703. The calculation can be verified by performing the multiplication step by step: 37 multiplied by 19 can be broken down as (30 + 7) multiplied by (10 + 9), which results in 370 + 333 = 703. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"703",
"703",
"703",
"703"
],
[
"703"
],
[
""
],
[
"703"
],
[
"703"
],
[
"703"
]
] | [
[
true,
true,
true,
true
],
[
true
],
[
false
],
[
true
],
[
true
],
[
true
]
] | [
[
"The language model's answer of 703 is correct because the multiplication of 37 and 19 indeed equals 703. The calculation can be verified by performing the multiplication step by step: 37 multiplied by 19 can be broken down as (30 + 7) multiplied by (10 + 9), which results in 370 + 333 = 703.",
"The langu... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"Step 1: Break down the multiplication into smaller, more manageable problems\n37 x 19 = (30 + 7) x 19\n\nStep 2: Apply the distributive property to the multiplication\n= 30 x 19 + 7 x 19\n\nStep 3: Multiply 30 by 19\n= 570\n\nStep 4: Multiply 7 by 19\n= 133\n\nStep 5: Add the results of the multiplication\n= 570 +... | [
"703",
"703",
"",
"703",
"703",
"703"
] | [
true,
true,
false,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 703\nWas Correct: True\nTarget: 703",
"role": "user"
},
{
"content": "Step 1: Break down the multiplication into smaller, more manageable problems\n37 x 19 = (30 + 7) x 19\n\nStep 2: Apply the distributive property to the multi... |
74 | {"question": "What is the solution to the long multiplication equation below?\n\n58 x 95\n\nThink step by step.", "solution": "5510", "model_responses": ["To solve the long multiplication problem \\( 58 \\times 95 \\), we'll systematically break it down into several steps. This method helps us calculate each part of th... | 5510 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n58 x 95\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["5510"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\( 58 \\times 95 \\), we'll break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n95 = 90 + 5\n\\]\n\n2. **Write out the multiplication as a series of multiplications:**\n \\[\n58 \\times 95 = 58 \\times (90 + 5)\n\\]\n\\[\n... | longmult | To solve the long multiplication equation \( 58 \times 95 \), we'll break it down into simpler steps.
1. **Break down the numbers:**
\[
95 = 90 + 5
\]
2. **Write out the multiplication as a series of multiplications:**
\[
58 \times 95 = 58 \times (90 + 5)
\]
\[
= 58 \times 90 + 58 \times 5
\]
3. **Multiply 58 ... | 74 | 0 | 5510 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
58 x 95
Thi... | The final answer is consistently stated as 5510 throughout the response, confirmed by multiple methods of calculation. | gpt-4o-mini | 0 | true | The language model's answer of 5510 matches the correct answer provided. The multiplication of 58 and 95 is indeed 5510, confirming that the language model's response is accurate. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"5510",
"5510",
"5510",
"5510"
],
[
""
],
[
"5510",
"5510",
"5510"
],
[
"5510"
],
[
"5510"
],
[
"5510",
"5510"
]
] | [
[
true,
true,
true,
true
],
[
false
],
[
true,
true,
true
],
[
true
],
[
true
],
[
true,
true
]
] | [
[
"The language model's answer of 5510 matches the correct answer provided. The multiplication of 58 and 95 is indeed 5510, confirming that the language model's response is accurate.",
"The language model's answer of 5510 matches the correct answer provided. The multiplication of 58 and 95 can be calculated... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\( 58 \\times 95 \\), we'll break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n95 = 90 + 5\n\\]\n\n2. **Write out the multiplication as a series of multiplications:**\n \\[\n58 \\times 95 = 58 \\times (90 + 5)\n\\]\n\\[\n= 58 \\times 90 + 58 \\... | [
"5510",
"",
"5510",
"5510",
"5510",
"5510"
] | [
true,
false,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 5510\nWas Correct: True\nTarget: 5510",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\( 58 \\times 95 \\), we'll break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n95 = 90... |
76 | {"question": "What is the solution to the long multiplication equation below?\n\n10 x 37\n\nThink step by step.", "solution": "370", "model_responses": ["To solve the long multiplication problem \\(10 \\times 37\\):\n\n1. First, treat the 1 as a 1 in stand-alone format for the multiplication process, so the equation be... | 370 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n10 x 37\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["370"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\( 10 \\times 37 \\), let's break it down step by step:\n\n1. **Break down the numbers:**\n - We have \\( 10 \\times 37 \\).\n\n2. **Separate the numbers:**\n - \\( 10 \\) can be seen as \\( 1 \\times 10 \\).\n - \\( 37 \\) can be seen as \\( ... | longmult | To solve the long multiplication equation \( 10 \times 37 \), let's break it down step by step:
1. **Break down the numbers:**
- We have \( 10 \times 37 \).
2. **Separate the numbers:**
- \( 10 \) can be seen as \( 1 \times 10 \).
- \( 37 \) can be seen as \( 30 + 7 \).
3. **Multiply each part:**
- \( 10... | 76 | 0 | 370 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
10 x 37
Thi... | The final answer is determined from the repeated conclusion in the model's output that the solution to the multiplication of 10 and 37 is 370, which is consistently stated and boxed in the response. | gpt-4o-mini | 0 | true | The language model's answer of 370 is correct because the multiplication of 10 and 37 is indeed 370. The calculation can be verified by performing the multiplication: 10 multiplied by 37 equals 370. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"370",
"370",
"370",
"370"
],
[
"370"
],
[
"370",
"370"
],
[
"370"
],
[
"370"
],
[
""
]
] | [
[
true,
true,
true,
true
],
[
true
],
[
true,
true
],
[
true
],
[
true
],
[
false
]
] | [
[
"The language model's answer of 370 is correct because the multiplication of 10 and 37 is indeed 370. The calculation can be verified by performing the multiplication: 10 multiplied by 37 equals 370.",
"The language model's answer of 370 is correct because the multiplication of 10 and 37 is indeed 370. Th... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\( 10 \\times 37 \\), let's break it down step by step:\n\n1. **Break down the numbers:**\n - We have \\( 10 \\times 37 \\).\n\n2. **Separate the numbers:**\n - \\( 10 \\) can be seen as \\( 1 \\times 10 \\).\n - \\( 37 \\) can be seen as \\( 30 + 7 \\).\n\n3. **Mul... | [
"370",
"370",
"370",
"370",
"370",
""
] | [
true,
true,
true,
true,
true,
false
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 370\nWas Correct: True\nTarget: 370",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\( 10 \\times 37 \\), let's break it down step by step:\n\n1. **Break down the numbers:**\n - We have \\( 10 \\t... |
83 | {"question": "What is the solution to the long multiplication equation below?\n\n17 x 46\n\nThink step by step.", "solution": "782", "model_responses": ["To solve the multiplication of 17 by 46 using long multiplication, follow these steps:\n\n1. **Multiply 46 by 7**:\n - Write it as 17 x 7 x 4000 + 17 x 7 x 600.\n ... | 782 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n17 x 46\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["782"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\( 17 \\times 46 \\), we'll break it down into simpler steps.\n\n1. **Break down the numbers**: We can express 46 as the sum of 40 and 6.\n\n2. **Write out the multiplication as a fraction**:\n \\[\n 17 \\times 46 = 17 \\times \\left(40 + 6\\rig... | longmult | To solve the long multiplication equation \( 17 \times 46 \), we'll break it down into simpler steps.
1. **Break down the numbers**: We can express 46 as the sum of 40 and 6.
2. **Write out the multiplication as a fraction**:
\[
17 \times 46 = 17 \times \left(40 + 6\right)
\]
This can be written as:
\[... | 83 | 0 | 782 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
17 x 46
Thi... | The final answer is determined from the repeated conclusion in the model's output that the solution to the multiplication of 17 and 46 is 782, consistently stated at the end of the explanation. | gpt-4o-mini | 0 | true | The language model's answer of 782 is correct because the multiplication of 17 and 46 indeed equals 782. The calculation can be verified by performing the multiplication step by step: 17 multiplied by 6 gives 102, and 17 multiplied by 4 (which represents 40) gives 680. Adding these two results (102 + 680) gives 782. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"782",
"782",
"782",
"782"
],
[
""
],
[
"782"
],
[
"782"
],
[
"782"
],
[
"782"
]
] | [
[
true,
true,
true,
true
],
[
false
],
[
true
],
[
true
],
[
true
],
[
true
]
] | [
[
"The language model's answer of 782 is correct because the multiplication of 17 and 46 indeed equals 782. The calculation can be verified by performing the multiplication step by step: 17 multiplied by 6 gives 102, and 17 multiplied by 4 (which represents 40) gives 680. Adding these two results (102 + 680) gi... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\( 17 \\times 46 \\), we'll break it down into simpler steps.\n\n1. **Break down the numbers**: We can express 46 as the sum of 40 and 6.\n\n2. **Write out the multiplication as a fraction**:\n \\[\n 17 \\times 46 = 17 \\times \\left(40 + 6\\right)\n \\]\n This ca... | [
"782",
"",
"782",
"782",
"782",
"782"
] | [
true,
false,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 782\nWas Correct: True\nTarget: 782",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\( 17 \\times 46 \\), we'll break it down into simpler steps.\n\n1. **Break down the numbers**: We can express 46 ... |
141 | {"question": "What is the solution to the long multiplication equation below?\n\n37 x 60\n\nThink step by step.", "solution": "2220", "model_responses": ["To solve the long multiplication problem \\(37 \\times 60\\), follow these steps:\n\n1. Write the numbers vertically:\n\n```\n 37\n\u00d7 60\n```\n\n2. Break down t... | 2220 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n37 x 60\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["2220"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\(37 \\times 60\\), we can break it down into simpler steps.\n\n1. **Break down the multiplication:**\n \\[\n37 \\times 60 = 37 \\times (6 \\times 10)\n\\]\nThis is because \\(60\\) can be written as \\(6 \\times 10\\).\n\n2. **Use the distributiv... | longmult | To solve the long multiplication equation \(37 \times 60\), we can break it down into simpler steps.
1. **Break down the multiplication:**
\[
37 \times 60 = 37 \times (6 \times 10)
\]
This is because \(60\) can be written as \(6 \times 10\).
2. **Use the distributive property:**
\[
37 \times (6 \times 10) = (37... | 141 | 0 | 2220 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
37 x 60
Thi... | The final answer is consistently stated as 2220 throughout the response, specifically highlighted in the boxed format, indicating it is the solution to the multiplication problem. | gpt-4o-mini | 0 | true | The language model's answer of 2220 is correct because the multiplication of 37 and 60 equals 2220. This can be verified by performing the multiplication: 37 x 60 = 2220. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"2220",
"2220",
"2220",
"2220"
],
[
"2220"
],
[
"2220"
],
[
""
],
[
"2220"
],
[
"2220"
]
] | [
[
true,
true,
true,
true
],
[
true
],
[
true
],
[
false
],
[
true
],
[
true
]
] | [
[
"The language model's answer of 2220 is correct because the multiplication of 37 and 60 equals 2220. This can be verified by performing the multiplication: 37 x 60 = 2220.",
"The language model's answer of 2220 is correct because when you multiply 37 by 60, the calculation is as follows: 37 x 60 = 2220. T... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\(37 \\times 60\\), we can break it down into simpler steps.\n\n1. **Break down the multiplication:**\n \\[\n37 \\times 60 = 37 \\times (6 \\times 10)\n\\]\nThis is because \\(60\\) can be written as \\(6 \\times 10\\).\n\n2. **Use the distributive property:**\n \\[\n... | [
"2220",
"2220",
"2220",
"",
"2220",
"2220"
] | [
true,
true,
true,
false,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 2220\nWas Correct: True\nTarget: 2220",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\(37 \\times 60\\), we can break it down into simpler steps.\n\n1. **Break down the multiplication:**\n \\[\n3... |
211 | {"question": "What is the solution to the long multiplication equation below?\n\n57 x 24\n\nThink step by step.", "solution": "1368", "model_responses": ["To solve the long multiplication equation \\( 57 \\times 24 \\), we'll multiply each digit of 57 by the entire number 24, and then adjust for any carryovers.\n\nHere... | 1368 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n57 x 24\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["1368"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\( 57 \\times 24 \\), we will break it down into simpler steps.\n\n1. **Break down the numbers into tens and ones:**\n \\[\n57 = 50 + 7\n\\]\n\\[\n24 = 20 + 4\n\\]\n\n2. **Use the distributive property to multiply:**\n \\[\n(50 + 7) \\times (20 ... | longmult | To solve the long multiplication equation \( 57 \times 24 \), we will break it down into simpler steps.
1. **Break down the numbers into tens and ones:**
\[
57 = 50 + 7
\]
\[
24 = 20 + 4
\]
2. **Use the distributive property to multiply:**
\[
(50 + 7) \times (20 + 4)
\]
\[
= 50 \times 20 + 50 \times 4 + 7 \time... | 211 | 0 | 1368 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
57 x 24
Thi... | The final answer is found in the repeated conclusion of the model's output, which states that the solution to the long multiplication equation 57 x 24 is boxed as 1368. | gpt-4o-mini | 0 | true | The language model's answer of 1368 is correct because it accurately represents the product of 57 and 24. The multiplication can be verified by performing the calculation step by step: 57 multiplied by 24 equals 1368. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"1368",
"1368",
"1368",
"1368"
],
[
""
],
[
"1368",
"1368",
"1368"
],
[
"1368"
],
[
"1368",
"1368"
],
[
"1368"
]
] | [
[
true,
true,
true,
true
],
[
false
],
[
true,
true,
true
],
[
true
],
[
true,
true
],
[
true
]
] | [
[
"The language model's answer of 1368 is correct because it accurately represents the product of 57 and 24. The multiplication can be verified by performing the calculation step by step: 57 multiplied by 24 equals 1368.",
"The language model's answer of 1368 matches the correct answer provided. The multipl... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\( 57 \\times 24 \\), we will break it down into simpler steps.\n\n1. **Break down the numbers into tens and ones:**\n \\[\n57 = 50 + 7\n\\]\n\\[\n24 = 20 + 4\n\\]\n\n2. **Use the distributive property to multiply:**\n \\[\n(50 + 7) \\times (20 + 4)\n\\]\n\\[\n= 50 \\... | [
"1368",
"",
"1368",
"1368",
"1368",
"1368"
] | [
true,
false,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 1368\nWas Correct: True\nTarget: 1368",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\( 57 \\times 24 \\), we will break it down into simpler steps.\n\n1. **Break down the numbers into tens and one... |
226 | {"question": "What is the solution to the long multiplication equation below?\n\n53 x 72\n\nThink step by step.", "solution": "3816", "model_responses": ["To solve the long multiplication equation \\( 53 \\times 72 \\), we follow the standard method of long multiplication. Let's break it down step by step:\n\n### Step ... | 3816 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n53 x 72\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["3816"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["Step 1: Break down the multiplication into smaller, more manageable problems\n53 x 72 = (53 x 70) + (53 x 2)\n\nStep 2: Calculate 53 x 70\n53 x 70 = 3710 (because 53 x 7 = 371)\n\nStep 3: Calculate 53 x 2\n53 x 2 = 106 (because 53 x 2 = 106)\n\nStep 4: Add the results of step 2 and step 3\n3... | longmult | Step 1: Break down the multiplication into smaller, more manageable problems
53 x 72 = (53 x 70) + (53 x 2)
Step 2: Calculate 53 x 70
53 x 70 = 3710 (because 53 x 7 = 371)
Step 3: Calculate 53 x 2
53 x 2 = 106 (because 53 x 2 = 106)
Step 4: Add the results of step 2 and step 3
3710 + 106 = 3816
Step 5: Verify the s... | 226 | 0 | 3816 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
53 x 72
Thi... | The final answer is found in the last part of the model's output where it states, 'the solution to the long multiplication equation 53 x 72 is 3816.' This confirms that the answer to the multiplication problem is 3816. | gpt-4o-mini | 0 | true | The language model's answer of 3816 matches the correct answer provided. Therefore, the answer is correct. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"3816",
"3816",
"3816",
"3816",
"3816"
],
[
""
],
[
"3816",
"3816"
],
[
"3816"
],
[
"3816",
"3816"
],
[
"3816"
]
] | [
[
true,
true,
true,
true,
true
],
[
false
],
[
true,
true
],
[
true
],
[
true,
true
],
[
true
]
] | [
[
"The language model's answer of 3816 matches the correct answer provided. Therefore, the answer is correct.",
"The language model's answer of 3816 matches the correct answer provided. The multiplication of 53 and 72 can be calculated as follows: 53 x 72 = 3816. Therefore, the language model's answer is co... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"Step 1: Break down the multiplication into smaller, more manageable problems\n53 x 72 = (53 x 70) + (53 x 2)\n\nStep 2: Calculate 53 x 70\n53 x 70 = 3710 (because 53 x 7 = 371)\n\nStep 3: Calculate 53 x 2\n53 x 2 = 106 (because 53 x 2 = 106)\n\nStep 4: Add the results of step 2 and step 3\n3710 + 106 = 3816\n\nSte... | [
"3816",
"",
"3816",
"3816",
"3816",
"3816"
] | [
true,
false,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 3816\nWas Correct: True\nTarget: 3816",
"role": "user"
},
{
"content": "Step 1: Break down the multiplication into smaller, more manageable problems\n53 x 72 = (53 x 70) + (53 x 2)\n\nStep 2: Calculate 53 x 70\n53 x 70 = 3710 (... |
303 | {"question": "What is the solution to the long multiplication equation below?\n\n53 x 65\n\nThink step by step.", "solution": "3445", "model_responses": ["To solve the long multiplication problem \\( 53 \\times 65 \\), let's break it down step by step.\n\n1. **First, let's estimate the product:**\n \\[\n \\begin{ar... | 3445 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n53 x 65\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["3445"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\( 53 \\times 65 \\), we will break it down into simpler steps and multiply each digit of 65 by each digit of 53, then add the results.\n\nStep 1: Break down 65 into 60 and 5.\n\\[ 53 \\times 65 = 53 \\times (60 + 5) \\]\n\nStep 2: Apply the distrib... | longmult | To solve the long multiplication equation \( 53 \times 65 \), we will break it down into simpler steps and multiply each digit of 65 by each digit of 53, then add the results.
Step 1: Break down 65 into 60 and 5.
\[ 53 \times 65 = 53 \times (60 + 5) \]
Step 2: Apply the distributive property.
\[ 53 \times 60 + 53 \ti... | 303 | 0 | 3445 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
53 x 65
Thi... | The final answer is found in the repeated conclusion of the model's output, which states that the solution to the long multiplication equation 53 x 65 is 3445, consistently boxed as the answer. | gpt-4o-mini | 0 | true | The language model's answer of 3445 matches the correct answer provided. Therefore, the answer is correct. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"3445",
"3445",
"3445",
"3445"
],
[
""
],
[
"3445",
"3445"
],
[
"3445"
],
[
"3445"
],
[
"3445"
]
] | [
[
true,
true,
true,
true
],
[
false
],
[
true,
true
],
[
true
],
[
true
],
[
true
]
] | [
[
"The language model's answer of 3445 matches the correct answer provided. Therefore, the answer is correct.",
"The language model's answer of 3445 matches the correct answer provided. Therefore, the answer is correct.",
"The language model's answer of 3445 matches the correct answer provided. Therefor... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\( 53 \\times 65 \\), we will break it down into simpler steps and multiply each digit of 65 by each digit of 53, then add the results.\n\nStep 1: Break down 65 into 60 and 5.\n\\[ 53 \\times 65 = 53 \\times (60 + 5) \\]\n\nStep 2: Apply the distributive property.\n\\[ 53... | [
"3445",
"",
"3445",
"3445",
"3445",
"3445"
] | [
true,
false,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 3445\nWas Correct: True\nTarget: 3445",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\( 53 \\times 65 \\), we will break it down into simpler steps and multiply each digit of 65 by each digit of 53... |
321 | {"question": "What is the solution to the long multiplication equation below?\n\n71 x 81\n\nThink step by step.", "solution": "5751", "model_responses": ["To solve the long multiplication equation 71 x 81, we break the multiplication into smaller steps, take the unknown multiplicand x factor, and develop.\n\nFirst step... | 5751 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n71 x 81\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["5751"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\( 71 \\times 81 \\), we will break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n71 = 70 + 1\n\\]\n\\[\n81 = 80 + 1\n\\]\n\n2. **Rewrite the multiplication as:**\n \\[\n(70 + 1) \\times (80 + 1)\n\\]\n\n3. **Use the distr... | longmult | To solve the long multiplication equation \( 71 \times 81 \), we will break it down into simpler steps.
1. **Break down the numbers:**
\[
71 = 70 + 1
\]
\[
81 = 80 + 1
\]
2. **Rewrite the multiplication as:**
\[
(70 + 1) \times (80 + 1)
\]
3. **Use the distributive property (also known as the FOIL method in bi... | 321 | 0 | 5751 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
71 x 81
Thi... | The final answer is determined from the repeated conclusion in the model's output, which states that the solution to the long multiplication equation 71 x 81 is boxed as 5750. | gpt-4o-mini | 0 | true | The language model's answer of 5751 matches the correct answer provided. The multiplication of 71 and 81 is indeed 5751, confirming that the language model's response is accurate. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"5751",
"5650",
"5650",
"5750",
"5750"
],
[
"5751"
],
[
"5750",
"5750"
],
[
"5751"
],
[
""
],
[
"5751"
]
] | [
[
true,
false,
false,
false,
false
],
[
true
],
[
false,
false
],
[
true
],
[
false
],
[
true
]
] | [
[
"The language model's answer of 5751 matches the correct answer provided. The multiplication of 71 and 81 is indeed 5751, confirming that the language model's response is accurate.",
"The correct multiplication of 71 and 81 is 5751. The language model's answer of 5650 is incorrect, as it does not match th... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\( 71 \\times 81 \\), we will break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n71 = 70 + 1\n\\]\n\\[\n81 = 80 + 1\n\\]\n\n2. **Rewrite the multiplication as:**\n \\[\n(70 + 1) \\times (80 + 1)\n\\]\n\n3. **Use the distributive property (also ... | [
"5750",
"5751",
"5750",
"5751",
"",
"5751"
] | [
false,
true,
false,
true,
false,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 5750\nWas Correct: False\nTarget: 5751",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\( 71 \\times 81 \\), we will break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n71 =... |
332 | {"question": "What is the solution to the long multiplication equation below?\n\n36 x 93\n\nThink step by step.", "solution": "3348", "model_responses": ["To solve the multiplication problem \\( 36 \\times 93 \\), we'll follow the standard long multiplication method:\n\n1. First, we multiply the units digit of the mult... | 3348 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n36 x 93\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["3348"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["Certainly! Let's solve the multiplication problem step by step.\n\n1. **Break down the multiplication:**\n \\[\n36 \\times 93\n\\]\n\n2. **Distribute the multiplication:**\n \\[\n36 \\times 90 + 36 \\times 3\n\\]\n\n3. **Calculate each part separately:**\n - First, calculate \\(36 \\ti... | longmult | Certainly! Let's solve the multiplication problem step by step.
1. **Break down the multiplication:**
\[
36 \times 93
\]
2. **Distribute the multiplication:**
\[
36 \times 90 + 36 \times 3
\]
3. **Calculate each part separately:**
- First, calculate \(36 \times 90\):
\[
36 \times 90 = 36 \times (9 \tim... | 332 | 0 | 3348 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
36 x 93
Thi... | The final answer is determined from the repeated conclusion in the model's output that the solution to the multiplication problem 36 x 93 is 3348, which is consistently stated at the end of the calculations. | gpt-4o-mini | 0 | true | The language model's answer of 3348 matches the correct answer provided. Therefore, the answer is correct. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"3348",
"3348",
"3348",
"3348"
],
[
"3348"
],
[
""
],
[
""
],
[
"3348",
"3348"
],
[
"3348",
"3348"
]
] | [
[
true,
true,
true,
true
],
[
true
],
[
false
],
[
false
],
[
true,
true
],
[
true,
true
]
] | [
[
"The language model's answer of 3348 matches the correct answer provided. Therefore, the answer is correct.",
"The language model's answer of 3348 matches the correct answer provided. Therefore, the answer is correct.",
"The language model's answer of 3348 matches the correct answer provided. Therefor... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"Certainly! Let's solve the multiplication problem step by step.\n\n1. **Break down the multiplication:**\n \\[\n36 \\times 93\n\\]\n\n2. **Distribute the multiplication:**\n \\[\n36 \\times 90 + 36 \\times 3\n\\]\n\n3. **Calculate each part separately:**\n - First, calculate \\(36 \\times 90\\):\n \\[\n3... | [
"3348",
"3348",
"",
"",
"3348",
"3348"
] | [
true,
true,
false,
false,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 3348\nWas Correct: True\nTarget: 3348",
"role": "user"
},
{
"content": "Certainly! Let's solve the multiplication problem step by step.\n\n1. **Break down the multiplication:**\n \\[\n36 \\times 93\n\\]\n\n2. **Distribute the... |
334 | {"question": "What is the solution to the long multiplication equation below?\n\n97 x 89\n\nThink step by step.", "solution": "8633", "model_responses": ["Sure, let's solve this step by step.\n\n1. **Set up multiplication**: Multiply 97 by each digit of 89, starting from the rightmost digit.\n\n ```\n 97\n \u00... | 8633 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n97 x 89\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["8633"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\( 97 \\times 89 \\), we'll break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n97 = 90 + 7\n\\]\n\\[\n89 = 80 + 9\n\\]\n\n2. **Set up the multiplication:**\n \\[\n(90 + 7) \\times (80 + 9)\n\\]\n\n3. **Use the distributiv... | longmult | To solve the long multiplication equation \( 97 \times 89 \), we'll break it down into simpler steps.
1. **Break down the numbers:**
\[
97 = 90 + 7
\]
\[
89 = 80 + 9
\]
2. **Set up the multiplication:**
\[
(90 + 7) \times (80 + 9)
\]
3. **Use the distributive property (also known as the FOIL method in binomial... | 334 | 0 | 8633 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
97 x 89
Thi... | The final answer is determined from the last part of the model's output where it states, 'Therefore, the solution to the long multiplication equation 97 x 89 is \( \boxed{8633} \).' This indicates that the answer to the multiplication problem is 8633. | gpt-4o-mini | 0 | true | The language model's answer of 8633 matches the correct answer provided. The multiplication of 97 and 89 indeed results in 8633, confirming that the language model's response is accurate. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"8633",
"979",
"9433",
"8633",
"8633"
],
[
"873"
],
[
"873"
],
[
""
],
[
"873",
"8633"
],
[
"8633"
]
] | [
[
true,
false,
false,
true,
true
],
[
false
],
[
false
],
[
false
],
[
false,
true
],
[
true
]
] | [
[
"The language model's answer of 8633 matches the correct answer provided. The multiplication of 97 and 89 indeed results in 8633, confirming that the language model's response is accurate.",
"The language model's answer of 979 is incorrect because it does not represent the product of 97 and 89. The correc... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\( 97 \\times 89 \\), we'll break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n97 = 90 + 7\n\\]\n\\[\n89 = 80 + 9\n\\]\n\n2. **Set up the multiplication:**\n \\[\n(90 + 7) \\times (80 + 9)\n\\]\n\n3. **Use the distributive property (also known ... | [
"8633",
"873",
"873",
"",
"8633",
"8633"
] | [
true,
false,
false,
false,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 8633\nWas Correct: True\nTarget: 8633",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\( 97 \\times 89 \\), we'll break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n97 = 90... |
337 | {"question": "What is the solution to the long multiplication equation below?\n\n69 x 47\n\nThink step by step.", "solution": "3243", "model_responses": ["To solve the long multiplication equation 69 x 47, follow these steps:\n\n1. Write the numbers vertically, lining up the ones place:\n```\n 69\n x 47\n```\n\n2... | 3243 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n69 x 47\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["3243"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["Step 1: Break down the multiplication into smaller, more manageable problems\n69 x 47 = (69 x 40) + (69 x 7)\n\nStep 2: Calculate 69 x 40\n69 x 40 = 2760 (because 69 x 4 = 276)\n\nStep 3: Calculate 69 x 7\n69 x 7 = 483 (because 69 x 7 = 483)\n\nStep 4: Add the results of step 2 and step 3\n2... | longmult | Step 1: Break down the multiplication into smaller, more manageable problems
69 x 47 = (69 x 40) + (69 x 7)
Step 2: Calculate 69 x 40
69 x 40 = 2760 (because 69 x 4 = 276)
Step 3: Calculate 69 x 7
69 x 7 = 483 (because 69 x 7 = 483)
Step 4: Add the results of step 2 and step 3
2760 + 483 = 3243
Step 5: Verify the s... | 337 | 0 | 3243 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
69 x 47
Thi... | The final answer is found in the concluding statement of the model's output, which clearly states that the solution to the multiplication equation 69 x 47 is 3243. | gpt-4o-mini | 0 | true | The language model's answer of 3243 matches the correct answer for the multiplication of 69 and 47. Therefore, the answer is correct. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"3243",
"3243",
"3243",
"3243"
],
[
"3243",
"3243",
"3243"
],
[
"3243"
],
[
""
],
[
"3173",
"3243"
],
[
"3243"
]
] | [
[
true,
true,
true,
true
],
[
true,
true,
true
],
[
true
],
[
false
],
[
false,
true
],
[
true
]
] | [
[
"The language model's answer of 3243 matches the correct answer for the multiplication of 69 and 47. Therefore, the answer is correct.",
"The language model's answer of 3243 matches the correct answer provided. The multiplication of 69 and 47 indeed results in 3243, confirming that the language model's re... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"Step 1: Break down the multiplication into smaller, more manageable problems\n69 x 47 = (69 x 40) + (69 x 7)\n\nStep 2: Calculate 69 x 40\n69 x 40 = 2760 (because 69 x 4 = 276)\n\nStep 3: Calculate 69 x 7\n69 x 7 = 483 (because 69 x 7 = 483)\n\nStep 4: Add the results of step 2 and step 3\n2760 + 483 = 3243\n\nSte... | [
"3243",
"3243",
"3243",
"",
"3243",
"3243"
] | [
true,
true,
true,
false,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 3243\nWas Correct: True\nTarget: 3243",
"role": "user"
},
{
"content": "Step 1: Break down the multiplication into smaller, more manageable problems\n69 x 47 = (69 x 40) + (69 x 7)\n\nStep 2: Calculate 69 x 40\n69 x 40 = 2760 (... |
340 | {"question": "What is the solution to the long multiplication equation below?\n\n49 x 49\n\nThink step by step.", "solution": "2401", "model_responses": ["To solve the multiplication problem 49 x 49, you can follow these steps:\n\n1. **Break down the problem:**\n Break 49 into two parts: 40 and 9.\n\n2. **Multiply ea... | 2401 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n49 x 49\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["2401"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication of 49 x 49, we can break it down into steps.\n\n1. Write out the numbers vertically:\n```\n 49\n x 49\n```\n\n2. Multiply 9 by 9:\n```\n 9\n x 49\n -----\n 63\n```\n\n3. Multiply 9 by 4, and remember to shift the result one place to the left:\n```\... | longmult | To solve the long multiplication of 49 x 49, we can break it down into steps.
1. Write out the numbers vertically:
```
49
x 49
```
2. Multiply 9 by 9:
```
9
x 49
-----
63
```
3. Multiply 9 by 4, and remember to shift the result one place to the left:
```
9
x 49
-----
63
36
```
4. Add t... | 340 | 0 | 2401 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
49 x 49
Thi... | The final answer is consistently stated as 2401 throughout the response, confirmed by multiple methods of calculation. | gpt-4o-mini | 0 | true | The language model's answer of 2401 is correct because 49 multiplied by 49 equals 2401. This can be verified by performing the multiplication step by step: 49 x 49 can be calculated as (50 - 1) x (50 - 1) = 50^2 - 2*50*1 + 1^2 = 2500 - 100 + 1 = 2401. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"2401",
"2401",
"2401",
"2401"
],
[
"2401",
"2401"
],
[
""
],
[
"2401",
"2401"
],
[
"2401",
"2401"
],
[
"2401",
"2401"
]
] | [
[
true,
true,
true,
true
],
[
true,
true
],
[
false
],
[
true,
true
],
[
true,
true
],
[
true,
true
]
] | [
[
"The language model's answer of 2401 is correct because 49 multiplied by 49 equals 2401. This can be verified by performing the multiplication step by step: 49 x 49 can be calculated as (50 - 1) x (50 - 1) = 50^2 - 2*50*1 + 1^2 = 2500 - 100 + 1 = 2401.",
"The language model's answer of 2401 is correct bec... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication of 49 x 49, we can break it down into steps.\n\n1. Write out the numbers vertically:\n```\n 49\n x 49\n```\n\n2. Multiply 9 by 9:\n```\n 9\n x 49\n -----\n 63\n```\n\n3. Multiply 9 by 4, and remember to shift the result one place to the left:\n```\n 9\n x 49\n -----... | [
"2401",
"2401",
"",
"2401",
"2401",
"2401"
] | [
true,
true,
false,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 2401\nWas Correct: True\nTarget: 2401",
"role": "user"
},
{
"content": "To solve the long multiplication of 49 x 49, we can break it down into steps.\n\n1. Write out the numbers vertically:\n```\n 49\n x 49\n```\n\n2. Mult... |
355 | {"question": "What is the solution to the long multiplication equation below?\n\n96 x 19\n\nThink step by step.", "solution": "1824", "model_responses": ["To solve the long multiplication problem \\( 96 \\times 19 \\), follow these steps:\n\n1. **Write down 96 and 19 as shown below:**\n ```\n 96\n x 19\n ```\n... | 1824 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n96 x 19\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["1824"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\( 96 \\times 19 \\), let's break it down into simpler steps.\n\n1. **Break down the numbers**: We can think of \\( 19 \\) as \\( 10 + 9 \\).\n\n2. **Apply the distributive property**: Multiply each digit of the first number by each digit of the sec... | longmult | To solve the long multiplication equation \( 96 \times 19 \), let's break it down into simpler steps.
1. **Break down the numbers**: We can think of \( 19 \) as \( 10 + 9 \).
2. **Apply the distributive property**: Multiply each digit of the first number by each digit of the second number.
\[
96 \times 19 = 96... | 355 | 0 | 1824 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
96 x 19
Thi... | The final answer is determined from the repeated calculations and the final boxed answer provided in the output, which states that the solution to the long multiplication equation 96 x 19 is 1764. | gpt-4o-mini | 0 | true | The language model's answer of 1824 matches the correct answer provided. The multiplication of 96 by 19 indeed results in 1824, confirming that the language model's response is accurate. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"1824",
"968",
"1764",
"2016",
"1764"
],
[
"1824"
],
[
"1764",
"1824",
"1824"
],
[
""
],
[
"1824"
],
[
"1824",
"1824"
]
] | [
[
true,
false,
false,
false,
false
],
[
true
],
[
false,
true,
true
],
[
false
],
[
true
],
[
true,
true
]
] | [
[
"The language model's answer of 1824 matches the correct answer provided. The multiplication of 96 by 19 indeed results in 1824, confirming that the language model's response is accurate.",
"The language model's answer of 968 is incorrect because it does not accurately represent the product of 96 and 19. ... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\( 96 \\times 19 \\), let's break it down into simpler steps.\n\n1. **Break down the numbers**: We can think of \\( 19 \\) as \\( 10 + 9 \\).\n\n2. **Apply the distributive property**: Multiply each digit of the first number by each digit of the second number.\n\n \\[\n... | [
"1764",
"1824",
"1824",
"",
"1824",
"1824"
] | [
false,
true,
true,
false,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 1764\nWas Correct: False\nTarget: 1824",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\( 96 \\times 19 \\), let's break it down into simpler steps.\n\n1. **Break down the numbers**: We can think of... |
378 | {"question": "What is the solution to the long multiplication equation below?\n\n99 x 18\n\nThink step by step.", "solution": "1782", "model_responses": ["To solve the long multiplication equation \\( 99 \\times 18 \\), let's break it down step by step.\n\n### Step-by-Step Solution:\n\n#### 1. Set Up the Multiplication... | 1782 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n99 x 18\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["1782"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\( 99 \\times 18 \\), follow these steps:\n\n1. Break down the multiplication into two simpler multiplications:\n \\[\n 99 \\times 18 = (99 \\times 20) - (99 \\times 2)\n \\]\n\n2. Perform the multiplications:\n \\[\n 99 \\times 20 = 1980\n ... | longmult | To solve the long multiplication equation \( 99 \times 18 \), follow these steps:
1. Break down the multiplication into two simpler multiplications:
\[
99 \times 18 = (99 \times 20) - (99 \times 2)
\]
2. Perform the multiplications:
\[
99 \times 20 = 1980
\]
\[
99 \times 2 = 198
\]
3. Subtract t... | 378 | 0 | 1782 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
99 x 18
Thi... | The final answer is consistently stated as 1782 throughout the response, confirmed by multiple calculations and breakdowns of the multiplication process. | gpt-4o-mini | 0 | true | The language model's answer of 1782 matches the correct answer provided. Therefore, the answer is correct. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"1782",
"1782",
"1782",
"1782"
],
[
"1782",
"1782"
],
[
"1782",
"1782"
],
[
""
],
[
"1782"
],
[
"1782"
]
] | [
[
true,
true,
true,
true
],
[
true,
true
],
[
true,
true
],
[
false
],
[
true
],
[
true
]
] | [
[
"The language model's answer of 1782 matches the correct answer provided. Therefore, the answer is correct.",
"The language model's answer of 1782 matches the correct answer provided. The multiplication of 99 by 18 can be calculated as follows: 99 x 18 = 1782. Therefore, the language model's answer is cor... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\( 99 \\times 18 \\), follow these steps:\n\n1. Break down the multiplication into two simpler multiplications:\n \\[\n 99 \\times 18 = (99 \\times 20) - (99 \\times 2)\n \\]\n\n2. Perform the multiplications:\n \\[\n 99 \\times 20 = 1980\n \\]\n \\[\n 99 \\time... | [
"1782",
"1782",
"1782",
"",
"1782",
"1782"
] | [
true,
true,
true,
false,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 1782\nWas Correct: True\nTarget: 1782",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\( 99 \\times 18 \\), follow these steps:\n\n1. Break down the multiplication into two simpler multiplications:\... |
393 | {"question": "What is the solution to the long multiplication equation below?\n\n78 x 92\n\nThink step by step.", "solution": "7176", "model_responses": ["To solve the long multiplication problem, 78 x 92, let's break it down step by step:\n\n### Step 1: Break down the multiplication into smaller parts\nWe can break th... | 7176 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n78 x 92\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["7176"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["Step 1: Break down the multiplication into smaller, more manageable problems\n78 x 92 = (78 x 90) + (78 x 2)\n\nStep 2: Calculate 78 x 90\n78 x 90 = 7200 (because 78 x 10 = 780, and 78 x 9 = 702, 780 + 702 = 1482)\n\nStep 3: Calculate 78 x 2\n78 x 2 = 156 (because 78 x 1 = 78, and 78 x 2 = 1... | longmult | Step 1: Break down the multiplication into smaller, more manageable problems
78 x 92 = (78 x 90) + (78 x 2)
Step 2: Calculate 78 x 90
78 x 90 = 7200 (because 78 x 10 = 780, and 78 x 9 = 702, 780 + 702 = 1482)
Step 3: Calculate 78 x 2
78 x 2 = 156 (because 78 x 1 = 78, and 78 x 2 = 156)
Step 4: Add the results of ste... | 393 | 0 | 1638 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
78 x 92
Thi... | The final answer is determined from the repeated conclusion in the model's output, which states that the solution to the long multiplication equation 78 x 92 is 7176. | gpt-4o-mini | 0 | false | The language model's answer of 1638 is incorrect because it does not accurately represent the product of 78 and 92. The correct multiplication of 78 by 92 is 7176, which can be verified by performing the multiplication step by step. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"1638",
"1638",
"7176",
"7176",
"7176"
],
[
""
],
[
"7176"
],
[
""
],
[
"7176"
],
[
"7176"
]
] | [
[
false,
false,
true,
true,
true
],
[
false
],
[
true
],
[
false
],
[
true
],
[
true
]
] | [
[
"The language model's answer of 1638 is incorrect because it does not accurately represent the product of 78 and 92. The correct multiplication of 78 by 92 is 7176, which can be verified by performing the multiplication step by step.",
"The language model's answer of 1638 is incorrect because it does not ... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"Step 1: Break down the multiplication into smaller, more manageable problems\n78 x 92 = (78 x 90) + (78 x 2)\n\nStep 2: Calculate 78 x 90\n78 x 90 = 7200 (because 78 x 10 = 780, and 78 x 9 = 702, 780 + 702 = 1482)\n\nStep 3: Calculate 78 x 2\n78 x 2 = 156 (because 78 x 1 = 78, and 78 x 2 = 156)\n\nStep 4: Add the ... | [
"7176",
"",
"7176",
"",
"7176",
"7176"
] | [
true,
false,
true,
false,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 7176\nWas Correct: True\nTarget: 7176",
"role": "user"
},
{
"content": "Step 1: Break down the multiplication into smaller, more manageable problems\n78 x 92 = (78 x 90) + (78 x 2)\n\nStep 2: Calculate 78 x 90\n78 x 90 = 7200 (... |
397 | {"question": "What is the solution to the long multiplication equation below?\n\n83 x 17\n\nThink step by step.", "solution": "1411", "model_responses": ["To solve the long multiplication problem \\(83 \\times 17\\):\n\n1. **Multiply 83 by 7 (the ones digit of 17):**\n \\[\n 83 \\times 7 = 581\n \\]\n Write 581... | 1411 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n83 x 17\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["1411"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["Step 1: Break down the multiplication into smaller, more manageable problems\n83 x 17 = (83 x 10) + (83 x 7)\n\nStep 2: Multiply 83 by 10\n83 x 10 = 830\n\nStep 3: Multiply 83 by 7\n83 x 7 = 581\n\nStep 4: Add the results of the multiplication\n830 + 581 = 1411\n\nStep 5: Verify the solution... | longmult | Step 1: Break down the multiplication into smaller, more manageable problems
83 x 17 = (83 x 10) + (83 x 7)
Step 2: Multiply 83 by 10
83 x 10 = 830
Step 3: Multiply 83 by 7
83 x 7 = 581
Step 4: Add the results of the multiplication
830 + 581 = 1411
Step 5: Verify the solution by doing the multiplication in the othe... | 397 | 0 | 1411 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
83 x 17
Thi... | The final answer is determined from the repeated conclusion in the model's output that the solution to the multiplication of 83 and 17 is 1411, which is consistently stated in the final sentences of the response. | gpt-4o-mini | 0 | true | The language model's answer of 1411 matches the correct answer for the multiplication of 83 and 17. Therefore, the answer is correct. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"1411",
"1411",
"1411",
"1411"
],
[
""
],
[
"1411"
],
[
"1411"
],
[
"1411"
],
[
"1411"
]
] | [
[
true,
true,
true,
true
],
[
false
],
[
true
],
[
true
],
[
true
],
[
true
]
] | [
[
"The language model's answer of 1411 matches the correct answer for the multiplication of 83 and 17. Therefore, the answer is correct.",
"The language model's answer of 1411 matches the correct answer for the multiplication of 83 and 17. Therefore, the answer is correct.",
"The language model's answer... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"Step 1: Break down the multiplication into smaller, more manageable problems\n83 x 17 = (83 x 10) + (83 x 7)\n\nStep 2: Multiply 83 by 10\n83 x 10 = 830\n\nStep 3: Multiply 83 by 7\n83 x 7 = 581\n\nStep 4: Add the results of the multiplication\n830 + 581 = 1411\n\nStep 5: Verify the solution by doing the multiplic... | [
"1411",
"",
"1411",
"1411",
"1411",
"1411"
] | [
true,
false,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 1411\nWas Correct: True\nTarget: 1411",
"role": "user"
},
{
"content": "Step 1: Break down the multiplication into smaller, more manageable problems\n83 x 17 = (83 x 10) + (83 x 7)\n\nStep 2: Multiply 83 by 10\n83 x 10 = 830\n\... |
2 | {"question": "What is the solution to the long multiplication equation below?\n\n829 x 577\n\nThink step by step.", "solution": "478333", "problem": "What is the solution to the long multiplication equation below?\n\n829 x 577\n\nThink step by step.", "answer": "478333"} | 478333 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n829 x 577\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": fal... | 0 | ["478303"] | samples_longmult_3dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\( 829 \\times 577 \\), we will break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n829 = 800 + 29\n\\]\n\\[\n577 = 500 + 77\n\\]\n\n2. **Write the multiplication as a series of smaller multiplications:**\n \\[\n829 \\time... | longmult | To solve the long multiplication equation \( 829 \times 577 \), we will break it down into simpler steps.
1. **Break down the numbers:**
\[
829 = 800 + 29
\]
\[
577 = 500 + 77
\]
2. **Write the multiplication as a series of smaller multiplications:**
\[
829 \times 577 = (800 + 29) \times (500 + 77)
\]
This can ... | 406 | 0 | 442863 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
829 x 577
T... | The final answer is determined from the last part of the model's output where it states the solution to the multiplication equation is boxed as \boxed{478223}. This indicates that 478223 is the final computed result for the multiplication of 829 and 577. | gpt-4o-mini | 0 | false | The language model's answer of 442863 is incorrect because it does not match the correct multiplication result of 829 x 577, which is 478333. The calculation can be verified by performing the multiplication step by step, confirming that the correct product is indeed 478333. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"442863",
"420792",
"62733",
"478733",
"52963",
"478233"
],
[
"47963",
"59303",
"59303"
],
[
""
],
[
"120903"
],
[
"59303"
],
[
"478303"
]
] | [
[
false,
false,
false,
false,
false,
false
],
[
false,
false,
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"The language model's answer of 442863 is incorrect because it does not match the correct multiplication result of 829 x 577, which is 478333. The calculation can be verified by performing the multiplication step by step, confirming that the correct product is indeed 478333.",
"The language model's answer... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\( 829 \\times 577 \\), we will break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n829 = 800 + 29\n\\]\n\\[\n577 = 500 + 77\n\\]\n\n2. **Write the multiplication as a series of smaller multiplications:**\n \\[\n829 \\times 577 = (800 + 29) \\ti... | [
"478233",
"59303",
"",
"120903",
"59303",
"478303"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 478233\nWas Correct: False\nTarget: 478333",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\( 829 \\times 577 \\), we will break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[... |
37 | {"question": "What is the solution to the long multiplication equation below?\n\n926 x 310\n\nThink step by step.", "solution": "287060", "problem": "What is the solution to the long multiplication equation below?\n\n926 x 310\n\nThink step by step.", "answer": "287060"} | 287060 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n926 x 310\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": fal... | 1 | ["287060"] | samples_longmult_3dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["Step 1: Break down the multiplication into smaller, more manageable problems\n926 x 310 = 926 x (300 + 10) = (926 x 300) + (926 x 10)\n\nStep 2: Multiply 926 by 300\n926 x 300 = 277800\n\nStep 3: Multiply 926 by 10\n926 x 10 = 9260\n\nStep 4: Add the results of steps 2 and 3\n277800 + 9260 =... | longmult | Step 1: Break down the multiplication into smaller, more manageable problems
926 x 310 = 926 x (300 + 10) = (926 x 300) + (926 x 10)
Step 2: Multiply 926 by 300
926 x 300 = 277800
Step 3: Multiply 926 by 10
926 x 10 = 9260
Step 4: Add the results of steps 2 and 3
277800 + 9260 = 287060
Step 5: Conclusion
The soluti... | 441 | 0 | 287060 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
926 x 310
T... | The final answer is determined from the conclusion of the step-by-step calculations provided in the model's output, specifically stating that the solution to the long multiplication equation 926 x 310 is 287060. | gpt-4o-mini | 0 | true | The language model's answer of 287060 matches the correct answer provided. Therefore, the answer is correct. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"287060",
"287060",
"287060",
"287060",
"287060"
],
[
"340060",
"287060"
],
[
"332060",
"287060"
],
[
""
],
[
"287060",
"287060",
"287060"
],
[
"287060",
"287060"
]
] | [
[
true,
true,
true,
true,
true
],
[
false,
true
],
[
false,
true
],
[
false
],
[
true,
true,
true
],
[
true,
true
]
] | [
[
"The language model's answer of 287060 matches the correct answer provided. Therefore, the answer is correct.",
"The language model's answer of 287060 matches the correct answer provided. Therefore, the answer is correct.",
"The language model's answer of 287060 matches the correct answer provided. Th... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"Step 1: Break down the multiplication into smaller, more manageable problems\n926 x 310 = 926 x (300 + 10) = (926 x 300) + (926 x 10)\n\nStep 2: Multiply 926 by 300\n926 x 300 = 277800\n\nStep 3: Multiply 926 by 10\n926 x 10 = 9260\n\nStep 4: Add the results of steps 2 and 3\n277800 + 9260 = 287060\n\nStep 5: Conc... | [
"287060",
"287060",
"287060",
"",
"287060",
"287060"
] | [
true,
true,
true,
false,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 287060\nWas Correct: True\nTarget: 287060",
"role": "user"
},
{
"content": "Step 1: Break down the multiplication into smaller, more manageable problems\n926 x 310 = 926 x (300 + 10) = (926 x 300) + (926 x 10)\n\nStep 2: Multip... |
42 | {"question": "What is the solution to the long multiplication equation below?\n\n472 x 293\n\nThink step by step.", "solution": "138296", "problem": "What is the solution to the long multiplication equation below?\n\n472 x 293\n\nThink step by step.", "answer": "138296"} | 138296 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n472 x 293\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": fal... | 1 | ["138296"] | samples_longmult_3dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\( 472 \\times 293 \\), we'll break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n293 = 200 + 90 + 3\n\\]\n\n2. **Set up the multiplication as a column multiplication:**\n \\[\n\\begin{array}{c@{}c@{}c}\n & 4 & 7 & 2 \\\\\... | longmult | To solve the long multiplication equation \( 472 \times 293 \), we'll break it down into simpler steps.
1. **Break down the numbers:**
\[
293 = 200 + 90 + 3
\]
2. **Set up the multiplication as a column multiplication:**
\[
\begin{array}{c@{}c@{}c}
& 4 & 7 & 2 \\
\times & & 2 & 9 & 3 \\
\end{array}
\]
3. **Mu... | 446 | 0 | 13336 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
472 x 293
T... | The final answer is found in the last part of the model's output where it states, 'So, the solution to the long multiplication equation 472 x 293 is \(\boxed{138296}\).' This indicates that the answer to the multiplication problem is 138296. | gpt-4o-mini | 0 | false | The language model's answer of 13336 is incorrect because it does not match the correct multiplication result of 472 x 293, which is 138296. The model likely made an error in the multiplication process or miscalculated the final result. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"13336",
"138296",
"138296",
"14357",
"12260",
"138296"
],
[
"23984",
"23984",
"14357",
"14357",
"138296"
],
[
""
],
[
"138296"
],
[
"138296"
],
[
"138296"
]
] | [
[
false,
true,
true,
false,
false,
true
],
[
false,
false,
false,
false,
true
],
[
false
],
[
true
],
[
true
],
[
true
]
] | [
[
"The language model's answer of 13336 is incorrect because it does not match the correct multiplication result of 472 x 293, which is 138296. The model likely made an error in the multiplication process or miscalculated the final result.",
"The language model's answer of 138296 matches the correct answer ... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\( 472 \\times 293 \\), we'll break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n293 = 200 + 90 + 3\n\\]\n\n2. **Set up the multiplication as a column multiplication:**\n \\[\n\\begin{array}{c@{}c@{}c}\n & 4 & 7 & 2 \\\\\n\\times & & 2 & 9 & 3 ... | [
"138296",
"138296",
"",
"138296",
"138296",
"138296"
] | [
true,
true,
false,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 138296\nWas Correct: True\nTarget: 138296",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\( 472 \\times 293 \\), we'll break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n2... |
68 | {"question": "What is the solution to the long multiplication equation below?\n\n804 x 854\n\nThink step by step.", "solution": "686616", "problem": "What is the solution to the long multiplication equation below?\n\n804 x 854\n\nThink step by step.", "answer": "686616"} | 686616 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n804 x 854\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": fal... | 0 | ["109616"] | samples_longmult_3dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation 804 x 854, we can break it down into simpler steps:\n\n1. **Break down the numbers**: We can think of 804 as 800 + 4 and 854 as 800 + 54.\n \n2. **Use the distributive property**: The distributive property of multiplication over addition states tha... | longmult | To solve the long multiplication equation 804 x 854, we can break it down into simpler steps:
1. **Break down the numbers**: We can think of 804 as 800 + 4 and 854 as 800 + 54.
2. **Use the distributive property**: The distributive property of multiplication over addition states that a(b + c) = ab + ac. Applying t... | 472 | 0 | 104616 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
804 x 854
T... | The final answer is determined from the last part of the model's output where it states the solution to the long multiplication equation 804 x 854 is \boxed{68516}. This is the last computed value provided by the model. | gpt-4o-mini | 0 | false | The language model's answer of 104616 is incorrect because it does not match the correct multiplication result of 804 x 854, which is 686616. The model likely made an error in the multiplication process, as the correct answer is significantly larger than what was provided. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"104616",
"107400",
"32816",
"645616",
"104616",
"70416"
],
[
"675216",
"67,736",
"67,736"
],
[
"67,736",
"67,736"
],
[
"67736"
],
[
""
],
[
"67,736",
"67,736",
"109616"
]
] | [
[
false,
false,
false,
false,
false,
false
],
[
false,
false,
false
],
[
false,
false
],
[
false
],
[
false
],
[
false,
false,
false
]
] | [
[
"The language model's answer of 104616 is incorrect because it does not match the correct multiplication result of 804 x 854, which is 686616. The model likely made an error in the multiplication process, as the correct answer is significantly larger than what was provided.",
"The language model's answer ... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation 804 x 854, we can break it down into simpler steps:\n\n1. **Break down the numbers**: We can think of 804 as 800 + 4 and 854 as 800 + 54.\n \n2. **Use the distributive property**: The distributive property of multiplication over addition states that a(b + c) = ab + ac. A... | [
"70416",
"67,736",
"67,736",
"67736",
"",
"109616"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 70416\nWas Correct: False\nTarget: 686616",
"role": "user"
},
{
"content": "To solve the long multiplication equation 804 x 854, we can break it down into simpler steps:\n\n1. **Break down the numbers**: We can think of 804 as ... |
72 | {"question": "What is the solution to the long multiplication equation below?\n\n356 x 893\n\nThink step by step.", "solution": "317908", "problem": "What is the solution to the long multiplication equation below?\n\n356 x 893\n\nThink step by step.", "answer": "317908"} | 317908 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n356 x 893\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": fal... | 0 | ["34584"] | samples_longmult_3dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["Step 1: Break down the multiplication into smaller, more manageable problems\n356 x 893 = (356 x 800) + (356 x 90) + (356 x 3)\n\nStep 2: Multiply each smaller problem by 356\n356 x 800 = 284800\n356 x 90 = 31440\n356 x 3 = 1068\n\nStep 3: Add up the results of the multiplication\n284800 + 3... | longmult | Step 1: Break down the multiplication into smaller, more manageable problems
356 x 893 = (356 x 800) + (356 x 90) + (356 x 3)
Step 2: Multiply each smaller problem by 356
356 x 800 = 284800
356 x 90 = 31440
356 x 3 = 1068
Step 3: Add up the results of the multiplication
284800 + 31440 + 1068 = 316308
Therefore, the ... | 476 | 0 | 316308 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
356 x 893
T... | The final answer is determined from the first clear conclusion in the model's output, which states that the solution to the long multiplication equation 356 x 893 is 316308. | gpt-4o-mini | 0 | false | The language model's answer of 316308 is incorrect because the correct multiplication of 356 and 893 results in 317908. The calculation can be verified by performing the multiplication step by step, confirming that the final product is indeed 317908. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"316308",
"286808",
"316840",
"281368",
"317908"
],
[
"317908"
],
[
"138240",
"34584"
],
[
""
],
[
"34584"
],
[
"34584",
"34584"
]
] | [
[
false,
false,
false,
false,
true
],
[
true
],
[
false,
false
],
[
false
],
[
false
],
[
false,
false
]
] | [
[
"The language model's answer of 316308 is incorrect because the correct multiplication of 356 and 893 results in 317908. The calculation can be verified by performing the multiplication step by step, confirming that the final product is indeed 317908.",
"The language model's answer of 286808 is incorrect ... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"Step 1: Break down the multiplication into smaller, more manageable problems\n356 x 893 = (356 x 800) + (356 x 90) + (356 x 3)\n\nStep 2: Multiply each smaller problem by 356\n356 x 800 = 284800\n356 x 90 = 31440\n356 x 3 = 1068\n\nStep 3: Add up the results of the multiplication\n284800 + 31440 + 1068 = 316308\n\... | [
"317908",
"317908",
"34584",
"",
"34584",
"34584"
] | [
true,
true,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 317908\nWas Correct: True\nTarget: 317908",
"role": "user"
},
{
"content": "Step 1: Break down the multiplication into smaller, more manageable problems\n356 x 893 = (356 x 800) + (356 x 90) + (356 x 3)\n\nStep 2: Multiply each... |
73 | {"question": "What is the solution to the long multiplication equation below?\n\n445 x 414\n\nThink step by step.", "solution": "184230", "problem": "What is the solution to the long multiplication equation below?\n\n445 x 414\n\nThink step by step.", "answer": "184230"} | 184230 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n445 x 414\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": fal... | 0 | ["168030"] | samples_longmult_3dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["Step 1: Break down the multiplication into smaller, more manageable problems\n445 x 414 = (400 + 45) x 414\n\nStep 2: Apply the distributive property to the multiplication\n= 400 x 414 + 45 x 414\n\nStep 3: Multiply 400 by 414\n= 165,600\n\nStep 4: Multiply 45 by 414\n= 18,570\n\nStep 5: Add... | longmult | Step 1: Break down the multiplication into smaller, more manageable problems
445 x 414 = (400 + 45) x 414
Step 2: Apply the distributive property to the multiplication
= 400 x 414 + 45 x 414
Step 3: Multiply 400 by 414
= 165,600
Step 4: Multiply 45 by 414
= 18,570
Step 5: Add the results of the multiplication
= 165... | 477 | 0 | 184,170 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
445 x 414
T... | The final answer is determined from the repeated calculations and confirmations of the multiplication process, which consistently led to the result of 168030 for the equation 445 x 414. | gpt-4o-mini | 0 | false | The language model's answer of 184,170 is incorrect because it does not match the correct answer of 184,230. The multiplication of 445 and 414 should be calculated step by step to ensure accuracy, and the correct product is indeed 184,230. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"184,170",
"183230",
"168000",
"168030",
"184230"
],
[
"168030",
"168030"
],
[
"184190",
"168030"
],
[
""
],
[
"6230",
"168030"
],
[
"168030",
"184190"
]
] | [
[
false,
false,
false,
false,
true
],
[
false,
false
],
[
false,
false
],
[
false
],
[
false,
false
],
[
false,
false
]
] | [
[
"The language model's answer of 184,170 is incorrect because it does not match the correct answer of 184,230. The multiplication of 445 and 414 should be calculated step by step to ensure accuracy, and the correct product is indeed 184,230.",
"The language model's answer of 183230 is incorrect because the... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"Step 1: Break down the multiplication into smaller, more manageable problems\n445 x 414 = (400 + 45) x 414\n\nStep 2: Apply the distributive property to the multiplication\n= 400 x 414 + 45 x 414\n\nStep 3: Multiply 400 by 414\n= 165,600\n\nStep 4: Multiply 45 by 414\n= 18,570\n\nStep 5: Add the results of the mul... | [
"184230",
"168030",
"168030",
"",
"168030",
"184190"
] | [
true,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 184230\nWas Correct: True\nTarget: 184230",
"role": "user"
},
{
"content": "Step 1: Break down the multiplication into smaller, more manageable problems\n445 x 414 = (400 + 45) x 414\n\nStep 2: Apply the distributive property t... |
20 | {"question": "What is the solution to the long multiplication equation below?\n\n7222 x 4993\n\nThink step by step.", "solution": "36059446", "problem": "What is the solution to the long multiplication equation below?\n\n7222 x 4993\n\nThink step by step.", "answer": "36059446"} | 36059446 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n7222 x 4993\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": f... | 0 | ["3550446"] | samples_longmult_4dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the multiplication problem \\( 7222 \\times 4993 \\), we can use the standard long multiplication method. Here are the steps:\n\n1. **Multiply 4993 by the units digit of 7222**: \n \\[\n 4993 \\times 2 = 9986\n \\]\n\n2. **Multiply 4993 by the tens digit of 7222**:\n \\[\n ... | longmult | To solve the multiplication problem \( 7222 \times 4993 \), we can use the standard long multiplication method. Here are the steps:
1. **Multiply 4993 by the units digit of 7222**:
\[
4993 \times 2 = 9986
\]
2. **Multiply 4993 by the tens digit of 7222**:
\[
4993 \times 22 = 10986
\]
(We multipl... | 524 | 0 | 34950 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
7222 x 4993
... | The final answer is determined from the last part of the model's output where it states the solution to the long multiplication equation is \( 7222 \times 4993 \) is \( \boxed{35604446} \). This is the last computed value provided by the model. | gpt-4o-mini | 0 | false | The language model's answer of 34950 is incorrect because it does not match the correct multiplication result of 7222 x 4993, which is 36059446. The model likely made an error in the multiplication process or miscalculated the final result. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"34950",
"359158",
"3793200",
"36809334",
"35604446",
"45535956",
"45536596",
"4555056"
],
[
""
],
[
"3560446",
"3560446"
],
[
"45536596",
"3550446"
],
[
"3550446",
"3550446"
],
[
"3550446"
]
] | [
[
false,
false,
false,
false,
false,
false,
false,
false
],
[
false
],
[
false,
false
],
[
false,
false
],
[
false,
false
],
[
false
]
] | [
[
"The language model's answer of 34950 is incorrect because it does not match the correct multiplication result of 7222 x 4993, which is 36059446. The model likely made an error in the multiplication process or miscalculated the final result.",
"The language model's answer of 359158 is incorrect because it... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the multiplication problem \\( 7222 \\times 4993 \\), we can use the standard long multiplication method. Here are the steps:\n\n1. **Multiply 4993 by the units digit of 7222**: \n \\[\n 4993 \\times 2 = 9986\n \\]\n\n2. **Multiply 4993 by the tens digit of 7222**:\n \\[\n 4993 \\times 22 = 1098... | [
"4555056",
"",
"3560446",
"3550446",
"3550446",
"3550446"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 4555056\nWas Correct: False\nTarget: 36059446",
"role": "user"
},
{
"content": "To solve the multiplication problem \\( 7222 \\times 4993 \\), we can use the standard long multiplication method. Here are the steps:\n\n1. **Mult... |
35 | {"question": "What is the solution to the long multiplication equation below?\n\n5562 x 2338\n\nThink step by step.", "solution": "13003956", "problem": "What is the solution to the long multiplication equation below?\n\n5562 x 2338\n\nThink step by step.", "answer": "13003956"} | 13003956 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n5562 x 2338\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": f... | 0 | ["11922000"] | samples_longmult_4dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["Multiplying 5562 by 2338 involves a step-by-step process of long multiplication. Here's how you can do it:\n\n1. **Multiply 5562 by 8**:\n - 8 x 2 = 16 (write down 6 and carry over 1)\n - 8 x 3 = 24, then add the carried over 1 to get 25\n - So, 5562 x 8 = 44496\n\n2. **Multiply 5562 b... | longmult | Multiplying 5562 by 2338 involves a step-by-step process of long multiplication. Here's how you can do it:
1. **Multiply 5562 by 8**:
- 8 x 2 = 16 (write down 6 and carry over 1)
- 8 x 3 = 24, then add the carried over 1 to get 25
- So, 5562 x 8 = 44496
2. **Multiply 5562 by 30** (consider 2338 as 2338 * 10)... | 539 | 0 | 211356 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
5562 x 2338
... | The final answer is determined from the last part of the model's output where it states, "Therefore, the solution to the long multiplication equation 5562 x 2338 is \boxed{211356}." This indicates that the answer to the multiplication problem is 211356. | gpt-4o-mini | 0 | false | The language model's answer of 211356 is incorrect because it does not match the correct multiplication result of 5562 x 2338, which is 13003956. The model likely made an error in the multiplication process or miscalculated the final result. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"211356",
"183546",
"211356",
"10691000",
"11901960",
"11922000",
"11922000",
"211356"
],
[
"1491480",
"1491480",
"11922000"
],
[
"11922000"
],
[
""
],
[
"11922000"
],
[
"11922000"
]
] | [
[
false,
false,
false,
false,
false,
false,
false,
false
],
[
false,
false,
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"The language model's answer of 211356 is incorrect because it does not match the correct multiplication result of 5562 x 2338, which is 13003956. The model likely made an error in the multiplication process or miscalculated the final result.",
"The language model's answer of 183546 is incorrect because i... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"Multiplying 5562 by 2338 involves a step-by-step process of long multiplication. Here's how you can do it:\n\n1. **Multiply 5562 by 8**:\n - 8 x 2 = 16 (write down 6 and carry over 1)\n - 8 x 3 = 24, then add the carried over 1 to get 25\n - So, 5562 x 8 = 44496\n\n2. **Multiply 5562 by 30** (consider 2338 a... | [
"211356",
"11922000",
"11922000",
"",
"11922000",
"11922000"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 211356\nWas Correct: False\nTarget: 13003956",
"role": "user"
},
{
"content": "Multiplying 5562 by 2338 involves a step-by-step process of long multiplication. Here's how you can do it:\n\n1. **Multiply 5562 by 8**:\n - 8 x 2... |
61 | {"question": "What is the solution to the long multiplication equation below?\n\n5797 x 1699\n\nThink step by step.", "solution": "9849103", "problem": "What is the solution to the long multiplication equation below?\n\n5797 x 1699\n\nThink step by step.", "answer": "9849103"} | 9849103 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n5797 x 1699\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": f... | 0 | ["6194703"] | samples_longmult_4dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\( 5797 \\times 1699 \\), we will break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n1699 = 1600 + 99\n\\]\nThis is because \\( 1699 = 16 \\times 100 + 99 \\).\n\n2. **Write out the multiplication as a series of smaller mul... | longmult | To solve the long multiplication equation \( 5797 \times 1699 \), we will break it down into simpler steps.
1. **Break down the numbers:**
\[
1699 = 1600 + 99
\]
This is because \( 1699 = 16 \times 100 + 99 \).
2. **Write out the multiplication as a series of smaller multiplications:**
\[
5797 \times 1699 = 5797 \... | 565 | 0 | 9849103 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
5797 x 1699
... | The final answer is determined from the first complete calculation provided in the model's output, which states that the solution to the long multiplication equation 5797 x 1699 is boxed as 9849103. | gpt-4o-mini | 0 | true | The language model's answer of 9849103 matches the correct answer provided. Therefore, the answer is correct. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"9849103",
"1008371",
"6656423",
"6556023",
"1090103",
"6144723",
"6196903"
],
[
"6196903"
],
[
"6194903",
"6194903",
"6194703"
],
[
"6194703",
"6194703"
],
[
""
],
[
"6194703",
"6144903"
]
] | [
[
true,
false,
false,
false,
false,
false,
false
],
[
false
],
[
false,
false,
false
],
[
false,
false
],
[
false
],
[
false,
false
]
] | [
[
"The language model's answer of 9849103 matches the correct answer provided. Therefore, the answer is correct.",
"The language model's answer of 1008371 is incorrect because it does not match the correct multiplication result of 5797 x 1699, which is 9849103. The model likely made an error in the calculat... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\( 5797 \\times 1699 \\), we will break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n1699 = 1600 + 99\n\\]\nThis is because \\( 1699 = 16 \\times 100 + 99 \\).\n\n2. **Write out the multiplication as a series of smaller multiplications:**\n\\[\n5... | [
"6196903",
"6196903",
"6194703",
"6194703",
"",
"6144903"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 6196903\nWas Correct: False\nTarget: 9849103",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\( 5797 \\times 1699 \\), we will break it down into simpler steps.\n\n1. **Break down the numbers:**\n ... |
91 | {"question": "What is the solution to the long multiplication equation below?\n\n1791 x 4452\n\nThink step by step.", "solution": "7973532", "problem": "What is the solution to the long multiplication equation below?\n\n1791 x 4452\n\nThink step by step.", "answer": "7973532"} | 7973532 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n1791 x 4452\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": f... | 0 | ["792912"] | samples_longmult_4dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["Multiplying 1791 by 4452 using long multiplication involves a series of steps:\n\n1. Multiply 1791 by 2 (the ones place of 4452), which gives 3582. Write down 3582.\n\n2. Multiply 1791 by 40 (the tens place of 4452), which gives 71640. Since we are multiplying by 40, we shift this result one... | longmult | Multiplying 1791 by 4452 using long multiplication involves a series of steps:
1. Multiply 1791 by 2 (the ones place of 4452), which gives 3582. Write down 3582.
2. Multiply 1791 by 40 (the tens place of 4452), which gives 71640. Since we are multiplying by 40, we shift this result one place to the left, making it 71... | 595 | 0 | 75222 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
1791 x 4452
... | The final answer is determined from the last part of the model's output where it states the solution to the long multiplication equation 1791 x 4452 is boxed as 974152. | gpt-4o-mini | 0 | false | The language model's answer of 75222 is incorrect because it does not match the correct multiplication result of 1791 x 4452, which is 7973532. The model likely made an error in the multiplication process or miscalculated the final result. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"75222",
"888132",
"19169500",
"7842012",
"1052112",
"758152"
],
[
"792912",
"792912"
],
[
"792912",
"8814672",
"75222",
"771532",
"165832",
"7436002",
"7845002"
],
[
"792912"
],
[
"881172",
"792912"
],
[
""
]
] | [
[
false,
false,
false,
false,
false,
false
],
[
false,
false
],
[
false,
false,
false,
false,
false,
false,
false
],
[
false
],
[
false,
false
],
[
false
]
] | [
[
"The language model's answer of 75222 is incorrect because it does not match the correct multiplication result of 1791 x 4452, which is 7973532. The model likely made an error in the multiplication process or miscalculated the final result.",
"The language model's answer of 888132 is incorrect because it ... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"Multiplying 1791 by 4452 using long multiplication involves a series of steps:\n\n1. Multiply 1791 by 2 (the ones place of 4452), which gives 3582. Write down 3582.\n\n2. Multiply 1791 by 40 (the tens place of 4452), which gives 71640. Since we are multiplying by 40, we shift this result one place to the left, mak... | [
"758152",
"792912",
"7845002",
"792912",
"792912",
""
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 758152\nWas Correct: False\nTarget: 7973532",
"role": "user"
},
{
"content": "Multiplying 1791 by 4452 using long multiplication involves a series of steps:\n\n1. Multiply 1791 by 2 (the ones place of 4452), which gives 3582. W... |
96 | {"question": "What is the solution to the long multiplication equation below?\n\n5468 x 5578\n\nThink step by step.", "solution": "30500504", "problem": "What is the solution to the long multiplication equation below?\n\n5468 x 5578\n\nThink step by step.", "answer": "30500504"} | 30500504 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n5468 x 5578\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": f... | 0 | ["2734800"] | samples_longmult_4dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["Multiplying 5468 by 5578 directly can be very time-consuming, as it is a large multiplication. However, we can break it down into a series of simpler multiplications:\n\n1. First, break it into two simpler multiplications:\n 5468 x 5578 = 5468 x (5500 + 78)\n\n2. Apply the distributive pro... | longmult | Multiplying 5468 by 5578 directly can be very time-consuming, as it is a large multiplication. However, we can break it down into a series of simpler multiplications:
1. First, break it into two simpler multiplications:
5468 x 5578 = 5468 x (5500 + 78)
2. Apply the distributive property:
5468 x 5578 = 5468 x 55... | 600 | 0 | 3398664 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
5468 x 5578
... | The final answer is determined from the repeated calculations in the model's output, where it consistently arrives at the value 317144 after breaking down the multiplication into simpler steps. | gpt-4o-mini | 0 | false | The language model's answer of 3398664 is incorrect because it does not match the correct multiplication result of 5468 x 5578, which is 30500504. The model likely made an error in the multiplication process, as the correct answer is significantly larger than the model's output. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"3398664",
"45144",
"69064",
"317144",
"317144"
],
[
""
],
[
"28865440",
"3903904",
"31561344"
],
[
"31712000",
"738448",
"1141200",
"1155804",
"3046464"
],
[
"3603944",
"1185824"
],
[
"2734800",
"1185824"
]
] | [
[
false,
false,
false,
false,
false
],
[
false
],
[
false,
false,
false
],
[
false,
false,
false,
false,
false
],
[
false,
false
],
[
false,
false
]
] | [
[
"The language model's answer of 3398664 is incorrect because it does not match the correct multiplication result of 5468 x 5578, which is 30500504. The model likely made an error in the multiplication process, as the correct answer is significantly larger than the model's output.",
"The language model's a... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"Multiplying 5468 by 5578 directly can be very time-consuming, as it is a large multiplication. However, we can break it down into a series of simpler multiplications:\n\n1. First, break it into two simpler multiplications:\n 5468 x 5578 = 5468 x (5500 + 78)\n\n2. Apply the distributive property:\n 5468 x 5578 ... | [
"317144",
"",
"31561344",
"3046464",
"1185824",
"1185824"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 317144\nWas Correct: False\nTarget: 30500504",
"role": "user"
},
{
"content": "Multiplying 5468 by 5578 directly can be very time-consuming, as it is a large multiplication. However, we can break it down into a series of simple... |
1 | {"question": "What is the solution to the long multiplication equation below?\n\n31 x 41\n\nThink step by step.", "solution": "1271", "model_responses": ["To multiply 31 by 41, follow these steps:\n\n1) First, write the numbers line under each other:\n 31 \n \u00d7 41 \n\n2) Multiply each digit of the bottom number... | 1271 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n31 x 41\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["1271"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\( 31 \\times 41 \\) step by step, follow these steps:\n\n1. **Multiply the ones place of the first number by the first number:**\n \\[\n1 \\times 31 = 31\n\\]\n\n2. **Multiply the ones place of the first number by the second number:**\n \\[\n1 ... | longmult | To solve the long multiplication equation \( 31 \times 41 \) step by step, follow these steps:
1. **Multiply the ones place of the first number by the first number:**
\[
1 \times 31 = 31
\]
2. **Multiply the ones place of the first number by the second number:**
\[
1 \times 41 = 41
\]
3. **Multiply the tens pl... | 1 | 0 | 1271 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
31 x 41
Thi... | The model consistently arrives at the final answer of 1271 through multiple steps of long multiplication, confirming the result through various methods of calculation. | gpt-4o-mini | 0 | true | The language model's answer of 1271 matches the correct answer for the multiplication of 31 and 41. The calculation can be verified by performing the multiplication: 31 x 41 = 1271. Therefore, the language model's answer is correct. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"1271",
"1271",
"1271",
"1271"
],
[
"1271",
"1271"
],
[
"1271"
],
[
"1271"
],
[
"1271"
],
[
"1271",
"1271"
]
] | [
[
true,
true,
true,
true
],
[
true,
true
],
[
true
],
[
true
],
[
true
],
[
true,
true
]
] | [
[
"The language model's answer of 1271 matches the correct answer for the multiplication of 31 and 41. The calculation can be verified by performing the multiplication: 31 x 41 = 1271. Therefore, the language model's answer is correct.",
"The language model's answer of 1271 matches the correct answer for th... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\( 31 \\times 41 \\) step by step, follow these steps:\n\n1. **Multiply the ones place of the first number by the first number:**\n \\[\n1 \\times 31 = 31\n\\]\n\n2. **Multiply the ones place of the first number by the second number:**\n \\[\n1 \\times 41 = 41\n\\]\n\... | [
"1271",
"1271",
"1271",
"1271",
"1271",
"1271"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 1271\nWas Correct: True\nTarget: 1271",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\( 31 \\times 41 \\) step by step, follow these steps:\n\n1. **Multiply the ones place of the first number by th... |
2 | {"question": "What is the solution to the long multiplication equation below?\n\n41 x 31\n\nThink step by step.", "solution": "1271", "model_responses": ["To solve \\(41 \\times 31\\) using long multiplication, follow these steps:\n\n1. **Write down the numbers:**\n ```\n 41\n \u00d7 31\n _______\n ```\n\... | 1271 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n41 x 31\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["1271"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation 41 x 31, we follow these steps:\n\n1. Break down the numbers to make the multiplication easier:\n - 41 can be written as 40 + 1\n - 31 can be written as 30 + 1\n\n2. Multiply each part of the second number by each part of the first number:\n - ... | longmult | To solve the long multiplication equation 41 x 31, we follow these steps:
1. Break down the numbers to make the multiplication easier:
- 41 can be written as 40 + 1
- 31 can be written as 30 + 1
2. Multiply each part of the second number by each part of the first number:
- 40 x 30 = 1200
- 40 x 1 = 40
... | 2 | 0 | 2470 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
41 x 31
Thi... | The model consistently arrives at the final answer of 1271 through multiple calculations and checks, confirming the correctness of the solution to the multiplication of 41 and 31. | gpt-4o-mini | 0 | false | The language model's answer of 2470 is incorrect because it does not accurately reflect the multiplication of 41 and 31. The correct calculation is 41 multiplied by 31, which equals 1271. The model likely made an error in the multiplication process. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"2470",
"1271",
"1271",
"1271",
"1271"
],
[
"1271",
"1271"
],
[
"1271"
],
[
"1271"
],
[
"751",
"1270",
"1270"
],
[
"1271"
]
] | [
[
false,
true,
true,
true,
true
],
[
true,
true
],
[
true
],
[
true
],
[
false,
false,
false
],
[
true
]
] | [
[
"The language model's answer of 2470 is incorrect because it does not accurately reflect the multiplication of 41 and 31. The correct calculation is 41 multiplied by 31, which equals 1271. The model likely made an error in the multiplication process.",
"The language model's answer of 1271 matches the corr... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation 41 x 31, we follow these steps:\n\n1. Break down the numbers to make the multiplication easier:\n - 41 can be written as 40 + 1\n - 31 can be written as 30 + 1\n\n2. Multiply each part of the second number by each part of the first number:\n - 40 x 30 = 1200\n - 40... | [
"1271",
"1271",
"1271",
"1271",
"1270",
"1271"
] | [
true,
true,
true,
true,
false,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 1271\nWas Correct: True\nTarget: 1271",
"role": "user"
},
{
"content": "To solve the long multiplication equation 41 x 31, we follow these steps:\n\n1. Break down the numbers to make the multiplication easier:\n - 41 can be w... |
3 | {"question": "What is the solution to the long multiplication equation below?\n\n48 x 64\n\nThink step by step.", "solution": "3072", "model_responses": ["To solve the long multiplication problem 48 x 64, we will proceed step by step:\n\n1. First, we'll multiply the units digit of 48 by 64:\n\n 48 x 4 = 192\n \n ... | 3072 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n48 x 64\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["3072"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\( 48 \\times 64 \\), we will break it down into simpler steps.\n\n1. **Break down 64 into tens and ones:**\n \\[\n64 = 60 + 4\n\\]\n\n2. **Write out the multiplication as a multiplication problem:**\n\\[\n48 \\times 64 = 48 \\times (60 + 4)\n\\]\... | longmult | To solve the long multiplication equation \( 48 \times 64 \), we will break it down into simpler steps.
1. **Break down 64 into tens and ones:**
\[
64 = 60 + 4
\]
2. **Write out the multiplication as a multiplication problem:**
\[
48 \times 64 = 48 \times (60 + 4)
\]
3. **Apply the distributive property:**
\[
48 ... | 3 | 0 | 3072 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
48 x 64
Thi... | The final answer is determined from the repeated conclusion in the model's output, which states that the solution to the multiplication equation 48 x 64 is 3072. | gpt-4o-mini | 0 | true | The language model's answer of 3072 is correct because the multiplication of 48 and 64 indeed equals 3072. This can be verified by performing the multiplication step by step: 48 multiplied by 64 can be calculated as (48 x 60) + (48 x 4) = 2880 + 192 = 3072. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"3072",
"3072",
"3072",
"3072"
],
[
"3072"
],
[
"3072"
],
[
"3072",
"3072"
],
[
"3072"
],
[
"3072"
]
] | [
[
true,
true,
true,
true
],
[
true
],
[
true
],
[
true,
true
],
[
true
],
[
true
]
] | [
[
"The language model's answer of 3072 is correct because the multiplication of 48 and 64 indeed equals 3072. This can be verified by performing the multiplication step by step: 48 multiplied by 64 can be calculated as (48 x 60) + (48 x 4) = 2880 + 192 = 3072.",
"The language model's answer of 3072 is corre... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\( 48 \\times 64 \\), we will break it down into simpler steps.\n\n1. **Break down 64 into tens and ones:**\n \\[\n64 = 60 + 4\n\\]\n\n2. **Write out the multiplication as a multiplication problem:**\n\\[\n48 \\times 64 = 48 \\times (60 + 4)\n\\]\n\n3. **Apply the distr... | [
"3072",
"3072",
"3072",
"3072",
"3072",
"3072"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 3072\nWas Correct: True\nTarget: 3072",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\( 48 \\times 64 \\), we will break it down into simpler steps.\n\n1. **Break down 64 into tens and ones:**\n ... |
4 | {"question": "What is the solution to the long multiplication equation below?\n\n48 x 64\n\nThink step by step.", "solution": "3072", "model_responses": ["To solve the long multiplication problem 48 x 64, we will proceed step by step:\n\n1. First, we'll multiply the units digit of 48 by 64:\n\n 48 x 4 = 192\n \n ... | 3072 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n48 x 64\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["3072"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\( 48 \\times 64 \\), we will break it down into simpler steps.\n\n1. **Break down 64 into tens and ones:**\n \\[\n64 = 60 + 4\n\\]\n\n2. **Write out the multiplication as a multiplication problem:**\n\\[\n48 \\times 64 = 48 \\times (60 + 4)\n\\]\... | longmult | To solve the long multiplication equation \( 48 \times 64 \), we will break it down into simpler steps.
1. **Break down 64 into tens and ones:**
\[
64 = 60 + 4
\]
2. **Write out the multiplication as a multiplication problem:**
\[
48 \times 64 = 48 \times (60 + 4)
\]
3. **Apply the distributive property:**
\[
48 ... | 4 | 0 | 3072 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
48 x 64
Thi... | The final answer is consistently stated as 3072 throughout the response, specifically highlighted in the conclusion of the calculations. | gpt-4o-mini | 0 | true | The language model's answer of 3072 is correct because the multiplication of 48 and 64 indeed equals 3072. This can be verified by performing the multiplication step by step: 48 multiplied by 64 can be calculated as (48 x 60) + (48 x 4) = 2880 + 192 = 3072. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"3072",
"3072",
"3072",
"3072"
],
[
"3072",
"3072"
],
[
"960",
"3072",
"3072"
],
[
"3072"
],
[
"3072",
"3072"
],
[
"3072"
]
] | [
[
true,
true,
true,
true
],
[
true,
true
],
[
false,
true,
true
],
[
true
],
[
true,
true
],
[
true
]
] | [
[
"The language model's answer of 3072 is correct because the multiplication of 48 and 64 indeed equals 3072. This can be verified by performing the multiplication step by step: 48 multiplied by 64 can be calculated as (48 x 60) + (48 x 4) = 2880 + 192 = 3072.",
"The language model's answer of 3072 is corre... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\( 48 \\times 64 \\), we will break it down into simpler steps.\n\n1. **Break down 64 into tens and ones:**\n \\[\n64 = 60 + 4\n\\]\n\n2. **Write out the multiplication as a multiplication problem:**\n\\[\n48 \\times 64 = 48 \\times (60 + 4)\n\\]\n\n3. **Apply the distr... | [
"3072",
"3072",
"3072",
"3072",
"3072",
"3072"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 3072\nWas Correct: True\nTarget: 3072",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\( 48 \\times 64 \\), we will break it down into simpler steps.\n\n1. **Break down 64 into tens and ones:**\n ... |
5 | {"question": "What is the solution to the long multiplication equation below?\n\n69 x 66\n\nThink step by step.", "solution": "4554", "model_responses": ["To solve the multiplication problem \\(69 \\times 66\\), we can break it down into simpler steps, as described below:\n\nStep 1: Multiply 69 by 60.\n\\(69 \\times 60... | 4554 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n69 x 66\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["4554"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation 69 x 66, we can follow the standard multiplication algorithm:\n\n1. Multiply 66 by 9 (the ones place of 69): \n 66 x 9 = 594\n\n2. Multiply 66 by 60 (the tens place of 69):\n 66 x 60 = 3960\n\n3. Add the results from step 1 and step 2:\n 594 + ... | longmult | To solve the long multiplication equation 69 x 66, we can follow the standard multiplication algorithm:
1. Multiply 66 by 9 (the ones place of 69):
66 x 9 = 594
2. Multiply 66 by 60 (the tens place of 69):
66 x 60 = 3960
3. Add the results from step 1 and step 2:
594 + 3960 = 4554
So, the solution to the ... | 5 | 0 | 4554 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
69 x 66
Thi... | The final answer is determined from the repeated conclusion in the model's output, which states that the solution to the long multiplication equation 69 x 66 is 4554. | gpt-4o-mini | 0 | true | The language model's answer of 4554 matches the correct answer provided. The multiplication of 69 and 66 is indeed 4554, confirming that the language model's response is accurate. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"4554",
"4554",
"4554",
"4554"
],
[
"4554",
"4554"
],
[
"4554"
],
[
"4554",
"4554"
],
[
"4554",
"4554",
"4554"
],
[
"4554"
]
] | [
[
true,
true,
true,
true
],
[
true,
true
],
[
true
],
[
true,
true
],
[
true,
true,
true
],
[
true
]
] | [
[
"The language model's answer of 4554 matches the correct answer provided. The multiplication of 69 and 66 is indeed 4554, confirming that the language model's response is accurate.",
"The language model's answer of 4554 matches the correct answer provided. The multiplication of 69 and 66 is indeed 4554, c... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation 69 x 66, we can follow the standard multiplication algorithm:\n\n1. Multiply 66 by 9 (the ones place of 69): \n 66 x 9 = 594\n\n2. Multiply 66 by 60 (the tens place of 69):\n 66 x 60 = 3960\n\n3. Add the results from step 1 and step 2:\n 594 + 3960 = 4554\n\nSo, the ... | [
"4554",
"4554",
"4554",
"4554",
"4554",
"4554"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 4554\nWas Correct: True\nTarget: 4554",
"role": "user"
},
{
"content": "To solve the long multiplication equation 69 x 66, we can follow the standard multiplication algorithm:\n\n1. Multiply 66 by 9 (the ones place of 69): \n ... |
6 | {"question": "What is the solution to the long multiplication equation below?\n\n58 x 13\n\nThink step by step.", "solution": "754", "model_responses": ["To solve the multiplication problem \\(58 \\times 13\\) step by step, we can use the standard algorithm for long multiplication. Here's the process broken down:\n\n##... | 754 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n58 x 13\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["754"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["Step 1: Break down the multiplication into smaller, more manageable problems\n58 x 13 = (50 + 8) x 13\n\nStep 2: Apply the distributive property to the multiplication\n= 50 x 13 + 8 x 13\n\nStep 3: Multiply 50 by 13\n= 650\n\nStep 4: Multiply 8 by 13\n= 104\n\nStep 5: Add the results of the ... | longmult | Step 1: Break down the multiplication into smaller, more manageable problems
58 x 13 = (50 + 8) x 13
Step 2: Apply the distributive property to the multiplication
= 50 x 13 + 8 x 13
Step 3: Multiply 50 by 13
= 650
Step 4: Multiply 8 by 13
= 104
Step 5: Add the results of the multiplication
= 650 + 104 = 754
Theref... | 6 | 0 | 754 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
58 x 13
Thi... | The final answer is determined from the repeated conclusion in the model's output, which states that the solution to the long multiplication equation 58 x 13 is 754. | gpt-4o-mini | 0 | true | The language model's answer of 754 matches the correct answer provided. The multiplication of 58 and 13 is calculated as follows: 58 x 13 = 754. Therefore, the language model's answer is correct. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"754",
"754",
"754",
"754"
],
[
"754"
],
[
"754"
],
[
"754"
],
[
"754"
],
[
"754"
]
] | [
[
true,
true,
true,
true
],
[
true
],
[
true
],
[
true
],
[
true
],
[
true
]
] | [
[
"The language model's answer of 754 matches the correct answer provided. The multiplication of 58 and 13 is calculated as follows: 58 x 13 = 754. Therefore, the language model's answer is correct.",
"The language model's answer of 754 matches the correct answer provided. The multiplication of 58 and 13 ca... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"Step 1: Break down the multiplication into smaller, more manageable problems\n58 x 13 = (50 + 8) x 13\n\nStep 2: Apply the distributive property to the multiplication\n= 50 x 13 + 8 x 13\n\nStep 3: Multiply 50 by 13\n= 650\n\nStep 4: Multiply 8 by 13\n= 104\n\nStep 5: Add the results of the multiplication\n= 650 +... | [
"754",
"754",
"754",
"754",
"754",
"754"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 754\nWas Correct: True\nTarget: 754",
"role": "user"
},
{
"content": "Step 1: Break down the multiplication into smaller, more manageable problems\n58 x 13 = (50 + 8) x 13\n\nStep 2: Apply the distributive property to the multi... |
7 | {"question": "What is the solution to the long multiplication equation below?\n\n20 x 80\n\nThink step by step.", "solution": "1600", "model_responses": ["To solve the long multiplication equation \\( 20 \\times 80 \\), follow these steps:\n\n1. **Set up the multiplication**: Write 20 above 80.\n\n\\[\n\\begin{array}{r... | 1600 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n20 x 80\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 0 | ["160"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication problem \\(20 \\times 80\\), think of the numbers as two digit numbers. \n\n1) \\(20\\) can be written as \\(2 \\times 10\\).\n2) \\(80\\) can be written as \\(8 \\times 10\\).\n3) Now multiply the two numbers: \\((2 \\times 10) \\times (8 \\times 10)\\).\n\n... | longmult | To solve the long multiplication problem \(20 \times 80\), think of the numbers as two digit numbers.
1) \(20\) can be written as \(2 \times 10\).
2) \(80\) can be written as \(8 \times 10\).
3) Now multiply the two numbers: \((2 \times 10) \times (8 \times 10)\).
Using the distributive property, this is:
\[
(2 \tim... | 7 | 0 | 1600 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
20 x 80
Thi... | The final answer is found in the last step of the model's output where it states, 'Thus, the solution to 20 x 80 is \(\boxed{1600}\)'. The boxed value indicates the final answer. | gpt-4o-mini | 0 | true | The language model's answer of 1600 is correct because the multiplication of 20 and 80 is calculated as follows: 20 x 80 = 1600. This matches the correct answer provided. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"1600"
],
[
"1600",
"1600",
"160",
"160"
],
[
"160"
],
[
"160"
],
[
"160"
],
[
"1600"
]
] | [
[
true
],
[
true,
true,
false,
false
],
[
false
],
[
false
],
[
false
],
[
true
]
] | [
[
"The language model's answer of 1600 is correct because the multiplication of 20 and 80 is calculated as follows: 20 x 80 = 1600. This matches the correct answer provided."
],
[
"The language model's answer of 1600 is correct because the multiplication of 20 and 80 is calculated as follows: 20 x 80 = ... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication problem \\(20 \\times 80\\), think of the numbers as two digit numbers. \n\n1) \\(20\\) can be written as \\(2 \\times 10\\).\n2) \\(80\\) can be written as \\(8 \\times 10\\).\n3) Now multiply the two numbers: \\((2 \\times 10) \\times (8 \\times 10)\\).\n\nUsing the distributive ... | [
"1600",
"160",
"160",
"160",
"160",
"1600"
] | [
true,
false,
false,
false,
false,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 1600\nWas Correct: True\nTarget: 1600",
"role": "user"
},
{
"content": "To solve the long multiplication problem \\(20 \\times 80\\), think of the numbers as two digit numbers. \n\n1) \\(20\\) can be written as \\(2 \\times 10\... |
8 | {"question": "What is the solution to the long multiplication equation below?\n\n80 x 20\n\nThink step by step.", "solution": "1600", "model_responses": ["Step 1: \nThe problem involves a long multiplication of two two-digit numbers: \\( 80 \\times 20 \\).\n\nStep 2: \nIdentify the factors, which are:\n80 and 20\n\nS... | 1600 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n80 x 20\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["1600"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\( 80 \\times 20 \\), we can break it down into simpler steps to make the calculation easier.\n\n1. **Separate the numbers**: We can think of \\( 80 \\) as \\( 8 \\times 10 \\) and \\( 20 \\) as \\( 2 \\times 10 \\).\n\n2. **Multiply the digits**: M... | longmult | To solve the long multiplication equation \( 80 \times 20 \), we can break it down into simpler steps to make the calculation easier.
1. **Separate the numbers**: We can think of \( 80 \) as \( 8 \times 10 \) and \( 20 \) as \( 2 \times 10 \).
2. **Multiply the digits**: Multiply the non-zero digits first.
- Multi... | 8 | 0 | 160 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
80 x 20
Thi... | The final answer is determined from the repeated calculations in the model's output, which consistently concludes that the product of 80 and 20 is 1600. | gpt-4o-mini | 0 | false | The language model's answer of 160 is incorrect because the multiplication of 80 by 20 should yield 1600. The correct calculation is: 80 x 20 = 1600. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"160",
"1600",
"1600",
"1600"
],
[
"1600",
"1600"
],
[
"1600"
],
[
"1600"
],
[
"1600"
],
[
"1600",
"1600"
]
] | [
[
false,
true,
true,
true
],
[
true,
true
],
[
true
],
[
true
],
[
true
],
[
true,
true
]
] | [
[
"The language model's answer of 160 is incorrect because the multiplication of 80 by 20 should yield 1600. The correct calculation is: 80 x 20 = 1600.",
"The language model's answer of 1600 is correct because when you multiply 80 by 20, the calculation is straightforward: 80 x 20 = 1600. Therefore, the fi... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\( 80 \\times 20 \\), we can break it down into simpler steps to make the calculation easier.\n\n1. **Separate the numbers**: We can think of \\( 80 \\) as \\( 8 \\times 10 \\) and \\( 20 \\) as \\( 2 \\times 10 \\).\n\n2. **Multiply the digits**: Multiply the non-zero di... | [
"1600",
"1600",
"1600",
"1600",
"1600",
"1600"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 1600\nWas Correct: True\nTarget: 1600",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\( 80 \\times 20 \\), we can break it down into simpler steps to make the calculation easier.\n\n1. **Separate t... |
9 | {"question": "What is the solution to the long multiplication equation below?\n\n66 x 97\n\nThink step by step.", "solution": "6402", "model_responses": ["To solve this multiplication problem step by step, let's break it down into several simple steps:\n\nStep 1: Break down the numbers.\n - 66 = 60 + 6\n - 97 = 100... | 6402 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n66 x 97\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["6402"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["Step 1: Break down the multiplication into smaller, more manageable problems\n66 x 97 = (66 x 100) - (66 x 3)\n\nStep 2: Calculate 66 x 100\n66 x 100 = 6600\n\nStep 3: Calculate 66 x 3\n66 x 3 = 198\n\nStep 4: Subtract the second result from the first\n6600 - 198 = 6402\n\nStep 5: Verify the... | longmult | Step 1: Break down the multiplication into smaller, more manageable problems
66 x 97 = (66 x 100) - (66 x 3)
Step 2: Calculate 66 x 100
66 x 100 = 6600
Step 3: Calculate 66 x 3
66 x 3 = 198
Step 4: Subtract the second result from the first
6600 - 198 = 6402
Step 5: Verify the result by long multiplication or anothe... | 9 | 0 | 6402 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
66 x 97
Thi... | The final answer is found in the concluding statement of the model's output, which clearly states that the solution to the multiplication equation 66 x 97 is 6402. | gpt-4o-mini | 0 | true | The language model's answer of 6402 matches the correct answer provided. The multiplication of 66 and 97 can be calculated as follows: 66 x 97 = 6402. Therefore, the language model's answer is correct. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"6402",
"6402",
"6402",
"6402",
"6402"
],
[
"6402",
"6402",
"6402"
],
[
"6402"
],
[
"6402",
"6402"
],
[
"6402",
"6402"
],
[
"6402"
]
] | [
[
true,
true,
true,
true,
true
],
[
true,
true,
true
],
[
true
],
[
true,
true
],
[
true,
true
],
[
true
]
] | [
[
"The language model's answer of 6402 matches the correct answer provided. The multiplication of 66 and 97 can be calculated as follows: 66 x 97 = 6402. Therefore, the language model's answer is correct.",
"The language model's answer of 6402 matches the correct answer provided. The multiplication of 66 an... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"Step 1: Break down the multiplication into smaller, more manageable problems\n66 x 97 = (66 x 100) - (66 x 3)\n\nStep 2: Calculate 66 x 100\n66 x 100 = 6600\n\nStep 3: Calculate 66 x 3\n66 x 3 = 198\n\nStep 4: Subtract the second result from the first\n6600 - 198 = 6402\n\nStep 5: Verify the result by long multipl... | [
"6402",
"6402",
"6402",
"6402",
"6402",
"6402"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 6402\nWas Correct: True\nTarget: 6402",
"role": "user"
},
{
"content": "Step 1: Break down the multiplication into smaller, more manageable problems\n66 x 97 = (66 x 100) - (66 x 3)\n\nStep 2: Calculate 66 x 100\n66 x 100 = 660... |
10 | {"question": "What is the solution to the long multiplication equation below?\n\n97 x 66\n\nThink step by step.", "solution": "6402", "model_responses": ["To solve the multiplication problem 97 x 66, we'll go through it step by step:\n\nShort multiplication can be seen, although for a thorough understanding, long multi... | 6402 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n97 x 66\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["6402"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["Step 1: Break down the problem into smaller parts\n97 x 66 = 97 x (60 + 6)\n\nStep 2: Apply the distributive property of multiplication over addition\n= 97 x 60 + 97 x 6\n\nStep 3: Multiply 97 by 60\n= 5820\n\nStep 4: Multiply 97 by 6\n= 582\n\nStep 5: Add the results of the multiplication\n... | longmult | Step 1: Break down the problem into smaller parts
97 x 66 = 97 x (60 + 6)
Step 2: Apply the distributive property of multiplication over addition
= 97 x 60 + 97 x 6
Step 3: Multiply 97 by 60
= 5820
Step 4: Multiply 97 by 6
= 582
Step 5: Add the results of the multiplication
= 5820 + 582 = 6402
Therefore, the solut... | 10 | 0 | 6402 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
97 x 66
Thi... | The final answer is found in the conclusion of the model's output, where it states that the solution to the long multiplication equation 97 x 66 is 6402. | gpt-4o-mini | 0 | true | The language model's answer of 6402 matches the correct answer provided. The multiplication of 97 and 66 is indeed 6402, confirming that the language model's response is accurate. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"6402",
"6402",
"6402",
"6402",
"6402"
],
[
"6402",
"6402",
"6402"
],
[
"6402"
],
[
"6402"
],
[
"6402"
],
[
"1552",
"6402"
]
] | [
[
true,
true,
true,
true,
true
],
[
true,
true,
true
],
[
true
],
[
true
],
[
true
],
[
false,
true
]
] | [
[
"The language model's answer of 6402 matches the correct answer provided. The multiplication of 97 and 66 is indeed 6402, confirming that the language model's response is accurate.",
"The language model's answer of 6402 matches the correct answer for the multiplication of 97 and 66. Therefore, the answer ... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"Step 1: Break down the problem into smaller parts\n97 x 66 = 97 x (60 + 6)\n\nStep 2: Apply the distributive property of multiplication over addition\n= 97 x 60 + 97 x 6\n\nStep 3: Multiply 97 by 60\n= 5820\n\nStep 4: Multiply 97 by 6\n= 582\n\nStep 5: Add the results of the multiplication\n= 5820 + 582 = 6402\n\n... | [
"6402",
"6402",
"6402",
"6402",
"6402",
"6402"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 6402\nWas Correct: True\nTarget: 6402",
"role": "user"
},
{
"content": "Step 1: Break down the problem into smaller parts\n97 x 66 = 97 x (60 + 6)\n\nStep 2: Apply the distributive property of multiplication over addition\n= 97... |
11 | {"question": "What is the solution to the long multiplication equation below?\n\n45 x 65\n\nThink step by step.", "solution": "2925", "model_responses": ["Certainly! We'll solve the long multiplication to find the solution step by step.\nFirst, set up the multiplication as described:\n\\begin{array}{c@{}c}\n 45\\... | 2925 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n45 x 65\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["2925"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\(45 \\times 65\\), we will break it down into simpler steps.\n\n1. **Break down the numbers**: We can express 65 as the sum of 60 and 5.\n\n2. **Write out the multiplication as a fraction**:\n \\[\n45 \\times 65 = 45 \\times \\frac{60 + 5}{1}\n\\... | longmult | To solve the long multiplication equation \(45 \times 65\), we will break it down into simpler steps.
1. **Break down the numbers**: We can express 65 as the sum of 60 and 5.
2. **Write out the multiplication as a fraction**:
\[
45 \times 65 = 45 \times \frac{60 + 5}{1}
\]
3. **Distribute the 45 to both terms in ... | 11 | 0 | 2925 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
45 x 65
Thi... | The final answer is found in the repeated conclusion of the model's output, where it states that the solution to the long multiplication equation 45 x 65 is boxed as 2925. | gpt-4o-mini | 0 | true | The language model's answer of 2925 matches the correct answer provided. The multiplication of 45 and 65 is calculated as follows: 45 x 65 = 2925. Therefore, the language model's answer is correct. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"2925",
"2925",
"2925",
"2925"
],
[
"2925",
"2925"
],
[
"2925",
"2925"
],
[
"2925"
],
[
"2925"
],
[
"2925"
]
] | [
[
true,
true,
true,
true
],
[
true,
true
],
[
true,
true
],
[
true
],
[
true
],
[
true
]
] | [
[
"The language model's answer of 2925 matches the correct answer provided. The multiplication of 45 and 65 is calculated as follows: 45 x 65 = 2925. Therefore, the language model's answer is correct.",
"The language model's answer of 2925 is correct because the multiplication of 45 and 65 indeed equals 292... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\(45 \\times 65\\), we will break it down into simpler steps.\n\n1. **Break down the numbers**: We can express 65 as the sum of 60 and 5.\n\n2. **Write out the multiplication as a fraction**:\n \\[\n45 \\times 65 = 45 \\times \\frac{60 + 5}{1}\n\\]\n\n3. **Distribute th... | [
"2925",
"2925",
"2925",
"2925",
"2925",
"2925"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 2925\nWas Correct: True\nTarget: 2925",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\(45 \\times 65\\), we will break it down into simpler steps.\n\n1. **Break down the numbers**: We can express 6... |
12 | {"question": "What is the solution to the long multiplication equation below?\n\n12 x 55\n\nThink step by step.", "solution": "660", "model_responses": ["To solve the multiplication problem 12 x 55 using long multiplication, follow these steps:\n\n1. Break down the problem: \n \\( 12 \\times 55 \\)\n \n2. Multiply:... | 660 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n12 x 55\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["660"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\( 12 \\times 55 \\), we break it down into simpler steps.\n\n1. **Break down the multiplication:**\n \\[\n12 \\times 55 = 12 \\times (50 + 5)\n\\]\n\n2. **Apply the distributive property:**\n \\[\n12 \\times (50 + 5) = 12 \\times 50 + 12 \\time... | longmult | To solve the long multiplication equation \( 12 \times 55 \), we break it down into simpler steps.
1. **Break down the multiplication:**
\[
12 \times 55 = 12 \times (50 + 5)
\]
2. **Apply the distributive property:**
\[
12 \times (50 + 5) = 12 \times 50 + 12 \times 5
\]
3. **Multiply 12 by 50:**
\[
12 \time... | 12 | 0 | 660 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
12 x 55
Thi... | The final answer is found in the last step of the model's output where it states the solution to the multiplication equation is boxed as 660. | gpt-4o-mini | 0 | true | The language model's answer of 660 is correct because the multiplication of 12 and 55 equals 660. The calculation can be verified by performing the multiplication step by step: 12 multiplied by 55 can be broken down as (12 x 50) + (12 x 5) = 600 + 60 = 660. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"660"
],
[
"660"
],
[
"660"
],
[
"700",
"660"
],
[
"660",
"660",
"660"
],
[
"660",
"660"
]
] | [
[
true
],
[
true
],
[
true
],
[
false,
true
],
[
true,
true,
true
],
[
true,
true
]
] | [
[
"The language model's answer of 660 is correct because the multiplication of 12 and 55 equals 660. The calculation can be verified by performing the multiplication step by step: 12 multiplied by 55 can be broken down as (12 x 50) + (12 x 5) = 600 + 60 = 660."
],
[
"The language model's answer of 660 i... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\( 12 \\times 55 \\), we break it down into simpler steps.\n\n1. **Break down the multiplication:**\n \\[\n12 \\times 55 = 12 \\times (50 + 5)\n\\]\n\n2. **Apply the distributive property:**\n \\[\n12 \\times (50 + 5) = 12 \\times 50 + 12 \\times 5\n\\]\n\n3. **Multip... | [
"660",
"660",
"660",
"660",
"660",
"660"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 660\nWas Correct: True\nTarget: 660",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\( 12 \\times 55 \\), we break it down into simpler steps.\n\n1. **Break down the multiplication:**\n \\[\n12 \\... |
13 | {"question": "What is the solution to the long multiplication equation below?\n\n16 x 83\n\nThink step by step.", "solution": "1328", "model_responses": ["When working on the long multiplication problem \\(16 \\times 83\\), you can break it down step by step:\n\n### Step 1: Set up the multiplication as a grid, but we'l... | 1328 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n16 x 83\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["1328"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\( 16 \\times 83 \\), we will break it down into simpler steps.\n\n1. **Break down 83 into tens and ones:**\n \\[\n83 = 80 + 3\n\\]\n\n2. **Write out the multiplication using the broken-down numbers:**\n \\[\n16 \\times 83 = 16 \\times (80 + 3)\... | longmult | To solve the long multiplication equation \( 16 \times 83 \), we will break it down into simpler steps.
1. **Break down 83 into tens and ones:**
\[
83 = 80 + 3
\]
2. **Write out the multiplication using the broken-down numbers:**
\[
16 \times 83 = 16 \times (80 + 3)
\]
\[
= 16 \times 80 + 16 \times 3
\]
3. **M... | 13 | 0 | 1328 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
16 x 83
Thi... | The final answer is determined from the repeated conclusion in the model's output, which consistently states that the solution to the multiplication of 16 and 83 is 1328. | gpt-4o-mini | 0 | true | The language model's answer of 1328 matches the correct answer provided. The multiplication of 16 and 83 can be calculated as follows: 16 x 83 = 1328. Therefore, the language model's answer is correct. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"1328",
"1328",
"1328",
"1328",
"1328"
],
[
"1328"
],
[
"1328",
"1328"
],
[
"1328",
"1328"
],
[
"1324",
"1328"
],
[
"1328"
]
] | [
[
true,
true,
true,
true,
true
],
[
true
],
[
true,
true
],
[
true,
true
],
[
false,
true
],
[
true
]
] | [
[
"The language model's answer of 1328 matches the correct answer provided. The multiplication of 16 and 83 can be calculated as follows: 16 x 83 = 1328. Therefore, the language model's answer is correct.",
"The language model's answer of 1328 matches the correct answer provided. The multiplication of 16 an... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\( 16 \\times 83 \\), we will break it down into simpler steps.\n\n1. **Break down 83 into tens and ones:**\n \\[\n83 = 80 + 3\n\\]\n\n2. **Write out the multiplication using the broken-down numbers:**\n \\[\n16 \\times 83 = 16 \\times (80 + 3)\n\\]\n\\[\n= 16 \\times... | [
"1328",
"1328",
"1328",
"1328",
"1328",
"1328"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 1328\nWas Correct: True\nTarget: 1328",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\( 16 \\times 83 \\), we will break it down into simpler steps.\n\n1. **Break down 83 into tens and ones:**\n ... |
14 | {"question": "What is the solution to the long multiplication equation below?\n\n62 x 80\n\nThink step by step.", "solution": "4960", "model_responses": ["To solve $62 \\times 80$, we break it down into simpler parts:\n\nStep 1: First, we can think of 80 as 8 tens:\nSee the multiplication:\n$$\n62 \\times 80 = 62 \\tim... | 4960 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n62 x 80\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 0 | ["640"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation 62 x 80, we will break it down into simpler steps.\n\n1. **Break down the numbers:**\n - 62 can be broken down into 60 + 2.\n - 80 is already a simple number.\n\n2. **Multiply 60 by 80:**\n - \\( 60 \\times 80 \\)\n - \\( 60 \\times 80 = 60 \... | longmult | To solve the long multiplication equation 62 x 80, we will break it down into simpler steps.
1. **Break down the numbers:**
- 62 can be broken down into 60 + 2.
- 80 is already a simple number.
2. **Multiply 60 by 80:**
- \( 60 \times 80 \)
- \( 60 \times 80 = 60 \times (8 \times 10) = (60 \times 8) \time... | 14 | 0 | 4960 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
62 x 80
Thi... | The model consistently arrives at the final answer of 4960 through various methods of calculation, including breaking down the multiplication and using the distributive property. The answer is boxed in the output, indicating it is the final result. | gpt-4o-mini | 0 | true | The language model's answer of 4960 is correct because when you multiply 62 by 80, you perform the calculation as follows: 62 x 80 = 4960. Therefore, the final answer matches the correct answer. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"4960",
"640",
"4960",
"4960",
"4960"
],
[
"4960",
"4960"
],
[
"4960"
],
[
"4960"
],
[
"4960"
],
[
"640"
]
] | [
[
true,
false,
true,
true,
true
],
[
true,
true
],
[
true
],
[
true
],
[
true
],
[
false
]
] | [
[
"The language model's answer of 4960 is correct because when you multiply 62 by 80, you perform the calculation as follows: 62 x 80 = 4960. Therefore, the final answer matches the correct answer.",
"The language model's answer of 640 is incorrect because it does not accurately reflect the multiplication o... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation 62 x 80, we will break it down into simpler steps.\n\n1. **Break down the numbers:**\n - 62 can be broken down into 60 + 2.\n - 80 is already a simple number.\n\n2. **Multiply 60 by 80:**\n - \\( 60 \\times 80 \\)\n - \\( 60 \\times 80 = 60 \\times (8 \\times 10) =... | [
"4960",
"4960",
"4960",
"4960",
"4960",
"640"
] | [
true,
true,
true,
true,
true,
false
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 4960\nWas Correct: True\nTarget: 4960",
"role": "user"
},
{
"content": "To solve the long multiplication equation 62 x 80, we will break it down into simpler steps.\n\n1. **Break down the numbers:**\n - 62 can be broken down ... |
15 | {"question": "What is the solution to the long multiplication equation below?\n\n80 x 62\n\nThink step by step.", "solution": "4960", "model_responses": ["Let's approach this step-by-step:\n\n1) First, let's multiply 80 by each digit in 62.\n\n2) We'll start with the units digit: \n 80 x 2 = 160\n\n3) Then we'll move... | 4960 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n80 x 62\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["4960"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\( 80 \\times 62 \\), follow these steps:\n\n1. **Break down the multiplication:**\n - First, multiply 80 by 2.\n - Then, multiply 80 by 60 (since 62 is 60 + 2).\n\n2. **Multiply 80 by 2:**\n \\[\n80 \\times 2 = 160\n\\]\n\n3. **Multiply 80 by... | longmult | To solve the long multiplication equation \( 80 \times 62 \), follow these steps:
1. **Break down the multiplication:**
- First, multiply 80 by 2.
- Then, multiply 80 by 60 (since 62 is 60 + 2).
2. **Multiply 80 by 2:**
\[
80 \times 2 = 160
\]
3. **Multiply 80 by 60:**
\[
80 \times 60 = 80 \times (6 \tim... | 15 | 0 | 4960 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
80 x 62
Thi... | The final answer is consistently stated as 4960 in multiple parts of the response, confirming the correctness of the calculation for the multiplication of 80 and 62. | gpt-4o-mini | 0 | true | The language model's answer of 4960 is correct because the multiplication of 80 and 62 can be calculated as follows: 80 x 62 = 4960. This matches the correct answer provided. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"4960",
"4960",
"4960",
"4960"
],
[
"4960"
],
[
"4960"
],
[
"4960"
],
[
"4960"
],
[
"4960"
]
] | [
[
true,
true,
true,
true
],
[
true
],
[
true
],
[
true
],
[
true
],
[
true
]
] | [
[
"The language model's answer of 4960 is correct because the multiplication of 80 and 62 can be calculated as follows: 80 x 62 = 4960. This matches the correct answer provided.",
"The language model's answer of 4960 is correct because the multiplication of 80 and 62 indeed equals 4960. The calculation can ... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\( 80 \\times 62 \\), follow these steps:\n\n1. **Break down the multiplication:**\n - First, multiply 80 by 2.\n - Then, multiply 80 by 60 (since 62 is 60 + 2).\n\n2. **Multiply 80 by 2:**\n \\[\n80 \\times 2 = 160\n\\]\n\n3. **Multiply 80 by 60:**\n \\[\n80 \\ti... | [
"4960",
"4960",
"4960",
"4960",
"4960",
"4960"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 4960\nWas Correct: True\nTarget: 4960",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\( 80 \\times 62 \\), follow these steps:\n\n1. **Break down the multiplication:**\n - First, multiply 80 by 2... |
16 | {"question": "What is the solution to the long multiplication equation below?\n\n80 x 62\n\nThink step by step.", "solution": "4960", "model_responses": ["Let's approach this step-by-step:\n\n1) First, let's multiply 80 by each digit in 62.\n\n2) We'll start with the units digit: \n 80 x 2 = 160\n\n3) Then we'll move... | 4960 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n80 x 62\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["4960"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\( 80 \\times 62 \\), follow these steps:\n\n1. **Break down the multiplication:**\n - First, multiply 80 by 2.\n - Then, multiply 80 by 60 (since 62 is 60 + 2).\n\n2. **Multiply 80 by 2:**\n \\[\n80 \\times 2 = 160\n\\]\n\n3. **Multiply 80 by... | longmult | To solve the long multiplication equation \( 80 \times 62 \), follow these steps:
1. **Break down the multiplication:**
- First, multiply 80 by 2.
- Then, multiply 80 by 60 (since 62 is 60 + 2).
2. **Multiply 80 by 2:**
\[
80 \times 2 = 160
\]
3. **Multiply 80 by 60:**
\[
80 \times 60 = 80 \times (6 \tim... | 16 | 0 | 4960 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
80 x 62
Thi... | The final answer is consistently stated as 4960 in multiple parts of the response, confirming its correctness through repeated calculations. | gpt-4o-mini | 0 | true | The language model's answer of 4960 is correct because the multiplication of 80 and 62 indeed equals 4960. The calculation can be verified by performing the multiplication step by step: 80 x 62 = 80 x (60 + 2) = (80 x 60) + (80 x 2) = 4800 + 160 = 4960. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"4960",
"4960",
"4960",
"4960"
],
[
"4960"
],
[
"4960"
],
[
"4960"
],
[
"4960"
],
[
"4960",
"4960"
]
] | [
[
true,
true,
true,
true
],
[
true
],
[
true
],
[
true
],
[
true
],
[
true,
true
]
] | [
[
"The language model's answer of 4960 is correct because the multiplication of 80 and 62 indeed equals 4960. The calculation can be verified by performing the multiplication step by step: 80 x 62 = 80 x (60 + 2) = (80 x 60) + (80 x 2) = 4800 + 160 = 4960.",
"The language model's answer of 4960 is correct b... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\( 80 \\times 62 \\), follow these steps:\n\n1. **Break down the multiplication:**\n - First, multiply 80 by 2.\n - Then, multiply 80 by 60 (since 62 is 60 + 2).\n\n2. **Multiply 80 by 2:**\n \\[\n80 \\times 2 = 160\n\\]\n\n3. **Multiply 80 by 60:**\n \\[\n80 \\ti... | [
"4960",
"4960",
"4960",
"4960",
"4960",
"4960"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 4960\nWas Correct: True\nTarget: 4960",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\( 80 \\times 62 \\), follow these steps:\n\n1. **Break down the multiplication:**\n - First, multiply 80 by 2... |
17 | {"question": "What is the solution to the long multiplication equation below?\n\n94 x 53\n\nThink step by step.", "solution": "4982", "model_responses": ["Let's break down the long multiplication step by step:\n\n### Step 1:\n1. multiply the units digit of the first number (4) by the ones digit of the second number (3)... | 4982 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n94 x 53\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["4982"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["Step 1: Break down the multiplication into smaller, more manageable problems\n94 x 53 = (94 x 50) + (94 x 3)\n\nStep 2: Calculate 94 x 50\n94 x 50 = 4700 (because 94 x 5 = 470)\n\nStep 3: Calculate 94 x 3\n94 x 3 = 282 (because 94 x 3 = 282)\n\nStep 4: Add the results of step 2 and step 3\n4... | longmult | Step 1: Break down the multiplication into smaller, more manageable problems
94 x 53 = (94 x 50) + (94 x 3)
Step 2: Calculate 94 x 50
94 x 50 = 4700 (because 94 x 5 = 470)
Step 3: Calculate 94 x 3
94 x 3 = 282 (because 94 x 3 = 282)
Step 4: Add the results of step 2 and step 3
4700 + 282 = 4982
So, the solution to ... | 17 | 0 | 4982 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
94 x 53
Thi... | The final answer is determined from the repeated conclusion in the model's output, which consistently states that the solution to the multiplication of 94 and 53 is 4982. | gpt-4o-mini | 0 | true | The language model's answer of 4982 matches the correct answer for the multiplication of 94 and 53. Therefore, the answer is correct. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"4982",
"4982",
"5122",
"4982",
"4982"
],
[
"4982",
"4982"
],
[
"4982"
],
[
"4982"
],
[
"4982"
],
[
"752",
"4982",
"4982"
]
] | [
[
true,
true,
false,
true,
true
],
[
true,
true
],
[
true
],
[
true
],
[
true
],
[
false,
true,
true
]
] | [
[
"The language model's answer of 4982 matches the correct answer for the multiplication of 94 and 53. Therefore, the answer is correct.",
"The language model's answer of 4982 matches the correct answer provided. The multiplication of 94 and 53 can be calculated as follows: 94 x 53 = 4982. Therefore, the la... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"Step 1: Break down the multiplication into smaller, more manageable problems\n94 x 53 = (94 x 50) + (94 x 3)\n\nStep 2: Calculate 94 x 50\n94 x 50 = 4700 (because 94 x 5 = 470)\n\nStep 3: Calculate 94 x 3\n94 x 3 = 282 (because 94 x 3 = 282)\n\nStep 4: Add the results of step 2 and step 3\n4700 + 282 = 4982\n\nSo,... | [
"4982",
"4982",
"4982",
"4982",
"4982",
"4982"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 4982\nWas Correct: True\nTarget: 4982",
"role": "user"
},
{
"content": "Step 1: Break down the multiplication into smaller, more manageable problems\n94 x 53 = (94 x 50) + (94 x 3)\n\nStep 2: Calculate 94 x 50\n94 x 50 = 4700 (... |
18 | {"question": "What is the solution to the long multiplication equation below?\n\n53 x 94\n\nThink step by step.", "solution": "4982", "model_responses": ["1. Multiply the units digit (the rightmost digits) of both numbers: 3 x 4.\n2. Multiply the tens digits of both numbers: 3 x 9 (multiply by 10) and 30 x 9 (multiply ... | 4982 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n53 x 94\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["4982"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\( 53 \\times 94 \\), we will break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n94 = 90 + 4\n\\]\n\n2. **Write out the multiplication as a sum of products of the break down:**\n \\[\n53 \\times 94 = 53 \\times (90 + 4)\n... | longmult | To solve the long multiplication equation \( 53 \times 94 \), we will break it down into simpler steps.
1. **Break down the numbers:**
\[
94 = 90 + 4
\]
2. **Write out the multiplication as a sum of products of the break down:**
\[
53 \times 94 = 53 \times (90 + 4)
\]
\[
= 53 \times 90 + 53 \times 4
\]
3. **Mu... | 18 | 0 | 4982 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
53 x 94
Thi... | The final answer is determined from the repeated conclusion in the model's output, which consistently states that the solution to the multiplication of 53 and 94 is 4982. | gpt-4o-mini | 0 | true | The language model's answer of 4982 matches the correct answer provided. The multiplication of 53 and 94 can be verified by performing the calculation step by step, which confirms that the result is indeed 4982. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"4982",
"4982",
"4982",
"6350",
"4982"
],
[
"4982"
],
[
"4982"
],
[
"4982"
],
[
"4982"
],
[
"4972",
"4972"
]
] | [
[
true,
true,
true,
false,
true
],
[
true
],
[
true
],
[
true
],
[
true
],
[
false,
false
]
] | [
[
"The language model's answer of 4982 matches the correct answer provided. The multiplication of 53 and 94 can be verified by performing the calculation step by step, which confirms that the result is indeed 4982.",
"The language model's answer of 4982 matches the correct answer provided. The multiplicatio... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\( 53 \\times 94 \\), we will break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n94 = 90 + 4\n\\]\n\n2. **Write out the multiplication as a sum of products of the break down:**\n \\[\n53 \\times 94 = 53 \\times (90 + 4)\n\\]\n\\[\n= 53 \\times ... | [
"4982",
"4982",
"4982",
"4982",
"4982",
"4972"
] | [
true,
true,
true,
true,
true,
false
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 4982\nWas Correct: True\nTarget: 4982",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\( 53 \\times 94 \\), we will break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n94 = ... |
19 | {"question": "What is the solution to the long multiplication equation below?\n\n70 x 33\n\nThink step by step.", "solution": "2310", "model_responses": ["To solve the long multiplication equation \\(70 \\times 33\\), you can break it down into simpler steps by first multiplying 70 by 30 and then adding the product of ... | 2310 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n70 x 33\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["2310"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\( 70 \\times 33 \\), we will break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n70 \\times 33 = (70 \\times 3) + (70 \\times 30)\n\\]\n\n2. **Calculate \\( 70 \\times 3 \\):**\n \\[\n70 \\times 3 = 210\n\\]\n\n3. **Calcu... | longmult | To solve the long multiplication equation \( 70 \times 33 \), we will break it down into simpler steps.
1. **Break down the numbers:**
\[
70 \times 33 = (70 \times 3) + (70 \times 30)
\]
2. **Calculate \( 70 \times 3 \):**
\[
70 \times 3 = 210
\]
3. **Calculate \( 70 \times 30 \):**
\[
70 \times 30 = 2100
\... | 19 | 0 | 2310 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
70 x 33
Thi... | The final answer is found in the repeated conclusion of the model's output, which states that the solution to the long multiplication equation 70 x 33 is boxed as 2310. | gpt-4o-mini | 0 | true | The language model's answer of 2310 is correct because when you multiply 70 by 33, the calculation is as follows: 70 x 33 = 2310. Therefore, the final answer matches the correct answer. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"2310",
"2310",
"2310",
"2310"
],
[
"2310",
"2310"
],
[
"2310"
],
[
"2310",
"2310"
],
[
"2310"
],
[
"2310"
]
] | [
[
true,
true,
true,
true
],
[
true,
true
],
[
true
],
[
true,
true
],
[
true
],
[
true
]
] | [
[
"The language model's answer of 2310 is correct because when you multiply 70 by 33, the calculation is as follows: 70 x 33 = 2310. Therefore, the final answer matches the correct answer.",
"The language model's answer of 2310 is correct because when you multiply 70 by 33, the calculation is as follows: 70... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\( 70 \\times 33 \\), we will break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n70 \\times 33 = (70 \\times 3) + (70 \\times 30)\n\\]\n\n2. **Calculate \\( 70 \\times 3 \\):**\n \\[\n70 \\times 3 = 210\n\\]\n\n3. **Calculate \\( 70 \\times 30 ... | [
"2310",
"2310",
"2310",
"2310",
"2310",
"2310"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 2310\nWas Correct: True\nTarget: 2310",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\( 70 \\times 33 \\), we will break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n70 \\... |
20 | {"question": "What is the solution to the long multiplication equation below?\n\n35 x 94\n\nThink step by step.", "solution": "3290", "model_responses": ["To solve the multiplication problem \\(35 \\times 94\\), you can use the standard long multiplication method or break it down into simpler steps:\n\n### Long Multipl... | 3290 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n35 x 94\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["3290"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["Step 1: Break down the multiplication into smaller, more manageable problems\n35 x 94 = (35 x 90) + (35 x 4)\n\nStep 2: Multiply 35 by 90\n35 x 90 = 35 x (9 x 10) = (35 x 9) x 10 = 315 x 10 = 3150\n\nStep 3: Multiply 35 by 4\n35 x 4 = 140\n\nStep 4: Add the results of steps 2 and 3\n3150 + 1... | longmult | Step 1: Break down the multiplication into smaller, more manageable problems
35 x 94 = (35 x 90) + (35 x 4)
Step 2: Multiply 35 by 90
35 x 90 = 35 x (9 x 10) = (35 x 9) x 10 = 315 x 10 = 3150
Step 3: Multiply 35 by 4
35 x 4 = 140
Step 4: Add the results of steps 2 and 3
3150 + 140 = 3290
Therefore, the solution to ... | 20 | 0 | 3290 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
35 x 94
Thi... | The final answer is determined from the repeated conclusion in the model's output, which states that the solution to the long multiplication equation 35 x 94 is 3290. | gpt-4o-mini | 0 | true | The language model's answer of 3290 matches the correct answer provided. The multiplication of 35 and 94 is indeed 3290, confirming that the language model's response is accurate. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"3290",
"3290",
"3290",
"3290"
],
[
"3290"
],
[
"3290"
],
[
"3290",
"3290"
],
[
"3290"
],
[
"3290",
"3290"
]
] | [
[
true,
true,
true,
true
],
[
true
],
[
true
],
[
true,
true
],
[
true
],
[
true,
true
]
] | [
[
"The language model's answer of 3290 matches the correct answer provided. The multiplication of 35 and 94 is indeed 3290, confirming that the language model's response is accurate.",
"The language model's answer of 3290 matches the correct answer provided. The multiplication of 35 and 94 can be calculated... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"Step 1: Break down the multiplication into smaller, more manageable problems\n35 x 94 = (35 x 90) + (35 x 4)\n\nStep 2: Multiply 35 by 90\n35 x 90 = 35 x (9 x 10) = (35 x 9) x 10 = 315 x 10 = 3150\n\nStep 3: Multiply 35 by 4\n35 x 4 = 140\n\nStep 4: Add the results of steps 2 and 3\n3150 + 140 = 3290\n\nTherefore,... | [
"3290",
"3290",
"3290",
"3290",
"3290",
"3290"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 3290\nWas Correct: True\nTarget: 3290",
"role": "user"
},
{
"content": "Step 1: Break down the multiplication into smaller, more manageable problems\n35 x 94 = (35 x 90) + (35 x 4)\n\nStep 2: Multiply 35 by 90\n35 x 90 = 35 x (... |
21 | {"question": "What is the solution to the long multiplication equation below?\n\n46 x 85\n\nThink step by step.", "solution": "3910", "model_responses": ["To solve the multiplication problem \\( 46 \\times 85 \\) by long multiplication, we follow these steps:\n\n1. **Set up the multiplication:** Write the numbers so th... | 3910 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n46 x 85\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["3910"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["Step 1: Break down the multiplication into smaller, more manageable problems\n46 x 85 = (46 x 80) + (46 x 5)\n\nStep 2: Calculate 46 x 80\n46 x 80 = 3680\n\nStep 3: Calculate 46 x 5\n46 x 5 = 230\n\nStep 4: Add the results of steps 2 and 3\n3680 + 230 = 3910\n\nStep 5: Verify the solution by... | longmult | Step 1: Break down the multiplication into smaller, more manageable problems
46 x 85 = (46 x 80) + (46 x 5)
Step 2: Calculate 46 x 80
46 x 80 = 3680
Step 3: Calculate 46 x 5
46 x 5 = 230
Step 4: Add the results of steps 2 and 3
3680 + 230 = 3910
Step 5: Verify the solution by long multiplication
Let's break down th... | 21 | 0 | 3910 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
46 x 85
Thi... | The final answer is determined from the repeated conclusion in the model's output that the solution to the multiplication of 46 and 85 is 3910, confirmed through multiple methods of calculation. | gpt-4o-mini | 0 | true | The language model's answer of 3910 matches the correct answer provided. The multiplication of 46 and 85 is indeed 3910, confirming that the language model's response is accurate. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"3910",
"3910",
"3910",
"3910"
],
[
"3910"
],
[
"3910",
"3910"
],
[
"3910"
],
[
"3910"
],
[
"3910",
"3910"
]
] | [
[
true,
true,
true,
true
],
[
true
],
[
true,
true
],
[
true
],
[
true
],
[
true,
true
]
] | [
[
"The language model's answer of 3910 matches the correct answer provided. The multiplication of 46 and 85 is indeed 3910, confirming that the language model's response is accurate.",
"The language model's answer of 3910 matches the correct answer provided. The multiplication of 46 and 85 is indeed 3910, c... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"Step 1: Break down the multiplication into smaller, more manageable problems\n46 x 85 = (46 x 80) + (46 x 5)\n\nStep 2: Calculate 46 x 80\n46 x 80 = 3680\n\nStep 3: Calculate 46 x 5\n46 x 5 = 230\n\nStep 4: Add the results of steps 2 and 3\n3680 + 230 = 3910\n\nStep 5: Verify the solution by long multiplication\nL... | [
"3910",
"3910",
"3910",
"3910",
"3910",
"3910"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 3910\nWas Correct: True\nTarget: 3910",
"role": "user"
},
{
"content": "Step 1: Break down the multiplication into smaller, more manageable problems\n46 x 85 = (46 x 80) + (46 x 5)\n\nStep 2: Calculate 46 x 80\n46 x 80 = 3680\n... |
22 | {"question": "What is the solution to the long multiplication equation below?\n\n97 x 16\n\nThink step by step.", "solution": "1552", "model_responses": ["To solve the long multiplication problem of 97 x 16, we can break the multiplication into smaller steps.\n\nStarting from the right, multiply 97 by 6:\n\n97 x 6 = 58... | 1552 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n97 x 16\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["1552"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\( 97 \\times 16 \\), we will break it down into simpler steps.\n\n1. **Break down 16 into tens and ones:**\n \\[\n16 = 10 + 6\n\\]\n\n2. **Write out the multiplication as a distributive property:**\n\\[\n97 \\times 16 = 97 \\times (10 + 6)\n\\]\n... | longmult | To solve the long multiplication equation \( 97 \times 16 \), we will break it down into simpler steps.
1. **Break down 16 into tens and ones:**
\[
16 = 10 + 6
\]
2. **Write out the multiplication as a distributive property:**
\[
97 \times 16 = 97 \times (10 + 6)
\]
\[
= 97 \times 10 + 97 \times 6
\]
3. **Multipl... | 22 | 0 | 1552 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
97 x 16
Thi... | The final answer is consistently stated as the boxed value in the output, which is 1552. This value is derived from the calculations shown in the steps of the long multiplication process. | gpt-4o-mini | 0 | true | The language model's answer of 1552 matches the correct answer provided. The multiplication of 97 by 16 can be calculated as follows: 97 x 16 = 1552. Therefore, the language model's answer is correct. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"1552",
"1552",
"1552",
"1552",
"1552"
],
[
"1552"
],
[
"1552",
"1552"
],
[
"1552",
"1552",
"1552"
],
[
"1552"
],
[
"1552"
]
] | [
[
true,
true,
true,
true,
true
],
[
true
],
[
true,
true
],
[
true,
true,
true
],
[
true
],
[
true
]
] | [
[
"The language model's answer of 1552 matches the correct answer provided. The multiplication of 97 by 16 can be calculated as follows: 97 x 16 = 1552. Therefore, the language model's answer is correct.",
"The language model's answer of 1552 matches the correct answer provided. The multiplication of 97 by ... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\( 97 \\times 16 \\), we will break it down into simpler steps.\n\n1. **Break down 16 into tens and ones:**\n \\[\n16 = 10 + 6\n\\]\n\n2. **Write out the multiplication as a distributive property:**\n\\[\n97 \\times 16 = 97 \\times (10 + 6)\n\\]\n\\[\n= 97 \\times 10 + ... | [
"1552",
"1552",
"1552",
"1552",
"1552",
"1552"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 1552\nWas Correct: True\nTarget: 1552",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\( 97 \\times 16 \\), we will break it down into simpler steps.\n\n1. **Break down 16 into tens and ones:**\n ... |
23 | {"question": "What is the solution to the long multiplication equation below?\n\n16 x 91\n\nThink step by step.", "solution": "1456", "model_responses": ["To solve the multiplication problem 16 x 91, consider it as:\n$$\n16 \\times 91\n$$\n\n**Step 1:** As a strategy for solving this multiplication, break the problem i... | 1456 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n16 x 91\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["1456"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\(16 \\times 91\\), we will break it down into simpler steps.\n\n1. **Break down 91**: Notice that 91 can be written as \\(90 + 1\\).\n\n2. **Apply the distributive property**: Use the distributive property of multiplication over addition.\n\n \\[... | longmult | To solve the long multiplication equation \(16 \times 91\), we will break it down into simpler steps.
1. **Break down 91**: Notice that 91 can be written as \(90 + 1\).
2. **Apply the distributive property**: Use the distributive property of multiplication over addition.
\[
16 \times 91 = 16 \times (90 + 1)
\]
3... | 23 | 0 | 1456 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
16 x 91
Thi... | The final answer is determined from the last part of the model's output where it states, 'Therefore, the solution to the long multiplication equation 16 x 91 is \( \boxed{1456} \).' This indicates that the final answer to the multiplication problem is 1456. | gpt-4o-mini | 0 | true | The language model's answer of 1456 is correct because the multiplication of 16 and 91 indeed equals 1456. This can be verified by performing the multiplication step by step: 16 multiplied by 91 can be calculated as (16 x 90) + (16 x 1) = 1440 + 16 = 1456. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"1456",
"160",
"160",
"1456"
],
[
"1456"
],
[
"1000"
],
[
"1456"
],
[
"1456",
"1456"
],
[
"1456"
]
] | [
[
true,
false,
false,
true
],
[
true
],
[
false
],
[
true
],
[
true,
true
],
[
true
]
] | [
[
"The language model's answer of 1456 is correct because the multiplication of 16 and 91 indeed equals 1456. This can be verified by performing the multiplication step by step: 16 multiplied by 91 can be calculated as (16 x 90) + (16 x 1) = 1440 + 16 = 1456.",
"The language model's answer of 160 is incorre... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\(16 \\times 91\\), we will break it down into simpler steps.\n\n1. **Break down 91**: Notice that 91 can be written as \\(90 + 1\\).\n\n2. **Apply the distributive property**: Use the distributive property of multiplication over addition.\n\n \\[\n16 \\times 91 = 16 \\... | [
"1456",
"1456",
"1000",
"1456",
"1456",
"1456"
] | [
true,
true,
false,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 1456\nWas Correct: True\nTarget: 1456",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\(16 \\times 91\\), we will break it down into simpler steps.\n\n1. **Break down 91**: Notice that 91 can be wri... |
25 | {"question": "What is the solution to the long multiplication equation below?\n\n25 x 46\n\nThink step by step.", "solution": "1150", "model_responses": ["To solve \\( 25 \\times 46 \\) using long multiplication, we can follow the steps below:\n\n1. Break down the multiplication problem into smaller, easier parts.\n\n2... | 1150 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n25 x 46\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["1150"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["Step 1: Break down the multiplication into smaller, more manageable problems\n25 x 46 = (25 x 40) + (25 x 6)\n\nStep 2: Calculate 25 x 40\n25 x 40 = 1000 (because 25 x 4 = 100, then add a zero to get 1000)\n\nStep 3: Calculate 25 x 6\n25 x 6 = 150 (because 25 x 6 = 150)\n\nStep 4: Add the re... | longmult | Step 1: Break down the multiplication into smaller, more manageable problems
25 x 46 = (25 x 40) + (25 x 6)
Step 2: Calculate 25 x 40
25 x 40 = 1000 (because 25 x 4 = 100, then add a zero to get 1000)
Step 3: Calculate 25 x 6
25 x 6 = 150 (because 25 x 6 = 150)
Step 4: Add the results of step 2 and step 3
1000 + 150... | 25 | 0 | 1150 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
25 x 46
Thi... | The final answer is determined from the repeated conclusion in the model's output that the solution to the multiplication of 25 and 46 is 1150, confirmed through multiple methods of calculation. | gpt-4o-mini | 0 | true | The language model's answer of 1150 is correct because the multiplication of 25 and 46 indeed equals 1150. The calculation can be verified by performing the multiplication step by step: 25 multiplied by 6 equals 150, and 25 multiplied by 40 equals 1000. Adding these two results together (150 + 1000) gives 1150. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"1150",
"1150",
"1150",
"1150"
],
[
"1150"
],
[
"1150"
],
[
"1150"
],
[
"1150"
],
[
"1150"
]
] | [
[
true,
true,
true,
true
],
[
true
],
[
true
],
[
true
],
[
true
],
[
true
]
] | [
[
"The language model's answer of 1150 is correct because the multiplication of 25 and 46 indeed equals 1150. The calculation can be verified by performing the multiplication step by step: 25 multiplied by 6 equals 150, and 25 multiplied by 40 equals 1000. Adding these two results together (150 + 1000) gives 11... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"Step 1: Break down the multiplication into smaller, more manageable problems\n25 x 46 = (25 x 40) + (25 x 6)\n\nStep 2: Calculate 25 x 40\n25 x 40 = 1000 (because 25 x 4 = 100, then add a zero to get 1000)\n\nStep 3: Calculate 25 x 6\n25 x 6 = 150 (because 25 x 6 = 150)\n\nStep 4: Add the results of step 2 and ste... | [
"1150",
"1150",
"1150",
"1150",
"1150",
"1150"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 1150\nWas Correct: True\nTarget: 1150",
"role": "user"
},
{
"content": "Step 1: Break down the multiplication into smaller, more manageable problems\n25 x 46 = (25 x 40) + (25 x 6)\n\nStep 2: Calculate 25 x 40\n25 x 40 = 1000 (... |
27 | {"question": "What is the solution to the long multiplication equation below?\n\n28 x 62\n\nThink step by step.", "solution": "1736", "model_responses": ["To solve the long multiplication of 28 and 62, we can break it down into steps. \n\nFirst, let's align the numbers vertically, keeping the tens and units aligned wit... | 1736 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n28 x 62\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 0 | ["1720"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\(28 \\times 62\\), we can break it down into simpler steps.\n\n1. **Break down 62**: We can think of 62 as \\(60 + 2\\).\n\n2. **Multiply 28 by 60**: \n \\[\n28 \\times 60 = 28 \\times (6 \\times 10) = (28 \\times 6) \\times 10\n\\]\nFirst, calcu... | longmult | To solve the long multiplication equation \(28 \times 62\), we can break it down into simpler steps.
1. **Break down 62**: We can think of 62 as \(60 + 2\).
2. **Multiply 28 by 60**:
\[
28 \times 60 = 28 \times (6 \times 10) = (28 \times 6) \times 10
\]
First, calculate \(28 \times 6\):
\[
28 \times 6 = 168
\]
Th... | 27 | 0 | 1736 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
28 x 62
Thi... | The final answer is determined from the repeated calculations and confirmations throughout the response, where the consistent result of the multiplication is stated as 1736. | gpt-4o-mini | 0 | true | The language model's answer of 1736 matches the correct answer provided. Therefore, the answer is correct. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"1736",
"1736",
"1736",
"1720",
"1720"
],
[
"1720"
],
[
"1720"
],
[
"1736",
"1736"
],
[
"1736"
],
[
"1720",
"1736"
]
] | [
[
true,
true,
true,
false,
false
],
[
false
],
[
false
],
[
true,
true
],
[
true
],
[
false,
true
]
] | [
[
"The language model's answer of 1736 matches the correct answer provided. Therefore, the answer is correct.",
"The language model's answer of 1736 matches the correct answer provided. The multiplication of 28 and 62 is indeed 1736, confirming that the language model's response is accurate.",
"The lang... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\(28 \\times 62\\), we can break it down into simpler steps.\n\n1. **Break down 62**: We can think of 62 as \\(60 + 2\\).\n\n2. **Multiply 28 by 60**: \n \\[\n28 \\times 60 = 28 \\times (6 \\times 10) = (28 \\times 6) \\times 10\n\\]\nFirst, calculate \\(28 \\times 6\\)... | [
"1720",
"1720",
"1720",
"1736",
"1736",
"1736"
] | [
false,
false,
false,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 1720\nWas Correct: False\nTarget: 1736",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\(28 \\times 62\\), we can break it down into simpler steps.\n\n1. **Break down 62**: We can think of 62 as \\(... |
28 | {"question": "What is the solution to the long multiplication equation below?\n\n90 x 46\n\nThink step by step.", "solution": "4140", "model_responses": ["To solve the long multiplication problem \\( 90 \\times 46 \\), we proceed step by step:\n\n1. First, let's write down the numbers and align them by place value:\n\n... | 4140 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n90 x 46\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["4140"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\( 90 \\times 46 \\), we will break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n46 = 40 + 6\n\\]\n\n2. **Write out the multiplication as a multiplication problem:**\n \\[\n90 \\times 46 = 90 \\times (40 + 6)\n\\]\n\n3. *... | longmult | To solve the long multiplication equation \( 90 \times 46 \), we will break it down into simpler steps.
1. **Break down the numbers:**
\[
46 = 40 + 6
\]
2. **Write out the multiplication as a multiplication problem:**
\[
90 \times 46 = 90 \times (40 + 6)
\]
3. **Apply the distributive property:**
\[
90 \tim... | 28 | 0 | 4140 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
90 x 46
Thi... | The final answer is determined from the repeated conclusion in the model's output, which states that the solution to the long multiplication equation 90 x 46 is 4140. | gpt-4o-mini | 0 | true | The language model's answer of 4140 matches the correct answer provided. The multiplication of 90 and 46 is calculated as follows: 90 x 46 = 4140. Therefore, the language model's answer is correct. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"4140",
"4140",
"4140",
"4140"
],
[
"4140"
],
[
"4140"
],
[
"4140",
"4140",
"4140"
],
[
"4140",
"4140",
"4140",
"4140",
"4140"
],
[
"4140",
"4140"
]
] | [
[
true,
true,
true,
true
],
[
true
],
[
true
],
[
true,
true,
true
],
[
true,
true,
true,
true,
true
],
[
true,
true
]
] | [
[
"The language model's answer of 4140 matches the correct answer provided. The multiplication of 90 and 46 is calculated as follows: 90 x 46 = 4140. Therefore, the language model's answer is correct.",
"The language model's answer of 4140 matches the correct answer provided. The multiplication of 90 and 46... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\( 90 \\times 46 \\), we will break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n46 = 40 + 6\n\\]\n\n2. **Write out the multiplication as a multiplication problem:**\n \\[\n90 \\times 46 = 90 \\times (40 + 6)\n\\]\n\n3. **Apply the distributive... | [
"4140",
"4140",
"4140",
"4140",
"4140",
"4140"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 4140\nWas Correct: True\nTarget: 4140",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\( 90 \\times 46 \\), we will break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n46 = ... |
29 | {"question": "What is the solution to the long multiplication equation below?\n\n92 x 77\n\nThink step by step.", "solution": "7084", "model_responses": ["To solve $92 \\times 77$, we can use the standard multiplication method for two-digit numbers. Let's break it down step by step:\n\n1. Perform the multiplication as ... | 7084 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n92 x 77\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["7084"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\( 92 \\times 77 \\), we'll break it down into a series of steps similar to long multiplication:\n\n1. **Break down the numbers:**\n \\[\n92 \\times 77 = (90 + 2) \\times (70 + 7)\n\\]\n\n2. **Apply the distributive property:**\n \\[\n(90 \\time... | longmult | To solve the long multiplication equation \( 92 \times 77 \), we'll break it down into a series of steps similar to long multiplication:
1. **Break down the numbers:**
\[
92 \times 77 = (90 + 2) \times (70 + 7)
\]
2. **Apply the distributive property:**
\[
(90 \times 70) + (90 \times 7) + (2 \times 70) + (2 \ti... | 29 | 0 | 7084 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
92 x 77
Thi... | The final answer is found in the repeated conclusion of the model's output, where it states that the solution to the long multiplication equation 92 x 77 is boxed as 7084. | gpt-4o-mini | 0 | true | The language model's answer of 7084 matches the correct answer provided. The multiplication of 92 and 77 is indeed 7084, confirming that the language model's calculation is accurate. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"7084",
"7084",
"7084",
"7084"
],
[
"7084"
],
[
"7034"
],
[
"7034",
"7084",
"7084"
],
[
"7084"
],
[
"7084"
]
] | [
[
true,
true,
true,
true
],
[
true
],
[
false
],
[
false,
true,
true
],
[
true
],
[
true
]
] | [
[
"The language model's answer of 7084 matches the correct answer provided. The multiplication of 92 and 77 is indeed 7084, confirming that the language model's calculation is accurate.",
"The language model's answer of 7084 matches the correct answer provided. The multiplication of 92 and 77 can be calcula... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\( 92 \\times 77 \\), we'll break it down into a series of steps similar to long multiplication:\n\n1. **Break down the numbers:**\n \\[\n92 \\times 77 = (90 + 2) \\times (70 + 7)\n\\]\n\n2. **Apply the distributive property:**\n \\[\n(90 \\times 70) + (90 \\times 7) ... | [
"7084",
"7084",
"7034",
"7084",
"7084",
"7084"
] | [
true,
true,
false,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 7084\nWas Correct: True\nTarget: 7084",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\( 92 \\times 77 \\), we'll break it down into a series of steps similar to long multiplication:\n\n1. **Break d... |
30 | {"question": "What is the solution to the long multiplication equation below?\n\n77 x 92\n\nThink step by step.", "solution": "7084", "model_responses": ["To solve the long multiplication problem \\( 77 \\times 92 \\):\n\n1. **Break it down into simpler parts**:\n - First, multiply 77 by 2:\n \\[\n 77 \\times... | 7084 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n77 x 92\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["7084"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["Step 1: Break down the multiplication into smaller, more manageable problems\n77 x 92 = (77 x 90) + (77 x 2)\n\nStep 2: Calculate 77 x 90\n77 x 90 = 6930 (This can be calculated by multiplying 77 by 9, which gives 693)\n\nStep 3: Calculate 77 x 2\n77 x 2 = 154 (This can be calculated by mult... | longmult | Step 1: Break down the multiplication into smaller, more manageable problems
77 x 92 = (77 x 90) + (77 x 2)
Step 2: Calculate 77 x 90
77 x 90 = 6930 (This can be calculated by multiplying 77 by 9, which gives 693)
Step 3: Calculate 77 x 2
77 x 2 = 154 (This can be calculated by multiplying 77 by 2, which gives 154)
... | 30 | 0 | 7084 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
77 x 92
Thi... | The final answer is determined from the repeated conclusion in the model's output, which states that the solution to the multiplication equation 77 x 92 is 7084. | gpt-4o-mini | 0 | true | The language model's answer of 7084 matches the correct answer provided. The multiplication of 77 and 92 is indeed 7084, confirming that the language model's calculation is accurate. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"7084",
"7084",
"7084",
"7084"
],
[
"7084"
],
[
"7084",
"7084"
],
[
"7,084",
"7,084"
],
[
"7084",
"7084"
],
[
"7084"
]
] | [
[
true,
true,
true,
true
],
[
true
],
[
true,
true
],
[
true,
true
],
[
true,
true
],
[
true
]
] | [
[
"The language model's answer of 7084 matches the correct answer provided. The multiplication of 77 and 92 is indeed 7084, confirming that the language model's calculation is accurate.",
"The language model's answer of 7084 matches the correct answer provided. The multiplication of 77 and 92 can be verifie... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"Step 1: Break down the multiplication into smaller, more manageable problems\n77 x 92 = (77 x 90) + (77 x 2)\n\nStep 2: Calculate 77 x 90\n77 x 90 = 6930 (This can be calculated by multiplying 77 by 9, which gives 693)\n\nStep 3: Calculate 77 x 2\n77 x 2 = 154 (This can be calculated by multiplying 77 by 2, which ... | [
"7084",
"7084",
"7084",
"7,084",
"7084",
"7084"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 7084\nWas Correct: True\nTarget: 7084",
"role": "user"
},
{
"content": "Step 1: Break down the multiplication into smaller, more manageable problems\n77 x 92 = (77 x 90) + (77 x 2)\n\nStep 2: Calculate 77 x 90\n77 x 90 = 6930 (... |
31 | {"question": "What is the solution to the long multiplication equation below?\n\n76 x 73\n\nThink step by step.", "solution": "5548", "model_responses": ["To solve the multiplication equation \\( 76 \\times 73 \\), we can break it down into several steps:\n\n1. **Multiply 76 by 70:**\n - The number 76 can be consider... | 5548 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n76 x 73\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["5548"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\( 76 \\times 73 \\), we can break it down into simpler steps.\n\n1. **Break down the multipliers:**\n \\[\n76 \\times 73 = 76 \\times (70 + 3)\n\\]\n\n2. **Apply the distributive property:**\n \\[\n76 \\times 73 = 76 \\times 70 + 76 \\times 3\n... | longmult | To solve the long multiplication equation \( 76 \times 73 \), we can break it down into simpler steps.
1. **Break down the multipliers:**
\[
76 \times 73 = 76 \times (70 + 3)
\]
2. **Apply the distributive property:**
\[
76 \times 73 = 76 \times 70 + 76 \times 3
\]
3. **Multiply 76 by 70:**
\[
76 \times 70 ... | 31 | 0 | 5548 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
76 x 73
Thi... | The final answer is determined from the repeated calculations in the model's output, which consistently concludes that the product of 76 and 73 is 5548. | gpt-4o-mini | 0 | true | The language model's answer of 5548 matches the correct answer provided. Therefore, it is correct. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"5548",
"5148",
"5548",
"5548",
"5548"
],
[
"5548"
],
[
"5548"
],
[
"5548",
"5548"
],
[
"5548"
],
[
"5548",
"5548"
]
] | [
[
true,
false,
true,
true,
true
],
[
true
],
[
true
],
[
true,
true
],
[
true
],
[
true,
true
]
] | [
[
"The language model's answer of 5548 matches the correct answer provided. Therefore, it is correct.",
"The language model's answer of 5148 is incorrect because the correct multiplication of 76 and 73 is 5548. To verify, we can break down the multiplication: 76 x 73 can be calculated as (70 + 6) x (70 + 3)... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\( 76 \\times 73 \\), we can break it down into simpler steps.\n\n1. **Break down the multipliers:**\n \\[\n76 \\times 73 = 76 \\times (70 + 3)\n\\]\n\n2. **Apply the distributive property:**\n \\[\n76 \\times 73 = 76 \\times 70 + 76 \\times 3\n\\]\n\n3. **Multiply 76... | [
"5548",
"5548",
"5548",
"5548",
"5548",
"5548"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 5548\nWas Correct: True\nTarget: 5548",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\( 76 \\times 73 \\), we can break it down into simpler steps.\n\n1. **Break down the multipliers:**\n \\[\n76... |
32 | {"question": "What is the solution to the long multiplication equation below?\n\n90 x 86\n\nThink step by step.", "solution": "7740", "model_responses": ["To solve the multiplication problem \\( 90 \\times 86 \\), we can break it down into simpler multiplications of numbers much easier to work with. Here is the step-by... | 7740 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n90 x 86\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 0 | ["774"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\( 90 \\times 86 \\), we can break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n86 = 80 + 6\n\\]\n\n2. **Set up the long multiplication:**\n \\[\n\\begin{array}{r}\n 90 \\\\\n\\times 86 \\\\\n\\hline\n\\end{array}\n\\]\n... | longmult | To solve the long multiplication equation \( 90 \times 86 \), we can break it down into simpler steps.
1. **Break down the numbers:**
\[
86 = 80 + 6
\]
2. **Set up the long multiplication:**
\[
\begin{array}{r}
90 \\
\times 86 \\
\hline
\end{array}
\]
3. **Multiply 90 by 6:**
\[
90 \times 6 = 540
\]
4. *... | 32 | 0 | 7740 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
90 x 86
Thi... | The model consistently concludes that the solution to the multiplication of 90 and 86 is 774, despite initially calculating 7740. The final answer is derived from the repeated calculations that correctly apply the distributive property and add the results. | gpt-4o-mini | 0 | true | The language model's answer of 7740 matches the correct answer provided. The multiplication of 90 and 86 is indeed 7740, confirming that the language model's response is accurate. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"7740",
"774",
"774",
"774"
],
[
"774"
],
[
"774"
],
[
"4320",
"7740"
],
[
"7740"
],
[
"774"
]
] | [
[
true,
false,
false,
false
],
[
false
],
[
false
],
[
false,
true
],
[
true
],
[
false
]
] | [
[
"The language model's answer of 7740 matches the correct answer provided. The multiplication of 90 and 86 is indeed 7740, confirming that the language model's response is accurate.",
"The language model's answer of 774 is incorrect because it does not accurately represent the product of 90 and 86. The cor... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\( 90 \\times 86 \\), we can break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n86 = 80 + 6\n\\]\n\n2. **Set up the long multiplication:**\n \\[\n\\begin{array}{r}\n 90 \\\\\n\\times 86 \\\\\n\\hline\n\\end{array}\n\\]\n\n3. **Multiply 90 by 6... | [
"774",
"774",
"774",
"7740",
"7740",
"774"
] | [
false,
false,
false,
true,
true,
false
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 774\nWas Correct: False\nTarget: 7740",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\( 90 \\times 86 \\), we can break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n86 = 8... |
33 | {"question": "What is the solution to the long multiplication equation below?\n\n86 x 90\n\nThink step by step.", "solution": "7740", "model_responses": ["To solve the long multiplication equation 86 x 90, you would first multiply 86 by 0 and write the result (0) in the tens place. Then, you would multiply 86 by 9 and ... | 7740 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n86 x 90\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["7740"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation 86 x 90, we will follow the steps of long multiplication:\n\n1. Multiply 86 by 0:\n 86 x 0 = 0\n This is because any number multiplied by 0 is 0.\n\n2. Multiply 86 by 9:\n 86 x 9 = 774\n We know this because 86 x 9 can be calculated as:\n -... | longmult | To solve the long multiplication equation 86 x 90, we will follow the steps of long multiplication:
1. Multiply 86 by 0:
86 x 0 = 0
This is because any number multiplied by 0 is 0.
2. Multiply 86 by 9:
86 x 9 = 774
We know this because 86 x 9 can be calculated as:
- 86 x 9 = (80 + 6) x 9 = 80 x 9 + 6 x... | 33 | 0 | 7740 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
86 x 90
Thi... | The final answer is determined from the last clear calculation of the multiplication, which states that 86 x 90 = 7740. This is the most consistent and correct answer derived from the calculations presented. | gpt-4o-mini | 0 | true | The language model's answer of 7740 is correct because the multiplication of 86 and 90 indeed equals 7740. The calculation can be verified by performing the multiplication step by step: 86 multiplied by 90 can be broken down as (86 x 9) x 10 = 774 x 10 = 7740. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"7740",
"8100",
"7740",
"77400",
"1634",
"77400"
],
[
"7740"
],
[
"7740"
],
[
"7740"
],
[
"77400"
],
[
"77400"
]
] | [
[
true,
false,
true,
false,
false,
false
],
[
true
],
[
true
],
[
true
],
[
false
],
[
false
]
] | [
[
"The language model's answer of 7740 is correct because the multiplication of 86 and 90 indeed equals 7740. The calculation can be verified by performing the multiplication step by step: 86 multiplied by 90 can be broken down as (86 x 9) x 10 = 774 x 10 = 7740.",
"To solve the multiplication of 86 and 90,... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation 86 x 90, we will follow the steps of long multiplication:\n\n1. Multiply 86 by 0:\n 86 x 0 = 0\n This is because any number multiplied by 0 is 0.\n\n2. Multiply 86 by 9:\n 86 x 9 = 774\n We know this because 86 x 9 can be calculated as:\n - 86 x 9 = (80 + 6) x 9 ... | [
"77400",
"7740",
"7740",
"7740",
"77400",
"77400"
] | [
false,
true,
true,
true,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 77400\nWas Correct: False\nTarget: 7740",
"role": "user"
},
{
"content": "To solve the long multiplication equation 86 x 90, we will follow the steps of long multiplication:\n\n1. Multiply 86 by 0:\n 86 x 0 = 0\n This is be... |
34 | {"question": "What is the solution to the long multiplication equation below?\n\n86 x 90\n\nThink step by step.", "solution": "7740", "model_responses": ["To solve the long multiplication equation 86 x 90, you would first multiply 86 by 0 and write the result (0) in the tens place. Then, you would multiply 86 by 9 and ... | 7740 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n86 x 90\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 0 | ["1634"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation 86 x 90, we will follow the steps of long multiplication:\n\n1. Multiply 86 by 0:\n 86 x 0 = 0\n This is because any number multiplied by 0 is 0.\n\n2. Multiply 86 by 9:\n 86 x 9 = 774\n We know this because 86 x 9 can be calculated as:\n -... | longmult | To solve the long multiplication equation 86 x 90, we will follow the steps of long multiplication:
1. Multiply 86 by 0:
86 x 0 = 0
This is because any number multiplied by 0 is 0.
2. Multiply 86 by 9:
86 x 9 = 774
We know this because 86 x 9 can be calculated as:
- 86 x 9 = (80 + 6) x 9 = 80 x 9 + 6 x... | 34 | 0 | 7740 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
86 x 90
Thi... | The final answer is determined from the last part of the model's output where it states, 'Therefore, the solution to the long multiplication equation 86 x 90 is \( \boxed{7740} \).' This indicates that the model concluded the multiplication with the answer 7740. | gpt-4o-mini | 0 | true | The language model's answer of 7740 is correct because the multiplication of 86 and 90 can be calculated as follows: 86 x 90 = 7740. Therefore, the final answer matches the correct answer. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"7740",
"8100",
"7740",
"77400",
"1634",
"78260"
],
[
"77400"
],
[
"77400"
],
[
"77400"
],
[
"7,740"
],
[
"7740",
"1634"
]
] | [
[
true,
false,
true,
false,
false,
false
],
[
false
],
[
false
],
[
false
],
[
true
],
[
true,
false
]
] | [
[
"The language model's answer of 7740 is correct because the multiplication of 86 and 90 can be calculated as follows: 86 x 90 = 7740. Therefore, the final answer matches the correct answer.",
"To solve the multiplication of 86 and 90, we can break it down step by step. First, we can multiply 86 by 9 (whic... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation 86 x 90, we will follow the steps of long multiplication:\n\n1. Multiply 86 by 0:\n 86 x 0 = 0\n This is because any number multiplied by 0 is 0.\n\n2. Multiply 86 by 9:\n 86 x 9 = 774\n We know this because 86 x 9 can be calculated as:\n - 86 x 9 = (80 + 6) x 9 ... | [
"78260",
"77400",
"77400",
"77400",
"7,740",
"1634"
] | [
false,
false,
false,
false,
true,
false
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 78260\nWas Correct: False\nTarget: 7740",
"role": "user"
},
{
"content": "To solve the long multiplication equation 86 x 90, we will follow the steps of long multiplication:\n\n1. Multiply 86 by 0:\n 86 x 0 = 0\n This is be... |
35 | {"question": "What is the solution to the long multiplication equation below?\n\n27 x 81\n\nThink step by step.", "solution": "2187", "model_responses": ["To solve the multiplication \\(27 \\times 81\\), you can use either the standard algorithm or long multiplication based on place value. Here is a step-by-step soluti... | 2187 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n27 x 81\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 0 | ["243"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\( 27 \\times 81 \\), we'll break it down into simpler steps.\n\n1. **Break down the numbers**: We can express 81 as the sum of two simpler numbers by finding its square root. In this case, \\( 81 = 9 \\times 9 \\).\n\n2. **Use the distributive prop... | longmult | Wait, this result is 243. | 35 | 1 | 243 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
27 x 81
Thi... | The model's output states 'this result is 243', which indicates that the final answer to the multiplication of 27 and 81 is 243. | gpt-4o-mini | 0 | false | The correct multiplication of 27 and 81 is 27 x 81 = 2187. The language model's answer of 243 is incorrect, as it does not reflect the correct product of the two numbers. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"243"
],
[
"2187",
"2187"
],
[
"2187"
],
[
"2187"
],
[
"2187"
]
] | [
[
false
],
[
true,
true
],
[
true
],
[
true
],
[
true
]
] | [
[
"The correct multiplication of 27 and 81 is 27 x 81 = 2187. The language model's answer of 243 is incorrect, as it does not reflect the correct product of the two numbers."
],
[
"The language model's answer of 2187 is indeed the correct solution to the multiplication of 27 and 81. When you multiply 27... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
" Wait, this result is 243.",
" Wait! I can double check this answer. 1. Break down the multiplication into smaller steps.\n\n2. Multiply 27 by 1, then multiply 27 by 80.\n\n3. Add the results of the multiplication from the two steps. \n\n4. Perform the multiplication:\n - 27 x 1 = 27\n - 27 x 80 = 27 x 8 x 1... | [
"243",
"2187",
"2187",
"2187",
"2187"
] | [
false,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 243\nWas Correct: False\nTarget: 2187",
"role": "user"
},
{
"content": " Wait, this result is 243.",
"role": "assistant"
},
{
"content": "BF Attempt 1\n\nEval Type: longmult\nExtracted Answer: 2187\nWas Correct: Tru... |
36 | {"question": "What is the solution to the long multiplication equation below?\n\n81 x 27\n\nThink step by step.", "solution": "2187", "model_responses": ["To solve the long multiplication equation \\(81 \\times 27\\), follow these steps:\n\n1. Break down the multiplication into smaller parts.\n2. Add the results of eac... | 2187 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n81 x 27\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["2187"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["Step 1: Break down the multiplication into smaller, more manageable problems\n81 x 27 = 81 x (20 + 7)\n\nStep 2: Apply the distributive property to the multiplication\n= 81 x 20 + 81 x 7\n\nStep 3: Multiply 81 by 20 and 81 by 7\n= 1620 + 567\n\nStep 4: Add the results of the multiplication\n... | longmult | Step 1: Break down the multiplication into smaller, more manageable problems
81 x 27 = 81 x (20 + 7)
Step 2: Apply the distributive property to the multiplication
= 81 x 20 + 81 x 7
Step 3: Multiply 81 by 20 and 81 by 7
= 1620 + 567
Step 4: Add the results of the multiplication
= 2187
Therefore, the solution to the... | 36 | 0 | 2187 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
81 x 27
Thi... | The final answer is determined from the repeated conclusion in the model's output, which consistently states that the solution to the multiplication of 81 and 27 is 2187. | gpt-4o-mini | 0 | true | The language model's answer of 2187 is correct because the multiplication of 81 and 27 indeed equals 2187. The calculation can be verified by performing the multiplication step by step: 81 multiplied by 27 can be broken down as (80 + 1) multiplied by 27, which results in 80*27 + 1*27 = 2160 + 27 = 2187. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"2187",
"2187",
"2187",
"2187"
],
[
"2187",
"2187"
],
[
"2187"
],
[
"2187"
],
[
"567"
],
[
"2187",
"2188",
"2187"
]
] | [
[
true,
true,
true,
true
],
[
true,
true
],
[
true
],
[
true
],
[
false
],
[
true,
false,
true
]
] | [
[
"The language model's answer of 2187 is correct because the multiplication of 81 and 27 indeed equals 2187. The calculation can be verified by performing the multiplication step by step: 81 multiplied by 27 can be broken down as (80 + 1) multiplied by 27, which results in 80*27 + 1*27 = 2160 + 27 = 2187.",
... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"Step 1: Break down the multiplication into smaller, more manageable problems\n81 x 27 = 81 x (20 + 7)\n\nStep 2: Apply the distributive property to the multiplication\n= 81 x 20 + 81 x 7\n\nStep 3: Multiply 81 by 20 and 81 by 7\n= 1620 + 567\n\nStep 4: Add the results of the multiplication\n= 2187\n\nTherefore, th... | [
"2187",
"2187",
"2187",
"2187",
"567",
"2187"
] | [
true,
true,
true,
true,
false,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 2187\nWas Correct: True\nTarget: 2187",
"role": "user"
},
{
"content": "Step 1: Break down the multiplication into smaller, more manageable problems\n81 x 27 = 81 x (20 + 7)\n\nStep 2: Apply the distributive property to the mul... |
37 | {"question": "What is the solution to the long multiplication equation below?\n\n24 x 87\n\nThink step by step.", "solution": "2088", "model_responses": ["To solve the long multiplication equation 24 x 87,\n\nStep 1: Multiply the units digit of the lower number by the units digit of the upper number.\n1. \\( 7 \\times ... | 2088 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n24 x 87\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["2088"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["Step 1: Break down the multiplication into smaller, more manageable problems\n24 x 87 = (24 x 80) + (24 x 7)\n\nStep 2: Multiply 24 by 80\n24 x 80 = 1920\n\nStep 3: Multiply 24 by 7\n24 x 7 = 168\n\nStep 4: Add the results of the multiplication\n1920 + 168 = 2088\n\nStep 5: Verify the soluti... | longmult | Step 1: Break down the multiplication into smaller, more manageable problems
24 x 87 = (24 x 80) + (24 x 7)
Step 2: Multiply 24 by 80
24 x 80 = 1920
Step 3: Multiply 24 by 7
24 x 7 = 168
Step 4: Add the results of the multiplication
1920 + 168 = 2088
Step 5: Verify the solution by long multiplication or another met... | 37 | 0 | 2088 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
24 x 87
Thi... | The final answer is found in the concluding statement of the model's output, which states that the solution to the long multiplication equation 24 x 87 is 2088. | gpt-4o-mini | 0 | true | The language model's answer of 2088 is correct because the multiplication of 24 and 87 indeed equals 2088. The calculation can be verified by performing the multiplication step by step: 24 multiplied by 87 can be broken down as (20 + 4) multiplied by 87, which results in (20 * 87) + (4 * 87) = 1740 + 348 = 2088. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"2088",
"2088",
"2088",
"2088"
],
[
"2088"
],
[
"2088"
],
[
"2078",
"2078",
"2088"
],
[
"2088",
"2088",
"2088"
],
[
"2088"
]
] | [
[
true,
true,
true,
true
],
[
true
],
[
true
],
[
false,
false,
true
],
[
true,
true,
true
],
[
true
]
] | [
[
"The language model's answer of 2088 is correct because the multiplication of 24 and 87 indeed equals 2088. The calculation can be verified by performing the multiplication step by step: 24 multiplied by 87 can be broken down as (20 + 4) multiplied by 87, which results in (20 * 87) + (4 * 87) = 1740 + 348 = 2... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"Step 1: Break down the multiplication into smaller, more manageable problems\n24 x 87 = (24 x 80) + (24 x 7)\n\nStep 2: Multiply 24 by 80\n24 x 80 = 1920\n\nStep 3: Multiply 24 by 7\n24 x 7 = 168\n\nStep 4: Add the results of the multiplication\n1920 + 168 = 2088\n\nStep 5: Verify the solution by long multiplicati... | [
"2088",
"2088",
"2088",
"2088",
"2088",
"2088"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 2088\nWas Correct: True\nTarget: 2088",
"role": "user"
},
{
"content": "Step 1: Break down the multiplication into smaller, more manageable problems\n24 x 87 = (24 x 80) + (24 x 7)\n\nStep 2: Multiply 24 by 80\n24 x 80 = 1920\n... |
38 | {"question": "What is the solution to the long multiplication equation below?\n\n99 x 98\n\nThink step by step.", "solution": "9702", "model_responses": ["To solve the long multiplication equation 99 x 98, we'll follow these steps:\n\n1. First, we'll write the numbers in expanded form:\n 99 = 90 + 9\n 98 = 90 + 8\n... | 9702 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n99 x 98\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["9702"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve \\( 99 \\times 98 \\), we'll use the distributive property of multiplication over subtraction.\n\n1. Break down 98 into 100 - 2:\n \\[\n 99 \\times 98 = 99 \\times (100 - 2)\n\\]\n\n2. Apply the distributive property:\n \\[\n 99 \\times (100 - 2) = 99 \\times 100 - 99 \\times 2\... | longmult | To solve \( 99 \times 98 \), we'll use the distributive property of multiplication over subtraction.
1. Break down 98 into 100 - 2:
\[
99 \times 98 = 99 \times (100 - 2)
\]
2. Apply the distributive property:
\[
99 \times (100 - 2) = 99 \times 100 - 99 \times 2
\]
3. Multiply 99 by 100:
\[
99 \times 100 ... | 38 | 0 | 9702 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
99 x 98
Thi... | The model consistently arrives at the answer 9702 through multiple methods of calculation, including the distributive property and direct multiplication. The final answer is clearly stated as 9702 in the boxed format. | gpt-4o-mini | 0 | true | The language model's answer of 9702 matches the correct answer provided. The multiplication of 99 and 98 can be calculated as follows: 99 x 98 = 9702. Therefore, the language model's answer is correct. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"9702",
"9702",
"10494",
"9702",
"9702"
],
[
"9702"
],
[
"9702"
],
[
"9702",
"9702"
],
[
"9702"
],
[
"9702",
"9702"
]
] | [
[
true,
true,
false,
true,
true
],
[
true
],
[
true
],
[
true,
true
],
[
true
],
[
true,
true
]
] | [
[
"The language model's answer of 9702 matches the correct answer provided. The multiplication of 99 and 98 can be calculated as follows: 99 x 98 = 9702. Therefore, the language model's answer is correct.",
"The language model's answer of 9702 matches the correct answer for the multiplication of 99 and 98. ... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve \\( 99 \\times 98 \\), we'll use the distributive property of multiplication over subtraction.\n\n1. Break down 98 into 100 - 2:\n \\[\n 99 \\times 98 = 99 \\times (100 - 2)\n\\]\n\n2. Apply the distributive property:\n \\[\n 99 \\times (100 - 2) = 99 \\times 100 - 99 \\times 2\n\\]\n\n3. Multiply 99 ... | [
"9702",
"9702",
"9702",
"9702",
"9702",
"9702"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 9702\nWas Correct: True\nTarget: 9702",
"role": "user"
},
{
"content": "To solve \\( 99 \\times 98 \\), we'll use the distributive property of multiplication over subtraction.\n\n1. Break down 98 into 100 - 2:\n \\[\n 99 \\ti... |
39 | {"question": "What is the solution to the long multiplication equation below?\n\n66 x 85\n\nThink step by step.", "solution": "5610", "model_responses": ["Multiplying a four-digit number like 66 by a number like 85 doesn't reduce to just 5500, because that would simplify calculations irrelevant in this case. \n\nBut, t... | 5610 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n66 x 85\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["5610"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["Step 1: Break down the multiplication into smaller, more manageable problems\n66 x 85 = (66 x 80) + (66 x 5)\n\nStep 2: Calculate 66 x 80\n66 x 80 = 5280 (This can be calculated by multiplying 66 by 8, which gives 528)\n\nStep 3: Calculate 66 x 5\n66 x 5 = 330 (This can be calculated by mult... | longmult | Step 1: Break down the multiplication into smaller, more manageable problems
66 x 85 = (66 x 80) + (66 x 5)
Step 2: Calculate 66 x 80
66 x 80 = 5280 (This can be calculated by multiplying 66 by 8, which gives 528)
Step 3: Calculate 66 x 5
66 x 5 = 330 (This can be calculated by multiplying 66 by 5, which gives 330)
... | 39 | 0 | 5610 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
66 x 85
Thi... | The final answer is consistently stated as 5610 throughout the response, confirming the correctness of the calculations and the breakdown of the multiplication steps. | gpt-4o-mini | 0 | true | The language model's answer of 5610 matches the correct answer provided. The multiplication of 66 and 85 can be calculated as follows: 66 x 85 = 5610. Therefore, the language model's answer is correct. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"5610",
"5610",
"5610",
"5610"
],
[
"5510",
"5510",
"5610"
],
[
"5610",
"5610"
],
[
"5610",
"5610"
],
[
"5610"
],
[
"5610"
]
] | [
[
true,
true,
true,
true
],
[
false,
false,
true
],
[
true,
true
],
[
true,
true
],
[
true
],
[
true
]
] | [
[
"The language model's answer of 5610 matches the correct answer provided. The multiplication of 66 and 85 can be calculated as follows: 66 x 85 = 5610. Therefore, the language model's answer is correct.",
"The language model's answer of 5610 matches the correct answer provided. The multiplication of 66 an... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"Step 1: Break down the multiplication into smaller, more manageable problems\n66 x 85 = (66 x 80) + (66 x 5)\n\nStep 2: Calculate 66 x 80\n66 x 80 = 5280 (This can be calculated by multiplying 66 by 8, which gives 528)\n\nStep 3: Calculate 66 x 5\n66 x 5 = 330 (This can be calculated by multiplying 66 by 5, which ... | [
"5610",
"5610",
"5610",
"5610",
"5610",
"5610"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 5610\nWas Correct: True\nTarget: 5610",
"role": "user"
},
{
"content": "Step 1: Break down the multiplication into smaller, more manageable problems\n66 x 85 = (66 x 80) + (66 x 5)\n\nStep 2: Calculate 66 x 80\n66 x 80 = 5280 (... |
40 | {"question": "What is the solution to the long multiplication equation below?\n\n47 x 13\n\nThink step by step.", "solution": "611", "model_responses": ["To solve \\( 47 \\times 13 \\) step by step, follow these steps:\n\n1. **Break down the multiplication:**\n \\[\n 47 \\times 13 = (40 + 7) \\times 13\n \\]\n ... | 611 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n47 x 13\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["611"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\( 47 \\times 13 \\), we will break it down into simpler steps.\n\n1. **Break down 13 into tens and ones:**\n \\[\n13 = 10 + 3\n\\]\n\n2. **Write out the multiplication as a distributive property:**\n\\[\n47 \\times 13 = 47 \\times (10 + 3)\n\\]\n... | longmult | To solve the long multiplication equation \( 47 \times 13 \), we will break it down into simpler steps.
1. **Break down 13 into tens and ones:**
\[
13 = 10 + 3
\]
2. **Write out the multiplication as a distributive property:**
\[
47 \times 13 = 47 \times (10 + 3)
\]
\[
= 47 \times 10 + 47 \times 3
\]
3. **Multipl... | 40 | 0 | 611 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
47 x 13
Thi... | The final answer is determined from the repeated conclusion in the model's output that the solution to the multiplication of 47 and 13 is 611, which is consistently stated at the end of the explanation. | gpt-4o-mini | 0 | true | The language model's answer of 611 is correct because the multiplication of 47 and 13 indeed equals 611. The calculation can be verified by performing the multiplication step by step: 47 multiplied by 10 is 470, and 47 multiplied by 3 is 141. Adding these two results together (470 + 141) gives 611. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"611",
"611",
"611",
"611"
],
[
"611",
"611"
],
[
"611"
],
[
"611"
],
[
"611"
],
[
"611"
]
] | [
[
true,
true,
true,
true
],
[
true,
true
],
[
true
],
[
true
],
[
true
],
[
true
]
] | [
[
"The language model's answer of 611 is correct because the multiplication of 47 and 13 indeed equals 611. The calculation can be verified by performing the multiplication step by step: 47 multiplied by 10 is 470, and 47 multiplied by 3 is 141. Adding these two results together (470 + 141) gives 611.",
"Th... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\( 47 \\times 13 \\), we will break it down into simpler steps.\n\n1. **Break down 13 into tens and ones:**\n \\[\n13 = 10 + 3\n\\]\n\n2. **Write out the multiplication as a distributive property:**\n\\[\n47 \\times 13 = 47 \\times (10 + 3)\n\\]\n\\[\n= 47 \\times 10 + ... | [
"611",
"611",
"611",
"611",
"611",
"611"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 611\nWas Correct: True\nTarget: 611",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\( 47 \\times 13 \\), we will break it down into simpler steps.\n\n1. **Break down 13 into tens and ones:**\n \\... |
41 | {"question": "What is the solution to the long multiplication equation below?\n\n77 x 56\n\nThink step by step.", "solution": "4312", "model_responses": ["To solve the long multiplication equation \\(77 \\times 56\\), we'll break it down step by step.\n\nFirst, let's set it up:\n\n```\n 77\n x 56\n _______\n ``... | 4312 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n77 x 56\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["4312"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\( 77 \\times 56 \\), we'll break it down into simpler steps.\n\n**Step 1: Break down the numbers into tens.**\n- \\( 77 \\) can be broken into \\( 70 \\) and \\( 7 \\).\n- \\( 56 \\) can be broken into \\( 50 \\) and \\( 6 \\).\n\n**Step 2: Multipl... | longmult | To solve the long multiplication equation \( 77 \times 56 \), we'll break it down into simpler steps.
**Step 1: Break down the numbers into tens.**
- \( 77 \) can be broken into \( 70 \) and \( 7 \).
- \( 56 \) can be broken into \( 50 \) and \( 6 \).
**Step 2: Multiply each part of the first number by each part of t... | 41 | 0 | 4312 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
77 x 56
Thi... | The final answer is determined from the repeated calculations and confirmations throughout the response, consistently arriving at the value of 4312 for the multiplication of 77 and 56. | gpt-4o-mini | 0 | true | The language model's answer of 4312 matches the correct answer provided. The multiplication of 77 and 56 can be calculated as follows: 77 x 56 = 4312. Therefore, the language model's answer is correct. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"4312",
"4130",
"4312",
"4312",
"4312"
],
[
"4312"
],
[
"4312",
"4312"
],
[
"4312"
],
[
"4312"
],
[
"4312"
]
] | [
[
true,
false,
true,
true,
true
],
[
true
],
[
true,
true
],
[
true
],
[
true
],
[
true
]
] | [
[
"The language model's answer of 4312 matches the correct answer provided. The multiplication of 77 and 56 can be calculated as follows: 77 x 56 = 4312. Therefore, the language model's answer is correct.",
"The language model's answer of 4130 is incorrect because the correct multiplication of 77 and 56 is ... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\( 77 \\times 56 \\), we'll break it down into simpler steps.\n\n**Step 1: Break down the numbers into tens.**\n- \\( 77 \\) can be broken into \\( 70 \\) and \\( 7 \\).\n- \\( 56 \\) can be broken into \\( 50 \\) and \\( 6 \\).\n\n**Step 2: Multiply each part of the firs... | [
"4312",
"4312",
"4312",
"4312",
"4312",
"4312"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 4312\nWas Correct: True\nTarget: 4312",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\( 77 \\times 56 \\), we'll break it down into simpler steps.\n\n**Step 1: Break down the numbers into tens.**\n... |
42 | {"question": "What is the solution to the long multiplication equation below?\n\n29 x 13\n\nThink step by step.", "solution": "377", "model_responses": ["To solve the long multiplication equation \\(29 \\times 13\\), you can break it down into simpler steps by using the distributive property of multiplication over addi... | 377 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n29 x 13\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["377"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\(29 \\times 13\\), we will break it down into simpler steps.\n\n1. **Break down 13**: We can write 13 as \\(10 + 3\\).\n\n2. **Apply the distributive property**: Multiply 29 by each part of 13 separately and then add the results.\n\n \\[\n29 \\ti... | longmult | To solve the long multiplication equation \(29 \times 13\), we will break it down into simpler steps.
1. **Break down 13**: We can write 13 as \(10 + 3\).
2. **Apply the distributive property**: Multiply 29 by each part of 13 separately and then add the results.
\[
29 \times 13 = 29 \times (10 + 3)
\]
Using t... | 42 | 0 | 377 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
29 x 13
Thi... | The final answer is found in the repeated conclusion of the model's output, which states that the solution to the long multiplication equation 29 x 13 is boxed as 377. | gpt-4o-mini | 0 | true | The language model's answer of 377 is correct because the multiplication of 29 and 13 indeed equals 377. The calculation can be verified by performing the multiplication step by step: 29 multiplied by 10 is 290, and 29 multiplied by 3 is 87. Adding these two results together (290 + 87) gives 377. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"377",
"377",
"377",
"377"
],
[
"377"
]
] | [
[
true,
true,
true,
true
],
[
true
]
] | [
[
"The language model's answer of 377 is correct because the multiplication of 29 and 13 indeed equals 377. The calculation can be verified by performing the multiplication step by step: 29 multiplied by 10 is 290, and 29 multiplied by 3 is 87. Adding these two results together (290 + 87) gives 377.",
"The ... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\(29 \\times 13\\), we will break it down into simpler steps.\n\n1. **Break down 13**: We can write 13 as \\(10 + 3\\).\n\n2. **Apply the distributive property**: Multiply 29 by each part of 13 separately and then add the results.\n\n \\[\n29 \\times 13 = 29 \\times (10... | [
"377",
"377"
] | [
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 377\nWas Correct: True\nTarget: 377",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\(29 \\times 13\\), we will break it down into simpler steps.\n\n1. **Break down 13**: We can write 13 as \\(10 + ... |
43 | {"question": "What is the solution to the long multiplication equation below?\n\n98 x 26\n\nThink step by step.", "solution": "2548", "model_responses": ["Step 1: First, we multiply the ones place of the second number by the first number.\n98 x 2 = 196\n\nStep 2: Next, we multiply the tens place of the second number by... | 2548 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n98 x 26\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["2548"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\(98 \\times 26\\), we will break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n98 \\times 26 = (90 + 8) \\times 26\n\\]\n\n2. **Apply the distributive property:**\n \\[\n(90 + 8) \\times 26 = 90 \\times 26 + 8 \\times 26\... | longmult | To solve the long multiplication equation \(98 \times 26\), we will break it down into simpler steps.
1. **Break down the numbers:**
\[
98 \times 26 = (90 + 8) \times 26
\]
2. **Apply the distributive property:**
\[
(90 + 8) \times 26 = 90 \times 26 + 8 \times 26
\]
3. **Multiply 90 by 26:**
\[
90 \times 26... | 43 | 0 | 2548 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
98 x 26
Thi... | The final answer is consistently stated as 2548 throughout the response, confirmed by multiple calculations and breakdowns of the multiplication process. | gpt-4o-mini | 0 | true | The language model's answer of 2548 matches the correct answer provided. The multiplication of 98 and 26 can be calculated as follows: 98 x 26 = 2548. Therefore, the language model's answer is correct. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"2548",
"2548",
"2548",
"2548",
"2548"
],
[
"2548"
],
[
"2548"
],
[
"2548",
"2548",
"2548"
],
[
"2548"
],
[
"2548",
"2548",
"2548",
"2548"
]
] | [
[
true,
true,
true,
true,
true
],
[
true
],
[
true
],
[
true,
true,
true
],
[
true
],
[
true,
true,
true,
true
]
] | [
[
"The language model's answer of 2548 matches the correct answer provided. The multiplication of 98 and 26 can be calculated as follows: 98 x 26 = 2548. Therefore, the language model's answer is correct.",
"The language model's answer of 2548 matches the correct answer provided. Therefore, it is correct.",... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\(98 \\times 26\\), we will break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n98 \\times 26 = (90 + 8) \\times 26\n\\]\n\n2. **Apply the distributive property:**\n \\[\n(90 + 8) \\times 26 = 90 \\times 26 + 8 \\times 26\n\\]\n\n3. **Multiply 9... | [
"2548",
"2548",
"2548",
"2548",
"2548",
"2548"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 2548\nWas Correct: True\nTarget: 2548",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\(98 \\times 26\\), we will break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n98 \\ti... |
44 | {"question": "What is the solution to the long multiplication equation below?\n\n28 x 94\n\nThink step by step.", "solution": "2632", "model_responses": ["To solve the long multiplication problem \\( 28 \\times 94 \\), let's break it down step by step:\n\n### Step 1: Write the numbers vertically\n\n```\n 28\n \u0... | 2632 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n28 x 94\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["2632"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["Step 1: Break down the multiplication into smaller, more manageable problems\n28 x 94 = (28 x 90) + (28 x 4)\n\nStep 2: Multiply 28 by 90\n28 x 90 = 2520 (because 28 x 9 = 252)\n\nStep 3: Multiply 28 by 4\n28 x 4 = 112 (because 28 x 4 = 112)\n\nStep 4: Add the results of the multiplication\n... | longmult | Step 1: Break down the multiplication into smaller, more manageable problems
28 x 94 = (28 x 90) + (28 x 4)
Step 2: Multiply 28 by 90
28 x 90 = 2520 (because 28 x 9 = 252)
Step 3: Multiply 28 by 4
28 x 4 = 112 (because 28 x 4 = 112)
Step 4: Add the results of the multiplication
2520 + 112 = 2632
So, the solution to... | 44 | 0 | 2632 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
28 x 94
Thi... | The final answer is found in the concluding statement of the model's output, which clearly states that the solution to the long multiplication equation 28 x 94 is 2632. | gpt-4o-mini | 0 | true | The language model's answer of 2632 matches the correct answer provided. The multiplication of 28 and 94 can be calculated as follows: 28 x 94 = 2632. Therefore, the language model's answer is correct. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"2632",
"2632",
"2632",
"2632"
],
[
"2632"
],
[
"2752",
"2752",
"2632"
],
[
"2632",
"2632"
],
[
"2632"
],
[
"2632"
]
] | [
[
true,
true,
true,
true
],
[
true
],
[
false,
false,
true
],
[
true,
true
],
[
true
],
[
true
]
] | [
[
"The language model's answer of 2632 matches the correct answer provided. The multiplication of 28 and 94 can be calculated as follows: 28 x 94 = 2632. Therefore, the language model's answer is correct.",
"The language model's answer of 2632 matches the correct answer provided. The multiplication of 28 an... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"Step 1: Break down the multiplication into smaller, more manageable problems\n28 x 94 = (28 x 90) + (28 x 4)\n\nStep 2: Multiply 28 by 90\n28 x 90 = 2520 (because 28 x 9 = 252)\n\nStep 3: Multiply 28 by 4\n28 x 4 = 112 (because 28 x 4 = 112)\n\nStep 4: Add the results of the multiplication\n2520 + 112 = 2632\n\nSo... | [
"2632",
"2632",
"2632",
"2632",
"2632",
"2632"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 2632\nWas Correct: True\nTarget: 2632",
"role": "user"
},
{
"content": "Step 1: Break down the multiplication into smaller, more manageable problems\n28 x 94 = (28 x 90) + (28 x 4)\n\nStep 2: Multiply 28 by 90\n28 x 90 = 2520 (... |
45 | {"question": "What is the solution to the long multiplication equation below?\n\n95 x 52\n\nThink step by step.", "solution": "4940", "model_responses": ["To solve the long multiplication equation \\(95 \\times 52\\), we follow these steps:\n\n1. Write down the numbers one under the other, aligning them by the place va... | 4940 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n95 x 52\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 0 | ["4760"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["Step 1: Break down the multiplication into smaller, more manageable problems\n95 x 52 = (90 + 5) x 52\n\nStep 2: Apply the distributive property to the multiplication\n= 90 x 52 + 5 x 52\n\nStep 3: Multiply 90 by 52\n= 4680\n\nStep 4: Multiply 5 by 52\n= 260\n\nStep 5: Add the results of the... | longmult | Step 1: Break down the multiplication into smaller, more manageable problems
95 x 52 = (90 + 5) x 52
Step 2: Apply the distributive property to the multiplication
= 90 x 52 + 5 x 52
Step 3: Multiply 90 by 52
= 4680
Step 4: Multiply 5 by 52
= 260
Step 5: Add the results of the multiplication
= 4680 + 260 = 4940
The... | 45 | 0 | 4940 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
95 x 52
Thi... | The model provided a detailed breakdown of the multiplication process, ultimately concluding that the solution to the equation 95 x 52 is 5040. This value is consistently presented as the final answer in multiple iterations of the explanation. | gpt-4o-mini | 0 | true | The language model's answer of 4940 is correct because the multiplication of 95 and 52 indeed equals 4940. The calculation can be verified by performing the multiplication step by step: 95 multiplied by 50 is 4750, and 95 multiplied by 2 is 190. Adding these two results together (4750 + 190) gives 4940. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"4940",
"7280",
"5040",
"5040",
"5040"
],
[
"5040",
"5040"
],
[
"5040"
],
[
"5040"
],
[
"5040"
],
[
"4940",
"4940",
"4760",
"4760"
]
] | [
[
true,
false,
false,
false,
false
],
[
false,
false
],
[
false
],
[
false
],
[
false
],
[
true,
true,
false,
false
]
] | [
[
"The language model's answer of 4940 is correct because the multiplication of 95 and 52 indeed equals 4940. The calculation can be verified by performing the multiplication step by step: 95 multiplied by 50 is 4750, and 95 multiplied by 2 is 190. Adding these two results together (4750 + 190) gives 4940.",
... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"Step 1: Break down the multiplication into smaller, more manageable problems\n95 x 52 = (90 + 5) x 52\n\nStep 2: Apply the distributive property to the multiplication\n= 90 x 52 + 5 x 52\n\nStep 3: Multiply 90 by 52\n= 4680\n\nStep 4: Multiply 5 by 52\n= 260\n\nStep 5: Add the results of the multiplication\n= 4680... | [
"5040",
"5040",
"5040",
"5040",
"5040",
"4760"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 5040\nWas Correct: False\nTarget: 4940",
"role": "user"
},
{
"content": "Step 1: Break down the multiplication into smaller, more manageable problems\n95 x 52 = (90 + 5) x 52\n\nStep 2: Apply the distributive property to the mu... |
46 | {"question": "What is the solution to the long multiplication equation below?\n\n73 x 27\n\nThink step by step.", "solution": "1971", "model_responses": ["To solve the long multiplication problem 73 x 27, we work it out step by step below:\n\n```\n 73\n x 27\n -----\n 511 (73 x 7)\n+ +1460 (73 x 20, added with... | 1971 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n73 x 27\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["1971"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\( 73 \\times 27 \\) step by step, we will break it down into simpler steps.\n\n### Step 1: Break down the numbers\nFirst, break down the numbers into smaller, more manageable parts:\n- \\( 73 \\) can be written as \\( 70 + 3 \\)\n- \\( 27 \\) can b... | longmult | To solve the long multiplication equation \( 73 \times 27 \) step by step, we will break it down into simpler steps.
### Step 1: Break down the numbers
First, break down the numbers into smaller, more manageable parts:
- \( 73 \) can be written as \( 70 + 3 \)
- \( 27 \) can be written as \( 20 + 7 \)
### Step 2: Use... | 46 | 0 | 1971 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
73 x 27
Thi... | The final answer is consistently stated as \boxed{1971} throughout the response, confirming that this is the solution to the multiplication of 73 and 27. | gpt-4o-mini | 0 | true | The language model's answer of 1971 matches the correct answer provided. The multiplication of 73 and 27 is indeed 1971, confirming that the language model's response is accurate. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"1971",
"1971",
"1971",
"1971"
],
[
"1971",
"1971"
],
[
"1971",
"1971"
],
[
"1971"
],
[
"1971"
],
[
"1971"
]
] | [
[
true,
true,
true,
true
],
[
true,
true
],
[
true,
true
],
[
true
],
[
true
],
[
true
]
] | [
[
"The language model's answer of 1971 matches the correct answer provided. The multiplication of 73 and 27 is indeed 1971, confirming that the language model's response is accurate.",
"The language model's answer of 1971 matches the correct answer for the multiplication of 73 and 27. Therefore, the answer ... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\( 73 \\times 27 \\) step by step, we will break it down into simpler steps.\n\n### Step 1: Break down the numbers\nFirst, break down the numbers into smaller, more manageable parts:\n- \\( 73 \\) can be written as \\( 70 + 3 \\)\n- \\( 27 \\) can be written as \\( 20 + 7... | [
"1971",
"1971",
"1971",
"1971",
"1971",
"1971"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 1971\nWas Correct: True\nTarget: 1971",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\( 73 \\times 27 \\) step by step, we will break it down into simpler steps.\n\n### Step 1: Break down the numbe... |
47 | {"question": "What is the solution to the long multiplication equation below?\n\n73 x 27\n\nThink step by step.", "solution": "1971", "model_responses": ["To solve the long multiplication problem 73 x 27, we work it out step by step below:\n\n```\n 73\n x 27\n -----\n 511 (73 x 7)\n+ +1460 (73 x 20, added with... | 1971 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n73 x 27\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["1971"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\( 73 \\times 27 \\) step by step, we will break it down into simpler steps.\n\n### Step 1: Break down the numbers\nFirst, break down the numbers into smaller, more manageable parts:\n- \\( 73 \\) can be written as \\( 70 + 3 \\)\n- \\( 27 \\) can b... | longmult | To solve the long multiplication equation \( 73 \times 27 \) step by step, we will break it down into simpler steps.
### Step 1: Break down the numbers
First, break down the numbers into smaller, more manageable parts:
- \( 73 \) can be written as \( 70 + 3 \)
- \( 27 \) can be written as \( 20 + 7 \)
### Step 2: Use... | 47 | 0 | 1971 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
73 x 27
Thi... | The final answer is consistently stated as \boxed{1971} throughout the response, confirming that this is the solution to the multiplication of 73 and 27. | gpt-4o-mini | 0 | true | The language model's answer of 1971 matches the correct answer provided. The multiplication of 73 and 27 is indeed 1971, confirming that the language model's response is accurate. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"1971",
"1971",
"1971",
"1971"
],
[
"1971",
"1971"
],
[
"1971"
],
[
"1971"
],
[
"1971",
"1971"
],
[
"1971",
"1971"
]
] | [
[
true,
true,
true,
true
],
[
true,
true
],
[
true
],
[
true
],
[
true,
true
],
[
true,
true
]
] | [
[
"The language model's answer of 1971 matches the correct answer provided. The multiplication of 73 and 27 is indeed 1971, confirming that the language model's response is accurate.",
"The language model's answer of 1971 matches the correct answer provided. The multiplication of 73 and 27 indeed results in... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\( 73 \\times 27 \\) step by step, we will break it down into simpler steps.\n\n### Step 1: Break down the numbers\nFirst, break down the numbers into smaller, more manageable parts:\n- \\( 73 \\) can be written as \\( 70 + 3 \\)\n- \\( 27 \\) can be written as \\( 20 + 7... | [
"1971",
"1971",
"1971",
"1971",
"1971",
"1971"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 1971\nWas Correct: True\nTarget: 1971",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\( 73 \\times 27 \\) step by step, we will break it down into simpler steps.\n\n### Step 1: Break down the numbe... |
48 | {"question": "What is the solution to the long multiplication equation below?\n\n60 x 55\n\nThink step by step.", "solution": "3300", "model_responses": ["To solve the long multiplication equation 60 x 55, we follow these steps:\n\n1. Set up the multiplication:\n\n```\n 60\n\u00d7 55\n-----\n```\n\n2. Multiply the uni... | 3300 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n60 x 55\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["3300"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the multiplication \\( 60 \\times 55 \\), we can break it down into simpler steps.\n\n1. **Break down the numbers**: We know that \\( 60 = 6 \\times 10 \\) and \\( 55 = 5 \\times 10 + 5 \\).\n \n2. **Use the distributive property**: This property states that \\( a \\times b = (a \... | longmult | To solve the multiplication \( 60 \times 55 \), we can break it down into simpler steps.
1. **Break down the numbers**: We know that \( 60 = 6 \times 10 \) and \( 55 = 5 \times 10 + 5 \).
2. **Use the distributive property**: This property states that \( a \times b = (a \times 10) \times (b \div 10) \).
Applyi... | 48 | 0 | 3300 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
60 x 55
Thi... | The final answer is found in the repeated conclusion of the model's output, which states that the solution to the long multiplication equation 60 x 55 is 3300. | gpt-4o-mini | 0 | true | The language model's answer of 3300 is correct because the multiplication of 60 and 55 can be calculated as follows: 60 x 55 = 3300. This matches the correct answer provided. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"3300",
"3300",
"3300",
"3300"
],
[
"3300"
],
[
"3300"
],
[
"3300"
],
[
"3300"
],
[
"3300"
]
] | [
[
true,
true,
true,
true
],
[
true
],
[
true
],
[
true
],
[
true
],
[
true
]
] | [
[
"The language model's answer of 3300 is correct because the multiplication of 60 and 55 can be calculated as follows: 60 x 55 = 3300. This matches the correct answer provided.",
"The language model's answer of 3300 is correct because the multiplication of 60 and 55 can be calculated as follows: 60 x 55 = ... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the multiplication \\( 60 \\times 55 \\), we can break it down into simpler steps.\n\n1. **Break down the numbers**: We know that \\( 60 = 6 \\times 10 \\) and \\( 55 = 5 \\times 10 + 5 \\).\n \n2. **Use the distributive property**: This property states that \\( a \\times b = (a \\times 10) \\times (b \... | [
"3300",
"3300",
"3300",
"3300",
"3300",
"3300"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 3300\nWas Correct: True\nTarget: 3300",
"role": "user"
},
{
"content": "To solve the multiplication \\( 60 \\times 55 \\), we can break it down into simpler steps.\n\n1. **Break down the numbers**: We know that \\( 60 = 6 \\tim... |
49 | {"question": "What is the solution to the long multiplication equation below?\n\n81 x 98\n\nThink step by step.", "solution": "7938", "model_responses": ["To solve the long multiplication equation 81 x 98 step by step:\n\n1) First, let's rewrite 98 as it's tens and ones place values:\n 80 (one 8, zero ones)\n 90 (o... | 7938 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n81 x 98\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["7938"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\( 81 \\times 98 \\), we will break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n98 = 100 - 2\n\\]\n\n2. **Rewrite the multiplication:**\n \\[\n81 \\times 98 = 81 \\times (100 - 2)\n\\]\n\n3. **Apply the distributive prop... | longmult | To solve the long multiplication equation \( 81 \times 98 \), we will break it down into simpler steps.
1. **Break down the numbers:**
\[
98 = 100 - 2
\]
2. **Rewrite the multiplication:**
\[
81 \times 98 = 81 \times (100 - 2)
\]
3. **Apply the distributive property:**
\[
81 \times (100 - 2) = 81 \times 100... | 49 | 0 | 7938 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
81 x 98
Thi... | The final answer is determined from the repeated conclusion in the model's output, which states that the solution to the multiplication of 81 and 98 is 7938, confirmed through multiple steps of calculation. | gpt-4o-mini | 0 | true | The language model's answer of 7938 matches the correct answer provided. Therefore, the answer is correct. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"7938",
"7938",
"7938",
"7938"
],
[
"7938"
],
[
"7938"
],
[
"7938"
],
[
"7938"
],
[
"7938",
"7938"
]
] | [
[
true,
true,
true,
true
],
[
true
],
[
true
],
[
true
],
[
true
],
[
true,
true
]
] | [
[
"The language model's answer of 7938 matches the correct answer provided. Therefore, the answer is correct.",
"The language model's answer of 7938 matches the correct answer provided. Therefore, the answer is correct.",
"The language model's answer of 7938 matches the correct answer provided. Therefor... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\( 81 \\times 98 \\), we will break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n98 = 100 - 2\n\\]\n\n2. **Rewrite the multiplication:**\n \\[\n81 \\times 98 = 81 \\times (100 - 2)\n\\]\n\n3. **Apply the distributive property:**\n \\[\n81 \\t... | [
"7938",
"7938",
"7938",
"7938",
"7938",
"7938"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 7938\nWas Correct: True\nTarget: 7938",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\( 81 \\times 98 \\), we will break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n98 = ... |
50 | {"question": "What is the solution to the long multiplication equation below?\n\n81 x 98\n\nThink step by step.", "solution": "7938", "model_responses": ["To solve the long multiplication equation 81 x 98 step by step:\n\n1) First, let's rewrite 98 as it's tens and ones place values:\n 80 (one 8, zero ones)\n 90 (o... | 7938 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n81 x 98\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["7938"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\( 81 \\times 98 \\), we will break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n98 = 100 - 2\n\\]\n\n2. **Rewrite the multiplication:**\n \\[\n81 \\times 98 = 81 \\times (100 - 2)\n\\]\n\n3. **Apply the distributive prop... | longmult | To solve the long multiplication equation \( 81 \times 98 \), we will break it down into simpler steps.
1. **Break down the numbers:**
\[
98 = 100 - 2
\]
2. **Rewrite the multiplication:**
\[
81 \times 98 = 81 \times (100 - 2)
\]
3. **Apply the distributive property:**
\[
81 \times (100 - 2) = 81 \times 100... | 50 | 0 | 7938 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
81 x 98
Thi... | The model consistently arrives at the final answer of 7938 through multiple steps of long multiplication, confirming the result through the distributive property and subtraction. | gpt-4o-mini | 0 | true | The language model's answer of 7938 matches the correct answer provided. Therefore, the answer is correct. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"7938",
"7938",
"7938",
"7938"
],
[
"7938"
],
[
"8074",
"7938"
],
[
"7938",
"7938"
],
[
"7938",
"7938"
],
[
"7938"
]
] | [
[
true,
true,
true,
true
],
[
true
],
[
false,
true
],
[
true,
true
],
[
true,
true
],
[
true
]
] | [
[
"The language model's answer of 7938 matches the correct answer provided. Therefore, the answer is correct.",
"The language model's answer of 7938 matches the correct answer provided. Therefore, the answer is correct.",
"The language model's answer of 7938 matches the correct answer provided. Therefor... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\( 81 \\times 98 \\), we will break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n98 = 100 - 2\n\\]\n\n2. **Rewrite the multiplication:**\n \\[\n81 \\times 98 = 81 \\times (100 - 2)\n\\]\n\n3. **Apply the distributive property:**\n \\[\n81 \\t... | [
"7938",
"7938",
"7938",
"7938",
"7938",
"7938"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 7938\nWas Correct: True\nTarget: 7938",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\( 81 \\times 98 \\), we will break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n98 = ... |
51 | {"question": "What is the solution to the long multiplication equation below?\n\n61 x 89\n\nThink step by step.", "solution": "5429", "model_responses": ["To solve \\( 61 \\times 89 \\), we can use long multiplication as follows:\n\n\\[\n\\begin{array}{r}\n 61 \\\\\n \\times 89 \\\\\n \\hline\n 519 \\\\\n... | 5429 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n61 x 89\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["5429"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["Step 1: Break down the multiplication into smaller, more manageable problems\n61 x 89 = (60 + 1) x 89\n\nStep 2: Apply the distributive property to the multiplication\n= 60 x 89 + 1 x 89\n\nStep 3: Multiply 60 by 89\n= 5340\n\nStep 4: Multiply 1 by 89\n= 89\n\nStep 5: Add the results of the ... | longmult | Step 1: Break down the multiplication into smaller, more manageable problems
61 x 89 = (60 + 1) x 89
Step 2: Apply the distributive property to the multiplication
= 60 x 89 + 1 x 89
Step 3: Multiply 60 by 89
= 5340
Step 4: Multiply 1 by 89
= 89
Step 5: Add the results of the multiplication
= 5340 + 89 = 5429
There... | 51 | 0 | 5429 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
61 x 89
Thi... | The final answer is determined from the repeated conclusion in the model's output, which states that the solution to the multiplication of 61 and 89 is 5429. | gpt-4o-mini | 0 | true | The language model's answer of 5429 matches the correct answer for the multiplication of 61 and 89. Therefore, the answer is correct. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"5429",
"5429",
"5429",
"5429"
],
[
"5429"
],
[
"5429"
],
[
"5429"
],
[
"5429"
],
[
"5429"
]
] | [
[
true,
true,
true,
true
],
[
true
],
[
true
],
[
true
],
[
true
],
[
true
]
] | [
[
"The language model's answer of 5429 matches the correct answer for the multiplication of 61 and 89. Therefore, the answer is correct.",
"The language model's answer of 5429 matches the correct answer for the multiplication of 61 and 89. Therefore, the answer is correct.",
"The language model's answer... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"Step 1: Break down the multiplication into smaller, more manageable problems\n61 x 89 = (60 + 1) x 89\n\nStep 2: Apply the distributive property to the multiplication\n= 60 x 89 + 1 x 89\n\nStep 3: Multiply 60 by 89\n= 5340\n\nStep 4: Multiply 1 by 89\n= 89\n\nStep 5: Add the results of the multiplication\n= 5340 ... | [
"5429",
"5429",
"5429",
"5429",
"5429",
"5429"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 5429\nWas Correct: True\nTarget: 5429",
"role": "user"
},
{
"content": "Step 1: Break down the multiplication into smaller, more manageable problems\n61 x 89 = (60 + 1) x 89\n\nStep 2: Apply the distributive property to the mul... |
52 | {"question": "What is the solution to the long multiplication equation below?\n\n61 x 89\n\nThink step by step.", "solution": "5429", "model_responses": ["To solve \\( 61 \\times 89 \\), we can use long multiplication as follows:\n\n\\[\n\\begin{array}{r}\n 61 \\\\\n \\times 89 \\\\\n \\hline\n 519 \\\\\n... | 5429 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n61 x 89\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["5429"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["Step 1: Break down the multiplication into smaller, more manageable problems\n61 x 89 = (60 + 1) x 89\n\nStep 2: Apply the distributive property to the multiplication\n= 60 x 89 + 1 x 89\n\nStep 3: Multiply 60 by 89\n= 5340\n\nStep 4: Multiply 1 by 89\n= 89\n\nStep 5: Add the results of the ... | longmult | Step 1: Break down the multiplication into smaller, more manageable problems
61 x 89 = (60 + 1) x 89
Step 2: Apply the distributive property to the multiplication
= 60 x 89 + 1 x 89
Step 3: Multiply 60 by 89
= 5340
Step 4: Multiply 1 by 89
= 89
Step 5: Add the results of the multiplication
= 5340 + 89 = 5429
There... | 52 | 0 | 5429 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
61 x 89
Thi... | The final answer is determined from the repeated conclusion in the model's output that the solution to the multiplication of 61 and 89 is 5429, which is consistently stated at the end of the explanation. | gpt-4o-mini | 0 | true | The language model's answer of 5429 matches the correct answer for the multiplication of 61 and 89. Therefore, the answer is correct. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"5429",
"5429",
"5429",
"5429"
],
[
"5429"
],
[
"5429",
"5429"
],
[
"5429",
"5429",
"5429"
],
[
"5428.763"
],
[
"5429"
]
] | [
[
true,
true,
true,
true
],
[
true
],
[
true,
true
],
[
true,
true,
true
],
[
false
],
[
true
]
] | [
[
"The language model's answer of 5429 matches the correct answer for the multiplication of 61 and 89. Therefore, the answer is correct.",
"The language model's answer of 5429 matches the correct answer for the multiplication of 61 and 89. Therefore, the answer is correct.",
"The language model's answer... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"Step 1: Break down the multiplication into smaller, more manageable problems\n61 x 89 = (60 + 1) x 89\n\nStep 2: Apply the distributive property to the multiplication\n= 60 x 89 + 1 x 89\n\nStep 3: Multiply 60 by 89\n= 5340\n\nStep 4: Multiply 1 by 89\n= 89\n\nStep 5: Add the results of the multiplication\n= 5340 ... | [
"5429",
"5429",
"5429",
"5429",
"5428.763",
"5429"
] | [
true,
true,
true,
true,
false,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 5429\nWas Correct: True\nTarget: 5429",
"role": "user"
},
{
"content": "Step 1: Break down the multiplication into smaller, more manageable problems\n61 x 89 = (60 + 1) x 89\n\nStep 2: Apply the distributive property to the mul... |
53 | {"question": "What is the solution to the long multiplication equation below?\n\n61 x 89\n\nThink step by step.", "solution": "5429", "model_responses": ["To solve \\( 61 \\times 89 \\), we can use long multiplication as follows:\n\n\\[\n\\begin{array}{r}\n 61 \\\\\n \\times 89 \\\\\n \\hline\n 519 \\\\\n... | 5429 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n61 x 89\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["5429"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["Step 1: Break down the multiplication into smaller, more manageable problems\n61 x 89 = (60 + 1) x 89\n\nStep 2: Apply the distributive property to the multiplication\n= 60 x 89 + 1 x 89\n\nStep 3: Multiply 60 by 89\n= 5340\n\nStep 4: Multiply 1 by 89\n= 89\n\nStep 5: Add the results of the ... | longmult | Step 1: Break down the multiplication into smaller, more manageable problems
61 x 89 = (60 + 1) x 89
Step 2: Apply the distributive property to the multiplication
= 60 x 89 + 1 x 89
Step 3: Multiply 60 by 89
= 5340
Step 4: Multiply 1 by 89
= 89
Step 5: Add the results of the multiplication
= 5340 + 89 = 5429
There... | 53 | 0 | 5429 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
61 x 89
Thi... | The final answer is determined from the repeated conclusion in the model's output, which states that the solution to the multiplication equation 61 x 89 is 5429. | gpt-4o-mini | 0 | true | The language model's answer of 5429 matches the correct answer provided. The multiplication of 61 and 89 is indeed 5429, confirming that the language model's response is accurate. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"5429",
"5429",
"5429",
"5429"
],
[
"5429",
"5429",
"5429"
],
[
"5429"
],
[
"5429",
"5429"
],
[
"5429"
],
[
"5429"
]
] | [
[
true,
true,
true,
true
],
[
true,
true,
true
],
[
true
],
[
true,
true
],
[
true
],
[
true
]
] | [
[
"The language model's answer of 5429 matches the correct answer provided. The multiplication of 61 and 89 is indeed 5429, confirming that the language model's response is accurate.",
"The language model's answer of 5429 matches the correct answer for the multiplication of 61 and 89. Therefore, the answer ... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"Step 1: Break down the multiplication into smaller, more manageable problems\n61 x 89 = (60 + 1) x 89\n\nStep 2: Apply the distributive property to the multiplication\n= 60 x 89 + 1 x 89\n\nStep 3: Multiply 60 by 89\n= 5340\n\nStep 4: Multiply 1 by 89\n= 89\n\nStep 5: Add the results of the multiplication\n= 5340 ... | [
"5429",
"5429",
"5429",
"5429",
"5429",
"5429"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 5429\nWas Correct: True\nTarget: 5429",
"role": "user"
},
{
"content": "Step 1: Break down the multiplication into smaller, more manageable problems\n61 x 89 = (60 + 1) x 89\n\nStep 2: Apply the distributive property to the mul... |
54 | {"question": "What is the solution to the long multiplication equation below?\n\n88 x 61\n\nThink step by step.", "solution": "5368", "model_responses": ["To solve $88 x 61$, follow these steps:\n\n1. Place 61 as the multiplicand and 88 as the multiplier.\n \\[\n \\begin{array}{c}\n 88 \\\\\n \\times 61 \\\\\n ... | 5368 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n88 x 61\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["5368"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation 88 x 61, we will break it down into simpler steps.\n\n1. **Break down 61**: We can think of 61 as 60 + 1.\n\n2. **Write out the multiplication**: \n \\[\n88 \\times 61 = 88 \\times (60 + 1)\n\\]\n\n3. **Apply the distributive property**:\n \\[\n8... | longmult | To solve the long multiplication equation 88 x 61, we will break it down into simpler steps.
1. **Break down 61**: We can think of 61 as 60 + 1.
2. **Write out the multiplication**:
\[
88 \times 61 = 88 \times (60 + 1)
\]
3. **Apply the distributive property**:
\[
88 \times (60 + 1) = 88 \times 60 + 88 \times... | 54 | 0 | 5368 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
88 x 61
Thi... | The final answer is consistently stated as 5368 throughout the response, confirmed by multiple calculations and breakdowns of the multiplication process. | gpt-4o-mini | 0 | true | The language model's answer of 5368 matches the correct answer for the multiplication of 88 and 61. Therefore, the answer is correct. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"5368",
"5368",
"5368",
"5368"
],
[
"5368",
"5368",
"5368"
],
[
"5368",
"5368"
],
[
"5368",
"5368"
],
[
"5368"
],
[
"5368"
]
] | [
[
true,
true,
true,
true
],
[
true,
true,
true
],
[
true,
true
],
[
true,
true
],
[
true
],
[
true
]
] | [
[
"The language model's answer of 5368 matches the correct answer for the multiplication of 88 and 61. Therefore, the answer is correct.",
"The language model's answer of 5368 matches the correct answer for the multiplication of 88 and 61. Therefore, the answer is correct.",
"The language model's answer... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation 88 x 61, we will break it down into simpler steps.\n\n1. **Break down 61**: We can think of 61 as 60 + 1.\n\n2. **Write out the multiplication**: \n \\[\n88 \\times 61 = 88 \\times (60 + 1)\n\\]\n\n3. **Apply the distributive property**:\n \\[\n88 \\times (60 + 1) = 88... | [
"5368",
"5368",
"5368",
"5368",
"5368",
"5368"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 5368\nWas Correct: True\nTarget: 5368",
"role": "user"
},
{
"content": "To solve the long multiplication equation 88 x 61, we will break it down into simpler steps.\n\n1. **Break down 61**: We can think of 61 as 60 + 1.\n\n2. *... |
55 | {"question": "What is the solution to the long multiplication equation below?\n\n52 x 56\n\nThink step by step.", "solution": "2912", "model_responses": ["To solve the long multiplication equation 52 x 56, follow these steps:\n\n1) Set up the multiplication as usual:\n\n 52\n x 56\n --------\n (Ignore mult... | 2912 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n52 x 56\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["2912"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\( 52 \\times 56 \\), we will break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n52 = 50 + 2\n\\]\n\\[\n56 = 50 + 6\n\\]\n\n2. **Write out the multiplication as a series of smaller multiplications:**\n \\[\n(50 + 2) \\tim... | longmult | To solve the long multiplication equation \( 52 \times 56 \), we will break it down into simpler steps.
1. **Break down the numbers:**
\[
52 = 50 + 2
\]
\[
56 = 50 + 6
\]
2. **Write out the multiplication as a series of smaller multiplications:**
\[
(50 + 2) \times (50 + 6)
\]
This can be expanded as:
\[
50 \ti... | 55 | 0 | 2912 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
52 x 56
Thi... | The final answer is consistently stated as 2912 throughout the response, particularly in the concluding sentences where it summarizes the solution to the multiplication problem. | gpt-4o-mini | 0 | true | The language model's answer of 2912 matches the correct answer provided. The multiplication of 52 and 56 can be calculated as follows: 52 x 56 = 2912. Therefore, the language model's answer is correct. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"2912",
"2912",
"2912",
"2912"
],
[
"2912"
],
[
"2912",
"2912"
],
[
"2912",
"2912"
],
[
"2816"
],
[
"2816"
]
] | [
[
true,
true,
true,
true
],
[
true
],
[
true,
true
],
[
true,
true
],
[
false
],
[
false
]
] | [
[
"The language model's answer of 2912 matches the correct answer provided. The multiplication of 52 and 56 can be calculated as follows: 52 x 56 = 2912. Therefore, the language model's answer is correct.",
"The language model's answer of 2912 matches the correct answer for the multiplication of 52 and 56. ... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\( 52 \\times 56 \\), we will break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n52 = 50 + 2\n\\]\n\\[\n56 = 50 + 6\n\\]\n\n2. **Write out the multiplication as a series of smaller multiplications:**\n \\[\n(50 + 2) \\times (50 + 6)\n\\]\nThis ... | [
"2912",
"2912",
"2912",
"2912",
"2816",
"2816"
] | [
true,
true,
true,
true,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 2912\nWas Correct: True\nTarget: 2912",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\( 52 \\times 56 \\), we will break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n52 = ... |
57 | {"question": "What is the solution to the long multiplication equation below?\n\n29 x 10\n\nThink step by step.", "solution": "290", "model_responses": ["To solve the long multiplication problem 29 x 10, let's think through it step by step.\n\nUnderstanding the problem:\n\n- We are multiplying 29 by 10.\n- Multiplying ... | 290 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n29 x 10\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["290"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\(29 \\times 10\\), we can follow these steps:\n\n1. **Identify the numbers**: We have \\(29\\) and \\(10\\).\n2. **Multiply the number by the single-digit multiplier**: Here, we are multiplying \\(29\\) by \\(1\\).\n3. **Understand the multiplicati... | longmult | To solve the long multiplication equation \(29 \times 10\), we can follow these steps:
1. **Identify the numbers**: We have \(29\) and \(10\).
2. **Multiply the number by the single-digit multiplier**: Here, we are multiplying \(29\) by \(1\).
3. **Understand the multiplication process**: When you multiply \(29\) by \... | 57 | 0 | 290 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
29 x 10
Thi... | The final answer is found in the last part of the model's output where it states the result of the multiplication is 290. | gpt-4o-mini | 0 | true | The language model's answer of 290 is correct because when you multiply 29 by 10, you get 290. The calculation is straightforward: 29 multiplied by 10 equals 290. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"290"
],
[
"319 _ 0",
"290",
"290",
"290",
"290"
],
[
"290"
],
[
"2900",
"2900",
"290"
],
[
"290"
],
[
"290"
]
] | [
[
true
],
[
false,
true,
true,
true,
true
],
[
true
],
[
false,
false,
true
],
[
true
],
[
true
]
] | [
[
"The language model's answer of 290 is correct because when you multiply 29 by 10, you get 290. The calculation is straightforward: 29 multiplied by 10 equals 290."
],
[
"The language model's answer '319 _ 0' is incorrect because it does not represent the product of 29 and 10. The correct multiplicati... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\(29 \\times 10\\), we can follow these steps:\n\n1. **Identify the numbers**: We have \\(29\\) and \\(10\\).\n2. **Multiply the number by the single-digit multiplier**: Here, we are multiplying \\(29\\) by \\(1\\).\n3. **Understand the multiplication process**: When you ... | [
"290",
"290",
"290",
"290",
"290",
"290"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 290\nWas Correct: True\nTarget: 290",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\(29 \\times 10\\), we can follow these steps:\n\n1. **Identify the numbers**: We have \\(29\\) and \\(10\\).\n2. ... |
59 | {"question": "What is the solution to the long multiplication equation below?\n\n56 x 49\n\nThink step by step.", "solution": "2744", "model_responses": ["To solve the long multiplication equation 56 \u00d7 49, follow these steps:\n\n1. Line up the numbers vertically:\n```\n 56\n\u00d7 49\n-----\n```\n\n2. Multiply 5... | 2744 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n56 x 49\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["2744"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication problem \\( 56 \\times 49 \\), follow these steps:\n\n1. **Set up the multiplication**: Write down 56 and align it with the right side of 49.\n\n \\[\n \\begin{array}{c@{}c@{}c}\n & 56 \\\\\n \\times & 49 \\\\\n \\end{array}\n \\]\n\n2. **Multip... | longmult | To solve the long multiplication problem \( 56 \times 49 \), follow these steps:
1. **Set up the multiplication**: Write down 56 and align it with the right side of 49.
\[
\begin{array}{c@{}c@{}c}
& 56 \\
\times & 49 \\
\end{array}
\]
2. **Multiply 56 by 9** (the rightmost digit of 49):
- \( 5... | 59 | 0 | 733 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
56 x 49
Thi... | The final answer is determined from the repeated calculations and confirmations in the model's output, where it consistently concludes that the product of 56 and 49 is 2744. | gpt-4o-mini | 0 | false | The language model's answer of 733 is incorrect because the correct multiplication of 56 and 49 is 2744. To verify, we can break down the multiplication: 56 x 49 can be calculated as (50 - 4) x 49 = 50 x 49 - 4 x 49 = 2450 - 196 = 2254. However, the correct multiplication directly gives 2744. Therefore, the language mo... | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"733",
"2744",
"2744",
"2744"
],
[
"2744",
"2744"
],
[
"2744"
],
[
"2744"
],
[
"2744"
],
[
"2744"
]
] | [
[
false,
true,
true,
true
],
[
true,
true
],
[
true
],
[
true
],
[
true
],
[
true
]
] | [
[
"The language model's answer of 733 is incorrect because the correct multiplication of 56 and 49 is 2744. To verify, we can break down the multiplication: 56 x 49 can be calculated as (50 - 4) x 49 = 50 x 49 - 4 x 49 = 2450 - 196 = 2254. However, the correct multiplication directly gives 2744. Therefore, the ... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication problem \\( 56 \\times 49 \\), follow these steps:\n\n1. **Set up the multiplication**: Write down 56 and align it with the right side of 49.\n\n \\[\n \\begin{array}{c@{}c@{}c}\n & 56 \\\\\n \\times & 49 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 56 by 9** (the right... | [
"2744",
"2744",
"2744",
"2744",
"2744",
"2744"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 2744\nWas Correct: True\nTarget: 2744",
"role": "user"
},
{
"content": "To solve the long multiplication problem \\( 56 \\times 49 \\), follow these steps:\n\n1. **Set up the multiplication**: Write down 56 and align it with th... |
60 | {"question": "What is the solution to the long multiplication equation below?\n\n12 x 52\n\nThink step by step.", "solution": "624", "model_responses": ["Step 1: Draw out the long multiplication tables. You would write 12 vertically two lines next to each other, then 52 written next to the other.\n\nStep 2: Multiply th... | 624 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n12 x 52\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["624"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation 12 x 52, we can break it down into simpler steps.\n\n1. First, we'll multiply 12 by 2 (the ones place of 52).\n - 12 x 2 = 24\n\n2. Next, we'll multiply 12 by 50 (the tens place of 52).\n - 12 x 50 = 600\n\n3. Now, we add the results from the two... | longmult | To solve the long multiplication equation 12 x 52, we can break it down into simpler steps.
1. First, we'll multiply 12 by 2 (the ones place of 52).
- 12 x 2 = 24
2. Next, we'll multiply 12 by 50 (the tens place of 52).
- 12 x 50 = 600
3. Now, we add the results from the two multiplications:
- 24 (from step... | 60 | 0 | 624 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
12 x 52
Thi... | The final answer is found in the conclusion of the model's output, where it states that the solution to the long multiplication equation 12 x 52 is 624. | gpt-4o-mini | 0 | true | The language model's answer of 624 is correct because the multiplication of 12 and 52 indeed equals 624. The calculation can be verified by performing the multiplication step by step: 12 multiplied by 50 is 600, and 12 multiplied by 2 is 24, and adding these two results gives 600 + 24 = 624. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"624",
"624",
"624",
"624"
],
[
"624"
],
[
"624"
],
[
"624"
],
[
"624"
],
[
"624"
]
] | [
[
true,
true,
true,
true
],
[
true
],
[
true
],
[
true
],
[
true
],
[
true
]
] | [
[
"The language model's answer of 624 is correct because the multiplication of 12 and 52 indeed equals 624. The calculation can be verified by performing the multiplication step by step: 12 multiplied by 50 is 600, and 12 multiplied by 2 is 24, and adding these two results gives 600 + 24 = 624.",
"The langu... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation 12 x 52, we can break it down into simpler steps.\n\n1. First, we'll multiply 12 by 2 (the ones place of 52).\n - 12 x 2 = 24\n\n2. Next, we'll multiply 12 by 50 (the tens place of 52).\n - 12 x 50 = 600\n\n3. Now, we add the results from the two multiplications:\n -... | [
"624",
"624",
"624",
"624",
"624",
"624"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 624\nWas Correct: True\nTarget: 624",
"role": "user"
},
{
"content": "To solve the long multiplication equation 12 x 52, we can break it down into simpler steps.\n\n1. First, we'll multiply 12 by 2 (the ones place of 52).\n -... |
61 | {"question": "What is the solution to the long multiplication equation below?\n\n62 x 61\n\nThink step by step.", "solution": "3782", "model_responses": ["To solve the long multiplication equation \\(62 \\times 61\\), we will follow the standard algorithm for multiplying numbers.\n\n1. **Multiply 62 by 1 (the units pla... | 3782 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n62 x 61\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 0 | ["3882"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation 62 x 61, we can follow the standard algorithm for multiplication:\n\n1. Multiply 62 by 1 (the ones place of 61): 62 x 1 = 62\n2. Multiply 62 by 6 (the tens place of 61): 62 x 6 = 372\n3. Add the results of the two multiplications: 62 + 372 = 434\n\nS... | longmult | To solve the long multiplication equation 62 x 61, we can follow the standard algorithm for multiplication:
1. Multiply 62 by 1 (the ones place of 61): 62 x 1 = 62
2. Multiply 62 by 6 (the tens place of 61): 62 x 6 = 372
3. Add the results of the two multiplications: 62 + 372 = 434
So, the solution to the long multip... | 61 | 0 | 434 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
62 x 61
Thi... | The final answer is determined from the last part of the model's output where it states the solution to the long multiplication equation 62 x 61 is 3782. | gpt-4o-mini | 0 | false | The language model's answer of 434 is incorrect because it does not accurately reflect the product of 62 and 61. The correct multiplication can be calculated as follows: 62 x 61 = 62 x (60 + 1) = (62 x 60) + (62 x 1) = 3720 + 62 = 3782. Therefore, the correct answer is 3782. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"434",
"3782",
"564",
"4320",
"3782"
],
[
"3782"
],
[
"3782"
],
[
"3782",
"3762"
],
[
"3882",
"3882"
],
[
"3782"
]
] | [
[
false,
true,
false,
false,
true
],
[
true
],
[
true
],
[
true,
false
],
[
false,
false
],
[
true
]
] | [
[
"The language model's answer of 434 is incorrect because it does not accurately reflect the product of 62 and 61. The correct multiplication can be calculated as follows: 62 x 61 = 62 x (60 + 1) = (62 x 60) + (62 x 1) = 3720 + 62 = 3782. Therefore, the correct answer is 3782.",
"The language model's answe... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation 62 x 61, we can follow the standard algorithm for multiplication:\n\n1. Multiply 62 by 1 (the ones place of 61): 62 x 1 = 62\n2. Multiply 62 by 6 (the tens place of 61): 62 x 6 = 372\n3. Add the results of the two multiplications: 62 + 372 = 434\n\nSo, the solution to the ... | [
"3782",
"3782",
"3782",
"3762",
"3882",
"3782"
] | [
true,
true,
true,
false,
false,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 3782\nWas Correct: True\nTarget: 3782",
"role": "user"
},
{
"content": "To solve the long multiplication equation 62 x 61, we can follow the standard algorithm for multiplication:\n\n1. Multiply 62 by 1 (the ones place of 61): ... |
62 | {"question": "What is the solution to the long multiplication equation below?\n\n61 x 62\n\nThink step by step.", "solution": "3782", "model_responses": ["To solve the multiplication problem \\( 61 \\times 62 \\), let's break it down step-by-step:\n\n1. First, we can express the multiplication in a slightly different w... | 3782 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n61 x 62\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["3782"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation 61 x 62, we can break it down into simpler steps.\n\n1. First, we can express 62 as 60 + 2:\n 61 x 62 = 61 x (60 + 2)\n\n2. Now, we can apply the distributive property of multiplication over addition:\n 61 x 60 + 61 x 2\n\n3. Multiply 61 by 60:\n... | longmult | To solve the long multiplication equation 61 x 62, we can break it down into simpler steps.
1. First, we can express 62 as 60 + 2:
61 x 62 = 61 x (60 + 2)
2. Now, we can apply the distributive property of multiplication over addition:
61 x 60 + 61 x 2
3. Multiply 61 by 60:
61 x 60 = 3660
4. Multiply 61 by ... | 62 | 0 | 3782 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
61 x 62
Thi... | The final answer is found in the repeated conclusion of the model's output, where it states that the solution to the long multiplication equation 61 x 62 is 3782. | gpt-4o-mini | 0 | true | The language model's answer of 3782 matches the correct answer for the multiplication of 61 and 62. Therefore, the answer is correct. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"3782",
"3782",
"3782",
"3782"
],
[
"3782"
],
[
"3782"
],
[
"3782"
],
[
"3782"
],
[
"3782",
"3782",
"3782",
"3782",
"3782"
]
] | [
[
true,
true,
true,
true
],
[
true
],
[
true
],
[
true
],
[
true
],
[
true,
true,
true,
true,
true
]
] | [
[
"The language model's answer of 3782 matches the correct answer for the multiplication of 61 and 62. Therefore, the answer is correct.",
"The language model's answer of 3782 matches the correct answer provided. The multiplication of 61 and 62 is indeed 3782, confirming that the language model's response i... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation 61 x 62, we can break it down into simpler steps.\n\n1. First, we can express 62 as 60 + 2:\n 61 x 62 = 61 x (60 + 2)\n\n2. Now, we can apply the distributive property of multiplication over addition:\n 61 x 60 + 61 x 2\n\n3. Multiply 61 by 60:\n 61 x 60 = 3660\n\n4.... | [
"3782",
"3782",
"3782",
"3782",
"3782",
"3782"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 3782\nWas Correct: True\nTarget: 3782",
"role": "user"
},
{
"content": "To solve the long multiplication equation 61 x 62, we can break it down into simpler steps.\n\n1. First, we can express 62 as 60 + 2:\n 61 x 62 = 61 x (6... |
63 | {"question": "What is the solution to the long multiplication equation below?\n\n30 x 11\n\nThink step by step.", "solution": "330", "model_responses": ["To solve the long multiplication problem of 30 x 11, follow these steps:\n\nStep 1: Write down the numbers to be multiplied:\n 30\nx 11\n\nStep 2: Multiply 1 by 3... | 330 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n30 x 11\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["330"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\( 30 \\times 11 \\), you can follow these steps:\n\n1. **Break down the number 11**: You can think of 11 as 10 + 1.\n\n2. **Multiply 30 by 10**: \n \\[\n 30 \\times 10 = 300\n \\]\n\n3. **Multiply 30 by 1**: \n \\[\n 30 \\times 1 = 30\n... | longmult | To solve the long multiplication equation \( 30 \times 11 \), you can follow these steps:
1. **Break down the number 11**: You can think of 11 as 10 + 1.
2. **Multiply 30 by 10**:
\[
30 \times 10 = 300
\]
3. **Multiply 30 by 1**:
\[
30 \times 1 = 30
\]
4. **Add the results from steps 2 and 3**... | 63 | 0 | 330 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
30 x 11
Thi... | The final answer is determined from the last step of the model's output where it states, 'So, the solution to 30 x 11 is 330.' This clearly indicates that the answer to the multiplication problem is 330. | gpt-4o-mini | 0 | true | The language model's answer of 330 is correct because the multiplication of 30 and 11 is calculated as follows: 30 x 11 = 330. Therefore, the final answer matches the correct answer. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"330"
],
[
"330"
],
[
"330"
],
[
"330"
],
[
"330"
],
[
"330",
"330",
"330",
"330",
"330",
"330",
"330",
"330",
"330",
"330",
"330"
]
] | [
[
true
],
[
true
],
[
true
],
[
true
],
[
true
],
[
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true
]
] | [
[
"The language model's answer of 330 is correct because the multiplication of 30 and 11 is calculated as follows: 30 x 11 = 330. Therefore, the final answer matches the correct answer."
],
[
"The language model's answer of 330 is correct because the multiplication of 30 and 11 is calculated as follows:... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\( 30 \\times 11 \\), you can follow these steps:\n\n1. **Break down the number 11**: You can think of 11 as 10 + 1.\n\n2. **Multiply 30 by 10**: \n \\[\n 30 \\times 10 = 300\n \\]\n\n3. **Multiply 30 by 1**: \n \\[\n 30 \\times 1 = 30\n \\]\n\n4. **Add the ... | [
"330",
"330",
"330",
"330",
"330",
"330"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 330\nWas Correct: True\nTarget: 330",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\( 30 \\times 11 \\), you can follow these steps:\n\n1. **Break down the number 11**: You can think of 11 as 10 + ... |
64 | {"question": "What is the solution to the long multiplication equation below?\n\n59 x 80\n\nThink step by step.", "solution": "4720", "model_responses": ["To solve the long multiplication problem \\( 59 \\times 80 \\), follow these steps:\n\n1. Set up the multiplication in a scalable grid.\n\n\\[\n\\begin{array}{r}\n\\... | 4720 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n59 x 80\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["4720"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\( 59 \\times 80 \\), we will break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n59 \\times 80 = (50 + 9) \\times 80\n\\]\n\n2. **Apply the distributive property:**\n \\[\n(50 + 9) \\times 80 = 50 \\times 80 + 9 \\times 8... | longmult | To solve the long multiplication equation \( 59 \times 80 \), we will break it down into simpler steps.
1. **Break down the numbers:**
\[
59 \times 80 = (50 + 9) \times 80
\]
2. **Apply the distributive property:**
\[
(50 + 9) \times 80 = 50 \times 80 + 9 \times 80
\]
3. **Multiply 50 by 80:**
\[
50 \times ... | 64 | 0 | 4720 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
59 x 80
Thi... | The final answer is found in the repeated conclusion of the model's output, which states that the solution to the long multiplication equation 59 x 80 is 4720. | gpt-4o-mini | 0 | true | The language model's answer of 4720 is correct because when you multiply 59 by 80, the calculation is as follows: 59 x 80 = 4720. Therefore, the final answer matches the correct answer. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"4720",
"4720",
"4720",
"4720"
],
[
"4720"
],
[
"4720",
"4720"
],
[
"4720"
],
[
"4720"
],
[
"4720"
]
] | [
[
true,
true,
true,
true
],
[
true
],
[
true,
true
],
[
true
],
[
true
],
[
true
]
] | [
[
"The language model's answer of 4720 is correct because when you multiply 59 by 80, the calculation is as follows: 59 x 80 = 4720. Therefore, the final answer matches the correct answer.",
"The language model's answer of 4720 is correct because the multiplication of 59 and 80 can be calculated as follows:... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\( 59 \\times 80 \\), we will break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n59 \\times 80 = (50 + 9) \\times 80\n\\]\n\n2. **Apply the distributive property:**\n \\[\n(50 + 9) \\times 80 = 50 \\times 80 + 9 \\times 80\n\\]\n\n3. **Multiply... | [
"4720",
"4720",
"4720",
"4720",
"4720",
"4720"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 4720\nWas Correct: True\nTarget: 4720",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\( 59 \\times 80 \\), we will break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n59 \\... |
65 | {"question": "What is the solution to the long multiplication equation below?\n\n80 x 59\n\nThink step by step.", "solution": "4720", "model_responses": ["To solve the multiplication \\( 80 \\times 59 \\) using long multiplication, follow these steps:\n\n1. **Set up the multiplication:** Write the numbers one below the... | 4720 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n80 x 59\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["4720"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\( 80 \\times 59 \\), we can break it down into simpler steps.\n\n1. **Break down the multiplication**: We can think of \\( 80 \\times 59 \\) as \\( 80 \\times (60 - 1) \\).\n \\[\n 80 \\times (60 - 1) = 80 \\times 60 - 80 \\times 1\n \\]\n\n2... | longmult | To solve the long multiplication equation \( 80 \times 59 \), we can break it down into simpler steps.
1. **Break down the multiplication**: We can think of \( 80 \times 59 \) as \( 80 \times (60 - 1) \).
\[
80 \times (60 - 1) = 80 \times 60 - 80 \times 1
\]
2. **Calculate each part**:
- \( 80 \times 60 \... | 65 | 0 | 720 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
80 x 59
Thi... | The final answer is determined from the repeated calculations and confirmations in the model's output, which consistently concludes that the product of 80 and 59 is 4720. | gpt-4o-mini | 0 | false | The language model's answer of 720 is incorrect because it does not accurately reflect the product of 80 and 59. The correct calculation involves multiplying 80 by 59, which equals 4720. The model likely made an error in the multiplication process or miscalculated the final result. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"720",
"4720",
"4720",
"4720",
"4720"
],
[
"4520"
],
[
"4520",
"4520"
],
[
"4520",
"4720",
"4720"
],
[
"4520"
],
[
"4520",
"4520",
"4520"
]
] | [
[
false,
true,
true,
true,
true
],
[
false
],
[
false,
false
],
[
false,
true,
true
],
[
false
],
[
false,
false,
false
]
] | [
[
"The language model's answer of 720 is incorrect because it does not accurately reflect the product of 80 and 59. The correct calculation involves multiplying 80 by 59, which equals 4720. The model likely made an error in the multiplication process or miscalculated the final result.",
"The language model'... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\( 80 \\times 59 \\), we can break it down into simpler steps.\n\n1. **Break down the multiplication**: We can think of \\( 80 \\times 59 \\) as \\( 80 \\times (60 - 1) \\).\n \\[\n 80 \\times (60 - 1) = 80 \\times 60 - 80 \\times 1\n \\]\n\n2. **Calculate each part... | [
"4720",
"4520",
"4520",
"4720",
"4520",
"4520"
] | [
true,
false,
false,
true,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 4720\nWas Correct: True\nTarget: 4720",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\( 80 \\times 59 \\), we can break it down into simpler steps.\n\n1. **Break down the multiplication**: We can t... |
66 | {"question": "What is the solution to the long multiplication equation below?\n\n21 x 61\n\nThink step by step.", "solution": "1281", "model_responses": ["Certainly! Let's break down the long multiplication of 21 x 61 step by step.\n\n### Step-by-Step Solution:\n\n1. **Set Up the Equations:**\n Write the numbers vert... | 1281 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n21 x 61\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["1281"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\( 21 \\times 61 \\), we will break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n21 = 20 + 1\n\\]\n\\[\n61 = 60 + 1\n\\]\n\n2. **Use the distributive property:**\n \\[\n(20 + 1) \\times (60 + 1)\n\\]\n\\[\n= 20 \\times 60... | longmult | To solve the long multiplication equation \( 21 \times 61 \), we will break it down into simpler steps.
1. **Break down the numbers:**
\[
21 = 20 + 1
\]
\[
61 = 60 + 1
\]
2. **Use the distributive property:**
\[
(20 + 1) \times (60 + 1)
\]
\[
= 20 \times 60 + 20 \times 1 + 1 \times 60 + 1 \times 1
\]
3. **Mult... | 66 | 0 | 1280 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
21 x 61
Thi... | The final answer is determined from the repeated conclusion in the model's output, which states that the solution to the long multiplication equation 21 x 61 is 1280. | gpt-4o-mini | 0 | false | The language model's answer of 1280 is incorrect because the correct multiplication of 21 and 61 is 1281. The calculation can be verified by performing the multiplication step by step: 21 multiplied by 61 equals 1281. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"1280",
"1280",
"1280",
"1280"
],
[
"1281"
],
[
"1281",
"1281",
"1280"
],
[
"1280",
"1281"
],
[
"1281",
"1281"
],
[
"1281"
]
] | [
[
false,
false,
false,
false
],
[
true
],
[
true,
true,
false
],
[
false,
true
],
[
true,
true
],
[
true
]
] | [
[
"The language model's answer of 1280 is incorrect because the correct multiplication of 21 and 61 is 1281. The calculation can be verified by performing the multiplication step by step: 21 multiplied by 61 equals 1281.",
"The correct multiplication of 21 and 61 is 1281, as calculated by breaking it down i... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\( 21 \\times 61 \\), we will break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n21 = 20 + 1\n\\]\n\\[\n61 = 60 + 1\n\\]\n\n2. **Use the distributive property:**\n \\[\n(20 + 1) \\times (60 + 1)\n\\]\n\\[\n= 20 \\times 60 + 20 \\times 1 + 1 \\t... | [
"1280",
"1281",
"1280",
"1281",
"1281",
"1281"
] | [
false,
true,
false,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 1280\nWas Correct: False\nTarget: 1281",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\( 21 \\times 61 \\), we will break it down into simpler steps.\n\n1. **Break down the numbers:**\n \\[\n21 =... |
67 | {"question": "What is the solution to the long multiplication equation below?\n\n85 x 22\n\nThink step by step.", "solution": "1870", "model_responses": ["To solve the long multiplication equation \\(85 \\times 22\\), let's break it down step by step:\n\nStep 1: First, let's write out the numbers:\n\n \\[\n 85 \\\\... | 1870 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n85 x 22\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["1870"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\( 85 \\times 22 \\), we can break it down into simpler steps.\n\n1. **Break down 22**: We can think of 22 as \\( 20 + 2 \\). This makes the multiplication easier to handle because it allows us to multiply 85 by 20 and then 85 by 2, and then add the... | longmult | To solve the long multiplication equation \( 85 \times 22 \), we can break it down into simpler steps.
1. **Break down 22**: We can think of 22 as \( 20 + 2 \). This makes the multiplication easier to handle because it allows us to multiply 85 by 20 and then 85 by 2, and then add the results.
2. **Multiply 85 by 20**... | 67 | 0 | 1190 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
85 x 22
Thi... | The final answer is determined from the repeated conclusion in the model's output, which states that the solution to the long multiplication equation 85 x 22 is boxed as 1870. | gpt-4o-mini | 0 | false | The correct multiplication of 85 by 22 is 1870. The language model's answer of 1190 is incorrect, as it does not reflect the proper calculation of the multiplication. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"1190",
"1870",
"1870",
"1870"
],
[
"1870",
"1870"
],
[
"1870",
"1870"
],
[
"1870"
],
[
"1870"
],
[
"1870"
]
] | [
[
false,
true,
true,
true
],
[
true,
true
],
[
true,
true
],
[
true
],
[
true
],
[
true
]
] | [
[
"The correct multiplication of 85 by 22 is 1870. The language model's answer of 1190 is incorrect, as it does not reflect the proper calculation of the multiplication.",
"The language model's answer of 1870 is correct because the multiplication of 85 and 22 indeed equals 1870. The calculation can be verif... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\( 85 \\times 22 \\), we can break it down into simpler steps.\n\n1. **Break down 22**: We can think of 22 as \\( 20 + 2 \\). This makes the multiplication easier to handle because it allows us to multiply 85 by 20 and then 85 by 2, and then add the results.\n\n2. **Multi... | [
"1870",
"1870",
"1870",
"1870",
"1870",
"1870"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 1870\nWas Correct: True\nTarget: 1870",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\( 85 \\times 22 \\), we can break it down into simpler steps.\n\n1. **Break down 22**: We can think of 22 as \\... |
69 | {"question": "What is the solution to the long multiplication equation below?\n\n90 x 16\n\nThink step by step.", "solution": "1440", "model_responses": ["To solve the long multiplication equation \\( 90 \\times 16 \\), we'll follow these steps:\n\n1. **Set up the multiplication**: We start by writing 90 under the seco... | 1440 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n90 x 16\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["1440"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["Step 1: Break down the multiplication into simpler steps\n90 x 16 = 90 x (10 + 6)\n\nStep 2: Apply the multiplication property of adding inside a parenthesis\n= 90 x 10 + 90 x 6\n\nStep 3: Multiply 90 by 10 and 6\n= 900 + 540\n\nStep 4: Add the results of the multiplication\n= 900 + 540\n= 1... | longmult | Step 1: Break down the multiplication into simpler steps
90 x 16 = 90 x (10 + 6)
Step 2: Apply the multiplication property of adding inside a parenthesis
= 90 x 10 + 90 x 6
Step 3: Multiply 90 by 10 and 6
= 900 + 540
Step 4: Add the results of the multiplication
= 900 + 540
= 1440
Therefore, the solution to the lon... | 69 | 0 | 1440 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
90 x 16
Thi... | The final answer is determined from the last calculation step where it states that the solution to the long multiplication equation 90 x 16 is 1440. | gpt-4o-mini | 0 | true | The language model's answer of 1440 is correct because when you multiply 90 by 16, the calculation is as follows: 90 x 16 = 1440. Therefore, the final answer matches the correct answer. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"1440",
"144",
"1431",
"1440",
"1440"
],
[
"1440",
"1440"
],
[
"1440"
],
[
"1440"
],
[
"1440"
],
[
"1440"
]
] | [
[
true,
false,
false,
true,
true
],
[
true,
true
],
[
true
],
[
true
],
[
true
],
[
true
]
] | [
[
"The language model's answer of 1440 is correct because when you multiply 90 by 16, the calculation is as follows: 90 x 16 = 1440. Therefore, the final answer matches the correct answer.",
"The language model's answer of 144 is incorrect because it does not accurately represent the product of 90 and 16. T... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"Step 1: Break down the multiplication into simpler steps\n90 x 16 = 90 x (10 + 6)\n\nStep 2: Apply the multiplication property of adding inside a parenthesis\n= 90 x 10 + 90 x 6\n\nStep 3: Multiply 90 by 10 and 6\n= 900 + 540\n\nStep 4: Add the results of the multiplication\n= 900 + 540\n= 1440\n\nTherefore, the s... | [
"1440",
"1440",
"1440",
"1440",
"1440",
"1440"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 1440\nWas Correct: True\nTarget: 1440",
"role": "user"
},
{
"content": "Step 1: Break down the multiplication into simpler steps\n90 x 16 = 90 x (10 + 6)\n\nStep 2: Apply the multiplication property of adding inside a parenthes... |
70 | {"question": "What is the solution to the long multiplication equation below?\n\n30 x 76\n\nThink step by step.", "solution": "2280", "model_responses": ["To solve the multiplication problem \\(30 \\times 76\\), we can break it down into simpler steps. \n\nFirst, let's rewrite 76 as \\(70 + 6\\). This will help us use ... | 2280 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n30 x 76\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["2280"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation \\( 30 \\times 76 \\), we will follow these steps:\n\n1. **Break down the multiplication:**\n \\[\n30 \\times 76 = 30 \\times (70 + 6)\n\\]\n\n2. **Apply the distributive property:**\n \\[\n30 \\times (70 + 6) = 30 \\times 70 + 30 \\times 6\n\\]\... | longmult | To solve the long multiplication equation \( 30 \times 76 \), we will follow these steps:
1. **Break down the multiplication:**
\[
30 \times 76 = 30 \times (70 + 6)
\]
2. **Apply the distributive property:**
\[
30 \times (70 + 6) = 30 \times 70 + 30 \times 6
\]
3. **Multiply 30 by 70:**
\[
30 \times 70 = 21... | 70 | 0 | 2280 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
30 x 76
Thi... | The final answer is determined from the repeated conclusion in the model's output, which consistently states that the solution to the multiplication of 30 and 76 is 2280. | gpt-4o-mini | 0 | true | The language model's answer of 2280 is correct because the multiplication of 30 and 76 can be calculated as follows: 30 x 76 = 2280. Therefore, the final answer matches the correct answer. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"2280",
"2280",
"2280",
"2280"
],
[
"2280"
],
[
"2280"
],
[
"2280"
],
[
"2280"
],
[
"2280"
]
] | [
[
true,
true,
true,
true
],
[
true
],
[
true
],
[
true
],
[
true
],
[
true
]
] | [
[
"The language model's answer of 2280 is correct because the multiplication of 30 and 76 can be calculated as follows: 30 x 76 = 2280. Therefore, the final answer matches the correct answer.",
"The language model's answer of 2280 is correct because the multiplication of 30 and 76 is indeed 2280. This can b... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation \\( 30 \\times 76 \\), we will follow these steps:\n\n1. **Break down the multiplication:**\n \\[\n30 \\times 76 = 30 \\times (70 + 6)\n\\]\n\n2. **Apply the distributive property:**\n \\[\n30 \\times (70 + 6) = 30 \\times 70 + 30 \\times 6\n\\]\n\n3. **Multiply 30 by ... | [
"2280",
"2280",
"2280",
"2280",
"2280",
"2280"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 2280\nWas Correct: True\nTarget: 2280",
"role": "user"
},
{
"content": "To solve the long multiplication equation \\( 30 \\times 76 \\), we will follow these steps:\n\n1. **Break down the multiplication:**\n \\[\n30 \\times 7... |
71 | {"question": "What is the solution to the long multiplication equation below?\n\n19 x 37\n\nThink step by step.", "solution": "703", "model_responses": ["1. **Write down the numbers:** \n \\[\n 19 \n \\times \n 37\n \\]\n\n2. **Multiply using the expanded method:**\n - First, multiply \\(19\\) by \\(7\\) (... | 703 | {"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n19 x 37\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false... | 1 | ["703"] | samples_longmult_2dig_2025-06-09T15-45-28.141297.jsonl | [{"budget_forced_chunks": ["To solve the long multiplication equation 19 x 37, follow these steps:\n\n1. Break down the multiplication into smaller, more manageable steps.\n\n2. First, multiply 19 by the ones place of 37 (which is 7):\n\n 19 x 7 = 133\n\n3. Then, multiply 19 by the tens place of 37 (which is 3), and ... | longmult | To solve the long multiplication equation 19 x 37, follow these steps:
1. Break down the multiplication into smaller, more manageable steps.
2. First, multiply 19 by the ones place of 37 (which is 7):
19 x 7 = 133
3. Then, multiply 19 by the tens place of 37 (which is 3), and remember to shift the result one pla... | 71 | 0 | 703 | Given the prompt and the response from the langauge model, extract the answer given by the model for the question.
# Question
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplication equation below?
19 x 37
Thi... | The final answer is determined from the repeated conclusion in the model's output that the solution to the multiplication of 19 and 37 is 703, confirmed through multiple methods of calculation. | gpt-4o-mini | 0 | true | The language model's answer of 703 is correct because the multiplication of 19 and 37 indeed equals 703. The calculation can be verified by performing the multiplication step by step: 19 multiplied by 37 equals 703. | Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.
# Prompt
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the solution to the long multiplicat... | [
[
"703",
"703",
"703",
"703"
],
[
"703"
],
[
"703"
],
[
"703",
"703"
],
[
"703"
],
[
"703",
"703"
]
] | [
[
true,
true,
true,
true
],
[
true
],
[
true
],
[
true,
true
],
[
true
],
[
true,
true
]
] | [
[
"The language model's answer of 703 is correct because the multiplication of 19 and 37 indeed equals 703. The calculation can be verified by performing the multiplication step by step: 19 multiplied by 37 equals 703.",
"The language model's answer of 703 is correct because the multiplication of 19 and 37 ... | [
[
"Given the prompt and the final answer from the langauge model and the correct final answer, determine if the language models answer is correct or not.\n\n# Prompt\n<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the... | [
"To solve the long multiplication equation 19 x 37, follow these steps:\n\n1. Break down the multiplication into smaller, more manageable steps.\n\n2. First, multiply 19 by the ones place of 37 (which is 7):\n\n 19 x 7 = 133\n\n3. Then, multiply 19 by the tens place of 37 (which is 3), and remember to shift the r... | [
"703",
"703",
"703",
"703",
"703",
"703"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: longmult\nExtracted Answer: 703\nWas Correct: True\nTarget: 703",
"role": "user"
},
{
"content": "To solve the long multiplication equation 19 x 37, follow these steps:\n\n1. Break down the multiplication into smaller, more manageable steps.\n\n2. First, ... |
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