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 | 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 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 125 | {"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\nUsing the numbers [96, 97, 68], create an equation that equals 125. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to find a combination of the given numbers [96, 97, 68] using basic arithmetic operations (+, -, *, /) such that the result equals 125.\n\nFirst, let's consider multiplication and addition since they are more likely to produce higher values quickly. We'll start... | countdown | To solve this problem, we need to find a combination of the given numbers [96, 97, 68] using basic arithmetic operations (+, -, *, /) such that the result equals 125.
First, let's consider multiplication and addition since they are more likely to produce higher values quickly. We'll start with multiplication and then ... | 0 | 0 | Step 1: 97 * 68 = 6496 | 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
Using the numbers [96, 97, 68], create an equation that equals 125. You can u... | 0 | false | Incorrect arithmetic in line: Step 1: 97 * 68 = 6496 | [
[
"Step 1: 97 * 68 = 6496"
],
[
"Step 1: 97 / 68 = 1.406\nStep 2: 1.406 - 0.406 = 1.000\nStep 3: 1.000 + 97 = 98\nStep 4: 98 - 97 = 1"
],
[
"Step 1: 97 - 96 = 1\nStep 2: 1 * 97 = 97",
"Step 1: 97 - 96 = 1\nStep 2: 1 * 97 = 97"
],
[
"Step 1: 97 - 96 = 1\nStep 2: 1 * 97 = 97\nStep 3: 9... | [
[
false
],
[
false
],
[
false,
false
],
[
false
]
] | [
[
"Incorrect arithmetic in line: Step 1: 97 * 68 = 6496"
],
[
"Incorrect arithmetic in line: Step 1: 97 / 68 = 1.406"
],
[
"Line uses unavailable numbers: Step 2: 1 * 97 = 97",
"Line uses unavailable numbers: Step 2: 1 * 97 = 97"
],
[
"Line uses unavailable numbers: Step 2: 1 * 97 = ... | [
[
""
],
[
""
],
[
"",
""
],
[
""
]
] | [
"To solve this problem, we need to find a combination of the given numbers [96, 97, 68] using basic arithmetic operations (+, -, *, /) such that the result equals 125.\n\nFirst, let's consider multiplication and addition since they are more likely to produce higher values quickly. We'll start with multiplication an... | [
"Step 1: 97 * 68 = 6496",
"Step 1: 97 / 68 = 1.406\nStep 2: 1.406 - 0.406 = 1.000\nStep 3: 1.000 + 97 = 98\nStep 4: 98 - 97 = 1",
"Step 1: 97 - 96 = 1\nStep 2: 1 * 97 = 97",
"Step 1: 97 - 96 = 1\nStep 2: 1 * 97 = 97\nStep 3: 97 + 97 = 194"
] | [
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 97 * 68 = 6496\nWas Correct: False\nTarget: 125",
"role": "user"
},
{
"content": "To solve this problem, we need to find a combination of the given numbers [96, 97, 68] using basic arithmetic operations (+, -, *, /) su... | ||
1 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 105 | {"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\nUsing the numbers [21, 80, 46], create an equation that equals 105. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to find a combination of the given numbers [21, 80, 46] using basic arithmetic operations that results in the target number 105. Let's break it down:\n\n1. First, let's try adding all three numbers together:\n 21 + 80 + 46 = 147\n\nThis doesn't equal 105, so ... | countdown | To solve this problem, we need to find a combination of the given numbers [21, 80, 46] using basic arithmetic operations that results in the target number 105. Let's break it down:
1. First, let's try adding all three numbers together:
21 + 80 + 46 = 147
This doesn't equal 105, so we'll need to subtract something ... | 1 | 0 | Step 1: 21 + 80 = 101
Step 2: 101 + 46 = 147
Step 3: 147 - 46 = 101
Step 4: 101 + 4 = 105 | 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
Using the numbers [21, 80, 46], create an equation that equals 105. You can u... | 0 | false | Line uses unavailable numbers: Step 3: 147 - 46 = 101 | [
[
"Step 1: 21 + 80 = 101\nStep 2: 101 + 46 = 147\nStep 3: 147 - 46 = 101\nStep 4: 101 + 4 = 105"
],
[
"Step 1: 21 + 80 = 101\nStep 2: 101 - 46 = 55\nStep 3: 55 + 4 = 59"
],
[
"Step 1: 21 + 80 = 101\nStep 2: 101 - 46 = 55\nStep 3: 55 + 4 = 59",
"Step 1: 21 + 80 = 101\nStep 2: 101 - 46 = 55\nS... | [
[
false
],
[
false
],
[
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
... | [
[
"Line uses unavailable numbers: Step 3: 147 - 46 = 101"
],
[
"Line uses unavailable numbers: Step 3: 55 + 4 = 59"
],
[
"Line uses unavailable numbers: Step 3: 55 + 4 = 59",
"Line uses unavailable numbers: Step 3: 55 + 46 = 101",
"Line uses unavailable numbers: Step 3: 55 + 46 = 101",
... | [
[
""
],
[
""
],
[
"",
"",
"",
"",
"",
"",
"",
"",
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"",
"",
"",
"",
"",
"",
"",
... | [
"To solve this problem, we need to find a combination of the given numbers [21, 80, 46] using basic arithmetic operations that results in the target number 105. Let's break it down:\n\n1. First, let's try adding all three numbers together:\n 21 + 80 + 46 = 147\n\nThis doesn't equal 105, so we'll need to subtract ... | [
"Step 1: 21 + 80 = 101\nStep 2: 101 + 46 = 147\nStep 3: 147 - 46 = 101\nStep 4: 101 + 4 = 105",
"Step 1: 21 + 80 = 101\nStep 2: 101 - 46 = 55\nStep 3: 55 + 4 = 59",
"Step 1: 21 + 80 = 101\nStep 2: 101 - 46 = 55\nStep 3: 55 + 4 = 59"
] | [
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 21 + 80 = 101\nStep 2: 101 + 46 = 147\nStep 3: 147 - 46 = 101\nStep 4: 101 + 4 = 105\nWas Correct: False\nTarget: 105",
"role": "user"
},
{
"content": "To solve this problem, we need to find a combination of the given ... | ||
2 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 500 | {"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\nUsing the numbers [6, 76, 96], create an equation that equals 500. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to use the numbers [6, 76, 96] exactly once and combine them using basic arithmetic operations to get the target number 500.\n\nHere\u2019s how we can break it down:\n\n1. First, let's try adding two of the numbers together:\n - We could add 76 and 96: 76 + 9... | countdown | To solve this problem, we need to use the numbers [6, 76, 96] exactly once and combine them using basic arithmetic operations to get the target number 500.
Here’s how we can break it down:
1. First, let's try adding two of the numbers together:
- We could add 76 and 96: 76 + 96 = 172
2. Now, we have 172 left from... | 2 | 0 | 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
Using the numbers [6, 76, 96], create an equation that equals 500. You can us... | 0 | false | No answer | [
[
""
]
] | [
[
false
]
] | [
[
"No answer"
]
] | [
[
""
]
] | [
"To solve this problem, we need to use the numbers [6, 76, 96] exactly once and combine them using basic arithmetic operations to get the target number 500.\n\nHere’s how we can break it down:\n\n1. First, let's try adding two of the numbers together:\n - We could add 76 and 96: 76 + 96 = 172\n\n2. Now, we have 1... | [
""
] | [
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \nWas Correct: False\nTarget: 500",
"role": "user"
},
{
"content": "To solve this problem, we need to use the numbers [6, 76, 96] exactly once and combine them using basic arithmetic operations to get the target number 500.\n\... | |||
3 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 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\nUsing the numbers [42, 12, 3], create an equation that equals 630. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to use the numbers [42, 12, 3] exactly once and combine them using basic arithmetic operations to get the target number 630.\n\nHere\u2019s how we can break it down:\n\n1. First, let's try multiplying two of the numbers together:\n - Multiplying 42 by 12 give... | countdown | To solve this problem, we need to use the numbers [42, 12, 3] exactly once and combine them using basic arithmetic operations to get the target number 630.
Here’s how we can break it down:
1. First, let's try multiplying two of the numbers together:
- Multiplying 42 by 12 gives us 504.
2. Now, we have 504 left to... | 3 | 0 | 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
Using the numbers [42, 12, 3], create an equation that equals 630. You can us... | 0 | false | No answer | [
[
""
]
] | [
[
false
]
] | [
[
"No answer"
]
] | [
[
""
]
] | [
"To solve this problem, we need to use the numbers [42, 12, 3] exactly once and combine them using basic arithmetic operations to get the target number 630.\n\nHere’s how we can break it down:\n\n1. First, let's try multiplying two of the numbers together:\n - Multiplying 42 by 12 gives us 504.\n\n2. Now, we have... | [
""
] | [
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \nWas Correct: False\nTarget: 630",
"role": "user"
},
{
"content": "To solve this problem, we need to use the numbers [42, 12, 3] exactly once and combine them using basic arithmetic operations to get the target number 630.\n\... | |||
4 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 194 | {"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\nUsing the numbers [18, 85, 91], create an equation that equals 194. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to find a combination of the given numbers [18, 85, 91] using basic arithmetic operations (+, -, *, /) such that the result equals 194.\n\nFirst, let's try some combinations:\n\nStep 1: Let's start with addition and subtraction since these are simple operations... | countdown | To solve this problem, we need to find a combination of the given numbers [18, 85, 91] using basic arithmetic operations (+, -, *, /) such that the result equals 194.
First, let's try some combinations:
Step 1: Let's start with addition and subtraction since these are simple operations and might lead us closer to our... | 4 | 0 | Step 1: 18 + 85 + 91 = 194 | 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
Using the numbers [18, 85, 91], create an equation that equals 194. You can u... | 0 | true | [
[
"Step 1: 18 + 85 + 91 = 194"
],
[
"The result is 194."
],
[
"Step 1: 18 + 85 + 91 = 194"
],
[
"Step 1: 18 + 85 + 91 = 194\nStep 2: This is the only way to get the result using the given numbers."
],
[
"Step 1: 18 + 85 + 91 = 194\nStep 2: The previous check was incorrect. Let's ... | [
[
true
],
[
false
],
[
true
],
[
false
],
[
false,
false
],
[
false,
false
]
] | [
[
""
],
[
"Expected a single '=' separating expression and result"
],
[
""
],
[
"Missing '=' in line: Step 2: This is the only way to get the result using the given numbers."
],
[
"Missing '=' in line: Step 2: The previous check was incorrect. Let's solve it again.",
"Incorre... | [
[
""
],
[
""
],
[
""
],
[
""
],
[
"",
""
],
[
"",
""
]
] | [
"To solve this problem, we need to find a combination of the given numbers [18, 85, 91] using basic arithmetic operations (+, -, *, /) such that the result equals 194.\n\nFirst, let's try some combinations:\n\nStep 1: Let's start with addition and subtraction since these are simple operations and might lead us clos... | [
"Step 1: 18 + 85 + 91 = 194",
"The result is 194.",
"Step 1: 18 + 85 + 91 = 194",
"Step 1: 18 + 85 + 91 = 194\nStep 2: This is the only way to get the result using the given numbers.",
"Step 1: 18 - 91 + 85 = 194",
"Step 1: 18 - 91 + 85 = 194"
] | [
true,
false,
true,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 18 + 85 + 91 = 194\nWas Correct: True\nTarget: 194",
"role": "user"
},
{
"content": "To solve this problem, we need to find a combination of the given numbers [18, 85, 91] using basic arithmetic operations (+, -, *, /)... | |||
5 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 103 | {"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\nUsing the numbers [86, 69, 52], create an equation that equals 103. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 1 | [true] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to use the numbers [86, 69, 52] exactly once and combine them using addition, subtraction, multiplication, or division to get the target number 103.\n\nHere\u2019s one way to achieve this:\n\nStep 1: Start with the largest number, 86.\nStep 2: Add 69 to 86, whi... | countdown | To solve this problem, we need to use the numbers [86, 69, 52] exactly once and combine them using addition, subtraction, multiplication, or division to get the target number 103.
Here’s one way to achieve this:
Step 1: Start with the largest number, 86.
Step 2: Add 69 to 86, which gives us 155.
Step 3: Subtract 52 f... | 5 | 0 | Step 1: 86 + 69 = 155
Step 2: 155 - 52 = 103 | 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
Using the numbers [86, 69, 52], create an equation that equals 103. You can u... | 0 | true | [
[
"Step 1: 86 + 69 = 155\nStep 2: 155 - 52 = 103"
],
[
"Step 1: 86 + 69 = 155\nStep 2: 155 - 52 = 103"
],
[
"Step 1: 86 + 69 = 155\nStep 2: 155 - 52 = 103"
],
[
"Step 1: 86 + 69 = 155\nStep 2: 155 - 52 = 103"
],
[
"Step 1: 86 + 69 = 155\nStep 2: 155 - 52 = 103"
],
[
"Step... | [
[
true
],
[
true
],
[
true
],
[
true
],
[
true
],
[
true,
true
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
"",
""
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
"",
""
]
] | [
"To solve this problem, we need to use the numbers [86, 69, 52] exactly once and combine them using addition, subtraction, multiplication, or division to get the target number 103.\n\nHere’s one way to achieve this:\n\nStep 1: Start with the largest number, 86.\nStep 2: Add 69 to 86, which gives us 155.\nStep 3: Su... | [
"Step 1: 86 + 69 = 155\nStep 2: 155 - 52 = 103",
"Step 1: 86 + 69 = 155\nStep 2: 155 - 52 = 103",
"Step 1: 86 + 69 = 155\nStep 2: 155 - 52 = 103",
"Step 1: 86 + 69 = 155\nStep 2: 155 - 52 = 103",
"Step 1: 86 + 69 = 155\nStep 2: 155 - 52 = 103",
"Step 1: 86 + 69 = 155\nStep 2: 155 - 52 = 103"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 86 + 69 = 155\nStep 2: 155 - 52 = 103\nWas Correct: True\nTarget: 103",
"role": "user"
},
{
"content": "To solve this problem, we need to use the numbers [86, 69, 52] exactly once and combine them using addition, subtr... | |||
6 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 354 | {"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\nUsing the numbers [63, 7, 87], create an equation that equals 354. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to find a combination of the given numbers [63, 7, 87] using basic arithmetic operations that results in the target number 354. Let's break it down:\n\nStep 1: We start with the largest number, which is 87. \n - 87 * 4 = 348\n\nStep 2: Now we have 348 left to... | countdown | To solve this problem, we need to find a combination of the given numbers [63, 7, 87] using basic arithmetic operations that results in the target number 354. Let's break it down:
Step 1: We start with the largest number, which is 87.
- 87 * 4 = 348
Step 2: Now we have 348 left to reach our target of 354.
- 34... | 6 | 0 | Step 1: 87 * 4 = 348
Step 2: 348 + 6 = 354 | 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
Using the numbers [63, 7, 87], create an equation that equals 354. You can us... | 0 | false | Line uses unavailable numbers: Step 1: 87 * 4 = 348 | [
[
"Step 1: 87 * 4 = 348\nStep 2: 348 + 6 = 354"
],
[
"Step 1: 87 * 4 = 348\nStep 2: 348 + 7 = 355"
],
[
"In reality, achieving 354 exactly with integers leads to complications. However, if weallow for infinitesimals or fractional operations, we can achieve the desired result."
],
[
""
... | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"Line uses unavailable numbers: Step 1: 87 * 4 = 348"
],
[
"Line uses unavailable numbers: Step 1: 87 * 4 = 348"
],
[
"Expected a single '=' separating expression and result"
],
[
"No answer"
],
[
"No answer"
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve this problem, we need to find a combination of the given numbers [63, 7, 87] using basic arithmetic operations that results in the target number 354. Let's break it down:\n\nStep 1: We start with the largest number, which is 87. \n - 87 * 4 = 348\n\nStep 2: Now we have 348 left to reach our target of 35... | [
"Step 1: 87 * 4 = 348\nStep 2: 348 + 6 = 354",
"Step 1: 87 * 4 = 348\nStep 2: 348 + 7 = 355",
"In reality, achieving 354 exactly with integers leads to complications. However, if weallow for infinitesimals or fractional operations, we can achieve the desired result.",
"",
""
] | [
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 87 * 4 = 348\nStep 2: 348 + 6 = 354\nWas Correct: False\nTarget: 354",
"role": "user"
},
{
"content": "To solve this problem, we need to find a combination of the given numbers [63, 7, 87] using basic arithmetic operat... | ||
7 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 102 | {"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\nUsing the numbers [8, 50, 19], create an equation that equals 102. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be... | 1 | [true] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to find a combination of the given numbers [8, 50, 19] using basic arithmetic operations that results in the target number 102.\n\nStep 1: First, let's try adding two of the numbers together.\n8 + 50 = 58\n\nStep 2: Now, we have 58 left from our original set. W... | countdown | To solve this problem, we need to find a combination of the given numbers [8, 50, 19] using basic arithmetic operations that results in the target number 102.
Step 1: First, let's try adding two of the numbers together.
8 + 50 = 58
Step 2: Now, we have 58 left from our original set. We can add another number to reach... | 7 | 0 | Step 1: (8 * 19) = 152
Step 2: 152 - 50 = 102 | 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
Using the numbers [8, 50, 19], create an equation that equals 102. You can us... | 0 | true | [
[
"Step 1: (8 * 19) = 152\nStep 2: 152 - 50 = 102"
],
[
""
],
[
""
],
[
"Step 1: 8 * 19 = 152\nStep 2: 152 - 50 = 102",
"Step 1: 8 * 19 = 152\nStep 2: 152 - 50 = 102",
"Step 1: 8 * 19 = 152\nStep 2: 152 - 50 = 102"
],
[
"Step 1: 8 * 19 = 152\nStep 2: 152 - 50 = 102",
... | [
[
true
],
[
false
],
[
false
],
[
true,
true,
true
],
[
true,
true,
true
],
[
true
]
] | [
[
""
],
[
"No answer"
],
[
"No answer"
],
[
"",
"",
""
],
[
"",
"",
""
],
[
""
]
] | [
[
""
],
[
""
],
[
""
],
[
"",
"",
""
],
[
"",
"",
""
],
[
""
]
] | [
"To solve this problem, we need to find a combination of the given numbers [8, 50, 19] using basic arithmetic operations that results in the target number 102.\n\nStep 1: First, let's try adding two of the numbers together.\n8 + 50 = 58\n\nStep 2: Now, we have 58 left from our original set. We can add another numbe... | [
"Step 1: (8 * 19) = 152\nStep 2: 152 - 50 = 102",
"",
"",
"Step 1: 8 * 19 = 152\nStep 2: 152 - 50 = 102",
"Step 1: 8 * 19 = 152\nStep 2: 152 - 50 = 102",
"Step 1: 8 * 19 = 152\nStep 2: 152 - 50 = 102"
] | [
true,
false,
false,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: (8 * 19) = 152\nStep 2: 152 - 50 = 102\nWas Correct: True\nTarget: 102",
"role": "user"
},
{
"content": "To solve this problem, we need to find a combination of the given numbers [8, 50, 19] using basic arithmetic oper... | |||
8 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 124 | {"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\nUsing the numbers [38, 46, 40], create an equation that equals 124. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 1 | [true] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to find a combination of the given numbers [38, 46, 40] using basic arithmetic operations (+, -, *, /) that equals 124.\n\nStep 1: First, let's try adding all three numbers together.\n38 + 46 + 40 = 124\n\nThis works because when we add these numbers together, ... | countdown | To solve this problem, we need to find a combination of the given numbers [38, 46, 40] using basic arithmetic operations (+, -, *, /) that equals 124.
Step 1: First, let's try adding all three numbers together.
38 + 46 + 40 = 124
This works because when we add these numbers together, we get exactly 124. There are no ... | 8 | 0 | Step 1: 38 + 46 + 40 = 124 | 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
Using the numbers [38, 46, 40], create an equation that equals 124. You can u... | 0 | true | [
[
"Step 1: 38 + 46 + 40 = 124"
],
[
"Step 1: 38 + 46 = 84\nStep 2: 84 + 40 = 124"
],
[
""
]
] | [
[
true
],
[
true
],
[
false
]
] | [
[
""
],
[
""
],
[
"No answer"
]
] | [
[
""
],
[
""
],
[
""
]
] | [
"To solve this problem, we need to find a combination of the given numbers [38, 46, 40] using basic arithmetic operations (+, -, *, /) that equals 124.\n\nStep 1: First, let's try adding all three numbers together.\n38 + 46 + 40 = 124\n\nThis works because when we add these numbers together, we get exactly 124. The... | [
"Step 1: 38 + 46 + 40 = 124",
"Step 1: 38 + 46 = 84\nStep 2: 84 + 40 = 124",
""
] | [
true,
true,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 38 + 46 + 40 = 124\nWas Correct: True\nTarget: 124",
"role": "user"
},
{
"content": "To solve this problem, we need to find a combination of the given numbers [38, 46, 40] using basic arithmetic operations (+, -, *, /)... | |||
9 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 132 | {"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\nUsing the numbers [92, 21, 19], create an equation that equals 132. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to use the numbers [92, 21, 19] exactly once and combine them using basic arithmetic operations to get the target number 132.\n\nStep 1: First, let's try combining two of the numbers with addition or subtraction. Let's start by adding 92 and 21.\n\n92 + 21 = 11... | countdown | To solve this problem, we need to use the numbers [92, 21, 19] exactly once and combine them using basic arithmetic operations to get the target number 132.
Step 1: First, let's try combining two of the numbers with addition or subtraction. Let's start by adding 92 and 21.
92 + 21 = 113
Step 2: Now we have 113 left ... | 9 | 0 | Step 1: 92 + 21 = 113
Step 2: 113 + 19 = 132 | 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
Using the numbers [92, 21, 19], create an equation that equals 132. You can u... | 0 | true | [
[
"Step 1: 92 + 21 = 113\nStep 2: 113 + 19 = 132"
],
[
"Step 1: 92 + 21 = 113\nStep 2: 113 + 19 = 132"
],
[
"Step 1: 92 + 21 = 113\nStep 2: 113 - 19 = 94"
],
[
"Step 1: 92 + 21 = 113\nStep 2: 113 + 19 = 132"
],
[
"Step 1: 92 + 21 = 113\nStep 2: 113 - 19 = 94"
],
[
"Step 1... | [
[
true
],
[
true
],
[
false
],
[
true
],
[
false
],
[
true,
false,
true,
false,
true,
false,
true,
false,
true,
false,
true,
false,
true,
false,
true,
false,
true,
false,
true,
false,
true,
... | [
[
""
],
[
""
],
[
"Incorrect final answer"
],
[
""
],
[
"Incorrect final answer"
],
[
"",
"Incorrect final answer",
"",
"Incorrect final answer",
"",
"Incorrect final answer",
"",
"Incorrect final answer",
"",
"Incorrect final answer",
... | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
]
] | [
"To solve this problem, we need to use the numbers [92, 21, 19] exactly once and combine them using basic arithmetic operations to get the target number 132.\n\nStep 1: First, let's try combining two of the numbers with addition or subtraction. Let's start by adding 92 and 21.\n\n92 + 21 = 113\n\nStep 2: Now we hav... | [
"Step 1: 92 + 21 = 113\nStep 2: 113 + 19 = 132",
"Step 1: 92 + 21 = 113\nStep 2: 113 + 19 = 132",
"Step 1: 92 + 21 = 113\nStep 2: 113 - 19 = 94",
"Step 1: 92 + 21 = 113\nStep 2: 113 + 19 = 132",
"Step 1: 92 + 21 = 113\nStep 2: 113 - 19 = 94",
"Step 1: 92 + 21 = 113\nStep 2: 113 - 19 = 94"
] | [
true,
true,
false,
true,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 92 + 21 = 113\nStep 2: 113 + 19 = 132\nWas Correct: True\nTarget: 132",
"role": "user"
},
{
"content": "To solve this problem, we need to use the numbers [92, 21, 19] exactly once and combine them using basic arithmeti... | |||
10 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 322 | {"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\nUsing the numbers [23, 21, 7], create an equation that equals 322. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem using the numbers [23, 21, 7] and creating an equation that equals 322, we need to find a combination of these numbers with basic arithmetic operations that will yield the desired result.\n\nHere\u2019s how we can break it down:\n\n1. **Identify possible combinations**:... | countdown | To solve this problem using the numbers [23, 21, 7] and creating an equation that equals 322, we need to find a combination of these numbers with basic arithmetic operations that will yield the desired result.
Here’s how we can break it down:
1. **Identify possible combinations**: We need to try different combination... | 10 | 0 | Step 1: 23 * 7 = 161
Step 2: 161 + 21 = 182 | 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
Using the numbers [23, 21, 7], create an equation that equals 322. You can us... | 0 | false | Incorrect final answer | [
[
"Step 1: 23 * 7 = 161\nStep 2: 161 + 21 = 182"
],
[
""
]
] | [
[
false
],
[
false
]
] | [
[
"Incorrect final answer"
],
[
"No answer"
]
] | [
[
""
],
[
""
]
] | [
"To solve this problem using the numbers [23, 21, 7] and creating an equation that equals 322, we need to find a combination of these numbers with basic arithmetic operations that will yield the desired result.\n\nHere’s how we can break it down:\n\n1. **Identify possible combinations**: We need to try different co... | [
"Step 1: 23 * 7 = 161\nStep 2: 161 + 21 = 182",
""
] | [
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 23 * 7 = 161\nStep 2: 161 + 21 = 182\nWas Correct: False\nTarget: 322",
"role": "user"
},
{
"content": "To solve this problem using the numbers [23, 21, 7] and creating an equation that equals 322, we need to find a co... | ||
11 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 206 | {"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\nUsing the numbers [83, 65, 58], create an equation that equals 206. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to find a combination of the given numbers [83, 65, 58] using basic arithmetic operations that equal 206. Let's break it down:\n\n1. First, let's try adding all three numbers together:\n 83 + 65 + 58 = 206\n\nThis equation uses all three numbers exactly once ... | countdown | To solve this problem, we need to find a combination of the given numbers [83, 65, 58] using basic arithmetic operations that equal 206. Let's break it down:
1. First, let's try adding all three numbers together:
83 + 65 + 58 = 206
This equation uses all three numbers exactly once and adds them up to get the targe... | 11 | 0 | Step 1: 83 + 65 + 58 = 206 | 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
Using the numbers [83, 65, 58], create an equation that equals 206. You can u... | 0 | true | [
[
"Step 1: 83 + 65 + 58 = 206"
],
[
""
],
[
"We cannot find a valid combination of all three numbers that equals 206 using basic arithmetic operations."
],
[
"After trying various combinations, I cannot find a valid solution using all three numbers exactly once and basic arithmetic opera... | [
[
true
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
""
],
[
"No answer"
],
[
"Expected a single '=' separating expression and result"
],
[
"Expected a single '=' separating expression and result"
],
[
"No answer"
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve this problem, we need to find a combination of the given numbers [83, 65, 58] using basic arithmetic operations that equal 206. Let's break it down:\n\n1. First, let's try adding all three numbers together:\n 83 + 65 + 58 = 206\n\nThis equation uses all three numbers exactly once and adds them up to get... | [
"Step 1: 83 + 65 + 58 = 206",
"",
"We cannot find a valid combination of all three numbers that equals 206 using basic arithmetic operations.",
"After trying various combinations, I cannot find a valid solution using all three numbers exactly once and basic arithmetic operations.",
""
] | [
true,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 83 + 65 + 58 = 206\nWas Correct: True\nTarget: 206",
"role": "user"
},
{
"content": "To solve this problem, we need to find a combination of the given numbers [83, 65, 58] using basic arithmetic operations that equal 2... | |||
12 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 101 | {"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\nUsing the numbers [89, 48, 60], create an equation that equals 101. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 1 | [true] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to find a combination of the given numbers [89, 48, 60] using basic arithmetic operations (+, -, *, /) such that the result equals 101.\n\nStep 1: First, let's try adding all three numbers together.\n89 + 48 + 60 = 197\n\nThis doesn't equal 101, so we'll need t... | countdown | To solve this problem, we need to find a combination of the given numbers [89, 48, 60] using basic arithmetic operations (+, -, *, /) such that the result equals 101.
Step 1: First, let's try adding all three numbers together.
89 + 48 + 60 = 197
This doesn't equal 101, so we'll need to subtract one of the numbers fro... | 12 | 0 | Step 1: 89 - 48 = 41
Step 2: 41 + 60 = 101 | 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
Using the numbers [89, 48, 60], create an equation that equals 101. You can u... | 0 | true | [
[
"Step 1: 89 - 48 = 41\nStep 2: 41 + 60 = 101"
],
[
"Step 1: 89 - 48 = 41\nStep 2: 41 + 60 = 101"
],
[
"Step 1: 89 - 48 = 41\nStep 2: 41 + 60 = 101"
],
[
"Step 1: 89 + 60 = 149\nStep 2: 149 - 48 = 101"
],
[
"Step 1: 89 + 60 = 149\nStep 2: 149 - 48 = 101"
],
[
"Step 1: 89... | [
[
true
],
[
true
],
[
true
],
[
true
],
[
true
],
[
true
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve this problem, we need to find a combination of the given numbers [89, 48, 60] using basic arithmetic operations (+, -, *, /) such that the result equals 101.\n\nStep 1: First, let's try adding all three numbers together.\n89 + 48 + 60 = 197\n\nThis doesn't equal 101, so we'll need to subtract one of the n... | [
"Step 1: 89 - 48 = 41\nStep 2: 41 + 60 = 101",
"Step 1: 89 - 48 = 41\nStep 2: 41 + 60 = 101",
"Step 1: 89 - 48 = 41\nStep 2: 41 + 60 = 101",
"Step 1: 89 + 60 = 149\nStep 2: 149 - 48 = 101",
"Step 1: 89 + 60 = 149\nStep 2: 149 - 48 = 101",
"Step 1: 89 + 60 = 149\nStep 2: 149 - 48 = 101"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 89 - 48 = 41\nStep 2: 41 + 60 = 101\nWas Correct: True\nTarget: 101",
"role": "user"
},
{
"content": "To solve this problem, we need to find a combination of the given numbers [89, 48, 60] using basic arithmetic operat... | |||
13 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 108 | {"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\nUsing the numbers [73, 30, 65], create an equation that equals 108. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 1 | [true] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to find a combination of the given numbers [73, 30, 65] using basic arithmetic operations (+, -, *, /) such that the result equals 108.\n\nStep 1: First, let's try adding all three numbers together.\n73 + 30 + 65 = 108\n\nThis satisfies the condition of using e... | countdown | To solve this problem, we need to find a combination of the given numbers [73, 30, 65] using basic arithmetic operations (+, -, *, /) such that the result equals 108.
Step 1: First, let's try adding all three numbers together.
73 + 30 + 65 = 108
This satisfies the condition of using each number exactly once and resul... | 13 | 0 | Step 1: 73 + 30 + 65 = 108 | 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
Using the numbers [73, 30, 65], create an equation that equals 108. You can u... | 0 | false | Incorrect arithmetic in line: Step 1: 73 + 30 + 65 = 108 | [
[
"Step 1: 73 + 30 + 65 = 108"
],
[
"Step 1: 73 - 30 = 43\nStep 2: 43 + 65 = 108"
],
[
""
]
] | [
[
false
],
[
true
],
[
false
]
] | [
[
"Incorrect arithmetic in line: Step 1: 73 + 30 + 65 = 108"
],
[
""
],
[
"No answer"
]
] | [
[
""
],
[
""
],
[
""
]
] | [
"To solve this problem, we need to find a combination of the given numbers [73, 30, 65] using basic arithmetic operations (+, -, *, /) such that the result equals 108.\n\nStep 1: First, let's try adding all three numbers together.\n73 + 30 + 65 = 108\n\nThis satisfies the condition of using each number exactly once... | [
"Step 1: 73 + 30 + 65 = 108",
"Step 1: 73 - 30 = 43\nStep 2: 43 + 65 = 108",
""
] | [
false,
true,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 73 + 30 + 65 = 108\nWas Correct: False\nTarget: 108",
"role": "user"
},
{
"content": "To solve this problem, we need to find a combination of the given numbers [73, 30, 65] using basic arithmetic operations (+, -, *, /... | ||
14 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 134 | {"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\nUsing the numbers [74, 97, 37], create an equation that equals 134. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 1 | [true] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to find a combination of the given numbers [74, 97, 37] using basic arithmetic operations (+, -, *, /) that equals 134. Let's start by trying different combinations and operations.\n\nStep 1: First, let's try adding the two larger numbers (97 and 37).\n97 + 37 ... | countdown | To solve this problem, we need to find a combination of the given numbers [74, 97, 37] using basic arithmetic operations (+, -, *, /) that equals 134. Let's start by trying different combinations and operations.
Step 1: First, let's try adding the two larger numbers (97 and 37).
97 + 37 = 134
This works! Now, let's b... | 14 | 0 | Step 1: 97 + 37 = 134 | 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
Using the numbers [74, 97, 37], create an equation that equals 134. You can u... | 0 | true | [
[
"Step 1: 97 + 37 = 134"
],
[
"Step 1: 97 - 37 = 60\nStep 2: 60 + 74 = 134"
],
[
"Step 1: 97 - 37 = 60\nStep 2: 60 + 74 = 134"
],
[
"Step 1: 97 - 37 = 60\nStep 2: 60 + 74 = 134"
],
[
"Step 1: 97 - 37 = 60\nStep 2: 60 + 74 = 134",
"Step 1: 97 - 37 = 60\nStep 2: 60 + 74 = 134"... | [
[
true
],
[
true
],
[
true
],
[
true
],
[
true,
true
],
[
true,
true,
true
]
] | [
[
""
],
[
""
],
[
""
],
[
""
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[
"",
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[
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[
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[
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[
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[
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[
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[
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"To solve this problem, we need to find a combination of the given numbers [74, 97, 37] using basic arithmetic operations (+, -, *, /) that equals 134. Let's start by trying different combinations and operations.\n\nStep 1: First, let's try adding the two larger numbers (97 and 37).\n97 + 37 = 134\n\nThis works! No... | [
"Step 1: 97 + 37 = 134",
"Step 1: 97 - 37 = 60\nStep 2: 60 + 74 = 134",
"Step 1: 97 - 37 = 60\nStep 2: 60 + 74 = 134",
"Step 1: 97 - 37 = 60\nStep 2: 60 + 74 = 134",
"Step 1: 97 - 37 = 60\nStep 2: 60 + 74 = 134",
"Step 1: 97 - 37 = 60\nStep 2: 60 + 74 = 134"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 97 + 37 = 134\nWas Correct: True\nTarget: 134",
"role": "user"
},
{
"content": "To solve this problem, we need to find a combination of the given numbers [74, 97, 37] using basic arithmetic operations (+, -, *, /) that... | |||
15 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 113 | {"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\nUsing the numbers [90, 46, 69], create an equation that equals 113. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to find a combination of the given numbers [90, 46, 69] using basic arithmetic operations (+, -, *, /) such that the result equals 113.\n\nStep 1: First, let's try adding all three numbers together.\n90 + 46 + 69 = 115\n\nStep 2: The sum is 115, which is too hi... | countdown | To solve this problem, we need to find a combination of the given numbers [90, 46, 69] using basic arithmetic operations (+, -, *, /) such that the result equals 113.
Step 1: First, let's try adding all three numbers together.
90 + 46 + 69 = 115
Step 2: The sum is 115, which is too high. We need to reduce it further.... | 15 | 0 | Step 1: 90 + 46 - 69 = 115
Step 2: 115 * 2 = 230 | 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
Using the numbers [90, 46, 69], create an equation that equals 113. You can u... | 0 | false | Incorrect arithmetic in line: Step 1: 90 + 46 - 69 = 115 | [
[
"Step 1: 90 + 46 - 69 = 115\nStep 2: 115 * 2 = 230"
],
[
""
]
] | [
[
false
],
[
false
]
] | [
[
"Incorrect arithmetic in line: Step 1: 90 + 46 - 69 = 115"
],
[
"No answer"
]
] | [
[
""
],
[
""
]
] | [
"To solve this problem, we need to find a combination of the given numbers [90, 46, 69] using basic arithmetic operations (+, -, *, /) such that the result equals 113.\n\nStep 1: First, let's try adding all three numbers together.\n90 + 46 + 69 = 115\n\nStep 2: The sum is 115, which is too high. We need to reduce i... | [
"Step 1: 90 + 46 - 69 = 115\nStep 2: 115 * 2 = 230",
""
] | [
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 90 + 46 - 69 = 115\nStep 2: 115 * 2 = 230\nWas Correct: False\nTarget: 113",
"role": "user"
},
{
"content": "To solve this problem, we need to find a combination of the given numbers [90, 46, 69] using basic arithmetic... | ||
16 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 181 | {"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\nUsing the numbers [49, 64, 5], create an equation that equals 181. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to combine the given numbers [49, 64, 5] using basic arithmetic operations (+, -, *, /) such that the result equals 181.\n\nStep 1: First, let's try adding two of the numbers together.\n49 + 64 = 113\n\nStep 2: Now, we have 113 left from our initial addition. W... | countdown | To solve this problem, we need to combine the given numbers [49, 64, 5] using basic arithmetic operations (+, -, *, /) such that the result equals 181.
Step 1: First, let's try adding two of the numbers together.
49 + 64 = 113
Step 2: Now, we have 113 left from our initial addition. We need to reach 181. One way to d... | 16 | 0 | 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
Using the numbers [49, 64, 5], create an equation that equals 181. You can us... | 0 | false | No answer | [
[
""
]
] | [
[
false
]
] | [
[
"No answer"
]
] | [
[
""
]
] | [
"To solve this problem, we need to combine the given numbers [49, 64, 5] using basic arithmetic operations (+, -, *, /) such that the result equals 181.\n\nStep 1: First, let's try adding two of the numbers together.\n49 + 64 = 113\n\nStep 2: Now, we have 113 left from our initial addition. We need to reach 181. On... | [
""
] | [
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \nWas Correct: False\nTarget: 181",
"role": "user"
},
{
"content": "To solve this problem, we need to combine the given numbers [49, 64, 5] using basic arithmetic operations (+, -, *, /) such that the result equals 181.\n\nSte... | |||
17 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 973 | {"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\nUsing the numbers [15, 71, 92], create an equation that equals 973. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to combine the given numbers [15, 71, 92] using basic arithmetic operations (+, -, *, /) such that the result equals 973. Let's break it down:\n\nStep 1: We start with the largest number, which is 92. If we divide 92 by any of the other numbers (15 or 71), we g... | countdown | To solve this problem, we need to combine the given numbers [15, 71, 92] using basic arithmetic operations (+, -, *, /) such that the result equals 973. Let's break it down:
Step 1: We start with the largest number, which is 92. If we divide 92 by any of the other numbers (15 or 71), we get a very small result that wo... | 17 | 0 | 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
Using the numbers [15, 71, 92], create an equation that equals 973. You can u... | 0 | false | No answer | [
[
""
]
] | [
[
false
]
] | [
[
"No answer"
]
] | [
[
""
]
] | [
"To solve this problem, we need to combine the given numbers [15, 71, 92] using basic arithmetic operations (+, -, *, /) such that the result equals 973. Let's break it down:\n\nStep 1: We start with the largest number, which is 92. If we divide 92 by any of the other numbers (15 or 71), we get a very small result ... | [
""
] | [
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \nWas Correct: False\nTarget: 973",
"role": "user"
},
{
"content": "To solve this problem, we need to combine the given numbers [15, 71, 92] using basic arithmetic operations (+, -, *, /) such that the result equals 973. Let's... | |||
18 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 139 | {"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\nUsing the numbers [46, 56, 37], create an equation that equals 139. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 1 | [true] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to find a combination of the given numbers [46, 56, 37] using basic arithmetic operations (+, -, *, /) that equals 139.\n\nStep 1: Let's start with multiplication because it often provides large numbers quickly.\nMultiplying 46 and 37 gives us 1582.\n\nStep 2: ... | countdown | To solve this problem, we need to find a combination of the given numbers [46, 56, 37] using basic arithmetic operations (+, -, *, /) that equals 139.
Step 1: Let's start with multiplication because it often provides large numbers quickly.
Multiplying 46 and 37 gives us 1582.
Step 2: Now, we have 1582 remaining from ... | 18 | 0 | Step 1: 46 + 56 + 37 = 139 | 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
Using the numbers [46, 56, 37], create an equation that equals 139. You can u... | 0 | true | [
[
"Step 1: 46 + 56 + 37 = 139"
],
[
"Step 1: 46 + 56 = 102\nStep 2: 102 - 37 = 65\nStep 3: 65 + 46 = 111"
],
[
"Step 1: 46 + 56 + 37 = 139"
],
[
"Step 1: 46 + 56 + 37 = 139"
],
[
"Step 1: 46 + 56 + 37 = 139",
"Step 1: 46 + 56 + 37 = 139",
"Step 1: 46 + 56 + 37 = 139",
... | [
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... | [
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"Line uses unavailable numbers: Step 3: 65 + 46 = 111"
],
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"To solve this problem, we need to find a combination of the given numbers [46, 56, 37] using basic arithmetic operations (+, -, *, /) that equals 139.\n\nStep 1: Let's start with multiplication because it often provides large numbers quickly.\nMultiplying 46 and 37 gives us 1582.\n\nStep 2: Now, we have 1582 remai... | [
"Step 1: 46 + 56 + 37 = 139",
"Step 1: 46 + 56 = 102\nStep 2: 102 - 37 = 65\nStep 3: 65 + 46 = 111",
"Step 1: 46 + 56 + 37 = 139",
"Step 1: 46 + 56 + 37 = 139",
"Step 1: 46 + 56 + 37 = 139"
] | [
true,
false,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 46 + 56 + 37 = 139\nWas Correct: True\nTarget: 139",
"role": "user"
},
{
"content": "To solve this problem, we need to find a combination of the given numbers [46, 56, 37] using basic arithmetic operations (+, -, *, /)... | |||
19 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 162 | {"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\nUsing the numbers [41, 45, 76], create an equation that equals 162. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 1 | [true] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to find a combination of the given numbers [41, 45, 76] using basic arithmetic operations (+, -, *, /) that equals 162.\n\nStep 1: Let's start with multiplication because it often gives us large products quickly.\n - First, try multiplying 76 by any of the nu... | countdown | To solve this problem, we need to find a combination of the given numbers [41, 45, 76] using basic arithmetic operations (+, -, *, /) that equals 162.
Step 1: Let's start with multiplication because it often gives us large products quickly.
- First, try multiplying 76 by any of the numbers (41, 45, or 76).
76 ... | 19 | 0 | Step 1: 41 + 45 = 86
Step 2: 86 + 76 = 162 | 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
Using the numbers [41, 45, 76], create an equation that equals 162. You can u... | 0 | true | [
[
"Step 1: 41 + 45 = 86\nStep 2: 86 + 76 = 162"
],
[
"Step 1: 41 + 45 = 86\nStep 2: 86 + 76 = 162"
],
[
"Step 1: 41 + 45 = 86\nStep 2: 86 + 76 = 162"
],
[
"Step 1: 41 + 45 = 86\nStep 2: 86 + 76 = 162"
],
[
"Step 1: 41 + 45 = 86\nStep 2: 86 + 76 = 162"
],
[
"Step 1: 41 + 4... | [
[
true
],
[
true
],
[
true
],
[
true
],
[
true
],
[
true,
true,
true
]
] | [
[
""
],
[
""
],
[
""
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[
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[
""
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[
"",
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[
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[
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[
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[
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[
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"To solve this problem, we need to find a combination of the given numbers [41, 45, 76] using basic arithmetic operations (+, -, *, /) that equals 162.\n\nStep 1: Let's start with multiplication because it often gives us large products quickly.\n - First, try multiplying 76 by any of the numbers (41, 45, or 76).\... | [
"Step 1: 41 + 45 = 86\nStep 2: 86 + 76 = 162",
"Step 1: 41 + 45 = 86\nStep 2: 86 + 76 = 162",
"Step 1: 41 + 45 = 86\nStep 2: 86 + 76 = 162",
"Step 1: 41 + 45 = 86\nStep 2: 86 + 76 = 162",
"Step 1: 41 + 45 = 86\nStep 2: 86 + 76 = 162",
"Step 1: 41 + 45 = 86\nStep 2: 86 + 76 = 162"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 41 + 45 = 86\nStep 2: 86 + 76 = 162\nWas Correct: True\nTarget: 162",
"role": "user"
},
{
"content": "To solve this problem, we need to find a combination of the given numbers [41, 45, 76] using basic arithmetic operat... | |||
20 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 151 | {"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\nUsing the numbers [2, 90, 63], create an equation that equals 151. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to use the numbers [2, 90, 63] exactly once and apply basic arithmetic operations (+, -, *, /) to get the target number 151.\n\nHere\u2019s how we can approach it:\n\n1. Start with one of the numbers (let's choose 90).\n2. Add another number (we'll add 63 next ... | countdown | To solve this problem, we need to use the numbers [2, 90, 63] exactly once and apply basic arithmetic operations (+, -, *, /) to get the target number 151.
Here’s how we can approach it:
1. Start with one of the numbers (let's choose 90).
2. Add another number (we'll add 63 next to 90).
3. Use multiplication or divis... | 20 | 0 | Step 1: 90 - 63 = 27
Step 2: 27 * 63 = 1697 (This is still too large)
Step 3: Corrected approach: 90 - 63 = 27
Step 4: 27 + 90 = 117
Step 5: 117 + 63 = 180
Step 6: Final adjustment: 180 - 27 = 153 | 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
Using the numbers [2, 90, 63], create an equation that equals 151. You can us... | 0 | false | Could not evaluate line: Step 2: 27 * 63 = 1697 (This is still too large) | [
[
"Step 1: 90 - 63 = 27\nStep 2: 27 * 63 = 1697 (This is still too large)\nStep 3: Corrected approach: 90 - 63 = 27\nStep 4: 27 + 90 = 117\nStep 5: 117 + 63 = 180\nStep 6: Final adjustment: 180 - 27 = 153"
],
[
"Step 1: 90 - 63 = 27\nStep 2: 27 + 90 = 117\nStep 3: 117 / 63 = 1.833 (Not useful since it's... | [
[
false
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[
false,
false,
false,
false
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false,
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false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
... | [
[
"Could not evaluate line: Step 2: 27 * 63 = 1697 (This is still too large)"
],
[
"Line uses unavailable numbers: Step 2: 27 + 90 = 117",
"Line uses unavailable numbers: Step 2: 27 + 90 = 117",
"Line uses unavailable numbers: Step 2: 27 + 90 = 117",
"Line uses unavailable numbers: Step 2: 2... | [
[
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"To solve this problem, we need to use the numbers [2, 90, 63] exactly once and apply basic arithmetic operations (+, -, *, /) to get the target number 151.\n\nHere’s how we can approach it:\n\n1. Start with one of the numbers (let's choose 90).\n2. Add another number (we'll add 63 next to 90).\n3. Use multiplicati... | [
"Step 1: 90 - 63 = 27\nStep 2: 27 * 63 = 1697 (This is still too large)\nStep 3: Corrected approach: 90 - 63 = 27\nStep 4: 27 + 90 = 117\nStep 5: 117 + 63 = 180\nStep 6: Final adjustment: 180 - 27 = 153",
"Step 1: 90 - 63 = 27\nStep 2: 27 + 90 = 117\nStep 3: 117 / 63 = 1.833 (Not useful since it's not an integer)... | [
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 90 - 63 = 27\nStep 2: 27 * 63 = 1697 (This is still too large)\nStep 3: Corrected approach: 90 - 63 = 27\nStep 4: 27 + 90 = 117\nStep 5: 117 + 63 = 180\nStep 6: Final adjustment: 180 - 27 = 153\nWas Correct: False\nTarget: 151",
... | ||
21 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 271 | {"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\nUsing the numbers [6, 46, 5], create an equation that equals 271. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work bef... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this, we need to find a combination of the given numbers [6, 46, 5] using basic arithmetic operations (+, -, *, /) that results in the target number 271. \n\nFirst, let's try some combinations:\n\nStep 1: 6 * 46 = 276\nStep 2: 276 - 5 = 271\n\nThis gives us one possible solution:\n\... | countdown | To solve this, we need to find a combination of the given numbers [6, 46, 5] using basic arithmetic operations (+, -, *, /) that results in the target number 271.
First, let's try some combinations:
Step 1: 6 * 46 = 276
Step 2: 276 - 5 = 271
This gives us one possible solution:
<answer>
Step 1: 6 * 46 = 276
Step 2... | 21 | 0 | Step 1: 6 * 46 = 276
Step 2: 276 - 5 = 271 | 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
Using the numbers [6, 46, 5], create an equation that equals 271. You can use... | 0 | true | [
[
"Step 1: 6 * 46 = 276\nStep 2: 276 - 5 = 271"
],
[
"Step 1: 6 * 46 = 276\nStep 2: 276 - 5 = 271"
],
[
"Step 1: 6 * 46 = 276\nStep 2: 276 - 5 = 271"
],
[
"Step 1: 6 * 46 = 276\nStep 2: 276 - 5 = 271"
],
[
"Step 1: 6 * 46 = 276\nStep 2: 276 - 5 = 271"
],
[
"Step 1: 6 * 46... | [
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[
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[
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"To solve this, we need to find a combination of the given numbers [6, 46, 5] using basic arithmetic operations (+, -, *, /) that results in the target number 271. \n\nFirst, let's try some combinations:\n\nStep 1: 6 * 46 = 276\nStep 2: 276 - 5 = 271\n\nThis gives us one possible solution:\n\n<answer>\nStep 1: 6 * ... | [
"Step 1: 6 * 46 = 276\nStep 2: 276 - 5 = 271",
"Step 1: 6 * 46 = 276\nStep 2: 276 - 5 = 271",
"Step 1: 6 * 46 = 276\nStep 2: 276 - 5 = 271",
"Step 1: 6 * 46 = 276\nStep 2: 276 - 5 = 271",
"Step 1: 6 * 46 = 276\nStep 2: 276 - 5 = 271",
"Step 1: 6 * 46 = 276\nStep 2: 276 + 5 = 281"
] | [
true,
true,
true,
true,
true,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 6 * 46 = 276\nStep 2: 276 - 5 = 271\nWas Correct: True\nTarget: 271",
"role": "user"
},
{
"content": "To solve this, we need to find a combination of the given numbers [6, 46, 5] using basic arithmetic operations (+, -... | |||
22 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 288 | {"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\nUsing the numbers [80, 89, 32], create an equation that equals 288. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to find a combination of the given numbers [80, 89, 32] using basic arithmetic operations (addition, subtraction, multiplication, division) such that the result equals 288.\n\nFirst, let's try some combinations:\n\nStep 1: Let's start with addition and see if w... | countdown | To solve this problem, we need to find a combination of the given numbers [80, 89, 32] using basic arithmetic operations (addition, subtraction, multiplication, division) such that the result equals 288.
First, let's try some combinations:
Step 1: Let's start with addition and see if we can get close to 288.
80 + 89 ... | 22 | 0 | Step 1: 9 * 32 = 288 | 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
Using the numbers [80, 89, 32], create an equation that equals 288. You can u... | 0 | false | Line uses unavailable numbers: Step 1: 9 * 32 = 288 | [
[
"Step 1: 9 * 32 = 288"
],
[
"Step 1: 9 * 89 = 711\nStep 2: 711 - 423 = 288"
],
[
"Step 1: 89 - 80 = 9\nStep 2: 9 * 32 = 288"
],
[
"Step 1: 89 - 80 = 9\nStep 2: 9 * 32 = 288\nStep 3: 288 + 80 = 368",
"Step 1: 89 + 80 - 32 = 137\nStep 2: 137 * 32 = 424\nStep 3: 424 - 80 = 344\nStep 4... | [
[
false
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[
false
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[
true
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[
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false,
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false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
f... | [
[
"Line uses unavailable numbers: Step 1: 9 * 32 = 288"
],
[
"Incorrect arithmetic in line: Step 1: 9 * 89 = 711"
],
[
""
],
[
"Line uses unavailable numbers: Step 3: 288 + 80 = 368",
"Incorrect arithmetic in line: Step 2: 137 * 32 = 424",
"Incorrect arithmetic in line: Step 2: 1... | [
[
""
],
[
""
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[
""
],
[
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"",
"",
"",
"",
"",
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"",
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"",
"",
"",
"",
"",
... | [
"To solve this problem, we need to find a combination of the given numbers [80, 89, 32] using basic arithmetic operations (addition, subtraction, multiplication, division) such that the result equals 288.\n\nFirst, let's try some combinations:\n\nStep 1: Let's start with addition and see if we can get close to 288.... | [
"Step 1: 9 * 32 = 288",
"Step 1: 9 * 89 = 711\nStep 2: 711 - 423 = 288",
"Step 1: 89 - 80 = 9\nStep 2: 9 * 32 = 288",
"Step 1: 89 + 80 - 32 = 137\nStep 2: 137 * 32 = 424\nStep 3: 424 - 80 = 344\nStep 4: 344 + 89 = 433"
] | [
false,
false,
true,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 9 * 32 = 288\nWas Correct: False\nTarget: 288",
"role": "user"
},
{
"content": "To solve this problem, we need to find a combination of the given numbers [80, 89, 32] using basic arithmetic operations (addition, subtra... | ||
23 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 243 | {"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\nUsing the numbers [98, 81, 64], create an equation that equals 243. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem using the given numbers [98, 81, 64] and creating an equation that equals 243, we need to find a combination of these numbers through addition, subtraction, multiplication, or division that results in 243.\n\nFirst, let's try some combinations with multiplication and ad... | countdown | To solve this problem using the given numbers [98, 81, 64] and creating an equation that equals 243, we need to find a combination of these numbers through addition, subtraction, multiplication, or division that results in 243.
First, let's try some combinations with multiplication and addition/subtraction:
Step 1: L... | 23 | 0 | Step 1: 98 - 81 = 7
Step 2: 7 * 64 = 448
Step 3: 243 - 448 = -205 | 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
Using the numbers [98, 81, 64], create an equation that equals 243. You can u... | 0 | false | Incorrect arithmetic in line: Step 1: 98 - 81 = 7 | [
[
"Step 1: 98 - 81 = 7\nStep 2: 7 * 64 = 448\nStep 3: 243 - 448 = -205"
],
[
""
],
[
"Step 1: 98 - 81 = 17\nStep 2: 17 + 64 = 81\nStep 3: 81 + 98 = 179\nStep 4: 179 + 64 = 243"
],
[
"Step 1: 98 - 81 = 17\nStep 2: 17 + 64 = 81\nStep 3: 81 + 98 = 179\nStep 4: 179 + 64 = 243"
],
[
"... | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"Incorrect arithmetic in line: Step 1: 98 - 81 = 7"
],
[
"No answer"
],
[
"Line uses unavailable numbers: Step 3: 81 + 98 = 179"
],
[
"Line uses unavailable numbers: Step 3: 81 + 98 = 179"
],
[
"Line uses unavailable numbers: Step 3: 81 + 98 = 179"
],
[
"No answer"
]
... | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve this problem using the given numbers [98, 81, 64] and creating an equation that equals 243, we need to find a combination of these numbers through addition, subtraction, multiplication, or division that results in 243.\n\nFirst, let's try some combinations with multiplication and addition/subtraction:\n\n... | [
"Step 1: 98 - 81 = 7\nStep 2: 7 * 64 = 448\nStep 3: 243 - 448 = -205",
"",
"Step 1: 98 - 81 = 17\nStep 2: 17 + 64 = 81\nStep 3: 81 + 98 = 179\nStep 4: 179 + 64 = 243",
"Step 1: 98 - 81 = 17\nStep 2: 17 + 64 = 81\nStep 3: 81 + 98 = 179\nStep 4: 179 + 64 = 243",
"Step 1: 98 - 81 = 17\nStep 2: 17 + 64 = 81\nSt... | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 98 - 81 = 7\nStep 2: 7 * 64 = 448\nStep 3: 243 - 448 = -205\nWas Correct: False\nTarget: 243",
"role": "user"
},
{
"content": "To solve this problem using the given numbers [98, 81, 64] and creating an equation that eq... | ||
24 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 169 | {"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\nUsing the numbers [100, 3, 66], create an equation that equals 169. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 1 | [true] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to use the numbers [100, 3, 66] exactly once and combine them using basic arithmetic operations to get the target number 169.\n\nHere\u2019s how we can break it down:\n\n1. First, let's try adding some combination of these numbers together to see if we can reac... | countdown | To solve this problem, we need to use the numbers [100, 3, 66] exactly once and combine them using basic arithmetic operations to get the target number 169.
Here’s how we can break it down:
1. First, let's try adding some combination of these numbers together to see if we can reach close to 169.
- We know that \( ... | 24 | 0 | Step 1: 100 + 66 = 166
Step 2: 166 + 3 = 169 | 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
Using the numbers [100, 3, 66], create an equation that equals 169. You can u... | 0 | true | [
[
"Step 1: 100 + 66 = 166\nStep 2: 166 + 3 = 169"
],
[
"Step 1: 100 + 66 = 166\nStep 2: 166 + 3 = 169"
],
[
"Step 1: 100 + 66 = 166\nStep 2: 166 + 3 = 169"
],
[
"Step 1: 100 + 66 = 166\nStep 2: 166 + 3 = 169"
],
[
"Step 1: 100 + 66 = 166\nStep 2: 166 + 3 = 169"
],
[
"Step... | [
[
true
],
[
true
],
[
true
],
[
true
],
[
true
],
[
true
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve this problem, we need to use the numbers [100, 3, 66] exactly once and combine them using basic arithmetic operations to get the target number 169.\n\nHere’s how we can break it down:\n\n1. First, let's try adding some combination of these numbers together to see if we can reach close to 169.\n - We kno... | [
"Step 1: 100 + 66 = 166\nStep 2: 166 + 3 = 169",
"Step 1: 100 + 66 = 166\nStep 2: 166 + 3 = 169",
"Step 1: 100 + 66 = 166\nStep 2: 166 + 3 = 169",
"Step 1: 100 + 66 = 166\nStep 2: 166 + 3 = 169",
"Step 1: 100 + 66 = 166\nStep 2: 166 + 3 = 169",
"Step 1: 100 + 66 = 166\nStep 2: 166 + 3 = 169"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 100 + 66 = 166\nStep 2: 166 + 3 = 169\nWas Correct: True\nTarget: 169",
"role": "user"
},
{
"content": "To solve this problem, we need to use the numbers [100, 3, 66] exactly once and combine them using basic arithmeti... | |||
25 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 239 | {"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\nUsing the numbers [93, 65, 81], create an equation that equals 239. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 1 | [true] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to combine the given numbers [93, 65, 81] using basic arithmetic operations (+, -, *, /) such that the result equals 239. Each number should be used exactly once.\n\nHere\u2019s how we can approach it:\n\n1. Start with one of the numbers and try different combi... | countdown | To solve this problem, we need to combine the given numbers [93, 65, 81] using basic arithmetic operations (+, -, *, /) such that the result equals 239. Each number should be used exactly once.
Here’s how we can approach it:
1. Start with one of the numbers and try different combinations with the others.
2. Use multi... | 25 | 0 | Step 1: 93 + 65 + 81 = 239 | 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
Using the numbers [93, 65, 81], create an equation that equals 239. You can u... | 0 | true | [
[
"Step 1: 93 + 65 + 81 = 239"
],
[
"Step 1: 93 + 65 = 158\nStep 2: 158 + 81 = 239"
],
[
"Step 1: 93 + 65 = 158\nStep 2: 158 + 81 = 239"
],
[
"Step 1: 93 + 65 = 158\nStep 2: 158 + 81 = 239",
"Step 1: 93 + 65 = 158\nStep 2: 158 + 81 = 239"
],
[
"Step 1: 93 + 65 = 158\nStep 2: ... | [
[
true
],
[
true
],
[
true
],
[
true,
true
],
[
true
],
[
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
... | [
[
""
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[
""
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[
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[
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[
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[
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"",
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"",
"",
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""
]
] | [
[
""
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[
""
],
[
""
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[
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""
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[
""
],
[
"",
"",
"",
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"",
"",
"",
"",
"",
"",
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"",
"",
"",
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] | [
"To solve this problem, we need to combine the given numbers [93, 65, 81] using basic arithmetic operations (+, -, *, /) such that the result equals 239. Each number should be used exactly once.\n\nHere’s how we can approach it:\n\n1. Start with one of the numbers and try different combinations with the others.\n2.... | [
"Step 1: 93 + 65 + 81 = 239",
"Step 1: 93 + 65 = 158\nStep 2: 158 + 81 = 239",
"Step 1: 93 + 65 = 158\nStep 2: 158 + 81 = 239",
"Step 1: 93 + 65 = 158\nStep 2: 158 + 81 = 239",
"Step 1: 93 + 65 = 158\nStep 2: 158 + 81 = 239",
"Step 1: 93 + 65 = 158\nStep 2: 158 + 81 = 239"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 93 + 65 + 81 = 239\nWas Correct: True\nTarget: 239",
"role": "user"
},
{
"content": "To solve this problem, we need to combine the given numbers [93, 65, 81] using basic arithmetic operations (+, -, *, /) such that the... | |||
26 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 114 | {"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\nUsing the numbers [56, 26, 84], create an equation that equals 114. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 1 | [true] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to use the given numbers [56, 26, 84] with basic arithmetic operations (+, -, *, /) and ensure that each number is used exactly once to get the result of 114.\n\nHere\u2019s how we can break it down:\n\n1. **Start with the largest number**: We should start with... | countdown | To solve this problem, we need to use the given numbers [56, 26, 84] with basic arithmetic operations (+, -, *, /) and ensure that each number is used exactly once to get the result of 114.
Here’s how we can break it down:
1. **Start with the largest number**: We should start with the largest number to try and reach ... | 26 | 0 | Step 1: 84 + 56 = 140
Step 2: 140 - 26 = 114 | 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
Using the numbers [56, 26, 84], create an equation that equals 114. You can u... | 0 | true | [
[
"Step 1: 84 + 56 = 140\nStep 2: 140 - 26 = 114"
],
[
"Step 1: 84 - 26 = 58\nStep 2: 58 + 56 = 114"
],
[
"Step 1: 84 - 56 = 28\nStep 2: 28 + 26 = 54\nStep 3: 54 + 56 = 110",
"Step 1: 84 - 56 = 28\nStep 2: 28 + 26 = 54\nStep 3: 54 + 56 = 110"
],
[
""
],
[
""
],
[
"Ste... | [
[
true
],
[
true
],
[
false,
false
],
[
false
],
[
false
],
[
true
]
] | [
[
""
],
[
""
],
[
"Line uses unavailable numbers: Step 3: 54 + 56 = 110",
"Line uses unavailable numbers: Step 3: 54 + 56 = 110"
],
[
"No answer"
],
[
"No answer"
],
[
""
]
] | [
[
""
],
[
""
],
[
"",
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve this problem, we need to use the given numbers [56, 26, 84] with basic arithmetic operations (+, -, *, /) and ensure that each number is used exactly once to get the result of 114.\n\nHere’s how we can break it down:\n\n1. **Start with the largest number**: We should start with the largest number to try a... | [
"Step 1: 84 + 56 = 140\nStep 2: 140 - 26 = 114",
"Step 1: 84 - 26 = 58\nStep 2: 58 + 56 = 114",
"Step 1: 84 - 56 = 28\nStep 2: 28 + 26 = 54\nStep 3: 54 + 56 = 110",
"",
"",
"Step 1: 84 - 26 = 58\nStep 2: 58 + 56 = 114"
] | [
true,
true,
false,
false,
false,
true
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 84 + 56 = 140\nStep 2: 140 - 26 = 114\nWas Correct: True\nTarget: 114",
"role": "user"
},
{
"content": "To solve this problem, we need to use the given numbers [56, 26, 84] with basic arithmetic operations (+, -, *, /)... | |||
27 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 880 | {"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\nUsing the numbers [45, 85, 22], create an equation that equals 880. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to use the given numbers [45, 85, 22] and apply basic arithmetic operations (+, -, *, /) so that the equation equals 880. \n\nStep 1: First, let's try multiplying two of the numbers together. We'll start with 45 * 22 because it gives us a large enough product t... | countdown | To solve this problem, we need to use the given numbers [45, 85, 22] and apply basic arithmetic operations (+, -, *, /) so that the equation equals 880.
Step 1: First, let's try multiplying two of the numbers together. We'll start with 45 * 22 because it gives us a large enough product to reach close to 880.
45 *... | 27 | 0 | Step 1: 45 * 22 = 990
Step 2: 990 - 110 = 880 | 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
Using the numbers [45, 85, 22], create an equation that equals 880. You can u... | 0 | false | Line uses unavailable numbers: Step 2: 990 - 110 = 880 | [
[
"Step 1: 45 * 22 = 990\nStep 2: 990 - 110 = 880"
],
[
"Step 1: 45 + 85 + 22 = 152\nStep 2: 152 - 72 = 80\nStep 3: 80 * 11 = 880"
],
[
"Step 1: 45 * 22 = 990\nStep 2: 990 - 85 = 905"
],
[
""
],
[
""
],
[
"Step 1: 45 + 85 + 22 = 152\nStep 2: 152 - 72 = 80\nStep 3: 80 * 11... | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false,
false
]
] | [
[
"Line uses unavailable numbers: Step 2: 990 - 110 = 880"
],
[
"Line uses unavailable numbers: Step 2: 152 - 72 = 80"
],
[
"Incorrect final answer"
],
[
"No answer"
],
[
"No answer"
],
[
"Line uses unavailable numbers: Step 2: 152 - 72 = 80",
"Incorrect final answer"... | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
"",
""
]
] | [
"To solve this problem, we need to use the given numbers [45, 85, 22] and apply basic arithmetic operations (+, -, *, /) so that the equation equals 880. \n\nStep 1: First, let's try multiplying two of the numbers together. We'll start with 45 * 22 because it gives us a large enough product to reach close to 880.\n... | [
"Step 1: 45 * 22 = 990\nStep 2: 990 - 110 = 880",
"Step 1: 45 + 85 + 22 = 152\nStep 2: 152 - 72 = 80\nStep 3: 80 * 11 = 880",
"Step 1: 45 * 22 = 990\nStep 2: 990 - 85 = 905",
"",
"",
"Step 1: 45 * 22 = 990\nStep 2: 990 - 85 = 905"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 45 * 22 = 990\nStep 2: 990 - 110 = 880\nWas Correct: False\nTarget: 880",
"role": "user"
},
{
"content": "To solve this problem, we need to use the given numbers [45, 85, 22] and apply basic arithmetic operations (+, -... | ||
28 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 988 | {"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\nUsing the numbers [36, 28, 20], create an equation that equals 988. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 1 | [true] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem using the given numbers [36, 28, 20] and creating an equation that equals 988, we need to find a combination of these numbers with the allowed operations (addition, subtraction, multiplication, division). Here\u2019s how we can approach it:\n\n1. **Identify possible com... | countdown | To solve this problem using the given numbers [36, 28, 20] and creating an equation that equals 988, we need to find a combination of these numbers with the allowed operations (addition, subtraction, multiplication, division). Here’s how we can approach it:
1. **Identify possible combinations**: We need to try differe... | 28 | 0 | Step 1: 36 + 28 = 64
Step 2: 64 * 20 = 1280
Step 3: 1280 - 20 = 1260
Step 4: 1260 + 36 = 1296 | 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
Using the numbers [36, 28, 20], create an equation that equals 988. You can u... | 0 | false | Line uses unavailable numbers: Step 3: 1280 - 20 = 1260 | [
[
"Step 1: 36 + 28 = 64\nStep 2: 64 * 20 = 1280\nStep 3: 1280 - 20 = 1260\nStep 4: 1260 + 36 = 1296"
],
[
""
],
[
"Step 1: 36 + 28 = 64\nStep 2: 64 * 20 = 1280\nStep 3: 1280 - 20 = 1260\nStep 4: 1260 + 36 = 1296",
"Step 1: 36 * 28 = 1008\nStep 2: 1008 - 20 = 988"
],
[
""
]
] | [
[
false
],
[
false
],
[
false,
true
],
[
false
]
] | [
[
"Line uses unavailable numbers: Step 3: 1280 - 20 = 1260"
],
[
"No answer"
],
[
"Line uses unavailable numbers: Step 3: 1280 - 20 = 1260",
""
],
[
"No answer"
]
] | [
[
""
],
[
""
],
[
"",
""
],
[
""
]
] | [
"To solve this problem using the given numbers [36, 28, 20] and creating an equation that equals 988, we need to find a combination of these numbers with the allowed operations (addition, subtraction, multiplication, division). Here’s how we can approach it:\n\n1. **Identify possible combinations**: We need to try ... | [
"Step 1: 36 + 28 = 64\nStep 2: 64 * 20 = 1280\nStep 3: 1280 - 20 = 1260\nStep 4: 1260 + 36 = 1296",
"",
"Step 1: 36 * 28 = 1008\nStep 2: 1008 - 20 = 988",
""
] | [
false,
false,
true,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 36 + 28 = 64\nStep 2: 64 * 20 = 1280\nStep 3: 1280 - 20 = 1260\nStep 4: 1260 + 36 = 1296\nWas Correct: False\nTarget: 988",
"role": "user"
},
{
"content": "To solve this problem using the given numbers [36, 28, 20] and... | ||
29 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 657 | {"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\nUsing the numbers [52, 13, 19], create an equation that equals 657. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to use the given numbers [52, 13, 19] and combine them using basic arithmetic operations to get the target number 657. Let's break it down:\n\nStep 1: First, let's try combining two of the numbers with addition or subtraction. We'll start with 52 and 13.\n52 - ... | countdown | To solve this problem, we need to use the given numbers [52, 13, 19] and combine them using basic arithmetic operations to get the target number 657. Let's break it down:
Step 1: First, let's try combining two of the numbers with addition or subtraction. We'll start with 52 and 13.
52 - 13 = 39
Step 2: Now we have 39... | 29 | 0 | 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
Using the numbers [52, 13, 19], create an equation that equals 657. You can u... | 0 | false | No answer | [
[
""
]
] | [
[
false
]
] | [
[
"No answer"
]
] | [
[
""
]
] | [
"To solve this problem, we need to use the given numbers [52, 13, 19] and combine them using basic arithmetic operations to get the target number 657. Let's break it down:\n\nStep 1: First, let's try combining two of the numbers with addition or subtraction. We'll start with 52 and 13.\n52 - 13 = 39\n\nStep 2: Now ... | [
""
] | [
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \nWas Correct: False\nTarget: 657",
"role": "user"
},
{
"content": "To solve this problem, we need to use the given numbers [52, 13, 19] and combine them using basic arithmetic operations to get the target number 657. Let's br... | |||
30 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 286 | {"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\nUsing the numbers [79, 22, 66], create an equation that equals 286. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to find a combination of the given numbers [79, 22, 66] using basic arithmetic operations (+, -, *, /) so that the result equals 286. \n\nHere\u2019s how we can break it down:\n\n1. First, let's try adding all three numbers together:\n 79 + 22 + 66 = 167\n\nT... | countdown | To solve this problem, we need to find a combination of the given numbers [79, 22, 66] using basic arithmetic operations (+, -, *, /) so that the result equals 286.
Here’s how we can break it down:
1. First, let's try adding all three numbers together:
79 + 22 + 66 = 167
This sum is too small (167 < 286), so we ... | 30 | 0 | 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
Using the numbers [79, 22, 66], create an equation that equals 286. You can u... | 0 | false | No answer | [
[
""
]
] | [
[
false
]
] | [
[
"No answer"
]
] | [
[
""
]
] | [
"To solve this problem, we need to find a combination of the given numbers [79, 22, 66] using basic arithmetic operations (+, -, *, /) so that the result equals 286. \n\nHere’s how we can break it down:\n\n1. First, let's try adding all three numbers together:\n 79 + 22 + 66 = 167\n\nThis sum is too small (167 < ... | [
""
] | [
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \nWas Correct: False\nTarget: 286",
"role": "user"
},
{
"content": "To solve this problem, we need to find a combination of the given numbers [79, 22, 66] using basic arithmetic operations (+, -, *, /) so that the result equal... | |||
31 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 141 | {"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\nUsing the numbers [98, 3, 46], create an equation that equals 141. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be... | 1 | [true] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to use the numbers [98, 3, 46] exactly once and combine them using basic arithmetic operations to get the target number 141.\n\nHere\u2019s how we can approach it:\n\n1. First, let's try adding two of the numbers together:\n - Adding 98 and 46 gives us 144, w... | countdown | To solve this problem, we need to use the numbers [98, 3, 46] exactly once and combine them using basic arithmetic operations to get the target number 141.
Here’s how we can approach it:
1. First, let's try adding two of the numbers together:
- Adding 98 and 46 gives us 144, which is too high.
2. Now, let's su... | 31 | 0 | Step 1: 98 - 3 = 95
Step 2: 95 + 46 = 141 | 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
Using the numbers [98, 3, 46], create an equation that equals 141. You can us... | 0 | true | [
[
"Step 1: 98 - 3 = 95\nStep 2: 95 + 46 = 141"
],
[
""
],
[
"Step 1: 98 - 3 = 95\nStep 2: 95 + 46 = 141"
],
[
"Step 1: 98 - 3 = 95\nStep 2: 95 + 46 = 141"
],
[
"Step 1: 98 - 3 = 95\nStep 2: 95 + 46 = 141"
],
[
"Step 1: 98 - 3 = 95\nStep 2: 95 + 46 = 141",
"Step 1: 98 ... | [
[
true
],
[
false
],
[
true
],
[
true
],
[
true
],
[
true,
true
]
] | [
[
""
],
[
"No answer"
],
[
""
],
[
""
],
[
""
],
[
"",
""
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
"",
""
]
] | [
"To solve this problem, we need to use the numbers [98, 3, 46] exactly once and combine them using basic arithmetic operations to get the target number 141.\n\nHere’s how we can approach it:\n\n1. First, let's try adding two of the numbers together:\n - Adding 98 and 46 gives us 144, which is too high.\n \n2. N... | [
"Step 1: 98 - 3 = 95\nStep 2: 95 + 46 = 141",
"",
"Step 1: 98 - 3 = 95\nStep 2: 95 + 46 = 141",
"Step 1: 98 - 3 = 95\nStep 2: 95 + 46 = 141",
"Step 1: 98 - 3 = 95\nStep 2: 95 + 46 = 141",
"Step 1: 98 - 3 = 95\nStep 2: 95 + 46 = 141"
] | [
true,
false,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 98 - 3 = 95\nStep 2: 95 + 46 = 141\nWas Correct: True\nTarget: 141",
"role": "user"
},
{
"content": "To solve this problem, we need to use the numbers [98, 3, 46] exactly once and combine them using basic arithmetic op... | |||
32 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 100 | {"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\nUsing the numbers [15, 66, 19], create an equation that equals 100. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 1 | [true] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to use the numbers [15, 66, 19] exactly once and combine them using basic arithmetic operations to get the target number 100.\n\nStep 1: First, let's try adding two of the numbers together:\n 15 + 66 = 81\n\nStep 2: Now we have 81 left from our original set. ... | countdown | To solve this problem, we need to use the numbers [15, 66, 19] exactly once and combine them using basic arithmetic operations to get the target number 100.
Step 1: First, let's try adding two of the numbers together:
15 + 66 = 81
Step 2: Now we have 81 left from our original set. We can add another number to reac... | 32 | 0 | Step 1: 15 + 66 = 81
Step 2: 81 + 19 = 100 | 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
Using the numbers [15, 66, 19], create an equation that equals 100. You can u... | 0 | true | [
[
"Step 1: 15 + 66 = 81\nStep 2: 81 + 19 = 100"
],
[
"Step 1: 19 + 81 = 100"
],
[
"Step 1: 15 + 66 = 81\nStep 2: 81 + 19 = 100"
],
[
""
],
[
"Step 1: 15 + 19 = 34\nStep 2: 34 + 66 = 100"
],
[
"Step 1: 15 + 66 = 81\nStep 2: 81 + 19 = 100"
]
] | [
[
true
],
[
false
],
[
true
],
[
false
],
[
true
],
[
true
]
] | [
[
""
],
[
"Line uses unavailable numbers: Step 1: 19 + 81 = 100"
],
[
""
],
[
"No answer"
],
[
""
],
[
""
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve this problem, we need to use the numbers [15, 66, 19] exactly once and combine them using basic arithmetic operations to get the target number 100.\n\nStep 1: First, let's try adding two of the numbers together:\n 15 + 66 = 81\n\nStep 2: Now we have 81 left from our original set. We can add another numb... | [
"Step 1: 15 + 66 = 81\nStep 2: 81 + 19 = 100",
"Step 1: 19 + 81 = 100",
"Step 1: 15 + 66 = 81\nStep 2: 81 + 19 = 100",
"",
"Step 1: 15 + 19 = 34\nStep 2: 34 + 66 = 100",
"Step 1: 15 + 66 = 81\nStep 2: 81 + 19 = 100"
] | [
true,
false,
true,
false,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 15 + 66 = 81\nStep 2: 81 + 19 = 100\nWas Correct: True\nTarget: 100",
"role": "user"
},
{
"content": "To solve this problem, we need to use the numbers [15, 66, 19] exactly once and combine them using basic arithmetic ... | |||
33 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 104 | {"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\nUsing the numbers [26, 72, 58], create an equation that equals 104. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to find a combination of the given numbers [26, 72, 58] using basic arithmetic operations (+, -, *, /) such that the result equals 104.\n\nStep 1: First, let's try adding two of the numbers together.\n26 + 72 = 98\n\nStep 2: Now, we have 98 left from our origin... | countdown | To solve this problem, we need to find a combination of the given numbers [26, 72, 58] using basic arithmetic operations (+, -, *, /) such that the result equals 104.
Step 1: First, let's try adding two of the numbers together.
26 + 72 = 98
Step 2: Now, we have 98 left from our original set. We need to add or subtrac... | 33 | 0 | 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
Using the numbers [26, 72, 58], create an equation that equals 104. You can u... | 0 | false | No answer | [
[
""
]
] | [
[
false
]
] | [
[
"No answer"
]
] | [
[
""
]
] | [
"To solve this problem, we need to find a combination of the given numbers [26, 72, 58] using basic arithmetic operations (+, -, *, /) such that the result equals 104.\n\nStep 1: First, let's try adding two of the numbers together.\n26 + 72 = 98\n\nStep 2: Now, we have 98 left from our original set. We need to add ... | [
""
] | [
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \nWas Correct: False\nTarget: 104",
"role": "user"
},
{
"content": "To solve this problem, we need to find a combination of the given numbers [26, 72, 58] using basic arithmetic operations (+, -, *, /) such that the result equ... | |||
34 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 813 | {"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\nUsing the numbers [41, 20, 7], create an equation that equals 813. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be... | 1 | [true] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem using the numbers [41, 20, 7] and creating an equation that equals 813, we need to find a combination of these numbers with basic arithmetic operations (+, -, *, /) such that the result equals 813.\n\nHere's one possible solution:\n\nStep 1: First, let's try multiplying... | countdown | To solve this problem using the numbers [41, 20, 7] and creating an equation that equals 813, we need to find a combination of these numbers with basic arithmetic operations (+, -, *, /) such that the result equals 813.
Here's one possible solution:
Step 1: First, let's try multiplying 41 and 20:
41 * 20 = 820
St... | 34 | 0 | Step 1: 41 * 20 = 820
Step 2: 820 - 7 = 813 | 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
Using the numbers [41, 20, 7], create an equation that equals 813. You can us... | 0 | true | [
[
"Step 1: 41 * 20 = 820\nStep 2: 820 - 7 = 813"
],
[
"Step 1: 41 * 20 = 820\nStep 2: 820 - 7 = 813"
],
[
"Step 1: 41 * 20 = 820\nStep 2: 820 - 7 = 813"
],
[
""
],
[
""
]
] | [
[
true
],
[
true
],
[
true
],
[
false
],
[
false
]
] | [
[
""
],
[
""
],
[
""
],
[
"No answer"
],
[
"No answer"
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve this problem using the numbers [41, 20, 7] and creating an equation that equals 813, we need to find a combination of these numbers with basic arithmetic operations (+, -, *, /) such that the result equals 813.\n\nHere's one possible solution:\n\nStep 1: First, let's try multiplying 41 and 20:\n 41 * 20... | [
"Step 1: 41 * 20 = 820\nStep 2: 820 - 7 = 813",
"Step 1: 41 * 20 = 820\nStep 2: 820 - 7 = 813",
"Step 1: 41 * 20 = 820\nStep 2: 820 - 7 = 813",
"",
""
] | [
true,
true,
true,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 41 * 20 = 820\nStep 2: 820 - 7 = 813\nWas Correct: True\nTarget: 813",
"role": "user"
},
{
"content": "To solve this problem using the numbers [41, 20, 7] and creating an equation that equals 813, we need to find a com... | |||
35 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 480 | {"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\nUsing the numbers [68, 4, 7], create an equation that equals 480. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work bef... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem using the numbers [68, 4, 7] and creating an equation that equals 480, we need to find a combination of these numbers with basic arithmetic operations that will give us the desired result.\n\nHere\u2019s how we can break it down:\n\n1. First, let's try multiplying two o... | countdown | To solve this problem using the numbers [68, 4, 7] and creating an equation that equals 480, we need to find a combination of these numbers with basic arithmetic operations that will give us the desired result.
Here’s how we can break it down:
1. First, let's try multiplying two of the numbers together to get a large... | 35 | 0 | Step 1: 68 * 7 = 476
Step 2: 476 + 4 = 480 | 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
Using the numbers [68, 4, 7], create an equation that equals 480. You can use... | 0 | true | [
[
"Step 1: 68 * 7 = 476\nStep 2: 476 + 4 = 480"
],
[
"Step 1: 68 + 4 = 72\nStep 2: 72 + 7 = 89\nStep 3: 89 * 6 = 534\nStep 4: 480 - 534 = -53"
],
[
"Step 1: 68 + 4 = 72\nStep 2: 72 + 7 = 89\nStep 3: 89 * 6 = 534\nStep 4: 480 - 534 = -53"
],
[
"Step 1: 68 + 4 = 72\nStep 2: 72 + 7 = 89\nSt... | [
[
true
],
[
false
],
[
false
],
[
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
]
] | [
[
""
],
[
"Incorrect arithmetic in line: Step 2: 72 + 7 = 89"
],
[
"Incorrect arithmetic in line: Step 2: 72 + 7 = 89"
],
[
"Incorrect arithmetic in line: Step 2: 72 + 7 = 89",
"Incorrect arithmetic in line: Step 2: 72 + 7 = 89",
"Incorrect arithmetic in line: Step 2: 72 + 7 = 89... | [
[
""
],
[
""
],
[
""
],
[
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
]
] | [
"To solve this problem using the numbers [68, 4, 7] and creating an equation that equals 480, we need to find a combination of these numbers with basic arithmetic operations that will give us the desired result.\n\nHere’s how we can break it down:\n\n1. First, let's try multiplying two of the numbers together to ge... | [
"Step 1: 68 * 7 = 476\nStep 2: 476 + 4 = 480",
"Step 1: 68 + 4 = 72\nStep 2: 72 + 7 = 89\nStep 3: 89 * 6 = 534\nStep 4: 480 - 534 = -53",
"Step 1: 68 + 4 = 72\nStep 2: 72 + 7 = 89\nStep 3: 89 * 6 = 534\nStep 4: 480 - 534 = -53",
"Step 1: 68 + 4 = 72\nStep 2: 72 + 7 = 89\nStep 3: 89 * 6 = 534\nStep 4: 480 - 53... | [
true,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 68 * 7 = 476\nStep 2: 476 + 4 = 480\nWas Correct: True\nTarget: 480",
"role": "user"
},
{
"content": "To solve this problem using the numbers [68, 4, 7] and creating an equation that equals 480, we need to find a combi... | |||
36 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 172 | {"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\nUsing the numbers [3, 80, 68], create an equation that equals 172. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to use the numbers [3, 80, 68] exactly once and apply basic arithmetic operations to get the target number 172. Let's break it down:\n\nStep 1: We start with the number 80 because it seems like a good candidate to help us reach our target of 172 quickly.\n\nSte... | countdown | To solve this problem, we need to use the numbers [3, 80, 68] exactly once and apply basic arithmetic operations to get the target number 172. Let's break it down:
Step 1: We start with the number 80 because it seems like a good candidate to help us reach our target of 172 quickly.
Step 2: To get close to 172 using 8... | 36 | 0 | Step 1: 80 * 2 = 160
Step 2: 160 - 1 = 159
Step 3: 159 + 68 = 227 | 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
Using the numbers [3, 80, 68], create an equation that equals 172. You can us... | 0 | false | Line uses unavailable numbers: Step 1: 80 * 2 = 160 | [
[
"Step 1: 80 * 2 = 160\nStep 2: 160 - 1 = 159\nStep 3: 159 + 68 = 227"
],
[
"Step 1: 80 * 2 = 160\nStep 2: 160 - 68 = 92\nStep 3: 92 + 80 = 172"
],
[
"Step 1: 80 * 2 = 160\nStep 2: 160 - 68 = 92\nStep 3: 92 + 80 = 172"
],
[
""
]
] | [
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"Line uses unavailable numbers: Step 1: 80 * 2 = 160"
],
[
"Line uses unavailable numbers: Step 1: 80 * 2 = 160"
],
[
"Line uses unavailable numbers: Step 1: 80 * 2 = 160"
],
[
"No answer"
]
] | [
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve this problem, we need to use the numbers [3, 80, 68] exactly once and apply basic arithmetic operations to get the target number 172. Let's break it down:\n\nStep 1: We start with the number 80 because it seems like a good candidate to help us reach our target of 172 quickly.\n\nStep 2: To get close to 17... | [
"Step 1: 80 * 2 = 160\nStep 2: 160 - 1 = 159\nStep 3: 159 + 68 = 227",
"Step 1: 80 * 2 = 160\nStep 2: 160 - 68 = 92\nStep 3: 92 + 80 = 172",
"Step 1: 80 * 2 = 160\nStep 2: 160 - 68 = 92\nStep 3: 92 + 80 = 172",
""
] | [
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 80 * 2 = 160\nStep 2: 160 - 1 = 159\nStep 3: 159 + 68 = 227\nWas Correct: False\nTarget: 172",
"role": "user"
},
{
"content": "To solve this problem, we need to use the numbers [3, 80, 68] exactly once and apply basic ... | ||
37 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 119 | {"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\nUsing the numbers [3, 17, 4], create an equation that equals 119. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work bef... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem using the numbers [3, 17, 4] and creating an equation that equals 119, we need to find a combination of these numbers with basic arithmetic operations (+, -, *, /) that will give us the desired result.\n\nHere\u2019s how I would approach it:\n\n1. Start by trying differ... | countdown | To solve this problem using the numbers [3, 17, 4] and creating an equation that equals 119, we need to find a combination of these numbers with basic arithmetic operations (+, -, *, /) that will give us the desired result.
Here’s how I would approach it:
1. Start by trying different combinations of addition and subt... | 37 | 0 | 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
Using the numbers [3, 17, 4], create an equation that equals 119. You can use... | 0 | false | No answer | [
[
""
]
] | [
[
false
]
] | [
[
"No answer"
]
] | [
[
""
]
] | [
"To solve this problem using the numbers [3, 17, 4] and creating an equation that equals 119, we need to find a combination of these numbers with basic arithmetic operations (+, -, *, /) that will give us the desired result.\n\nHere’s how I would approach it:\n\n1. Start by trying different combinations of addition... | [
""
] | [
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \nWas Correct: False\nTarget: 119",
"role": "user"
},
{
"content": "To solve this problem using the numbers [3, 17, 4] and creating an equation that equals 119, we need to find a combination of these numbers with basic arithme... | |||
38 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 753 | {"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\nUsing the numbers [55, 13, 38], create an equation that equals 753. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to use the given numbers [55, 13, 38] with basic arithmetic operations (+, -, *, /) and ensure that each number is used exactly once to get the result equal to 753.\n\nHere\u2019s how we can structure our solution:\n\n1. Start by trying different combinations o... | countdown | To solve this problem, we need to use the given numbers [55, 13, 38] with basic arithmetic operations (+, -, *, /) and ensure that each number is used exactly once to get the result equal to 753.
Here’s how we can structure our solution:
1. Start by trying different combinations of these numbers using addition, subtr... | 38 | 0 | Step 1: 55 * 13 = 715
Step 2: 715 - 38 = 677 | 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
Using the numbers [55, 13, 38], create an equation that equals 753. You can u... | 0 | false | Incorrect final answer | [
[
"Step 1: 55 * 13 = 715\nStep 2: 715 - 38 = 677"
],
[
""
]
] | [
[
false
],
[
false
]
] | [
[
"Incorrect final answer"
],
[
"No answer"
]
] | [
[
""
],
[
""
]
] | [
"To solve this problem, we need to use the given numbers [55, 13, 38] with basic arithmetic operations (+, -, *, /) and ensure that each number is used exactly once to get the result equal to 753.\n\nHere’s how we can structure our solution:\n\n1. Start by trying different combinations of these numbers using additi... | [
"Step 1: 55 * 13 = 715\nStep 2: 715 - 38 = 677",
""
] | [
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 55 * 13 = 715\nStep 2: 715 - 38 = 677\nWas Correct: False\nTarget: 753",
"role": "user"
},
{
"content": "To solve this problem, we need to use the given numbers [55, 13, 38] with basic arithmetic operations (+, -, *, /... | ||
39 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 420 | {"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\nUsing the numbers [60, 1, 8], create an equation that equals 420. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work bef... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this, we need to use the numbers [60, 1, 8] exactly once and combine them using basic arithmetic operations to get the number 420.\n\nFirst, let's try combining these numbers with addition:\nStep 1: 60 + 8 = 68\n\nNow, we have 68 left to reach our goal of 420. We can add another num... | countdown | To solve this, we need to use the numbers [60, 1, 8] exactly once and combine them using basic arithmetic operations to get the number 420.
First, let's try combining these numbers with addition:
Step 1: 60 + 8 = 68
Now, we have 68 left to reach our goal of 420. We can add another number to get closer:
Step 2: 68 + 5... | 39 | 0 | Step 1: 60 * 8 = 480
Step 2: 480 / 60 = 8 | 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
Using the numbers [60, 1, 8], create an equation that equals 420. You can use... | 0 | false | Line uses unavailable numbers: Step 2: 480 / 60 = 8 | [
[
"Step 1: 60 * 8 = 480\nStep 2: 480 / 60 = 8"
],
[
"Step 1: 60 * 7 = 420"
],
[
"Step 1: 60 * 7 = 420"
],
[
""
],
[
"Step 1: 60 * 7 = 420"
],
[
"Step 1: 60 * 7 = 420"
]
] | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"Line uses unavailable numbers: Step 2: 480 / 60 = 8"
],
[
"Line uses unavailable numbers: Step 1: 60 * 7 = 420"
],
[
"Line uses unavailable numbers: Step 1: 60 * 7 = 420"
],
[
"No answer"
],
[
"Line uses unavailable numbers: Step 1: 60 * 7 = 420"
],
[
"Line uses unavai... | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve this, we need to use the numbers [60, 1, 8] exactly once and combine them using basic arithmetic operations to get the number 420.\n\nFirst, let's try combining these numbers with addition:\nStep 1: 60 + 8 = 68\n\nNow, we have 68 left to reach our goal of 420. We can add another number to get closer:\nSte... | [
"Step 1: 60 * 8 = 480\nStep 2: 480 / 60 = 8",
"Step 1: 60 * 7 = 420",
"Step 1: 60 * 7 = 420",
"",
"Step 1: 60 * 7 = 420",
"Step 1: 60 * 7 = 420"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 60 * 8 = 480\nStep 2: 480 / 60 = 8\nWas Correct: False\nTarget: 420",
"role": "user"
},
{
"content": "To solve this, we need to use the numbers [60, 1, 8] exactly once and combine them using basic arithmetic operations... | ||
40 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 182 | {"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\nUsing the numbers [51, 53, 78], create an equation that equals 182. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 1 | [true] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to find a combination of the given numbers [51, 53, 78] using basic arithmetic operations (+, -, *, /) that equals 182.\n\nStep 1: First, let's try adding all three numbers together.\n51 + 53 + 78 = 182\n\nThis works perfectly! We have used all three numbers ex... | countdown | To solve this problem, we need to find a combination of the given numbers [51, 53, 78] using basic arithmetic operations (+, -, *, /) that equals 182.
Step 1: First, let's try adding all three numbers together.
51 + 53 + 78 = 182
This works perfectly! We have used all three numbers exactly once and achieved the desir... | 40 | 0 | Step 1: 51 + 53 + 78 = 182 | 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
Using the numbers [51, 53, 78], create an equation that equals 182. You can u... | 0 | true | [
[
"Step 1: 51 + 53 + 78 = 182"
],
[
""
],
[
"Step 1: 51 + 53 = 104\nStep 2: 104 + 78 = 182"
],
[
"Step 1: 53 + 78 = 131\nStep 2: 131 + 51 = 182"
],
[
""
]
] | [
[
true
],
[
false
],
[
true
],
[
true
],
[
false
]
] | [
[
""
],
[
"No answer"
],
[
""
],
[
""
],
[
"No answer"
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve this problem, we need to find a combination of the given numbers [51, 53, 78] using basic arithmetic operations (+, -, *, /) that equals 182.\n\nStep 1: First, let's try adding all three numbers together.\n51 + 53 + 78 = 182\n\nThis works perfectly! We have used all three numbers exactly once and achieved... | [
"Step 1: 51 + 53 + 78 = 182",
"",
"Step 1: 51 + 53 = 104\nStep 2: 104 + 78 = 182",
"Step 1: 53 + 78 = 131\nStep 2: 131 + 51 = 182",
""
] | [
true,
false,
true,
true,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 51 + 53 + 78 = 182\nWas Correct: True\nTarget: 182",
"role": "user"
},
{
"content": "To solve this problem, we need to find a combination of the given numbers [51, 53, 78] using basic arithmetic operations (+, -, *, /)... | |||
41 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 657 | {"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\nUsing the numbers [14, 53, 85], create an equation that equals 657. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to combine the given numbers [14, 53, 85] using basic arithmetic operations (+, -, *, /) so that the result equals 657. Let's break it down:\n\nStep 1: We start with the largest number, which is 85.\nStep 2: Now, we add 14 to 85, which gives us 99.\nStep 3: Nex... | countdown | To solve this problem, we need to combine the given numbers [14, 53, 85] using basic arithmetic operations (+, -, *, /) so that the result equals 657. Let's break it down:
Step 1: We start with the largest number, which is 85.
Step 2: Now, we add 14 to 85, which gives us 99.
Step 3: Next, we subtract 53 from 99, which... | 41 | 0 | Step 1: 85 + 14 = 99
Step 2: 99 - 53 = 46
Step 3: 46 * 14 = 644 | 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
Using the numbers [14, 53, 85], create an equation that equals 657. You can u... | 0 | false | Line uses unavailable numbers: Step 3: 46 * 14 = 644 | [
[
"Step 1: 85 + 14 = 99\nStep 2: 99 - 53 = 46\nStep 3: 46 * 14 = 644"
],
[
"Step 1: 85 * 14 = 1190\nStep 2: 1190 - 53 = 1137"
],
[
"Step 1: 85 * 14 = 1190\nStep 2: 1190 - 53 = 1137"
],
[
""
],
[
"Step 1: 85 + 14 = 99\nStep 2: 99 - 53 = 46\nStep 3: 46 * 14 = 644",
"Step 1: 85 ... | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
fal... | [
[
"Line uses unavailable numbers: Step 3: 46 * 14 = 644"
],
[
"Incorrect final answer"
],
[
"Incorrect final answer"
],
[
"No answer"
],
[
"Line uses unavailable numbers: Step 3: 46 * 14 = 644",
"Line uses unavailable numbers: Step 3: 46 * 14 = 644",
"Line uses unavailabl... | [
[
""
],
[
""
],
[
""
],
[
""
],
[
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
... | [
"To solve this problem, we need to combine the given numbers [14, 53, 85] using basic arithmetic operations (+, -, *, /) so that the result equals 657. Let's break it down:\n\nStep 1: We start with the largest number, which is 85.\nStep 2: Now, we add 14 to 85, which gives us 99.\nStep 3: Next, we subtract 53 from ... | [
"Step 1: 85 + 14 = 99\nStep 2: 99 - 53 = 46\nStep 3: 46 * 14 = 644",
"Step 1: 85 * 14 = 1190\nStep 2: 1190 - 53 = 1137",
"Step 1: 85 * 14 = 1190\nStep 2: 1190 - 53 = 1137",
"",
"Step 1: 85 + 14 = 99\nStep 2: 99 - 53 = 46\nStep 3: 46 * 14 = 644"
] | [
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 85 + 14 = 99\nStep 2: 99 - 53 = 46\nStep 3: 46 * 14 = 644\nWas Correct: False\nTarget: 657",
"role": "user"
},
{
"content": "To solve this problem, we need to combine the given numbers [14, 53, 85] using basic arithmet... | ||
42 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 448 | {"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\nUsing the numbers [24, 88, 4], create an equation that equals 448. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to combine the given numbers [24, 88, 4] using basic arithmetic operations (+, -, *, /) so that the result equals 448. We'll start by trying different combinations of these numbers and operations until we find one that works.\n\nStep 1: Let's try multiplying tw... | countdown | To solve this problem, we need to combine the given numbers [24, 88, 4] using basic arithmetic operations (+, -, *, /) so that the result equals 448. We'll start by trying different combinations of these numbers and operations until we find one that works.
Step 1: Let's try multiplying two numbers from the set togethe... | 42 | 0 | Step 1: 24 * 88 = 2112
Step 2: 2112 / 4 = 527 | 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
Using the numbers [24, 88, 4], create an equation that equals 448. You can us... | 0 | false | Incorrect arithmetic in line: Step 2: 2112 / 4 = 527 | [
[
"Step 1: 24 * 88 = 2112\nStep 2: 2112 / 4 = 527"
],
[
""
],
[
""
],
[
"Step 1: 24 * 88 = 2112\nStep 2: 2112 / 4 = 527"
],
[
"Step 1: 24 * 88 = 2112\nStep 2: 2112 / 4 = 527"
],
[
"Step 1: 24 * 88 = 2112\nStep 2: 2112 / 4 = 527"
]
] | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"Incorrect arithmetic in line: Step 2: 2112 / 4 = 527"
],
[
"No answer"
],
[
"No answer"
],
[
"Incorrect arithmetic in line: Step 2: 2112 / 4 = 527"
],
[
"Incorrect arithmetic in line: Step 2: 2112 / 4 = 527"
],
[
"Incorrect arithmetic in line: Step 2: 2112 / 4 = 527"
... | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve this problem, we need to combine the given numbers [24, 88, 4] using basic arithmetic operations (+, -, *, /) so that the result equals 448. We'll start by trying different combinations of these numbers and operations until we find one that works.\n\nStep 1: Let's try multiplying two numbers from the set ... | [
"Step 1: 24 * 88 = 2112\nStep 2: 2112 / 4 = 527",
"",
"",
"Step 1: 24 * 88 = 2112\nStep 2: 2112 / 4 = 527",
"Step 1: 24 * 88 = 2112\nStep 2: 2112 / 4 = 527",
"Step 1: 24 * 88 = 2112\nStep 2: 2112 / 4 = 527"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 24 * 88 = 2112\nStep 2: 2112 / 4 = 527\nWas Correct: False\nTarget: 448",
"role": "user"
},
{
"content": "To solve this problem, we need to combine the given numbers [24, 88, 4] using basic arithmetic operations (+, -,... | ||
43 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 697 | {"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\nUsing the numbers [8, 15, 47], create an equation that equals 697. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be... | 1 | [true] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to use the numbers [8, 15, 47] exactly once and combine them using basic arithmetic operations to get the target number 697.\n\nHere's one way to do it:\n\nStep 1: First, let's try combining 15 and 47:\n 15 * 47 = 705\n\nStep 2: Now, we have 8 left. We need t... | countdown | To solve this problem, we need to use the numbers [8, 15, 47] exactly once and combine them using basic arithmetic operations to get the target number 697.
Here's one way to do it:
Step 1: First, let's try combining 15 and 47:
15 * 47 = 705
Step 2: Now, we have 8 left. We need to add 8 to 705 to reach our target ... | 43 | 0 | Step 1: 15 * 47 = 705
Step 2: 705 - 8 = 697 | 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
Using the numbers [8, 15, 47], create an equation that equals 697. You can us... | 0 | true | [
[
"Step 1: 15 * 47 = 705\nStep 2: 705 - 8 = 697"
],
[
"Step 1: 15 * 47 = 705\nStep 2: 705 - 8 = 697"
],
[
""
],
[
"Step 1: 15 * 47 = 705\nStep 2: 705 - 8 = 697"
],
[
"Step 1: 15 * 47 = 705\nStep 2: 705 - 8 = 697"
],
[
"Step 1: 15 * 47 = 705\nStep 2: 705 - 8 = 697"
]
] | [
[
true
],
[
true
],
[
false
],
[
true
],
[
true
],
[
true
]
] | [
[
""
],
[
""
],
[
"No answer"
],
[
""
],
[
""
],
[
""
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve this problem, we need to use the numbers [8, 15, 47] exactly once and combine them using basic arithmetic operations to get the target number 697.\n\nHere's one way to do it:\n\nStep 1: First, let's try combining 15 and 47:\n 15 * 47 = 705\n\nStep 2: Now, we have 8 left. We need to add 8 to 705 to reach... | [
"Step 1: 15 * 47 = 705\nStep 2: 705 - 8 = 697",
"Step 1: 15 * 47 = 705\nStep 2: 705 - 8 = 697",
"",
"Step 1: 15 * 47 = 705\nStep 2: 705 - 8 = 697",
"Step 1: 15 * 47 = 705\nStep 2: 705 - 8 = 697",
"Step 1: 15 * 47 = 705\nStep 2: 705 - 8 = 697"
] | [
true,
true,
false,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 15 * 47 = 705\nStep 2: 705 - 8 = 697\nWas Correct: True\nTarget: 697",
"role": "user"
},
{
"content": "To solve this problem, we need to use the numbers [8, 15, 47] exactly once and combine them using basic arithmetic ... | |||
44 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 319 | {"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\nUsing the numbers [46, 73, 5], create an equation that equals 319. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to find a combination of the given numbers [46, 73, 5] using basic arithmetic operations (+, -, *, /) that results in the target number 319.\n\nStep 1: Start with one of the numbers and try different combinations with the others.\nI'll start with 73 * 5 because... | countdown | To solve this problem, we need to find a combination of the given numbers [46, 73, 5] using basic arithmetic operations (+, -, *, /) that results in the target number 319.
Step 1: Start with one of the numbers and try different combinations with the others.
I'll start with 73 * 5 because it's close to our target numbe... | 44 | 0 | Step 1: 73 * 5 = 365
Step 2: 365 - 46 = 319 | 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
Using the numbers [46, 73, 5], create an equation that equals 319. You can us... | 0 | true | [
[
"Step 1: 73 * 5 = 365\nStep 2: 365 - 46 = 319"
],
[
"Step 1: 73 * 5 = 365\nStep 2: 365 - 46 = 319"
],
[
"Step 1: 73 * 5 = 365\nStep 2: 365 - 46 = 319"
],
[
"Step 1: 73 + 5 = 78\nStep 2: 78 + 73 = 151\nStep 3: 151 - 46 = 105\nStep 4: 105 + 73 = 178\nStep 5: 178 - 5 = 173\nStep 6: 173 + ... | [
[
true
],
[
true
],
[
true
],
[
false
],
[
false
],
[
false
]
] | [
[
""
],
[
""
],
[
""
],
[
"Line uses unavailable numbers: Step 2: 78 + 73 = 151"
],
[
"Line uses unavailable numbers: Step 2: 78 + 73 = 151"
],
[
"Line uses unavailable numbers: Step 2: 78 + 73 = 151"
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve this problem, we need to find a combination of the given numbers [46, 73, 5] using basic arithmetic operations (+, -, *, /) that results in the target number 319.\n\nStep 1: Start with one of the numbers and try different combinations with the others.\nI'll start with 73 * 5 because it's close to our targ... | [
"Step 1: 73 * 5 = 365\nStep 2: 365 - 46 = 319",
"Step 1: 73 * 5 = 365\nStep 2: 365 - 46 = 319",
"Step 1: 73 * 5 = 365\nStep 2: 365 - 46 = 319",
"Step 1: 73 + 5 = 78\nStep 2: 78 + 73 = 151\nStep 3: 151 - 46 = 105\nStep 4: 105 + 73 = 178\nStep 5: 178 - 5 = 173\nStep 6: 173 + 73 = 246\nStep 7: 246 - 46 = 200\nSt... | [
true,
true,
true,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 73 * 5 = 365\nStep 2: 365 - 46 = 319\nWas Correct: True\nTarget: 319",
"role": "user"
},
{
"content": "To solve this problem, we need to find a combination of the given numbers [46, 73, 5] using basic arithmetic operat... | |||
45 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 672 | {"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\nUsing the numbers [71, 24, 43], create an equation that equals 672. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to use the numbers [71, 24, 43] exactly once and apply basic arithmetic operations to get the target number 672. Let's break it down:\n\nStep 1: We start with the largest number, which is 71. \n - Step 1.1: 71 * 24 = 1704\n\nStep 2: Now, we have 1704 and we n... | countdown | To solve this problem, we need to use the numbers [71, 24, 43] exactly once and apply basic arithmetic operations to get the target number 672. Let's break it down:
Step 1: We start with the largest number, which is 71.
- Step 1.1: 71 * 24 = 1704
Step 2: Now, we have 1704 and we need to reach 672.
- Step 2.1: ... | 45 | 0 | Step 1: 71 * 24 = 1704
Step 2: 1704 - 43 = 1661
Step 3: 1661 + 24 = 1685
Step 4: 1685 / 71 = 24 | 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
Using the numbers [71, 24, 43], create an equation that equals 672. You can u... | 0 | false | Line uses unavailable numbers: Step 3: 1661 + 24 = 1685 | [
[
"Step 1: 71 * 24 = 1704\nStep 2: 1704 - 43 = 1661\nStep 3: 1661 + 24 = 1685\nStep 4: 1685 / 71 = 24"
],
[
""
]
] | [
[
false
],
[
false
]
] | [
[
"Line uses unavailable numbers: Step 3: 1661 + 24 = 1685"
],
[
"No answer"
]
] | [
[
""
],
[
""
]
] | [
"To solve this problem, we need to use the numbers [71, 24, 43] exactly once and apply basic arithmetic operations to get the target number 672. Let's break it down:\n\nStep 1: We start with the largest number, which is 71. \n - Step 1.1: 71 * 24 = 1704\n\nStep 2: Now, we have 1704 and we need to reach 672.\n -... | [
"Step 1: 71 * 24 = 1704\nStep 2: 1704 - 43 = 1661\nStep 3: 1661 + 24 = 1685\nStep 4: 1685 / 71 = 24",
""
] | [
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 71 * 24 = 1704\nStep 2: 1704 - 43 = 1661\nStep 3: 1661 + 24 = 1685\nStep 4: 1685 / 71 = 24\nWas Correct: False\nTarget: 672",
"role": "user"
},
{
"content": "To solve this problem, we need to use the numbers [71, 24, 4... | ||
46 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 455 | {"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\nUsing the numbers [28, 7, 69], create an equation that equals 455. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this, we need to find a combination of the given numbers [28, 7, 69] using basic arithmetic operations that results in the target number 455. Let's start with some logical combinations:\n\nStep 1: First, let's try multiplying two of the numbers together:\n 28 * 69 = 1884\n\nStep 2... | countdown | To solve this, we need to find a combination of the given numbers [28, 7, 69] using basic arithmetic operations that results in the target number 455. Let's start with some logical combinations:
Step 1: First, let's try multiplying two of the numbers together:
28 * 69 = 1884
Step 2: Now, we have 1884 left to reach... | 46 | 0 | Step 1: 69 * 7 = 483
Step 2: 483 - 28 = 455 | 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
Using the numbers [28, 7, 69], create an equation that equals 455. You can us... | 0 | true | [
[
"Step 1: 69 * 7 = 483\nStep 2: 483 - 28 = 455"
],
[
"Step 1: 69 * 7 = 483\nStep 2: 483 - 28 = 455"
],
[
"Step 1: 69 * 7 = 483\nStep 2: 483 + 28 = 511",
"Step 1: 69 * 7 = 483\nStep 2: 483 + 28 = 511",
"Step 1: 69 * 7 = 483\nStep 2: 483 + 28 = 511",
"Step 1: 69 * 7 = 483\nStep 2: 483... | [
[
true
],
[
true
],
[
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
... | [
[
""
],
[
""
],
[
"Incorrect final answer",
"Incorrect final answer",
"Incorrect final answer",
"Incorrect final answer",
"Incorrect final answer",
"Incorrect final answer",
"Incorrect final answer",
"Incorrect final answer",
"Incorrect final answer",
"Incorre... | [
[
""
],
[
""
],
[
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
... | [
"To solve this, we need to find a combination of the given numbers [28, 7, 69] using basic arithmetic operations that results in the target number 455. Let's start with some logical combinations:\n\nStep 1: First, let's try multiplying two of the numbers together:\n 28 * 69 = 1884\n\nStep 2: Now, we have 1884 lef... | [
"Step 1: 69 * 7 = 483\nStep 2: 483 - 28 = 455",
"Step 1: 69 * 7 = 483\nStep 2: 483 - 28 = 455",
"Step 1: 69 * 7 = 483\nStep 2: 483 + 28 = 511"
] | [
true,
true,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 69 * 7 = 483\nStep 2: 483 - 28 = 455\nWas Correct: True\nTarget: 455",
"role": "user"
},
{
"content": "To solve this, we need to find a combination of the given numbers [28, 7, 69] using basic arithmetic operations tha... | |||
47 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 778 | {"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\nUsing the numbers [58, 22, 38], create an equation that equals 778. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to use the given numbers [58, 22, 38] and apply basic arithmetic operations to get the target number 778. Let's break it down step by step:\n\nStep 1: We start with the largest number, which is 58. \n - Step 1.1: Multiply 58 by 11 (the next largest number).\n... | countdown | To solve this problem, we need to use the given numbers [58, 22, 38] and apply basic arithmetic operations to get the target number 778. Let's break it down step by step:
Step 1: We start with the largest number, which is 58.
- Step 1.1: Multiply 58 by 11 (the next largest number).
Result: 58 * 11 = 638
Step... | 47 | 0 | 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
Using the numbers [58, 22, 38], create an equation that equals 778. You can u... | 0 | false | No answer | [
[
""
]
] | [
[
false
]
] | [
[
"No answer"
]
] | [
[
""
]
] | [
"To solve this problem, we need to use the given numbers [58, 22, 38] and apply basic arithmetic operations to get the target number 778. Let's break it down step by step:\n\nStep 1: We start with the largest number, which is 58. \n - Step 1.1: Multiply 58 by 11 (the next largest number).\n Result: 58 * 11 = ... | [
""
] | [
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \nWas Correct: False\nTarget: 778",
"role": "user"
},
{
"content": "To solve this problem, we need to use the given numbers [58, 22, 38] and apply basic arithmetic operations to get the target number 778. Let's break it down s... | |||
48 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 222 | {"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\nUsing the numbers [52, 14, 4], create an equation that equals 222. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be... | 1 | [true] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to use the numbers [52, 14, 4] exactly once and combine them using addition, subtraction, multiplication, or division to get the target number 222.\n\nHere\u2019s one way to achieve this:\n\nStep 1: Start with 52 and multiply it by 4 (since multiplying by 4 mig... | countdown | To solve this problem, we need to use the numbers [52, 14, 4] exactly once and combine them using addition, subtraction, multiplication, or division to get the target number 222.
Here’s one way to achieve this:
Step 1: Start with 52 and multiply it by 4 (since multiplying by 4 might help us reach close to 222).
52... | 48 | 0 | Step 1: 52 * 4 = 208
Step 2: 208 + 14 = 222 | 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
Using the numbers [52, 14, 4], create an equation that equals 222. You can us... | 0 | true | [
[
"Step 1: 52 * 4 = 208\nStep 2: 208 + 14 = 222"
],
[
"Step 1: 52 * 4 = 208\nStep 2: 208 + 14 = 222"
],
[
"Step 1: 52 + 14 = 66\nStep 2: 66 * 4 = 264\nStep 3: 264 - 14 = 250\nStep 4: 250 + 14 = 264\nStep 5: 264 - 14 = 250\nStep 6: 250 + 14 = 264\nStep 7: 264 - 14 = 250\nStep 8: 250 + 14 = 264\nS... | [
[
true
],
[
true
],
[
false
],
[
false
],
[
false
],
[
true
]
] | [
[
""
],
[
""
],
[
"Line uses unavailable numbers: Step 3: 264 - 14 = 250"
],
[
"Line uses unavailable numbers: Step 2: 66 - 14 = 52"
],
[
"Line uses unavailable numbers: Step 2: 66 - 14 = 52"
],
[
""
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve this problem, we need to use the numbers [52, 14, 4] exactly once and combine them using addition, subtraction, multiplication, or division to get the target number 222.\n\nHere’s one way to achieve this:\n\nStep 1: Start with 52 and multiply it by 4 (since multiplying by 4 might help us reach close to 22... | [
"Step 1: 52 * 4 = 208\nStep 2: 208 + 14 = 222",
"Step 1: 52 * 4 = 208\nStep 2: 208 + 14 = 222",
"Step 1: 52 + 14 = 66\nStep 2: 66 * 4 = 264\nStep 3: 264 - 14 = 250\nStep 4: 250 + 14 = 264\nStep 5: 264 - 14 = 250\nStep 6: 250 + 14 = 264\nStep 7: 264 - 14 = 250\nStep 8: 250 + 14 = 264\nStep 9: 264 - 14 = 250\nSte... | [
true,
true,
false,
false,
false,
true
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 52 * 4 = 208\nStep 2: 208 + 14 = 222\nWas Correct: True\nTarget: 222",
"role": "user"
},
{
"content": "To solve this problem, we need to use the numbers [52, 14, 4] exactly once and combine them using addition, subtrac... | |||
49 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 900 | {"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\nUsing the numbers [13, 70, 10], create an equation that equals 900. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to use the numbers [13, 70, 10] exactly once and combine them using basic arithmetic operations to get the target number 900.\n\nHere\u2019s how we can break it down:\n\n1. First, let's try multiplying two of the numbers together:\n - Multiplying 70 by 13 giv... | countdown | To solve this problem, we need to use the numbers [13, 70, 10] exactly once and combine them using basic arithmetic operations to get the target number 900.
Here’s how we can break it down:
1. First, let's try multiplying two of the numbers together:
- Multiplying 70 by 13 gives us \( 70 \times 13 = 910 \).
2. No... | 49 | 0 | Step 1: 70 * 13 = 910
Step 2: 910 - 10 = 900 | 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
Using the numbers [13, 70, 10], create an equation that equals 900. You can u... | 0 | true | [
[
"Step 1: 70 * 13 = 910\nStep 2: 910 - 10 = 900"
],
[
"Step 1: 70 * 13 = 910\nStep 2: 910 + 10 = 920\nStep 3: 920 - 10 = 910\nStep 4: 910 + 10 = 920",
"Step 1: 70 * 13 = 910\nStep 2: 910 - 10 = 900"
],
[
"Step 1: 70 * 13 = 910\nStep 2: 910 - 10 = 900"
],
[
"Step 1: 70 * 13 = 910\nSt... | [
[
true
],
[
false,
true
],
[
true
],
[
true,
true
],
[
true,
true,
true
],
[
false,
false
]
] | [
[
""
],
[
"Line uses unavailable numbers: Step 3: 920 - 10 = 910",
""
],
[
""
],
[
"",
""
],
[
"",
"",
""
],
[
"Line uses unavailable numbers: Step 1: 910 - 10 = 900",
"Line uses unavailable numbers: Step 1: 910 - 10 = 900"
]
] | [
[
""
],
[
"",
""
],
[
""
],
[
"",
""
],
[
"",
"",
""
],
[
"",
""
]
] | [
"To solve this problem, we need to use the numbers [13, 70, 10] exactly once and combine them using basic arithmetic operations to get the target number 900.\n\nHere’s how we can break it down:\n\n1. First, let's try multiplying two of the numbers together:\n - Multiplying 70 by 13 gives us \\( 70 \\times 13 = 91... | [
"Step 1: 70 * 13 = 910\nStep 2: 910 - 10 = 900",
"Step 1: 70 * 13 = 910\nStep 2: 910 - 10 = 900",
"Step 1: 70 * 13 = 910\nStep 2: 910 - 10 = 900",
"Step 1: 70 * 13 = 910\nStep 2: 910 - 10 = 900",
"Step 1: 70 * 13 = 910\nStep 2: 910 - 10 = 900",
"Step 1: 910 - 10 = 900"
] | [
true,
true,
true,
true,
true,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 70 * 13 = 910\nStep 2: 910 - 10 = 900\nWas Correct: True\nTarget: 900",
"role": "user"
},
{
"content": "To solve this problem, we need to use the numbers [13, 70, 10] exactly once and combine them using basic arithmeti... | |||
50 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 616 | {"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\nUsing the numbers [23, 34, 56], create an equation that equals 616. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to find a combination of the given numbers [23, 34, 56] using basic arithmetic operations (+, -, *, /) such that the result equals 616.\n\nStep 1: Let's start with multiplication because it often gives us large numbers quickly.\nMultiplying 56 and 34 gives us 1... | countdown | To solve this problem, we need to find a combination of the given numbers [23, 34, 56] using basic arithmetic operations (+, -, *, /) such that the result equals 616.
Step 1: Let's start with multiplication because it often gives us large numbers quickly.
Multiplying 56 and 34 gives us 1904.
Step 2: Now, we have 1904... | 50 | 0 | Step 1: 56 * 34 = 1904
Step 2: 1904 - 616 = 0 | 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
Using the numbers [23, 34, 56], create an equation that equals 616. You can u... | 0 | false | Incorrect arithmetic in line: Step 2: 1904 - 616 = 0 | [
[
"Step 1: 56 * 34 = 1904\nStep 2: 1904 - 616 = 0"
],
[
""
],
[
""
],
[
"Step 1: 56 * 34 = 1904\nStep 2: 1904 - 616 = 1288"
],
[
""
]
] | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"Incorrect arithmetic in line: Step 2: 1904 - 616 = 0"
],
[
"No answer"
],
[
"No answer"
],
[
"Line uses unavailable numbers: Step 2: 1904 - 616 = 1288"
],
[
"No answer"
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve this problem, we need to find a combination of the given numbers [23, 34, 56] using basic arithmetic operations (+, -, *, /) such that the result equals 616.\n\nStep 1: Let's start with multiplication because it often gives us large numbers quickly.\nMultiplying 56 and 34 gives us 1904.\n\nStep 2: Now, we... | [
"Step 1: 56 * 34 = 1904\nStep 2: 1904 - 616 = 0",
"",
"",
"Step 1: 56 * 34 = 1904\nStep 2: 1904 - 616 = 1288",
""
] | [
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 56 * 34 = 1904\nStep 2: 1904 - 616 = 0\nWas Correct: False\nTarget: 616",
"role": "user"
},
{
"content": "To solve this problem, we need to find a combination of the given numbers [23, 34, 56] using basic arithmetic op... | ||
51 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 239 | {"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\nUsing the numbers [91, 2, 74], create an equation that equals 239. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to combine the given numbers [91, 2, 74] using basic arithmetic operations (+, -, *, /) so that the result equals 239. Let's break it down:\n\nStep 1: First, let's try adding two of the numbers together. We can start with 91 and 74:\n 91 + 74 = 165\n\nStep 2:... | countdown | To solve this problem, we need to combine the given numbers [91, 2, 74] using basic arithmetic operations (+, -, *, /) so that the result equals 239. Let's break it down:
Step 1: First, let's try adding two of the numbers together. We can start with 91 and 74:
91 + 74 = 165
Step 2: Now, we have 165 left from our i... | 51 | 0 | Step 1: 91 + 74 = 165
Step 2: 165 + 74 = 239 | 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
Using the numbers [91, 2, 74], create an equation that equals 239. You can us... | 0 | false | Line uses unavailable numbers: Step 2: 165 + 74 = 239 | [
[
"Step 1: 91 + 74 = 165\nStep 2: 165 + 74 = 239"
],
[
"Step 1: 91 + 2 = 93\nStep 2: 93 + 74 = 167\nStep 3: 167 + 74 = 241"
],
[
"Step 1: 91 + 2 = 93\nStep 2: 93 + 74 = 167\nStep 3: 167 + 74 = 241",
"Step 1: 91 + 2 = 93\nStep 2: 93 + 74 = 167\nStep 3: 167 + 74 = 241"
],
[
"Step 1: 91... | [
[
false
],
[
false
],
[
false,
false
],
[
false,
false,
false,
false
],
[
false
],
[
false
]
] | [
[
"Line uses unavailable numbers: Step 2: 165 + 74 = 239"
],
[
"Line uses unavailable numbers: Step 3: 167 + 74 = 241"
],
[
"Line uses unavailable numbers: Step 3: 167 + 74 = 241",
"Line uses unavailable numbers: Step 3: 167 + 74 = 241"
],
[
"Line uses unavailable numbers: Step 3: 16... | [
[
""
],
[
""
],
[
"",
""
],
[
"",
"",
"",
""
],
[
""
],
[
""
]
] | [
"To solve this problem, we need to combine the given numbers [91, 2, 74] using basic arithmetic operations (+, -, *, /) so that the result equals 239. Let's break it down:\n\nStep 1: First, let's try adding two of the numbers together. We can start with 91 and 74:\n 91 + 74 = 165\n\nStep 2: Now, we have 165 left ... | [
"Step 1: 91 + 74 = 165\nStep 2: 165 + 74 = 239",
"Step 1: 91 + 2 = 93\nStep 2: 93 + 74 = 167\nStep 3: 167 + 74 = 241",
"Step 1: 91 + 2 = 93\nStep 2: 93 + 74 = 167\nStep 3: 167 + 74 = 241",
"Step 1: 91 + 2 = 93\nStep 2: 93 + 74 = 167\nStep 3: 167 + 74 = 241",
"Step 1: 91 + 2 = 93\nStep 2: 93 + 74 = 167\nStep... | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 91 + 74 = 165\nStep 2: 165 + 74 = 239\nWas Correct: False\nTarget: 239",
"role": "user"
},
{
"content": "To solve this problem, we need to combine the given numbers [91, 2, 74] using basic arithmetic operations (+, -, ... | ||
52 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 153 | {"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\nUsing the numbers [65, 14, 74], create an equation that equals 153. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 1 | [true] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to find a combination of the given numbers [65, 14, 74] using basic arithmetic operations that results in the target number 153.\n\nStep 1: First, let's try adding two of the numbers together.\n65 + 74 = 139\n\nStep 2: Now, we have 139 left from our original su... | countdown | To solve this problem, we need to find a combination of the given numbers [65, 14, 74] using basic arithmetic operations that results in the target number 153.
Step 1: First, let's try adding two of the numbers together.
65 + 74 = 139
Step 2: Now, we have 139 left from our original sum. We want to reach 153, so we'll... | 52 | 0 | Step 1: 65 + 74 = 139
Step 2: 139 + 14 = 153 | 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
Using the numbers [65, 14, 74], create an equation that equals 153. You can u... | 0 | true | [
[
"Step 1: 65 + 74 = 139\nStep 2: 139 + 14 = 153"
],
[
"65 + 74 + 14 = 153"
],
[
"Step 1: 65 + 74 = 139\nStep 2: 139 - 14 = 125\nStep 3: 125 + 65 = 190"
],
[
"Step 1: 65 + 74 = 139\nStep 2: 139 - 14 = 125\nStep 3: 125 + 65 = 190",
"Step 1: 65 + 74 = 139\nStep 2: 139 - 14 = 125\nStep ... | [
[
true
],
[
true
],
[
false
],
[
false,
false,
false
],
[
true
],
[
true
]
] | [
[
""
],
[
""
],
[
"Line uses unavailable numbers: Step 3: 125 + 65 = 190"
],
[
"Line uses unavailable numbers: Step 3: 125 + 65 = 190",
"Line uses unavailable numbers: Step 3: 125 + 65 = 190",
"Line uses unavailable numbers: Step 2: 74 - 14 = 60"
],
[
""
],
[
""
... | [
[
""
],
[
""
],
[
""
],
[
"",
"",
""
],
[
""
],
[
""
]
] | [
"To solve this problem, we need to find a combination of the given numbers [65, 14, 74] using basic arithmetic operations that results in the target number 153.\n\nStep 1: First, let's try adding two of the numbers together.\n65 + 74 = 139\n\nStep 2: Now, we have 139 left from our original sum. We want to reach 153... | [
"Step 1: 65 + 74 = 139\nStep 2: 139 + 14 = 153",
"65 + 74 + 14 = 153",
"Step 1: 65 + 74 = 139\nStep 2: 139 - 14 = 125\nStep 3: 125 + 65 = 190",
"Step 1: 65 - 14 = 51\nStep 2: 74 - 14 = 60\nStep 3: 51 + 60 + 14 = 190",
"Step 1: 65 + 74 = 139\nStep 2: 139 + 14 = 153",
"Step 1: 65 + 74 = 139\nStep 2: 139 + 1... | [
true,
true,
false,
false,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 65 + 74 = 139\nStep 2: 139 + 14 = 153\nWas Correct: True\nTarget: 153",
"role": "user"
},
{
"content": "To solve this problem, we need to find a combination of the given numbers [65, 14, 74] using basic arithmetic oper... | |||
53 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 868 | {"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\nUsing the numbers [53, 14, 9], create an equation that equals 868. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem using the numbers [53, 14, 9] and basic arithmetic operations, we need to find a combination that equals 868. \n\nFirst, let's try multiplying two of the numbers together:\nStep 1: 53 * 9 = 477\n\nNow we have 477 left to reach our target of 868. We can add the remaining... | countdown | To solve this problem using the numbers [53, 14, 9] and basic arithmetic operations, we need to find a combination that equals 868.
First, let's try multiplying two of the numbers together:
Step 1: 53 * 9 = 477
Now we have 477 left to reach our target of 868. We can add the remaining number (14):
Step 2: 477 + 14 = ... | 53 | 0 | 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
Using the numbers [53, 14, 9], create an equation that equals 868. You can us... | 0 | false | No answer | [
[
""
]
] | [
[
false
]
] | [
[
"No answer"
]
] | [
[
""
]
] | [
"To solve this problem using the numbers [53, 14, 9] and basic arithmetic operations, we need to find a combination that equals 868. \n\nFirst, let's try multiplying two of the numbers together:\nStep 1: 53 * 9 = 477\n\nNow we have 477 left to reach our target of 868. We can add the remaining number (14):\nStep 2: ... | [
""
] | [
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \nWas Correct: False\nTarget: 868",
"role": "user"
},
{
"content": "To solve this problem using the numbers [53, 14, 9] and basic arithmetic operations, we need to find a combination that equals 868. \n\nFirst, let's try multi... | |||
54 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 256 | {"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\nUsing the numbers [4, 100, 89], create an equation that equals 256. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to use the numbers [4, 100, 89] exactly once and combine them using basic arithmetic operations to reach the target number 256.\n\nHere\u2019s how we can do it:\n\nStep 1: Start with the largest number, which is 100.\nStep 2: Add 89 to get closer to our target.... | countdown | To solve this problem, we need to use the numbers [4, 100, 89] exactly once and combine them using basic arithmetic operations to reach the target number 256.
Here’s how we can do it:
Step 1: Start with the largest number, which is 100.
Step 2: Add 89 to get closer to our target. We now have 100 + 89 = 189.
Step 3: T... | 54 | 0 | Step 1: 100 + 89 = 189
Step 2: 189 + 67 = 256 | 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
Using the numbers [4, 100, 89], create an equation that equals 256. You can u... | 0 | false | Line uses unavailable numbers: Step 2: 189 + 67 = 256 | [
[
"Step 1: 100 + 89 = 189\nStep 2: 189 + 67 = 256"
],
[
"Step 1: 100 - 4 = 96\nStep 2: 96 + 89 = 185\nStep 3: 185 + 71 = 256"
],
[
"Step 1: 100 - 4 = 96\nStep 2: 96 + 89 = 185\nStep 3: 185 + 71 = 256",
"Step 1: 100 - 4 = 96\nStep 2: 96 + 89 = 185\nStep 3: 185 + 71 = 256",
"Step 1: 100 - ... | [
[
false
],
[
false
],
[
false,
false,
false
],
[
false
],
[
false,
false
],
[
false,
false,
false
]
] | [
[
"Line uses unavailable numbers: Step 2: 189 + 67 = 256"
],
[
"Line uses unavailable numbers: Step 3: 185 + 71 = 256"
],
[
"Line uses unavailable numbers: Step 3: 185 + 71 = 256",
"Line uses unavailable numbers: Step 3: 185 + 71 = 256",
"Line uses unavailable numbers: Step 3: 185 + 71 =... | [
[
""
],
[
""
],
[
"",
"",
""
],
[
""
],
[
"",
""
],
[
"",
"",
""
]
] | [
"To solve this problem, we need to use the numbers [4, 100, 89] exactly once and combine them using basic arithmetic operations to reach the target number 256.\n\nHere’s how we can do it:\n\nStep 1: Start with the largest number, which is 100.\nStep 2: Add 89 to get closer to our target. We now have 100 + 89 = 189.... | [
"Step 1: 100 + 89 = 189\nStep 2: 189 + 67 = 256",
"Step 1: 100 - 4 = 96\nStep 2: 96 + 89 = 185\nStep 3: 185 + 71 = 256",
"Step 1: 100 - 4 = 96\nStep 2: 96 + 89 = 185\nStep 3: 185 + 71 = 256",
"Step 1: 100 - 4 = 96\nStep 2: 96 + 89 = 185\nStep 3: 185 + 71 = 256",
"Step 1: 100 - 4 = 96\nStep 2: 96 + 89 = 185\... | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 100 + 89 = 189\nStep 2: 189 + 67 = 256\nWas Correct: False\nTarget: 256",
"role": "user"
},
{
"content": "To solve this problem, we need to use the numbers [4, 100, 89] exactly once and combine them using basic arithme... | ||
55 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 128 | {"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\nUsing the numbers [41, 21, 66], create an equation that equals 128. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 1 | [true] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to use the numbers [41, 21, 66] exactly once and combine them using basic arithmetic operations to reach the target number 128. Let's break it down:\n\nStep 1: We start with the largest number, which is 66.\nStep 2: Next, we add 41 to 66, which gives us 107.\nS... | countdown | To solve this problem, we need to use the numbers [41, 21, 66] exactly once and combine them using basic arithmetic operations to reach the target number 128. Let's break it down:
Step 1: We start with the largest number, which is 66.
Step 2: Next, we add 41 to 66, which gives us 107.
Step 3: Finally, we subtract 21 f... | 55 | 0 | Step 1: 66 + 41 = 107
Step 2: 107 - 21 = 86 | 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
Using the numbers [41, 21, 66], create an equation that equals 128. You can u... | 0 | false | Incorrect final answer | [
[
"Step 1: 66 + 41 = 107\nStep 2: 107 - 21 = 86"
],
[
"Step 1: 66 + 41 + 21 = 128"
],
[
"Step 1: 66 + 41 + 21 = 128"
],
[
"Step 1: 66 + 41 + 21 = 128"
],
[
"Step 1: 66 + 41 + 21 = 128"
],
[
"Step 1: 66 + 41 + 21 = 128",
"Step 1: 66 + 41 + 21 = 128"
]
] | [
[
false
],
[
true
],
[
true
],
[
true
],
[
true
],
[
true,
true
]
] | [
[
"Incorrect final answer"
],
[
""
],
[
""
],
[
""
],
[
""
],
[
"",
""
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
"",
""
]
] | [
"To solve this problem, we need to use the numbers [41, 21, 66] exactly once and combine them using basic arithmetic operations to reach the target number 128. Let's break it down:\n\nStep 1: We start with the largest number, which is 66.\nStep 2: Next, we add 41 to 66, which gives us 107.\nStep 3: Finally, we subt... | [
"Step 1: 66 + 41 = 107\nStep 2: 107 - 21 = 86",
"Step 1: 66 + 41 + 21 = 128",
"Step 1: 66 + 41 + 21 = 128",
"Step 1: 66 + 41 + 21 = 128",
"Step 1: 66 + 41 + 21 = 128",
"Step 1: 66 + 41 + 21 = 128"
] | [
false,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 66 + 41 = 107\nStep 2: 107 - 21 = 86\nWas Correct: False\nTarget: 128",
"role": "user"
},
{
"content": "To solve this problem, we need to use the numbers [41, 21, 66] exactly once and combine them using basic arithmeti... | ||
56 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 756 | {"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\nUsing the numbers [99, 87, 63], create an equation that equals 756. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to find a combination of the given numbers [99, 87, 63] using basic arithmetic operations (addition, subtraction, multiplication, division) so that the result equals 756. Let's break it down:\n\nStep 1: We start with the largest number, which is 99. If we divid... | countdown | To solve this problem, we need to find a combination of the given numbers [99, 87, 63] using basic arithmetic operations (addition, subtraction, multiplication, division) so that the result equals 756. Let's break it down:
Step 1: We start with the largest number, which is 99. If we divide 99 by any of the other numbe... | 56 | 0 | Step 1: 99 / 87 = 1.1389
Step 2: 1.1389 * 1.1389 * 1.1389 ≈ 756 | 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
Using the numbers [99, 87, 63], create an equation that equals 756. You can u... | 0 | false | Incorrect arithmetic in line: Step 1: 99 / 87 = 1.1389 | [
[
"Step 1: 99 / 87 = 1.1389\nStep 2: 1.1389 * 1.1389 * 1.1389 ≈ 756"
],
[
"Step 1: 99 * 87 = 8583\nStep 2: 87 * 63 = 5617\n\nAdding these gives:\n 8583 + 5617 = 14199\n\nThis is not 756. I apologize for the mistake. The correct answer is:"
],
[
"Step 1: 99 * 87 = 8583\nStep 2: 87 * 63 = 5617\n... | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false,
false
],
[
false,
false,
false
]
] | [
[
"Incorrect arithmetic in line: Step 1: 99 / 87 = 1.1389"
],
[
"Incorrect arithmetic in line: Step 1: 99 * 87 = 8583"
],
[
"Incorrect arithmetic in line: Step 1: 99 * 87 = 8583"
],
[
"Incorrect arithmetic in line: Step 1: 99 * 87 = 8583"
],
[
"Incorrect arithmetic in line: Step ... | [
[
""
],
[
""
],
[
""
],
[
""
],
[
"",
""
],
[
"",
"",
""
]
] | [
"To solve this problem, we need to find a combination of the given numbers [99, 87, 63] using basic arithmetic operations (addition, subtraction, multiplication, division) so that the result equals 756. Let's break it down:\n\nStep 1: We start with the largest number, which is 99. If we divide 99 by any of the othe... | [
"Step 1: 99 / 87 = 1.1389\nStep 2: 1.1389 * 1.1389 * 1.1389 ≈ 756",
"Step 1: 99 * 87 = 8583\nStep 2: 87 * 63 = 5617\n\nAdding these gives:\n 8583 + 5617 = 14199\n\nThis is not 756. I apologize for the mistake. The correct answer is:",
"Step 1: 99 * 87 = 8583\nStep 2: 87 * 63 = 5617\nStep 3: 8583 - 63 = 8520\n... | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 99 / 87 = 1.1389\nStep 2: 1.1389 * 1.1389 * 1.1389 ≈ 756\nWas Correct: False\nTarget: 756",
"role": "user"
},
{
"content": "To solve this problem, we need to find a combination of the given numbers [99, 87, 63] using b... | ||
57 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 123 | {"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\nUsing the numbers [93, 96, 66], create an equation that equals 123. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to use the given numbers [93, 96, 66] with basic arithmetic operations (+, -, *, /) and ensure that each number is used exactly once to get the result of 123.\n\nHere\u2019s how we can break it down:\n\n1. **Start with the largest number**: We should start with... | countdown | To solve this problem, we need to use the given numbers [93, 96, 66] with basic arithmetic operations (+, -, *, /) and ensure that each number is used exactly once to get the result of 123.
Here’s how we can break it down:
1. **Start with the largest number**: We should start with the largest number to try and reach ... | 57 | 0 | 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
Using the numbers [93, 96, 66], create an equation that equals 123. You can u... | 0 | false | No answer | [
[
""
]
] | [
[
false
]
] | [
[
"No answer"
]
] | [
[
""
]
] | [
"To solve this problem, we need to use the given numbers [93, 96, 66] with basic arithmetic operations (+, -, *, /) and ensure that each number is used exactly once to get the result of 123.\n\nHere’s how we can break it down:\n\n1. **Start with the largest number**: We should start with the largest number to try a... | [
""
] | [
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \nWas Correct: False\nTarget: 123",
"role": "user"
},
{
"content": "To solve this problem, we need to use the given numbers [93, 96, 66] with basic arithmetic operations (+, -, *, /) and ensure that each number is used exactly... | |||
58 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 698 | {"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\nUsing the numbers [41, 40, 18], create an equation that equals 698. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 1 | [true] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem using the given numbers [41, 40, 18] and creating an equation that equals 698, we need to find a combination of these numbers through addition, subtraction, multiplication, or division that results in 698.\n\nHere's one possible solution:\n\nStep 1: Start with multiplyi... | countdown | To solve this problem using the given numbers [41, 40, 18] and creating an equation that equals 698, we need to find a combination of these numbers through addition, subtraction, multiplication, or division that results in 698.
Here's one possible solution:
Step 1: Start with multiplying 41 and 40 (since their produc... | 58 | 0 | Step 1: 41 * 18 = 738
Step 2: 738 - 40 = 698 | 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
Using the numbers [41, 40, 18], create an equation that equals 698. You can u... | 0 | true | [
[
"Step 1: 41 * 18 = 738\nStep 2: 738 - 40 = 698"
],
[
"Step 1: 41 * 18 = 738\nStep 2: 738 - 40 = 698"
],
[
"Step 1: 41 * 18 = 738\nStep 2: 738 - 40 = 698"
],
[
"Step 1: 41 * 18 = 738\nStep 2: 738 - 40 = 698",
"Step 1: 41 * 18 = 738\nStep 2: 738 - 40 = 698",
"Step 1: 41 * 18 = 73... | [
[
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[
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true,
true,
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true,
... | [
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[
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[
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[
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[
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"To solve this problem using the given numbers [41, 40, 18] and creating an equation that equals 698, we need to find a combination of these numbers through addition, subtraction, multiplication, or division that results in 698.\n\nHere's one possible solution:\n\nStep 1: Start with multiplying 41 and 40 (since the... | [
"Step 1: 41 * 18 = 738\nStep 2: 738 - 40 = 698",
"Step 1: 41 * 18 = 738\nStep 2: 738 - 40 = 698",
"Step 1: 41 * 18 = 738\nStep 2: 738 - 40 = 698",
"Step 1: 41 * 18 = 738\nStep 2: 738 - 40 = 698"
] | [
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 41 * 18 = 738\nStep 2: 738 - 40 = 698\nWas Correct: True\nTarget: 698",
"role": "user"
},
{
"content": "To solve this problem using the given numbers [41, 40, 18] and creating an equation that equals 698, we need to fi... | |||
59 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 240 | {"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\nUsing the numbers [96, 84, 60], create an equation that equals 240. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to find a combination of the given numbers [96, 84, 60] using basic arithmetic operations (+, -, *, /) that equals 240.\n\nStep 1: First, let's try adding all three numbers together.\n96 + 84 + 60 = 240\n\nThis works! We have used all three numbers exactly once... | countdown | To solve this problem, we need to find a combination of the given numbers [96, 84, 60] using basic arithmetic operations (+, -, *, /) that equals 240.
Step 1: First, let's try adding all three numbers together.
96 + 84 + 60 = 240
This works! We have used all three numbers exactly once and achieved the desired result ... | 59 | 0 | Step 1: 96 + 84 + 60 = 240 | 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
Using the numbers [96, 84, 60], create an equation that equals 240. You can u... | 0 | true | [
[
"Step 1: 96 + 84 + 60 = 240"
],
[
"Step 1: 96 - 84 = 12\nStep 2: 12 * 60 = 720\nStep 3: 720 - 96 = 624"
],
[
"Step 1: 96 + 84 - 60 = 240"
],
[
"Step 1: 96 + 84 - 60 = 240",
"Step 1: 96 + 84 + 60 = 240"
],
[
"Step 1: 96 + 84 - 60 = 240",
"Step 1: 96 + 84 = 180\nStep 2: 1... | [
[
true
],
[
false
],
[
false
],
[
false,
true
],
[
false,
false,
false,
false,
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false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false... | [
[
""
],
[
"Line uses unavailable numbers: Step 3: 720 - 96 = 624"
],
[
"Incorrect arithmetic in line: Step 1: 96 + 84 - 60 = 240"
],
[
"Incorrect arithmetic in line: Step 1: 96 + 84 - 60 = 240",
""
],
[
"Incorrect arithmetic in line: Step 1: 96 + 84 - 60 = 240",
"Line use... | [
[
""
],
[
""
],
[
""
],
[
"",
""
],
[
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"",
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"",
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"",
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"",
"",
"",
"",
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"",
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... | [
"To solve this problem, we need to find a combination of the given numbers [96, 84, 60] using basic arithmetic operations (+, -, *, /) that equals 240.\n\nStep 1: First, let's try adding all three numbers together.\n96 + 84 + 60 = 240\n\nThis works! We have used all three numbers exactly once and achieved the desir... | [
"Step 1: 96 + 84 + 60 = 240",
"Step 1: 96 - 84 = 12\nStep 2: 12 * 60 = 720\nStep 3: 720 - 96 = 624",
"Step 1: 96 + 84 - 60 = 240",
"Step 1: 96 + 84 + 60 = 240",
"Step 1: 96 + 84 = 180\nStep 2: 180 - 60 = 120\nStep 3: 120 * 2 = 240"
] | [
true,
false,
false,
true,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 96 + 84 + 60 = 240\nWas Correct: True\nTarget: 240",
"role": "user"
},
{
"content": "To solve this problem, we need to find a combination of the given numbers [96, 84, 60] using basic arithmetic operations (+, -, *, /)... | |||
60 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 984 | {"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\nUsing the numbers [89, 94, 10], create an equation that equals 984. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to use the numbers [89, 94, 10] exactly once and apply basic arithmetic operations to get the target number 984. Let's break it down:\n\nStep 1: We start with the largest number, which is 94. \n - Step 1.1: Multiply 94 by 10 (the next largest number)\n Re... | countdown | To solve this problem, we need to use the numbers [89, 94, 10] exactly once and apply basic arithmetic operations to get the target number 984. Let's break it down:
Step 1: We start with the largest number, which is 94.
- Step 1.1: Multiply 94 by 10 (the next largest number)
Result: 94 * 10 = 940
Step 2: Now... | 60 | 0 | 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
Using the numbers [89, 94, 10], create an equation that equals 984. You can u... | 0 | false | No answer | [
[
""
]
] | [
[
false
]
] | [
[
"No answer"
]
] | [
[
""
]
] | [
"To solve this problem, we need to use the numbers [89, 94, 10] exactly once and apply basic arithmetic operations to get the target number 984. Let's break it down:\n\nStep 1: We start with the largest number, which is 94. \n - Step 1.1: Multiply 94 by 10 (the next largest number)\n Result: 94 * 10 = 940\n\n... | [
""
] | [
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \nWas Correct: False\nTarget: 984",
"role": "user"
},
{
"content": "To solve this problem, we need to use the numbers [89, 94, 10] exactly once and apply basic arithmetic operations to get the target number 984. Let's break it... | |||
61 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 147 | {"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\nUsing the numbers [78, 88, 19], create an equation that equals 147. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 1 | [true] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to use the given numbers [78, 88, 19] exactly once and combine them using basic arithmetic operations to get the target number 147.\n\nHere\u2019s how we can break it down:\n\n1. First, let's try adding two of the numbers together:\n - Adding 78 and 88 gives ... | countdown | To solve this problem, we need to use the given numbers [78, 88, 19] exactly once and combine them using basic arithmetic operations to get the target number 147.
Here’s how we can break it down:
1. First, let's try adding two of the numbers together:
- Adding 78 and 88 gives us 166.
2. Now, we have to adjust our... | 61 | 0 | Step 1: 78 + 88 = 166
Step 2: 166 - 19 = 147 | 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
Using the numbers [78, 88, 19], create an equation that equals 147. You can u... | 0 | true | [
[
"Step 1: 78 + 88 = 166\nStep 2: 166 - 19 = 147"
],
[
"Step 1: 78 + 88 = 166\nStep 2: 166 - 19 = 147"
],
[
"Step 1: 78 + 88 = 166\nStep 2: 166 - 19 = 147"
],
[
"Step 1: 78 + 88 = 166\nStep 2: 166 - 19 = 147"
],
[
"Step 1: 78 + 88 = 166\nStep 2: 166 - 19 = 147"
],
[
"Step... | [
[
true
],
[
true
],
[
true
],
[
true
],
[
true
],
[
true
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve this problem, we need to use the given numbers [78, 88, 19] exactly once and combine them using basic arithmetic operations to get the target number 147.\n\nHere’s how we can break it down:\n\n1. First, let's try adding two of the numbers together:\n - Adding 78 and 88 gives us 166.\n\n2. Now, we have t... | [
"Step 1: 78 + 88 = 166\nStep 2: 166 - 19 = 147",
"Step 1: 78 + 88 = 166\nStep 2: 166 - 19 = 147",
"Step 1: 78 + 88 = 166\nStep 2: 166 - 19 = 147",
"Step 1: 78 + 88 = 166\nStep 2: 166 - 19 = 147",
"Step 1: 78 + 88 = 166\nStep 2: 166 - 19 = 147",
"Step 1: 78 + 88 = 166\nStep 2: 166 - 19 = 147"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 78 + 88 = 166\nStep 2: 166 - 19 = 147\nWas Correct: True\nTarget: 147",
"role": "user"
},
{
"content": "To solve this problem, we need to use the given numbers [78, 88, 19] exactly once and combine them using basic ari... | |||
62 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 153 | {"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\nUsing the numbers [51, 48, 16], create an equation that equals 153. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to combine the given numbers [51, 48, 16] using basic arithmetic operations to get the target number 153. \n\nStep 1: First, let's try adding two of the numbers together.\n51 + 48 = 100\n\nStep 2: Now, we have 100 left from our original set. We can add another ... | countdown | To solve this problem, we need to combine the given numbers [51, 48, 16] using basic arithmetic operations to get the target number 153.
Step 1: First, let's try adding two of the numbers together.
51 + 48 = 100
Step 2: Now, we have 100 left from our original set. We can add another number to reach 153.
100 + 16 = 1... | 62 | 0 | 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
Using the numbers [51, 48, 16], create an equation that equals 153. You can u... | 0 | false | No answer | [
[
""
]
] | [
[
false
]
] | [
[
"No answer"
]
] | [
[
""
]
] | [
"To solve this problem, we need to combine the given numbers [51, 48, 16] using basic arithmetic operations to get the target number 153. \n\nStep 1: First, let's try adding two of the numbers together.\n51 + 48 = 100\n\nStep 2: Now, we have 100 left from our original set. We can add another number to reach 153.\n1... | [
""
] | [
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \nWas Correct: False\nTarget: 153",
"role": "user"
},
{
"content": "To solve this problem, we need to combine the given numbers [51, 48, 16] using basic arithmetic operations to get the target number 153. \n\nStep 1: First, le... | |||
63 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 935 | {"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\nUsing the numbers [70, 67, 15], create an equation that equals 935. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to use the given numbers [70, 67, 15] and apply basic arithmetic operations to get the target number 935. Let's break it down into steps:\n\nStep 1: We start with the largest number, which is 70. \n - Step 1.1: 70 * 15 = 1050\n\nStep 2: Now, we have 1050 and ... | countdown | To solve this problem, we need to use the given numbers [70, 67, 15] and apply basic arithmetic operations to get the target number 935. Let's break it down into steps:
Step 1: We start with the largest number, which is 70.
- Step 1.1: 70 * 15 = 1050
Step 2: Now, we have 1050 and we need to add another number to ... | 63 | 0 | Step 1: 70 * 15 = 1050
Step 2: 1050 - 67 = 983
Step 3: 983 - 15 = 968
Step 4: 968 + 70 = 1038 | 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
Using the numbers [70, 67, 15], create an equation that equals 935. You can u... | 0 | false | Line uses unavailable numbers: Step 3: 983 - 15 = 968 | [
[
"Step 1: 70 * 15 = 1050\nStep 2: 1050 - 67 = 983\nStep 3: 983 - 15 = 968\nStep 4: 968 + 70 = 1038"
],
[
"Step 1: 70 * 15 = 1050\nStep 2: 1050 - 67 = 983\nStep 3: 983 - 15 = 968\nStep 4: 968 + 70 = 1038"
],
[
"Step 1: 70 * 15 = 1050\nStep 2: 1050 - 67 = 983\nStep 3: 983 - 15 = 968\nStep 4: 968 ... | [
[
false
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[
false
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[
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false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
... | [
[
"Line uses unavailable numbers: Step 3: 983 - 15 = 968"
],
[
"Line uses unavailable numbers: Step 3: 983 - 15 = 968"
],
[
"Line uses unavailable numbers: Step 3: 983 - 15 = 968",
"Line uses unavailable numbers: Step 3: 983 - 15 = 968",
"Line uses unavailable numbers: Step 3: 983 - 15 =... | [
[
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[
""
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[
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"To solve this problem, we need to use the given numbers [70, 67, 15] and apply basic arithmetic operations to get the target number 935. Let's break it down into steps:\n\nStep 1: We start with the largest number, which is 70. \n - Step 1.1: 70 * 15 = 1050\n\nStep 2: Now, we have 1050 and we need to add another ... | [
"Step 1: 70 * 15 = 1050\nStep 2: 1050 - 67 = 983\nStep 3: 983 - 15 = 968\nStep 4: 968 + 70 = 1038",
"Step 1: 70 * 15 = 1050\nStep 2: 1050 - 67 = 983\nStep 3: 983 - 15 = 968\nStep 4: 968 + 70 = 1038",
"Step 1: 70 * 15 = 1050\nStep 2: 1050 - 67 = 983\nStep 3: 983 - 15 = 968\nStep 4: 968 + 70 = 1038"
] | [
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 70 * 15 = 1050\nStep 2: 1050 - 67 = 983\nStep 3: 983 - 15 = 968\nStep 4: 968 + 70 = 1038\nWas Correct: False\nTarget: 935",
"role": "user"
},
{
"content": "To solve this problem, we need to use the given numbers [70, 6... | ||
64 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 506 | {"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\nUsing the numbers [22, 46, 2], create an equation that equals 506. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to use the numbers [22, 46, 2] exactly once and apply basic arithmetic operations (+, -, *, /) to get the target number 506. Let's break it down:\n\nStep 1: We start with the smallest number, which is 2.\nStep 2: Adding another 2 gives us 4.\nStep 3: Multiplyin... | countdown | To solve this problem, we need to use the numbers [22, 46, 2] exactly once and apply basic arithmetic operations (+, -, *, /) to get the target number 506. Let's break it down:
Step 1: We start with the smallest number, which is 2.
Step 2: Adding another 2 gives us 4.
Step 3: Multiplying 46 by 2 gives us 92.
Step 4: F... | 64 | 0 | Step 1: 2 * 2 = 4
Step 2: 46 * 2 = 92
Step 3: 506 / 2 = 253 | 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
Using the numbers [22, 46, 2], create an equation that equals 506. You can us... | 0 | false | Line uses unavailable numbers: Step 1: 2 * 2 = 4 | [
[
"Step 1: 2 * 2 = 4\nStep 2: 46 * 2 = 92\nStep 3: 506 / 2 = 253"
],
[
"Step 1: 2 * 2 = 4\nStep 2: 46 * 2 = 92\nStep 3: 506 - 92 = 414"
],
[
"Step 1: 506 + 92 = 598\nStep 2: 598 - 46 = 552\nStep 3: 552 + 4 = 556"
],
[
""
]
] | [
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"Line uses unavailable numbers: Step 1: 2 * 2 = 4"
],
[
"Line uses unavailable numbers: Step 1: 2 * 2 = 4"
],
[
"Line uses unavailable numbers: Step 1: 506 + 92 = 598"
],
[
"No answer"
]
] | [
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve this problem, we need to use the numbers [22, 46, 2] exactly once and apply basic arithmetic operations (+, -, *, /) to get the target number 506. Let's break it down:\n\nStep 1: We start with the smallest number, which is 2.\nStep 2: Adding another 2 gives us 4.\nStep 3: Multiplying 46 by 2 gives us 92.\... | [
"Step 1: 2 * 2 = 4\nStep 2: 46 * 2 = 92\nStep 3: 506 / 2 = 253",
"Step 1: 2 * 2 = 4\nStep 2: 46 * 2 = 92\nStep 3: 506 - 92 = 414",
"Step 1: 506 + 92 = 598\nStep 2: 598 - 46 = 552\nStep 3: 552 + 4 = 556",
""
] | [
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 2 * 2 = 4\nStep 2: 46 * 2 = 92\nStep 3: 506 / 2 = 253\nWas Correct: False\nTarget: 506",
"role": "user"
},
{
"content": "To solve this problem, we need to use the numbers [22, 46, 2] exactly once and apply basic arithm... | ||
65 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 511 | {"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\nUsing the numbers [16, 31, 30], create an equation that equals 511. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem using the numbers [16, 31, 30] and creating an equation that equals 511, we need to find a combination of these numbers using addition, subtraction, multiplication, or division that results in 511.\n\nHere\u2019s how we can approach it:\n\n1. **Identify possible combina... | countdown | To solve this problem using the numbers [16, 31, 30] and creating an equation that equals 511, we need to find a combination of these numbers using addition, subtraction, multiplication, or division that results in 511.
Here’s how we can approach it:
1. **Identify possible combinations**: We need to try different com... | 65 | 0 | Step 1: 16 + 31 + 30 = 77 | 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
Using the numbers [16, 31, 30], create an equation that equals 511. You can u... | 0 | false | Incorrect final answer | [
[
"Step 1: 16 + 31 + 30 = 77"
],
[
""
],
[
""
],
[
"Step 1: 16 + 31 + 30 = 77\nStep 2: 77 * 6 = 462"
],
[
""
],
[
""
]
] | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"Incorrect final answer"
],
[
"No answer"
],
[
"No answer"
],
[
"Line uses unavailable numbers: Step 2: 77 * 6 = 462"
],
[
"No answer"
],
[
"No answer"
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve this problem using the numbers [16, 31, 30] and creating an equation that equals 511, we need to find a combination of these numbers using addition, subtraction, multiplication, or division that results in 511.\n\nHere’s how we can approach it:\n\n1. **Identify possible combinations**: We need to try diff... | [
"Step 1: 16 + 31 + 30 = 77",
"",
"",
"Step 1: 16 + 31 + 30 = 77\nStep 2: 77 * 6 = 462",
"",
""
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 16 + 31 + 30 = 77\nWas Correct: False\nTarget: 511",
"role": "user"
},
{
"content": "To solve this problem using the numbers [16, 31, 30] and creating an equation that equals 511, we need to find a combination of these... | ||
66 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 122 | {"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\nUsing the numbers [100, 88, 66], create an equation that equals 122. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work ... | 1 | [true] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to use the numbers [100, 88, 66] exactly once and combine them using basic arithmetic operations to get the target number 122.\n\nHere\u2019s one way to do it:\n\n1. Start with the largest number, which is 100.\n2. Add 88 to reach closer to our target.\n3. Subt... | countdown | To solve this problem, we need to use the numbers [100, 88, 66] exactly once and combine them using basic arithmetic operations to get the target number 122.
Here’s one way to do it:
1. Start with the largest number, which is 100.
2. Add 88 to reach closer to our target.
3. Subtract 66 from the sum to get close to 12... | 66 | 0 | Step 1: 100 + 88 = 188
Step 2: 188 - 66 = 122 | 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
Using the numbers [100, 88, 66], create an equation that equals 122. You can ... | 0 | true | [
[
"Step 1: 100 + 88 = 188\nStep 2: 188 - 66 = 122"
],
[
"Step 1: 100 + 88 - 66 = 122"
],
[
"Step 1: 100 + 88 - 66 = 122"
],
[
"100 + 88 - 66 = 122"
],
[
"Step 1: 100 + 88 - 66 = 122"
],
[
"Step 1: 100 + 88 - 66 = 122"
]
] | [
[
true
],
[
true
],
[
true
],
[
true
],
[
true
],
[
true
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve this problem, we need to use the numbers [100, 88, 66] exactly once and combine them using basic arithmetic operations to get the target number 122.\n\nHere’s one way to do it:\n\n1. Start with the largest number, which is 100.\n2. Add 88 to reach closer to our target.\n3. Subtract 66 from the sum to get ... | [
"Step 1: 100 + 88 = 188\nStep 2: 188 - 66 = 122",
"Step 1: 100 + 88 - 66 = 122",
"Step 1: 100 + 88 - 66 = 122",
"100 + 88 - 66 = 122",
"Step 1: 100 + 88 - 66 = 122",
"Step 1: 100 + 88 - 66 = 122"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 100 + 88 = 188\nStep 2: 188 - 66 = 122\nWas Correct: True\nTarget: 122",
"role": "user"
},
{
"content": "To solve this problem, we need to use the numbers [100, 88, 66] exactly once and combine them using basic arithme... | |||
67 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 130 | {"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\nUsing the numbers [59, 22, 93], create an equation that equals 130. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to find a combination of the given numbers [59, 22, 93] using basic arithmetic operations (+, -, *, /) that equals 130. Let's try different combinations:\n\nStep 1: Start with addition because it often provides a simple way to reach our target sum.\n - 59 + 2... | countdown | To solve this problem, we need to find a combination of the given numbers [59, 22, 93] using basic arithmetic operations (+, -, *, /) that equals 130. Let's try different combinations:
Step 1: Start with addition because it often provides a simple way to reach our target sum.
- 59 + 22 = 81
Step 2: Now add 93 to t... | 67 | 0 | Step 1: 59 + 22 = 81
Step 2: 81 + 93 = 174
Step 3: 174 - 59 = 115
Step 4: 115 - 22 = 93 | 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
Using the numbers [59, 22, 93], create an equation that equals 130. You can u... | 0 | false | Line uses unavailable numbers: Step 3: 174 - 59 = 115 | [
[
"Step 1: 59 + 22 = 81\nStep 2: 81 + 93 = 174\nStep 3: 174 - 59 = 115\nStep 4: 115 - 22 = 93"
],
[
"Step 1: 59 + 22 = 81\nStep 2: 81 + 93 = 174\nStep 3: 174 - 59 = 115\nStep 4: 115 - 22 = 93"
],
[
"Step 1: 59 + 22 = 81\nStep 2: 81 + 93 = 174\nStep 3: 174 - 59 = 115\nStep 4: 115 - 22 = 93"
],
... | [
[
false
],
[
false
],
[
false
],
[
false,
false
],
[
false,
false
]
] | [
[
"Line uses unavailable numbers: Step 3: 174 - 59 = 115"
],
[
"Line uses unavailable numbers: Step 3: 174 - 59 = 115"
],
[
"Line uses unavailable numbers: Step 3: 174 - 59 = 115"
],
[
"Line uses unavailable numbers: Step 3: 174 - 59 = 115",
"Line uses unavailable numbers: Step 3: 17... | [
[
""
],
[
""
],
[
""
],
[
"",
""
],
[
"",
""
]
] | [
"To solve this problem, we need to find a combination of the given numbers [59, 22, 93] using basic arithmetic operations (+, -, *, /) that equals 130. Let's try different combinations:\n\nStep 1: Start with addition because it often provides a simple way to reach our target sum.\n - 59 + 22 = 81\n\nStep 2: Now a... | [
"Step 1: 59 + 22 = 81\nStep 2: 81 + 93 = 174\nStep 3: 174 - 59 = 115\nStep 4: 115 - 22 = 93",
"Step 1: 59 + 22 = 81\nStep 2: 81 + 93 = 174\nStep 3: 174 - 59 = 115\nStep 4: 115 - 22 = 93",
"Step 1: 59 + 22 = 81\nStep 2: 81 + 93 = 174\nStep 3: 174 - 59 = 115\nStep 4: 115 - 22 = 93",
"Step 1: 59 + 22 = 81\nStep ... | [
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 59 + 22 = 81\nStep 2: 81 + 93 = 174\nStep 3: 174 - 59 = 115\nStep 4: 115 - 22 = 93\nWas Correct: False\nTarget: 130",
"role": "user"
},
{
"content": "To solve this problem, we need to find a combination of the given nu... | ||
68 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 147 | {"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\nUsing the numbers [17, 35, 95], create an equation that equals 147. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 1 | [true] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to find a combination of the given numbers [17, 35, 95] using basic arithmetic operations (+, -, *, /) that equals 147.\n\nStep 1: Let's start with addition. We can try adding two of the numbers together and then see if we can get close to 147.\n\n17 + 35 = 52\... | countdown | To solve this problem, we need to find a combination of the given numbers [17, 35, 95] using basic arithmetic operations (+, -, *, /) that equals 147.
Step 1: Let's start with addition. We can try adding two of the numbers together and then see if we can get close to 147.
17 + 35 = 52
This is too low, so let's try a... | 68 | 0 | Step 1: 17 + 95 = 112
Step 2: 112 + 35 = 147 | 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
Using the numbers [17, 35, 95], create an equation that equals 147. You can u... | 0 | true | [
[
"Step 1: 17 + 95 = 112\nStep 2: 112 + 35 = 147"
],
[
"Step 1: 17 + 35 = 52\nStep 2: 52 + 95 = 147"
],
[
"Step 1: 17 + 35 = 52\nStep 2: 52 + 95 = 147"
],
[
"Step 1: 17 + 35 = 52\nStep 2: 52 + 95 = 147",
"Step 1: 17 + 35 = 52\nStep 2: 52 + 95 = 147"
],
[
"Step 1: 17 + 35 = 52... | [
[
true
],
[
true
],
[
true
],
[
true,
true
],
[
true
],
[
true
]
] | [
[
""
],
[
""
],
[
""
],
[
"",
""
],
[
""
],
[
""
]
] | [
[
""
],
[
""
],
[
""
],
[
"",
""
],
[
""
],
[
""
]
] | [
"To solve this problem, we need to find a combination of the given numbers [17, 35, 95] using basic arithmetic operations (+, -, *, /) that equals 147.\n\nStep 1: Let's start with addition. We can try adding two of the numbers together and then see if we can get close to 147.\n\n17 + 35 = 52\n\nThis is too low, so ... | [
"Step 1: 17 + 95 = 112\nStep 2: 112 + 35 = 147",
"Step 1: 17 + 35 = 52\nStep 2: 52 + 95 = 147",
"Step 1: 17 + 35 = 52\nStep 2: 52 + 95 = 147",
"Step 1: 17 + 35 = 52\nStep 2: 52 + 95 = 147",
"Step 1: 17 + 35 = 52\nStep 2: 52 + 95 = 147",
"Step 1: 17 + 35 = 52\nStep 2: 52 + 95 = 147"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 17 + 95 = 112\nStep 2: 112 + 35 = 147\nWas Correct: True\nTarget: 147",
"role": "user"
},
{
"content": "To solve this problem, we need to find a combination of the given numbers [17, 35, 95] using basic arithmetic oper... | |||
69 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 189 | {"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\nUsing the numbers [58, 35, 96], create an equation that equals 189. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to find a combination of the given numbers [58, 35, 96] using basic arithmetic operations (+, -, *, /) that equals 189. Let's break it down step by step:\n\n1. First, let's try adding all three numbers together:\n 58 + 35 + 96 = 189\n\nThis equation uses all ... | countdown | To solve this problem, we need to find a combination of the given numbers [58, 35, 96] using basic arithmetic operations (+, -, *, /) that equals 189. Let's break it down step by step:
1. First, let's try adding all three numbers together:
58 + 35 + 96 = 189
This equation uses all three numbers exactly once and ad... | 69 | 0 | Step 1: 58 + 35 + 96 = 189 | 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
Using the numbers [58, 35, 96], create an equation that equals 189. You can u... | 0 | true | [
[
"Step 1: 58 + 35 + 96 = 189"
],
[
""
],
[
""
],
[
""
]
] | [
[
true
],
[
false
],
[
false
],
[
false
]
] | [
[
""
],
[
"No answer"
],
[
"No answer"
],
[
"No answer"
]
] | [
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve this problem, we need to find a combination of the given numbers [58, 35, 96] using basic arithmetic operations (+, -, *, /) that equals 189. Let's break it down step by step:\n\n1. First, let's try adding all three numbers together:\n 58 + 35 + 96 = 189\n\nThis equation uses all three numbers exactly o... | [
"Step 1: 58 + 35 + 96 = 189",
"",
"",
""
] | [
true,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 58 + 35 + 96 = 189\nWas Correct: True\nTarget: 189",
"role": "user"
},
{
"content": "To solve this problem, we need to find a combination of the given numbers [58, 35, 96] using basic arithmetic operations (+, -, *, /)... | |||
70 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 129 | {"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\nUsing the numbers [43, 91, 81], create an equation that equals 129. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to find a combination of the given numbers [43, 91, 81] using basic arithmetic operations (+, -, *, /) such that the result equals 129. \n\nFirst, let's try adding all three numbers together:\n43 + 91 + 81 = 125\n\nThis doesn't quite get us to 129, so let's sub... | countdown | To solve this problem, we need to find a combination of the given numbers [43, 91, 81] using basic arithmetic operations (+, -, *, /) such that the result equals 129.
First, let's try adding all three numbers together:
43 + 91 + 81 = 125
This doesn't quite get us to 129, so let's subtract something from it to adjust... | 70 | 0 | Step 1: 43 + 81 = 124
Step 2: 124 + 91 = 215 | 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
Using the numbers [43, 91, 81], create an equation that equals 129. You can u... | 0 | false | Incorrect final answer | [
[
"Step 1: 43 + 81 = 124\nStep 2: 124 + 91 = 215"
],
[
"Step 1: 43 + 91 = 134\nStep 2: 134 - 81 = 53\nStep 3: 53 + 43 = 96\nStep 4: 96 + 37 = 133"
],
[
"Step 1: 43 + 91 = 134\nStep 2: 134 - 81 = 53\nStep 3: 53 + 43 = 96\nStep 4: 96 + 37 = 133",
"Step 1: 43 + 91 = 134\nStep 2: 134 - 81 = 53\n... | [
[
false
],
[
false
],
[
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
]
] | [
[
"Incorrect final answer"
],
[
"Line uses unavailable numbers: Step 3: 53 + 43 = 96"
],
[
"Line uses unavailable numbers: Step 3: 53 + 43 = 96",
"Line uses unavailable numbers: Step 3: 53 + 43 = 96",
"Line uses unavailable numbers: Step 3: 53 + 43 = 96",
"Line uses unavailable numbe... | [
[
""
],
[
""
],
[
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
]
] | [
"To solve this problem, we need to find a combination of the given numbers [43, 91, 81] using basic arithmetic operations (+, -, *, /) such that the result equals 129. \n\nFirst, let's try adding all three numbers together:\n43 + 91 + 81 = 125\n\nThis doesn't quite get us to 129, so let's subtract something from it... | [
"Step 1: 43 + 81 = 124\nStep 2: 124 + 91 = 215",
"Step 1: 43 + 91 = 134\nStep 2: 134 - 81 = 53\nStep 3: 53 + 43 = 96\nStep 4: 96 + 37 = 133",
"Step 1: 43 + 91 = 134\nStep 2: 134 - 81 = 53\nStep 3: 53 + 43 = 96\nStep 4: 96 + 37 = 133"
] | [
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 43 + 81 = 124\nStep 2: 124 + 91 = 215\nWas Correct: False\nTarget: 129",
"role": "user"
},
{
"content": "To solve this problem, we need to find a combination of the given numbers [43, 91, 81] using basic arithmetic ope... | ||
71 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 229 | {"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\nUsing the numbers [53, 78, 98], create an equation that equals 229. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 1 | [true] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to find a combination of the given numbers [53, 78, 98] using basic arithmetic operations (+, -, *, /) so that the result equals 229.\n\nStep 1: Let's start with addition. We can try adding all three numbers together:\n 53 + 78 + 98 = 229\n\nThis addition wor... | countdown | To solve this problem, we need to find a combination of the given numbers [53, 78, 98] using basic arithmetic operations (+, -, *, /) so that the result equals 229.
Step 1: Let's start with addition. We can try adding all three numbers together:
53 + 78 + 98 = 229
This addition works perfectly, and we have no furt... | 71 | 0 | Step 1: 53 + 78 + 98 = 229 | 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
Using the numbers [53, 78, 98], create an equation that equals 229. You can u... | 0 | true | [
[
"Step 1: 53 + 78 + 98 = 229"
],
[
"Step 1: 53 + 78 + 98 = 229"
],
[
"Step 1: 53 + 78 + 98 = 229"
],
[
"Step 1: 53 + 78 = 131\nStep 2: 131 + 98 = 229"
],
[
"Step 1: 53 + 78 + 98 = 229",
"Step 1: 53 + 78 + 98 = 229"
],
[
"Step 1: 53 + 78 = 131\nStep 2: 131 + 98 = 229"... | [
[
true
],
[
true
],
[
true
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[
true
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[
true,
true
],
[
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
... | [
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[
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[
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[
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"",
"",
"",
"",
"",
"",
"",
"",
"",
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"",
"",
"",
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... | [
[
""
],
[
""
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[
""
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[
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[
"",
""
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[
"",
"",
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... | [
"To solve this problem, we need to find a combination of the given numbers [53, 78, 98] using basic arithmetic operations (+, -, *, /) so that the result equals 229.\n\nStep 1: Let's start with addition. We can try adding all three numbers together:\n 53 + 78 + 98 = 229\n\nThis addition works perfectly, and we ha... | [
"Step 1: 53 + 78 + 98 = 229",
"Step 1: 53 + 78 + 98 = 229",
"Step 1: 53 + 78 + 98 = 229",
"Step 1: 53 + 78 = 131\nStep 2: 131 + 98 = 229",
"Step 1: 53 + 78 + 98 = 229",
"Step 1: 53 + 78 + 98 = 229"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 53 + 78 + 98 = 229\nWas Correct: True\nTarget: 229",
"role": "user"
},
{
"content": "To solve this problem, we need to find a combination of the given numbers [53, 78, 98] using basic arithmetic operations (+, -, *, /)... | |||
72 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 708 | {"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\nUsing the numbers [12, 45, 16], create an equation that equals 708. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 1 | [true] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to combine the given numbers [12, 45, 16] using basic arithmetic operations to get the target number 708. Let's break it down:\n\nStep 1: We start with the largest number, which is 45. \n - Step 1.1: Multiply 45 by 16 (the next largest number)\n Result: 4... | countdown | To solve this problem, we need to combine the given numbers [12, 45, 16] using basic arithmetic operations to get the target number 708. Let's break it down:
Step 1: We start with the largest number, which is 45.
- Step 1.1: Multiply 45 by 16 (the next largest number)
Result: 45 * 16 = 720
Step 2: Now we hav... | 72 | 0 | Step 1: 45 * 16 = 720
Step 2: 720 - 12 = 708 | 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
Using the numbers [12, 45, 16], create an equation that equals 708. You can u... | 0 | true | [
[
"Step 1: 45 * 16 = 720\nStep 2: 720 - 12 = 708"
],
[
"Step 1: 45 * 16 = 720\nStep 2: 720 - 12 = 708"
],
[
""
]
] | [
[
true
],
[
true
],
[
false
]
] | [
[
""
],
[
""
],
[
"No answer"
]
] | [
[
""
],
[
""
],
[
""
]
] | [
"To solve this problem, we need to combine the given numbers [12, 45, 16] using basic arithmetic operations to get the target number 708. Let's break it down:\n\nStep 1: We start with the largest number, which is 45. \n - Step 1.1: Multiply 45 by 16 (the next largest number)\n Result: 45 * 16 = 720\n\nStep 2:... | [
"Step 1: 45 * 16 = 720\nStep 2: 720 - 12 = 708",
"Step 1: 45 * 16 = 720\nStep 2: 720 - 12 = 708",
""
] | [
true,
true,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 45 * 16 = 720\nStep 2: 720 - 12 = 708\nWas Correct: True\nTarget: 708",
"role": "user"
},
{
"content": "To solve this problem, we need to combine the given numbers [12, 45, 16] using basic arithmetic operations to get ... | |||
73 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 358 | {"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\nUsing the numbers [34, 11, 16], create an equation that equals 358. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to use the given numbers [34, 11, 16] and combine them using basic arithmetic operations to get the target number 358. \n\nStep 1: First, let's try combining two of the numbers with addition or subtraction. \nWe can start by adding 34 and 16:\n34 + 16 = 50\n\nS... | countdown | To solve this problem, we need to use the given numbers [34, 11, 16] and combine them using basic arithmetic operations to get the target number 358.
Step 1: First, let's try combining two of the numbers with addition or subtraction.
We can start by adding 34 and 16:
34 + 16 = 50
Step 2: Now we have 50 left from ou... | 73 | 0 | Step 1: 34 + 16 = 50
Step 2: 50 * 11 = 550
Step 3: 550 - 11 = 539
Step 4: 539 + 34 = 573 | 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
Using the numbers [34, 11, 16], create an equation that equals 358. You can u... | 0 | false | Line uses unavailable numbers: Step 3: 550 - 11 = 539 | [
[
"Step 1: 34 + 16 = 50\nStep 2: 50 * 11 = 550\nStep 3: 550 - 11 = 539\nStep 4: 539 + 34 = 573"
],
[
""
]
] | [
[
false
],
[
false
]
] | [
[
"Line uses unavailable numbers: Step 3: 550 - 11 = 539"
],
[
"No answer"
]
] | [
[
""
],
[
""
]
] | [
"To solve this problem, we need to use the given numbers [34, 11, 16] and combine them using basic arithmetic operations to get the target number 358. \n\nStep 1: First, let's try combining two of the numbers with addition or subtraction. \nWe can start by adding 34 and 16:\n34 + 16 = 50\n\nStep 2: Now we have 50 l... | [
"Step 1: 34 + 16 = 50\nStep 2: 50 * 11 = 550\nStep 3: 550 - 11 = 539\nStep 4: 539 + 34 = 573",
""
] | [
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 34 + 16 = 50\nStep 2: 50 * 11 = 550\nStep 3: 550 - 11 = 539\nStep 4: 539 + 34 = 573\nWas Correct: False\nTarget: 358",
"role": "user"
},
{
"content": "To solve this problem, we need to use the given numbers [34, 11, 16... | ||
74 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 476 | {"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\nUsing the numbers [60, 68, 67], create an equation that equals 476. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to use the given numbers [60, 68, 67] with basic arithmetic operations (+, -, *, /) and ensure that each number is used exactly once to get the result of 476.\n\nHere\u2019s how we can approach it:\n\n1. Start with the largest possible value from the set to try... | countdown | To solve this problem, we need to use the given numbers [60, 68, 67] with basic arithmetic operations (+, -, *, /) and ensure that each number is used exactly once to get the result of 476.
Here’s how we can approach it:
1. Start with the largest possible value from the set to try and reach close to 476 quickly.
2. S... | 74 | 0 | 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
Using the numbers [60, 68, 67], create an equation that equals 476. You can u... | 0 | false | No answer | [
[
""
]
] | [
[
false
]
] | [
[
"No answer"
]
] | [
[
""
]
] | [
"To solve this problem, we need to use the given numbers [60, 68, 67] with basic arithmetic operations (+, -, *, /) and ensure that each number is used exactly once to get the result of 476.\n\nHere’s how we can approach it:\n\n1. Start with the largest possible value from the set to try and reach close to 476 quic... | [
""
] | [
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \nWas Correct: False\nTarget: 476",
"role": "user"
},
{
"content": "To solve this problem, we need to use the given numbers [60, 68, 67] with basic arithmetic operations (+, -, *, /) and ensure that each number is used exactly... | |||
75 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 124 | {"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\nUsing the numbers [68, 9, 47], create an equation that equals 124. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be... | 1 | [true] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to use the numbers [68, 9, 47] exactly once and combine them using basic arithmetic operations to get the target number 124.\n\nHere\u2019s how we can break it down:\n\n1. First, let's try adding two of the numbers together:\n - We can add 68 and 47:\n \\... | countdown | To solve this problem, we need to use the numbers [68, 9, 47] exactly once and combine them using basic arithmetic operations to get the target number 124.
Here’s how we can break it down:
1. First, let's try adding two of the numbers together:
- We can add 68 and 47:
\( 68 + 47 = 115 \)
2. Now, we have 9 le... | 75 | 0 | Step 1: 68 + 47 = 115
Step 2: 115 + 9 = 124 | 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
Using the numbers [68, 9, 47], create an equation that equals 124. You can us... | 0 | true | [
[
"Step 1: 68 + 47 = 115\nStep 2: 115 + 9 = 124"
],
[
"Step 1: 68 + 9 = 77\nStep 2: 77 + 47 = 124"
],
[
"Step 1: 68 + 9 = 77\nStep 2: 77 + 47 = 124"
],
[
"Step 1: 68 + 9 = 77\nStep 2: 77 + 47 = 124"
],
[
"Step 1: 68 + 9 = 77\nStep 2: 77 + 47 = 124"
],
[
"Step 1: 68 + 9 = ... | [
[
true
],
[
true
],
[
true
],
[
true
],
[
true
],
[
true
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve this problem, we need to use the numbers [68, 9, 47] exactly once and combine them using basic arithmetic operations to get the target number 124.\n\nHere’s how we can break it down:\n\n1. First, let's try adding two of the numbers together:\n - We can add 68 and 47:\n \\( 68 + 47 = 115 \\)\n\n2. No... | [
"Step 1: 68 + 47 = 115\nStep 2: 115 + 9 = 124",
"Step 1: 68 + 9 = 77\nStep 2: 77 + 47 = 124",
"Step 1: 68 + 9 = 77\nStep 2: 77 + 47 = 124",
"Step 1: 68 + 9 = 77\nStep 2: 77 + 47 = 124",
"Step 1: 68 + 9 = 77\nStep 2: 77 + 47 = 124",
"Step 1: 68 + 9 = 77\nStep 2: 77 + 47 = 124"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 68 + 47 = 115\nStep 2: 115 + 9 = 124\nWas Correct: True\nTarget: 124",
"role": "user"
},
{
"content": "To solve this problem, we need to use the numbers [68, 9, 47] exactly once and combine them using basic arithmetic ... | |||
76 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 627 | {"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\nUsing the numbers [23, 63, 30], create an equation that equals 627. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to use the given numbers [23, 63, 30] and combine them using basic arithmetic operations to get the target number 627. \n\nHere\u2019s how we can break it down:\n\n1. First, let's try combining two of the numbers with addition or subtraction. We'll start by add... | countdown | To solve this problem, we need to use the given numbers [23, 63, 30] and combine them using basic arithmetic operations to get the target number 627.
Here’s how we can break it down:
1. First, let's try combining two of the numbers with addition or subtraction. We'll start by adding 23 and 30:
- Step 1: 23 + 30 =... | 76 | 0 | 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
Using the numbers [23, 63, 30], create an equation that equals 627. You can u... | 0 | false | No answer | [
[
""
]
] | [
[
false
]
] | [
[
"No answer"
]
] | [
[
""
]
] | [
"To solve this problem, we need to use the given numbers [23, 63, 30] and combine them using basic arithmetic operations to get the target number 627. \n\nHere’s how we can break it down:\n\n1. First, let's try combining two of the numbers with addition or subtraction. We'll start by adding 23 and 30:\n - Step 1:... | [
""
] | [
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \nWas Correct: False\nTarget: 627",
"role": "user"
},
{
"content": "To solve this problem, we need to use the given numbers [23, 63, 30] and combine them using basic arithmetic operations to get the target number 627. \n\nHere... | |||
77 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 918 | {"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\nUsing the numbers [51, 54, 3], create an equation that equals 918. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to use the numbers [51, 54, 3] exactly once and combine them using basic arithmetic operations to get the target number 918.\n\nHere\u2019s how we can break it down:\n\n1. First, let's try adding two of the numbers together:\n - Adding 51 and 42 gives us 93.\... | countdown | To solve this problem, we need to use the numbers [51, 54, 3] exactly once and combine them using basic arithmetic operations to get the target number 918.
Here’s how we can break it down:
1. First, let's try adding two of the numbers together:
- Adding 51 and 42 gives us 93.
2. Now, we have 93 left from our orig... | 77 | 0 | Step 1: 54 * 17 = 918 | 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
Using the numbers [51, 54, 3], create an equation that equals 918. You can us... | 0 | false | Line uses unavailable numbers: Step 1: 54 * 17 = 918 | [
[
"Step 1: 54 * 17 = 918"
],
[
"Step 1: 54 * 17 = 918"
],
[
"Step 1: 54 * 17 = 918"
],
[
"Step 1: 54 * 17 = 918"
],
[
"Step 1: 54 * 17 = 918"
],
[
"Step 1: 54 * 17 = 918",
"Step 1: 54 * 17 = 918"
]
] | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false,
false
]
] | [
[
"Line uses unavailable numbers: Step 1: 54 * 17 = 918"
],
[
"Line uses unavailable numbers: Step 1: 54 * 17 = 918"
],
[
"Line uses unavailable numbers: Step 1: 54 * 17 = 918"
],
[
"Line uses unavailable numbers: Step 1: 54 * 17 = 918"
],
[
"Line uses unavailable numbers: Step 1... | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
"",
""
]
] | [
"To solve this problem, we need to use the numbers [51, 54, 3] exactly once and combine them using basic arithmetic operations to get the target number 918.\n\nHere’s how we can break it down:\n\n1. First, let's try adding two of the numbers together:\n - Adding 51 and 42 gives us 93.\n\n2. Now, we have 93 left f... | [
"Step 1: 54 * 17 = 918",
"Step 1: 54 * 17 = 918",
"Step 1: 54 * 17 = 918",
"Step 1: 54 * 17 = 918",
"Step 1: 54 * 17 = 918",
"Step 1: 54 * 17 = 918"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 54 * 17 = 918\nWas Correct: False\nTarget: 918",
"role": "user"
},
{
"content": "To solve this problem, we need to use the numbers [51, 54, 3] exactly once and combine them using basic arithmetic operations to get the ... | ||
78 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 102 | {"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\nUsing the numbers [24, 45, 33], create an equation that equals 102. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 1 | [true] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to find a combination of the given numbers [24, 45, 33] using basic arithmetic operations (+, -, *, /) such that the result equals 102.\n\nStep 1: First, let's try adding all three numbers together.\n24 + 45 + 33 = 102\n\nThis satisfies the condition of using e... | countdown | To solve this problem, we need to find a combination of the given numbers [24, 45, 33] using basic arithmetic operations (+, -, *, /) such that the result equals 102.
Step 1: First, let's try adding all three numbers together.
24 + 45 + 33 = 102
This satisfies the condition of using each number exactly once and resul... | 78 | 0 | Step 1: 24 + 45 + 33 = 102 | 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
Using the numbers [24, 45, 33], create an equation that equals 102. You can u... | 0 | true | [
[
"Step 1: 24 + 45 + 33 = 102"
],
[
""
]
] | [
[
true
],
[
false
]
] | [
[
""
],
[
"No answer"
]
] | [
[
""
],
[
""
]
] | [
"To solve this problem, we need to find a combination of the given numbers [24, 45, 33] using basic arithmetic operations (+, -, *, /) such that the result equals 102.\n\nStep 1: First, let's try adding all three numbers together.\n24 + 45 + 33 = 102\n\nThis satisfies the condition of using each number exactly once... | [
"Step 1: 24 + 45 + 33 = 102",
""
] | [
true,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 24 + 45 + 33 = 102\nWas Correct: True\nTarget: 102",
"role": "user"
},
{
"content": "To solve this problem, we need to find a combination of the given numbers [24, 45, 33] using basic arithmetic operations (+, -, *, /)... | |||
79 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 128 | {"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\nUsing the numbers [24, 8, 8], create an equation that equals 128. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work bef... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem using the numbers [24, 8, 8] and creating an equation that equals 128, we need to find a combination of these numbers with basic arithmetic operations that will result in 128.\n\nFirst, let's consider multiplication since it often helps us reach higher values quickly. W... | countdown | To solve this problem using the numbers [24, 8, 8] and creating an equation that equals 128, we need to find a combination of these numbers with basic arithmetic operations that will result in 128.
First, let's consider multiplication since it often helps us reach higher values quickly. We can start by multiplying two... | 79 | 0 | Step 1: 24 * 8 = 192
Step 2: 192 - 8 = 184
Step 3: 184 - 8 = 176
Step 4: 176 - 8 = 168
Step 5: 168 - 8 = 160
Step 6: 160 - 8 = 152
Step 7: 152 - 8 = 144
Step 8: 144 - 8 = 136
Step 9: 136 - 8 = 128 | 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
Using the numbers [24, 8, 8], create an equation that equals 128. You can use... | 0 | false | Line uses unavailable numbers: Step 3: 184 - 8 = 176 | [
[
"Step 1: 24 * 8 = 192\nStep 2: 192 - 8 = 184\nStep 3: 184 - 8 = 176\nStep 4: 176 - 8 = 168\nStep 5: 168 - 8 = 160\nStep 6: 160 - 8 = 152\nStep 7: 152 - 8 = 144\nStep 8: 144 - 8 = 136\nStep 9: 136 - 8 = 128"
],
[
"Step 1: 24 * 8 = 192\nStep 2: 192 - 8 = 184\nStep 3: 184 - 8 = 176\nStep 4: 176 - 8 = 168... | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false,
false
],
[
false,
false
]
] | [
[
"Line uses unavailable numbers: Step 3: 184 - 8 = 176"
],
[
"Line uses unavailable numbers: Step 3: 184 - 8 = 176"
],
[
"Line uses unavailable numbers: Step 3: 184 - 8 = 176"
],
[
"Line uses unavailable numbers: Step 3: 184 - 8 = 176"
],
[
"Line uses unavailable numbers: Step 3... | [
[
""
],
[
""
],
[
""
],
[
""
],
[
"",
""
],
[
"",
""
]
] | [
"To solve this problem using the numbers [24, 8, 8] and creating an equation that equals 128, we need to find a combination of these numbers with basic arithmetic operations that will result in 128.\n\nFirst, let's consider multiplication since it often helps us reach higher values quickly. We can start by multiply... | [
"Step 1: 24 * 8 = 192\nStep 2: 192 - 8 = 184\nStep 3: 184 - 8 = 176\nStep 4: 176 - 8 = 168\nStep 5: 168 - 8 = 160\nStep 6: 160 - 8 = 152\nStep 7: 152 - 8 = 144\nStep 8: 144 - 8 = 136\nStep 9: 136 - 8 = 128",
"Step 1: 24 * 8 = 192\nStep 2: 192 - 8 = 184\nStep 3: 184 - 8 = 176\nStep 4: 176 - 8 = 168\nStep 5: 168 - ... | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 24 * 8 = 192\nStep 2: 192 - 8 = 184\nStep 3: 184 - 8 = 176\nStep 4: 176 - 8 = 168\nStep 5: 168 - 8 = 160\nStep 6: 160 - 8 = 152\nStep 7: 152 - 8 = 144\nStep 8: 144 - 8 = 136\nStep 9: 136 - 8 = 128\nWas Correct: False\nTarget: 128"... | ||
80 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 711 | {"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\nUsing the numbers [15, 87, 8], create an equation that equals 711. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to use the numbers [15, 87, 8] exactly once and apply basic arithmetic operations to get the target number 711. Let's break it down:\n\nStep 1: We start with the number 87 because it seems like a good candidate to help us reach our target quickly.\n\nStep 2: To... | countdown | To solve this problem, we need to use the numbers [15, 87, 8] exactly once and apply basic arithmetic operations to get the target number 711. Let's break it down:
Step 1: We start with the number 87 because it seems like a good candidate to help us reach our target quickly.
Step 2: To get close to 711 from 87, we ca... | 80 | 0 | Step 1: 87 * 8 = 696
Step 2: 696 + 15 = 711 | 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
Using the numbers [15, 87, 8], create an equation that equals 711. You can us... | 0 | true | [
[
"Step 1: 87 * 8 = 696\nStep 2: 696 + 15 = 711"
],
[
"Step 1: 87 * 8 = 704\nStep 2: 704 - 15 = 689\n\nThis doesn't quite get us to 711, so let's adjust our approach slightly.\n\nInstead, let's consider using division instead of multiplication at some point:\n<answer>\nStep 1: 87 * 8 = 704\nStep 2: 704 ... | [
[
true
],
[
false
],
[
false
]
] | [
[
""
],
[
"Incorrect arithmetic in line: Step 1: 87 * 8 = 704"
],
[
"No answer"
]
] | [
[
""
],
[
""
],
[
""
]
] | [
"To solve this problem, we need to use the numbers [15, 87, 8] exactly once and apply basic arithmetic operations to get the target number 711. Let's break it down:\n\nStep 1: We start with the number 87 because it seems like a good candidate to help us reach our target quickly.\n\nStep 2: To get close to 711 from ... | [
"Step 1: 87 * 8 = 696\nStep 2: 696 + 15 = 711",
"Step 1: 87 * 8 = 704\nStep 2: 704 - 15 = 689\n\nThis doesn't quite get us to 711, so let's adjust our approach slightly.\n\nInstead, let's consider using division instead of multiplication at some point:\n<answer>\nStep 1: 87 * 8 = 704\nStep 2: 704 / 8 = 88\nStep 3... | [
true,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 87 * 8 = 696\nStep 2: 696 + 15 = 711\nWas Correct: True\nTarget: 711",
"role": "user"
},
{
"content": "To solve this problem, we need to use the numbers [15, 87, 8] exactly once and apply basic arithmetic operations to... | |||
81 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 790 | {"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\nUsing the numbers [79, 22, 32], create an equation that equals 790. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to combine the given numbers [79, 22, 32] using basic arithmetic operations to get the target number 790. Let's break it down:\n\nStep 1: First, let's try multiplying two of the numbers together. We'll start with 79 * 22.\n79 * 22 = 1718\n\nStep 2: Now, we have... | countdown | To solve this problem, we need to combine the given numbers [79, 22, 32] using basic arithmetic operations to get the target number 790. Let's break it down:
Step 1: First, let's try multiplying two of the numbers together. We'll start with 79 * 22.
79 * 22 = 1718
Step 2: Now, we have 1718 remaining to reach our targ... | 81 | 0 | Step 1: 79 * 22 = 1718
Step 2: 1718 - 32 = 1686
Step 3: 1686 + 79 = 790 | 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
Using the numbers [79, 22, 32], create an equation that equals 790. You can u... | 0 | false | Incorrect arithmetic in line: Step 1: 79 * 22 = 1718 | [
[
"Step 1: 79 * 22 = 1718\nStep 2: 1718 - 32 = 1686\nStep 3: 1686 + 79 = 790"
],
[
"Step 1: 79 * 22 = 1698\nStep 2: 1698 / 22 = 79\nStep 3: 79 + 32 = 111"
],
[
"Step 1: 79 * 22 = 1698\nStep 2: 1698 / 32 = 52.4375"
],
[
"Step 1: 79 * 22 = 1698\nStep 2: 1698 / 22 = 79\nStep 3: 79 + 32 = 11... | [
[
false
],
[
false
],
[
false
],
[
false,
false
],
[
false
],
[
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
... | [
[
"Incorrect arithmetic in line: Step 1: 79 * 22 = 1718"
],
[
"Incorrect arithmetic in line: Step 1: 79 * 22 = 1698"
],
[
"Incorrect arithmetic in line: Step 1: 79 * 22 = 1698"
],
[
"Incorrect arithmetic in line: Step 1: 79 * 22 = 1698",
"Incorrect arithmetic in line: Step 1: 79 * 22... | [
[
""
],
[
""
],
[
""
],
[
"",
""
],
[
""
],
[
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
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]
] | [
"To solve this problem, we need to combine the given numbers [79, 22, 32] using basic arithmetic operations to get the target number 790. Let's break it down:\n\nStep 1: First, let's try multiplying two of the numbers together. We'll start with 79 * 22.\n79 * 22 = 1718\n\nStep 2: Now, we have 1718 remaining to reac... | [
"Step 1: 79 * 22 = 1718\nStep 2: 1718 - 32 = 1686\nStep 3: 1686 + 79 = 790",
"Step 1: 79 * 22 = 1698\nStep 2: 1698 / 22 = 79\nStep 3: 79 + 32 = 111",
"Step 1: 79 * 22 = 1698\nStep 2: 1698 / 32 = 52.4375",
"Step 1: 79 * 22 = 1698\nStep 2: 1698 / 32 = 52.4375",
"Step 1: 79 * 22 = 1698\nStep 2: 1698 - 32 = 166... | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 79 * 22 = 1718\nStep 2: 1718 - 32 = 1686\nStep 3: 1686 + 79 = 790\nWas Correct: False\nTarget: 790",
"role": "user"
},
{
"content": "To solve this problem, we need to combine the given numbers [79, 22, 32] using basic ... | ||
82 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 174 | {"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\nUsing the numbers [56, 60, 58], create an equation that equals 174. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 1 | [true] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to find a combination of the given numbers [56, 60, 58] using basic arithmetic operations (+, -, *, /) that equals 174.\n\nStep 1: First, let's try adding some of these numbers together to see if we can get close to 174.\n\n56 + 60 = 116\n\nThis is too low, so ... | countdown | To solve this problem, we need to find a combination of the given numbers [56, 60, 58] using basic arithmetic operations (+, -, *, /) that equals 174.
Step 1: First, let's try adding some of these numbers together to see if we can get close to 174.
56 + 60 = 116
This is too low, so we need to increase our sum. Let's... | 82 | 0 | Step 1: 56 + 60 = 116
Step 2: 116 + 58 = 174 | 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
Using the numbers [56, 60, 58], create an equation that equals 174. You can u... | 0 | true | [
[
"Step 1: 56 + 60 = 116\nStep 2: 116 + 58 = 174"
],
[
"Step 1: 56 + 60 + 58 = 174"
],
[
"Step 1: 56 + 60 = 116\nStep 2: 116 + 58 = 174"
],
[
"Step 1: 56 + 60 + 58 = 174"
],
[
"Step 1: 56 + 60 + 58 = 174"
],
[
"Step 1: 56 + 60 + 58 = 174",
"Step 1: 56 + 60 + 58 = 174"... | [
[
true
],
[
true
],
[
true
],
[
true
],
[
true
],
[
true,
true
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
"",
""
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
"",
""
]
] | [
"To solve this problem, we need to find a combination of the given numbers [56, 60, 58] using basic arithmetic operations (+, -, *, /) that equals 174.\n\nStep 1: First, let's try adding some of these numbers together to see if we can get close to 174.\n\n56 + 60 = 116\n\nThis is too low, so we need to increase our... | [
"Step 1: 56 + 60 = 116\nStep 2: 116 + 58 = 174",
"Step 1: 56 + 60 + 58 = 174",
"Step 1: 56 + 60 = 116\nStep 2: 116 + 58 = 174",
"Step 1: 56 + 60 + 58 = 174",
"Step 1: 56 + 60 + 58 = 174",
"Step 1: 56 + 60 + 58 = 174"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 56 + 60 = 116\nStep 2: 116 + 58 = 174\nWas Correct: True\nTarget: 174",
"role": "user"
},
{
"content": "To solve this problem, we need to find a combination of the given numbers [56, 60, 58] using basic arithmetic oper... | |||
83 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 188 | {"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\nUsing the numbers [100, 94, 6], create an equation that equals 188. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to use the given numbers [100, 94, 6] exactly once and combine them using basic arithmetic operations to get the target number 188.\n\nHere\u2019s how we can break it down:\n\n1. First, let's try adding some combinations of these numbers together to see if we c... | countdown | To solve this problem, we need to use the given numbers [100, 94, 6] exactly once and combine them using basic arithmetic operations to get the target number 188.
Here’s how we can break it down:
1. First, let's try adding some combinations of these numbers together to see if we can reach close to 188.
- We know t... | 83 | 0 | Step 1: 100 + 94 = 194
Step 2: 194 - 6 = 188 | 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
Using the numbers [100, 94, 6], create an equation that equals 188. You can u... | 0 | true | [
[
"Step 1: 100 + 94 = 194\nStep 2: 194 - 6 = 188"
],
[
"Step 1: 100 - 94 = 6\nStep 2: 6 + 94 = 100\nStep 3: 100 + 94 = 194\nStep 4: 194 - 6 = 188"
],
[
"Step 1: 100 - 94 = 6\nStep 2: 6 + 94 = 100\nStep 3: 100 + 94 = 194\nStep 4: 194 - 6 = 188"
],
[
"Step 1: 100 - 94 = 6\nStep 2: 6 + 94 =... | [
[
true
],
[
false
],
[
false
],
[
false,
false
],
[
false,
false
],
[
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
... | [
[
""
],
[
"Line uses unavailable numbers: Step 2: 6 + 94 = 100"
],
[
"Line uses unavailable numbers: Step 2: 6 + 94 = 100"
],
[
"Line uses unavailable numbers: Step 2: 6 + 94 = 100",
"Line uses unavailable numbers: Step 2: 6 + 94 = 100"
],
[
"Line uses unavailable numbers: St... | [
[
""
],
[
""
],
[
""
],
[
"",
""
],
[
"",
""
],
[
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
... | [
"To solve this problem, we need to use the given numbers [100, 94, 6] exactly once and combine them using basic arithmetic operations to get the target number 188.\n\nHere’s how we can break it down:\n\n1. First, let's try adding some combinations of these numbers together to see if we can reach close to 188.\n -... | [
"Step 1: 100 + 94 = 194\nStep 2: 194 - 6 = 188",
"Step 1: 100 - 94 = 6\nStep 2: 6 + 94 = 100\nStep 3: 100 + 94 = 194\nStep 4: 194 - 6 = 188",
"Step 1: 100 - 94 = 6\nStep 2: 6 + 94 = 100\nStep 3: 100 + 94 = 194\nStep 4: 194 - 6 = 188",
"Step 1: 100 - 94 = 6\nStep 2: 6 + 94 = 100\nStep 3: 100 + 94 = 194\nStep 4... | [
true,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 100 + 94 = 194\nStep 2: 194 - 6 = 188\nWas Correct: True\nTarget: 188",
"role": "user"
},
{
"content": "To solve this problem, we need to use the given numbers [100, 94, 6] exactly once and combine them using basic ari... | |||
84 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 107 | {"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\nUsing the numbers [49, 88, 68], create an equation that equals 107. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to find a combination of the given numbers [49, 88, 68] using basic arithmetic operations (+, -, *, /) such that the result equals 107. \n\nFirst, let's try adding all three numbers together:\n49 + 88 + 68 = 195\n\nThis doesn't give us 107, so let's subtract on... | countdown | To solve this problem, we need to find a combination of the given numbers [49, 88, 68] using basic arithmetic operations (+, -, *, /) such that the result equals 107.
First, let's try adding all three numbers together:
49 + 88 + 68 = 195
This doesn't give us 107, so let's subtract one of the numbers from another com... | 84 | 0 | Step 1: 88 - 49 = 39
Step 2: 39 + 68 = 107 | 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
Using the numbers [49, 88, 68], create an equation that equals 107. You can u... | 0 | true | [
[
"Step 1: 88 - 49 = 39\nStep 2: 39 + 68 = 107"
],
[
"Step 1: 195 - 88 = 107"
],
[
"Step 1: 49 + 88 = 137\nStep 2: 137 - 68 = 69"
],
[
"Step 1: 195 - 88 = 107"
],
[
"Step 1: 195 - 88 = 107"
]
] | [
[
true
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
""
],
[
"Line uses unavailable numbers: Step 1: 195 - 88 = 107"
],
[
"Incorrect final answer"
],
[
"Line uses unavailable numbers: Step 1: 195 - 88 = 107"
],
[
"Line uses unavailable numbers: Step 1: 195 - 88 = 107"
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve this problem, we need to find a combination of the given numbers [49, 88, 68] using basic arithmetic operations (+, -, *, /) such that the result equals 107. \n\nFirst, let's try adding all three numbers together:\n49 + 88 + 68 = 195\n\nThis doesn't give us 107, so let's subtract one of the numbers from a... | [
"Step 1: 88 - 49 = 39\nStep 2: 39 + 68 = 107",
"Step 1: 195 - 88 = 107",
"Step 1: 49 + 88 = 137\nStep 2: 137 - 68 = 69",
"Step 1: 195 - 88 = 107",
"Step 1: 195 - 88 = 107"
] | [
true,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 88 - 49 = 39\nStep 2: 39 + 68 = 107\nWas Correct: True\nTarget: 107",
"role": "user"
},
{
"content": "To solve this problem, we need to find a combination of the given numbers [49, 88, 68] using basic arithmetic operat... | |||
85 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 905 | {"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\nUsing the numbers [24, 31, 39], create an equation that equals 905. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to find a combination of the given numbers [24, 31, 39] using basic arithmetic operations (addition, subtraction, multiplication, division) that results in the target number 905.\n\nHere's one possible solution:\n\nStep 1: Start with multiplying 39 and 31\n 3... | countdown | To solve this problem, we need to find a combination of the given numbers [24, 31, 39] using basic arithmetic operations (addition, subtraction, multiplication, division) that results in the target number 905.
Here's one possible solution:
Step 1: Start with multiplying 39 and 31
39 * 31 = 1169
Step 2: Add 24 to ... | 85 | 0 | Step 1: 39 * 31 = 1169
Step 2: 1169 - 24 = 1145
Step 3: 1145 - 37 = 1108
Step 4: 1108 - 31 = 1077 | 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
Using the numbers [24, 31, 39], create an equation that equals 905. You can u... | 0 | false | Incorrect arithmetic in line: Step 1: 39 * 31 = 1169 | [
[
"Step 1: 39 * 31 = 1169\nStep 2: 1169 - 24 = 1145\nStep 3: 1145 - 37 = 1108\nStep 4: 1108 - 31 = 1077"
],
[
""
],
[
""
],
[
""
],
[
"Step 1: 39 * 31 = 1169\nStep 2: 1169 - 24 = 1145\nStep 3: 1145 - 37 = 1108\nStep 4: 1108 - 31 = 1077\nStep 5: 1077 + 57 = 1134"
],
[
"Ste... | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"Incorrect arithmetic in line: Step 1: 39 * 31 = 1169"
],
[
"No answer"
],
[
"No answer"
],
[
"No answer"
],
[
"Incorrect arithmetic in line: Step 1: 39 * 31 = 1169"
],
[
"Incorrect arithmetic in line: Step 1: 39 * 31 = 1169"
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve this problem, we need to find a combination of the given numbers [24, 31, 39] using basic arithmetic operations (addition, subtraction, multiplication, division) that results in the target number 905.\n\nHere's one possible solution:\n\nStep 1: Start with multiplying 39 and 31\n 39 * 31 = 1169\n\nStep 2... | [
"Step 1: 39 * 31 = 1169\nStep 2: 1169 - 24 = 1145\nStep 3: 1145 - 37 = 1108\nStep 4: 1108 - 31 = 1077",
"",
"",
"",
"Step 1: 39 * 31 = 1169\nStep 2: 1169 - 24 = 1145\nStep 3: 1145 - 37 = 1108\nStep 4: 1108 - 31 = 1077\nStep 5: 1077 + 57 = 1134",
"Step 1: 39 * 31 = 1169\nStep 2: 1169 - 24 = 1145\nStep 3: 1... | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 39 * 31 = 1169\nStep 2: 1169 - 24 = 1145\nStep 3: 1145 - 37 = 1108\nStep 4: 1108 - 31 = 1077\nWas Correct: False\nTarget: 905",
"role": "user"
},
{
"content": "To solve this problem, we need to find a combination of th... | ||
86 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 101 | {"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\nUsing the numbers [72, 12, 17], create an equation that equals 101. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 1 | [true] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem using the numbers [72, 12, 17] and basic arithmetic operations, we need to find a combination that equals 101. Let's break it down:\n\n1. First, let's try adding all three numbers together:\n 72 + 12 + 17 = 101\n\nThis equation uses all three given numbers exactly onc... | countdown | To solve this problem using the numbers [72, 12, 17] and basic arithmetic operations, we need to find a combination that equals 101. Let's break it down:
1. First, let's try adding all three numbers together:
72 + 12 + 17 = 101
This equation uses all three given numbers exactly once and results in the target numbe... | 86 | 0 | Step 1: 72 + 12 + 17 = 101 | 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
Using the numbers [72, 12, 17], create an equation that equals 101. You can u... | 0 | true | [
[
"Step 1: 72 + 12 + 17 = 101"
],
[
""
],
[
"Step 1: 72 + 12 = 84\nStep 2: 84 + 17 = 101"
],
[
"Step 1: 72 + 12 = 84\nStep 2: 84 + 17 = 101"
],
[
"Step 1: 72 + 12 = 84\nStep 2: 84 + 17 = 101"
],
[
""
]
] | [
[
true
],
[
false
],
[
true
],
[
true
],
[
true
],
[
false
]
] | [
[
""
],
[
"No answer"
],
[
""
],
[
""
],
[
""
],
[
"No answer"
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve this problem using the numbers [72, 12, 17] and basic arithmetic operations, we need to find a combination that equals 101. Let's break it down:\n\n1. First, let's try adding all three numbers together:\n 72 + 12 + 17 = 101\n\nThis equation uses all three given numbers exactly once and results in the ta... | [
"Step 1: 72 + 12 + 17 = 101",
"",
"Step 1: 72 + 12 = 84\nStep 2: 84 + 17 = 101",
"Step 1: 72 + 12 = 84\nStep 2: 84 + 17 = 101",
"Step 1: 72 + 12 = 84\nStep 2: 84 + 17 = 101",
""
] | [
true,
false,
true,
true,
true,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 72 + 12 + 17 = 101\nWas Correct: True\nTarget: 101",
"role": "user"
},
{
"content": "To solve this problem using the numbers [72, 12, 17] and basic arithmetic operations, we need to find a combination that equals 101. ... | |||
87 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 170 | {"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\nUsing the numbers [77, 65, 28], create an equation that equals 170. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to find a combination of the given numbers [77, 65, 28] using basic arithmetic operations (+, -, *, /) that equals 170.\n\nStep 1: First, let's try adding all three numbers together.\n77 + 65 + 28 = 170\n\nThis satisfies the condition of using each number exact... | countdown | To solve this problem, we need to find a combination of the given numbers [77, 65, 28] using basic arithmetic operations (+, -, *, /) that equals 170.
Step 1: First, let's try adding all three numbers together.
77 + 65 + 28 = 170
This satisfies the condition of using each number exactly once and resulting in the targ... | 87 | 0 | Step 1: 77 + 65 + 28 = 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
Using the numbers [77, 65, 28], create an equation that equals 170. You can u... | 0 | true | [
[
"Step 1: 77 + 65 + 28 = 170"
],
[
""
],
[
"Step 1: 77 + 65 = 142\nStep 2: 142 + 28 = 170"
],
[
"Step 1: 77 - 65 = 12\nStep 2: 12 + 28 = 40",
"Step 1: 77 - 65 = 12\nStep 2: 12 * 28 = 336",
"Step 1: 77 - 65 = 12\nStep 2: 12 + 28 = 40",
"Step 1: 77 - 65 = 12\nStep 2: 12 * 28 =... | [
[
true
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[
false
],
[
true
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[
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false,
false,
false,
false,
false,
false,
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false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
fa... | [
[
""
],
[
"No answer"
],
[
""
],
[
"Incorrect final answer",
"Incorrect final answer",
"Incorrect final answer",
"Incorrect final answer",
"Incorrect final answer",
"Incorrect final answer",
"Incorrect final answer",
"Incorrect final answer",
"Incorrect fi... | [
[
""
],
[
""
],
[
""
],
[
"",
"",
"",
"",
"",
"",
"",
"",
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"",
"",
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"",
"",
"",
"",
"",
"",
"",
"",
"",
... | [
"To solve this problem, we need to find a combination of the given numbers [77, 65, 28] using basic arithmetic operations (+, -, *, /) that equals 170.\n\nStep 1: First, let's try adding all three numbers together.\n77 + 65 + 28 = 170\n\nThis satisfies the condition of using each number exactly once and resulting i... | [
"Step 1: 77 + 65 + 28 = 170",
"",
"Step 1: 77 + 65 = 142\nStep 2: 142 + 28 = 170",
"Step 1: 77 - 65 = 12\nStep 2: 12 + 28 = 40"
] | [
true,
false,
true,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 77 + 65 + 28 = 170\nWas Correct: True\nTarget: 170",
"role": "user"
},
{
"content": "To solve this problem, we need to find a combination of the given numbers [77, 65, 28] using basic arithmetic operations (+, -, *, /)... | |||
88 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 216 | {"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\nUsing the numbers [48, 80, 88], create an equation that equals 216. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 1 | [true] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to find a combination of the given numbers [48, 80, 88] using basic arithmetic operations that results in the target number 216. \n\nFirst, let's try some combinations:\n\nStep 1: Let's start with multiplication and addition/subtraction operations.\nMultiplying... | countdown | To solve this problem, we need to find a combination of the given numbers [48, 80, 88] using basic arithmetic operations that results in the target number 216.
First, let's try some combinations:
Step 1: Let's start with multiplication and addition/subtraction operations.
Multiplying two numbers doesn't seem to get ... | 88 | 0 | Step 1: 48 + 80 + 88 = 216 | 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
Using the numbers [48, 80, 88], create an equation that equals 216. You can u... | 0 | true | [
[
"Step 1: 48 + 80 + 88 = 216"
],
[
"Step 1: 48 + 80 + 88 = 216"
],
[
"Step 1: 48 + 80 + 88 = 216"
],
[
"Step 1: 48 + 80 + 88 = 216"
],
[
"Step 1: 48 + 80 + 88 = 216"
],
[
"Step 1: 48 + 80 + 88 = 216"
]
] | [
[
true
],
[
true
],
[
true
],
[
true
],
[
true
],
[
true
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve this problem, we need to find a combination of the given numbers [48, 80, 88] using basic arithmetic operations that results in the target number 216. \n\nFirst, let's try some combinations:\n\nStep 1: Let's start with multiplication and addition/subtraction operations.\nMultiplying two numbers doesn't se... | [
"Step 1: 48 + 80 + 88 = 216",
"Step 1: 48 + 80 + 88 = 216",
"Step 1: 48 + 80 + 88 = 216",
"Step 1: 48 + 80 + 88 = 216",
"Step 1: 48 + 80 + 88 = 216",
"Step 1: 48 + 80 + 88 = 216"
] | [
true,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 48 + 80 + 88 = 216\nWas Correct: True\nTarget: 216",
"role": "user"
},
{
"content": "To solve this problem, we need to find a combination of the given numbers [48, 80, 88] using basic arithmetic operations that results... | |||
89 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 819 | {"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\nUsing the numbers [38, 21, 1], create an equation that equals 819. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem using the numbers [38, 21, 1] and creating an equation that equals 819, we need to find a combination of these numbers with basic arithmetic operations (+, -, *, /) that will give us the desired result.\n\nHere\u2019s how I would approach it:\n\n1. Start by considering ... | countdown | To solve this problem using the numbers [38, 21, 1] and creating an equation that equals 819, we need to find a combination of these numbers with basic arithmetic operations (+, -, *, /) that will give us the desired result.
Here’s how I would approach it:
1. Start by considering different combinations of multiplicat... | 89 | 0 | Step 1: 38 * 21 = 798
Step 2: 798 + 21 = 819 | 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
Using the numbers [38, 21, 1], create an equation that equals 819. You can us... | 0 | false | Line uses unavailable numbers: Step 2: 798 + 21 = 819 | [
[
"Step 1: 38 * 21 = 798\nStep 2: 798 + 21 = 819"
],
[
"Step 1: 38 * 21 = 798\nStep 2: 798 + 21 = 819",
"Step 1: 38 * 21 = 798\nStep 2: 798 + 11 = 809\nStep 3: 809 - 11 = 819"
],
[
"Step 1: 38 * 21 = 798\nStep 2: 798 + 21 = 819"
],
[
"Step 1: 38 * 21 = 798\nStep 2: 798 + 21 = 819",
... | [
[
false
],
[
false,
false
],
[
false
],
[
false,
false
],
[
false
],
[
false,
false
]
] | [
[
"Line uses unavailable numbers: Step 2: 798 + 21 = 819"
],
[
"Line uses unavailable numbers: Step 2: 798 + 21 = 819",
"Line uses unavailable numbers: Step 2: 798 + 11 = 809"
],
[
"Line uses unavailable numbers: Step 2: 798 + 21 = 819"
],
[
"Line uses unavailable numbers: Step 2: 79... | [
[
""
],
[
"",
""
],
[
""
],
[
"",
""
],
[
""
],
[
"",
""
]
] | [
"To solve this problem using the numbers [38, 21, 1] and creating an equation that equals 819, we need to find a combination of these numbers with basic arithmetic operations (+, -, *, /) that will give us the desired result.\n\nHere’s how I would approach it:\n\n1. Start by considering different combinations of mu... | [
"Step 1: 38 * 21 = 798\nStep 2: 798 + 21 = 819",
"Step 1: 38 * 21 = 798\nStep 2: 798 + 11 = 809\nStep 3: 809 - 11 = 819",
"Step 1: 38 * 21 = 798\nStep 2: 798 + 21 = 819",
"Step 1: 38 * 21 = 798\nStep 2: 798 + 11 = 809\nStep 3: 809 - 11 = 819",
"Step 1: 38 * 21 = 798\nStep 2: 798 + 21 = 819",
"Step 1: 38 *... | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 38 * 21 = 798\nStep 2: 798 + 21 = 819\nWas Correct: False\nTarget: 819",
"role": "user"
},
{
"content": "To solve this problem using the numbers [38, 21, 1] and creating an equation that equals 819, we need to find a c... | ||
90 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 112 | {"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\nUsing the numbers [77, 92, 97], create an equation that equals 112. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to find a combination of the given numbers [77, 92, 97] using basic arithmetic operations (+, -, *, /) such that the result equals 112. \n\nStep 1: First, let's try adding all three numbers together.\n77 + 92 + 97 = 266\n\nThis doesn't give us 112, so we'll nee... | countdown | To solve this problem, we need to find a combination of the given numbers [77, 92, 97] using basic arithmetic operations (+, -, *, /) such that the result equals 112.
Step 1: First, let's try adding all three numbers together.
77 + 92 + 97 = 266
This doesn't give us 112, so we'll need to subtract one of these number... | 90 | 0 | Step 1: 77 + 92 = 169
Step 2: 169 - 97 = 72
Step 3: 72 * 92 = 6544
Step 4: 6544 - 5725 = 8219 | 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
Using the numbers [77, 92, 97], create an equation that equals 112. You can u... | 0 | false | Incorrect arithmetic in line: Step 3: 72 * 92 = 6544 | [
[
"Step 1: 77 + 92 = 169\nStep 2: 169 - 97 = 72\nStep 3: 72 * 92 = 6544\nStep 4: 6544 - 5725 = 8219"
],
[
""
],
[
""
]
] | [
[
false
],
[
false
],
[
false
]
] | [
[
"Incorrect arithmetic in line: Step 3: 72 * 92 = 6544"
],
[
"No answer"
],
[
"No answer"
]
] | [
[
""
],
[
""
],
[
""
]
] | [
"To solve this problem, we need to find a combination of the given numbers [77, 92, 97] using basic arithmetic operations (+, -, *, /) such that the result equals 112. \n\nStep 1: First, let's try adding all three numbers together.\n77 + 92 + 97 = 266\n\nThis doesn't give us 112, so we'll need to subtract one of th... | [
"Step 1: 77 + 92 = 169\nStep 2: 169 - 97 = 72\nStep 3: 72 * 92 = 6544\nStep 4: 6544 - 5725 = 8219",
"",
""
] | [
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 77 + 92 = 169\nStep 2: 169 - 97 = 72\nStep 3: 72 * 92 = 6544\nStep 4: 6544 - 5725 = 8219\nWas Correct: False\nTarget: 112",
"role": "user"
},
{
"content": "To solve this problem, we need to find a combination of the gi... | ||
91 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 175 | {"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\nUsing the numbers [100, 21, 54], create an equation that equals 175. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work ... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to use the numbers [100, 21, 54] exactly once and combine them using basic arithmetic operations to get the target number 175.\n\nHere\u2019s how we can break it down:\n\n1. First, let's try adding some combination of these numbers together to see if we can rea... | countdown | To solve this problem, we need to use the numbers [100, 21, 54] exactly once and combine them using basic arithmetic operations to get the target number 175.
Here’s how we can break it down:
1. First, let's try adding some combination of these numbers together to see if we can reach close to 175.
- Adding all thre... | 91 | 0 | Step 1: 100 + 21 + 54 = 175 | 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
Using the numbers [100, 21, 54], create an equation that equals 175. You can ... | 0 | true | [
[
"Step 1: 100 + 21 + 54 = 175"
],
[
"Step 1: 100 - 21 = 79\nStep 2: 79 - 54 = 25"
],
[
""
]
] | [
[
true
],
[
false
],
[
false
]
] | [
[
""
],
[
"Incorrect final answer"
],
[
"No answer"
]
] | [
[
""
],
[
""
],
[
""
]
] | [
"To solve this problem, we need to use the numbers [100, 21, 54] exactly once and combine them using basic arithmetic operations to get the target number 175.\n\nHere’s how we can break it down:\n\n1. First, let's try adding some combination of these numbers together to see if we can reach close to 175.\n - Addin... | [
"Step 1: 100 + 21 + 54 = 175",
"Step 1: 100 - 21 = 79\nStep 2: 79 - 54 = 25",
""
] | [
true,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 100 + 21 + 54 = 175\nWas Correct: True\nTarget: 175",
"role": "user"
},
{
"content": "To solve this problem, we need to use the numbers [100, 21, 54] exactly once and combine them using basic arithmetic operations to g... | |||
92 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 309 | {"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\nUsing the numbers [100, 9, 3], create an equation that equals 309. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem using the numbers [100, 9, 3] and creating an equation that equals 309, we need to find a combination of these numbers with basic arithmetic operations that will yield the desired result. \n\nHere\u2019s how I would approach it:\n\n1. Start by considering different comb... | countdown | To solve this problem using the numbers [100, 9, 3] and creating an equation that equals 309, we need to find a combination of these numbers with basic arithmetic operations that will yield the desired result.
Here’s how I would approach it:
1. Start by considering different combinations of addition, subtraction, mu... | 92 | 0 | 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
Using the numbers [100, 9, 3], create an equation that equals 309. You can us... | 0 | false | No answer | [
[
""
]
] | [
[
false
]
] | [
[
"No answer"
]
] | [
[
""
]
] | [
"To solve this problem using the numbers [100, 9, 3] and creating an equation that equals 309, we need to find a combination of these numbers with basic arithmetic operations that will yield the desired result. \n\nHere’s how I would approach it:\n\n1. Start by considering different combinations of addition, subtra... | [
""
] | [
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \nWas Correct: False\nTarget: 309",
"role": "user"
},
{
"content": "To solve this problem using the numbers [100, 9, 3] and creating an equation that equals 309, we need to find a combination of these numbers with basic arithm... | |||
93 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 102 | {"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\nUsing the numbers [76, 21, 47], create an equation that equals 102. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to find a combination of the given numbers [76, 21, 47] using basic arithmetic operations (+, -, *, /) such that the result equals 102.\n\nStep 1: First, let's try adding all three numbers together.\n76 + 21 + 47 = 149\n\nThis doesn't equal 102, so we'll need t... | countdown | To solve this problem, we need to find a combination of the given numbers [76, 21, 47] using basic arithmetic operations (+, -, *, /) such that the result equals 102.
Step 1: First, let's try adding all three numbers together.
76 + 21 + 47 = 149
This doesn't equal 102, so we'll need to subtract something from this su... | 93 | 0 | Step 1: 76 + 21 = 97
Step 2: 97 - 47 = 50
Step 3: 50 + 5 = 55 | 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
Using the numbers [76, 21, 47], create an equation that equals 102. You can u... | 0 | false | Line uses unavailable numbers: Step 3: 50 + 5 = 55 | [
[
"Step 1: 76 + 21 = 97\nStep 2: 97 - 47 = 50\nStep 3: 50 + 5 = 55"
],
[
"Step 1: 76 + 21 = 97\nStep 2: 97 + 5 = 102"
],
[
"Step 1: 76 + 21 = 97\nStep 2: 97 + 5 = 102"
],
[
"Step 1: 76 + 21 = 97\nStep 2: 97 + 5 = 102",
"Step 1: 76 + 21 = 97\nStep 2: 97 - 47 = 50\nStep 3: 50 + 5 = 55"... | [
[
false
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[
false
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[
false
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[
false,
false
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[
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
fal... | [
[
"Line uses unavailable numbers: Step 3: 50 + 5 = 55"
],
[
"Line uses unavailable numbers: Step 2: 97 + 5 = 102"
],
[
"Line uses unavailable numbers: Step 2: 97 + 5 = 102"
],
[
"Line uses unavailable numbers: Step 2: 97 + 5 = 102",
"Line uses unavailable numbers: Step 3: 50 + 5 = 55... | [
[
""
],
[
""
],
[
""
],
[
"",
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[
"",
"",
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"",
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"",
"",
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"",
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"",
"",
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]... | [
"To solve this problem, we need to find a combination of the given numbers [76, 21, 47] using basic arithmetic operations (+, -, *, /) such that the result equals 102.\n\nStep 1: First, let's try adding all three numbers together.\n76 + 21 + 47 = 149\n\nThis doesn't equal 102, so we'll need to subtract something fr... | [
"Step 1: 76 + 21 = 97\nStep 2: 97 - 47 = 50\nStep 3: 50 + 5 = 55",
"Step 1: 76 + 21 = 97\nStep 2: 97 + 5 = 102",
"Step 1: 76 + 21 = 97\nStep 2: 97 + 5 = 102",
"Step 1: 76 + 21 = 97\nStep 2: 97 - 47 = 50\nStep 3: 50 + 5 = 55",
"Step 1: 76 + 21 = 97\nStep 2: 97 - 47 = 50\nStep 3: 50 + 5 = 55"
] | [
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 76 + 21 = 97\nStep 2: 97 - 47 = 50\nStep 3: 50 + 5 = 55\nWas Correct: False\nTarget: 102",
"role": "user"
},
{
"content": "To solve this problem, we need to find a combination of the given numbers [76, 21, 47] using ba... | ||
94 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 968 | {"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\nUsing the numbers [67, 23, 22], create an equation that equals 968. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to use the numbers [67, 23, 22] exactly once and apply basic arithmetic operations (+, -, *, /) to get the target number 968.\n\nHere\u2019s how we can approach it:\n\n1. Start with one of the numbers and see if we can reach 968 easily.\n2. If not, try combinin... | countdown | To solve this problem, we need to use the numbers [67, 23, 22] exactly once and apply basic arithmetic operations (+, -, *, /) to get the target number 968.
Here’s how we can approach it:
1. Start with one of the numbers and see if we can reach 968 easily.
2. If not, try combining different combinations of the remain... | 94 | 0 | Step 1: 67 + 23 = 90
Step 2: 90 * 8 = 720
Step 3: 720 + 72 = 792
Step 4: 792 + 896 = 1698 | 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
Using the numbers [67, 23, 22], create an equation that equals 968. You can u... | 0 | false | Line uses unavailable numbers: Step 2: 90 * 8 = 720 | [
[
"Step 1: 67 + 23 = 90\nStep 2: 90 * 8 = 720\nStep 3: 720 + 72 = 792\nStep 4: 792 + 896 = 1698"
],
[
"Step 1: 67 + 23 = 90\nStep 2: 90 - 22 = 68\nStep 3: 68 + 23 = 91\nStep 4: 91 * 8 = 728\nStep 5: 728 + 23 = 751\nStep 6: 751 + 896 = 1647"
],
[
"Step 1: 67 + 23 = 90\nStep 2: 90 - 22 = 68\nStep ... | [
[
false
],
[
false
],
[
false,
false,
false,
false,
false,
false,
false,
false,
false
],
[
false,
false,
false
]
] | [
[
"Line uses unavailable numbers: Step 2: 90 * 8 = 720"
],
[
"Line uses unavailable numbers: Step 3: 68 + 23 = 91"
],
[
"Line uses unavailable numbers: Step 3: 68 + 23 = 91",
"Line uses unavailable numbers: Step 3: 68 + 23 = 91",
"Line uses unavailable numbers: Step 3: 68 + 23 = 91",
... | [
[
""
],
[
""
],
[
"",
"",
"",
"",
"",
"",
"",
"",
""
],
[
"",
"",
""
]
] | [
"To solve this problem, we need to use the numbers [67, 23, 22] exactly once and apply basic arithmetic operations (+, -, *, /) to get the target number 968.\n\nHere’s how we can approach it:\n\n1. Start with one of the numbers and see if we can reach 968 easily.\n2. If not, try combining different combinations of ... | [
"Step 1: 67 + 23 = 90\nStep 2: 90 * 8 = 720\nStep 3: 720 + 72 = 792\nStep 4: 792 + 896 = 1698",
"Step 1: 67 + 23 = 90\nStep 2: 90 - 22 = 68\nStep 3: 68 + 23 = 91\nStep 4: 91 * 8 = 728\nStep 5: 728 + 23 = 751\nStep 6: 751 + 896 = 1647",
"Step 1: 67 + 23 = 90\nStep 2: 90 - 22 = 68\nStep 3: 68 + 23 = 91\nStep 4: 9... | [
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 67 + 23 = 90\nStep 2: 90 * 8 = 720\nStep 3: 720 + 72 = 792\nStep 4: 792 + 896 = 1698\nWas Correct: False\nTarget: 968",
"role": "user"
},
{
"content": "To solve this problem, we need to use the numbers [67, 23, 22] exa... | ||
95 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 156 | {"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\nUsing the numbers [98, 8, 66], create an equation that equals 156. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be... | 1 | [true] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem using the numbers [98, 8, 66] and creating an equation that equals 156, we need to find a combination of these numbers with basic arithmetic operations that will yield the desired result. \n\nHere\u2019s how I would approach it:\n\n1. **Identify possible combinations**:... | countdown | To solve this problem using the numbers [98, 8, 66] and creating an equation that equals 156, we need to find a combination of these numbers with basic arithmetic operations that will yield the desired result.
Here’s how I would approach it:
1. **Identify possible combinations**: We have three numbers: 98, 8, and 66... | 95 | 0 | Step 1: 98 * 8 = 784
Step 2: 784 + 66 = 850 | 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
Using the numbers [98, 8, 66], create an equation that equals 156. You can us... | 0 | false | Incorrect final answer | [
[
"Step 1: 98 * 8 = 784\nStep 2: 784 + 66 = 850"
],
[
"Step 1: 98 - 8 = 90\nStep 2: 90 + 66 = 156"
],
[
"Step 1: 98 - 8 = 90\nStep 2: 90 + 66 = 156"
],
[
"Step 1: 98 - 8 = 90\nStep 2: 90 + 66 = 156"
],
[
"Step 1: 98 - 8 = 90\nStep 2: 90 + 66 = 156"
],
[
"Step 1: 98 - 8 = ... | [
[
false
],
[
true
],
[
true
],
[
true
],
[
true
],
[
true
]
] | [
[
"Incorrect final answer"
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve this problem using the numbers [98, 8, 66] and creating an equation that equals 156, we need to find a combination of these numbers with basic arithmetic operations that will yield the desired result. \n\nHere’s how I would approach it:\n\n1. **Identify possible combinations**: We have three numbers: 98, ... | [
"Step 1: 98 * 8 = 784\nStep 2: 784 + 66 = 850",
"Step 1: 98 - 8 = 90\nStep 2: 90 + 66 = 156",
"Step 1: 98 - 8 = 90\nStep 2: 90 + 66 = 156",
"Step 1: 98 - 8 = 90\nStep 2: 90 + 66 = 156",
"Step 1: 98 - 8 = 90\nStep 2: 90 + 66 = 156",
"Step 1: 98 - 8 = 90\nStep 2: 90 + 66 = 156"
] | [
false,
true,
true,
true,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 98 * 8 = 784\nStep 2: 784 + 66 = 850\nWas Correct: False\nTarget: 156",
"role": "user"
},
{
"content": "To solve this problem using the numbers [98, 8, 66] and creating an equation that equals 156, we need to find a co... | ||
96 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 165 | {"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\nUsing the numbers [73, 85, 7], create an equation that equals 165. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to find a combination of the given numbers [73, 85, 7] using basic arithmetic operations that results in the target number 165. Let's break it down:\n\nStep 1: First, let's try adding two of the numbers together. We can start with 73 and 85:\n 73 + 85 = 158\n... | countdown | To solve this problem, we need to find a combination of the given numbers [73, 85, 7] using basic arithmetic operations that results in the target number 165. Let's break it down:
Step 1: First, let's try adding two of the numbers together. We can start with 73 and 85:
73 + 85 = 158
Step 2: Now, we have 158 left t... | 96 | 0 | Step 1: 73 + 85 = 158
Step 2: 158 + 7 = 165 | 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
Using the numbers [73, 85, 7], create an equation that equals 165. You can us... | 0 | true | [
[
"Step 1: 73 + 85 = 158\nStep 2: 158 + 7 = 165"
],
[
"Step 1: 73 + 85 = 158\nStep 2: 158 + 7 = 165"
],
[
"Step 1: 73 + 85 + 7 = 165"
],
[
"Step 1: 73 + 85 = 158\nStep 2: 158 + 7 = 165",
"Step 1: 73 + 85 = 158\nStep 2: 158 - 7 = 151",
"Step 1: 73 + 85 = 158\nStep 2: 158 - 7 = 151... | [
[
true
],
[
true
],
[
true
],
[
true,
false,
false
],
[
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
],
[
false,
false,
false,
false,
false,
false,
false,
false,
... | [
[
""
],
[
""
],
[
""
],
[
"",
"Incorrect final answer",
"Line uses unavailable numbers: Step 3: 151 + 7 = 158"
],
[
"Line uses unavailable numbers: Step 3: 151 + 7 = 158",
"Line uses unavailable numbers: Step 3: 151 + 7 = 158",
"Line uses unavailable numbers: Step... | [
[
""
],
[
""
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[
""
],
[
"",
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[
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"To solve this problem, we need to find a combination of the given numbers [73, 85, 7] using basic arithmetic operations that results in the target number 165. Let's break it down:\n\nStep 1: First, let's try adding two of the numbers together. We can start with 73 and 85:\n 73 + 85 = 158\n\nStep 2: Now, we have ... | [
"Step 1: 73 + 85 = 158\nStep 2: 158 + 7 = 165",
"Step 1: 73 + 85 = 158\nStep 2: 158 + 7 = 165",
"Step 1: 73 + 85 + 7 = 165",
"Step 1: 73 + 85 = 158\nStep 2: 158 - 7 = 151\nStep 3: 151 + 7 = 158",
"Step 1: 73 + 85 = 158\nStep 2: 158 - 7 = 151\nStep 3: 151 + 7 = 158",
"Step 1: 73 + 85 = 158\nStep 2: 158 - 7... | [
true,
true,
true,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 73 + 85 = 158\nStep 2: 158 + 7 = 165\nWas Correct: True\nTarget: 165",
"role": "user"
},
{
"content": "To solve this problem, we need to find a combination of the given numbers [73, 85, 7] using basic arithmetic operat... | |||
97 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 179 | {"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\nUsing the numbers [42, 53, 84], create an equation that equals 179. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to combine the given numbers [42, 53, 84] using basic arithmetic operations (+, -, *, /) so that the result equals 179. Let's break it down:\n\nStep 1: First, let's try adding two of the numbers together. We can start with 42 and 53.\n 42 + 53 = 95\n\nStep 2:... | countdown | To solve this problem, we need to combine the given numbers [42, 53, 84] using basic arithmetic operations (+, -, *, /) so that the result equals 179. Let's break it down:
Step 1: First, let's try adding two of the numbers together. We can start with 42 and 53.
42 + 53 = 95
Step 2: Now, we have 95 left from our in... | 97 | 0 | Step 1: 42 + 53 = 95
Step 2: 95 + 84 = 179 | 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
Using the numbers [42, 53, 84], create an equation that equals 179. You can u... | 0 | true | [
[
"Step 1: 42 + 53 = 95\nStep 2: 95 + 84 = 179"
],
[
"Step 1: 42 + 53 = 95\nStep 2: 95 - 84 = 11"
],
[
"Step 1: 42 + 53 = 95\nStep 2: 95 + 84 = 179"
],
[
"Step 1: 42 + 53 = 95\nStep 2: 95 + 84 = 179"
],
[
"Step 1: 42 + 53 = 95\nStep 2: 95 - 84 = 11"
],
[
"Step 1: 42 + 53 ... | [
[
true
],
[
false
],
[
true
],
[
true
],
[
false
],
[
false
]
] | [
[
""
],
[
"Incorrect final answer"
],
[
""
],
[
""
],
[
"Incorrect final answer"
],
[
"Incorrect final answer"
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve this problem, we need to combine the given numbers [42, 53, 84] using basic arithmetic operations (+, -, *, /) so that the result equals 179. Let's break it down:\n\nStep 1: First, let's try adding two of the numbers together. We can start with 42 and 53.\n 42 + 53 = 95\n\nStep 2: Now, we have 95 left f... | [
"Step 1: 42 + 53 = 95\nStep 2: 95 + 84 = 179",
"Step 1: 42 + 53 = 95\nStep 2: 95 - 84 = 11",
"Step 1: 42 + 53 = 95\nStep 2: 95 + 84 = 179",
"Step 1: 42 + 53 = 95\nStep 2: 95 + 84 = 179",
"Step 1: 42 + 53 = 95\nStep 2: 95 - 84 = 11",
"Step 1: 42 + 53 = 95\nStep 2: 95 - 84 = 11"
] | [
true,
false,
true,
true,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 42 + 53 = 95\nStep 2: 95 + 84 = 179\nWas Correct: True\nTarget: 179",
"role": "user"
},
{
"content": "To solve this problem, we need to combine the given numbers [42, 53, 84] using basic arithmetic operations (+, -, *,... | |||
98 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 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\nUsing the numbers [22, 7, 23], create an equation that equals 660. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to combine the given numbers [22, 7, 23] using basic arithmetic operations (+, -, *, /) so that the result equals 660. Let's try different combinations:\n\nStep 1: Start with the largest number (23)\n - We can multiply 23 by 22 to get close to our target numb... | countdown | To solve this problem, we need to combine the given numbers [22, 7, 23] using basic arithmetic operations (+, -, *, /) so that the result equals 660. Let's try different combinations:
Step 1: Start with the largest number (23)
- We can multiply 23 by 22 to get close to our target number (660)
- 23 * 22 = 506
St... | 98 | 0 | Step 1: 23 * 22 = 506
Step 2: 506 + 7 = 513
Step 3: 513 + 2 = 515 | 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
Using the numbers [22, 7, 23], create an equation that equals 660. You can us... | 0 | false | Line uses unavailable numbers: Step 3: 513 + 2 = 515 | [
[
"Step 1: 23 * 22 = 506\nStep 2: 506 + 7 = 513\nStep 3: 513 + 2 = 515"
],
[
"Step 1: 23 * 22 = 506\nStep 2: 506 + 7 = 513\nStep 3: 513 - 23 = 490"
],
[
"We cannot achieve exactly 660 with the given numbers [22, 7, 23] using basic arithmetic operations. The closest we can get is 513."
],
[
... | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false,
false,
false,
false
]
] | [
[
"Line uses unavailable numbers: Step 3: 513 + 2 = 515"
],
[
"Line uses unavailable numbers: Step 3: 513 - 23 = 490"
],
[
"Expected a single '=' separating expression and result"
],
[
"Expected a single '=' separating expression and result"
],
[
"Expected a single '=' separating... | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
"",
"",
"",
""
]
] | [
"To solve this problem, we need to combine the given numbers [22, 7, 23] using basic arithmetic operations (+, -, *, /) so that the result equals 660. Let's try different combinations:\n\nStep 1: Start with the largest number (23)\n - We can multiply 23 by 22 to get close to our target number (660)\n - 23 * 22 ... | [
"Step 1: 23 * 22 = 506\nStep 2: 506 + 7 = 513\nStep 3: 513 + 2 = 515",
"Step 1: 23 * 22 = 506\nStep 2: 506 + 7 = 513\nStep 3: 513 - 23 = 490",
"We cannot achieve exactly 660 with the given numbers [22, 7, 23] using basic arithmetic operations. The closest we can get is 513.",
"We cannot achieve exactly 660 wi... | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 23 * 22 = 506\nStep 2: 506 + 7 = 513\nStep 3: 513 + 2 = 515\nWas Correct: False\nTarget: 660",
"role": "user"
},
{
"content": "To solve this problem, we need to combine the given numbers [22, 7, 23] using basic arithme... | ||
99 | {"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step... | 254 | {"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\nUsing the numbers [3, 10, 88], create an equation that equals 254. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be... | 0 | [false] | samples_countdown_2025-06-15T16-42-00.069708.jsonl | [{"budget_forced_chunks": ["To solve this problem, we need to find a combination of the given numbers [3, 10, 88] using basic arithmetic operations (addition, subtraction, multiplication, division) that results in the target number 254.\n\nStep 1: Let's start with addition.\n3 + 10 = 13\n13 + 88 = 101\n\nStep 2: Now, l... | countdown | To solve this problem, we need to find a combination of the given numbers [3, 10, 88] using basic arithmetic operations (addition, subtraction, multiplication, division) that results in the target number 254.
Step 1: Let's start with addition.
3 + 10 = 13
13 + 88 = 101
Step 2: Now, let's try subtraction.
10 - 3 = 7
8... | 99 | 0 | Step 1: 10 - 3 = 7
Step 2: 88 - 7 = 81
Step 3: 81 * 3 = 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
Using the numbers [3, 10, 88], create an equation that equals 254. You can us... | 0 | false | Line uses unavailable numbers: Step 3: 81 * 3 = 243 | [
[
"Step 1: 10 - 3 = 7\nStep 2: 88 - 7 = 81\nStep 3: 81 * 3 = 243"
],
[
""
]
] | [
[
false
],
[
false
]
] | [
[
"Line uses unavailable numbers: Step 3: 81 * 3 = 243"
],
[
"No answer"
]
] | [
[
""
],
[
""
]
] | [
"To solve this problem, we need to find a combination of the given numbers [3, 10, 88] using basic arithmetic operations (addition, subtraction, multiplication, division) that results in the target number 254.\n\nStep 1: Let's start with addition.\n3 + 10 = 13\n13 + 88 = 101\n\nStep 2: Now, let's try subtraction.\n... | [
"Step 1: 10 - 3 = 7\nStep 2: 88 - 7 = 81\nStep 3: 81 * 3 = 243",
""
] | [
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 10 - 3 = 7\nStep 2: 88 - 7 = 81\nStep 3: 81 * 3 = 243\nWas Correct: False\nTarget: 254",
"role": "user"
},
{
"content": "To solve this problem, we need to find a combination of the given numbers [3, 10, 88] using basic... |
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