doc_id int64 | doc string | target string | arguments string | exact_match int64 | extracted_answers string | source_file string | info string | evaluation_api_cost 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 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 13 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by rearranging the numbers to make it easier to multiply. We can group 15 and 19 by subtracting 9 from 19, assuming the presence of a number 9 which can be added to 15 to balance the equation.\n\n15 \u00d7 19 - 9 = 13\n\nThis is because:\n\n15 \u00d7 19 = 2... | null | countdown | To solve the problem, we can start by rearranging the numbers to make it easier to multiply. We can group 15 and 19 by subtracting 9 from 19, assuming the presence of a number 9 which can be added to 15 to balance the equation.
15 × 19 - 9 = 13
This is because:
15 × 19 = 265
265 - 9 = 256
Therefore, the equation th... | 0 | 0 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Expected a single '=' separating expression and result | [
[
"256"
],
[
"276"
],
[
""
],
[
"276"
],
[
"276"
],
[
"276"
]
] | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"Expected a single '=' separating expression and result"
],
[
"Expected a single '=' separating expression and result"
],
[
"No answer"
],
[
"Expected a single '=' separating expression and result"
],
[
"Expected a single '=' separating expression and result"
],
[
"Expe... | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by rearranging the numbers to make it easier to multiply. We can group 15 and 19 by subtracting 9 from 19, assuming the presence of a number 9 which can be added to 15 to balance the equation.\n\n15 × 19 - 9 = 13\n\nThis is because:\n\n15 × 19 = 265\n265 - 9 = 256\n\nTherefore, t... | [
"256",
"276",
"",
"276",
"276",
"276"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: 256\nWas Correct: False\nTarget: 13",
"role": "user"
},
{
"content": "To solve the problem, we can start by rearranging the numbers to make it easier to multiply. We can group 15 and 19 by subtracting 9 from 19, assuming the p... | ||
1 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 10 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we need to use the given numbers [20, 9, 2, 24] and apply the basic arithmetic operations (+, -, *, /) to arrive at the target number. We are also required to follow the order of operations (PEMDAS/BODMAS/Bidmas/BIDMAS) and perform each number operationally once. \n\nSt... | null | countdown | To solve the problem, we need to use the given numbers [20, 9, 2, 24] and apply the basic arithmetic operations (+, -, *, /) to arrive at the target number. We are also required to follow the order of operations (PEMDAS/BODMAS/Bidmas/BIDMAS) and perform each number operationally once.
Step 1: First, let's try to find... | 1 | 0 | Step 1: 20 / 2 = 10 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | true | [
[
"Step 1: 20 / 2 = 10"
],
[
"Step 1: 20 * 2 = 40\nStep 2: 24 - 9 = 15\nStep 3: 40 + 15 = 55",
"\\nStep 1: number1 (+,-,*,/) number2 = result.\\nSo, the final answer in the required format is:\n\n<final_answer>\nStep 1: 20 * 2 = 40\nStep 2: 24 - 9 = 15\nStep 3: 40 + 15 = 55"
],
[
"Step 1: 20... | [
[
true
],
[
false,
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
""
],
[
"Incorrect final answer",
"Could not evaluate line: \\nStep 1: number1 (+,-,*,/) number2 = result.\\nSo, the final answer in the required format is:"
],
[
"Incorrect final answer"
],
[
"Incorrect final answer"
],
[
"No answer"
],
[
"No answer"
]
] | [
[
""
],
[
"",
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we need to use the given numbers [20, 9, 2, 24] and apply the basic arithmetic operations (+, -, *, /) to arrive at the target number. We are also required to follow the order of operations (PEMDAS/BODMAS/Bidmas/BIDMAS) and perform each number operationally once. \n\nStep 1: First, let's try ... | [
"Step 1: 20 / 2 = 10",
"\\nStep 1: number1 (+,-,*,/) number2 = result.\\nSo, the final answer in the required format is:\n\n<final_answer>\nStep 1: 20 * 2 = 40\nStep 2: 24 - 9 = 15\nStep 3: 40 + 15 = 55",
"Step 1: 20 - 9 = 11\nStep 2: 11 * 2 = 22\nStep 3: 22 + 24 = 46",
"Step 1: 20 - 9 = 11\nStep 2: 11 * 2 = ... | [
true,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 20 / 2 = 10\nWas Correct: True\nTarget: 10",
"role": "user"
},
{
"content": "To solve the problem, we need to use the given numbers [20, 9, 2, 24] and apply the basic arithmetic operations (+, -, *, /) to arrive at the... | |||
2 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 24 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's group the numbers in a way that makes sense:\n [13, 3, 18, 10]\n\n2. We can start by multiplying the first two numbers, and then the last two:\n\n 13 * 3 = 39\n 18 * 1... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations accordingly:
1. First, let's group the numbers in a way that makes sense:
[13, 3, 18, 10]
2. We can start by multiplying the first two numbers, and then the last two:
13 * 3 = 39
18 * 10 = 180
3. Now we have two results:... | 2 | 0 | 219 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Expected a single '=' separating expression and result | [
[
"219"
],
[
"24"
],
[
""
],
[
"13 * 2 = 26",
"18 * 2 = 36",
"26 + 36 = 62",
"62 + 10 = 72",
"72 + 3 = 75",
"75 + 180 = 219"
],
[
"219"
],
[
"24"
]
] | [
[
false
],
[
false
],
[
false
],
[
false,
false,
false,
false,
false,
false
],
[
false
],
[
false
]
] | [
[
"Expected a single '=' separating expression and result"
],
[
"Expected a single '=' separating expression and result"
],
[
"No answer"
],
[
"Expression uses an unavailable or repeated number",
"Expression uses an unavailable or repeated number",
"Expression uses an unavailable... | [
[
""
],
[
""
],
[
""
],
[
"",
"",
"",
"",
"",
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's group the numbers in a way that makes sense:\n [13, 3, 18, 10]\n\n2. We can start by multiplying the first two numbers, and then the last two:\n\n 13 * 3 = 39\n 18 * 10 = 180\n\n3. Now we ha... | [
"219",
"24",
"",
"75 + 180 = 219",
"219",
"24"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: 219\nWas Correct: False\nTarget: 24",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's group the numbers in a way that makes... | ||
3 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 21 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\nGiven numbers: 23, 3, 2, 22\n\nStep 1: We can group the numbers like this: (23 - 3) * (2 + 22)\n\nStep 2: Apply the operations within each group\n(23 - 3) = 20\n(2 + 22) = 24\n\nStep 3: Mul... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations accordingly:
Given numbers: 23, 3, 2, 22
Step 1: We can group the numbers like this: (23 - 3) * (2 + 22)
Step 2: Apply the operations within each group
(23 - 3) = 20
(2 + 22) = 24
Step 3: Multiply the results of the previous step... | 3 | 0 | Step 1: (23 - 3) * (2 + 22) = 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Incorrect final answer | [
[
"Step 1: (23 - 3) * (2 + 22) = 480"
],
[
""
],
[
""
],
[
""
],
[
""
],
[
"Step 1: (23 - 3) * (2 + 22) = 480"
]
] | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"Incorrect final answer"
],
[
"No answer"
],
[
"No answer"
],
[
"No answer"
],
[
"No answer"
],
[
"Incorrect final answer"
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\nGiven numbers: 23, 3, 2, 22\n\nStep 1: We can group the numbers like this: (23 - 3) * (2 + 22)\n\nStep 2: Apply the operations within each group\n(23 - 3) = 20\n(2 + 22) = 24\n\nStep 3: Multiply the results of th... | [
"Step 1: (23 - 3) * (2 + 22) = 480",
"",
"",
"",
"",
"Step 1: (23 - 3) * (2 + 22) = 480"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: (23 - 3) * (2 + 22) = 480\nWas Correct: False\nTarget: 21",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\nGiven numbers: 23, 3, 2... | ||
4 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 17 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. We have 3, 8, 4, and 13, which seem to be out of order, so let's try to sort them. We can pair the numbers as follows: (3 * 4) and (8 * 13). Let's calculate each part separately:\n\n1. For 3 ... | null | countdown | To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. We have 3, 8, 4, and 13, which seem to be out of order, so let's try to sort them. We can pair the numbers as follows: (3 * 4) and (8 * 13). Let's calculate each part separately:
1. For 3 and 4:
3 * 4 = 12
2. For 8... | 4 | 0 | tag is:
<answer>33 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Missing '=' in line: tag is: | [
[
"tag is:\n<answer>33"
],
[
""
],
[
"Grouping 3, 8, 4, and 13 in different ways to achieve the same result:\n(3 * 4) + (8 * 13) = 12 + 104 = 116\n\nThe target number can be obtained through different operations and groupings, but the most common and straightforward way is:\n116\n\nHowever, if t... | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"Missing '=' in line: tag is:"
],
[
"No answer"
],
[
"Missing '=' in line: Grouping 3, 8, 4, and 13 in different ways to achieve the same result:"
],
[
"Missing '=' in line: tag is:"
],
[
"No answer"
],
[
"No answer"
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. We have 3, 8, 4, and 13, which seem to be out of order, so let's try to sort them. We can pair the numbers as follows: (3 * 4) and (8 * 13). Let's calculate each part separately:\n\n1. For 3 and 4:\n 3 * 4 = 12\n... | [
"tag is:\n<answer>33",
"",
"Grouping 3, 8, 4, and 13 in different ways to achieve the same result:\n(3 * 4) + (8 * 13) = 12 + 104 = 116\n\nThe target number can be obtained through different operations and groupings, but the most common and straightforward way is:\n116\n\nHowever, if the goal is to use the numb... | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: tag is:\n<answer>33\nWas Correct: False\nTarget: 17",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. We have 3, 8, 4, and 13, which seem to ... | ||
5 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 18 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can break it down into simpler steps:\n\n1. First, let's multiply the two occurrences of 12: \n 12 * 12 = 144\n\n2. Now, we need to add 6 to the result from step 1:\n 144 + 6 = 150\n\n3. Finally, we need to multiply the result from step 2 by 12:\n 150 * 12 = 18... | null | countdown | To solve the problem, we can break it down into simpler steps:
1. First, let's multiply the two occurrences of 12:
12 * 12 = 144
2. Now, we need to add 6 to the result from step 1:
144 + 6 = 150
3. Finally, we need to multiply the result from step 2 by 12:
150 * 12 = 1800
So, the final answer is 1800. | 5 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | No answer | [
[
""
],
[
""
],
[
"Step 1: 12 * 12 = 144\nStep 2: 144 + 6 = 150\nStep 3: 150 * 12 = 1800",
"Step 1: 12 * 12 = 144\nStep 2: 144 + 6 = 150\nStep 3: 150 * 12 = 1800",
"1800"
],
[
""
],
[
""
],
[
"1800"
]
] | [
[
false
],
[
false
],
[
false,
false,
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"No answer"
],
[
"No answer"
],
[
"Line uses unavailable numbers: Step 3: 150 * 12 = 1800",
"Line uses unavailable numbers: Step 3: 150 * 12 = 1800",
"Expected a single '=' separating expression and result"
],
[
"No answer"
],
[
"No answer"
],
[
"Expected a sing... | [
[
""
],
[
""
],
[
"",
"",
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can break it down into simpler steps:\n\n1. First, let's multiply the two occurrences of 12: \n 12 * 12 = 144\n\n2. Now, we need to add 6 to the result from step 1:\n 144 + 6 = 150\n\n3. Finally, we need to multiply the result from step 2 by 12:\n 150 * 12 = 1800\n\nSo, the final ans... | [
"",
"",
"1800",
"",
"",
"1800"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \nWas Correct: False\nTarget: 18",
"role": "user"
},
{
"content": "To solve the problem, we can break it down into simpler steps:\n\n1. First, let's multiply the two occurrences of 12: \n 12 * 12 = 144\n\n2. Now, we need to ... | |||
6 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 21 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's group the numbers in sets of three: [6, 15, 13] and [9, 13, 9]. We can add or subtract the numbers in each set to isolate the number 21.\n\nStep 1: Add 15 and 13\nResult: 15... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations accordingly:
1. First, let's group the numbers in sets of three: [6, 15, 13] and [9, 13, 9]. We can add or subtract the numbers in each set to isolate the number 21.
Step 1: Add 15 and 13
Result: 15 + 13 = 28
Step 2: Subtract 9 fr... | 6 | 0 | 21 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Expected a single '=' separating expression and result | [
[
"21"
],
[
"21"
],
[
"Step 1: 15 + 13 = 28\nStep 2: 28 - 9 = 19\nStep 3: 19 + 6 = 25\nStep 4: 25 - 13 = 12\nStep 5: 12 + 9 = 21",
"21"
],
[
"21"
],
[
"6 + 15 - 13 - 9 = 21"
],
[
""
]
] | [
[
false
],
[
false
],
[
false,
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"Expected a single '=' separating expression and result"
],
[
"Expected a single '=' separating expression and result"
],
[
"Line uses unavailable numbers: Step 4: 25 - 13 = 12",
"Expected a single '=' separating expression and result"
],
[
"Expected a single '=' separating express... | [
[
""
],
[
""
],
[
"",
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's group the numbers in sets of three: [6, 15, 13] and [9, 13, 9]. We can add or subtract the numbers in each set to isolate the number 21.\n\nStep 1: Add 15 and 13\nResult: 15 + 13 = 28\n\nStep 2: S... | [
"21",
"21",
"21",
"21",
"6 + 15 - 13 - 9 = 21",
""
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: 21\nWas Correct: False\nTarget: 21",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's group the numbers in sets of three: [6... | ||
7 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 17 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number, which is 17 in this case.\n\n1. First, let's consider the multiplication and addition operations. We can try to create larger numbers with smaller operations.\n\n2. We can s... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number, which is 17 in this case.
1. First, let's consider the multiplication and addition operations. We can try to create larger numbers with smaller operations.
2. We can start by multiplying the first tw... | 7 | 0 | \nStep 1: 16 + 2 = 18 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Line uses unavailable numbers: \nStep 1: 16 + 2 = 18 | [
[
"\\nStep 1: 16 + 2 = 18"
],
[
""
],
[
"\\nStep 1: 2*8 = 16\\nStep 2: 16 - 2 = 14\\nStep 3: 14 + 3 = 17"
],
[
"2 * 8 * 2 = 17"
],
[
""
],
[
"2 * 8 * 2 = 17"
]
] | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"Line uses unavailable numbers: \\nStep 1: 16 + 2 = 18"
],
[
"No answer"
],
[
"Could not evaluate line: \\nStep 1: 2*8 = 16\\nStep 2: 16 - 2 = 14\\nStep 3: 14 + 3 = 17"
],
[
"Expression does not equal stated result"
],
[
"No answer"
],
[
"Expression does not equal state... | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number, which is 17 in this case.\n\n1. First, let's consider the multiplication and addition operations. We can try to create larger numbers with smaller operations.\n\n2. We can start by multiplying the... | [
"\\nStep 1: 16 + 2 = 18",
"",
"\\nStep 1: 2*8 = 16\\nStep 2: 16 - 2 = 14\\nStep 3: 14 + 3 = 17",
"2 * 8 * 2 = 17",
"",
"2 * 8 * 2 = 17"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \\nStep 1: 16 + 2 = 18\nWas Correct: False\nTarget: 17",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number, which is 17 in thi... | ||
8 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 22 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's group the numbers in sets of two:\n (21, 15) and (5, 9)\n\n2. We'll solve the first pair:\n 21 - 15 = 6\n\n3. Now, let's move to the second pair:\n 5 * 9 = 45\n\n4. Si... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations accordingly:
1. First, let's group the numbers in sets of two:
(21, 15) and (5, 9)
2. We'll solve the first pair:
21 - 15 = 6
3. Now, let's move to the second pair:
5 * 9 = 45
4. Since each number can only be used once, ... | 8 | 0 | 22 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Expected a single '=' separating expression and result | [
[
"22"
],
[
"Step 4: 45 + 6 = 51",
"51"
],
[
""
],
[
""
],
[
"99"
],
[
""
]
] | [
[
false
],
[
false,
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"Expected a single '=' separating expression and result"
],
[
"Line uses unavailable numbers: Step 4: 45 + 6 = 51",
"Expected a single '=' separating expression and result"
],
[
"No answer"
],
[
"No answer"
],
[
"Expected a single '=' separating expression and result"
],
... | [
[
""
],
[
"",
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's group the numbers in sets of two:\n (21, 15) and (5, 9)\n\n2. We'll solve the first pair:\n 21 - 15 = 6\n\n3. Now, let's move to the second pair:\n 5 * 9 = 45\n\n4. Since each number can onl... | [
"22",
"51",
"",
"",
"99",
""
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: 22\nWas Correct: False\nTarget: 22",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's group the numbers in sets of two:\n ... | ||
9 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 14 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we need to use the given numbers [6, 22, 14] and apply the basic arithmetic operations (+, -, *, /) to arrive at the target number, which is 14.\n\nStep 1: We start with the first number, 6. We can either use it in the multiplication or addition process. Let's multiply ... | null | countdown | To solve the problem, we need to use the given numbers [6, 22, 14] and apply the basic arithmetic operations (+, -, *, /) to arrive at the target number, which is 14.
Step 1: We start with the first number, 6. We can either use it in the multiplication or addition process. Let's multiply it by the second number, 22.
... | 9 | 0 | Step 1: 6 * 22 = 132
Step 2: 132 - 14 = 118
Step 3: 118 * 14 = 1652 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Line uses unavailable numbers: Step 3: 118 * 14 = 1652 | [
[
"Step 1: 6 * 22 = 132\nStep 2: 132 - 14 = 118\nStep 3: 118 * 14 = 1652"
],
[
"Step 1: 6 * 22 = 132\nStep 2: 2 * 14 = 28\nStep 3: 132 + 28 = 160"
],
[
"Step 1: 6 * 14 = 84"
],
[
"1652"
],
[
"Step 1: 6 * 14 = 84 ( manipulate 6)\nStep 2: 84 - 22 = 62\nStep 3: 62 + 14 = 76"
],
... | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"Line uses unavailable numbers: Step 3: 118 * 14 = 1652"
],
[
"Line uses unavailable numbers: Step 2: 2 * 14 = 28"
],
[
"Incorrect final answer"
],
[
"Expected a single '=' separating expression and result"
],
[
"Could not evaluate line: Step 1: 6 * 14 = 84 ( manipulate 6)"
]... | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we need to use the given numbers [6, 22, 14] and apply the basic arithmetic operations (+, -, *, /) to arrive at the target number, which is 14.\n\nStep 1: We start with the first number, 6. We can either use it in the multiplication or addition process. Let's multiply it by the second number... | [
"Step 1: 6 * 22 = 132\nStep 2: 132 - 14 = 118\nStep 3: 118 * 14 = 1652",
"Step 1: 6 * 22 = 132\nStep 2: 2 * 14 = 28\nStep 3: 132 + 28 = 160",
"Step 1: 6 * 14 = 84",
"1652",
"Step 1: 6 * 14 = 84 ( manipulate 6)\nStep 2: 84 - 22 = 62\nStep 3: 62 + 14 = 76",
"224"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 6 * 22 = 132\nStep 2: 132 - 14 = 118\nStep 3: 118 * 14 = 1652\nWas Correct: False\nTarget: 14",
"role": "user"
},
{
"content": "To solve the problem, we need to use the given numbers [6, 22, 14] and apply the basic ari... | ||
10 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 12 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number. \n\nGiven numbers: 20, 15, 17\n\nStep 1: We can start by multiplying the first two numbers, as their product often leads to simpler addition:\n\n\\( 20 \\times 15 = 300 \\)\... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number.
Given numbers: 20, 15, 17
Step 1: We can start by multiplying the first two numbers, as their product often leads to simpler addition:
\( 20 \times 15 = 300 \)
Step 2: Now, we need to add the thir... | 10 | 0 | 317 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Expected a single '=' separating expression and result | [
[
"317"
],
[
""
],
[
""
]
] | [
[
false
],
[
false
],
[
false
]
] | [
[
"Expected a single '=' separating expression and result"
],
[
"No answer"
],
[
"No answer"
]
] | [
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number. \n\nGiven numbers: 20, 15, 17\n\nStep 1: We can start by multiplying the first two numbers, as their product often leads to simpler addition:\n\n\\( 20 \\times 15 = 300 \\)\n\nStep 2: Now, we need... | [
"317",
"",
""
] | [
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: 317\nWas Correct: False\nTarget: 12",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number. \n\nGiven numbers: 20, 15, 17\n\nStep... | ||
11 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 18 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. One common approach is to try to express the numbers as powers of each other. \n\nGiven the numbers 18, 9, 21, and 11, we can see that 18 and 21 are potential candidates because they are clos... | null | countdown | To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. One common approach is to try to express the numbers as powers of each other.
Given the numbers 18, 9, 21, and 11, we can see that 18 and 21 are potential candidates because they are close to a power of 10. Let's try ... | 11 | 0 | Step 1: 18 - 21 = -3
Step 2: -3 * 11 = -33
Step 3: -33 + 9 = -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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Line uses unavailable numbers: Step 2: -3 * 11 = -33 | [
[
"Step 1: 18 - 21 = -3\nStep 2: -3 * 11 = -33\nStep 3: -33 + 9 = -24"
],
[
"Step 1: 18 - 21 = -3\nStep 2: -3 * 11 = -33\nStep 3: -33 + 9 = -24"
],
[
"Step 1: 21 + 11 = 32",
"Step 1: 21 - 11 = 10\nStep 2: 10 * 11 = 110"
],
[
"Step 1: 10 + 11 = 21"
],
[
"Step 1: 21 - 11 = 10",... | [
[
false
],
[
false
],
[
false,
false
],
[
false
],
[
false,
false
],
[
false
]
] | [
[
"Line uses unavailable numbers: Step 2: -3 * 11 = -33"
],
[
"Line uses unavailable numbers: Step 2: -3 * 11 = -33"
],
[
"Incorrect final answer",
"Line uses unavailable numbers: Step 2: 10 * 11 = 110"
],
[
"Line uses unavailable numbers: Step 1: 10 + 11 = 21"
],
[
"Incorrec... | [
[
""
],
[
""
],
[
"",
""
],
[
""
],
[
"",
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. One common approach is to try to express the numbers as powers of each other. \n\nGiven the numbers 18, 9, 21, and 11, we can see that 18 and 21 are potential candidates because they are close to a power of 10. Let... | [
"Step 1: 18 - 21 = -3\nStep 2: -3 * 11 = -33\nStep 3: -33 + 9 = -24",
"Step 1: 18 - 21 = -3\nStep 2: -3 * 11 = -33\nStep 3: -33 + 9 = -24",
"Step 1: 21 - 11 = 10\nStep 2: 10 * 11 = 110",
"Step 1: 10 + 11 = 21",
"18 + 9 = 27\n27 * 21 = 567\n567 + 11 = 578",
"Step 1: 18 - 11 = 7\nStep 2: 7 * 9 = 63"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 18 - 21 = -3\nStep 2: -3 * 11 = -33\nStep 3: -33 + 9 = -24\nWas Correct: False\nTarget: 18",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers in a way that makes sense mathemat... | ||
12 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 13 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number 13.\n\n1. First, let's consider the number 24. We can break it down into 20 and 4, or 10 and 12, or even 8 and 16. However, since we need to use each number only once and we'... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number 13.
1. First, let's consider the number 24. We can break it down into 20 and 4, or 10 and 12, or even 8 and 16. However, since we need to use each number only once and we're aiming for a simpler operat... | 12 | 0 | \nStep 1: 24 + 9 = 33\nStep 2: 33 + 17 = 50\nStep 3: 50 - 6 = 44 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Could not evaluate line: \nStep 1: 24 + 9 = 33\nStep 2: 33 + 17 = 50\nStep 3: 50 - 6 = 44 | [
[
"\\nStep 1: 24 + 9 = 33\\nStep 2: 33 + 17 = 50\\nStep 3: 50 - 6 = 44",
"\\nStep 1: 24 - 17 = 7 (but since we need to use 9, we'll go back and add it)\\nStep 2: 7 + 9 = 16\\nStep 3: 16 + 6 = 22"
],
[
"\\nStep 1: 24 + 9 = 33 (but we need to use 17 and 6, so we'll go back and add them)\\nStep 2: 33 +... | [
[
false,
false
],
[
false,
false,
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"Could not evaluate line: \\nStep 1: 24 + 9 = 33\\nStep 2: 33 + 17 = 50\\nStep 3: 50 - 6 = 44",
"Could not evaluate line: \\nStep 1: 24 - 17 = 7 (but since we need to use 9, we'll go back and add it)\\nStep 2: 7 + 9 = 16\\nStep 3: 16 + 6 = 22"
],
[
"Could not evaluate line: \\nStep 1: 24 + 9 = 33 ... | [
[
"",
""
],
[
"",
"",
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number 13.\n\n1. First, let's consider the number 24. We can break it down into 20 and 4, or 10 and 12, or even 8 and 16. However, since we need to use each number only once and we're aiming for a simpler... | [
"\\nStep 1: 24 - 17 = 7 (but since we need to use 9, we'll go back and add it)\\nStep 2: 7 + 9 = 16\\nStep 3: 16 + 6 = 22",
"\\nStep 1: 24 + 9 = 33 (but we need to use 17 and 6, so we'll go back and add them)\\nStep 2: 33 + 6 = 39 (but we need to use 17, so we'll go back and change it to 17)\\nStep 3: 39 - 4 = 35... | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \\nStep 1: 24 - 17 = 7 (but since we need to use 9, we'll go back and add it)\\nStep 2: 7 + 9 = 16\\nStep 3: 16 + 6 = 22\nWas Correct: False\nTarget: 13",
"role": "user"
},
{
"content": "To solve the problem, we can start by g... | ||
13 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 13 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's add the two groups of three numbers each:\n (10 + 21 + 17) + (20 + 10 + 21) = 58 + 51 = 109\n\n2. Now, let's subtract the smaller group from the larger one:\n 109 - 51 =... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations accordingly:
1. First, let's add the two groups of three numbers each:
(10 + 21 + 17) + (20 + 10 + 21) = 58 + 51 = 109
2. Now, let's subtract the smaller group from the larger one:
109 - 51 = 58
3. Finally, let's multiply th... | 13 | 0 | \(116)\ | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Expected a single '=' separating expression and result | [
[
"\\(116)\\"
],
[
"\\(58)\\"
],
[
"(operation1 number1 operation2 number2 = result) . Therefore, the correct answer should be:\n\n<answer> + - * 116"
],
[
"(1 - 51) = 58",
"\\(116)\\"
],
[
"69"
],
[
"\\(116\\)"
]
] | [
[
false
],
[
false
],
[
false
],
[
false,
false
],
[
false
],
[
false
]
] | [
[
"Expected a single '=' separating expression and result"
],
[
"Expected a single '=' separating expression and result"
],
[
"Missing '=' in line: (operation1 number1 operation2 number2 = result) . Therefore, the correct answer should be:"
],
[
"Expression does not equal stated result",... | [
[
""
],
[
""
],
[
""
],
[
"",
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's add the two groups of three numbers each:\n (10 + 21 + 17) + (20 + 10 + 21) = 58 + 51 = 109\n\n2. Now, let's subtract the smaller group from the larger one:\n 109 - 51 = 58\n\n3. Finally, let'... | [
"\\(116)\\",
"\\(58)\\",
"(operation1 number1 operation2 number2 = result) . Therefore, the correct answer should be:\n\n<answer> + - * 116",
"\\(116)\\",
"69",
"\\(116\\)"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \\(116)\\\nWas Correct: False\nTarget: 13",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's add the two groups of three num... | ||
14 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 16 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number. \n\nGiven numbers: 20, 11, 16, 1\n\nStep 1: We can group 20 and 16 together, as well as 11 and 1.\n\n(<think>\nStep 1: Grouping 20 and 16 together, as well as 11 and 1.\n</t... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number.
Given numbers: 20, 11, 16, 1
Step 1: We can group 20 and 16 together, as well as 11 and 1.
(<think>
Step 1: Grouping 20 and 16 together, as well as 11 and 1.
</think>)
Step 2: Subtract 1 from 11,... | 14 | 0 | 30 * 16 - 1 = 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Expression does not equal stated result | [
[
"30 * 16 - 1 = 480"
],
[
""
],
[
""
],
[
"45",
"Step 1: 20 - 16 = 4\nStep 2: 4 * 11 = 44\nStep 3: 44 + 1 = 45"
],
[
"56"
],
[
"20 - 11 = 9\n9 * 16 = 144\n144 + 1 = 145"
]
] | [
[
false
],
[
false
],
[
false
],
[
false,
false
],
[
false
],
[
false
]
] | [
[
"Expression does not equal stated result"
],
[
"No answer"
],
[
"No answer"
],
[
"Expected a single '=' separating expression and result",
"Incorrect final answer"
],
[
"Expected a single '=' separating expression and result"
],
[
"Expected a single '=' separating e... | [
[
""
],
[
""
],
[
""
],
[
"",
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number. \n\nGiven numbers: 20, 11, 16, 1\n\nStep 1: We can group 20 and 16 together, as well as 11 and 1.\n\n(<think>\nStep 1: Grouping 20 and 16 together, as well as 11 and 1.\n</think>)\n \nStep 2: Subt... | [
"30 * 16 - 1 = 480",
"",
"",
"Step 1: 20 - 16 = 4\nStep 2: 4 * 11 = 44\nStep 3: 44 + 1 = 45",
"56",
"20 - 11 = 9\n9 * 16 = 144\n144 + 1 = 145"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: 30 * 16 - 1 = 480\nWas Correct: False\nTarget: 16",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number. \n\nGiven numbers: 20, ... | ||
15 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 13 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's group the numbers in sets of two:\n (10, 8), (2, 8)\n\n2. Let's solve the first group (10, 8):\n 10 - 8 = 2\n\n3. Now, let's solve the second group (2, 8):\n 2 * 8 = 1... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations accordingly:
1. First, let's group the numbers in sets of two:
(10, 8), (2, 8)
2. Let's solve the first group (10, 8):
10 - 8 = 2
3. Now, let's solve the second group (2, 8):
2 * 8 = 16
4. Finally, let's add the results ... | 15 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | No answer | [
[
""
],
[
"\\[32\\]"
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"No answer"
],
[
"Expected a single '=' separating expression and result"
],
[
"No answer"
],
[
"No answer"
],
[
"No answer"
],
[
"No answer"
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's group the numbers in sets of two:\n (10, 8), (2, 8)\n\n2. Let's solve the first group (10, 8):\n 10 - 8 = 2\n\n3. Now, let's solve the second group (2, 8):\n 2 * 8 = 16\n\n4. Finally, let's ... | [
"",
"\\[32\\]",
"",
"",
"",
""
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \nWas Correct: False\nTarget: 13",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's group the numbers in sets of two:\n (1... | |||
16 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 12 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's look at the last three numbers: 6, 9, and 18. We can divide 18 by 2 to get 9, and then multiply 9 by 3 to get 27. So, one possible step is:\n <think>Divide 18 by 2, then m... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations accordingly:
1. First, let's look at the last three numbers: 6, 9, and 18. We can divide 18 by 2 to get 9, and then multiply 9 by 3 to get 27. So, one possible step is:
<think>Divide 18 by 2, then multiply by 3</think>
<answer... | 16 | 0 | (18 / 2) * 3 = 27 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Expression uses an unavailable or repeated number | [
[
"(18 / 2) * 3 = 27",
"6 * 27 = 162",
"162"
],
[
""
],
[
""
],
[
"33",
"(18 / 2) * 3 * 6 = 33"
],
[
""
],
[
"162"
]
] | [
[
false,
false,
false
],
[
false
],
[
false
],
[
false,
false
],
[
false
],
[
false
]
] | [
[
"Expression uses an unavailable or repeated number",
"Expression uses an unavailable or repeated number",
"Expected a single '=' separating expression and result"
],
[
"No answer"
],
[
"No answer"
],
[
"Expected a single '=' separating expression and result",
"Expression do... | [
[
"",
"",
""
],
[
""
],
[
""
],
[
"",
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's look at the last three numbers: 6, 9, and 18. We can divide 18 by 2 to get 9, and then multiply 9 by 3 to get 27. So, one possible step is:\n <think>Divide 18 by 2, then multiply by 3</think>\n ... | [
"162",
"",
"",
"(18 / 2) * 3 * 6 = 33",
"",
"162"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: 162\nWas Correct: False\nTarget: 12",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's look at the last three numbers: 6, 9,... | ||
17 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 23 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's consider the numbers 18 and 24. We can either add or subtract them, but for simplicity, let's add them first:\n 18 + 24 = 42\n\n2. Now, let's look at the next number, 23. ... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations accordingly:
1. First, let's consider the numbers 18 and 24. We can either add or subtract them, but for simplicity, let's add them first:
18 + 24 = 42
2. Now, let's look at the next number, 23. We can either add or subtract thi... | 17 | 0 | 26 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Expected a single '=' separating expression and result | [
[
"26"
],
[
""
],
[
"18 + 24 - 23 + 7 = 26",
"25"
],
[
"26"
],
[
"26"
],
[
"(1 + 24) - 23 + 7 = 26"
]
] | [
[
false
],
[
false
],
[
false,
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"Expected a single '=' separating expression and result"
],
[
"No answer"
],
[
"Incorrect final answer",
"Expected a single '=' separating expression and result"
],
[
"Expected a single '=' separating expression and result"
],
[
"Expected a single '=' separating expression ... | [
[
""
],
[
""
],
[
"",
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's consider the numbers 18 and 24. We can either add or subtract them, but for simplicity, let's add them first:\n 18 + 24 = 42\n\n2. Now, let's look at the next number, 23. We can either add or su... | [
"26",
"",
"25",
"26",
"26",
"(1 + 24) - 23 + 7 = 26"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: 26\nWas Correct: False\nTarget: 23",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's consider the numbers 18 and 24. We can... | ||
18 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 19 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's look at the first two numbers, 8 and 19. We can apply the subtraction operation here:\n 19 - 8 = 11\n\n2. Now, let's look at the last two numbers, 8 and 1. We can apply th... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations accordingly:
1. First, let's look at the first two numbers, 8 and 19. We can apply the subtraction operation here:
19 - 8 = 11
2. Now, let's look at the last two numbers, 8 and 1. We can apply the addition operation here:
8 +... | 18 | 0 | 20 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Expected a single '=' separating expression and result | [
[
"20"
],
[
""
],
[
"Step 1: 19 - 8 = 11\nStep 2: 11 + 8 = 19"
],
[
"Step 1: 89 - 8 = 81",
"81"
],
[
""
],
[
"19"
]
] | [
[
false
],
[
false
],
[
true
],
[
false,
false
],
[
false
],
[
false
]
] | [
[
"Expected a single '=' separating expression and result"
],
[
"No answer"
],
[
""
],
[
"Line uses unavailable numbers: Step 1: 89 - 8 = 81",
"Expected a single '=' separating expression and result"
],
[
"No answer"
],
[
"Expected a single '=' separating expression a... | [
[
""
],
[
""
],
[
""
],
[
"",
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's look at the first two numbers, 8 and 19. We can apply the subtraction operation here:\n 19 - 8 = 11\n\n2. Now, let's look at the last two numbers, 8 and 1. We can apply the addition operation he... | [
"20",
"",
"Step 1: 19 - 8 = 11\nStep 2: 11 + 8 = 19",
"81",
"",
"19"
] | [
false,
false,
true,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: 20\nWas Correct: False\nTarget: 19",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's look at the first two numbers, 8 and 1... | ||
19 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 12 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number. \n\nGiven numbers: 2, 8, 3, 2\n\nStep 1: We can group the numbers as follows (2 + 8) * (3 - 2)\n\nStep 2: Apply the operations\n\n(2 + 8) = 10\n\n(3 - 2) = 1\n\nStep 3: Mult... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number.
Given numbers: 2, 8, 3, 2
Step 1: We can group the numbers as follows (2 + 8) * (3 - 2)
Step 2: Apply the operations
(2 + 8) = 10
(3 - 2) = 1
Step 3: Multiply the results
10 * 1 = 10
Therefore... | 19 | 0 | \nStep 1: (2 + 8) * (3 - 2) = 10 * 1 = 10\n | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Could not evaluate line: \nStep 1: (2 + 8) * (3 - 2) = 10 * 1 = 10\n | [
[
"\\nStep 1: (2 + 8) * (3 - 2) = 10 * 1 = 10\\n"
],
[
"\\nStep 1: 2 + 8 = 10 (using -2*1 instead of +2*1 to achieve the target operation instead of the result)\\nStep 2: 10 * 3 = 30 (which can be seen as 30 - 2 to adjust for the grouping and achieve the final 12 outcome)\\n"
],
[
""
]
] | [
[
false
],
[
false
],
[
false
]
] | [
[
"Could not evaluate line: \\nStep 1: (2 + 8) * (3 - 2) = 10 * 1 = 10\\n"
],
[
"Could not evaluate line: \\nStep 1: 2 + 8 = 10 (using -2*1 instead of +2*1 to achieve the target operation instead of the result)\\nStep 2: 10 * 3 = 30 (which can be seen as 30 - 2 to adjust for the grouping and achieve the... | [
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number. \n\nGiven numbers: 2, 8, 3, 2\n\nStep 1: We can group the numbers as follows (2 + 8) * (3 - 2)\n\nStep 2: Apply the operations\n\n(2 + 8) = 10\n\n(3 - 2) = 1\n\nStep 3: Multiply the results\n\n10 ... | [
"\\nStep 1: (2 + 8) * (3 - 2) = 10 * 1 = 10\\n",
"\\nStep 1: 2 + 8 = 10 (using -2*1 instead of +2*1 to achieve the target operation instead of the result)\\nStep 2: 10 * 3 = 30 (which can be seen as 30 - 2 to adjust for the grouping and achieve the final 12 outcome)\\n",
""
] | [
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \\nStep 1: (2 + 8) * (3 - 2) = 10 * 1 = 10\\n\nWas Correct: False\nTarget: 12",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target num... | ||
20 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 20 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's group the numbers in a way that makes sense:\n [7, 18, 5, 24]\n\n2. We can start by multiplying the first two numbers, and then the last two:\n\n Multiplying 7 and 18 gi... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations accordingly:
1. First, let's group the numbers in a way that makes sense:
[7, 18, 5, 24]
2. We can start by multiplying the first two numbers, and then the last two:
Multiplying 7 and 18 gives us:
7 * 18 = 126
Now ... | 20 | 0 | \(7 * 18 + 5 * 24 = 126 + 120 = 246\) | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Expected a single '=' separating expression and result | [
[
"\\(7 * 18 + 5 * 24 = 126 + 120 = 246\\)"
],
[
"246"
],
[
"467"
],
[
"Step 1: Use 7 and 18. 7 * 18 = 126\nStep 2: Use 5 and 24. 5 * 24 = 120\nStep 3: Add the results. 126 + 120 = 246"
],
[
""
],
[
"467"
]
] | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"Expected a single '=' separating expression and result"
],
[
"Expected a single '=' separating expression and result"
],
[
"Expected a single '=' separating expression and result"
],
[
"Could not evaluate line: Step 1: Use 7 and 18. 7 * 18 = 126"
],
[
"No answer"
],
[
... | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's group the numbers in a way that makes sense:\n [7, 18, 5, 24]\n\n2. We can start by multiplying the first two numbers, and then the last two:\n\n Multiplying 7 and 18 gives us:\n 7 * 18 = 12... | [
"\\(7 * 18 + 5 * 24 = 126 + 120 = 246\\)",
"246",
"467",
"Step 1: Use 7 and 18. 7 * 18 = 126\nStep 2: Use 5 and 24. 5 * 24 = 120\nStep 3: Add the results. 126 + 120 = 246",
"",
"467"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \\(7 * 18 + 5 * 24 = 126 + 120 = 246\\)\nWas Correct: False\nTarget: 20",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's g... | ||
21 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 25 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by rearranging the numbers to make it easier to multiply. We can group 14 and 15 as 14 = 15 - 1 and then multiply everything by 15.\n\nHere's how it breaks down:\n\n\\[\n\\begin{align*}\n14 \\times 15 &= 15 \\times (15 - 1) \\\\\n&= 15 \\times 15 - 15 \\tim... | null | countdown | To solve the problem, we can start by rearranging the numbers to make it easier to multiply. We can group 14 and 15 as 14 = 15 - 1 and then multiply everything by 15.
Here's how it breaks down:
\[
\begin{align*}
14 \times 15 &= 15 \times (15 - 1) \\
&= 15 \times 15 - 15 \times 1 \\
&= 225 - 15 \\
&= 210 \\
\text{Now,... | 21 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | No answer | [
[
""
],
[
""
],
[
""
],
[
""
]
] | [
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"No answer"
],
[
"No answer"
],
[
"No answer"
],
[
"No answer"
]
] | [
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by rearranging the numbers to make it easier to multiply. We can group 14 and 15 as 14 = 15 - 1 and then multiply everything by 15.\n\nHere's how it breaks down:\n\n\\[\n\\begin{align*}\n14 \\times 15 &= 15 \\times (15 - 1) \\\\\n&= 15 \\times 15 - 15 \\times 1 \\\\\n&= 225 - 15 ... | [
"",
"",
"",
""
] | [
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \nWas Correct: False\nTarget: 25",
"role": "user"
},
{
"content": "To solve the problem, we can start by rearranging the numbers to make it easier to multiply. We can group 14 and 15 as 14 = 15 - 1 and then multiply everything... | |||
22 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 11 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. One common approach is to use the distributive property of multiplication over addition.\n\nGiven numbers: 5, 14, 6, 9\n\nStep 1: Group the numbers in a\u7a9d\u72b6\u7ed3\u6784\uff0c\u4f7f\u5... | null | countdown | To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. One common approach is to use the distributive property of multiplication over addition.
Given numbers: 5, 14, 6, 9
Step 1: Group the numbers in a窝状结构，使得内部运算符合基本的算术操作。
例如，我们可以这样排列：
(5 * 2) + (14 * 3) - (6 * 2) + (9 * ... | 22 | 0 | (10 + 42 - 12 + 9) = 46 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Expression does not equal stated result | [
[
"(10 + 42 - 12 + 9) = 46"
],
[
""
],
[
"Step 1: 5 * 14 = 70\n Step 2: 6 * 9 = 54\n 70 - 54 = 16\n Answer: 16"
],
[
""
],
[
""
],
[
""
]
] | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"Expression does not equal stated result"
],
[
"No answer"
],
[
"Missing '=' in line: Answer: 16"
],
[
"No answer"
],
[
"No answer"
],
[
"No answer"
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. One common approach is to use the distributive property of multiplication over addition.\n\nGiven numbers: 5, 14, 6, 9\n\nStep 1: Group the numbers in a窝状结构，使得内部运算符合基本的算术操作。\n例如，我们可以这样排列：\n(5 * 2) + (14 * 3) - (6 *... | [
"(10 + 42 - 12 + 9) = 46",
"",
"Step 1: 5 * 14 = 70\n Step 2: 6 * 9 = 54\n 70 - 54 = 16\n Answer: 16",
"",
"",
""
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: (10 + 42 - 12 + 9) = 46\nWas Correct: False\nTarget: 11",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. One common approach is to use the d... | ||
23 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 24 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number, which is 24 in this case.\n\n1. First, let's consider the multiplication and division operations. We can pair the numbers to create fractions that, when multiplied, will res... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number, which is 24 in this case.
1. First, let's consider the multiplication and division operations. We can pair the numbers to create fractions that, when multiplied, will result in 24.
2. One such pairi... | 23 | 0 | Step 1: 3 * 8 = 24
Step 2: 24 / 6 * 14 = 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Incorrect arithmetic in line: Step 2: 24 / 6 * 14 = 24 | [
[
"Step 1: 3 * 8 = 24\nStep 2: 24 / 6 * 14 = 24",
"Step 1: 3 * 8 / 6 * 14 = 24",
"Step 1: 3 * 8 = 24\nStep 2: 24 / (6 * 14) = 24"
],
[
""
],
[
""
],
[
"The problem cannot be solved using the given numbers and operation."
],
[
"Step 1: 3 * 8 = 24\nStep 2: 24 / (6 * 14) = 2... | [
[
false,
false,
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"Incorrect arithmetic in line: Step 2: 24 / 6 * 14 = 24",
"Incorrect arithmetic in line: Step 1: 3 * 8 / 6 * 14 = 24",
"Incorrect arithmetic in line: Step 2: 24 / (6 * 14) = 24"
],
[
"No answer"
],
[
"No answer"
],
[
"Expected a single '=' separating expression and result"
],... | [
[
"",
"",
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number, which is 24 in this case.\n\n1. First, let's consider the multiplication and division operations. We can pair the numbers to create fractions that, when multiplied, will result in 24. \n\n2. One s... | [
"Step 1: 3 * 8 = 24\nStep 2: 24 / (6 * 14) = 24",
"",
"",
"The problem cannot be solved using the given numbers and operation.",
"Step 1: 3 * 8 = 24\nStep 2: 24 / (6 * 14) = 24",
"24"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 3 * 8 = 24\nStep 2: 24 / (6 * 14) = 24\nWas Correct: False\nTarget: 24",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target nu... | ||
24 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 25 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by pairing the numbers in such a way that their product is closest to but less than the target number 25. We can then adjust the pairings to bring the product closer to 25.\n\nHere's how we can do it:\n\n1. Pair 13 and 2. The product is 26, which is too hig... | null | countdown | To solve the problem, we can start by pairing the numbers in such a way that their product is closest to but less than the target number 25. We can then adjust the pairings to bring the product closer to 25.
Here's how we can do it:
1. Pair 13 and 2. The product is 26, which is too high, so we need to adjust.
2. Chan... | 24 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | No answer | [
[
""
]
] | [
[
false
]
] | [
[
"No answer"
]
] | [
[
""
]
] | [
"To solve the problem, we can start by pairing the numbers in such a way that their product is closest to but less than the target number 25. We can then adjust the pairings to bring the product closer to 25.\n\nHere's how we can do it:\n\n1. Pair 13 and 2. The product is 26, which is too high, so we need to adjust... | [
""
] | [
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \nWas Correct: False\nTarget: 25",
"role": "user"
},
{
"content": "To solve the problem, we can start by pairing the numbers in such a way that their product is closest to but less than the target number 25. We can then adjust... | |||
25 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 22 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by breaking down the numbers into their individual digits and then using the allowed operations to combine them.\n\nFor the equation \\( A + B = C \\):\n\n- We have three numbers: 13 and 9, along with a target number of 22.\n- We can split the numbers into ... | null | countdown | To solve the problem, we can start by breaking down the numbers into their individual digits and then using the allowed operations to combine them.
For the equation \( A + B = C \):
- We have three numbers: 13 and 9, along with a target number of 22.
- We can split the numbers into digits for easier manipulation.
Le... | 25 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | No answer | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"No answer"
],
[
"No answer"
],
[
"No answer"
],
[
"No answer"
],
[
"No answer"
],
[
"No answer"
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by breaking down the numbers into their individual digits and then using the allowed operations to combine them.\n\nFor the equation \\( A + B = C \\):\n\n- We have three numbers: 13 and 9, along with a target number of 22.\n- We can split the numbers into digits for easier manip... | [
"",
"",
"",
"",
"",
""
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \nWas Correct: False\nTarget: 22",
"role": "user"
},
{
"content": "To solve the problem, we can start by breaking down the numbers into their individual digits and then using the allowed operations to combine them.\n\nFor the ... | |||
26 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 24 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's group the numbers in a way that makes sense:\n [16, 5, 7, 10]\n\n2. We can start by multiplying the first two numbers, and then the last two, as this often leads to the so... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations accordingly:
1. First, let's group the numbers in a way that makes sense:
[16, 5, 7, 10]
2. We can start by multiplying the first two numbers, and then the last two, as this often leads to the solution:
16 * 5 = 80
7 * 10... | 26 | 0 | 94 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Expected a single '=' separating expression and result | [
[
"94",
"32"
],
[
"159"
],
[
""
]
] | [
[
false,
false
],
[
false
],
[
false
]
] | [
[
"Expected a single '=' separating expression and result",
"Expected a single '=' separating expression and result"
],
[
"Expected a single '=' separating expression and result"
],
[
"No answer"
]
] | [
[
"",
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's group the numbers in a way that makes sense:\n [16, 5, 7, 10]\n\n2. We can start by multiplying the first two numbers, and then the last two, as this often leads to the solution:\n\n 16 * 5 = ... | [
"32",
"159",
""
] | [
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: 32\nWas Correct: False\nTarget: 24",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's group the numbers in a way that makes ... | ||
27 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 16 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's group the numbers and apply the operations:\n\n 19 - 24 = -5\n 18 * 2 = 36\n\n2. Now, let's use the results from the previous step and apply the operations again:\n\n ... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations accordingly:
1. First, let's group the numbers and apply the operations:
19 - 24 = -5
18 * 2 = 36
2. Now, let's use the results from the previous step and apply the operations again:
-5 + 36 = 31
Therefore, the final... | 27 | 0 | 31 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Expected a single '=' separating expression and result | [
[
"31"
],
[
""
]
] | [
[
false
],
[
false
]
] | [
[
"Expected a single '=' separating expression and result"
],
[
"No answer"
]
] | [
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's group the numbers and apply the operations:\n\n 19 - 24 = -5\n 18 * 2 = 36\n\n2. Now, let's use the results from the previous step and apply the operations again:\n\n -5 + 36 = 31\n\nTher... | [
"31",
""
] | [
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: 31\nWas Correct: False\nTarget: 16",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's group the numbers and apply the operat... | ||
28 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 20 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's look at the last two numbers: 17 and 6. We can try to make 6 the divisor to simplify the operation:\n2. 17 \u00f7 6 = 2 remainder 5\n\n3. Now, let's add the result to the pr... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations accordingly:
1. First, let's look at the last two numbers: 17 and 6. We can try to make 6 the divisor to simplify the operation:
2. 17 ÷ 6 = 2 remainder 5
3. Now, let's add the result to the previous group of numbers, which is 17. ... | 28 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | No answer | [
[
""
],
[
"1092"
],
[
""
],
[
"1092"
],
[
""
],
[
"816"
]
] | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"No answer"
],
[
"Expected a single '=' separating expression and result"
],
[
"No answer"
],
[
"Expected a single '=' separating expression and result"
],
[
"No answer"
],
[
"Expected a single '=' separating expression and result"
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's look at the last two numbers: 17 and 6. We can try to make 6 the divisor to simplify the operation:\n2. 17 ÷ 6 = 2 remainder 5\n\n3. Now, let's add the result to the previous group of numbers, whi... | [
"",
"1092",
"",
"1092",
"",
"816"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \nWas Correct: False\nTarget: 20",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's look at the last two numbers: 17 and 6. ... | |||
29 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 12 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\nGiven numbers: 3, 20, 3, 22\n\nStep 1: We can group the numbers as follows:\n(3 * 20) + (3 * 22) = 120 + 66\n\nStep 2: Now, let's perform the addition:\n120 + 66 = 186\n\nSo, the final answ... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations accordingly:
Given numbers: 3, 20, 3, 22
Step 1: We can group the numbers as follows:
(3 * 20) + (3 * 22) = 120 + 66
Step 2: Now, let's perform the addition:
120 + 66 = 186
So, the final answer is 186.
Therefore, the answer in t... | 29 | 0 | Step 1: (3 * 20) + (3 * 22) = 120 + 66
Step 2: 120 + 66 = 186 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Could not evaluate line: Step 1: (3 * 20) + (3 * 22) = 120 + 66 | [
[
"Step 1: (3 * 20) + (3 * 22) = 120 + 66\nStep 2: 120 + 66 = 186"
],
[
"Step 1: (3 * 22) + (3 * 20) = 66 + 60 = 126"
],
[
"60"
],
[
"92"
],
[
""
],
[
"186"
]
] | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"Could not evaluate line: Step 1: (3 * 20) + (3 * 22) = 120 + 66"
],
[
"Could not evaluate line: Step 1: (3 * 22) + (3 * 20) = 66 + 60 = 126"
],
[
"Expected a single '=' separating expression and result"
],
[
"Expected a single '=' separating expression and result"
],
[
"No ans... | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\nGiven numbers: 3, 20, 3, 22\n\nStep 1: We can group the numbers as follows:\n(3 * 20) + (3 * 22) = 120 + 66\n\nStep 2: Now, let's perform the addition:\n120 + 66 = 186\n\nSo, the final answer is 186.\n\nTherefore... | [
"Step 1: (3 * 20) + (3 * 22) = 120 + 66\nStep 2: 120 + 66 = 186",
"Step 1: (3 * 22) + (3 * 20) = 66 + 60 = 126",
"60",
"92",
"",
"186"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: (3 * 20) + (3 * 22) = 120 + 66\nStep 2: 120 + 66 = 186\nWas Correct: False\nTarget: 12",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the operations accordingl... | ||
30 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 17 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number, which is 17 in this case.\n\n1. First, let's consider the numbers 11 and 8. We can try to make 17 by combining them using the operations we have.\n\n2. We can start with 11 ... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number, which is 17 in this case.
1. First, let's consider the numbers 11 and 8. We can try to make 17 by combining them using the operations we have.
2. We can start with 11 and 8, and we can use the remain... | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | No answer | [
[
""
]
] | [
[
false
]
] | [
[
"No answer"
]
] | [
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number, which is 17 in this case.\n\n1. First, let's consider the numbers 11 and 8. We can try to make 17 by combining them using the operations we have.\n\n2. We can start with 11 and 8, and we can use t... | [
""
] | [
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \nWas Correct: False\nTarget: 17",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number, which is 17 in this case.\n\n1. First, l... | |||
31 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 14 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. One common approach is to try to express the target number as a sum or difference of the given numbers. Let's apply this method step by step.\n\nGiven numbers: 3, 18, 7, 17\n\nStep 1: Group t... | null | countdown | To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. One common approach is to try to express the target number as a sum or difference of the given numbers. Let's apply this method step by step.
Given numbers: 3, 18, 7, 17
Step 1: Group the numbers.
We can group them as... | 31 | 0 | Step 1: 3*2=6
Step 2: 7*2=14
Step 3: 6 + 14 = 28 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Line uses unavailable numbers: Step 1: 3*2=6 | [
[
"Step 1: 3*2=6\nStep 2: 7*2=14\nStep 3: 6 + 14 = 28"
],
[
"Step 1: 3 + 17 = 20\nStep 2: -7 - 18 = -25"
],
[
"Step 1: 3 + 17 = 20\nStep 2: -7 - 18 = -25",
"-5"
],
[
"Step 1: 3 * 2 = 6\nStep 2: 7 * 2 = 14\nStep 3: 6 + 14 = 20"
],
[
"3 + 17 - 7 - 18 = 0"
],
[
"3 + 17 -... | [
[
false
],
[
false
],
[
false,
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"Line uses unavailable numbers: Step 1: 3*2=6"
],
[
"Incorrect final answer"
],
[
"Incorrect final answer",
"Expected a single '=' separating expression and result"
],
[
"Line uses unavailable numbers: Step 1: 3 * 2 = 6"
],
[
"Expression does not equal stated result"
],
... | [
[
""
],
[
""
],
[
"",
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. One common approach is to try to express the target number as a sum or difference of the given numbers. Let's apply this method step by step.\n\nGiven numbers: 3, 18, 7, 17\n\nStep 1: Group the numbers.\nWe can gro... | [
"Step 1: 3*2=6\nStep 2: 7*2=14\nStep 3: 6 + 14 = 28",
"Step 1: 3 + 17 = 20\nStep 2: -7 - 18 = -25",
"-5",
"Step 1: 3 * 2 = 6\nStep 2: 7 * 2 = 14\nStep 3: 6 + 14 = 20",
"3 + 17 - 7 - 18 = 0",
"3 + 17 - 7 - 18 = 27"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 3*2=6\nStep 2: 7*2=14\nStep 3: 6 + 14 = 28\nWas Correct: False\nTarget: 14",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. One comm... | ||
32 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 18 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem using the numbers 6, 15, and 18, we can break it down into simpler steps:\n\n1. **Adding the First Two Numbers**: \n - We can add 6 and 15.\n - \\( 6 + 15 = 21 \\).\n\n2. **Using the Result with the Third Number**:\n - Now, we take the result 21 and add the next nu... | null | countdown | To solve the problem using the numbers 6, 15, and 18, we can break it down into simpler steps:
1. **Adding the First Two Numbers**:
- We can add 6 and 15.
- \( 6 + 15 = 21 \).
2. **Using the Result with the Third Number**:
- Now, we take the result 21 and add the next number 18.
- \( 21 + 18 = 39 \).
So... | 32 | 0 | \nStep 1: 6 + 15 = 21;<br/>Step 2: 21 + 18 = 39;<br/>Step 3: 39 × 39 = 1441;<br/> | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Could not evaluate line: \nStep 1: 6 + 15 = 21;<br/>Step 2: 21 + 18 = 39;<br/>Step 3: 39 × 39 = 1441;<br/> | [
[
"\\nStep 1: 6 + 15 = 21;<br/>Step 2: 21 + 18 = 39;<br/>Step 3: 39 × 39 = 1441;<br/>"
],
[
""
],
[
""
],
[
""
],
[
""
],
[
"\\nStep 1: 6 + 15 = 21;<br/>Step 2: 21 + 18 = 39;<br/>The final answer is 1441;<br/>"
]
] | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"Could not evaluate line: \\nStep 1: 6 + 15 = 21;<br/>Step 2: 21 + 18 = 39;<br/>Step 3: 39 × 39 = 1441;<br/>"
],
[
"No answer"
],
[
"No answer"
],
[
"No answer"
],
[
"No answer"
],
[
"Could not evaluate line: \\nStep 1: 6 + 15 = 21;<br/>Step 2: 21 + 18 = 39;<br/>The fin... | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem using the numbers 6, 15, and 18, we can break it down into simpler steps:\n\n1. **Adding the First Two Numbers**: \n - We can add 6 and 15.\n - \\( 6 + 15 = 21 \\).\n\n2. **Using the Result with the Third Number**:\n - Now, we take the result 21 and add the next number 18.\n - \\( 21 +... | [
"\\nStep 1: 6 + 15 = 21;<br/>Step 2: 21 + 18 = 39;<br/>Step 3: 39 × 39 = 1441;<br/>",
"",
"",
"",
"",
"\\nStep 1: 6 + 15 = 21;<br/>Step 2: 21 + 18 = 39;<br/>The final answer is 1441;<br/>"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \\nStep 1: 6 + 15 = 21;<br/>Step 2: 21 + 18 = 39;<br/>Step 3: 39 × 39 = 1441;<br/>\nWas Correct: False\nTarget: 18",
"role": "user"
},
{
"content": "To solve the problem using the numbers 6, 15, and 18, we can break it down in... | ||
33 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 19 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's add the two groups of three numbers each:\n (21 + 17) + (22 + 1)\n\n2. Let's calculate the sum within each parentheses:\n 38 + 23\n\n3. Now, let's add these two results ... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations accordingly:
1. First, let's add the two groups of three numbers each:
(21 + 17) + (22 + 1)
2. Let's calculate the sum within each parentheses:
38 + 23
3. Now, let's add these two results together:
61
So, the equation th... | 33 | 0 | Step 1: 21 + 17 = 38
Step 2: 22 + 1 = 23
Step 3: 38 + 23 = 61 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Incorrect final answer | [
[
"Step 1: 21 + 17 = 38\nStep 2: 22 + 1 = 23\nStep 3: 38 + 23 = 61",
"61"
],
[
""
],
[
"Step 1: 21 + 17 = 38\nStep 2: 22 + 1 = 23\nStep 3: 38 + 23 = 61 (This is the incorrect approach, back to step 1)</think>\n<final_answer>\nStep 1: 21 + 17 = 38\nStep 2: 22 + 1 = 23\nStep 3: 38 + 22 = 60",
... | [
[
false,
false
],
[
false
],
[
false,
false
],
[
false
],
[
false
],
[
false,
false
]
] | [
[
"Incorrect final answer",
"Expected a single '=' separating expression and result"
],
[
"No answer"
],
[
"Could not evaluate line: Step 3: 38 + 23 = 61 (This is the incorrect approach, back to step 1)</think>",
"Expected a single '=' separating expression and result"
],
[
"Expe... | [
[
"",
""
],
[
""
],
[
"",
""
],
[
""
],
[
""
],
[
"",
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's add the two groups of three numbers each:\n (21 + 17) + (22 + 1)\n\n2. Let's calculate the sum within each parentheses:\n 38 + 23\n\n3. Now, let's add these two results together:\n 61\n\nSo,... | [
"61",
"",
"60",
"19",
"",
"61"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: 61\nWas Correct: False\nTarget: 19",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's add the two groups of three numbers ea... | ||
34 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 19 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can use the numbers 7, 23, and 11 by applying the basic arithmetic operations: +, -, *, and /. We need to use each number only once in the equation.\n\nStep 1: Multiply 23 and 11.\n23 * 11 = 253\n\nStep 2: Now we need to add 7 to the result from step 1.\n253 + 7 = 26... | null | countdown | To solve the problem, we can use the numbers 7, 23, and 11 by applying the basic arithmetic operations: +, -, *, and /. We need to use each number only once in the equation.
Step 1: Multiply 23 and 11.
23 * 11 = 253
Step 2: Now we need to add 7 to the result from step 1.
253 + 7 = 260
So, the equation that equals 19... | 34 | 0 | 23 * 11 + 7 = 260 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Incorrect final answer | [
[
"23 * 11 + 7 = 260"
],
[
"",
"8 * 3 + 5 = 29"
],
[
""
],
[
""
],
[
"23 * 11 - 7 = 253"
],
[
"23 * 11 / 11 + 7 = 30"
]
] | [
[
false
],
[
false,
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"Incorrect final answer"
],
[
"No answer",
"Expression uses an unavailable or repeated number"
],
[
"No answer"
],
[
"No answer"
],
[
"Expression does not equal stated result"
],
[
"Expression uses an unavailable or repeated number"
]
] | [
[
""
],
[
"",
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can use the numbers 7, 23, and 11 by applying the basic arithmetic operations: +, -, *, and /. We need to use each number only once in the equation.\n\nStep 1: Multiply 23 and 11.\n23 * 11 = 253\n\nStep 2: Now we need to add 7 to the result from step 1.\n253 + 7 = 260\n\nSo, the equation t... | [
"23 * 11 + 7 = 260",
"8 * 3 + 5 = 29",
"",
"",
"23 * 11 - 7 = 253",
"23 * 11 / 11 + 7 = 30"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: 23 * 11 + 7 = 260\nWas Correct: False\nTarget: 19",
"role": "user"
},
{
"content": "To solve the problem, we can use the numbers 7, 23, and 11 by applying the basic arithmetic operations: +, -, *, and /. We need to use each nu... | ||
35 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 16 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's group the numbers: [9, 17, 16, 9]\n\n2. We can start by adding the first two numbers: 9 + 17 = 26\n\n3. Now, let's add the next number to the result: 26 + 16 = 42\n\n4. Fina... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations accordingly:
1. First, let's group the numbers: [9, 17, 16, 9]
2. We can start by adding the first two numbers: 9 + 17 = 26
3. Now, let's add the next number to the result: 26 + 16 = 42
4. Finally, add the last number to the resu... | 35 | 0 | 51 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Expected a single '=' separating expression and result | [
[
"51"
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"Expected a single '=' separating expression and result"
],
[
"No answer"
],
[
"No answer"
],
[
"No answer"
],
[
"No answer"
],
[
"No answer"
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's group the numbers: [9, 17, 16, 9]\n\n2. We can start by adding the first two numbers: 9 + 17 = 26\n\n3. Now, let's add the next number to the result: 26 + 16 = 42\n\n4. Finally, add the last numbe... | [
"51",
"",
"",
"",
"",
""
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: 51\nWas Correct: False\nTarget: 16",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's group the numbers: [9, 17, 16, 9]\n\n2... | ||
36 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 11 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number. \n\nGiven numbers: 9, 6, 24, 15\n\nStep 1: Let's try to group them to get 11. One way to do this is by using the addition operation.\n\nWe can add 9 and 2 to get 11:\n\n[9, ... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number.
Given numbers: 9, 6, 24, 15
Step 1: Let's try to group them to get 11. One way to do this is by using the addition operation.
We can add 9 and 2 to get 11:
[9, 6, 24, 15] -> Add 9 and 2
[9, 6, 24... | 36 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | No answer | [
[
""
]
] | [
[
false
]
] | [
[
"No answer"
]
] | [
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number. \n\nGiven numbers: 9, 6, 24, 15\n\nStep 1: Let's try to group them to get 11. One way to do this is by using the addition operation.\n\nWe can add 9 and 2 to get 11:\n\n[9, 6, 24, 15] -> Add 9 and... | [
""
] | [
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \nWas Correct: False\nTarget: 11",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number. \n\nGiven numbers: 9, 6, 24, 15\n\nStep ... | |||
37 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 23 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's try to group the numbers in such a way that we can isolate the variable step. We can start by multiplying the first two numbers and then adjusting for the remaining numbers.... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations accordingly:
1. First, let's try to group the numbers in such a way that we can isolate the variable step. We can start by multiplying the first two numbers and then adjusting for the remaining numbers.
We have:
\[ 12 \times 19 \ti... | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | No answer | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"No answer"
],
[
"No answer"
],
[
"No answer"
],
[
"No answer"
],
[
"No answer"
],
[
"No answer"
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's try to group the numbers in such a way that we can isolate the variable step. We can start by multiplying the first two numbers and then adjusting for the remaining numbers.\n\nWe have:\n\\[ 12 \\... | [
"",
"",
"",
"",
"",
""
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \nWas Correct: False\nTarget: 23",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's try to group the numbers in such a way t... | |||
38 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 23 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number 23.\n\n1. First, let's try to break down the number 23 into parts that we can multiply and then distribute the remaining numbers:\n\n<think>\nStep 1: Distribute the 14 over t... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number 23.
1. First, let's try to break down the number 23 into parts that we can multiply and then distribute the remaining numbers:
<think>
Step 1: Distribute the 14 over the 8 and 6.
Step 2: (14 * 8) + (1... | 38 | 0 | 14 * 8 + 14 * 6 = 23 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Expression does not equal stated result | [
[
"14 * 8 + 14 * 6 = 23",
"8 * 2 = 16",
"14 * 8 + 14 * 6 = 112 + 84 = 196",
"14 * 8 = 112",
"14 * 6 = 84",
"112 + 84 = 196"
],
[
"14 * 8 + 14 * 6 = 196"
],
[
"14 * (8 + 6) = 196"
],
[
""
],
[
""
],
[
"8 * 14 + 6 * 14 = 112 + 84 = 196"
]
] | [
[
false,
false,
false,
false,
false,
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"Expression does not equal stated result",
"Expression uses an unavailable or repeated number",
"Expected a single '=' separating expression and result",
"Incorrect final answer",
"Incorrect final answer",
"Expression uses an unavailable or repeated number"
],
[
"Expression uses an... | [
[
"",
"",
"",
"",
"",
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number 23.\n\n1. First, let's try to break down the number 23 into parts that we can multiply and then distribute the remaining numbers:\n\n<think>\nStep 1: Distribute the 14 over the 8 and 6.\nStep 2: (1... | [
"112 + 84 = 196",
"14 * 8 + 14 * 6 = 196",
"14 * (8 + 6) = 196",
"",
"",
"8 * 14 + 6 * 14 = 112 + 84 = 196"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: 112 + 84 = 196\nWas Correct: False\nTarget: 23",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number 23.\n\n1. First, let's try ... | ||
39 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 10 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number. \n\nGiven numbers: 8, 9, 6, 23\n\nStep 1: Let's try to manipulate these numbers to get as close as possible to the target number 10.\n\nWe can start by adding the two larger... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number.
Given numbers: 8, 9, 6, 23
Step 1: Let's try to manipulate these numbers to get as close as possible to the target number 10.
We can start by adding the two larger numbers, 9 and 6, because their s... | 39 | 0 | Step 1: 9 + 6 = 15 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Incorrect final answer | [
[
"Step 1: 9 + 6 = 15",
"Step 2: 15 - 5 = 10",
"8 * 9 + 6 - 23 = 10"
],
[
"8 * 9 = 72\n72 + 6 = 78",
"8 * 9 + 6 = 78"
],
[
"8 * 9 + 6 - 23 = 10"
],
[
"8 * 9 + 6 - 23 = 10"
],
[
""
],
[
""
]
] | [
[
false,
false,
false
],
[
false,
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"Incorrect final answer",
"Line uses unavailable numbers: Step 2: 15 - 5 = 10",
"Expression does not equal stated result"
],
[
"Expected a single '=' separating expression and result",
"Incorrect final answer"
],
[
"Expression does not equal stated result"
],
[
"Expression ... | [
[
"",
"",
""
],
[
"",
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number. \n\nGiven numbers: 8, 9, 6, 23\n\nStep 1: Let's try to manipulate these numbers to get as close as possible to the target number 10.\n\nWe can start by adding the two larger numbers, 9 and 6, beca... | [
"8 * 9 + 6 - 23 = 10",
"8 * 9 + 6 = 78",
"8 * 9 + 6 - 23 = 10",
"8 * 9 + 6 - 23 = 10",
"",
""
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: 8 * 9 + 6 - 23 = 10\nWas Correct: False\nTarget: 10",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number. \n\nGiven numbers: 8,... | ||
40 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 13 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by arranging the numbers [15, 12, 10] in a way that allows us to use each number only once and combine them using the operations +, -, *, and /. \n\nOne possible solution is:\n15 * 10 - 12 = 135 - 12 = 123\n\nSo, the final answer is:\n<final_answer>\nStep 1... | null | countdown | To solve the problem, we can start by arranging the numbers [15, 12, 10] in a way that allows us to use each number only once and combine them using the operations +, -, *, and /.
One possible solution is:
15 * 10 - 12 = 135 - 12 = 123
So, the final answer is:
<final_answer>
Step 1: 15 * 10 = 150
Step 2: 150 - 12 = ... | 40 | 0 | Step 1: 15 * 10 = 150
Step 2: 150 - 12 = 138 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Incorrect final answer | [
[
"Step 1: 15 * 10 = 150\nStep 2: 150 - 12 = 138"
],
[
"Step 1: 15 * 10 = 150\nStep 2: 150 - 12 = 138"
],
[
"138"
],
[
""
],
[
""
],
[
"Step 1: 15 * 10 = 150\nStep 2: 150 - 12 = 138"
]
] | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"Incorrect final answer"
],
[
"Incorrect final answer"
],
[
"Expected a single '=' separating expression and result"
],
[
"No answer"
],
[
"No answer"
],
[
"Incorrect final answer"
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by arranging the numbers [15, 12, 10] in a way that allows us to use each number only once and combine them using the operations +, -, *, and /. \n\nOne possible solution is:\n15 * 10 - 12 = 135 - 12 = 123\n\nSo, the final answer is:\n<final_answer>\nStep 1: 15 * 10 = 150\nStep 2... | [
"Step 1: 15 * 10 = 150\nStep 2: 150 - 12 = 138",
"Step 1: 15 * 10 = 150\nStep 2: 150 - 12 = 138",
"138",
"",
"",
"Step 1: 15 * 10 = 150\nStep 2: 150 - 12 = 138"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 15 * 10 = 150\nStep 2: 150 - 12 = 138\nWas Correct: False\nTarget: 13",
"role": "user"
},
{
"content": "To solve the problem, we can start by arranging the numbers [15, 12, 10] in a way that allows us to use each numbe... | ||
41 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 17 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number, which is 17 in this case.\n\n1. First, let's consider the multiplication and addition operations. We can try to create larger numbers with smaller operations.\n\n2. We can s... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number, which is 17 in this case.
1. First, let's consider the multiplication and addition operations. We can try to create larger numbers with smaller operations.
2. We can start by multiplying the first tw... | 41 | 0 | Step 1: 9 * 2 = 18
Step 2: 4 + 20 = 24
Step 3: 18 + 24 = 42 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Incorrect final answer | [
[
"Step 1: 9 * 2 = 18\nStep 2: 4 + 20 = 24\nStep 3: 18 + 24 = 42",
"Step 1: 9 - 20 = -11\nStep 2: 9 + 20 = 29\nStep 3: 9 * 2 = 18\nStep 4: 18 + 180 = 198",
"Step 1: 9 + 2 = 11\nStep 2: 4 - 20 = -16\nStep 3: Combine the results: 11 - 16 = -5",
"Step 1: 9 * 2 = 18\nStep 2: 4 - 20 = -16\nStep 3: Add th... | [
[
false,
false,
false,
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"Incorrect final answer",
"Line uses unavailable numbers: Step 2: 9 + 20 = 29",
"Could not evaluate line: Step 3: Combine the results: 11 - 16 = -5",
"Could not evaluate line: Step 3: Add the results: 18 + 16 = 34"
],
[
"No answer"
],
[
"No answer"
],
[
"No answer"
],
[... | [
[
"",
"",
"",
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number, which is 17 in this case.\n\n1. First, let's consider the multiplication and addition operations. We can try to create larger numbers with smaller operations.\n\n2. We can start by multiplying the... | [
"Step 1: 9 * 2 = 18\nStep 2: 4 - 20 = -16\nStep 3: Add the results: 18 + 16 = 34",
"",
"",
"",
"Step 1: Use 9 * 2 = 18",
"Use 9 * 2 = 18"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 9 * 2 = 18\nStep 2: 4 - 20 = -16\nStep 3: Add the results: 18 + 16 = 34\nWas Correct: False\nTarget: 17",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the oper... | ||
42 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 23 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can break it down into simpler steps:\n\n1. First, let's multiply the two larger numbers: 14 and 20.\n - 14 * 20 = 280\n\n2. Now, we need to multiply the result by the third number, 11.\n - 280 * 11 = 3080\n\nSo, the final step is to multiply 280 by 11, which giv... | null | countdown | To solve the problem, we can break it down into simpler steps:
1. First, let's multiply the two larger numbers: 14 and 20.
- 14 * 20 = 280
2. Now, we need to multiply the result by the third number, 11.
- 280 * 11 = 3080
So, the final step is to multiply 280 by 11, which gives us 3080.
Therefore, the answer i... | 42 | 0 | Step 1: 14 * 20 = 280
Step 2: 3080 = 280 * 11 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Could not evaluate line: Step 2: 3080 = 280 * 11 | [
[
"Step 1: 14 * 20 = 280\nStep 2: 3080 = 280 * 11"
],
[
""
],
[
""
],
[
"Step 1: 11 * 14 = 154"
],
[
""
],
[
""
]
] | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"Could not evaluate line: Step 2: 3080 = 280 * 11"
],
[
"No answer"
],
[
"No answer"
],
[
"Incorrect final answer"
],
[
"No answer"
],
[
"No answer"
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can break it down into simpler steps:\n\n1. First, let's multiply the two larger numbers: 14 and 20.\n - 14 * 20 = 280\n\n2. Now, we need to multiply the result by the third number, 11.\n - 280 * 11 = 3080\n\nSo, the final step is to multiply 280 by 11, which gives us 3080.\n\nTherefor... | [
"Step 1: 14 * 20 = 280\nStep 2: 3080 = 280 * 11",
"",
"",
"Step 1: 11 * 14 = 154",
"",
""
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 14 * 20 = 280\nStep 2: 3080 = 280 * 11\nWas Correct: False\nTarget: 23",
"role": "user"
},
{
"content": "To solve the problem, we can break it down into simpler steps:\n\n1. First, let's multiply the two larger numbers... | ||
43 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 13 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can use the numbers 14 and 1, and the operations +, -, *, and /. \n\nStep 1: We can start by adding 14 and 1. \n\n14 + 1 = 15\n\nHowever, we need to use each number only once, and we have not yet used the number 15. \n\nStep 2: Let's try multiplying 14 by 1.\n\n14 * ... | null | countdown | To solve the problem, we can use the numbers 14 and 1, and the operations +, -, *, and /.
Step 1: We can start by adding 14 and 1.
14 + 1 = 15
However, we need to use each number only once, and we have not yet used the number 15.
Step 2: Let's try multiplying 14 by 1.
14 * 1 = 14
Now, we have used the number 1... | 43 | 0 | 14 * 1 = 13 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Expression does not equal stated result | [
[
"14 * 1 = 13"
],
[
""
],
[
""
],
[
"14 * 1 = 13",
"number1 (operation1 + number2) operation3 = number3"
],
[
"",
"Step 1: 14 * 1 = 14 (do not simplify)\nStep 2: Simplify 14 - 1 = 13"
],
[
"14 - 1 = 13"
]
] | [
[
false
],
[
false
],
[
false
],
[
false,
false
],
[
false,
false
],
[
true
]
] | [
[
"Expression does not equal stated result"
],
[
"No answer"
],
[
"No answer"
],
[
"Expression does not equal stated result",
"Could not evaluate expression"
],
[
"No answer",
"Could not evaluate line: Step 1: 14 * 1 = 14 (do not simplify)"
],
[
""
]
] | [
[
""
],
[
""
],
[
""
],
[
"",
""
],
[
"",
""
],
[
""
]
] | [
"To solve the problem, we can use the numbers 14 and 1, and the operations +, -, *, and /. \n\nStep 1: We can start by adding 14 and 1. \n\n14 + 1 = 15\n\nHowever, we need to use each number only once, and we have not yet used the number 15. \n\nStep 2: Let's try multiplying 14 by 1.\n\n14 * 1 = 14\n\nNow, we have ... | [
"14 * 1 = 13",
"",
"",
"number1 (operation1 + number2) operation3 = number3",
"Step 1: 14 * 1 = 14 (do not simplify)\nStep 2: Simplify 14 - 1 = 13",
"14 - 1 = 13"
] | [
false,
false,
false,
false,
false,
true
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: 14 * 1 = 13\nWas Correct: False\nTarget: 13",
"role": "user"
},
{
"content": "To solve the problem, we can use the numbers 14 and 1, and the operations +, -, *, and /. \n\nStep 1: We can start by adding 14 and 1. \n\n14 + 1 = ... | ||
44 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 16 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\nGiven numbers: 22, 4, 24, 10\n\nStep 1: Let's first look at the first two numbers, 22 and 4. \n\nWe can apply the multiplication operation here:\n\n22 * 4 = 88\n\nStep 2: Now, let's apply t... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations accordingly:
Given numbers: 22, 4, 24, 10
Step 1: Let's first look at the first two numbers, 22 and 4.
We can apply the multiplication operation here:
22 * 4 = 88
Step 2: Now, let's apply the subtraction operation using the nex... | 44 | 0 | Step 1: 22 * 4 = 88
Step 2: 24 - 10 = 14
Step 3: 88 + 14 = 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Incorrect final answer | [
[
"Step 1: 22 * 4 = 88\nStep 2: 24 - 10 = 14\nStep 3: 88 + 14 = 102"
],
[
"Step 1: 22 + 4 = 26\nStep 2: 26 * 4 = 104\nStep 3: 104 - 10 = 94"
],
[
"Step 1: 22 / 4 = 5.5\nStep 2: 5.5 * 24 = 132\nStep 3: 132 - 10 = 122"
],
[
"Step 1: 22 / 4 = 5.5\nStep 2: 5 * 24 = 120\nStep 3: 120 - 10 = 11... | [
[
false
],
[
false
],
[
false
],
[
false,
false,
false
],
[
false
],
[
false
]
] | [
[
"Incorrect final answer"
],
[
"Line uses unavailable numbers: Step 2: 26 * 4 = 104"
],
[
"Line uses unavailable numbers: Step 2: 5.5 * 24 = 132"
],
[
"Line uses unavailable numbers: Step 2: 5 * 24 = 120",
"Line uses unavailable numbers: Step 2: 5 * 24 = 120",
"Missing '=' in li... | [
[
""
],
[
""
],
[
""
],
[
"",
"",
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\nGiven numbers: 22, 4, 24, 10\n\nStep 1: Let's first look at the first two numbers, 22 and 4. \n\nWe can apply the multiplication operation here:\n\n22 * 4 = 88\n\nStep 2: Now, let's apply the subtraction operatio... | [
"Step 1: 22 * 4 = 88\nStep 2: 24 - 10 = 14\nStep 3: 88 + 14 = 102",
"Step 1: 22 + 4 = 26\nStep 2: 26 * 4 = 104\nStep 3: 104 - 10 = 94",
"Step 1: 22 / 4 = 5.5\nStep 2: 5.5 * 24 = 132\nStep 3: 132 - 10 = 122",
"The numbers you have are not sufficient to get the result 16. Please check them.\n\nBut according to ... | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 22 * 4 = 88\nStep 2: 24 - 10 = 14\nStep 3: 88 + 14 = 102\nWas Correct: False\nTarget: 16",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the operations accordin... | ||
45 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 19 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers in a way that makes sense arithmetic-wise. We can split the numbers [7, 14, 22, 13] and use basic arithmetic operations to combine them.\n\nHere's a step-by-step breakdown:\n\n1. **Grouping the Numbers**: Let's group the numbers as [... | null | countdown | To solve the problem, we can start by grouping the numbers in a way that makes sense arithmetic-wise. We can split the numbers [7, 14, 22, 13] and use basic arithmetic operations to combine them.
Here's a step-by-step breakdown:
1. **Grouping the Numbers**: Let's group the numbers as [7, 14] and [22, 13] since these ... | 45 | 0 | \boxed{19} | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Expected a single '=' separating expression and result | [
[
"\\boxed{19}"
],
[
""
],
[
"\\boxed{result>",
"\\boxed{result>",
"\\boxed{result>",
"\\boxed{result>",
"\\boxed{result>",
"\\boxed{result>",
"\\boxed{result>",
"\\boxed{result>",
"\\boxed{result>",
"\\boxed{result>",
"\\boxed{result>",
"\\boxed{resul... | [
[
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,
... | [
[
"Expected a single '=' separating expression and result"
],
[
"No answer"
],
[
"Expected a single '=' separating expression and result",
"Expected a single '=' separating expression and result",
"Expected a single '=' separating expression and result",
"Expected a single '=' separa... | [
[
""
],
[
""
],
[
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
... | [
"To solve the problem, we can start by grouping the numbers in a way that makes sense arithmetic-wise. We can split the numbers [7, 14, 22, 13] and use basic arithmetic operations to combine them.\n\nHere's a step-by-step breakdown:\n\n1. **Grouping the Numbers**: Let's group the numbers as [7, 14] and [22, 13] sin... | [
"\\boxed{19}",
"",
"\\boxed{result>"
] | [
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \\boxed{19}\nWas Correct: False\nTarget: 19",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers in a way that makes sense arithmetic-wise. We can split the numbers [7, 14, 22, 13] and u... | ||
46 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 15 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by pairing the numbers in such a way that their difference is 15. We can pair 10 and 13 as they both are 3 more than 7, which is a prime number. Then we can pair the remaining numbers with 18 as it is 6 more than 12, which is also a prime number. Here's how... | null | countdown | To solve the problem, we can start by pairing the numbers in such a way that their difference is 15. We can pair 10 and 13 as they both are 3 more than 7, which is a prime number. Then we can pair the remaining numbers with 18 as it is 6 more than 12, which is also a prime number. Here's how the pairing could look:
(1... | 46 | 0 | \(10 + 13 - 3 * 18 + 5 = 15\) | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Could not evaluate expression | [
[
"\\(10 + 13 - 3 * 18 + 5 = 15\\)"
],
[
"0"
],
[
""
],
[
"0"
],
[
""
],
[
"Step 1: Pair 10 and 13 to get 15.\nStep 2: Pair 18 and 5 to get 15.\nStep 3: Combine the results from steps 1 and 2.",
"\\(10 + 13 - 3 \\times 18 + 5 = 15\\)"
]
] | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false,
false
]
] | [
[
"Could not evaluate expression"
],
[
"Expected a single '=' separating expression and result"
],
[
"No answer"
],
[
"Expected a single '=' separating expression and result"
],
[
"No answer"
],
[
"Missing '=' in line: Step 1: Pair 10 and 13 to get 15.",
"Could not ev... | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
"",
""
]
] | [
"To solve the problem, we can start by pairing the numbers in such a way that their difference is 15. We can pair 10 and 13 as they both are 3 more than 7, which is a prime number. Then we can pair the remaining numbers with 18 as it is 6 more than 12, which is also a prime number. Here's how the pairing could look... | [
"\\(10 + 13 - 3 * 18 + 5 = 15\\)",
"0",
"",
"0",
"",
"\\(10 + 13 - 3 \\times 18 + 5 = 15\\)"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \\(10 + 13 - 3 * 18 + 5 = 15\\)\nWas Correct: False\nTarget: 15",
"role": "user"
},
{
"content": "To solve the problem, we can start by pairing the numbers in such a way that their difference is 15. We can pair 10 and 13 as th... | ||
47 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 19 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and operators that come naturally to mind when dealing with four numbers and the operation of multiplication. Here's how we can break it down:\n\nGiven numbers: 10, 17, 22, 21\n\nStep 1: First, we can pair 10 and 17, as they are clos... | null | countdown | To solve the problem, we can start by grouping the numbers and operators that come naturally to mind when dealing with four numbers and the operation of multiplication. Here's how we can break it down:
Given numbers: 10, 17, 22, 21
Step 1: First, we can pair 10 and 17, as they are close to each other. We can try to m... | 47 | 0 | Step 1: 10 + 17 = 27
Step 2: 27 - 21 = 6
Step 3: 6 - 1 = 5 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Line uses unavailable numbers: Step 3: 6 - 1 = 5 | [
[
"Step 1: 10 + 17 = 27\nStep 2: 27 - 21 = 6\nStep 3: 6 - 1 = 5"
],
[
""
],
[
""
],
[
"Step 1: 10 + 17 = 27\nStep 2: 27 - 21 = 6\nStep 3: 6 - 1 = 5"
],
[
""
],
[
""
]
] | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"Line uses unavailable numbers: Step 3: 6 - 1 = 5"
],
[
"No answer"
],
[
"No answer"
],
[
"Line uses unavailable numbers: Step 3: 6 - 1 = 5"
],
[
"No answer"
],
[
"No answer"
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and operators that come naturally to mind when dealing with four numbers and the operation of multiplication. Here's how we can break it down:\n\nGiven numbers: 10, 17, 22, 21\n\nStep 1: First, we can pair 10 and 17, as they are close to each other. We can... | [
"Step 1: 10 + 17 = 27\nStep 2: 27 - 21 = 6\nStep 3: 6 - 1 = 5",
"",
"",
"Step 1: 10 + 17 = 27\nStep 2: 27 - 21 = 6\nStep 3: 6 - 1 = 5",
"",
""
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 10 + 17 = 27\nStep 2: 27 - 21 = 6\nStep 3: 6 - 1 = 5\nWas Correct: False\nTarget: 19",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and operators that come naturally to min... | ||
48 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 20 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\nGiven numbers: 23, 23, 13, 16\n\nStep 1: We can group the first two numbers as follows:\n(23 + 23) * (13 + 16)\n\nStep 2: Calculate the sums inside the parentheses:\n(46) * (29)\n\nStep 3: ... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations accordingly:
Given numbers: 23, 23, 13, 16
Step 1: We can group the first two numbers as follows:
(23 + 23) * (13 + 16)
Step 2: Calculate the sums inside the parentheses:
(46) * (29)
Step 3: Now, calculate the product:
46 * 29 = ... | 48 | 0 | \( (23 + 23) \cdot (13 + 16) = 1334 \) | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Could not evaluate expression | [
[
"\\( (23 + 23) \\cdot (13 + 16) = 1334 \\)"
],
[
"\\( (23 * 2) + (16 * 13) = 254 \\)"
],
[
"\\( (23 + 23) \\cdot (13 + 16) = 46 \\cdot 29 = 1334 \\)"
],
[
"112"
],
[
"254"
],
[
"Let's try a different approach. How about we use a different grouping of numbers?",
"\\(... | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false,
false
]
] | [
[
"Could not evaluate expression"
],
[
"Could not evaluate expression"
],
[
"Expected a single '=' separating expression and result"
],
[
"Expected a single '=' separating expression and result"
],
[
"Expected a single '=' separating expression and result"
],
[
"Expected ... | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
"",
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\nGiven numbers: 23, 23, 13, 16\n\nStep 1: We can group the first two numbers as follows:\n(23 + 23) * (13 + 16)\n\nStep 2: Calculate the sums inside the parentheses:\n(46) * (29)\n\nStep 3: Now, calculate the prod... | [
"\\( (23 + 23) \\cdot (13 + 16) = 1334 \\)",
"\\( (23 * 2) + (16 * 13) = 254 \\)",
"\\( (23 + 23) \\cdot (13 + 16) = 46 \\cdot 29 = 1334 \\)",
"112",
"254",
"\\( \\frac{2362}{4} = 2362 \\ mod\\ 4 = 2362 \\)"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \\( (23 + 23) \\cdot (13 + 16) = 1334 \\)\nWas Correct: False\nTarget: 20",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\nGiven numbers: ... | ||
49 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 22 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. We have four numbers: 4, 14, 8, and 6. One way to group them is to treat 14 as 10 + 4 and 8 as 5 + 3. This is essentially a decomposition technique.\n\nHere's how it breaks down:\n\n\\[\n\\be... | null | countdown | To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. We have four numbers: 4, 14, 8, and 6. One way to group them is to treat 14 as 10 + 4 and 8 as 5 + 3. This is essentially a decomposition technique.
Here's how it breaks down:
\[
\begin{align*}
4 + 14 + 8 + 6 &= 4 + (... | 49 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | No answer | [
[
""
]
] | [
[
false
]
] | [
[
"No answer"
]
] | [
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. We have four numbers: 4, 14, 8, and 6. One way to group them is to treat 14 as 10 + 4 and 8 as 5 + 3. This is essentially a decomposition technique.\n\nHere's how it breaks down:\n\n\\[\n\\begin{align*}\n4 + 14 + 8... | [
""
] | [
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \nWas Correct: False\nTarget: 22",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. We have four numbers: 4, 14, 8, and 6. One way to group th... | |||
50 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 24 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we need to use the given numbers [15, 22, 17] and apply the basic arithmetic operations (+, -, *, /) to arrive at the target number, which is 24.\n\nStep 1: We start with the first number, 15. \n\nStep 2: We can either use 15 and 22 to create an addition or subtraction ... | null | countdown | To solve the problem, we need to use the given numbers [15, 22, 17] and apply the basic arithmetic operations (+, -, *, /) to arrive at the target number, which is 24.
Step 1: We start with the first number, 15.
Step 2: We can either use 15 and 22 to create an addition or subtraction equation.
- If we use 15 and 2... | 50 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | No answer | [
[
""
]
] | [
[
false
]
] | [
[
"No answer"
]
] | [
[
""
]
] | [
"To solve the problem, we need to use the given numbers [15, 22, 17] and apply the basic arithmetic operations (+, -, *, /) to arrive at the target number, which is 24.\n\nStep 1: We start with the first number, 15. \n\nStep 2: We can either use 15 and 22 to create an addition or subtraction equation. \n\n- If we u... | [
""
] | [
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \nWas Correct: False\nTarget: 24",
"role": "user"
},
{
"content": "To solve the problem, we need to use the given numbers [15, 22, 17] and apply the basic arithmetic operations (+, -, *, /) to arrive at the target number, whic... | |||
51 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 20 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number. \n\nGiven numbers: 15, 20, 24, 17\n\nStep 1: Let's try to group them to get 20.\n\nPotential equation: (15 + 5) * (20 - 10) = 20\n\nExplanation: We're adding 5 to 15 and 10 ... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number.
Given numbers: 15, 20, 24, 17
Step 1: Let's try to group them to get 20.
Potential equation: (15 + 5) * (20 - 10) = 20
Explanation: We're adding 5 to 15 and 10 to 20 because we want to create frac... | 51 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | No answer | [
[
""
]
] | [
[
false
]
] | [
[
"No answer"
]
] | [
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number. \n\nGiven numbers: 15, 20, 24, 17\n\nStep 1: Let's try to group them to get 20.\n\nPotential equation: (15 + 5) * (20 - 10) = 20\n\nExplanation: We're adding 5 to 15 and 10 to 20 because we want t... | [
""
] | [
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \nWas Correct: False\nTarget: 20",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number. \n\nGiven numbers: 15, 20, 24, 17\n\nSte... | |||
52 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 23 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's group the numbers with similar properties:\n - 18 and 24 are multiples of 6, so they might be easily combined.\n - 15 can be paired with a number to make it easier to ca... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations accordingly:
1. First, let's group the numbers with similar properties:
- 18 and 24 are multiples of 6, so they might be easily combined.
- 15 can be paired with a number to make it easier to calculate.
Step 1: Combine 18 and... | 52 | 0 | \(42 + 15 + 6 + 2 = 65\) | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Could not evaluate expression | [
[
"\\(42 + 15 + 6 + 2 = 65\\)"
],
[
"\\(65\\)"
],
[
"42 + 15 + 6 + 2 = 65"
],
[
"tag, so the correct final answer is:\n\n<final_answer>65"
],
[
"tag should be:\n<final_answer>\\(18 + 24 - 15 - 6 = 23\\)"
],
[
"\\(18 + 24 - 15 - 6 = 21\\)"
]
] | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"Could not evaluate expression"
],
[
"Expected a single '=' separating expression and result"
],
[
"Expression uses an unavailable or repeated number"
],
[
"Missing '=' in line: tag, so the correct final answer is:"
],
[
"Missing '=' in line: tag should be:"
],
[
"Could... | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's group the numbers with similar properties:\n - 18 and 24 are multiples of 6, so they might be easily combined.\n - 15 can be paired with a number to make it easier to calculate.\n\nStep 1: Com... | [
"\\(42 + 15 + 6 + 2 = 65\\)",
"\\(65\\)",
"42 + 15 + 6 + 2 = 65",
"tag, so the correct final answer is:\n\n<final_answer>65",
"tag should be:\n<final_answer>\\(18 + 24 - 15 - 6 = 23\\)",
"\\(18 + 24 - 15 - 6 = 21\\)"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \\(42 + 15 + 6 + 2 = 65\\)\nWas Correct: False\nTarget: 23",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's group the numb... | ||
53 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 25 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's try to group the numbers in such a way that we can isolate the variables or constants. We can start with the addition and subtraction, then move to multiplication and divisi... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations accordingly:
1. First, let's try to group the numbers in such a way that we can isolate the variables or constants. We can start with the addition and subtraction, then move to multiplication and division.
We have 17, 16, 21, and 8... | 53 | 0 | 96 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Expected a single '=' separating expression and result | [
[
"96"
],
[
""
]
] | [
[
false
],
[
false
]
] | [
[
"Expected a single '=' separating expression and result"
],
[
"No answer"
]
] | [
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's try to group the numbers in such a way that we can isolate the variables or constants. We can start with the addition and subtraction, then move to multiplication and division.\n\nWe have 17, 16, ... | [
"96",
""
] | [
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: 96\nWas Correct: False\nTarget: 25",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's try to group the numbers in such a way... | ||
54 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 18 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can break it down into simpler steps:\n\n1. **Multiply the first two numbers**: \n - Calculate \\( 8 \\times 13 \\).\n\n2. **Use the result from the multiplication**:\n - Now, multiply the result by the third number:\n \\[\n (8 \\times 13) \\times 23\n ... | null | countdown | To solve the problem, we can break it down into simpler steps:
1. **Multiply the first two numbers**:
- Calculate \( 8 \times 13 \).
2. **Use the result from the multiplication**:
- Now, multiply the result by the third number:
\[
(8 \times 13) \times 23
\]
3. **Perform the multiplication**:
... | 54 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | No answer | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"No answer"
],
[
"No answer"
],
[
"No answer"
],
[
"No answer"
],
[
"No answer"
],
[
"No answer"
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can break it down into simpler steps:\n\n1. **Multiply the first two numbers**: \n - Calculate \\( 8 \\times 13 \\).\n\n2. **Use the result from the multiplication**:\n - Now, multiply the result by the third number:\n \\[\n (8 \\times 13) \\times 23\n \\]\n\n3. **Perform t... | [
"",
"",
"",
"",
"",
""
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \nWas Correct: False\nTarget: 18",
"role": "user"
},
{
"content": "To solve the problem, we can break it down into simpler steps:\n\n1. **Multiply the first two numbers**: \n - Calculate \\( 8 \\times 13 \\).\n\n2. **Use the... | |||
55 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 14 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem using the numbers [3, 14, 14, 11], we can break it down into simpler steps.\n\n1. First, let's multiply the two larger numbers:\n 14 x 14 = 196\n\n2. Now, let's use the smallest number to interact with the result:\n 11 x 196 = 2156\n\n3. Finally, we can add the last ... | null | countdown | To solve the problem using the numbers [3, 14, 14, 11], we can break it down into simpler steps.
1. First, let's multiply the two larger numbers:
14 x 14 = 196
2. Now, let's use the smallest number to interact with the result:
11 x 196 = 2156
3. Finally, we can add the last two numbers to get the final result:... | 55 | 0 | Step 1: 11 x 196 = 2156
Step 2: 2156 + 3 = 2159 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Could not evaluate line: Step 1: 11 x 196 = 2156 | [
[
"Step 1: 11 x 196 = 2156\nStep 2: 2156 + 3 = 2159",
"Step 1: First, calculate \\( 14 \\times 14 = 196 \\).\nStep 2: Then, use \\( 11 \\times 196 \\) to get \\( 2156 \\).\nStep 3: Finally, add \\( 3 \\) to \\( 2156 \\) to get \\( 2159 \\).\n\nThe answer is \\( 2159 \\)."
],
[
""
],
[
"Step ... | [
[
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,... | [
[
"Could not evaluate line: Step 1: 11 x 196 = 2156",
"Could not evaluate line: Step 1: First, calculate \\( 14 \\times 14 = 196 \\)."
],
[
"No answer"
],
[
"Could not evaluate line: Step 1: 11 x 14 = 154",
"Expected a single '=' separating expression and result"
],
[
"Expected a... | [
[
"",
""
],
[
""
],
[
"",
""
],
[
""
],
[
""
],
[
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
... | [
"To solve the problem using the numbers [3, 14, 14, 11], we can break it down into simpler steps.\n\n1. First, let's multiply the two larger numbers:\n 14 x 14 = 196\n\n2. Now, let's use the smallest number to interact with the result:\n 11 x 196 = 2156\n\n3. Finally, we can add the last two numbers to get the ... | [
"Step 1: First, calculate \\( 14 \\times 14 = 196 \\).\nStep 2: Then, use \\( 11 \\times 196 \\) to get \\( 2156 \\).\nStep 3: Finally, add \\( 3 \\) to \\( 2156 \\) to get \\( 2159 \\).\n\nThe answer is \\( 2159 \\).",
"",
"308",
"308",
"308",
"result"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: First, calculate \\( 14 \\times 14 = 196 \\).\nStep 2: Then, use \\( 11 \\times 196 \\) to get \\( 2156 \\).\nStep 3: Finally, add \\( 3 \\) to \\( 2156 \\) to get \\( 2159 \\).\n\nThe answer is \\( 2159 \\).\nWas Correct: False\n... | ||
56 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 24 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's consider the numbers 19 and 23. We can treat them as (19, 23).\n2. We have 19 and 19, which can be combined as (19 + 19).\n3. We also have 1 and 1, which can be combined as ... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations accordingly:
1. First, let's consider the numbers 19 and 23. We can treat them as (19, 23).
2. We have 19 and 19, which can be combined as (19 + 19).
3. We also have 1 and 1, which can be combined as (1 * 1).
Now, let's apply these... | 56 | 0 | 76 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Expected a single '=' separating expression and result | [
[
"76"
],
[
""
],
[
"0"
],
[
""
]
] | [
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"Expected a single '=' separating expression and result"
],
[
"No answer"
],
[
"Expected a single '=' separating expression and result"
],
[
"No answer"
]
] | [
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's consider the numbers 19 and 23. We can treat them as (19, 23).\n2. We have 19 and 19, which can be combined as (19 + 19).\n3. We also have 1 and 1, which can be combined as (1 * 1).\n\nNow, let's ... | [
"76",
"",
"0",
""
] | [
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: 76\nWas Correct: False\nTarget: 24",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's consider the numbers 19 and 23. We can... | ||
57 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 22 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\nGiven numbers: 20, 8, 16, 8\n\nStep 1: We can group the first two numbers (20 and 8) and multiply them:\n20 * 8 = 160\n\nNow, we have 160 and the last two numbers (16 and 8) grouped togethe... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations accordingly:
Given numbers: 20, 8, 16, 8
Step 1: We can group the first two numbers (20 and 8) and multiply them:
20 * 8 = 160
Now, we have 160 and the last two numbers (16 and 8) grouped together. We can add these two numbers:
16... | 57 | 0 | 20 * 8 + 16 + 8 = 22 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Expression does not equal stated result | [
[
"20 * 8 + 16 + 8 = 22",
"20 * 8 + 16 + 8 = 22",
"\\nStep 1: number1 (+,-,*,/) number2 = result.`\n\nSo the final answer should be:\n<final_answer>20 * 8 + 16 + 8 = 22",
"20 * 8 + 8 = 22",
"(20 * 8) + (8 * 16) = 160 + 128 = 288"
],
[
"20 * 8 + 16 + 8 = 22"
]
] | [
[
false,
false,
false,
false,
false
],
[
false
]
] | [
[
"Expression does not equal stated result",
"Expression does not equal stated result",
"Could not evaluate line: \\nStep 1: number1 (+,-,*,/) number2 = result.`",
"Expression does not equal stated result",
"Expected a single '=' separating expression and result"
],
[
"Expression does no... | [
[
"",
"",
"",
"",
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\nGiven numbers: 20, 8, 16, 8\n\nStep 1: We can group the first two numbers (20 and 8) and multiply them:\n20 * 8 = 160\n\nNow, we have 160 and the last two numbers (16 and 8) grouped together. We can add these two... | [
"(20 * 8) + (8 * 16) = 160 + 128 = 288",
"20 * 8 + 16 + 8 = 22"
] | [
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: (20 * 8) + (8 * 16) = 160 + 128 = 288\nWas Correct: False\nTarget: 22",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\nGiven numbers: 20, ... | ||
58 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 18 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. One common approach is to group numbers that are easily\u53ef\u88ab\u7ec4\u5408\u6210\u8fd0\u7b97\u7b26\u4e4b\u95f4\u7684\u6570\u5bf9.\n\nFor the numbers [13, 24, 6, 15], one possible groupin... | null | countdown | To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. One common approach is to group numbers that are easily可被组合成运算符之间的数对.
For the numbers [13, 24, 6, 15], one possible grouping that leads to the value 18 is:
13 - 5 (which is 15) = 8
24 + 8 = 32
32 * 6 = 192
192 - 8 (wh... | 58 | 0 | Step 1: 13 - 5 = 8
Step 2: 24 + 8 = 32
Step 3: 32 * 6 = 192
Step 4: 192 + 15 = 207 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Line uses unavailable numbers: Step 1: 13 - 5 = 8 | [
[
"Step 1: 13 - 5 = 8\nStep 2: 24 + 8 = 32\nStep 3: 32 * 6 = 192\nStep 4: 192 + 15 = 207",
"Step 1: 13 - 5 = 8",
"Step 2: 24 + 8 = 32",
"Step 3: 32 * 6 = 192",
"Step 4: 192 + 15 = 207",
"Step 1: 13 - 5 = 8 (we're really trying to get to 15 here)\nStep 2: 24 + 8 = 32\nStep 3: 32 * 6 = 192\nSt... | [
[
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 1: 13 - 5 = 8",
"Line uses unavailable numbers: Step 1: 13 - 5 = 8",
"Line uses unavailable numbers: Step 2: 24 + 8 = 32",
"Line uses unavailable numbers: Step 3: 32 * 6 = 192",
"Line uses unavailable numbers: Step 4: 192 + 15 = 207",
"Could not evaluat... | [
[
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
],
[
""
],
[
"",
"",
"",
"",
""
],
[
""
],
[
"",
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. One common approach is to group numbers that are easily可被组合成运算符之间的数对.\n\nFor the numbers [13, 24, 6, 15], one possible grouping that leads to the value 18 is:\n\n13 - 5 (which is 15) = 8\n24 + 8 = 32\n32 * 6 = 192\... | [
"Step 4: 192 - 5 = 187",
"",
"Step 4: 465 - 6 = 459",
"Step 1: 13 - 5 = 8\nStep 2: 24 + 8 = 32\nStep 3: 32 * 6 = 192\nStep 4: 192 - 5 = 187",
"Step 1: 13 + 5 = 18",
"Step 1: 13 + 5 = 18\nStep 2: 24 + 8 = 32\nStep 3: 13 + 15 = 28\nStep 4: 32 * 6 = 192\nStep 5: 192 - 5 = 187"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 4: 192 - 5 = 187\nWas Correct: False\nTarget: 18",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. One common approach is to group numbe... | ||
59 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 14 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers in a way that makes sense arithmetic-wise. We can split the numbers [18, 1, 13, 19] as follows:\n\n18 + 1 = 19\n13 * 19 = 227\n\nSo, if we look at it from the perspective of creating an equation, we can say:\n\n\"<think>Grouping the ... | null | countdown | To solve the problem, we can start by grouping the numbers in a way that makes sense arithmetic-wise. We can split the numbers [18, 1, 13, 19] as follows:
18 + 1 = 19
13 * 19 = 227
So, if we look at it from the perspective of creating an equation, we can say:
"<think>Grouping the numbers</think>"
"18 + 1 = 19"
"1... | 59 | 0 | 14 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Expected a single '=' separating expression and result | [
[
"14"
],
[
""
],
[
"247"
],
[
""
],
[
"4233"
],
[
"(18 + 1) * 13 * 19 = 19 * 13 * 19 = 227 * 227 = 42489\"",
"4293"
]
] | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false,
false
]
] | [
[
"Expected a single '=' separating expression and result"
],
[
"No answer"
],
[
"Expected a single '=' separating expression and result"
],
[
"No answer"
],
[
"Expected a single '=' separating expression and result"
],
[
"Expected a single '=' separating expression and r... | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
"",
""
]
] | [
"To solve the problem, we can start by grouping the numbers in a way that makes sense arithmetic-wise. We can split the numbers [18, 1, 13, 19] as follows:\n\n18 + 1 = 19\n13 * 19 = 227\n\nSo, if we look at it from the perspective of creating an equation, we can say:\n\n\"<think>Grouping the numbers</think>\" \n\n\... | [
"14",
"",
"247",
"",
"4233",
"4293"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: 14\nWas Correct: False\nTarget: 14",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers in a way that makes sense arithmetic-wise. We can split the numbers [18, 1, 13, 19] as follows:\n\... | ||
60 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 10 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. One common approach is to try to achieve the target number by combining the given numbers using addition, subtraction, multiplication, and division.\n\nGiven the numbers: 6, 2, 9, 13\n\nAnd t... | null | countdown | To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. One common approach is to try to achieve the target number by combining the given numbers using addition, subtraction, multiplication, and division.
Given the numbers: 6, 2, 9, 13
And the target number: 10
Step 1: Le... | 60 | 0 | tag, we represent the solution as:
<answer>Step 1: 6*2=12; Step 2: 6*9=54; Step 3: 54-14=40; Step 4: 40/4=10 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Missing '=' in line: tag, we represent the solution as: | [
[
"tag, we represent the solution as:\n\n<answer>Step 1: 6*2=12; Step 2: 6*9=54; Step 3: 54-14=40; Step 4: 40/4=10"
],
[
""
],
[
""
],
[
"Step 1: 6*2=12 (not good, try 6*9); Step 2: 6*9=54 (good, try 54-14); Step 3: 54-14=40 (ok, try 40/4); Step 4: 40/4=10 (not good, try 40/13); Step 5: ... | [
[
false
],
[
false
],
[
false
],
[
false,
false
],
[
false
],
[
false
]
] | [
[
"Missing '=' in line: tag, we represent the solution as:"
],
[
"No answer"
],
[
"No answer"
],
[
"Could not evaluate line: Step 1: 6*2=12 (not good, try 6*9); Step 2: 6*9=54 (good, try 54-14); Step 3: 54-14=40 (ok, try 40/4); Step 4: 40/4=10 (not good, try 40/13); Step 5: 40*13=40, 40-... | [
[
""
],
[
""
],
[
""
],
[
"",
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. One common approach is to try to achieve the target number by combining the given numbers using addition, subtraction, multiplication, and division.\n\nGiven the numbers: 6, 2, 9, 13\n\nAnd the target number: 10\n\... | [
"tag, we represent the solution as:\n\n<answer>Step 1: 6*2=12; Step 2: 6*9=54; Step 3: 54-14=40; Step 4: 40/4=10",
"",
"",
"Step 1: 13 - 3 = 10",
"13-3=10",
"IMPOSSIBLE"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: tag, we represent the solution as:\n\n<answer>Step 1: 6*2=12; Step 2: 6*9=54; Step 3: 54-14=40; Step 4: 40/4=10\nWas Correct: False\nTarget: 10",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping t... | ||
61 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 20 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by arranging the numbers [14, 9, 3] using the arithmetic operations (+, -, *, /) to achieve the target number, which is 20.\n\nStep 1: We can start by adding the first two numbers, 14 and 9, to see if we get a number close to 20.\n\n14 + 9 = 23\n\nThis is c... | null | countdown | To solve the problem, we can start by arranging the numbers [14, 9, 3] using the arithmetic operations (+, -, *, /) to achieve the target number, which is 20.
Step 1: We can start by adding the first two numbers, 14 and 9, to see if we get a number close to 20.
14 + 9 = 23
This is closer to 20 than the randomly chos... | 61 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | No answer | [
[
""
],
[
""
],
[
""
],
[
""
]
] | [
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"No answer"
],
[
"No answer"
],
[
"No answer"
],
[
"No answer"
]
] | [
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by arranging the numbers [14, 9, 3] using the arithmetic operations (+, -, *, /) to achieve the target number, which is 20.\n\nStep 1: We can start by adding the first two numbers, 14 and 9, to see if we get a number close to 20.\n\n14 + 9 = 23\n\nThis is closer to 20 than the ra... | [
"",
"",
"",
""
] | [
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \nWas Correct: False\nTarget: 20",
"role": "user"
},
{
"content": "To solve the problem, we can start by arranging the numbers [14, 9, 3] using the arithmetic operations (+, -, *, /) to achieve the target number, which is 20.\... | |||
62 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 25 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's add the two groups of three numbers each:\n (12 + 21) + (8 + 3) = 33 + 11 = 44\n\n2. Now, let's add the results of the first group to the results of the second group:\n ... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations accordingly:
1. First, let's add the two groups of three numbers each:
(12 + 21) + (8 + 3) = 33 + 11 = 44
2. Now, let's add the results of the first group to the results of the second group:
44 + 44 = 88
So, the final answer... | 62 | 0 | \nStep 1: 12 + 21 = 33\nStep 2: 8 + 3 = 11\nStep 3: 33 + 11 = 44\nStep 4: 44 + 44 = 88\n | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Could not evaluate line: \nStep 1: 12 + 21 = 33\nStep 2: 8 + 3 = 11\nStep 3: 33 + 11 = 44\nStep 4: 44 + 44 = 88\n | [
[
"\\nStep 1: 12 + 21 = 33\\nStep 2: 8 + 3 = 11\\nStep 3: 33 + 11 = 44\\nStep 4: 44 + 44 = 88\\n"
],
[
"\\nStep 1: 12 - 8 = 4\\nStep 2: 4 * 3 = 12\\n"
],
[
"\\nStep 1: 12 + 8 = 20\\nStep 2: 20 * 3 = 60\\n"
],
[
"\\nStep 1: 12 - 8 = 4\\nStep 2: 4 * 3 = 12\\nStep 3: 12 + 3 = 15\\n",
"\... | [
[
false
],
[
false
],
[
false
],
[
false,
false
],
[
false
],
[
false,
false
]
] | [
[
"Could not evaluate line: \\nStep 1: 12 + 21 = 33\\nStep 2: 8 + 3 = 11\\nStep 3: 33 + 11 = 44\\nStep 4: 44 + 44 = 88\\n"
],
[
"Could not evaluate line: \\nStep 1: 12 - 8 = 4\\nStep 2: 4 * 3 = 12\\n"
],
[
"Could not evaluate line: \\nStep 1: 12 + 8 = 20\\nStep 2: 20 * 3 = 60\\n"
],
[
"C... | [
[
""
],
[
""
],
[
""
],
[
"",
""
],
[
""
],
[
"",
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's add the two groups of three numbers each:\n (12 + 21) + (8 + 3) = 33 + 11 = 44\n\n2. Now, let's add the results of the first group to the results of the second group:\n 44 + 44 = 88\n\nSo, the... | [
"\\nStep 1: 12 + 21 = 33\\nStep 2: 8 + 3 = 11\\nStep 3: 33 + 11 = 44\\nStep 4: 44 + 44 = 88\\n",
"\\nStep 1: 12 - 8 = 4\\nStep 2: 4 * 3 = 12\\n",
"\\nStep 1: 12 + 8 = 20\\nStep 2: 20 * 3 = 60\\n",
"\\nStep 1: 12 - 8 = 4\\nStep 2: 4 * 3 = 12 (this is incorrect, let's try to find the mistake)\\nStep 3: Let's us... | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \\nStep 1: 12 + 21 = 33\\nStep 2: 8 + 3 = 11\\nStep 3: 33 + 11 = 44\\nStep 4: 44 + 44 = 88\\n\nWas Correct: False\nTarget: 25",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and app... | ||
63 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 11 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number, which is 11 in this case.\n\n1. First, let's consider the multiplication and addition operations. We can try multiplying the two larger numbers and then adjusting with the s... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number, which is 11 in this case.
1. First, let's consider the multiplication and addition operations. We can try multiplying the two larger numbers and then adjusting with the smaller numbers.
2. We can sta... | 63 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | No answer | [
[
""
]
] | [
[
false
]
] | [
[
"No answer"
]
] | [
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number, which is 11 in this case.\n\n1. First, let's consider the multiplication and addition operations. We can try multiplying the two larger numbers and then adjusting with the smaller numbers.\n\n2. W... | [
""
] | [
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \nWas Correct: False\nTarget: 11",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number, which is 11 in this case.\n\n1. First, l... | |||
64 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 14 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number 14.\n\n1. First, let's consider the multiplication and division operations. We can pair the numbers 6 and 19 to make operations that might lead us to 14.\n\nWe can start with... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number 14.
1. First, let's consider the multiplication and division operations. We can pair the numbers 6 and 19 to make operations that might lead us to 14.
We can start with:
\[ 6 \times \frac{19}{4} \]
L... | 64 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | No answer | [
[
""
]
] | [
[
false
]
] | [
[
"No answer"
]
] | [
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number 14.\n\n1. First, let's consider the multiplication and division operations. We can pair the numbers 6 and 19 to make operations that might lead us to 14.\n\nWe can start with:\n\\[ 6 \\times \\frac... | [
""
] | [
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \nWas Correct: False\nTarget: 14",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number 14.\n\n1. First, let's consider the multi... | |||
65 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 10 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number. \n\nGiven numbers: 8, 4, 23, 10\n\nStep 1: Let's try to manipulate the numbers to get closer to the target of 10.\n\nStep 1.1: Consider 23 and 10. We can subtract 10 from 23... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number.
Given numbers: 8, 4, 23, 10
Step 1: Let's try to manipulate the numbers to get closer to the target of 10.
Step 1.1: Consider 23 and 10. We can subtract 10 from 23.
23 - 10 = 13
Step 1.2: Now, we... | 65 | 0 | 8 + 4 * (23 - 10) = 10 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Expression does not equal stated result | [
[
"8 + 4 * (23 - 10) = 10"
],
[
"(10 - 4) / 23 = 10"
],
[
"10"
],
[
"10",
"60"
],
[
"10",
"60"
],
[
"(8 + 4) * (23 - 10) = 12 * 13 = 156 - 10 = 146"
]
] | [
[
false
],
[
false
],
[
false
],
[
false,
false
],
[
false,
false
],
[
false
]
] | [
[
"Expression does not equal stated result"
],
[
"Expression does not equal stated result"
],
[
"Expected a single '=' separating expression and result"
],
[
"Expected a single '=' separating expression and result",
"Expected a single '=' separating expression and result"
],
[
... | [
[
""
],
[
""
],
[
""
],
[
"",
""
],
[
"",
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number. \n\nGiven numbers: 8, 4, 23, 10\n\nStep 1: Let's try to manipulate the numbers to get closer to the target of 10.\n\nStep 1.1: Consider 23 and 10. We can subtract 10 from 23.\n\n23 - 10 = 13\n\nSt... | [
"8 + 4 * (23 - 10) = 10",
"(10 - 4) / 23 = 10",
"10",
"60",
"60",
"(8 + 4) * (23 - 10) = 12 * 13 = 156 - 10 = 146"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: 8 + 4 * (23 - 10) = 10\nWas Correct: False\nTarget: 10",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number. \n\nGiven numbers:... | ||
66 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 13 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. One common approach is to group numbers that are easily\u53ef\u88ab\u7ec4\u5408\u6210\u8fd0\u7b97\u7b26\u4e4b\u95f4\u7684\u6570\u5bf9.\n\nFor the numbers 19, 2, 12, and 18, a possible groupin... | null | countdown | To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. One common approach is to group numbers that are easily可被组合成运算符之间的数对.
For the numbers 19, 2, 12, and 18, a possible grouping that leads to the number 13 is:
19 - 6, because 19 - 6 = 13.
So, based on this grouping, th... | 66 | 0 | Step 1: 19 - 6 = 13 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Line uses unavailable numbers: Step 1: 19 - 6 = 13 | [
[
"Step 1: 19 - 6 = 13"
],
[
""
],
[
""
],
[
"Step 1: 19 - 6 = 13",
"(19 - 6) = 13"
],
[
"Step 1: 19 - 2 = 17"
],
[
"Step 1: 19 - 6 = 13"
]
] | [
[
false
],
[
false
],
[
false
],
[
false,
false
],
[
false
],
[
false
]
] | [
[
"Line uses unavailable numbers: Step 1: 19 - 6 = 13"
],
[
"No answer"
],
[
"No answer"
],
[
"Line uses unavailable numbers: Step 1: 19 - 6 = 13",
"Expression uses an unavailable or repeated number"
],
[
"Incorrect final answer"
],
[
"Line uses unavailable numbers: S... | [
[
""
],
[
""
],
[
""
],
[
"",
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. One common approach is to group numbers that are easily可被组合成运算符之间的数对.\n\nFor the numbers 19, 2, 12, and 18, a possible grouping that leads to the number 13 is:\n\n19 - 6, because 19 - 6 = 13.\n\nSo, based on this g... | [
"Step 1: 19 - 6 = 13",
"",
"",
"(19 - 6) = 13",
"Step 1: 19 - 2 = 17",
"Step 1: 19 - 6 = 13"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 19 - 6 = 13\nWas Correct: False\nTarget: 13",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. One common approach is to group numbers... | ||
67 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 23 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's add 17 and 21:\n 17 + 21 = 38\n\n2. Now, let's subtract 11 from the result:\n 38 - 11 = 27\n\n3. Finally, let's multiply the result by 3:\n 27 * 3 = 81\n\nSo, the fina... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations accordingly:
1. First, let's add 17 and 21:
17 + 21 = 38
2. Now, let's subtract 11 from the result:
38 - 11 = 27
3. Finally, let's multiply the result by 3:
27 * 3 = 81
So, the final equation that equals 23 is:
27 * 3 - ... | 67 | 0 | 27 * 3 - 11 + 21 + 17 = 23 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Expression does not equal stated result | [
[
"27 * 3 - 11 + 21 + 17 = 23"
],
[
"(17 + 21) * 3 - 11 = 23"
],
[
"tag: <final_answer>(3 * 17) - (21 + 11) = 19"
],
[
""
],
[
"tag should be:\n\n<final_answer> (3 * 17) - (21 + 11) = 19"
],
[
"Not possible"
]
] | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"Expression does not equal stated result"
],
[
"Expression does not equal stated result"
],
[
"Could not evaluate line: tag: <final_answer>(3 * 17) - (21 + 11) = 19"
],
[
"No answer"
],
[
"Missing '=' in line: tag should be:"
],
[
"Expected a single '=' separating expre... | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's add 17 and 21:\n 17 + 21 = 38\n\n2. Now, let's subtract 11 from the result:\n 38 - 11 = 27\n\n3. Finally, let's multiply the result by 3:\n 27 * 3 = 81\n\nSo, the final equation that equals ... | [
"27 * 3 - 11 + 21 + 17 = 23",
"(17 + 21) * 3 - 11 = 23",
"tag: <final_answer>(3 * 17) - (21 + 11) = 19",
"",
"tag should be:\n\n<final_answer> (3 * 17) - (21 + 11) = 19",
"Not possible"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: 27 * 3 - 11 + 21 + 17 = 23\nWas Correct: False\nTarget: 23",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's add 17 and 21:... | ||
68 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 10 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. One common approach is to group numbers that are easily\u53ef\u88ab\u7ec4\u5408\u6210\u8fd0\u7b97\u7b26\u4e4b\u95f4\u7684\u6570\u5bf9.\n\nFor the numbers [16, 4, 14, 12], one possible groupin... | null | countdown | To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. One common approach is to group numbers that are easily可被组合成运算符之间的数对.
For the numbers [16, 4, 14, 12], one possible grouping that leads to the value 10 is:
16 - 4 = 12
14 + 12 = 26
When we add these results together ... | 68 | 0 | 10 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Expected a single '=' separating expression and result | [
[
"10",
"Step 1: 16 - 6 = 10"
],
[
"Step 1: 16 (/) 4 = 4\nStep 2: 14 + 2 = 16\nStep 3: 16 - 6 = 10"
],
[
""
],
[
"38"
],
[
"16 - 4 = 12\n14 + 12 = 26\n12 + 26 = 38"
],
[
"16 - 4 = 12\n14 + 12 = 26\n26 + 12 = 38\n- 12 from 38 is 16",
"16 - 4 = 12\n14 + 12 = 26\n12 ... | [
[
false,
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false,
false
]
] | [
[
"Expected a single '=' separating expression and result",
"Line uses unavailable numbers: Step 1: 16 - 6 = 10"
],
[
"Could not evaluate line: Step 1: 16 (/) 4 = 4"
],
[
"No answer"
],
[
"Expected a single '=' separating expression and result"
],
[
"Expected a single '=' sep... | [
[
"",
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
"",
""
]
] | [
"To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. One common approach is to group numbers that are easily可被组合成运算符之间的数对.\n\nFor the numbers [16, 4, 14, 12], one possible grouping that leads to the value 10 is:\n\n16 - 4 = 12\n14 + 12 = 26\n\nWhen we add these resul... | [
"Step 1: 16 - 6 = 10",
"Step 1: 16 (/) 4 = 4\nStep 2: 14 + 2 = 16\nStep 3: 16 - 6 = 10",
"",
"38",
"16 - 4 = 12\n14 + 12 = 26\n12 + 26 = 38",
"16 - 4 = 12\n14 + 12 = 26\n12 + 26 = 38\n- 12 from 38 is 16"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 16 - 6 = 10\nWas Correct: False\nTarget: 10",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. One common approach is to group numbers... | ||
69 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 24 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's group the numbers in sets of three: [9, 20, 18], [16, 20, 18]. We can add the numbers in the first set first:\n\n 9 + 20 = 29\n 29 + 18 = 47\n\nSo, by adding 9 and 20, w... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations accordingly:
1. First, let's group the numbers in sets of three: [9, 20, 18], [16, 20, 18]. We can add the numbers in the first set first:
9 + 20 = 29
29 + 18 = 47
So, by adding 9 and 20, we get 47. Now, let's use the number... | 69 | 0 | 90 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Expected a single '=' separating expression and result | [
[
"90"
],
[
""
],
[
"72"
],
[
"742"
],
[
""
]
] | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"Expected a single '=' separating expression and result"
],
[
"No answer"
],
[
"Expected a single '=' separating expression and result"
],
[
"Expected a single '=' separating expression and result"
],
[
"No answer"
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's group the numbers in sets of three: [9, 20, 18], [16, 20, 18]. We can add the numbers in the first set first:\n\n 9 + 20 = 29\n 29 + 18 = 47\n\nSo, by adding 9 and 20, we get 47. Now, let's us... | [
"90",
"",
"72",
"742",
""
] | [
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: 90\nWas Correct: False\nTarget: 24",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's group the numbers in sets of three: [9... | ||
70 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 24 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by arranging the numbers [8, 3, 9] using the arithmetic operations (+, -, *, /) to achieve the result of 24.\n\n1. **Step 1:** Multiply the first two numbers: **8 * 3 = 24**. This is a direct way to achieve the result without using the remaining number 9, a... | null | countdown | To solve the problem, we can start by arranging the numbers [8, 3, 9] using the arithmetic operations (+, -, *, /) to achieve the result of 24.
1. **Step 1:** Multiply the first two numbers: **8 * 3 = 24**. This is a direct way to achieve the result without using the remaining number 9, as multiplying by 9 later would... | 70 | 0 | Step 1: 8 * 3 = 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | true | [
[
"Step 1: 8 * 3 = 24"
],
[
"Step 1: 8 * 3 = 24"
],
[
"24",
"8 * 3 = 24",
"Step 1: 8 * 3 = 24\nStep 2: 24 + 9 = 33",
"42",
"42",
"Step 1: 8 * 3 = 24\nStep 2: 24 + 9 = 33"
],
[
"Step 1: 8 * (3 + 9) = 24"
],
[
"42"
],
[
"42",
"33"
]
] | [
[
true
],
[
true
],
[
false,
true,
false,
false,
false,
false
],
[
false
],
[
false
],
[
false,
false
]
] | [
[
""
],
[
""
],
[
"Expected a single '=' separating expression and result",
"",
"Incorrect final answer",
"Expected a single '=' separating expression and result",
"Expected a single '=' separating expression and result",
"Incorrect final answer"
],
[
"Incorrect arith... | [
[
""
],
[
""
],
[
"",
"",
"",
"",
"",
""
],
[
""
],
[
""
],
[
"",
""
]
] | [
"To solve the problem, we can start by arranging the numbers [8, 3, 9] using the arithmetic operations (+, -, *, /) to achieve the result of 24.\n\n1. **Step 1:** Multiply the first two numbers: **8 * 3 = 24**. This is a direct way to achieve the result without using the remaining number 9, as multiplying by 9 late... | [
"Step 1: 8 * 3 = 24",
"Step 1: 8 * 3 = 24",
"Step 1: 8 * 3 = 24\nStep 2: 24 + 9 = 33",
"Step 1: 8 * (3 + 9) = 24",
"42",
"33"
] | [
true,
true,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 8 * 3 = 24\nWas Correct: True\nTarget: 24",
"role": "user"
},
{
"content": "To solve the problem, we can start by arranging the numbers [8, 3, 9] using the arithmetic operations (+, -, *, /) to achieve the result of 24... | |||
71 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 24 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we need to use the given numbers [15, 19, 20] and apply the basic arithmetic operations (+, -, *, /) to arrive at the target number 24.\n\nStep 1: We have three numbers, so we can potentially multiply two of them and then use the third number to adjust the result. Let's... | null | countdown | To solve the problem, we need to use the given numbers [15, 19, 20] and apply the basic arithmetic operations (+, -, *, /) to arrive at the target number 24.
Step 1: We have three numbers, so we can potentially multiply two of them and then use the third number to adjust the result. Let's try multiplying 15 and 19:
1... | 71 | 0 | \(15 \times 19 - 20 = 24\) | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Could not evaluate expression | [
[
"\\(15 \\times 19 - 20 = 24\\)"
],
[
"\\(15 \\times 19 = 265\\), and by subtracting 20 from 265, we indeed get 245 - 20 = 24.",
"\\(number1 \\text{ operation1} \\text{ number2} \\text{ operation2} \\text{ number3} = result\\)`, which doesn't exactly match our solution. The reason is that the probl... | [
[
false
],
[
false,
false,
false,
false
],
[
false
],
[
false
]
] | [
[
"Could not evaluate expression"
],
[
"Expected a single '=' separating expression and result",
"Could not evaluate line: \\(number1 \\text{ operation1} \\text{ number2} \\text{ operation2} \\text{ number3} = result\\)`, which doesn't exactly match our solution. The reason is that the problem state... | [
[
""
],
[
"",
"",
"",
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we need to use the given numbers [15, 19, 20] and apply the basic arithmetic operations (+, -, *, /) to arrive at the target number 24.\n\nStep 1: We have three numbers, so we can potentially multiply two of them and then use the third number to adjust the result. Let's try multiplying 15 and... | [
"\\(15 \\times 19 - 20 = 24\\)",
"\\(15 \\times 19 \\times 20 = 24\\)",
"\\(15 \\times 19 \\times 20 = 24\\)",
""
] | [
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \\(15 \\times 19 - 20 = 24\\)\nWas Correct: False\nTarget: 24",
"role": "user"
},
{
"content": "To solve the problem, we need to use the given numbers [15, 19, 20] and apply the basic arithmetic operations (+, -, *, /) to arri... | ||
72 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 22 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. One common approach is to use the distributive property of multiplication over addition. Let's use the numbers [17, 7, 3, 8] and the target number 22.\n\nStep 1: Group the numbers in an equat... | null | countdown | To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. One common approach is to use the distributive property of multiplication over addition. Let's use the numbers [17, 7, 3, 8] and the target number 22.
Step 1: Group the numbers in an equation that can be solved.
(17 -... | 72 | 0 | (17 - 3) * (8 + 7) = 210 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Incorrect final answer | [
[
"(17 - 3) * (8 + 7) = 210"
],
[
"210"
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"Incorrect final answer"
],
[
"Expected a single '=' separating expression and result"
],
[
"No answer"
],
[
"No answer"
],
[
"No answer"
],
[
"No answer"
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. One common approach is to use the distributive property of multiplication over addition. Let's use the numbers [17, 7, 3, 8] and the target number 22.\n\nStep 1: Group the numbers in an equation that can be solved.... | [
"(17 - 3) * (8 + 7) = 210",
"210",
"",
"",
"",
""
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: (17 - 3) * (8 + 7) = 210\nWas Correct: False\nTarget: 22",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. One common approach is to use the ... | ||
73 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 23 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by rearranging the numbers to make it easier to multiply. We can group 16 and 15 together, as they are close to each other. So, let's multiply these first:\n\n\\[\n16 \\times 15 = 240\n\\]\n\nNow, we need to multiply the result by 1, so:\n\n\\[\n240 \\times... | null | countdown | To solve the problem, we can start by rearranging the numbers to make it easier to multiply. We can group 16 and 15 together, as they are close to each other. So, let's multiply these first:
\[
16 \times 15 = 240
\]
Now, we need to multiply the result by 1, so:
\[
240 \times 1 = 240
\]
Finally, we need to multiply ... | 73 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | No answer | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"No answer"
],
[
"No answer"
],
[
"No answer"
],
[
"No answer"
],
[
"No answer"
],
[
"No answer"
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by rearranging the numbers to make it easier to multiply. We can group 16 and 15 together, as they are close to each other. So, let's multiply these first:\n\n\\[\n16 \\times 15 = 240\n\\]\n\nNow, we need to multiply the result by 1, so:\n\n\\[\n240 \\times 1 = 240\n\\]\n\nFinall... | [
"",
"",
"",
"",
"",
""
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \nWas Correct: False\nTarget: 23",
"role": "user"
},
{
"content": "To solve the problem, we can start by rearranging the numbers to make it easier to multiply. We can group 16 and 15 together, as they are close to each other. ... | |||
74 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 19 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number. \n\nGiven numbers: 24, 18, 23\n\nStep 1: We can start by adding the first two numbers, as they are the smallest:\n\n24 + 18 = 42\n\nNow we need to adjust our sum so that whe... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number.
Given numbers: 24, 18, 23
Step 1: We can start by adding the first two numbers, as they are the smallest:
24 + 18 = 42
Now we need to adjust our sum so that when we multiply by the third number (2... | 74 | 0 | 196 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Expected a single '=' separating expression and result | [
[
"196"
],
[
""
],
[
""
],
[
"19660"
],
[
""
],
[
"19660",
"19660"
]
] | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false,
false
]
] | [
[
"Expected a single '=' separating expression and result"
],
[
"No answer"
],
[
"No answer"
],
[
"Expected a single '=' separating expression and result"
],
[
"No answer"
],
[
"Expected a single '=' separating expression and result",
"Expected a single '=' separating... | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
"",
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number. \n\nGiven numbers: 24, 18, 23\n\nStep 1: We can start by adding the first two numbers, as they are the smallest:\n\n24 + 18 = 42\n\nNow we need to adjust our sum so that when we multiply by the th... | [
"196",
"",
"",
"19660",
"",
"19660"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: 196\nWas Correct: False\nTarget: 19",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number. \n\nGiven numbers: 24, 18, 23\n\nStep... | ||
75 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 15 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. One common approach is to try to achieve the target number by combining the given numbers using addition, subtraction, multiplication, and division.\n\nGiven the numbers: 17, 20, 10, 4\n\nAnd... | null | countdown | To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. One common approach is to try to achieve the target number by combining the given numbers using addition, subtraction, multiplication, and division.
Given the numbers: 17, 20, 10, 4
And the target number: 15
Step 1: ... | 75 | 0 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Expected a single '=' separating expression and result | [
[
"240"
],
[
"240"
],
[
"15"
],
[
"15",
"2366"
],
[
""
],
[
"825"
]
] | [
[
false
],
[
false
],
[
false
],
[
false,
false
],
[
false
],
[
false
]
] | [
[
"Expected a single '=' separating expression and result"
],
[
"Expected a single '=' separating expression and result"
],
[
"Expected a single '=' separating expression and result"
],
[
"Expected a single '=' separating expression and result",
"Expected a single '=' separating expr... | [
[
""
],
[
""
],
[
""
],
[
"",
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. One common approach is to try to achieve the target number by combining the given numbers using addition, subtraction, multiplication, and division.\n\nGiven the numbers: 17, 20, 10, 4\n\nAnd the target number: 15\... | [
"240",
"240",
"15",
"2366",
"",
"825"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: 240\nWas Correct: False\nTarget: 15",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. One common approach is to try to achieve the target num... | ||
76 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 16 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by pairing the numbers in such a way that their product is closest to but less than the target number 16. \n\nHere's how the pairing could be done:\n\n- Use 12 and 6. \n- Calculate 12 - 6 = 6. \n- The next most efficient use of the remaining number would be... | null | countdown | To solve the problem, we can start by pairing the numbers in such a way that their product is closest to but less than the target number 16.
Here's how the pairing could be done:
- Use 12 and 6.
- Calculate 12 - 6 = 6.
- The next most efficient use of the remaining number would be 10 - 4 (which is a bit wasteful s... | 76 | 0 | 4 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Expected a single '=' separating expression and result | [
[
"4"
],
[
""
],
[
"14"
],
[
"4"
],
[
"100"
],
[
""
]
] | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"Expected a single '=' separating expression and result"
],
[
"No answer"
],
[
"Expected a single '=' separating expression and result"
],
[
"Expected a single '=' separating expression and result"
],
[
"Expected a single '=' separating expression and result"
],
[
"No a... | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by pairing the numbers in such a way that their product is closest to but less than the target number 16. \n\nHere's how the pairing could be done:\n\n- Use 12 and 6. \n- Calculate 12 - 6 = 6. \n- The next most efficient use of the remaining number would be 10 - 4 (which is a bit... | [
"4",
"",
"14",
"4",
"100",
""
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: 4\nWas Correct: False\nTarget: 16",
"role": "user"
},
{
"content": "To solve the problem, we can start by pairing the numbers in such a way that their product is closest to but less than the target number 16. \n\nHere's how th... | ||
77 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 10 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. We can split the numbers [5, 9, 2, 2] into [5, 9] and [2, 2] and then perform operations on each group.\n\nGroup 1: [5, 9]\n- We can multiply these two numbers: 5 * 9 = 45\n\nGroup 2: [2, 2]\... | null | countdown | To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. We can split the numbers [5, 9, 2, 2] into [5, 9] and [2, 2] and then perform operations on each group.
Group 1: [5, 9]
- We can multiply these two numbers: 5 * 9 = 45
Group 2: [2, 2]
- This is essentially two identic... | 77 | 0 | 49 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Expected a single '=' separating expression and result | [
[
"49"
],
[
"",
"Step 1: 5*9=45\nStep 2: 45+4=49",
"49"
],
[
"Step 1: 5/9 = 0.5 floors\nStep 2: 9/2 = 4.5 floors\nStep 3: Floors: 0 + 0.5 = 1 floor\nStep 4: Seconds: 555... + 444... = 1000... seconds\nStep 5: 1 + 1 = 2",
"10"
],
[
""
]
] | [
[
false
],
[
false,
false,
false
],
[
false,
false
],
[
false
]
] | [
[
"Expected a single '=' separating expression and result"
],
[
"No answer",
"Line uses unavailable numbers: Step 2: 45+4=49",
"Expected a single '=' separating expression and result"
],
[
"Could not evaluate line: Step 1: 5/9 = 0.5 floors",
"Expected a single '=' separating expressi... | [
[
""
],
[
"",
"",
""
],
[
"",
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. We can split the numbers [5, 9, 2, 2] into [5, 9] and [2, 2] and then perform operations on each group.\n\nGroup 1: [5, 9]\n- We can multiply these two numbers: 5 * 9 = 45\n\nGroup 2: [2, 2]\n- This is essentially ... | [
"49",
"49",
"10",
""
] | [
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: 49\nWas Correct: False\nTarget: 10",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. We can split the numbers [5, 9, 2, 2] into [5, 9] and [2... | ||
78 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 19 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we need to use the given numbers [19, 10, 16, 16] and apply the basic arithmetic operations (+, -, *, /) to arrive at the target number, which is 19.\n\nStep 1: We start by examining the first number, which is 19. We can see that it can be expressed as a sum of the othe... | null | countdown | To solve the problem, we need to use the given numbers [19, 10, 16, 16] and apply the basic arithmetic operations (+, -, *, /) to arrive at the target number, which is 19.
Step 1: We start by examining the first number, which is 19. We can see that it can be expressed as a sum of the other three numbers: 19 = 16 + 10 ... | 78 | 0 | Step 1: 16 + 10 = 26
Step 2: 26 + 3 = 29 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Line uses unavailable numbers: Step 2: 26 + 3 = 29 | [
[
"Step 1: 16 + 10 = 26\nStep 2: 26 + 3 = 29",
"Step 1: 16 + 10 = 26\nStep 2: 26 + 3 = 29",
"Step 1: 19 = 16 * 1 + 10 * 1 + 1 * 1"
],
[
"Step 1: 19 = 16 + 10 + 3"
],
[
"Step 1: 19 - 16 = 3\nStep 2: 3 + 10 = 13\nStep 3: 13 + 3 = 16"
],
[
"19"
],
[
"(1 + 2) / 3 = 19'",
... | [
[
false,
false,
false
],
[
false
],
[
false
],
[
false
],
[
false,
false,
false
],
[
false
]
] | [
[
"Line uses unavailable numbers: Step 2: 26 + 3 = 29",
"Line uses unavailable numbers: Step 2: 26 + 3 = 29",
"Could not evaluate line: Step 1: 19 = 16 * 1 + 10 * 1 + 1 * 1"
],
[
"Could not evaluate line: Step 1: 19 = 16 + 10 + 3"
],
[
"Line uses unavailable numbers: Step 3: 13 + 3 = 16"... | [
[
"",
"",
""
],
[
""
],
[
""
],
[
""
],
[
"",
"",
""
],
[
""
]
] | [
"To solve the problem, we need to use the given numbers [19, 10, 16, 16] and apply the basic arithmetic operations (+, -, *, /) to arrive at the target number, which is 19.\n\nStep 1: We start by examining the first number, which is 19. We can see that it can be expressed as a sum of the other three numbers: 19 = 1... | [
"Step 1: 19 = 16 * 1 + 10 * 1 + 1 * 1",
"Step 1: 19 = 16 + 10 + 3",
"Step 1: 19 - 16 = 3\nStep 2: 3 + 10 = 13\nStep 3: 13 + 3 = 16",
"19",
"Step 1: 19 = 16 + 10 + 3",
"Step 1: 19 = 16 + 10 + 3\nStep 2: 19 = 26 + 6 = 29"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 19 = 16 * 1 + 10 * 1 + 1 * 1\nWas Correct: False\nTarget: 19",
"role": "user"
},
{
"content": "To solve the problem, we need to use the given numbers [19, 10, 16, 16] and apply the basic arithmetic operations (+, -, *,... | ||
79 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 24 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by expressing the right side of the equation, 19, using only the numbers and operations that can be expressed with the numbers on the left side, 5, 1, and 2.\n\n1. We can express 19 as 5 + 14.\n2. Now we can replace the right side with the expression we cre... | null | countdown | To solve the problem, we can start by expressing the right side of the equation, 19, using only the numbers and operations that can be expressed with the numbers on the left side, 5, 1, and 2.
1. We can express 19 as 5 + 14.
2. Now we can replace the right side with the expression we created: (5 + 14) + 2.
3. We can d... | 79 | 0 | Step 1: 5 * 19 = 95
Step 2: 95 + 14 * 2 = 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Incorrect arithmetic in line: Step 2: 95 + 14 * 2 = 114 | [
[
"Step 1: 5 * 19 = 95\nStep 2: 95 + 14 * 2 = 114"
],
[
"Step 1: 5 * 19 = 95\nStep 2: 95 + 5 * 10 = 100\nStep 3: 100 + 4 = 24",
"Step 1: 5 * 19 = 95\nStep 2: 95 + 5 * 10 = 100\nStep 3: 100 + 4 = 104"
],
[
""
],
[
"Step 1: 5 * 19 = 95\nStep 2: 95 + 24 = 119"
],
[
"119"
],
... | [
[
false
],
[
false,
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"Incorrect arithmetic in line: Step 2: 95 + 14 * 2 = 114"
],
[
"Incorrect arithmetic in line: Step 2: 95 + 5 * 10 = 100",
"Incorrect arithmetic in line: Step 2: 95 + 5 * 10 = 100"
],
[
"No answer"
],
[
"Line uses unavailable numbers: Step 2: 95 + 24 = 119"
],
[
"Expected a ... | [
[
""
],
[
"",
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by expressing the right side of the equation, 19, using only the numbers and operations that can be expressed with the numbers on the left side, 5, 1, and 2.\n\n1. We can express 19 as 5 + 14.\n2. Now we can replace the right side with the expression we created: (5 + 14) + 2.\n3.... | [
"Step 1: 5 * 19 = 95\nStep 2: 95 + 14 * 2 = 114",
"Step 1: 5 * 19 = 95\nStep 2: 95 + 5 * 10 = 100\nStep 3: 100 + 4 = 104",
"",
"Step 1: 5 * 19 = 95\nStep 2: 95 + 24 = 119",
"119",
"Step 1: 5 * 19 = 95\nStep 2: 95 + 24 = 119"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 5 * 19 = 95\nStep 2: 95 + 14 * 2 = 114\nWas Correct: False\nTarget: 24",
"role": "user"
},
{
"content": "To solve the problem, we can start by expressing the right side of the equation, 19, using only the numbers and o... | ||
80 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 19 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by rearranging the numbers to make it easier to multiply. We can group 17 and 13 as (17 - 5) and (17 + 3), and the remaining number 15 can be treated as (15 * 1).\n\nSo, we have:\n\n\\[ (17 - 5) \\times (17 + 3) \\times (15 \\times 1) = 19 \\]\n\nNow, let's... | null | countdown | To solve the problem, we can start by rearranging the numbers to make it easier to multiply. We can group 17 and 13 as (17 - 5) and (17 + 3), and the remaining number 15 can be treated as (15 * 1).
So, we have:
\[ (17 - 5) \times (17 + 3) \times (15 \times 1) = 19 \]
Now, let's multiply step by step:
Step 1: Multip... | 80 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | No answer | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"No answer"
],
[
"No answer"
],
[
"No answer"
],
[
"No answer"
],
[
"No answer"
],
[
"No answer"
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by rearranging the numbers to make it easier to multiply. We can group 17 and 13 as (17 - 5) and (17 + 3), and the remaining number 15 can be treated as (15 * 1).\n\nSo, we have:\n\n\\[ (17 - 5) \\times (17 + 3) \\times (15 \\times 1) = 19 \\]\n\nNow, let's multiply step by step:... | [
"",
"",
"",
"",
"",
""
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \nWas Correct: False\nTarget: 19",
"role": "user"
},
{
"content": "To solve the problem, we can start by rearranging the numbers to make it easier to multiply. We can group 17 and 13 as (17 - 5) and (17 + 3), and the remaining... | |||
81 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 24 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can break it down into simpler steps:\n\n1. First, let's multiply the two 2's together: 2 * 2 = 4.\n2. Now, we have 20 - 4 = 16. We can distribute the subtraction across the numbers: (10 - 2) * (6 - 1) = 8 * 5 = 40.\n3. Next, we multiply 4 by 4: 4 * 4 = 16.\n4. Final... | null | countdown | To solve the problem, we can break it down into simpler steps:
1. First, let's multiply the two 2's together: 2 * 2 = 4.
2. Now, we have 20 - 4 = 16. We can distribute the subtraction across the numbers: (10 - 2) * (6 - 1) = 8 * 5 = 40.
3. Next, we multiply 4 by 4: 4 * 4 = 16.
4. Finally, we add up all the results: 4 ... | 81 | 0 | (2 * 2) * (20 - 4) + 4 * 4 = 60 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Expression does not equal stated result | [
[
"(2 * 2) * (20 - 4) + 4 * 4 = 60"
],
[
""
],
[
""
],
[
""
],
[
"Step 1: 2 * 2 = 4",
"Step 2: 20 - 4 = 16",
"Step 3: 4 * 4 = 16",
"Step 4: 4 + 16 + 16 = 60",
"Step 1: 2 * 2 = 4",
"Step 2: 20 - 4 = 16",
"Step 3: 4 * 4 = 16",
"Step 4: 4 + 16 + 16 = 60"
... | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false,
false,
false,
false,
false,
false,
false,
false
],
[
false
]
] | [
[
"Expression does not equal stated result"
],
[
"No answer"
],
[
"No answer"
],
[
"No answer"
],
[
"Line uses unavailable numbers: Step 1: 2 * 2 = 4",
"Incorrect final answer",
"Line uses unavailable numbers: Step 3: 4 * 4 = 16",
"Incorrect arithmetic in line: Step 4... | [
[
""
],
[
""
],
[
""
],
[
""
],
[
"",
"",
"",
"",
"",
"",
"",
""
],
[
""
]
] | [
"To solve the problem, we can break it down into simpler steps:\n\n1. First, let's multiply the two 2's together: 2 * 2 = 4.\n2. Now, we have 20 - 4 = 16. We can distribute the subtraction across the numbers: (10 - 2) * (6 - 1) = 8 * 5 = 40.\n3. Next, we multiply 4 by 4: 4 * 4 = 16.\n4. Finally, we add up all the r... | [
"(2 * 2) * (20 - 4) + 4 * 4 = 60",
"",
"",
"",
"Step 4: 4 + 16 + 16 = 60",
""
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: (2 * 2) * (20 - 4) + 4 * 4 = 60\nWas Correct: False\nTarget: 24",
"role": "user"
},
{
"content": "To solve the problem, we can break it down into simpler steps:\n\n1. First, let's multiply the two 2's together: 2 * 2 = 4.\n2. ... | ||
82 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 16 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 1 | [true] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by pairing the numbers in such a way that their sum, difference, product, or quotient equals the target number, in this case, 16.\n\nHere's one way to do it:\n\n1. We can pair 22 and 3, knowing that 22 - 3 = 19, which is close to 16.\n2. To get closer to 16... | null | countdown | To solve the problem, we can start by pairing the numbers in such a way that their sum, difference, product, or quotient equals the target number, in this case, 16.
Here's one way to do it:
1. We can pair 22 and 3, knowing that 22 - 3 = 19, which is close to 16.
2. To get closer to 16, we can then pair 9 with the res... | 82 | 0 | 22 - 6 = 16 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | true | [
[
"22 - 6 = 16"
],
[
""
],
[
"22 - 6 = 16",
"22 + 3 = 25, 9 * 3 = 27, 25 + 27 = 52, 52 + 6 = 58"
],
[
"Let's re-examine the pairing of numbers for achieving the exact target through direct addition, subtraction, multiplication, or division.",
"Step 1: 76 + 1 = 77"
],
[
"2... | [
[
true
],
[
false
],
[
true,
false
],
[
false,
false
],
[
true
],
[
true
]
] | [
[
""
],
[
"No answer"
],
[
"",
"Expected a single '=' separating expression and result"
],
[
"Expected a single '=' separating expression and result",
"Line uses unavailable numbers: Step 1: 76 + 1 = 77"
],
[
""
],
[
""
]
] | [
[
""
],
[
""
],
[
"",
""
],
[
"",
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by pairing the numbers in such a way that their sum, difference, product, or quotient equals the target number, in this case, 16.\n\nHere's one way to do it:\n\n1. We can pair 22 and 3, knowing that 22 - 3 = 19, which is close to 16.\n2. To get closer to 16, we can then pair 9 wi... | [
"22 - 6 = 16",
"",
"22 + 3 = 25, 9 * 3 = 27, 25 + 27 = 52, 52 + 6 = 58",
"Step 1: 76 + 1 = 77",
"22 - 6 = 16",
"Step 1: 22 - 6 = 16"
] | [
true,
false,
false,
false,
true,
true
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: 22 - 6 = 16\nWas Correct: True\nTarget: 16",
"role": "user"
},
{
"content": "To solve the problem, we can start by pairing the numbers in such a way that their sum, difference, product, or quotient equals the target number, in... | |||
83 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 17 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by pairing the numbers in such a way that their product is as close as possible to the target number while keeping the expression balanced. Here's how we can do it step by step:\n\n1. First, let's consider the numbers 3, 6, and 1. We can start by multiplyin... | null | countdown | To solve the problem, we can start by pairing the numbers in such a way that their product is as close as possible to the target number while keeping the expression balanced. Here's how we can do it step by step:
1. First, let's consider the numbers 3, 6, and 1. We can start by multiplying the first two numbers, 3 and... | 83 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | No answer | [
[
""
]
] | [
[
false
]
] | [
[
"No answer"
]
] | [
[
""
]
] | [
"To solve the problem, we can start by pairing the numbers in such a way that their product is as close as possible to the target number while keeping the expression balanced. Here's how we can do it step by step:\n\n1. First, let's consider the numbers 3, 6, and 1. We can start by multiplying the first two numbers... | [
""
] | [
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \nWas Correct: False\nTarget: 17",
"role": "user"
},
{
"content": "To solve the problem, we can start by pairing the numbers in such a way that their product is as close as possible to the target number while keeping the expre... | |||
84 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 23 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by breaking down the numbers and operations:\n\n15 (let's call it A)\n3 (let's call it B)\n22 (let's call it C)\n\nWe need to create an equation using these numbers that equals 23.\n\nStep 1: A - B = 15\nStep 2: C + B = 22\nStep 3: Now, we need to add these... | null | countdown | To solve the problem, we can start by breaking down the numbers and operations:
15 (let's call it A)
3 (let's call it B)
22 (let's call it C)
We need to create an equation using these numbers that equals 23.
Step 1: A - B = 15
Step 2: C + B = 22
Step 3: Now, we need to add these two equations to isolate A:
15 = A -... | 84 | 0 | \( \boxed{23} \) cannot be expressed using the numbers and operations provided and constraints accepted. | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Expected a single '=' separating expression and result | [
[
"\\( \\boxed{23} \\) cannot be expressed using the numbers and operations provided and constraints accepted."
],
[
""
],
[
""
]
] | [
[
false
],
[
false
],
[
false
]
] | [
[
"Expected a single '=' separating expression and result"
],
[
"No answer"
],
[
"No answer"
]
] | [
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by breaking down the numbers and operations:\n\n15 (let's call it A)\n3 (let's call it B)\n22 (let's call it C)\n\nWe need to create an equation using these numbers that equals 23.\n\nStep 1: A - B = 15\nStep 2: C + B = 22\nStep 3: Now, we need to add these two equations to isola... | [
"\\( \\boxed{23} \\) cannot be expressed using the numbers and operations provided and constraints accepted.",
"",
""
] | [
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \\( \\boxed{23} \\) cannot be expressed using the numbers and operations provided and constraints accepted.\nWas Correct: False\nTarget: 23",
"role": "user"
},
{
"content": "To solve the problem, we can start by breaking down ... | ||
85 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 17 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's add the first two numbers: 21 + 19 = 40\n2. Now, let's add the next two numbers: 22 + 7 = 29\n3. To get a result of 17, we need to subtract: 40 + 29 = 69\n4. Finally, we nee... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations accordingly:
1. First, let's add the first two numbers: 21 + 19 = 40
2. Now, let's add the next two numbers: 22 + 7 = 29
3. To get a result of 17, we need to subtract: 40 + 29 = 69
4. Finally, we need to subtract the sum from the pr... | 85 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | No answer | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"No answer"
],
[
"No answer"
],
[
"No answer"
],
[
"No answer"
],
[
"No answer"
],
[
"No answer"
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's add the first two numbers: 21 + 19 = 40\n2. Now, let's add the next two numbers: 22 + 7 = 29\n3. To get a result of 17, we need to subtract: 40 + 29 = 69\n4. Finally, we need to subtract the sum f... | [
"",
"",
"",
"",
"",
""
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \nWas Correct: False\nTarget: 17",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's add the first two numbers: 21 + 19 = 40\... | |||
86 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 23 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by pairing the numbers in such a way that their sum, product, or difference equals the target number, in this case, 23.\n\nHere's one way to do it:\n\n1. Pair 5 and 3. We can subtract 3 from 5 once, and the result will be 2.\n2. Now we need to pair 2 and 6.... | null | countdown | To solve the problem, we can start by pairing the numbers in such a way that their sum, product, or difference equals the target number, in this case, 23.
Here's one way to do it:
1. Pair 5 and 3. We can subtract 3 from 5 once, and the result will be 2.
2. Now we need to pair 2 and 6. To make 2, we can add 1 to 2, an... | 86 | 0 | Cannot be simplified into a single fraction form with the given numbers and operations | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Expected a single '=' separating expression and result | [
[
"Cannot be simplified into a single fraction form with the given numbers and operations"
],
[
"Step 1: Correct the initial pairing to (5 + 3) * (2 - 6) = 8 * -4 = -32"
],
[
"Step 1: Correct the initial pairing to (5 + 3) * (2 - 6) = 8 * -4 = -32"
],
[
"Step 1: (5 - 3) * (2 + 6) = 2 * 8... | [
[
false
],
[
false
],
[
false
],
[
false,
false
],
[
false
],
[
false
]
] | [
[
"Expected a single '=' separating expression and result"
],
[
"Could not evaluate line: Step 1: Correct the initial pairing to (5 + 3) * (2 - 6) = 8 * -4 = -32"
],
[
"Could not evaluate line: Step 1: Correct the initial pairing to (5 + 3) * (2 - 6) = 8 * -4 = -32"
],
[
"Could not evalu... | [
[
""
],
[
""
],
[
""
],
[
"",
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by pairing the numbers in such a way that their sum, product, or difference equals the target number, in this case, 23.\n\nHere's one way to do it:\n\n1. Pair 5 and 3. We can subtract 3 from 5 once, and the result will be 2.\n2. Now we need to pair 2 and 6. To make 2, we can add ... | [
"Cannot be simplified into a single fraction form with the given numbers and operations",
"Step 1: Correct the initial pairing to (5 + 3) * (2 - 6) = 8 * -4 = -32",
"Step 1: Correct the initial pairing to (5 + 3) * (2 - 6) = 8 * -4 = -32",
"It is not possible to simplify the given numbers and operations to eq... | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Cannot be simplified into a single fraction form with the given numbers and operations\nWas Correct: False\nTarget: 23",
"role": "user"
},
{
"content": "To solve the problem, we can start by pairing the numbers in such a way t... | ||
87 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 19 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem using the numbers 19, 10, 15, and 4, we can break it down into simpler steps:\n\n1. First, let's multiply 15 by 4:\n 15 * 4 = 60\n\n2. Now, let's add 10 to the result:\n 60 + 10 = 70\n\n3. Finally, let's subtract 19 from the result:\n 70 - 19 = 51\n\nSo, the final ... | null | countdown | To solve the problem using the numbers 19, 10, 15, and 4, we can break it down into simpler steps:
1. First, let's multiply 15 by 4:
15 * 4 = 60
2. Now, let's add 10 to the result:
60 + 10 = 70
3. Finally, let's subtract 19 from the result:
70 - 19 = 51
So, the final answer is 51. | 87 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | No answer | [
[
""
],
[
"Step 1: 15 * 4 = 60",
"Step 1: 15 * 4 = 60\nStep 2: 60 + 10 = 70",
"Step 1: 15 * 4 = 60\nStep 2: 60 + 10 = 70\nStep 3: 70 - 19 = 51",
"(51)"
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
[
false
],
[
false,
false,
false,
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"No answer"
],
[
"Incorrect final answer",
"Incorrect final answer",
"Incorrect final answer",
"Expected a single '=' separating expression and result"
],
[
"No answer"
],
[
"No answer"
],
[
"No answer"
],
[
"No answer"
]
] | [
[
""
],
[
"",
"",
"",
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem using the numbers 19, 10, 15, and 4, we can break it down into simpler steps:\n\n1. First, let's multiply 15 by 4:\n 15 * 4 = 60\n\n2. Now, let's add 10 to the result:\n 60 + 10 = 70\n\n3. Finally, let's subtract 19 from the result:\n 70 - 19 = 51\n\nSo, the final answer is 51.",
" But... | [
"",
"(51)",
"",
"",
"",
""
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \nWas Correct: False\nTarget: 19",
"role": "user"
},
{
"content": "To solve the problem using the numbers 19, 10, 15, and 4, we can break it down into simpler steps:\n\n1. First, let's multiply 15 by 4:\n 15 * 4 = 60\n\n2. N... | |||
88 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 24 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's add the last two numbers: 17 + 9 = 26\n2. Now, let's add the two middle numbers: 13 + 23 = 36\n3. Finally, let's add the first number to the result of the previous step: 26 ... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations accordingly:
1. First, let's add the last two numbers: 17 + 9 = 26
2. Now, let's add the two middle numbers: 13 + 23 = 36
3. Finally, let's add the first number to the result of the previous step: 26 + 36 = 62
So, the equation that... | 88 | 0 | tag is:
<answer>62 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Missing '=' in line: tag is: | [
[
"tag is:\n\n<answer>62"
],
[
""
]
] | [
[
false
],
[
false
]
] | [
[
"Missing '=' in line: tag is:"
],
[
"No answer"
]
] | [
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's add the last two numbers: 17 + 9 = 26\n2. Now, let's add the two middle numbers: 13 + 23 = 36\n3. Finally, let's add the first number to the result of the previous step: 26 + 36 = 62\n\nSo, the eq... | [
"tag is:\n\n<answer>62",
""
] | [
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: tag is:\n\n<answer>62\nWas Correct: False\nTarget: 24",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's add the last two nu... | ||
89 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 25 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number, which is 25 in this case.\n\n1. First, let's consider the multiplication and division operations. We can pair the numbers to make operations that might lead us to 25. \n\n2.... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number, which is 25 in this case.
1. First, let's consider the multiplication and division operations. We can pair the numbers to make operations that might lead us to 25.
2. One such pairing is:
[20 * ... | 89 | 0 | (20 * (9 - 1)) * 3 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Expected a single '=' separating expression and result | [
[
"(20 * (9 - 1)) * 3",
"(20 * 8) * 3 = 160 * 3 = 480"
],
[
"20*8*3=(20*8)*(3*=480)"
],
[
"Step 1: 20 * 8 = 160\nStep 2: 160 * 3 = 480",
"480"
],
[
"480"
],
[
""
],
[
"Corrected Answer: 20 * (9 - 1) = 180 + 20 = 200"
]
] | [
[
false,
false
],
[
false
],
[
false,
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"Expected a single '=' separating expression and result",
"Expected a single '=' separating expression and result"
],
[
"Expected a single '=' separating expression and result"
],
[
"Line uses unavailable numbers: Step 1: 20 * 8 = 160",
"Expected a single '=' separating expression and ... | [
[
"",
""
],
[
""
],
[
"",
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number, which is 25 in this case.\n\n1. First, let's consider the multiplication and division operations. We can pair the numbers to make operations that might lead us to 25. \n\n2. One such pairing is: \... | [
"(20 * 8) * 3 = 160 * 3 = 480",
"20*8*3=(20*8)*(3*=480)",
"480",
"480",
"",
"Corrected Answer: 20 * (9 - 1) = 180 + 20 = 200"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: (20 * 8) * 3 = 160 * 3 = 480\nWas Correct: False\nTarget: 25",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number, which is 25 ... | ||
90 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 17 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number. \n\nGiven numbers: 19, 19, 1, 22\n\nStep 1: We can group the first two numbers, 19 and 19, since they are identical. We can apply the same operation to them.\n\n19 + 19 = 38... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number.
Given numbers: 19, 19, 1, 22
Step 1: We can group the first two numbers, 19 and 19, since they are identical. We can apply the same operation to them.
19 + 19 = 38
Now we have: 38, 1, 22
Step 2: ... | 90 | 0 | \( (19 + 19) + (38 + 22) = 60\) | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Could not evaluate expression | [
[
"\\( (19 + 19) + (38 + 22) = 60\\)"
],
[
"Step 1: We can group the first two numbers, 19 and 19, since they are identical. We can apply the same operation to them: 19 + 19 = 38\nStep 2: Now we have: 38, 1, and the last number is 22. We can group the last two numbers, 22 and 1.",
"(19 + 19) + (38 +... | [
[
false
],
[
false,
false,
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"Could not evaluate expression"
],
[
"Could not evaluate line: Step 1: We can group the first two numbers, 19 and 19, since they are identical. We can apply the same operation to them: 19 + 19 = 38",
"Expression does not equal stated result",
"Expression does not equal stated result"
],
[
... | [
[
""
],
[
"",
"",
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number. \n\nGiven numbers: 19, 19, 1, 22\n\nStep 1: We can group the first two numbers, 19 and 19, since they are identical. We can apply the same operation to them.\n\n19 + 19 = 38\n\nNow we have: 38, 1,... | [
"\\( (19 + 19) + (38 + 22) = 60\\)",
"(19 + 19) + (38 + 1) = 60",
"(19 + 19) + (38 + 1) = 60",
"",
"60",
"(19 + 19) + (38 + 22) = 60"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \\( (19 + 19) + (38 + 22) = 60\\)\nWas Correct: False\nTarget: 17",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number. \n\nGiv... | ||
91 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 18 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's look at the last three numbers: 16, 17, and 21. We can add or subtract any two of these numbers, as long as we use all three exactly once. Let's try adding them:\n\n16 + 17 ... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations accordingly:
1. First, let's look at the last three numbers: 16, 17, and 21. We can add or subtract any two of these numbers, as long as we use all three exactly once. Let's try adding them:
16 + 17 + 21 = 54
However, we need to u... | 91 | 0 | (16 + 17 + 21) / 3 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Expected a single '=' separating expression and result | [
[
"(16 + 17 + 21) / 3"
],
[
"(16 * 2 + 21 * 1) / 3 = 18"
],
[
"Step 1: (16 + 21) / 3 = 54 / 3 = 18"
],
[
"Step 1: (16 + 21) / 3 = 18"
],
[
""
],
[
"(16 + 21) / (17 - 1) = 18"
]
] | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"Expected a single '=' separating expression and result"
],
[
"Expression does not equal stated result"
],
[
"Could not evaluate line: Step 1: (16 + 21) / 3 = 54 / 3 = 18"
],
[
"Incorrect arithmetic in line: Step 1: (16 + 21) / 3 = 18"
],
[
"No answer"
],
[
"Expression ... | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's look at the last three numbers: 16, 17, and 21. We can add or subtract any two of these numbers, as long as we use all three exactly once. Let's try adding them:\n\n16 + 17 + 21 = 54\n\nHowever, w... | [
"(16 + 17 + 21) / 3",
"(16 * 2 + 21 * 1) / 3 = 18",
"Step 1: (16 + 21) / 3 = 54 / 3 = 18",
"Step 1: (16 + 21) / 3 = 18",
"",
"(16 + 21) / (17 - 1) = 18"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: (16 + 17 + 21) / 3\nWas Correct: False\nTarget: 18",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's look at the last three... | ||
92 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 24 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's look at the last three numbers: 16, 12, and 14. We can group them as (16 * 12) + 14. This is based on the distributive property of multiplication over addition.\n\n2. Now, l... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations accordingly:
1. First, let's look at the last three numbers: 16, 12, and 14. We can group them as (16 * 12) + 14. This is based on the distributive property of multiplication over addition.
2. Now, let's calculate the first part: 1... | 92 | 0 | 3 * 16 + 12 + 14 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Expected a single '=' separating expression and result | [
[
"3 * 16 + 12 + 14"
],
[
""
],
[
"63",
"3 * 16 + 12 * 2 = 24",
"24"
],
[
""
],
[
"86"
],
[
"284"
]
] | [
[
false
],
[
false
],
[
false,
false,
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"Expected a single '=' separating expression and result"
],
[
"No answer"
],
[
"Expected a single '=' separating expression and result",
"Expression does not equal stated result",
"Expected a single '=' separating expression and result"
],
[
"No answer"
],
[
"Expected a... | [
[
""
],
[
""
],
[
"",
"",
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's look at the last three numbers: 16, 12, and 14. We can group them as (16 * 12) + 14. This is based on the distributive property of multiplication over addition.\n\n2. Now, let's calculate the firs... | [
"3 * 16 + 12 + 14",
"",
"24",
"",
"86",
"284"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: 3 * 16 + 12 + 14\nWas Correct: False\nTarget: 24",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's look at the last three n... | ||
93 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 20 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by pairing the numbers in such a way that their sum, difference, product, or quotient equals the target number, 20 in this case.\n\nStep 1: Pair the numbers 4 and 6.\n4 + 6 = 10, which is less than 20, so we need to try a different operation.\n\nStep 2: Pai... | null | countdown | To solve the problem, we can start by pairing the numbers in such a way that their sum, difference, product, or quotient equals the target number, 20 in this case.
Step 1: Pair the numbers 4 and 6.
4 + 6 = 10, which is less than 20, so we need to try a different operation.
Step 2: Pair the numbers 4 and 11.
4 * 11 = ... | 93 | 0 | 4 * 6 + 11 - 4 = 20 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Expression does not equal stated result | [
[
"4 * 6 + 11 - 4 = 20"
],
[
"Step 1: 4 * 6 = 24\nStep 2: 24 + 11 = 35\nStep 3: 35 - 4 = 31",
"4 * 6 + 11 - 4 = 20"
],
[
"4 * 6 + 11 - 4 = 20",
"Step 1: 4 * 6 = 24\nStep 2: 24 + 11 = 35\nStep 3: 35 - 4 = 31"
],
[
"Step 1: Add 4 and 6 to get 20."
],
[
""
],
[
"4 * ... | [
[
false
],
[
false,
false
],
[
false,
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"Expression does not equal stated result"
],
[
"Line uses unavailable numbers: Step 3: 35 - 4 = 31",
"Expression does not equal stated result"
],
[
"Expression does not equal stated result",
"Line uses unavailable numbers: Step 3: 35 - 4 = 31"
],
[
"Missing '=' in line: Step 1:... | [
[
""
],
[
"",
""
],
[
"",
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by pairing the numbers in such a way that their sum, difference, product, or quotient equals the target number, 20 in this case.\n\nStep 1: Pair the numbers 4 and 6.\n4 + 6 = 10, which is less than 20, so we need to try a different operation.\n\nStep 2: Pair the numbers 4 and 11.... | [
"4 * 6 + 11 - 4 = 20",
"4 * 6 + 11 - 4 = 20",
"Step 1: 4 * 6 = 24\nStep 2: 24 + 11 = 35\nStep 3: 35 - 4 = 31",
"Step 1: Add 4 and 6 to get 20.",
"",
"4 * 6 + 11 - 4 = 20"
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: 4 * 6 + 11 - 4 = 20\nWas Correct: False\nTarget: 20",
"role": "user"
},
{
"content": "To solve the problem, we can start by pairing the numbers in such a way that their sum, difference, product, or quotient equals the target n... | ||
94 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 23 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's group the numbers: [16, 21, 15, 2]\n\n2. We can start by subtracting the last number (2) from the first number (16), which gives us: \n 16 - 2 = 14\n\n3. Next, we can add ... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations accordingly:
1. First, let's group the numbers: [16, 21, 15, 2]
2. We can start by subtracting the last number (2) from the first number (16), which gives us:
16 - 2 = 14
3. Next, we can add the result from step 2 (14) to the ... | 94 | 0 | Step 1: 16 - 2 = 14
Step 2: 14 + 21 = 35
Step 3: 35 * 15 = 525
Step 4: 525 + 2 = 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Line uses unavailable numbers: Step 4: 525 + 2 = 527 | [
[
"Step 1: 16 - 2 = 14\nStep 2: 14 + 21 = 35\nStep 3: 35 * 15 = 525\nStep 4: 525 + 2 = 527"
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"Line uses unavailable numbers: Step 4: 525 + 2 = 527"
],
[
"No answer"
],
[
"No answer"
],
[
"No answer"
],
[
"No answer"
],
[
"No answer"
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations accordingly:\n\n1. First, let's group the numbers: [16, 21, 15, 2]\n\n2. We can start by subtracting the last number (2) from the first number (16), which gives us: \n 16 - 2 = 14\n\n3. Next, we can add the result from step 2 ... | [
"Step 1: 16 - 2 = 14\nStep 2: 14 + 21 = 35\nStep 3: 35 * 15 = 525\nStep 4: 525 + 2 = 527",
"",
"",
"",
"",
""
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 16 - 2 = 14\nStep 2: 14 + 21 = 35\nStep 3: 35 * 15 = 525\nStep 4: 525 + 2 = 527\nWas Correct: False\nTarget: 23",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying ... | ||
95 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 16 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem using the numbers [16, 4, 1, 21] with the operations (+, -, *, /), we can break it down into simpler steps.\n\n1. First, let's try to express 16 using the other numbers and operations:\n - We can start by expressing 16 as a product of two numbers: 16 = 4 * 4\n - Now ... | null | countdown | To solve the problem using the numbers [16, 4, 1, 21] with the operations (+, -, *, /), we can break it down into simpler steps.
1. First, let's try to express 16 using the other numbers and operations:
- We can start by expressing 16 as a product of two numbers: 16 = 4 * 4
- Now we need to express 4 in terms of... | 95 | 0 | (21 ** 0.5) ** 2 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Expected a single '=' separating expression and result | [
[
"(21 ** 0.5) ** 2",
"(21 - 1) ** 2",
"(21 + 4) * (21 - 1) = 16",
"16 = (4 * 4) = (2 * 2) * (2 * 2) = 4 * 4 = 16",
"4 * 4 = 16",
"4 * 4 = 16"
],
[
""
]
] | [
[
false,
false,
false,
false,
false,
false
],
[
false
]
] | [
[
"Expected a single '=' separating expression and result",
"Expected a single '=' separating expression and result",
"Expression does not equal stated result",
"Expected a single '=' separating expression and result",
"Expression uses an unavailable or repeated number",
"Expression uses an ... | [
[
"",
"",
"",
"",
"",
""
],
[
""
]
] | [
"To solve the problem using the numbers [16, 4, 1, 21] with the operations (+, -, *, /), we can break it down into simpler steps.\n\n1. First, let's try to express 16 using the other numbers and operations:\n - We can start by expressing 16 as a product of two numbers: 16 = 4 * 4\n - Now we need to express 4 in... | [
"4 * 4 = 16",
""
] | [
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: 4 * 4 = 16\nWas Correct: False\nTarget: 16",
"role": "user"
},
{
"content": "To solve the problem using the numbers [16, 4, 1, 21] with the operations (+, -, *, /), we can break it down into simpler steps.\n\n1. First, let's t... | ||
96 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 17 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by pairing the numbers in such a way that their sum or difference equals the target number 17.\n\n1. **Pairing the numbers**: \n - We can pair 15 with 8 and 4 to keep the operations simple.\n\n2. **Step 1**: \n - Use the number 15, which can be obtained... | null | countdown | To solve the problem, we can start by pairing the numbers in such a way that their sum or difference equals the target number 17.
1. **Pairing the numbers**:
- We can pair 15 with 8 and 4 to keep the operations simple.
2. **Step 1**:
- Use the number 15, which can be obtained by adding 8 and 7.
- So, we ha... | 96 | 0 | Step 1: 15
Step 2: 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Missing '=' in line: Step 1: 15 | [
[
"Step 1: 15\nStep 2: 24",
"Step 1: 15\nStep 2: 24",
"Step 1: 8 + 7 = 15\nStep 2: 15 - 11 = 4\nStep 3: 15 - 7 = 8"
]
] | [
[
false,
false,
false
]
] | [
[
"Missing '=' in line: Step 1: 15",
"Missing '=' in line: Step 1: 15",
"Line uses unavailable numbers: Step 1: 8 + 7 = 15"
]
] | [
[
"",
"",
""
]
] | [
"To solve the problem, we can start by pairing the numbers in such a way that their sum or difference equals the target number 17.\n\n1. **Pairing the numbers**: \n - We can pair 15 with 8 and 4 to keep the operations simple.\n\n2. **Step 1**: \n - Use the number 15, which can be obtained by adding 8 and 7.\n ... | [
"Step 1: 8 + 7 = 15\nStep 2: 15 - 11 = 4\nStep 3: 15 - 7 = 8"
] | [
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: 8 + 7 = 15\nStep 2: 15 - 11 = 4\nStep 3: 15 - 7 = 8\nWas Correct: False\nTarget: 17",
"role": "user"
},
{
"content": "To solve the problem, we can start by pairing the numbers in such a way that their sum or difference... | ||
97 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 13 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number. \n\nGiven numbers: 20, 17, 24\n\nStep 1:\u6211\u4eec\u7684\u76ee\u6807\u662f13\uff0c\u800c20\uff0c17\uff0c24\u7684\u6700\u5c0f\u516c\u500d\u6570\u662f1720\uff0c\u6240\u4ee5\... | null | countdown | To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number.
Given numbers: 20, 17, 24
Step 1:我们的目标是13，而20，17，24的最小公倍数是1720，所以我们从这里开始操作以减少数量。
Step 2: 20 - 17 = 3
Now we have the equation:
3 + 24 - 1720
Step 3: 3 + 24 = 27
我们的目标是达到13，而27远远超出了目标范围，所以我们需要逆转... | 97 | 0 | 无解 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Expected a single '=' separating expression and result | [
[
"无解"
],
[
""
]
] | [
[
false
],
[
false
]
] | [
[
"Expected a single '=' separating expression and result"
],
[
"No answer"
]
] | [
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number. \n\nGiven numbers: 20, 17, 24\n\nStep 1:我们的目标是13，而20，17，24的最小公倍数是1720，所以我们从这里开始操作以减少数量。\n\nStep 2: 20 - 17 = 3\n\nNow we have the equation:\n\n3 + 24 - 1720\n\nStep 3: 3 + 24 = 27\n\n我们的目标是达到13，而2... | [
"无解",
""
] | [
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: 无解\nWas Correct: False\nTarget: 13",
"role": "user"
},
{
"content": "To solve the problem, we can start by grouping the numbers and applying the operations that lead to the target number. \n\nGiven numbers: 20, 17, 24\n\nStep ... | ||
98 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 14 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem using the numbers 9, 14, 11, and 17, we can break it down into simpler steps:\n\n1. **Multiply the first two numbers**: \n \\[ 9 \\times 14 = 126 \\]\n\n2. **Multiply the next two numbers**:\n \\[ 11 \\times 17 = 187 \\]\n\n3. **Add the results from the previous step... | null | countdown | To solve the problem using the numbers 9, 14, 11, and 17, we can break it down into simpler steps:
1. **Multiply the first two numbers**:
\[ 9 \times 14 = 126 \]
2. **Multiply the next two numbers**:
\[ 11 \times 17 = 187 \]
3. **Add the results from the previous steps**:
\[ 126 + 187 = 313 \]
So, the fin... | 98 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | No answer | [
[
""
],
[
"Step 1: 1+1=2\nStep 2: 2*2=4"
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"No answer"
],
[
"Line uses unavailable numbers: Step 1: 1+1=2"
],
[
"No answer"
],
[
"No answer"
],
[
"No answer"
],
[
"No answer"
]
] | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem using the numbers 9, 14, 11, and 17, we can break it down into simpler steps:\n\n1. **Multiply the first two numbers**: \n \\[ 9 \\times 14 = 126 \\]\n\n2. **Multiply the next two numbers**:\n \\[ 11 \\times 17 = 187 \\]\n\n3. **Add the results from the previous steps**:\n \\[ 126 + 187 ... | [
"",
"Step 1: 1+1=2\nStep 2: 2*2=4",
"",
"",
"",
""
] | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: \nWas Correct: False\nTarget: 14",
"role": "user"
},
{
"content": "To solve the problem using the numbers 9, 14, 11, and 17, we can break it down into simpler steps:\n\n1. **Multiply the first two numbers**: \n \\[ 9 \\times... | |||
99 | {"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that... | 18 | {"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha... | 0 | [false] | samples_countdown_2025-06-05T16-47-54.910689.jsonl | [{"budget_forced_chunks": ["To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. One common approach is to use the distributive property of multiplication over addition.\n\nGiven numbers: 22, 16, 5, 15\n\nStep 1: Let's try to find a combination where we can manipulate the... | null | countdown | To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. One common approach is to use the distributive property of multiplication over addition.
Given numbers: 22, 16, 5, 15
Step 1: Let's try to find a combination where we can manipulate the grouping of numbers to simplify... | 99 | 0 | Step 1: Grouping the numbers as (22 + 16) * (5 + 15)
Now we can calculate:
22 + 16 = 38
5 + 15 = 20
So the equation becomes: 38 * 20
Step 2: Multiply 38 by 20.
38 * 20 = 760
Therefore, the final answer is: 760 | 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
[{'role': 'system', 'content': 'Solve the problem step by step. Write your th... | 0 | false | Missing '=' in line: Step 1: Grouping the numbers as (22 + 16) * (5 + 15) | [
[
"Step 1: Grouping the numbers as (22 + 16) * (5 + 15)\n\nNow we can calculate: \n22 + 16 = 38\n5 + 15 = 20\n\nSo the equation becomes: 38 * 20\n\nStep 2: Multiply 38 by 20.\n38 * 20 = 760\n\nTherefore, the final answer is: 760"
],
[
"\\boxed{760}"
],
[
"Step 1: Creating two numbers: 1.5 and 12... | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[
"Missing '=' in line: Step 1: Grouping the numbers as (22 + 16) * (5 + 15)"
],
[
"Expected a single '=' separating expression and result"
],
[
"Missing '=' in line: Step 1: Creating two numbers: 1.5 and 12 from the given numbers."
],
[
"Missing '=' in line: Step 2: Multiply 1.5 by 12."... | [
[
""
],
[
""
],
[
""
],
[
""
],
[
""
],
[
""
]
] | [
"To solve the problem, we can start by grouping the numbers in a way that makes sense mathematically. One common approach is to use the distributive property of multiplication over addition.\n\nGiven numbers: 22, 16, 5, 15\n\nStep 1: Let's try to find a combination where we can manipulate the grouping of numbers to... | [
"Step 1: Grouping the numbers as (22 + 16) * (5 + 15)\n\nNow we can calculate: \n22 + 16 = 38\n5 + 15 = 20\n\nSo the equation becomes: 38 * 20\n\nStep 2: Multiply 38 by 20.\n38 * 20 = 760\n\nTherefore, the final answer is: 760",
"\\boxed{760}",
"Step 1: Creating two numbers: 1.5 and 12 from the given numbers.\n... | [
false,
false,
false,
false,
false,
false
] | [
{
"content": "Initial Response\n\nEval Type: countdown\nExtracted Answer: Step 1: Grouping the numbers as (22 + 16) * (5 + 15)\n\nNow we can calculate: \n22 + 16 = 38\n5 + 15 = 20\n\nSo the equation becomes: 38 * 20\n\nStep 2: Multiply 38 by 20.\n38 * 20 = 760\n\nTherefore, the final answer is: 760\nWas Correct... |
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