question stringlengths 7 989 | answer stringlengths 0 28 | task_config stringclasses 15
values | task_source stringclasses 6
values | prompt listlengths 1 1 | model_responses listlengths 0 0 | model_responses__eval_is_correct listlengths 0 0 | all_other_columns stringlengths 102 6.44k | original_split stringclasses 1
value | acronym stringclasses 341
values | answer_index int64 0 4 ⌀ | answer_key stringclasses 5
values | choices dict | difficulty stringclasses 1
value | domain stringclasses 1
value | evaluation_type stringclasses 1
value | expected_answer_format stringclasses 1
value | formed_acronym stringclasses 341
values | id stringclasses 200
values | length int64 4 8 ⌀ | letters stringclasses 500
values | metadata stringlengths 2 158 | original_answer stringclasses 100
values | prompt__few_shot listlengths 2 17 ⌀ | source stringclasses 501
values | task_type stringclasses 1
value | variant stringclasses 1
value | word_count int64 4 8 ⌀ | words listlengths 4 8 ⌀ | model_responses__best_of_n_atags listlengths 16 16 | model_responses__best_of_n_atags__finish_reason_length_flags listlengths 16 16 | model_responses__best_of_n_atags__length_partial_responses listlengths 16 16 | prompt__best_of_n_atags__metadata stringlengths 766 1.37k | model_responses__best_of_n_atags__metadata stringclasses 1
value | model_responses__best_of_n_atags__eval_is_correct listlengths 16 16 | model_responses__best_of_n_atags__eval_extracted_answers listlengths 16 16 | model_responses__best_of_n_atags__eval_extraction_metadata stringlengths 480 4.67k | model_responses__best_of_n_atags__eval_evaluation_metadata stringlengths 897 5.23k | model_responses__best_of_n_atags__internal_answers__eval_is_correct listlengths 16 16 ⌀ | model_responses__best_of_n_atags__internal_answers__eval_extracted_answers listlengths 16 16 ⌀ | model_responses__best_of_n_atags__internal_answers__eval_extraction_metadata stringlengths 2 8.06k | model_responses__best_of_n_atags__internal_answers__eval_evaluation_metadata stringlengths 2 4.23k | model_responses__best_of_n_atags__metrics dict | eval_date stringdate 2025-09-21 00:00:00 2025-09-21 00:00:00 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [73, 48], create an equation that equals 121. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 48 + 73 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [73, 48], create an equation that equals 121. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6756, \"numbers\": [73, 48], \"target\": 121, \"expression\": \"48 + 73\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6756, "numbers": [73, 48], "target": 121, "expression": "48 + 73"} | null | null | null | null | null | null | null | [
"To solve this problem, we need to find a way to use the numbers 73 and 48 with basic arithmetic operations to get the result 121 using exactly these two numbers. Here’s how we can do it:\n\n1. **Identify the goal**: We need to achieve 121 using 73 and 48.\n2. **Consider possible combinations**:\n - Addition migh... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
true,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
true
] | [
"(73 + 48)",
null,
null,
null,
"\\(73 + 48 = 121\\)",
null,
null,
null,
"\\(73 + 48 = 121\\)",
null,
"\\(73 + 48 = 121\\)",
null,
null,
null,
"(73 * 48)",
"73 + 48"
] | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1475, "span_end": 1486, "original_span": "(73 + 48)"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1... | [{"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "... | [
[
true
],
[],
[],
[],
[
false
],
[],
[],
[],
[
false
],
[],
[
false
],
[],
[],
[],
[
false
],
[
true
]
] | [
[
"(73 + 48)"
],
[],
[],
[],
[
"\\(73 + 48 = 121\\)"
],
[],
[],
[],
[
"\\(73 + 48 = 121\\)"
],
[],
[
"\\(73 + 48 = 121\\)"
],
[],
[],
[],
[
"(73 * 48)"
],
[
"73 + 48"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 1475, "span_text": "(73 + 48)", "extraction_type": "internal", "span_start": 1475, "span_end": 1486, "original_span": "(73 + 48)"}], [], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1256, "span_text": "\\(73 + 48 = 121\\)", "extra... | [[{"is_correct": true, "error": null, "answer_block": "(73 + 48)", "final_answer": 121.0}], [], [], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(73 + 48 = 121\\)", "final_answer": null}], [], [], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_blo... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 2,
"pass_at_n": 1,
"percent_correct": 0.125,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [14, 54], create an equation that equals 756. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 14*54 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [14, 54], create an equation that equals 756. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6685, \"numbers\": [14, 54], \"target\": 756, \"expression\": \"14*54\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6685, "numbers": [14, 54], "target": 756, "expression": "14*54"} | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 14 and 54 with the operations available (addition, subtraction, multiplication, division), we need to find a way to combine these numbers to get exactly 756.\n\n### Step-by-Step Solution:\n\n1. **Multiply 14 and 54**:\n \\[\n 14 \\times 54 = 756\n \\]\n \n This dir... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
null,
"\\(756\\)",
null,
"\\( 14 \\times 54 = 756 \\)",
null,
"\\( 14 \\times 54 = 756 \\)",
null,
"\\( 54 \\times 14 = 756 \\)",
null,
null,
"\\( 14 \\times 54 = 756 \\)",
"\\( 14 \\times 54 \\)",
"\\(14 * 54 = 756\\)",
null,
null,
null
] | [{"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 514, "span_end": 523, "original_span": "\\(756\\)"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 703, "span_end":... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(756\\)", "final_answer": null}, {"evaluation_method": "response_processor", "reason": "no_extracted_answ... | [
[],
[
false
],
[],
[
false
],
[],
[
false
],
[],
[
false
],
[],
[],
[
false
],
[
false
],
[
false
],
[],
[],
[]
] | [
[],
[
"\\(756\\)"
],
[],
[
"\\( 14 \\times 54 = 756 \\)"
],
[],
[
"\\( 14 \\times 54 = 756 \\)"
],
[],
[
"\\( 54 \\times 14 = 756 \\)"
],
[],
[],
[
"\\( 14 \\times 54 = 756 \\)"
],
[
"\\( 14 \\times 54 \\)"
],
[
"\\(14 * 54 = 756\\)"
],
[],
[],
... | [[], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 514, "span_text": "\\(756\\)", "extraction_type": "internal", "span_start": 514, "span_end": 523, "original_span": "\\(756\\)"}], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 703, "span_text": "\\( 14 \\times 54 = 756 \\)", "extra... | [[], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(756\\)", "final_answer": null}], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 14 \\times 54 = 756 \\)", "final_answer": null}], [], [{"is_correct": false, "error": "Could not evaluate e... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [40, 70], create an equation that equals 110. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 40 + 70 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [40, 70], create an equation that equals 110. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5824, \"numbers\": [40, 70], \"target\": 110, \"expression\": \"40 + 70\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5824, "numbers": [40, 70], "target": 110, "expression": "40 + 70"} | null | null | null | null | null | null | null | [
"To solve for 110 using the numbers 40 and 70 with basic arithmetic operations (addition, subtraction, multiplication, division), we need to find a combination that works. Here’s how we can do it:\n\n### Step-by-Step Solution\n\n1. **Add 40 and 70**: This will give us a sum.\n \\[\n 40 + 70 = 110\n \\]\n\n###... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
true,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
true,
false,
false
] | [
null,
null,
"(40 + 70)",
null,
null,
"\\( 40 \\times 70 - 40 \\div 40 = 110 \\)",
null,
"\\(40 + 70 = 110\\)",
null,
"\\(40 + 70 = 110\\)",
null,
null,
null,
"40 + 70 = 110",
null,
"\\( 40 + 70 = 110 \\)"
] | [{"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 719, "span_end": 730, "original_span": "(40 + 70)"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": true, "error": null, "answer_block": "(40 ... | [
[],
[],
[
true
],
[],
[],
[
false
],
[],
[
false
],
[],
[
false
],
[],
[],
[],
[
true
],
[],
[
false
]
] | [
[],
[],
[
"(40 + 70)"
],
[],
[],
[
"\\( 40 \\times 70 - 40 \\div 40 = 110 \\)"
],
[],
[
"\\(40 + 70 = 110\\)"
],
[],
[
"\\(40 + 70 = 110\\)"
],
[],
[],
[],
[
"40 + 70 = 110"
],
[],
[
"\\( 40 + 70 = 110 \\)"
]
] | [[], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 719, "span_text": "(40 + 70)", "extraction_type": "internal", "span_start": 719, "span_end": 730, "original_span": "(40 + 70)"}], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 842, "span_text": "\\( 40 \\times 70 - 40 \\div... | [[], [], [{"is_correct": true, "error": null, "answer_block": "(40 + 70)", "final_answer": 110.0}], [], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 40 \\times 70 - 40 \\div 40 = 110 \\)", "final_answer": null}], [], [{"is_correct": false, "error": "Could not evaluate expres... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 2,
"pass_at_n": 1,
"percent_correct": 0.125,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [30, 31], create an equation that equals 930. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 31*30 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [30, 31], create an equation that equals 930. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5930, \"numbers\": [30, 31], \"target\": 930, \"expression\": \"31*30\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5930, "numbers": [30, 31], "target": 930, "expression": "31*30"} | null | null | null | null | null | null | null | [
"To solve the problem using the numbers 30 and 31, we need to create an equation that equals 930. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to get the result as close to 930 as possible.\n \n2. **Use the available numbers**:\n - We have two numbers: 30 and 3... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
true,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"(30 * 31)",
null,
null,
"\\(30 \\times 31 = 930\\)",
"\\(30 \\times 31\\)",
null,
null,
"\\(31 \\times 30 = 930\\)",
"\\( 30 \\times 31 \\)",
null,
null,
"\\(30 \\times 31 = 930\\)",
"\\( 31 \\times 30 = 930 \\)",
null,
null,
"\\(31 \\times 3 - 10 + 30 - 23\\)"
] | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1071, "span_end": 1082, "original_span": "(30 * 31)"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1158, "span_en... | [{"is_correct": true, "error": null, "answer_block": "(30 * 31)", "final_answer": 930.0}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "... | [
[
true
],
[],
[],
[
false
],
[
false
],
[],
[],
[
false
],
[
false
],
[],
[],
[
false
],
[
false
],
[],
[],
[
false
]
] | [
[
"(30 * 31)"
],
[],
[],
[
"\\(30 \\times 31 = 930\\)"
],
[
"\\(30 \\times 31\\)"
],
[],
[],
[
"\\(31 \\times 30 = 930\\)"
],
[
"\\( 30 \\times 31 \\)"
],
[],
[],
[
"\\(30 \\times 31 = 930\\)"
],
[
"\\( 31 \\times 30 = 930 \\)"
],
[],
[],
[
... | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 1071, "span_text": "(30 * 31)", "extraction_type": "internal", "span_start": 1071, "span_end": 1082, "original_span": "(30 * 31)"}], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1158, "span_text": "\\(30 \\times 31 = 930\\)", "ext... | [[{"is_correct": true, "error": null, "answer_block": "(30 * 31)", "final_answer": 930.0}], [], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(30 \\times 31 = 930\\)", "final_answer": null}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(3... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 1,
"pass_at_n": 1,
"percent_correct": 0.0625,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [25, 78], create an equation that equals 103. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 25 + 78 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [25, 78], create an equation that equals 103. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5864, \"numbers\": [25, 78], \"target\": 103, \"expression\": \"25 + 78\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5864, "numbers": [25, 78], "target": 103, "expression": "25 + 78"} | null | null | null | null | null | null | null | [
"To solve for the equation using the numbers 25 and 78 that equals 103, we need to follow these steps:\n\n1. First, let's consider how we can combine these two numbers to get close to 103.\n2. We know that \\(25 \\times 4 = 100\\), which is very close but not quite enough.\n3. Adding one more to 100 will make it eq... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
true,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"Step 1: 25 + 78 = 103",
null,
null,
"\\(25 + (78 - 25) = 103\\)",
null,
null,
null,
"\\(25 + 25 + 78 - 25\\)",
"\\( 25 + 78 = 103 \\)",
null,
null,
"\\( 25 + 78 = 103 \\)",
"\\(25 + 78 = 103\\)",
"\\(25 \\times 4 + 78 - 78 \\div 1 + 3\\)",
"\\(25 + 78 = 103\\)",
null
] | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 938, "span_end": 961, "original_span": "Step 1: 25 + 78 = 103"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1971... | [{"is_correct": true, "error": null, "answer_block": "Step 1: 25 + 78 = 103", "final_answer": 103.0}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extractio... | [
[
true
],
[],
[],
[
false
],
[],
[],
[],
[
false
],
[
false
],
[],
[],
[
false
],
[
false
],
[
false
],
[
false
],
[]
] | [
[
"Step 1: 25 + 78 = 103"
],
[],
[],
[
"\\(25 + (78 - 25) = 103\\)"
],
[],
[],
[],
[
"\\(25 + 25 + 78 - 25\\)"
],
[
"\\( 25 + 78 = 103 \\)"
],
[],
[],
[
"\\( 25 + 78 = 103 \\)"
],
[
"\\(25 + 78 = 103\\)"
],
[
"\\(25 \\times 4 + 78 - 78 \\div 1 + 3\\)... | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 938, "span_text": "Step 1: 25 + 78 = 103", "extraction_type": "internal", "span_start": 938, "span_end": 961, "original_span": "Step 1: 25 + 78 = 103"}], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1971, "span_text": "\\(25 + (78... | [[{"is_correct": true, "error": null, "answer_block": "Step 1: 25 + 78 = 103", "final_answer": 103.0}], [], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(25 + (78 - 25) = 103\\)", "final_answer": null}], [], [], [], [{"is_correct": false, "error": "Could not evaluate expressio... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 1,
"pass_at_n": 1,
"percent_correct": 0.0625,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [85, 76], create an equation that equals 161. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 76 + 85 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [85, 76], create an equation that equals 161. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6120, \"numbers\": [85, 76], \"target\": 161, \"expression\": \"76 + 85\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6120, "numbers": [85, 76], "target": 161, "expression": "76 + 85"} | null | null | null | null | null | null | null | [
"To solve this problem using the given numbers [85, 76], we need to find a way to get the target number 161 through basic arithmetic operations (addition, subtraction, multiplication, division). We can start with one of these numbers and perform operations on it until we reach our target.\n\n### Step-by-Step Soluti... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
true,
false,
false,
false,
false,
true,
false,
false,
false,
false,
false,
false
] | [
null,
null,
"\\( 85 + 76 = 161 \\)",
"\\( 85 + 76 = 161 \\)",
"85 + 76 = 161",
null,
null,
null,
null,
"85 + 76 = 161",
null,
"\\( (85 + 76) = 161 \\)",
null,
null,
null,
"\\( 85 + 76 = 161 \\)"
] | [{"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 732, "span_end": 753, "original_span": "\\( 85 + 76 = 161 \\)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 618,... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": false, "error": "Could not evaluate expres... | [
[],
[],
[
false
],
[
false
],
[
true
],
[],
[],
[],
[],
[
true
],
[],
[
false
],
[],
[],
[],
[
false
]
] | [
[],
[],
[
"\\( 85 + 76 = 161 \\)"
],
[
"\\( 85 + 76 = 161 \\)"
],
[
"85 + 76 = 161"
],
[],
[],
[],
[],
[
"85 + 76 = 161"
],
[],
[
"\\( (85 + 76) = 161 \\)"
],
[],
[],
[],
[
"\\( 85 + 76 = 161 \\)"
]
] | [[], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 732, "span_text": "\\( 85 + 76 = 161 \\)", "extraction_type": "internal", "span_start": 732, "span_end": 753, "original_span": "\\( 85 + 76 = 161 \\)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 618, "span_text": "\\( 85 + 76 ... | [[], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 85 + 76 = 161 \\)", "final_answer": null}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 85 + 76 = 161 \\)", "final_answer": null}], [{"is_correct": true, "error": null, "answer_block"... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 2,
"pass_at_n": 1,
"percent_correct": 0.125,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [45, 75], create an equation that equals 120. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 45 + 75 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [45, 75], create an equation that equals 120. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5533, \"numbers\": [45, 75], \"target\": 120, \"expression\": \"45 + 75\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5533, "numbers": [45, 75], "target": 120, "expression": "45 + 75"} | null | null | null | null | null | null | null | [
"To solve for 120 using the numbers 45 and 75 with basic arithmetic operations and ensuring each number is used exactly once, we need to find a combination of these two numbers that will yield the result 120.\n\n### Step-by-Step Solution:\n\n1. **First Operation**: We start with the larger number, which is 75.\n ... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
true,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"\\( 45 + \\frac{75}{6} \\times 10 = 120 \\)",
null,
"\\( 30 \\times 4 \\)",
"\\( 45 + 75 = 120 \\)",
"45 + 75 = 120",
null,
"((45 + 75) * 2) - 60",
null,
null,
"\\(45 + 75 = 120\\)",
null,
null,
"\\( 45 + 75 = 120 \\)",
"\\boxed{45 + 75}",
null,
"None of the above."
] | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1215, "span_end": 1256, "original_span": "\\( 45 + \\frac{75}{6} \\times 10 = 120 \\)"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1514, "spa... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 45 + \\frac{75}{6} \\times 10 = 120 \\)", "final_answer": null}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": false, "error": "Could ... | [
[
false
],
[],
[
false
],
[
false
],
[
true
],
[],
[
false
],
[],
[],
[
false
],
[],
[],
[
false
],
[
false
],
[],
[
false
]
] | [
[
"\\( 45 + \\frac{75}{6} \\times 10 = 120 \\)"
],
[],
[
"\\( 30 \\times 4 \\)"
],
[
"\\( 45 + 75 = 120 \\)"
],
[
"45 + 75 = 120"
],
[],
[
"((45 + 75) * 2) - 60"
],
[],
[],
[
"\\(45 + 75 = 120\\)"
],
[],
[],
[
"\\( 45 + 75 = 120 \\)"
],
[
"\\bo... | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 1215, "span_text": "\\( 45 + \\frac{75}{6} \\times 10 = 120 \\)", "extraction_type": "internal", "span_start": 1215, "span_end": 1256, "original_span": "\\( 45 + \\frac{75}{6} \\times 10 = 120 \\)"}], [], [{"pattern_used": "answer tag", "confidence": 1.0, ... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 45 + \\frac{75}{6} \\times 10 = 120 \\)", "final_answer": null}], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 30 \\times 4 \\)", "final_answer": null}], [{"is_correct": false, "error": "C... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 1,
"pass_at_n": 1,
"percent_correct": 0.0625,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [62, 14], create an equation that equals 868. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 14*62 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [62, 14], create an equation that equals 868. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5746, \"numbers\": [62, 14], \"target\": 868, \"expression\": \"14*62\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5746, "numbers": [62, 14], "target": 868, "expression": "14*62"} | null | null | null | null | null | null | null | [
"To solve the problem using the numbers [62, 14] to equal 868 with each number used exactly once, we need to follow these steps:\n\n### Step-by-Step Solution\n\n1. **Add 62 and 14**:\n \\[\n 62 + 14 = 76\n \\]\n\n2. **Multiply the result by 14**:\n \\[\n 76 * 14 = 1064\n \\]\n\n3. **Subtract 19 from the... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"(1078 + 14) - (868 - 1078) = 868",
null,
null,
"\\( (14 \\times 63) + 86 \\)",
null,
null,
null,
"\\( (62 + 14) * 11.5 = 868 \\)",
"\\( 62 \\times 14 \\)",
"\\( 62 \\times 14 = 868 \\)",
"\\( 62 \\times 14 = 868 \\)",
null,
"\\(62 \\times 14 = 868\\)",
null,
"\\( 62 \\times 14 \\)",
n... | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 2662, "span_end": 2696, "original_span": "(1078 + 14) - (868 - 1078) = 868"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span... | [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(1078 + 14) - (868 - 1078) = 868", "final_answer": 868.0}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_proces... | [
[
false
],
[],
[],
[
false
],
[],
[],
[],
[
false
],
[
false
],
[
false
],
[
false
],
[],
[
false
],
[],
[
false
],
[]
] | [
[
"(1078 + 14) - (868 - 1078) = 868"
],
[],
[],
[
"\\( (14 \\times 63) + 86 \\)"
],
[],
[],
[],
[
"\\( (62 + 14) * 11.5 = 868 \\)"
],
[
"\\( 62 \\times 14 \\)"
],
[
"\\( 62 \\times 14 = 868 \\)"
],
[
"\\( 62 \\times 14 = 868 \\)"
],
[],
[
"\\(62 \\time... | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 2662, "span_text": "(1078 + 14) - (868 - 1078) = 868", "extraction_type": "internal", "span_start": 2662, "span_end": 2696, "original_span": "(1078 + 14) - (868 - 1078) = 868"}], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1635, ... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(1078 + 14) - (868 - 1078) = 868", "final_answer": 868.0}], [], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (14 \\times 63) + 86 \\)", "final_answer": null}], [], [], [], [{"is_corr... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [87, 6], create an equation that equals 522. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 6*87 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [87, 6], create an equation that equals 522. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5021, \"numbers\": [87, 6], \"target\": 522, \"expression\": \"6*87\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5021, "numbers": [87, 6], "target": 522, "expression": "6*87"} | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 87 and 6, we need to find a way to combine them into an expression that equals 522. Here’s how we can do it:\n\n### Step-by-Step Solution\n\n**Step 1:** Multiply 87 by 6.\n\\[ 87 \\times 6 = 522 \\]\n\nThis multiplication directly gives us the result of 522 without needing a... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
true,
false,
false,
false
] | [
null,
null,
null,
"\\(60 \\times 6 + 27 \\times 6 = 522\\)",
"\\(87 \\times 6 = 522\\)",
"\\(87 \\times 6 = 522\\)",
"\\( 87 \\times 6 \\)",
null,
null,
"\\( Step 1: 87 + 6 = 93 \\)",
null,
null,
"(87 * 6)",
"\\( 87 \\times 6 = 522 \\)",
"\\( 87 \\times 6 = 522 \\)",
"\\( 87 \\times 6 ... | [{"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1594, "span_end": 1631, "original_span": "\\(60 \\times 6 + 27 \\times 6 = 522\\)"}, {"extraction_type": "final", "total_spans_found":... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no... | [
[],
[],
[],
[
false
],
[
false
],
[
false
],
[
false
],
[],
[],
[
false
],
[],
[],
[
true
],
[
false
],
[
false
],
[
false
]
] | [
[],
[],
[],
[
"\\(60 \\times 6 + 27 \\times 6 = 522\\)"
],
[
"\\(87 \\times 6 = 522\\)"
],
[
"\\(87 \\times 6 = 522\\)"
],
[
"\\( 87 \\times 6 \\)"
],
[],
[],
[
"\\( Step 1: 87 + 6 = 93 \\)"
],
[],
[],
[
"(87 * 6)"
],
[
"\\( 87 \\times 6 = 522 \\)"
... | [[], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1594, "span_text": "\\(60 \\times 6 + 27 \\times 6 = 522\\)", "extraction_type": "internal", "span_start": 1594, "span_end": 1631, "original_span": "\\(60 \\times 6 + 27 \\times 6 = 522\\)"}], [{"pattern_used": "answer tag", "confidence": 1.0, ... | [[], [], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(60 \\times 6 + 27 \\times 6 = 522\\)", "final_answer": null}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(87 \\times 6 = 522\\)", "final_answer": null}], [{"is_correct": false, "er... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 1,
"pass_at_n": 1,
"percent_correct": 0.0625,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [90, 66], create an equation that equals 156. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 90 + 66 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [90, 66], create an equation that equals 156. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6819, \"numbers\": [90, 66], \"target\": 156, \"expression\": \"90 + 66\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6819, "numbers": [90, 66], "target": 156, "expression": "90 + 66"} | null | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers 90 and 66 exactly once and apply basic arithmetic operations (+, -, *, /) to get the target number, which is 156.\n\n### Step-by-Step Solution:\n\n1. **Addition**: Start with adding 90 and 66.\n \\[\n 90 + 66 = 156\n \\]\n\nThis simple addition directly gives... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
true,
false,
false,
false,
false,
false,
false,
false
] | [
null,
null,
"\\(90 \\times 66 - 4 \\times 156 = 156\\)",
null,
null,
"(90 * 6) + 66",
null,
"\\( (90 \\times 2) - 24 = 156 \\)",
"(90 + 66) = 156",
null,
"\\(66 + 90 = 156\\)",
"\\(90 + 66 = 156\\)",
null,
null,
"Step 1: \\( 5940 - 5884 = 56 \\)\nStep 2: \\( 56 + 100 = 156 \\)",
null
] | [{"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 2573, "span_end": 2612, "original_span": "\\(90 \\times 66 - 4 \\times 156 = 156\\)"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": false, "error": "Could not evaluate expres... | [
[],
[],
[
false
],
[],
[],
[
false
],
[],
[
false
],
[
true
],
[],
[
false
],
[
false
],
[],
[],
[
false
],
[]
] | [
[],
[],
[
"\\(90 \\times 66 - 4 \\times 156 = 156\\)"
],
[],
[],
[
"(90 * 6) + 66"
],
[],
[
"\\( (90 \\times 2) - 24 = 156 \\)"
],
[
"(90 + 66) = 156"
],
[],
[
"\\(66 + 90 = 156\\)"
],
[
"\\(90 + 66 = 156\\)"
],
[],
[],
[
"Step 1: \\( 5940 - 5884 =... | [[], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 2573, "span_text": "\\(90 \\times 66 - 4 \\times 156 = 156\\)", "extraction_type": "internal", "span_start": 2573, "span_end": 2612, "original_span": "\\(90 \\times 66 - 4 \\times 156 = 156\\)"}], [], [], [{"pattern_used": "answer tag", "confidence... | [[], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(90 \\times 66 - 4 \\times 156 = 156\\)", "final_answer": null}], [], [], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(90 * 6) + 66", "final_answer": 156.0}], [], [{"is_correct": ... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 1,
"pass_at_n": 1,
"percent_correct": 0.0625,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [17, 92], create an equation that equals 109. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 17 + 92 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [17, 92], create an equation that equals 109. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5462, \"numbers\": [17, 92], \"target\": 109, \"expression\": \"17 + 92\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5462, "numbers": [17, 92], "target": 109, "expression": "17 + 92"} | null | null | null | null | null | null | null | [
"To solve for 109 using the numbers 17 and 92 with the given constraints (each number used only once), we need to find a combination of addition, subtraction, multiplication, and division that will result in 109. Let's break down the process:\n\n### Step-by-Step Solution\n\n**Step 1:** Start with the two numbers pr... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
null,
null,
null,
"\\(17 + 92 = 109\\)",
"\\( (17 + 92) / 2 \\)",
"\\( 17 + 92 = 109 \\)",
"(92 - 17) + 17",
"\\(17 + 92\\)",
"\\(17 + 92 = 109\\)",
null,
"\\(17 + 92 = 109\\)",
null,
null,
"\\( 17 + 92 = 109 \\)",
null,
null
] | [{"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 778, "span_end": 797, "original_span": "\\(17 + 92 = 109\\)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_s... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no... | [
[],
[],
[],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[],
[
false
],
[],
[],
[
false
],
[],
[]
] | [
[],
[],
[],
[
"\\(17 + 92 = 109\\)"
],
[
"\\( (17 + 92) / 2 \\)"
],
[
"\\( 17 + 92 = 109 \\)"
],
[
"(92 - 17) + 17"
],
[
"\\(17 + 92\\)"
],
[
"\\(17 + 92 = 109\\)"
],
[],
[
"\\(17 + 92 = 109\\)"
],
[],
[],
[
"\\( 17 + 92 = 109 \\)"
],
[],
... | [[], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 778, "span_text": "\\(17 + 92 = 109\\)", "extraction_type": "internal", "span_start": 778, "span_end": 797, "original_span": "\\(17 + 92 = 109\\)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 453, "span_text": "\\( (17 + 92... | [[], [], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(17 + 92 = 109\\)", "final_answer": null}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (17 + 92) / 2 \\)", "final_answer": null}], [{"is_correct": false, "error": "Could not evalua... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [32, 20], create an equation that equals 640. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 32*20 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [32, 20], create an equation that equals 640. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6675, \"numbers\": [32, 20], \"target\": 640, \"expression\": \"32*20\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6675, "numbers": [32, 20], "target": 640, "expression": "32*20"} | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 32 and 20, we need to find an equation that equals 640 with these two numbers only once each. Let's break down the process:\n\n1. **Identify the target**: The goal is to get the result as 640.\n2. **Consider possible combinations**: We have two numbers, 32 and 20, which we w... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
true,
false,
false,
false,
false,
false,
false,
false
] | [
"\\( 32 \\times 20 = 640 \\)",
"\\( 32 \\times 20 = 640 \\)",
null,
null,
"\\( 32 \\times 20 \\)",
null,
null,
"\\(32 \\times 20 = 640\\)",
"(32 * 20)",
null,
"\\( 32 \\times 20 = 640 \\)",
"\\( 32 \\times 20 \\)",
null,
"\\(32 \\times 20 = 640\\)",
null,
"(32 + 20) * (20 / 8) * 12 = 6... | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1067, "span_end": 1093, "original_span": "\\( 32 \\times 20 = 640 \\)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 478, "span_end": 504, "original_span": "\\( 32 \\times 2... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 32 \\times 20 = 640 \\)", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 32 \\times 20 = 640 \\)", "final_answer": null}, {"evaluation_method": "response_processor", "reason... | [
[
false
],
[
false
],
[],
[],
[
false
],
[],
[],
[
false
],
[
true
],
[],
[
false
],
[
false
],
[],
[
false
],
[],
[
false
]
] | [
[
"\\( 32 \\times 20 = 640 \\)"
],
[
"\\( 32 \\times 20 = 640 \\)"
],
[],
[],
[
"\\( 32 \\times 20 \\)"
],
[],
[],
[
"\\(32 \\times 20 = 640\\)"
],
[
"(32 * 20)"
],
[],
[
"\\( 32 \\times 20 = 640 \\)"
],
[
"\\( 32 \\times 20 \\)"
],
[],
[
"\\(3... | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 1067, "span_text": "\\( 32 \\times 20 = 640 \\)", "extraction_type": "internal", "span_start": 1067, "span_end": 1093, "original_span": "\\( 32 \\times 20 = 640 \\)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 478, "span_text": "\\( 3... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 32 \\times 20 = 640 \\)", "final_answer": null}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 32 \\times 20 = 640 \\)", "final_answer": null}], [], [], [{"is_correct": false, "error": "Could ... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 1,
"pass_at_n": 1,
"percent_correct": 0.0625,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [74, 51], create an equation that equals 125. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 74 + 51 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [74, 51], create an equation that equals 125. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5279, \"numbers\": [74, 51], \"target\": 125, \"expression\": \"74 + 51\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5279, "numbers": [74, 51], "target": 125, "expression": "74 + 51"} | null | null | null | null | null | null | null | [
"To solve this problem using the given numbers [74, 51], we need to create an equation that equals 125. We will follow these steps:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: The target is 125.\n2. **Consider possible combinations**: We have two numbers: 74 and 51. Their sum is \\(74 + 51\\).\n - \... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
true,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
null,
null,
null,
null,
"\\(74 \\times 51 \\div 74 + 23\\)",
"\\(74 \\times 51 - 2299 + 125\\)",
"Step 1: 74 + 51 = 125",
null,
null,
"\\( 74 + 51 = 125 \\)",
"\\( 74 \\times 51 - 3600 + 81 - 150 = 125 \\)",
null,
null,
"\\( 3794 - 269 = 3525 \\), then \\( 3525 - 125 = 3400 \\), \\( 3400 -... | [{"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 2034, "span_end": 2065, "original_span": "\\(74 \\times 51 \\div 74 + 23\\)"}, {"extraction_type": "fina... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no... | [
[],
[],
[],
[],
[
false
],
[
false
],
[
true
],
[],
[],
[
false
],
[
false
],
[],
[],
[
false
],
[
false
],
[
false
]
] | [
[],
[],
[],
[],
[
"\\(74 \\times 51 \\div 74 + 23\\)"
],
[
"\\(74 \\times 51 - 2299 + 125\\)"
],
[
"Step 1: 74 + 51 = 125"
],
[],
[],
[
"\\( 74 + 51 = 125 \\)"
],
[
"\\( 74 \\times 51 - 3600 + 81 - 150 = 125 \\)"
],
[],
[],
[
"\\( 3794 - 269 = 3525 \\), th... | [[], [], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 2034, "span_text": "\\(74 \\times 51 \\div 74 + 23\\)", "extraction_type": "internal", "span_start": 2034, "span_end": 2065, "original_span": "\\(74 \\times 51 \\div 74 + 23\\)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "positio... | [[], [], [], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(74 \\times 51 \\div 74 + 23\\)", "final_answer": null}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(74 \\times 51 - 2299 + 125\\)", "final_answer": null}], [{"is_correct": true... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 1,
"pass_at_n": 1,
"percent_correct": 0.0625,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [80, 7], create an equation that equals 560. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 7*80 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [80, 7], create an equation that equals 560. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5775, \"numbers\": [80, 7], \"target\": 560, \"expression\": \"7*80\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5775, "numbers": [80, 7], "target": 560, "expression": "7*80"} | null | null | null | null | null | null | null | [
"To solve this problem, we need to combine the given numbers [80, 7] using addition, subtraction, multiplication, and division to get the target number 560. Let's break down the process:\n\n### Step-by-Step Solution\n\n**Step 1:** Start with the first number, which is 80.\n - We'll add the second number (7) to 80... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
true,
false,
false,
false
] | [
"((80 + 7) * 7) - (80 / 7)",
null,
"\\[\\left(\\frac{80}{7}\\right) \\times 80 - 7\\]",
"\\( 80 \\times 7 \\)",
"\\( 80 \\times 7 \\)",
"\\( 80 \\times 7 = 560 \\)",
null,
null,
null,
"((80 + 7) * 8) - 7",
null,
null,
"(80 * 7)",
null,
null,
null
] | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1286, "span_end": 1313, "original_span": "((80 + 7) * 7) - (80 / 7)"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 786, "span_end": 831, "origi... | [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "((80 + 7) * 7) - (80 / 7)", "final_answer": 560.0}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": false, "error": "Could not eva... | [
[
false
],
[],
[
false
],
[
false
],
[
false
],
[
false
],
[],
[],
[],
[
false
],
[],
[],
[
true
],
[],
[],
[]
] | [
[
"((80 + 7) * 7) - (80 / 7)"
],
[],
[
"\\[\\left(\\frac{80}{7}\\right) \\times 80 - 7\\]"
],
[
"\\( 80 \\times 7 \\)"
],
[
"\\( 80 \\times 7 \\)"
],
[
"\\( 80 \\times 7 = 560 \\)"
],
[],
[],
[],
[
"((80 + 7) * 8) - 7"
],
[],
[],
[
"(80 * 7)"
],
[]... | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 1286, "span_text": "((80 + 7) * 7) - (80 / 7)", "extraction_type": "internal", "span_start": 1286, "span_end": 1313, "original_span": "((80 + 7) * 7) - (80 / 7)"}], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 786, "span_text": "\\[\\... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "((80 + 7) * 7) - (80 / 7)", "final_answer": 560.0}], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\[\\left(\\frac{80}{7}\\right) \\times 80 - 7\\]", "final_answer": null}], [{"is_correc... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 1,
"pass_at_n": 1,
"percent_correct": 0.0625,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [73, 80], create an equation that equals 153. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 73 + 80 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [73, 80], create an equation that equals 153. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6089, \"numbers\": [73, 80], \"target\": 153, \"expression\": \"73 + 80\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6089, "numbers": [73, 80], "target": 153, "expression": "73 + 80"} | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 73 and 80 with the given constraints, we need to find a way to combine them into an equation that equals 153. Let's break down the process:\n\n### Step-by-Step Solution\n\n**Step 1:** First, let's try to add these two numbers together.\n\\[ 73 + 80 = 153 \\]\n\nThis directly... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
true,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
true,
false
] | [
null,
null,
"Step 1: 73 + 80 = 153",
"\\( 73 + 80 = 153 \\)",
null,
"\\(73 + 80 = 153\\)",
null,
null,
null,
"\\( (73 \\times 80) - (73 \\times 80) + 153 \\)",
null,
"\\( (73 \\times 2) + 80 = 153 \\)",
null,
null,
"(73 + 80)",
null
] | [{"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 377, "span_end": 400, "original_span": "Step 1: 73 + 80 = 153"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1355... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": true, "error": null, "answer_block": "Step... | [
[],
[],
[
true
],
[
false
],
[],
[
false
],
[],
[],
[],
[
false
],
[],
[
false
],
[],
[],
[
true
],
[]
] | [
[],
[],
[
"Step 1: 73 + 80 = 153"
],
[
"\\( 73 + 80 = 153 \\)"
],
[],
[
"\\(73 + 80 = 153\\)"
],
[],
[],
[],
[
"\\( (73 \\times 80) - (73 \\times 80) + 153 \\)"
],
[],
[
"\\( (73 \\times 2) + 80 = 153 \\)"
],
[],
[],
[
"(73 + 80)"
],
[]
] | [[], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 377, "span_text": "Step 1: 73 + 80 = 153", "extraction_type": "internal", "span_start": 377, "span_end": 400, "original_span": "Step 1: 73 + 80 = 153"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1355, "span_text": "\\( 73 + 80... | [[], [], [{"is_correct": true, "error": null, "answer_block": "Step 1: 73 + 80 = 153", "final_answer": 153.0}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 73 + 80 = 153 \\)", "final_answer": null}], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_b... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 2,
"pass_at_n": 1,
"percent_correct": 0.125,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [27, 84], create an equation that equals 111. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 84 + 27 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [27, 84], create an equation that equals 111. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5705, \"numbers\": [27, 84], \"target\": 111, \"expression\": \"84 + 27\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5705, "numbers": [27, 84], "target": 111, "expression": "84 + 27"} | null | null | null | null | null | null | null | [
"To solve this problem, we need to find a way to combine the numbers 27 and 84 using addition, subtraction, multiplication, and division such that the result equals 111. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Addition**: We start with adding two numbers.\n - First, add 27 and 84 togeth... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
null,
null,
"\\( (27 + 84) \\)",
"\\( 57 \\times 2 - 3 = 111 \\)",
"\\left(\\frac{84}{27} + 5\\right) × 20 ÷ 1",
"\\(27 + 84 = 111\\)",
null,
null,
null,
null,
"\\( (27 + 84) \\)",
null,
null,
null,
null,
null
] | [{"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 630, "span_end": 647, "original_span": "\\( (27 + 84) \\)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1206, "s... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": false, "error": "Could not evaluate expres... | [
[],
[],
[
false
],
[
false
],
[
false
],
[
false
],
[],
[],
[],
[],
[
false
],
[],
[],
[],
[],
[]
] | [
[],
[],
[
"\\( (27 + 84) \\)"
],
[
"\\( 57 \\times 2 - 3 = 111 \\)"
],
[
"\\left(\\frac{84}{27} + 5\\right) × 20 ÷ 1"
],
[
"\\(27 + 84 = 111\\)"
],
[],
[],
[],
[],
[
"\\( (27 + 84) \\)"
],
[],
[],
[],
[],
[]
] | [[], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 630, "span_text": "\\( (27 + 84) \\)", "extraction_type": "internal", "span_start": 630, "span_end": 647, "original_span": "\\( (27 + 84) \\)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1206, "span_text": "\\( 57 \\times 2 - ... | [[], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (27 + 84) \\)", "final_answer": null}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 57 \\times 2 - 3 = 111 \\)", "final_answer": null}], [{"is_correct": false, "error": "Could not eva... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [66, 55], create an equation that equals 121. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 55 + 66 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [66, 55], create an equation that equals 121. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6474, \"numbers\": [66, 55], \"target\": 121, \"expression\": \"55 + 66\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6474, "numbers": [66, 55], "target": 121, "expression": "55 + 66"} | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 66 and 55 with basic arithmetic operations, we need to find a combination that equals 121. Let's break down the process:\n\n### Step-by-Step Solution\n\n**Step 1:** We start with the two given numbers, 66 and 55.\n - First, let's try adding these numbers together: \\( 66 +... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
true,
false,
false,
false,
false,
false,
false,
false
] | [
null,
null,
"\\(66 + 55\\)",
null,
"(66 * 55 - 119) / 3",
null,
null,
"\\(66 + 55 = 121\\)",
"Step 1: 66 + 55 = 121",
"\\(66 - 49 + 55 - 1\\)",
"\\( 66 + 55 = 121 \\)",
null,
null,
"Step 1: 66 - 55 = 11\nStep 2: 11 + 55 = 66\nStep 3: 66 * 1 = 121",
null,
null
] | [{"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1386, "span_end": 1399, "original_span": "\\(66 + 55\\)"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": false, "error": "Could not evaluate expres... | [
[],
[],
[
false
],
[],
[
false
],
[],
[],
[
false
],
[
true
],
[
false
],
[
false
],
[],
[],
[
false
],
[],
[]
] | [
[],
[],
[
"\\(66 + 55\\)"
],
[],
[
"(66 * 55 - 119) / 3"
],
[],
[],
[
"\\(66 + 55 = 121\\)"
],
[
"Step 1: 66 + 55 = 121"
],
[
"\\(66 - 49 + 55 - 1\\)"
],
[
"\\( 66 + 55 = 121 \\)"
],
[],
[],
[
"Step 1: 66 - 55 = 11\nStep 2: 11 + 55 = 66\nStep 3: 66 *... | [[], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1386, "span_text": "\\(66 + 55\\)", "extraction_type": "internal", "span_start": 1386, "span_end": 1399, "original_span": "\\(66 + 55\\)"}], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1007, "span_text": "(66 * 55 - 119) / 3"... | [[], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(66 + 55\\)", "final_answer": null}], [], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(66 * 55 - 119) / 3", "final_answer": 121.0}], [], [], [{"is_correct": false, "error": "Could... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 1,
"pass_at_n": 1,
"percent_correct": 0.0625,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [66, 47], create an equation that equals 113. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 47 + 66 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [66, 47], create an equation that equals 113. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5465, \"numbers\": [66, 47], \"target\": 113, \"expression\": \"47 + 66\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5465, "numbers": [66, 47], "target": 113, "expression": "47 + 66"} | null | null | null | null | null | null | null | [
"To solve for 113 using the numbers 66 and 47 with the given operations (addition, subtraction, multiplication, division), we need to find a combination that will yield 113 when applied to these two numbers. Here’s how we can break down the process:\n\n### Step-by-Step Solution\n\n**Step 1:** We start by trying dif... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
true,
false,
true,
false,
false,
true,
false,
false,
true,
false
] | [
null,
"\\( 2995 - 47 + 66 = 113 \\)",
"\\( 66 + 47 \\)",
null,
null,
null,
"(66 + 47) = 113",
null,
"Step 1: 66 + 47 = 113",
null,
null,
"66 + 47 = 113",
null,
"\\( 66 + 47 = 113 \\)",
"(66 + 47)",
null
] | [{"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 2516, "span_end": 2544, "original_span": "\\( 2995 - 47 + 66 = 113 \\)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 630, "span_end": 645, "or... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 2995 - 47 + 66 = 113 \\)", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate ex... | [
[],
[
false
],
[
false
],
[],
[],
[],
[
true
],
[],
[
true
],
[],
[],
[
true
],
[],
[
false
],
[
true
],
[]
] | [
[],
[
"\\( 2995 - 47 + 66 = 113 \\)"
],
[
"\\( 66 + 47 \\)"
],
[],
[],
[],
[
"(66 + 47) = 113"
],
[],
[
"Step 1: 66 + 47 = 113"
],
[],
[],
[
"66 + 47 = 113"
],
[],
[
"\\( 66 + 47 = 113 \\)"
],
[
"(66 + 47)"
],
[]
] | [[], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 2516, "span_text": "\\( 2995 - 47 + 66 = 113 \\)", "extraction_type": "internal", "span_start": 2516, "span_end": 2544, "original_span": "\\( 2995 - 47 + 66 = 113 \\)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 630, "span_text": ... | [[], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 2995 - 47 + 66 = 113 \\)", "final_answer": null}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 66 + 47 \\)", "final_answer": null}], [], [], [], [{"is_correct": true, "error": null, "answ... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 4,
"pass_at_n": 1,
"percent_correct": 0.25,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [75, 91], create an equation that equals 166. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 91 + 75 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [75, 91], create an equation that equals 166. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6286, \"numbers\": [75, 91], \"target\": 166, \"expression\": \"91 + 75\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6286, "numbers": [75, 91], "target": 166, "expression": "91 + 75"} | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 75 and 91, we need to create an equation that equals 166 with these two numbers only being used once. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the given numbers**: We have 75 and 91.\n2. **Multiply one of the numbers by itself**:\n \\[\... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
null,
null,
"((75 * 91) - 523) + 166",
"(1615)",
"\\(75 + 91 = 166\\)",
null,
"\\(75 \\times 2 + 16 = 166\\)",
null,
null,
"It is not possible to achieve the target of 166 using only the numbers 75 and 91 through basic arithmetic operations.",
"(75 * (91 / 11)) - 102",
"\\( 75 + 91 \\)",
nul... | [{"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1315, "span_end": 1340, "original_span": "((75 * 91) - 523) + 166"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": ... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": false, "error": "Expression does not equal... | [
[],
[],
[
false
],
[
false
],
[
false
],
[],
[
false
],
[],
[],
[
false
],
[
false
],
[
false
],
[],
[
false
],
[],
[]
] | [
[],
[],
[
"((75 * 91) - 523) + 166"
],
[
"(1615)"
],
[
"\\(75 + 91 = 166\\)"
],
[],
[
"\\(75 \\times 2 + 16 = 166\\)"
],
[],
[],
[
"It is not possible to achieve the target of 166 using only the numbers 75 and 91 through basic arithmetic operations."
],
[
"(75 *... | [[], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1315, "span_text": "((75 * 91) - 523) + 166", "extraction_type": "internal", "span_start": 1315, "span_end": 1340, "original_span": "((75 * 91) - 523) + 166"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1965, "span_text": "(161... | [[], [], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "((75 * 91) - 523) + 166", "final_answer": 166.0}], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(1615)", "final_answer": 166.0}], [{"is_correct": false, "error": "Could not... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [81, 40], create an equation that equals 121. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 81 + 40 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [81, 40], create an equation that equals 121. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6311, \"numbers\": [81, 40], \"target\": 121, \"expression\": \"81 + 40\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6311, "numbers": [81, 40], "target": 121, "expression": "81 + 40"} | null | null | null | null | null | null | null | [
"To solve for 121 using the numbers 81 and 40 with the given operations (addition, subtraction, multiplication, division), we need to find a combination that results in 121. Let's break down the process:\n\n1. **Identify possible combinations**: We need to use both numbers 81 and 40 exactly once.\n2. **Start with a... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"\\(81 + 40\\)",
null,
"\\( 81 + 40 = 121 \\)",
null,
"\\(81 - 40 + 79 - 1 = 121\\)",
null,
"\\(81 \\times 40 - 3119 = 121\\)",
"\\( 81 + 40 = 121 \\)",
"\\( 81 - 40 + 40 * 3 + 1 \\)",
null,
"\\( 81 + 40 = 121 \\)",
null,
"\\( (81 \\times 40) \\div 27 \\)",
"Step 1: \\( 81 - 40 = 41 \\)\nS... | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 495, "span_end": 508, "original_span": "\\(81 + 40\\)"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 417, "span_end": 438, "original_span": "\\... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(81 + 40\\)", "final_answer": null}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": false, "error": "Could not evaluate expression", "ans... | [
[
false
],
[],
[
false
],
[],
[
false
],
[],
[
false
],
[
false
],
[
false
],
[],
[
false
],
[],
[
false
],
[
false
],
[
false
],
[]
] | [
[
"\\(81 + 40\\)"
],
[],
[
"\\( 81 + 40 = 121 \\)"
],
[],
[
"\\(81 - 40 + 79 - 1 = 121\\)"
],
[],
[
"\\(81 \\times 40 - 3119 = 121\\)"
],
[
"\\( 81 + 40 = 121 \\)"
],
[
"\\( 81 - 40 + 40 * 3 + 1 \\)"
],
[],
[
"\\( 81 + 40 = 121 \\)"
],
[],
[
"\\(... | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 495, "span_text": "\\(81 + 40\\)", "extraction_type": "internal", "span_start": 495, "span_end": 508, "original_span": "\\(81 + 40\\)"}], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 417, "span_text": "\\( 81 + 40 = 121 \\)", "extract... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(81 + 40\\)", "final_answer": null}], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 81 + 40 = 121 \\)", "final_answer": null}], [], [{"is_correct": false, "error": "Could not evaluate express... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [37, 87], create an equation that equals 124. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 37 + 87 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [37, 87], create an equation that equals 124. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6106, \"numbers\": [37, 87], \"target\": 124, \"expression\": \"37 + 87\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6106, "numbers": [37, 87], "target": 124, "expression": "37 + 87"} | null | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers 37 and 87 exactly once to get the result 124. We will try different combinations of addition, subtraction, multiplication, and division to see which combination works.\n\n### Step-by-Step Solution:\n\n1. **Multiply 37 and 87**:\n \\[\n 37 \\times 87 = 3169\n ... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
true,
false,
false,
false,
false,
false,
false,
false,
true
] | [
null,
"\\( 87 + 37 \\)",
null,
null,
null,
null,
null,
"Step 1: 37 + 87 = 124",
null,
null,
"\\(37 + 87 = 124\\)",
"\\( 37 + 87 = 124 \\)",
"(37 * 87) - 5 + 10 / 3",
"\\(37 + 87\\)",
"None possible",
"(37 + 87) = 124"
] | [{"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1012, "span_end": 1027, "original_span": "\\( 87 + 37 \\)"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 87 + 37 \\)", "final_answer": null}, {"evaluation_method": "response_processor", "reason": "no_extracte... | [
[],
[
false
],
[],
[],
[],
[],
[],
[
true
],
[],
[],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false,
true
]
] | [
[],
[
"\\( 87 + 37 \\)"
],
[],
[],
[],
[],
[],
[
"Step 1: 37 + 87 = 124"
],
[],
[],
[
"\\(37 + 87 = 124\\)"
],
[
"\\( 37 + 87 = 124 \\)"
],
[
"(37 * 87) - 5 + 10 / 3"
],
[
"\\(37 + 87\\)"
],
[
"None possible"
],
[
"124 = 37 + 87",
"(37 ... | [[], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1012, "span_text": "\\( 87 + 37 \\)", "extraction_type": "internal", "span_start": 1012, "span_end": 1027, "original_span": "\\( 87 + 37 \\)"}], [], [], [], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1099, "span_text": "Step... | [[], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 87 + 37 \\)", "final_answer": null}], [], [], [], [], [], [{"is_correct": true, "error": null, "answer_block": "Step 1: 37 + 87 = 124", "final_answer": 124.0}], [], [], [{"is_correct": false, "error": "Could not evaluate expressi... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 2,
"pass_at_n": 1,
"percent_correct": 0.125,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [63, 52], create an equation that equals 115. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 63 + 52 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [63, 52], create an equation that equals 115. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6182, \"numbers\": [63, 52], \"target\": 115, \"expression\": \"63 + 52\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6182, "numbers": [63, 52], "target": 115, "expression": "63 + 52"} | null | null | null | null | null | null | null | [
"To solve the problem using the given numbers [63, 52], we need to form an equation that equals 115 with each number being used exactly once. Let's break down the process:\n\n1. **Identify the goal**: We want to end up with the number 115.\n2. **Consider possible combinations**: Since we have two numbers (63 and 52... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
true
] | [
null,
"\\( 63 \\times 52 + 40 = 3316 \\)",
null,
null,
null,
"63 * 52 - 213 + 115",
null,
"\\( \\frac{63 \\times 52}{26} - 11 \\)",
null,
"(63 - 52) + (104)",
null,
null,
null,
"\\( 63 + 52 = 115 \\)",
"\\(63 + 52\\)",
"(63 + 52)"
] | [{"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 636, "span_end": 668, "original_span": "\\( 63 \\times 52 + 40 = 3316 \\)"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 63 \\times 52 + 40 = 3316 \\)", "final_answer": null}, {"evaluation_method": "response_processor", "rea... | [
[],
[
false
],
[],
[],
[],
[
false
],
[],
[
false
],
[],
[
false
],
[],
[],
[],
[
false
],
[
false
],
[
true
]
] | [
[],
[
"\\( 63 \\times 52 + 40 = 3316 \\)"
],
[],
[],
[],
[
"63 * 52 - 213 + 115"
],
[],
[
"\\( \\frac{63 \\times 52}{26} - 11 \\)"
],
[],
[
"(63 - 52) + (104)"
],
[],
[],
[],
[
"\\( 63 + 52 = 115 \\)"
],
[
"\\(63 + 52\\)"
],
[
"(63 + 52)"
]
] | [[], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 636, "span_text": "\\( 63 \\times 52 + 40 = 3316 \\)", "extraction_type": "internal", "span_start": 636, "span_end": 668, "original_span": "\\( 63 \\times 52 + 40 = 3316 \\)"}], [], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position":... | [[], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 63 \\times 52 + 40 = 3316 \\)", "final_answer": null}], [], [], [], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "63 * 52 - 213 + 115", "final_answer": 115.0}], [], [{"is_correct": fa... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 1,
"pass_at_n": 1,
"percent_correct": 0.0625,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [41, 22], create an equation that equals 902. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 41*22 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [41, 22], create an equation that equals 902. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5055, \"numbers\": [41, 22], \"target\": 902, \"expression\": \"41*22\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5055, "numbers": [41, 22], "target": 902, "expression": "41*22"} | null | null | null | null | null | null | null | [
"To solve for the equation using the numbers 41 and 22 that equals 902, we need to strategically combine these numbers with addition, subtraction, multiplication, and division. Here’s how we can approach it:\n\n### Step-by-Step Solution\n\n1. **Identify Possible Operations**: We start with the given numbers and con... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
null,
null,
null,
"(41 + 22) * 14 - 14",
"\\( (41 + 22) + 819 \\)",
null,
null,
"\\( 41 \\times 22 = 902 \\)",
null,
null,
"\\( 41 \\times 22 \\)",
null,
null,
null,
null,
"\\( 41 \\times 22 = 902 \\)"
] | [{"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 2397, "span_end": 2418, "original_span": "(41 + 22) * 14 - 14"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no... | [
[],
[],
[],
[
false
],
[
false
],
[],
[],
[
false
],
[],
[],
[
false
],
[],
[],
[],
[],
[
false
]
] | [
[],
[],
[],
[
"(41 + 22) * 14 - 14"
],
[
"\\( (41 + 22) + 819 \\)"
],
[],
[],
[
"\\( 41 \\times 22 = 902 \\)"
],
[],
[],
[
"\\( 41 \\times 22 \\)"
],
[],
[],
[],
[],
[
"\\( 41 \\times 22 = 902 \\)"
]
] | [[], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 2397, "span_text": "(41 + 22) * 14 - 14", "extraction_type": "internal", "span_start": 2397, "span_end": 2418, "original_span": "(41 + 22) * 14 - 14"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1516, "span_text": "\\( (41 ... | [[], [], [], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(41 + 22) * 14 - 14", "final_answer": 902.0}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (41 + 22) + 819 \\)", "final_answer": null}], [], [], [{"is_correct": false, "erro... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [61, 64], create an equation that equals 125. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 64 + 61 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [61, 64], create an equation that equals 125. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5846, \"numbers\": [61, 64], \"target\": 125, \"expression\": \"64 + 61\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5846, "numbers": [61, 64], "target": 125, "expression": "64 + 61"} | null | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers 61 and 64 from the given list to create an equation that equals 125. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to find a combination using addition, subtraction, multiplication, or division (and possibly parenth... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"\\( (64 \\times 2) - 3 = 125 \\)",
"Step 1: 61 * 64 = 3904; Step 2: 3904 / 61 = 64; Step 3: 64 + 61 = 125",
null,
null,
"\\(61 \\times 64 = 3904\\)",
null,
null,
null,
null,
null,
null,
"\\( 64 - 1 + 61 \\)",
"\\(61 + 64\\)",
"\\( 61 + 64 \\)",
null,
null
] | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1578, "span_end": 1609, "original_span": "\\( (64 \\times 2) - 3 = 125 \\)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 3033, "span_end": 3102, "original_span": "Step 1: 6... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (64 \\times 2) - 3 = 125 \\)", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate line: Step 1: 61 * 64 = 3904; Step 2: 3904 / 61 = 64; Step 3: 64 + 61 = 125", "answer_block": "Step 1: 61 * 64 = 3904; Step 2: 39... | [
[
false
],
[
false
],
[],
[],
[
false
],
[],
[],
[],
[],
[],
[],
[
false
],
[
false
],
[
false
],
[],
[]
] | [
[
"\\( (64 \\times 2) - 3 = 125 \\)"
],
[
"Step 1: 61 * 64 = 3904; Step 2: 3904 / 61 = 64; Step 3: 64 + 61 = 125"
],
[],
[],
[
"\\(61 \\times 64 = 3904\\)"
],
[],
[],
[],
[],
[],
[],
[
"\\( 64 - 1 + 61 \\)"
],
[
"\\(61 + 64\\)"
],
[
"\\( 61 + 64 \\)"
],
... | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 1578, "span_text": "\\( (64 \\times 2) - 3 = 125 \\)", "extraction_type": "internal", "span_start": 1578, "span_end": 1609, "original_span": "\\( (64 \\times 2) - 3 = 125 \\)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 3033, "span_te... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (64 \\times 2) - 3 = 125 \\)", "final_answer": null}], [{"is_correct": false, "error": "Could not evaluate line: Step 1: 61 * 64 = 3904; Step 2: 3904 / 61 = 64; Step 3: 64 + 61 = 125", "answer_block": "Step 1: 61 * 64 = 3904; Step 2:... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [97, 55], create an equation that equals 152. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 97 + 55 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [97, 55], create an equation that equals 152. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5013, \"numbers\": [97, 55], \"target\": 152, \"expression\": \"97 + 55\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5013, "numbers": [97, 55], "target": 152, "expression": "97 + 55"} | null | null | null | null | null | null | null | [
"To solve this problem, we need to combine the given numbers [97, 55] using basic arithmetic operations such as addition, subtraction, multiplication, and division. Our goal is to get the result equal to 152.\n\n### Step-by-Step Solution:\n\n1. **Start with the first number:** \n - We begin with the number 97.\n ... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
true,
false,
false,
false,
false,
false,
false,
true,
false,
false,
false,
false,
false,
true,
false
] | [
null,
"(97 + 55)",
null,
null,
null,
null,
null,
null,
"Step 1: 97 \nStep 2: 97 + 55 = 152",
"\\( 97 + 55 \\)",
"\\(97 + 55 = 152\\)",
null,
null,
null,
"Step 1: 97 + 55 = 152",
"\\( 97 \\times 55 - 40 + 168 \\)"
] | [{"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 468, "span_end": 479, "original_span": "(97 + 55)"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "... | [
[],
[
true
],
[],
[],
[],
[],
[],
[],
[
true
],
[
false
],
[
false
],
[],
[],
[],
[
true
],
[
false
]
] | [
[],
[
"(97 + 55)"
],
[],
[],
[],
[],
[],
[],
[
"Step 1: 97 \nStep 2: 97 + 55 = 152"
],
[
"\\( 97 + 55 \\)"
],
[
"\\(97 + 55 = 152\\)"
],
[],
[],
[],
[
"Step 1: 97 + 55 = 152"
],
[
"\\( 97 \\times 55 - 40 + 168 \\)"
]
] | [[], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 468, "span_text": "(97 + 55)", "extraction_type": "internal", "span_start": 468, "span_end": 479, "original_span": "(97 + 55)"}], [], [], [], [], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 464, "span_text": "Step 1: 97 \nSt... | [[], [{"is_correct": true, "error": null, "answer_block": "(97 + 55)", "final_answer": 152.0}], [], [], [], [], [], [], [{"is_correct": true, "error": null, "answer_block": "Step 1: 97 \nStep 2: 97 + 55 = 152", "final_answer": 152.0}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 3,
"pass_at_n": 1,
"percent_correct": 0.1875,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [76, 43], create an equation that equals 119. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 76 + 43 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [76, 43], create an equation that equals 119. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6175, \"numbers\": [76, 43], \"target\": 119, \"expression\": \"76 + 43\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6175, "numbers": [76, 43], "target": 119, "expression": "76 + 43"} | null | null | null | null | null | null | null | [
"To solve the problem using the numbers 76 and 43, we need to create an equation that equals 119. We will use each number exactly once and apply basic arithmetic operations (addition, subtraction, multiplication, division).\n\nHere's how we can achieve this:\n\n1. **Add 76 and 43**: \n \\[\n 76 + 43 = 119\n \... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
null,
null,
null,
null,
null,
null,
null,
null,
null,
"\\(76 + 43 = 119\\)",
null,
null,
null,
"\\( 119 = 76 + 43 \\)",
null,
null
] | [{"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found":... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no... | [
[],
[],
[],
[],
[],
[],
[],
[],
[],
[
false
],
[],
[],
[],
[
false
],
[],
[]
] | [
[],
[],
[],
[],
[],
[],
[],
[],
[],
[
"\\(76 + 43 = 119\\)"
],
[],
[],
[],
[
"\\( 119 = 76 + 43 \\)"
],
[],
[]
] | [[], [], [], [], [], [], [], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 922, "span_text": "\\(76 + 43 = 119\\)", "extraction_type": "internal", "span_start": 922, "span_end": 941, "original_span": "\\(76 + 43 = 119\\)"}], [], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "positi... | [[], [], [], [], [], [], [], [], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(76 + 43 = 119\\)", "final_answer": null}], [], [], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 119 = 76 + 43 \\)", "final_answer": null}], [], []] | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [46, 5], create an equation that equals 230. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 5*46 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [46, 5], create an equation that equals 230. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6248, \"numbers\": [46, 5], \"target\": 230, \"expression\": \"5*46\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6248, "numbers": [46, 5], "target": 230, "expression": "5*46"} | null | null | null | null | null | null | null | [
"To solve this problem using the given numbers [46, 5] and reaching the target number 230, we need to follow these steps:\n\n### Step 1: Multiply 46 by 5\nThis will give us a large number which we can then adjust with subtraction.\n```\nStep 1: 46 * 5 = 230\n```\n\nAt this point, we have reached our target number d... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
null,
"\\(46 \\times 5 = 230\\)",
"Step 1: 46 + 5 = 51\nStep 2: 51 * 3 = 153\nStep 3: 153 + 77 = 230",
null,
"\\(46^2 + 5^2 - 5 \\times 5\\)",
"\\( 46 \\times 5 = 230 \\)",
null,
null,
null,
"\\( 46 \\times 5 = 230 \\)",
null,
"\\(46 \\times 5 = 230\\)",
null,
null,
null,
null
] | [{"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 824, "span_end": 847, "original_span": "\\(46 \\times 5 = 230\\)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 860, "span_end": 925, "original... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(46 \\times 5 = 230\\)", "final_answer": null}, {"is_correct": false, "error": "Line uses unavailable num... | [
[],
[
false
],
[
false
],
[],
[
false
],
[
false
],
[],
[],
[],
[
false
],
[],
[
false
],
[],
[],
[],
[]
] | [
[],
[
"\\(46 \\times 5 = 230\\)"
],
[
"Step 1: 46 + 5 = 51\nStep 2: 51 * 3 = 153\nStep 3: 153 + 77 = 230"
],
[],
[
"\\(46^2 + 5^2 - 5 \\times 5\\)"
],
[
"\\( 46 \\times 5 = 230 \\)"
],
[],
[],
[],
[
"\\( 46 \\times 5 = 230 \\)"
],
[],
[
"\\(46 \\times 5 = 230\... | [[], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 824, "span_text": "\\(46 \\times 5 = 230\\)", "extraction_type": "internal", "span_start": 824, "span_end": 847, "original_span": "\\(46 \\times 5 = 230\\)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 860, "span_text": "Step 1: 46... | [[], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(46 \\times 5 = 230\\)", "final_answer": null}], [{"is_correct": false, "error": "Line uses unavailable numbers: Step 2: 51 * 3 = 153", "answer_block": "Step 1: 46 + 5 = 51\nStep 2: 51 * 3 = 153\nStep 3: 153 + 77 = 230", "final_ans... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [81, 20], create an equation that equals 101. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 81 + 20 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [81, 20], create an equation that equals 101. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5899, \"numbers\": [81, 20], \"target\": 101, \"expression\": \"81 + 20\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5899, "numbers": [81, 20], "target": 101, "expression": "81 + 20"} | null | null | null | null | null | null | null | [
"To solve the problem using the numbers 81 and 20 with the given operations (addition, subtraction, multiplication, division), we need to find a combination that equals 101. Let's break down the process:\n\n1. **Identify the goal**: We want to make the expression equal 101.\n2. **Consider possible combinations**: S... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
null,
"\\( 81 + 20 \\)",
null,
null,
"\\( 81 + 20 = 101 \\)",
"Step 1: 81 ÷ 2 = 40.5\nStep 2: 20 × 4 = 80\nStep 3: 80 + 21 = 101",
null,
null,
null,
null,
null,
"\\( 81 + 20 = 101 \\)",
null,
null,
null,
"\\( 81 - 20 = 61 \\)\n\\( 61 + 9 = 70 \\)\n\\( 70 + 31 = 101 \\)"
] | [{"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 696, "span_end": 711, "original_span": "\\( 81 + 20 \\)"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 81 + 20 \\)", "final_answer": null}, {"evaluation_method": "response_processor", "reason": "no_extracte... | [
[],
[
false
],
[],
[],
[
false
],
[
false
],
[],
[],
[],
[],
[],
[
false
],
[],
[],
[],
[
false
]
] | [
[],
[
"\\( 81 + 20 \\)"
],
[],
[],
[
"\\( 81 + 20 = 101 \\)"
],
[
"Step 1: 81 ÷ 2 = 40.5\nStep 2: 20 × 4 = 80\nStep 3: 80 + 21 = 101"
],
[],
[],
[],
[],
[],
[
"\\( 81 + 20 = 101 \\)"
],
[],
[],
[],
[
"\\( 81 - 20 = 61 \\)\n\\( 61 + 9 = 70 \\)\n\\( 70 + 31 = ... | [[], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 696, "span_text": "\\( 81 + 20 \\)", "extraction_type": "internal", "span_start": 696, "span_end": 711, "original_span": "\\( 81 + 20 \\)"}], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1094, "span_text": "\\( 81 + 20 = 101 \... | [[], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 81 + 20 \\)", "final_answer": null}], [], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 81 + 20 = 101 \\)", "final_answer": null}], [{"is_correct": false, "error": "Could not evaluate l... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [20, 90], create an equation that equals 110. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 20 + 90 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [20, 90], create an equation that equals 110. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5420, \"numbers\": [20, 90], \"target\": 110, \"expression\": \"20 + 90\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5420, "numbers": [20, 90], "target": 110, "expression": "20 + 90"} | null | null | null | null | null | null | null | [
"To solve for 110 using the numbers 20 and 90 with basic arithmetic operations and ensuring each number is used exactly once, we need to find a combination that will result in 110. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We need to make 110 using the given numbers 20 ... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
null,
"\\(20 + 90 = 110\\)",
null,
null,
"(20 * 5) + 90 - 80",
null,
"\\(20 + 90\\)",
"\\( 20 + 90 \\)",
"\\( (20 \\times 5) + 10 = 110 \\)",
null,
"\\( 20 \\times 5 + 10 = 110 \\)",
null,
"\\(20 + 90\\)",
null,
"\\( (90 \\times 20) \\div 18 - 10 + 10 = 110 \\)",
null
] | [{"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 992, "span_end": 1011, "original_span": "\\(20 + 90 = 110\\)"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(20 + 90 = 110\\)", "final_answer": null}, {"evaluation_method": "response_processor", "reason": "no_extr... | [
[],
[
false
],
[],
[],
[
false
],
[],
[
false
],
[
false,
false
],
[
false
],
[],
[
false
],
[],
[
false
],
[],
[
false
],
[]
] | [
[],
[
"\\(20 + 90 = 110\\)"
],
[],
[],
[
"(20 * 5) + 90 - 80"
],
[],
[
"\\(20 + 90\\)"
],
[
"\\( 20 + 90 = 110 \\)",
"\\( 20 + 90 \\)"
],
[
"\\( (20 \\times 5) + 10 = 110 \\)"
],
[],
[
"\\( 20 \\times 5 + 10 = 110 \\)"
],
[],
[
"\\(20 + 90\\)"
],... | [[], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 992, "span_text": "\\(20 + 90 = 110\\)", "extraction_type": "internal", "span_start": 992, "span_end": 1011, "original_span": "\\(20 + 90 = 110\\)"}], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 862, "span_text": "(20 * 5) + ... | [[], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(20 + 90 = 110\\)", "final_answer": null}], [], [], [{"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "(20 * 5) + 90 - 80", "final_answer": 110.0}], [], [{"is_correct": false, "err... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [28, 92], create an equation that equals 120. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 92 + 28 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [28, 92], create an equation that equals 120. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5628, \"numbers\": [28, 92], \"target\": 120, \"expression\": \"92 + 28\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5628, "numbers": [28, 92], "target": 120, "expression": "92 + 28"} | null | null | null | null | null | null | null | [
"To solve this problem using the numbers [28, 92], we need to find a way to get the result of 120 using these two numbers with basic arithmetic operations (addition, subtraction, multiplication, division). Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify Possible Operations**:\n - Addit... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"Step 1: 28 * 4 = 112\nStep 2: 112 + 8 = 120",
null,
null,
"\\(28 + 92\\)",
null,
"(92 * 1.25 - 115)",
null,
null,
null,
null,
null,
null,
"\\(28 + 92 = 120\\)",
null,
"\\(28 + 92 = 120\\)",
"\\( 28 + 92 = 120 \\)"
] | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1754, "span_end": 1798, "original_span": "Step 1: 28 * 4 = 112\nStep 2: 112 + 8 = 120"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans... | [{"is_correct": false, "error": "Line uses unavailable numbers: Step 1: 28 * 4 = 112", "answer_block": "Step 1: 28 * 4 = 112\nStep 2: 112 + 8 = 120", "final_answer": 112.0}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_me... | [
[
false
],
[],
[],
[
false
],
[],
[
false
],
[],
[],
[],
[],
[],
[],
[
false
],
[],
[
false
],
[
false
]
] | [
[
"Step 1: 28 * 4 = 112\nStep 2: 112 + 8 = 120"
],
[],
[],
[
"\\(28 + 92\\)"
],
[],
[
"(92 * 1.25 - 115)"
],
[],
[],
[],
[],
[],
[],
[
"\\(28 + 92 = 120\\)"
],
[],
[
"\\(28 + 92 = 120\\)"
],
[
"\\( 28 + 92 = 120 \\)"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 1754, "span_text": "Step 1: 28 * 4 = 112\nStep 2: 112 + 8 = 120", "extraction_type": "internal", "span_start": 1754, "span_end": 1798, "original_span": "Step 1: 28 * 4 = 112\nStep 2: 112 + 8 = 120"}], [], [], [{"pattern_used": "answer tag", "confidence": 1... | [[{"is_correct": false, "error": "Line uses unavailable numbers: Step 1: 28 * 4 = 112", "answer_block": "Step 1: 28 * 4 = 112\nStep 2: 112 + 8 = 120", "final_answer": 112.0}], [], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(28 + 92\\)", "final_answer": null}], [], [{"is_corr... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [76, 76], create an equation that equals 152. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 76 + 76 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [76, 76], create an equation that equals 152. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6741, \"numbers\": [76, 76], \"target\": 152, \"expression\": \"76 + 76\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6741, "numbers": [76, 76], "target": 152, "expression": "76 + 76"} | null | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers 76 twice (since they appear twice in the list), and we must use all four basic arithmetic operations: addition (+), subtraction (-), multiplication (*), and division (/). We want to end up with the target number 152.\n\n### Step-by-Step Solution:\n\n1. **Multiply t... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
true,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"((76 * 76) - 4 + 108 - 309 / 3 + 35) - 361 = 152",
null,
"Step 1: 76 + 76 = 152",
"(5776 - 76) ÷ 76 + 76",
null,
null,
"((76 + 76) - 76)",
"\\(76 + 76 = 152\\)",
"Step 1: 76 × 76 = 5776\nStep 2: 5776 ÷ 35 ≈ 165.34 (rounding to the nearest whole number gives us 165)\nStep 3: 73 × 73 = 5329\nStep 4: ... | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 901, "span_end": 951, "original_span": "((76 * 76) - 4 + 108 - 309 / 3 + 35) - 361 = 152"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 543, "s... | [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "((76 * 76) - 4 + 108 - 309 / 3 + 35) - 361 = 152", "final_answer": 152.0}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": true, "... | [
[
false
],
[],
[
true
],
[
false
],
[],
[],
[
false
],
[
false
],
[
false
],
[],
[],
[],
[
false
],
[],
[],
[]
] | [
[
"((76 * 76) - 4 + 108 - 309 / 3 + 35) - 361 = 152"
],
[],
[
"Step 1: 76 + 76 = 152"
],
[
"(5776 - 76) ÷ 76 + 76"
],
[],
[],
[
"((76 + 76) - 76)"
],
[
"\\(76 + 76 = 152\\)"
],
[
"Step 1: 76 × 76 = 5776\nStep 2: 5776 ÷ 35 ≈ 165.34 (rounding to the nearest whole numb... | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 901, "span_text": "((76 * 76) - 4 + 108 - 309 / 3 + 35) - 361 = 152", "extraction_type": "internal", "span_start": 901, "span_end": 951, "original_span": "((76 * 76) - 4 + 108 - 309 / 3 + 35) - 361 = 152"}], [], [{"pattern_used": "answer tag", "confidence"... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "((76 * 76) - 4 + 108 - 309 / 3 + 35) - 361 = 152", "final_answer": 152.0}], [], [{"is_correct": true, "error": null, "answer_block": "Step 1: 76 + 76 = 152", "final_answer": 152.0}], [{"is_correct": false, "error": "Could not e... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 1,
"pass_at_n": 1,
"percent_correct": 0.0625,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [54, 58], create an equation that equals 112. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 54 + 58 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [54, 58], create an equation that equals 112. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5644, \"numbers\": [54, 58], \"target\": 112, \"expression\": \"54 + 58\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5644, "numbers": [54, 58], "target": 112, "expression": "54 + 58"} | null | null | null | null | null | null | null | [
"To solve for 112 using the numbers 54 and 58 with the operations of addition, subtraction, multiplication, and division, we need to break down the process into manageable steps. Here’s how we can achieve it:\n\n### Step-by-Step Solution\n\n1. **First Operation**: Multiply 58 by 54.\n - \\( 58 \\times 54 \\)\n\n2... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
true,
false,
false,
false,
true,
false
] | [
null,
null,
null,
null,
"\\( (54 \\times 2) - 4 + 8 \\)",
null,
null,
"No solution found within the constraints provided.",
"\\( 58 \\times 54 - 2960 = 112 \\)\nor simply,\n\\( 54 + 58 = 112 \\)",
null,
"54 + 58",
"\\( (58 \\times 2) - 54 + 54 \\)",
null,
null,
"Step 1: 58 + 54 = 112",
... | [{"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 482, "span_end": 511, "original_span": "\\( (54 \\times 2) - 4 + 8 \\)"}, {"extraction_type": "final"}, ... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no... | [
[],
[],
[],
[],
[
false
],
[],
[],
[
false,
false
],
[
false
],
[],
[
true
],
[
false
],
[],
[],
[
true
],
[]
] | [
[],
[],
[],
[],
[
"\\( (54 \\times 2) - 4 + 8 \\)"
],
[],
[],
[
"Step 1: 54 * 58 = 3192\nStep 2: 3192 - 54 = 3138\nStep 3: 3138 + 58 = 3196\nStep 4: 3196 - 54 = 3142",
"No solution found within the constraints provided."
],
[
"\\( 58 \\times 54 - 2960 = 112 \\)\nor simply,\n\\( 5... | [[], [], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 482, "span_text": "\\( (54 \\times 2) - 4 + 8 \\)", "extraction_type": "internal", "span_start": 482, "span_end": 511, "original_span": "\\( (54 \\times 2) - 4 + 8 \\)"}], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position... | [[], [], [], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (54 \\times 2) - 4 + 8 \\)", "final_answer": null}], [], [], [{"is_correct": false, "error": "Incorrect arithmetic in line: Step 1: 54 * 58 = 3192", "answer_block": "Step 1: 54 * 58 = 3192\nStep 2: 3192 - 54 = 3138\nS... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 2,
"pass_at_n": 1,
"percent_correct": 0.125,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [30, 23], create an equation that equals 690. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 23*30 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [30, 23], create an equation that equals 690. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5587, \"numbers\": [30, 23], \"target\": 690, \"expression\": \"23*30\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5587, "numbers": [30, 23], "target": 690, "expression": "23*30"} | null | null | null | null | null | null | null | [
"To solve the problem using the numbers 30 and 23, we need to create an equation that equals 690. We will use these numbers exactly once and apply basic arithmetic operations like addition, subtraction, multiplication, and division.\n\n### Step-by-Step Solution:\n\n1. **Start with the given numbers:** \n - Number... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
null,
null,
null,
"\\(30 \\times 23 = 690\\)",
"\\( (30 + 23) \\times \\left(\\frac{690}{30 + 23}\\right) = 690 \\)",
null,
null,
null,
"\\(30 \\times 23 - 0\\)",
"\\( 30 \\times 23 = 690 \\)",
"\\( 30 \\times 23 = 690 \\)",
null,
"\\( (30 + 23) * 2 + 23 * 2 \\)",
null,
"\\( 30 \\times 2... | [{"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 828, "span_end": 852, "original_span": "\\(30 \\times 23 = 690\\)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlap... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no... | [
[],
[],
[],
[
false
],
[
false
],
[],
[],
[],
[
false
],
[
false
],
[
false
],
[],
[
false
],
[],
[
false
],
[]
] | [
[],
[],
[],
[
"\\(30 \\times 23 = 690\\)"
],
[
"\\( (30 + 23) \\times \\left(\\frac{690}{30 + 23}\\right) = 690 \\)"
],
[],
[],
[],
[
"\\(30 \\times 23 - 0\\)"
],
[
"\\( 30 \\times 23 = 690 \\)"
],
[
"\\( 30 \\times 23 = 690 \\)"
],
[],
[
"\\( (30 + 23) * 2 ... | [[], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 828, "span_text": "\\(30 \\times 23 = 690\\)", "extraction_type": "internal", "span_start": 828, "span_end": 852, "original_span": "\\(30 \\times 23 = 690\\)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 814, "span_text": "... | [[], [], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(30 \\times 23 = 690\\)", "final_answer": null}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (30 + 23) \\times \\left(\\frac{690}{30 + 23}\\right) = 690 \\)", "final_answer": null}... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [32, 83], create an equation that equals 115. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 32 + 83 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [32, 83], create an equation that equals 115. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6129, \"numbers\": [32, 83], \"target\": 115, \"expression\": \"32 + 83\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6129, "numbers": [32, 83], "target": 115, "expression": "32 + 83"} | null | null | null | null | null | null | null | [
"To solve the problem using the numbers [32, 83], we need to find an equation that equals 115 with each number used exactly once. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to make 115 using the numbers 32 and 83.\n \n2. **Consider possible combinations**:\n ... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
null,
"\\( (32 * 83) - 200 \\div 12 + 97 = 115 \\)",
"\\( 32 + 83 = 115 \\)",
"(32 - 83) + (32 * 3)",
null,
null,
null,
null,
"\\(32 \\times 83 - 2581\\)",
null,
null,
null,
null,
null,
"\\(32 \\times \\left(\\frac{83}{32}\\right) = 115\\)",
null
] | [{"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1651, "span_end": 1693, "original_span": "\\( (32 * 83) - 200 \\div 12 + 97 = 115 \\)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1059, "spa... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (32 * 83) - 200 \\div 12 + 97 = 115 \\)", "final_answer": null}, {"is_correct": false, "error": "Could ... | [
[],
[
false
],
[
false
],
[
false
],
[],
[],
[],
[],
[
false
],
[],
[],
[],
[],
[],
[
false
],
[]
] | [
[],
[
"\\( (32 * 83) - 200 \\div 12 + 97 = 115 \\)"
],
[
"\\( 32 + 83 = 115 \\)"
],
[
"(32 - 83) + (32 * 3)"
],
[],
[],
[],
[],
[
"\\(32 \\times 83 - 2581\\)"
],
[],
[],
[],
[],
[],
[
"\\(32 \\times \\left(\\frac{83}{32}\\right) = 115\\)"
],
[]
] | [[], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1651, "span_text": "\\( (32 * 83) - 200 \\div 12 + 97 = 115 \\)", "extraction_type": "internal", "span_start": 1651, "span_end": 1693, "original_span": "\\( (32 * 83) - 200 \\div 12 + 97 = 115 \\)"}], [{"pattern_used": "answer tag", "confidence": 1.0, ... | [[], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (32 * 83) - 200 \\div 12 + 97 = 115 \\)", "final_answer": null}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 32 + 83 = 115 \\)", "final_answer": null}], [{"is_correct": false, "error": "... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [37, 3], create an equation that equals 111. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 37*3 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [37, 3], create an equation that equals 111. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6542, \"numbers\": [37, 3], \"target\": 111, \"expression\": \"37*3\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6542, "numbers": [37, 3], "target": 111, "expression": "37*3"} | null | null | null | null | null | null | null | [
"To solve for the target number 111 using the given numbers [37, 3], we need to follow these steps:\n\n### Step-by-Step Solution\n\n1. **Start with the first number:** \n - We have `37` as our starting point.\n \n2. **Multiply by another number:**\n - To get close to 100 (since \\( 100 \\times 1 = 100 \\)), l... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
null,
"\\(37 + 3 + 37\\)",
null,
null,
"\\(37 + 3 + (37 + 3) * 3 - 8 - 1\\)",
"\\( 37 \\times 3 = 111 \\)",
null,
null,
"\\( 37 + 37 + 37 \\)",
"\\(3 \\times (37 - 3) + 9\\)",
"\\(37 \\times 3 = 111\\)",
"((37 + 3) * (111/40)) - 71 = 111",
null,
"\\(37 \\times 3 = 111\\)",
null,
"\\(37... | [{"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1426, "span_end": 1443, "original_span": "\\(37 + 3 + 37\\)"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_s... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(37 + 3 + 37\\)", "final_answer": null}, {"evaluation_method": "response_processor", "reason": "no_extrac... | [
[],
[
false
],
[],
[],
[
false
],
[
false
],
[],
[],
[
false
],
[
false
],
[
false
],
[
false
],
[],
[
false
],
[],
[
false
]
] | [
[],
[
"\\(37 + 3 + 37\\)"
],
[],
[],
[
"\\(37 + 3 + (37 + 3) * 3 - 8 - 1\\)"
],
[
"\\( 37 \\times 3 = 111 \\)"
],
[],
[],
[
"\\( 37 + 37 + 37 \\)"
],
[
"\\(3 \\times (37 - 3) + 9\\)"
],
[
"\\(37 \\times 3 = 111\\)"
],
[
"((37 + 3) * (111/40)) - 71 = 111"... | [[], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1426, "span_text": "\\(37 + 3 + 37\\)", "extraction_type": "internal", "span_start": 1426, "span_end": 1443, "original_span": "\\(37 + 3 + 37\\)"}], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1948, "span_text": "\\(37 + 3 + ... | [[], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(37 + 3 + 37\\)", "final_answer": null}], [], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(37 + 3 + (37 + 3) * 3 - 8 - 1\\)", "final_answer": null}], [{"is_correct": false, "error": "Coul... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [62, 44], create an equation that equals 106. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 62 + 44 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [62, 44], create an equation that equals 106. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6408, \"numbers\": [62, 44], \"target\": 106, \"expression\": \"62 + 44\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6408, "numbers": [62, 44], "target": 106, "expression": "62 + 44"} | null | null | null | null | null | null | null | [
"To solve the problem using the numbers 62 and 44 with the goal of reaching the target number 106, we need to follow these steps:\n\n### Step-by-Step Solution\n\n1. **Multiply 62 by 4**: This will help us get closer to our target.\n \\[\n 62 * 4 = 248\n \\]\n\n2. **Add 44 to the result from step 1**:\n \\[\... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
true,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"(62 * 4) + (44 * 2) - (44 / 4)",
"(62 + 44)",
null,
"\\( 62 + 44 = 106 \\)",
null,
"\\(62 + 44 = 106\\)",
"\\(62 + 44 = 106\\)",
null,
null,
"\\(62 + 44 = 106\\)",
"(124 - 18)",
null,
null,
null,
null,
null
] | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 772, "span_end": 804, "original_span": "(62 * 4) + (44 * 2) - (44 / 4)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1929, "span_end": 1938, "original_span": "(62 + 44)"}, ... | [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(62 * 4) + (44 * 2) - (44 / 4)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extr... | [
[
false
],
[
true
],
[],
[
false
],
[],
[
false
],
[
false
],
[],
[],
[
false
],
[
false
],
[],
[],
[],
[],
[]
] | [
[
"(62 * 4) + (44 * 2) - (44 / 4)"
],
[
"(62 + 44)"
],
[],
[
"\\( 62 + 44 = 106 \\)"
],
[],
[
"\\(62 + 44 = 106\\)"
],
[
"\\(62 + 44 = 106\\)"
],
[],
[],
[
"\\(62 + 44 = 106\\)"
],
[
"(124 - 18)"
],
[],
[],
[],
[],
[]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 772, "span_text": "(62 * 4) + (44 * 2) - (44 / 4)", "extraction_type": "internal", "span_start": 772, "span_end": 804, "original_span": "(62 * 4) + (44 * 2) - (44 / 4)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1929, "span_text": "(... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(62 * 4) + (44 * 2) - (44 / 4)", "final_answer": 106.0}], [{"is_correct": true, "error": null, "answer_block": "(62 + 44)", "final_answer": 106.0}], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_b... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 1,
"pass_at_n": 1,
"percent_correct": 0.0625,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [19, 33], create an equation that equals 627. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 33*19 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [19, 33], create an equation that equals 627. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5678, \"numbers\": [19, 33], \"target\": 627, \"expression\": \"33*19\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5678, "numbers": [19, 33], "target": 627, "expression": "33*19"} | null | null | null | null | null | null | null | [
"To solve for 627 using the numbers 19 and 33 with basic arithmetic operations (addition, subtraction, multiplication, division), we need to break down the process into smaller steps:\n\n### Step-by-Step Solution\n\n#### Step 1: Multiply 19 and 33\n\\[ 19 \\times 33 = 627 \\]\n\nThis directly gives us the target nu... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
true
] | [
"\\( 19 \\times 33 = 627 \\)",
"\\( (33 \\times 19) = 627 \\)",
"\\( 85 + 33 \\)",
null,
null,
null,
"\\(627 = (590 + 19) * 5 + 19 - 19\\)",
null,
"\\( 19 \\times 33 = 627 \\)",
null,
null,
"(19 + 33) * 12 + 3",
"\\( 19 \\times 33 = 627 \\)",
null,
"\\( 33 \\times 19 = 627 \\)",
"(19 *... | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 474, "span_end": 500, "original_span": "\\( 19 \\times 33 = 627 \\)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 582, "span_end": 610, "original_span": "\\( (33 \\times 19... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 19 \\times 33 = 627 \\)", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (33 \\times 19) = 627 \\)", "final_answer": null}, {"is_correct": false, "error": "Could not evaluat... | [
[
false
],
[
false
],
[
false
],
[],
[],
[],
[
false
],
[],
[
false
],
[],
[],
[
false
],
[
false
],
[],
[
false
],
[
true
]
] | [
[
"\\( 19 \\times 33 = 627 \\)"
],
[
"\\( (33 \\times 19) = 627 \\)"
],
[
"\\( 85 + 33 \\)"
],
[],
[],
[],
[
"\\(627 = (590 + 19) * 5 + 19 - 19\\)"
],
[],
[
"\\( 19 \\times 33 = 627 \\)"
],
[],
[],
[
"(19 + 33) * 12 + 3"
],
[
"\\( 19 \\times 33 = 627 \... | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 474, "span_text": "\\( 19 \\times 33 = 627 \\)", "extraction_type": "internal", "span_start": 474, "span_end": 500, "original_span": "\\( 19 \\times 33 = 627 \\)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 582, "span_text": "\\( (33 ... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 19 \\times 33 = 627 \\)", "final_answer": null}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (33 \\times 19) = 627 \\)", "final_answer": null}], [{"is_correct": false, "error": "Could not ev... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 1,
"pass_at_n": 1,
"percent_correct": 0.0625,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [59, 82], create an equation that equals 141. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 82 + 59 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [59, 82], create an equation that equals 141. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5847, \"numbers\": [59, 82], \"target\": 141, \"expression\": \"82 + 59\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5847, "numbers": [59, 82], "target": 141, "expression": "82 + 59"} | null | null | null | null | null | null | null | [
"To solve for the target number 141 using the given numbers 59 and 82, we need to find a combination of addition, subtraction, multiplication, and division that will yield 141 when applied sequentially with these two numbers.\n\n### Step-by-Step Reasoning:\n\n1. **Start with the numbers**:\n - We have the numbers... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
null,
null,
null,
null,
null,
"\\(59 * 82 - 117 = 141\\)",
null,
"\\(59 \\times 82 = 4778\\)\n\\(4778 - 1 = 4777\\)\n\\(4777 + 4 = 4781\\)",
"Step 1: 82 - 59 = 23\nStep 2: 23 + 82 = 105\nStep 3: 141 - 82 = 59",
"\\(59 + 82 = 141\\)",
"\\( 59 \\times 2 + 23 \\)",
"\\( 59 \\times 82 = 4898 \\)\n... | [{"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 2231, "span_end": 2256, "original_span": "\\(59 * 82 - 117 = 141\\)"}, {"e... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no... | [
[],
[],
[],
[],
[],
[
false
],
[],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[],
[
false
]
] | [
[],
[],
[],
[],
[],
[
"\\(59 * 82 - 117 = 141\\)"
],
[],
[
"\\(59 \\times 82 = 4778\\)\n\\(4778 - 1 = 4777\\)\n\\(4777 + 4 = 4781\\)"
],
[
"Step 1: 82 - 59 = 23\nStep 2: 23 + 82 = 105\nStep 3: 141 - 82 = 59"
],
[
"\\(59 + 82 = 141\\)"
],
[
"\\( 59 \\times 2 + 23 \\)"
... | [[], [], [], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 2231, "span_text": "\\(59 * 82 - 117 = 141\\)", "extraction_type": "internal", "span_start": 2231, "span_end": 2256, "original_span": "\\(59 * 82 - 117 = 141\\)"}], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1766... | [[], [], [], [], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(59 * 82 - 117 = 141\\)", "final_answer": null}], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(59 \\times 82 = 4778\\)\n\\(4778 - 1 = 4777\\)\n\\(4777 + 4 = 4781\\)", "fin... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [16, 85], create an equation that equals 101. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 85 + 16 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [16, 85], create an equation that equals 101. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6388, \"numbers\": [16, 85], \"target\": 101, \"expression\": \"85 + 16\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6388, "numbers": [16, 85], "target": 101, "expression": "85 + 16"} | null | null | null | null | null | null | null | [
"To solve for the equation using the numbers [16, 85] that equals 101, we need to carefully choose which operations to apply and how they will combine these numbers to reach our goal.\n\nHere's one possible approach:\n\n1. Start with the larger number (85) because it provides more opportunities to get closer to 101... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
true,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"(85 - 16) + 16 = 101",
null,
"\\(16 + 85\\)",
"No valid equation exists using the given numbers 16 and 85 under the specified conditions.",
"(1 + 16 * 85 - 960 - 100)",
"\\( 16 + 85 \\)",
"85 + 16 = 101",
null,
"Step 1: \\(16 + 85 = 101\\)",
"\\(16 \\times 85 - 16 + 6\\)",
null,
"\\(16 + 85 =... | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 764, "span_end": 786, "original_span": "(85 - 16) + 16 = 101"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 663, "span_end": 676, "original_spa... | [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(85 - 16) + 16 = 101", "final_answer": 101.0}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": false, "error": "Could not evaluate... | [
[
false
],
[],
[
false
],
[
false
],
[
false
],
[
false
],
[
true
],
[],
[
false
],
[
false
],
[],
[
false
],
[],
[
false
],
[
false
],
[]
] | [
[
"(85 - 16) + 16 = 101"
],
[],
[
"\\(16 + 85\\)"
],
[
"No valid equation exists using the given numbers 16 and 85 under the specified conditions."
],
[
"(1 + 16 * 85 - 960 - 100)"
],
[
"\\( 16 + 85 \\)"
],
[
"85 + 16 = 101"
],
[],
[
"Step 1: \\(16 + 85 = 101\... | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 764, "span_text": "(85 - 16) + 16 = 101", "extraction_type": "internal", "span_start": 764, "span_end": 786, "original_span": "(85 - 16) + 16 = 101"}], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 663, "span_text": "\\(16 + 85\\)", "e... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(85 - 16) + 16 = 101", "final_answer": 101.0}], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(16 + 85\\)", "final_answer": null}], [{"is_correct": false, "error": "Could not evaluate e... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 1,
"pass_at_n": 1,
"percent_correct": 0.0625,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [94, 38], create an equation that equals 132. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 94 + 38 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [94, 38], create an equation that equals 132. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5857, \"numbers\": [94, 38], \"target\": 132, \"expression\": \"94 + 38\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5857, "numbers": [94, 38], "target": 132, "expression": "94 + 38"} | null | null | null | null | null | null | null | [
"To solve this problem using the given numbers [94, 38], we need to create an equation that equals 132 while adhering to the constraints:\n\n1. Each number must be used exactly once.\n2. We can use basic arithmetic operations: addition (+), subtraction (-), multiplication (*), and division (/).\n\nHere’s how we can... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"\\( 148 - 16 = 132 \\)",
"\\(94 + 38 = 132\\)",
"\\( 94 + 38 = 132 \\)",
null,
null,
null,
"(94 - 38) * 38",
null,
null,
null,
null,
null,
null,
"\\( (94 + 38) - 70 + 14 \\)",
null,
null
] | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1854, "span_end": 1876, "original_span": "\\( 148 - 16 = 132 \\)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1764, "span_end": 1783, "original_span": "\\(94 + 38 = 132\\)... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 148 - 16 = 132 \\)", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(94 + 38 = 132\\)", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", ... | [
[
false
],
[
false
],
[
false
],
[],
[],
[],
[
false
],
[],
[],
[],
[],
[],
[],
[
false
],
[],
[]
] | [
[
"\\( 148 - 16 = 132 \\)"
],
[
"\\(94 + 38 = 132\\)"
],
[
"\\( 94 + 38 = 132 \\)"
],
[],
[],
[],
[
"(94 - 38) * 38"
],
[],
[],
[],
[],
[],
[],
[
"\\( (94 + 38) - 70 + 14 \\)"
],
[],
[]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 1854, "span_text": "\\( 148 - 16 = 132 \\)", "extraction_type": "internal", "span_start": 1854, "span_end": 1876, "original_span": "\\( 148 - 16 = 132 \\)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1764, "span_text": "\\(94 + 38 = 1... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 148 - 16 = 132 \\)", "final_answer": null}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(94 + 38 = 132\\)", "final_answer": null}], [{"is_correct": false, "error": "Could not evaluate expressi... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [70, 83], create an equation that equals 153. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 70 + 83 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [70, 83], create an equation that equals 153. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5668, \"numbers\": [70, 83], \"target\": 153, \"expression\": \"70 + 83\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5668, "numbers": [70, 83], "target": 153, "expression": "70 + 83"} | null | null | null | null | null | null | null | [
"To solve for the equation using the numbers [70, 83] that equals 153, we need to strategically combine these two numbers with basic arithmetic operations. Let's break down the process:\n\n### Step-by-Step Solution\n\n**Step 1:** Add 70 and 83.\n\\[ 70 + 83 = 153 \\]\n\nThis directly gives us the result of 153 with... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
true,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
null,
null,
"(70 + 83)",
null,
null,
"\\( (83 \\div 70) \\times 70 + 70 = 153 \\)",
"\\( 70 + 83 - 70 = 153 \\)",
"\\( 70 + 83 = 153 \\)",
null,
null,
"\\(83 + 70 = 153\\)",
null,
"\\( 70 + 83 = 153 \\)",
"((70 + 83) * 3) - 1",
null,
null
] | [{"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1172, "span_end": 1183, "original_span": "(70 + 83)"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found":... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": true, "error": null, "answer_block": "(70 ... | [
[],
[],
[
true
],
[],
[],
[
false
],
[
false
],
[
false
],
[],
[],
[
false
],
[],
[
false
],
[
false
],
[],
[]
] | [
[],
[],
[
"(70 + 83)"
],
[],
[],
[
"\\( (83 \\div 70) \\times 70 + 70 = 153 \\)"
],
[
"\\( 70 + 83 - 70 = 153 \\)"
],
[
"\\( 70 + 83 = 153 \\)"
],
[],
[],
[
"\\(83 + 70 = 153\\)"
],
[],
[
"\\( 70 + 83 = 153 \\)"
],
[
"((70 + 83) * 3) - 1"
],
[],
... | [[], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1172, "span_text": "(70 + 83)", "extraction_type": "internal", "span_start": 1172, "span_end": 1183, "original_span": "(70 + 83)"}], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 2590, "span_text": "\\( (83 \\div 70) \\time... | [[], [], [{"is_correct": true, "error": null, "answer_block": "(70 + 83)", "final_answer": 153.0}], [], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (83 \\div 70) \\times 70 + 70 = 153 \\)", "final_answer": null}], [{"is_correct": false, "error": "Could not evaluate expressi... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 1,
"pass_at_n": 1,
"percent_correct": 0.0625,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [41, 93], create an equation that equals 134. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 41 + 93 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [41, 93], create an equation that equals 134. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6079, \"numbers\": [41, 93], \"target\": 134, \"expression\": \"41 + 93\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6079, "numbers": [41, 93], "target": 134, "expression": "41 + 93"} | null | null | null | null | null | null | null | [
"To solve this problem using the numbers [41, 93], we need to find an equation that equals 134 using these two numbers exactly once. Let's break down the process:\n\n### Step-by-Step Reasoning\n\n1. **Identify Possible Operations**: We have four numbers [41, 93]. The operations available are addition (+), subtracti... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
null,
null,
null,
"\\( 41 + 93 - 81 + 1 \\)",
null,
"\\( 134 \\)",
"\\( 93 - 11 + 41 \\)",
"\\( (41 + 93) \\)",
null,
null,
null,
null,
"No valid combination found",
null,
"(41 * 93 - 134) / 3",
"\\( (93 + 41) = 134 \\)"
] | [{"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1145, "span_end": 1169, "original_span": "\\( 41 + 93 - 81 + 1 \\)"}, {"extraction_type": "final"}, {"extraction_type": "final", "tota... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no... | [
[],
[],
[],
[
false
],
[],
[
false,
false
],
[
false
],
[
false
],
[],
[],
[],
[],
[
false
],
[],
[
false
],
[
false
]
] | [
[],
[],
[],
[
"\\( 41 + 93 - 81 + 1 \\)"
],
[],
[
"\\( \\frac{41 \\times 93 - 1}{1} \\)",
"\\( 134 \\)"
],
[
"\\( 93 - 11 + 41 \\)"
],
[
"\\( (41 + 93) \\)"
],
[],
[],
[],
[],
[
"No valid combination found"
],
[],
[
"(41 * 93 - 134) / 3"
],
[
... | [[], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1145, "span_text": "\\( 41 + 93 - 81 + 1 \\)", "extraction_type": "internal", "span_start": 1145, "span_end": 1169, "original_span": "\\( 41 + 93 - 81 + 1 \\)"}], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1147, "span_te... | [[], [], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 41 + 93 - 81 + 1 \\)", "final_answer": null}], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( \\frac{41 \\times 93 - 1}{1} \\)", "final_answer": null}, {"is_correct": false, "err... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [50, 4], create an equation that equals 200. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 50*4 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [50, 4], create an equation that equals 200. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6764, \"numbers\": [50, 4], \"target\": 200, \"expression\": \"50*4\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6764, "numbers": [50, 4], "target": 200, "expression": "50*4"} | null | null | null | null | null | null | null | [
"To solve this problem using the given list of numbers [50, 4], we need to find an equation that equals 200. Let's break down the process into logical steps:\n\n### Step 1: Identify Potential Operations\nWe have two numbers: 50 and 4. We will try different combinations of addition, subtraction, multiplication, and ... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"\\( (50 \\times 4) = 200 \\)",
null,
null,
"\\( 50 \\times 4 = 200 \\)",
null,
null,
"\\( 50 \\times 4 = 200 \\)",
"\\(50 \\times 4 = 200\\)",
"\\( 50 \\times 4 = 200 \\)",
null,
"\\( 50 \\times 4 = 200 \\)",
null,
null,
"\\( 50 \\times 4 = 200 \\)",
"\\( 50 \\times 4 = 200 \\)",
"\\(... | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 657, "span_end": 684, "original_span": "\\( (50 \\times 4) = 200 \\)"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (50 \\times 4) = 200 \\)", "final_answer": null}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason":... | [
[
false
],
[],
[],
[
false
],
[],
[],
[
false
],
[
false
],
[
false
],
[],
[
false
],
[],
[],
[
false
],
[
false
],
[
false
]
] | [
[
"\\( (50 \\times 4) = 200 \\)"
],
[],
[],
[
"\\( 50 \\times 4 = 200 \\)"
],
[],
[],
[
"\\( 50 \\times 4 = 200 \\)"
],
[
"\\(50 \\times 4 = 200\\)"
],
[
"\\( 50 \\times 4 = 200 \\)"
],
[],
[
"\\( 50 \\times 4 = 200 \\)"
],
[],
[],
[
"\\( 50 \\times ... | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 657, "span_text": "\\( (50 \\times 4) = 200 \\)", "extraction_type": "internal", "span_start": 657, "span_end": 684, "original_span": "\\( (50 \\times 4) = 200 \\)"}], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 746, "span_text":... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (50 \\times 4) = 200 \\)", "final_answer": null}], [], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 50 \\times 4 = 200 \\)", "final_answer": null}], [], [], [{"is_correct": false, "error":... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [15, 21], create an equation that equals 315. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 21*15 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [15, 21], create an equation that equals 315. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5360, \"numbers\": [15, 21], \"target\": 315, \"expression\": \"21*15\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5360, "numbers": [15, 21], "target": 315, "expression": "21*15"} | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 15 and 21, we need to create an equation that equals 315. Let's break down the process into steps:\n\n### Step 1: Multiply 15 and 21\nFirst, let's multiply these two numbers together.\n\\[ 15 \\times 21 = 315 \\]\n\nThis gives us our final result, which is exactly 315.\n\n##... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
null,
null,
null,
null,
null,
null,
null,
"\\( 15 \\times 21 = 315 \\)",
"(15 * 7) + (21 * 2) = 315",
null,
null,
null,
null,
"\\( 15 \\times 21 = 315 \\)",
null,
null
] | [{"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 440, "span_end... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no... | [
[],
[],
[],
[],
[],
[],
[],
[
false
],
[
false
],
[],
[],
[],
[],
[
false
],
[],
[]
] | [
[],
[],
[],
[],
[],
[],
[],
[
"\\( 15 \\times 21 = 315 \\)"
],
[
"(15 * 7) + (21 * 2) = 315"
],
[],
[],
[],
[],
[
"\\( 15 \\times 21 = 315 \\)"
],
[],
[]
] | [[], [], [], [], [], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 440, "span_text": "\\( 15 \\times 21 = 315 \\)", "extraction_type": "internal", "span_start": 440, "span_end": 466, "original_span": "\\( 15 \\times 21 = 315 \\)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position":... | [[], [], [], [], [], [], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 15 \\times 21 = 315 \\)", "final_answer": null}], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(15 * 7) + (21 * 2) = 315", "final_answer": 315.0}], [], [], []... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [52, 65], create an equation that equals 117. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 65 + 52 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [52, 65], create an equation that equals 117. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6269, \"numbers\": [52, 65], \"target\": 117, \"expression\": \"65 + 52\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6269, "numbers": [52, 65], "target": 117, "expression": "65 + 52"} | null | null | null | null | null | null | null | [
"To solve the problem using the numbers [52, 65], we need to create an equation that equals 117 using these numbers with basic arithmetic operations. Here’s how we can approach it:\n\n1. **Identify the goal**: We need to make 117 from the numbers 52 and 65.\n2. **Consider possible combinations**: Since both numbers... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
null,
"\\( (3420 \\div 52) + (3420 \\div 65) = 117 \\)",
null,
null,
null,
null,
"No valid equation exists with only 52 and 65 using basic arithmetic operations that equals exactly 117.",
null,
"\\( 52 + 65 \\)",
"\\(65 - 52 + 9 + 19\\)",
null,
"\\(52 + 65 = 117\\)",
null,
"\\(52 + 65 = 11... | [{"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 849, "span_end": 894, "original_span": "\\( (3420 \\div 52) + (3420 \\div 65) = 117 \\)"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (3420 \\div 52) + (3420 \\div 65) = 117 \\)", "final_answer": null}, {"evaluation_method": "response_pr... | [
[],
[
false
],
[],
[],
[],
[],
[
false
],
[],
[
false
],
[
false
],
[],
[
false
],
[],
[
false
],
[],
[]
] | [
[],
[
"\\( (3420 \\div 52) + (3420 \\div 65) = 117 \\)"
],
[],
[],
[],
[],
[
"No valid equation exists with only 52 and 65 using basic arithmetic operations that equals exactly 117."
],
[],
[
"\\( 52 + 65 \\)"
],
[
"\\(65 - 52 + 9 + 19\\)"
],
[],
[
"\\(52 + 65 = 117... | [[], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 849, "span_text": "\\( (3420 \\div 52) + (3420 \\div 65) = 117 \\)", "extraction_type": "internal", "span_start": 849, "span_end": 894, "original_span": "\\( (3420 \\div 52) + (3420 \\div 65) = 117 \\)"}], [], [], [], [], [{"pattern_used": "answer tag"... | [[], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (3420 \\div 52) + (3420 \\div 65) = 117 \\)", "final_answer": null}], [], [], [], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "No valid equation exists with only 52 and 65 using basic arit... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [80, 96], create an equation that equals 176. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 80 + 96 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [80, 96], create an equation that equals 176. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6743, \"numbers\": [80, 96], \"target\": 176, \"expression\": \"80 + 96\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6743, "numbers": [80, 96], "target": 176, "expression": "80 + 96"} | null | null | null | null | null | null | null | [
"To solve for 176 using the numbers 80 and 96 with basic arithmetic operations (addition, subtraction, multiplication, division), we need to find a combination of these operations that will result in 176 when applied sequentially to either number.\n\nHere’s one possible sequence:\n\n### Step-by-Step Solution\n\n**S... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
null,
"\\(80 + 96 = 176\\)",
null,
null,
null,
null,
null,
null,
null,
null,
"\\( 80 + 96 = 176 \\)",
"\\( 80 \\times 2 + 96 - 80 = 176 \\)",
null,
null,
null,
null
] | [{"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 939, "span_end": 958, "original_span": "\\(80 + 96 = 176\\)"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extractio... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(80 + 96 = 176\\)", "final_answer": null}, {"evaluation_method": "response_processor", "reason": "no_extr... | [
[],
[
false
],
[],
[],
[],
[],
[],
[],
[],
[],
[
false
],
[
false
],
[],
[],
[],
[]
] | [
[],
[
"\\(80 + 96 = 176\\)"
],
[],
[],
[],
[],
[],
[],
[],
[],
[
"\\( 80 + 96 = 176 \\)"
],
[
"\\( 80 \\times 2 + 96 - 80 = 176 \\)"
],
[],
[],
[],
[]
] | [[], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 939, "span_text": "\\(80 + 96 = 176\\)", "extraction_type": "internal", "span_start": 939, "span_end": 958, "original_span": "\\(80 + 96 = 176\\)"}], [], [], [], [], [], [], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 2102, "... | [[], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(80 + 96 = 176\\)", "final_answer": null}], [], [], [], [], [], [], [], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 80 + 96 = 176 \\)", "final_answer": null}], [{"is_correct": false, "e... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [98, 71], create an equation that equals 169. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 98 + 71 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [98, 71], create an equation that equals 169. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5820, \"numbers\": [98, 71], \"target\": 169, \"expression\": \"98 + 71\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5820, "numbers": [98, 71], "target": 169, "expression": "98 + 71"} | null | null | null | null | null | null | null | [
"To solve for 169 using the numbers 98 and 71 with each number being used exactly once, we need to find a combination of arithmetic operations that will yield 169. Let's break down the process:\n\n### Step-by-Step Solution\n\n**Step 1:** We start by considering the larger number, which is 98.\n\\[ 98 \\times 71 \\]... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
true,
false,
false,
false,
true
] | [
null,
null,
null,
"(Not applicable due to incorrect calculation steps)",
null,
null,
null,
null,
null,
null,
"None",
"98 + 71 = 169",
null,
null,
"No such equation exists.",
"(98 + 71)"
] | [{"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 2128, "span_end": 2181, "original_span": "(Not applicable due to incorrect calculation steps)"}, {"extraction_type": "final"}, {"extra... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no... | [
[],
[],
[],
[
false
],
[],
[],
[],
[],
[],
[],
[
false
],
[
true
],
[],
[],
[
false
],
[
true
]
] | [
[],
[],
[],
[
"(Not applicable due to incorrect calculation steps)"
],
[],
[],
[],
[],
[],
[],
[
"None"
],
[
"98 + 71 = 169"
],
[],
[],
[
"No such equation exists."
],
[
"(98 + 71)"
]
] | [[], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 2128, "span_text": "(Not applicable due to incorrect calculation steps)", "extraction_type": "internal", "span_start": 2128, "span_end": 2181, "original_span": "(Not applicable due to incorrect calculation steps)"}], [], [], [], [], [], [], [{"... | [[], [], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(Not applicable due to incorrect calculation steps)", "final_answer": null}], [], [], [], [], [], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "None", "final_answer": null}], [{"is_corr... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 2,
"pass_at_n": 1,
"percent_correct": 0.125,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [38, 94], create an equation that equals 132. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 38 + 94 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [38, 94], create an equation that equals 132. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5291, \"numbers\": [38, 94], \"target\": 132, \"expression\": \"38 + 94\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5291, "numbers": [38, 94], "target": 132, "expression": "38 + 94"} | null | null | null | null | null | null | null | [
"To solve for the number 132 using the given numbers 38 and 94, we need to find a combination of these numbers through addition, subtraction, multiplication, and division. Let's break down the process:\n\n### Step-by-Step Solution\n\n**Step 1:** Start with one of the numbers (let's choose 94).\n\\[ 94 \\]\n\n**Step... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
true,
false,
false,
true,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
null,
"(38 + 94)",
"\\(38 \\times 94 - 2938 - 52 = 132\\)",
null,
"38 + 94 = 132",
null,
"\\( 94 - 6.5 * 2 + 38 = 132 \\)",
"Step 1: 94 - 38 = 56\nStep 2: 56 + 38 = 94\nStep 3: 94 + 38 = 132",
null,
"\\( 38 + 94 = 132 \\)",
null,
null,
"\\( 122.3704 \\times 1.05 = 132 \\)",
"\\( 38 + 94 = ... | [{"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1023, "span_end": 1034, "original_span": "(38 + 94)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1549, "span_end": 1585, "original_span": "\\... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(38 \\times 94 -... | [
[],
[
true
],
[
false
],
[],
[
true
],
[],
[
false
],
[
false
],
[],
[
false
],
[],
[],
[
false
],
[
false
],
[],
[
false
]
] | [
[],
[
"(38 + 94)"
],
[
"\\(38 \\times 94 - 2938 - 52 = 132\\)"
],
[],
[
"38 + 94 = 132"
],
[],
[
"\\( 94 - 6.5 * 2 + 38 = 132 \\)"
],
[
"Step 1: 94 - 38 = 56\nStep 2: 56 + 38 = 94\nStep 3: 94 + 38 = 132"
],
[],
[
"\\( 38 + 94 = 132 \\)"
],
[],
[],
[
"\... | [[], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1023, "span_text": "(38 + 94)", "extraction_type": "internal", "span_start": 1023, "span_end": 1034, "original_span": "(38 + 94)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1549, "span_text": "\\(38 \\times 94 - 2938 - 52 = 132\\... | [[], [{"is_correct": true, "error": null, "answer_block": "(38 + 94)", "final_answer": 132.0}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(38 \\times 94 - 2938 - 52 = 132\\)", "final_answer": null}], [], [{"is_correct": true, "error": null, "answer_block": "38 + 94 = 132", "fin... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 2,
"pass_at_n": 1,
"percent_correct": 0.125,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [4, 99], create an equation that equals 103. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 4 + 99 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [4, 99], create an equation that equals 103. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6176, \"numbers\": [4, 99], \"target\": 103, \"expression\": \"4 + 99\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6176, "numbers": [4, 99], "target": 103, "expression": "4 + 99"} | null | null | null | null | null | null | null | [
"To solve for 103 using the numbers 4 and 99 with basic arithmetic operations, we need to find a combination that works. Let's break it down into steps:\n\n1. First, let's try adding 4 and 99 together.\n - Step 1: \\( 4 + 99 = 103 \\)\n\nThis gives us exactly what we want (103). We don't need any other operations... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
true,
false,
false,
false,
false
] | [
"\\( 4 + 99 = 103 \\)",
"\\( 99 - 4 + 8 \\)",
null,
"\\(4 + 99 = 103\\)",
"\\( (99 + 4) \\)",
null,
"(11 + 5) * 7 + 12",
null,
null,
null,
"\\(99 - 4 + 4\\)",
"4 + 99",
null,
"\\(4 + 99 - 6 = 103\\)",
null,
"No solution found."
] | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 388, "span_end": 408, "original_span": "\\( 4 + 99 = 103 \\)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 945, "span_end": 963, "original_span": "\\( 99 - 4 + 8 \\)"}, {"e... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 4 + 99 = 103 \\)", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 99 - 4 + 8 \\)", "final_answer": null}, {"evaluation_method": "response_processor", "reason": "no_extracted... | [
[
false
],
[
false
],
[],
[
false
],
[
false
],
[],
[
false
],
[],
[],
[],
[
false
],
[
true
],
[],
[
false
],
[],
[
false
]
] | [
[
"\\( 4 + 99 = 103 \\)"
],
[
"\\( 99 - 4 + 8 \\)"
],
[],
[
"\\(4 + 99 = 103\\)"
],
[
"\\( (99 + 4) \\)"
],
[],
[
"(11 + 5) * 7 + 12"
],
[],
[],
[],
[
"\\(99 - 4 + 4\\)"
],
[
"4 + 99"
],
[],
[
"\\(4 + 99 - 6 = 103\\)"
],
[],
[
"No sol... | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 388, "span_text": "\\( 4 + 99 = 103 \\)", "extraction_type": "internal", "span_start": 388, "span_end": 408, "original_span": "\\( 4 + 99 = 103 \\)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 945, "span_text": "\\( 99 - 4 + 8 \\)", "... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 4 + 99 = 103 \\)", "final_answer": null}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 99 - 4 + 8 \\)", "final_answer": null}], [], [{"is_correct": false, "error": "Could not evaluate express... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 1,
"pass_at_n": 1,
"percent_correct": 0.0625,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [74, 32], create an equation that equals 106. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 32 + 74 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [74, 32], create an equation that equals 106. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5605, \"numbers\": [74, 32], \"target\": 106, \"expression\": \"32 + 74\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5605, "numbers": [74, 32], "target": 106, "expression": "32 + 74"} | null | null | null | null | null | null | null | [
"To solve this problem using the given numbers [74, 32], we need to find an equation that equals 106 using these two numbers and basic arithmetic operations. Here’s how we can approach it:\n\n1. **Identify the goal**: We need to make the sum equal to 106.\n2. **Consider possible combinations**: Since we have two nu... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
true,
true,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
true,
false,
false
] | [
"\\(74 + 32\\)",
"(74 + 32)",
"74 + 32 = 106",
"\\(74 \\times 32 = 2368\\)\n\\(2368 \\div 23 = 106\\)",
null,
"\\( 74 + 32 = 106 \\)",
null,
"\\(74 + 32 = 106\\)",
"\\(74 + 32 = 106\\)",
null,
null,
null,
"\\( 74 + 32 = 106 \\)",
"Step 1: 74 + 32 = 106",
null,
null
] | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1626, "span_end": 1639, "original_span": "\\(74 + 32\\)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 555, "span_end": 566, "original_span": "(74 + 32)"}, {"extraction_type... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(74 + 32\\)", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}, {"is_correct": true, "error": null, "answer_block": "74 + 32 = 106", "final_answer": 106.0}, {"is_correct": fa... | [
[
false
],
[
true
],
[
true
],
[
false
],
[],
[
false
],
[],
[
false
],
[
false
],
[],
[],
[],
[
false
],
[
true
],
[],
[]
] | [
[
"\\(74 + 32\\)"
],
[
"(74 + 32)"
],
[
"74 + 32 = 106"
],
[
"\\(74 \\times 32 = 2368\\)\n\\(2368 \\div 23 = 106\\)"
],
[],
[
"\\( 74 + 32 = 106 \\)"
],
[],
[
"\\(74 + 32 = 106\\)"
],
[
"\\(74 + 32 = 106\\)"
],
[],
[],
[],
[
"\\( 74 + 32 = 106 \\... | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 1626, "span_text": "\\(74 + 32\\)", "extraction_type": "internal", "span_start": 1626, "span_end": 1639, "original_span": "\\(74 + 32\\)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 555, "span_text": "(74 + 32)", "extraction_type": "i... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(74 + 32\\)", "final_answer": null}], [{"is_correct": true, "error": null, "answer_block": "(74 + 32)", "final_answer": 106.0}], [{"is_correct": true, "error": null, "answer_block": "74 + 32 = 106", "final_answer": 106.0}], [{"is_corre... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 3,
"pass_at_n": 1,
"percent_correct": 0.1875,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [51, 8], create an equation that equals 408. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 8*51 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [51, 8], create an equation that equals 408. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5621, \"numbers\": [51, 8], \"target\": 408, \"expression\": \"8*51\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5621, "numbers": [51, 8], "target": 408, "expression": "8*51"} | null | null | null | null | null | null | null | [
"To solve for 408 using the numbers 51 and 8 with basic arithmetic operations (addition, subtraction, multiplication, division), we need to consider different combinations and orderings of these operations. Here’s one possible approach:\n\n1. Start with 51 because it might help simplify the calculation.\n2. We can ... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
true,
true,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"\\( 51 \\times 8 \\)",
"\\(51 \\times 8\\)",
null,
null,
null,
null,
"(51 * 8)",
"(51 * 8)",
"\\( 428 - 48 \\times 9 \\)",
null,
null,
null,
null,
"\\(51 \\times 8\\)",
null,
null
] | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 698, "span_end": 717, "original_span": "\\( 51 \\times 8 \\)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 665, "span_end": 682, "original_span": "\\(51 \\times 8\\)"}, {"e... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 51 \\times 8 \\)", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(51 \\times 8\\)", "final_answer": null}, {"evaluation_method": "response_processor", "reason": "no_extracted... | [
[
false
],
[
false
],
[],
[],
[],
[],
[
true
],
[
true
],
[
false
],
[],
[],
[],
[],
[
false
],
[],
[]
] | [
[
"\\( 51 \\times 8 \\)"
],
[
"\\(51 \\times 8\\)"
],
[],
[],
[],
[],
[
"(51 * 8)"
],
[
"(51 * 8)"
],
[
"\\( 428 - 48 \\times 9 \\)"
],
[],
[],
[],
[],
[
"\\(51 \\times 8\\)"
],
[],
[]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 698, "span_text": "\\( 51 \\times 8 \\)", "extraction_type": "internal", "span_start": 698, "span_end": 717, "original_span": "\\( 51 \\times 8 \\)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 665, "span_text": "\\(51 \\times 8\\)", "... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 51 \\times 8 \\)", "final_answer": null}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(51 \\times 8\\)", "final_answer": null}], [], [], [], [], [{"is_correct": true, "error": null, "answer_bl... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 2,
"pass_at_n": 1,
"percent_correct": 0.125,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [63, 94], create an equation that equals 157. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 94 + 63 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [63, 94], create an equation that equals 157. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6071, \"numbers\": [63, 94], \"target\": 157, \"expression\": \"94 + 63\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6071, "numbers": [63, 94], "target": 157, "expression": "94 + 63"} | null | null | null | null | null | null | null | [
"To solve for the target number 157 using the given numbers 63 and 94 with each number used exactly once, we need to strategically combine these numbers through addition, subtraction, multiplication, and division. Here’s how we can do it:\n\n### Step-by-Step Solution\n\n1. **Multiply 63 and 94**:\n \\[\n 63 * 9... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
true,
false,
false,
false,
false,
true,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
null,
"63 + 94 = 157",
null,
"\\(63 + 94 = 157\\)",
"Not possible",
"\\(63 + 94 = 157\\)",
"(63 + 94)",
null,
null,
"(94 + 63) + 2",
null,
null,
"\\(63 + 94 - 31\\)",
"\\(94 + 63\\)",
null,
null
] | [{"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 268, "span_end": 283, "original_span": "63 + 94 = 157"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 857, "span_e... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": true, "error": null, "answer_block": "63 + 94 = 157", "final_answer": 157.0}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result... | [
[],
[
true
],
[],
[
false
],
[
false
],
[
false
],
[
true
],
[],
[],
[
false
],
[],
[],
[
false
],
[
false
],
[],
[]
] | [
[],
[
"63 + 94 = 157"
],
[],
[
"\\(63 + 94 = 157\\)"
],
[
"Not possible"
],
[
"\\(63 + 94 = 157\\)"
],
[
"(63 + 94)"
],
[],
[],
[
"(94 + 63) + 2"
],
[],
[],
[
"\\(63 + 94 - 31\\)"
],
[
"\\(94 + 63\\)"
],
[],
[]
] | [[], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 268, "span_text": "63 + 94 = 157", "extraction_type": "internal", "span_start": 268, "span_end": 283, "original_span": "63 + 94 = 157"}], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 857, "span_text": "\\(63 + 94 = 157\\)", "extra... | [[], [{"is_correct": true, "error": null, "answer_block": "63 + 94 = 157", "final_answer": 157.0}], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(63 + 94 = 157\\)", "final_answer": null}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "Not po... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 2,
"pass_at_n": 1,
"percent_correct": 0.125,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [47, 78], create an equation that equals 125. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 47 + 78 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [47, 78], create an equation that equals 125. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5486, \"numbers\": [47, 78], \"target\": 125, \"expression\": \"47 + 78\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5486, "numbers": [47, 78], "target": 125, "expression": "47 + 78"} | null | null | null | null | null | null | null | [
"To solve this problem using the given numbers [47, 78], we need to form an equation that equals 125. Let's break down the process:\n\n1. **Identify the numbers**: We have two numbers: 47 and 78.\n2. **Consider possible combinations**: To get close to 125, we might want to multiply these numbers together because mu... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
true,
false,
false,
true,
false,
false,
false,
false,
false,
true,
false,
false,
false,
false
] | [
null,
"\\(47 + 78 = 125\\)",
"47 + 78",
"\\(47 + 78 = 125\\)",
null,
"(47 + 78)",
"\\(47 + 78 = 125\\)",
null,
null,
"\\( (47 \\times 78) \\div 9 \\)",
null,
"(47 + 78)",
null,
null,
null,
null
] | [{"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1106, "span_end": 1125, "original_span": "\\(47 + 78 = 125\\)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 470, "span_end": 479, "original_sp... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(47 + 78 = 125\\)", "final_answer": null}, {"is_correct": true, "error": null, "answer_block": "47 + 78",... | [
[],
[
false
],
[
true
],
[
false
],
[],
[
true
],
[
false
],
[],
[],
[
false
],
[],
[
true
],
[],
[],
[],
[]
] | [
[],
[
"\\(47 + 78 = 125\\)"
],
[
"47 + 78"
],
[
"\\(47 + 78 = 125\\)"
],
[],
[
"(47 + 78)"
],
[
"\\(47 + 78 = 125\\)"
],
[],
[],
[
"\\( (47 \\times 78) \\div 9 \\)"
],
[],
[
"(47 + 78)"
],
[],
[],
[],
[]
] | [[], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1106, "span_text": "\\(47 + 78 = 125\\)", "extraction_type": "internal", "span_start": 1106, "span_end": 1125, "original_span": "\\(47 + 78 = 125\\)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 470, "span_text": "47 + 78", "extrac... | [[], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(47 + 78 = 125\\)", "final_answer": null}], [{"is_correct": true, "error": null, "answer_block": "47 + 78", "final_answer": 125.0}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(47 + 78 = 125... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 3,
"pass_at_n": 1,
"percent_correct": 0.1875,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [4, 98], create an equation that equals 392. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 4*98 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [4, 98], create an equation that equals 392. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5876, \"numbers\": [4, 98], \"target\": 392, \"expression\": \"4*98\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5876, "numbers": [4, 98], "target": 392, "expression": "4*98"} | null | null | null | null | null | null | null | [
"To solve this problem using the given numbers [4, 98], we need to form an equation that equals 392. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target Number**: We want to achieve the number 392.\n2. **Consider Multiplication**: Multiplying two numbers often helps in achieving l... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
null,
"\\(98 \\times 4\\)",
null,
null,
"\\(4 \\times 98\\)",
"(390 + 2)",
null,
"\\( 98 \\times 4 = 392 \\)",
"Step 1: Multiply 4 by 49.\nStep 2: Add 98 to the product.\nStep 3: Multiply the sum by 1.3.\nStep 4: Add 10 to the result.",
"\\( 4 \\times 98 = 392 \\)",
"\\( 4 \\times 98 = 392 \\)",... | [{"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 528, "span_end": 545, "original_span": "\\(98 \\times 4\\)"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_sp... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(98 \\times 4\\)", "final_answer": null}, {"evaluation_method": "response_processor", "reason": "no_extra... | [
[],
[
false
],
[],
[],
[
false
],
[
false
],
[],
[
false
],
[
false
],
[
false
],
[
false
],
[],
[
false
],
[],
[],
[
false
]
] | [
[],
[
"\\(98 \\times 4\\)"
],
[],
[],
[
"\\(4 \\times 98\\)"
],
[
"(390 + 2)"
],
[],
[
"\\( 98 \\times 4 = 392 \\)"
],
[
"Step 1: Multiply 4 by 49.\nStep 2: Add 98 to the product.\nStep 3: Multiply the sum by 1.3.\nStep 4: Add 10 to the result."
],
[
"\\( 4 \\time... | [[], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 528, "span_text": "\\(98 \\times 4\\)", "extraction_type": "internal", "span_start": 528, "span_end": 545, "original_span": "\\(98 \\times 4\\)"}], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 738, "span_text": "\\(4 \\times 9... | [[], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(98 \\times 4\\)", "final_answer": null}], [], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(4 \\times 98\\)", "final_answer": null}], [{"is_correct": false, "error": "Expression uses an u... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [90, 39], create an equation that equals 129. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 39 + 90 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [90, 39], create an equation that equals 129. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5228, \"numbers\": [90, 39], \"target\": 129, \"expression\": \"39 + 90\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5228, "numbers": [90, 39], "target": 129, "expression": "39 + 90"} | null | null | null | null | null | null | null | [
"To solve for 129 using the numbers 90 and 39 with basic arithmetic operations (addition, subtraction, multiplication, division), we need to strategically combine these numbers to achieve the target sum. Let's break down the process:\n\n1. **Identify the goal**: We want to end up with the number 129.\n2. **Consider... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
true,
false,
false,
false,
false,
true,
true,
false,
false,
false
] | [
null,
null,
"\\(90 + 39 = 129\\)",
null,
null,
null,
"90 + 39 = 129",
"\\(90 + 39 = 129\\)",
null,
null,
null,
"(90 + 39)",
"(90 + 39) = 129",
null,
"None of the provided methods achieve the exact sum of 129 using 90 and 39 with standard arithmetic operations.",
null
] | [{"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1348, "span_end": 1367, "original_span": "\\(90 + 39 = 129\\)"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extract... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": false, "error": "Could not evaluate expres... | [
[],
[],
[
false
],
[],
[],
[],
[
true
],
[
false
],
[],
[],
[],
[
true
],
[
true
],
[],
[
false
],
[]
] | [
[],
[],
[
"\\(90 + 39 = 129\\)"
],
[],
[],
[],
[
"90 + 39 = 129"
],
[
"\\(90 + 39 = 129\\)"
],
[],
[],
[],
[
"(90 + 39)"
],
[
"(90 + 39) = 129"
],
[],
[
"None of the provided methods achieve the exact sum of 129 using 90 and 39 with standard arithmetic o... | [[], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1348, "span_text": "\\(90 + 39 = 129\\)", "extraction_type": "internal", "span_start": 1348, "span_end": 1367, "original_span": "\\(90 + 39 = 129\\)"}], [], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 2358, "span_text": "... | [[], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(90 + 39 = 129\\)", "final_answer": null}], [], [], [], [{"is_correct": true, "error": null, "answer_block": "90 + 39 = 129", "final_answer": 129.0}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_blo... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 3,
"pass_at_n": 1,
"percent_correct": 0.1875,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [74, 60], create an equation that equals 134. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 74 + 60 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [74, 60], create an equation that equals 134. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6123, \"numbers\": [74, 60], \"target\": 134, \"expression\": \"74 + 60\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6123, "numbers": [74, 60], "target": 134, "expression": "74 + 60"} | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 74 and 60 with the given constraints:\n\n1. **Identify the goal**: We need to create an equation that equals 134.\n2. **Consider possible combinations**: Since we have two numbers (74 and 60), let's start by trying different combinations of these numbers and operations.\n3. ... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
true,
false,
false,
false,
false,
false
] | [
"\\(74 + 60 = 134\\)",
"No valid single equation or sequence of operations yields exactly 134 using 74 and 60 with standard arithmetic operations.",
null,
"\\( (74 + 60) = 134 \\)",
"\\( 74 + 60 = 134 \\)",
"\\( 74 + 60 = 134 \\)",
"(120 + 74) - 60",
"\\(74 + 60 = 134\\)",
null,
null,
"(74 + 60)... | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1917, "span_end": 1936, "original_span": "\\(74 + 60 = 134\\)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1832, "span_end": 1956, "original_span": "No valid single equati... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(74 + 60 = 134\\)", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "No valid single equation or sequence of operations yields exactly 134 using 74 and 60 with standard arithmetic o... | [
[
false
],
[
false
],
[],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[],
[],
[
true
],
[],
[],
[],
[],
[]
] | [
[
"\\(74 + 60 = 134\\)"
],
[
"No valid single equation or sequence of operations yields exactly 134 using 74 and 60 with standard arithmetic operations."
],
[],
[
"\\( (74 + 60) = 134 \\)"
],
[
"\\( 74 + 60 = 134 \\)"
],
[
"\\( 74 + 60 = 134 \\)"
],
[
"(120 + 74) - 60"
... | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 1917, "span_text": "\\(74 + 60 = 134\\)", "extraction_type": "internal", "span_start": 1917, "span_end": 1936, "original_span": "\\(74 + 60 = 134\\)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1832, "span_text": "No valid single equa... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(74 + 60 = 134\\)", "final_answer": null}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "No valid single equation or sequence of operations yields exactly 134 using 74 and 60 with standard arithmeti... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 1,
"pass_at_n": 1,
"percent_correct": 0.0625,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [47, 14], create an equation that equals 658. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 47*14 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [47, 14], create an equation that equals 658. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5581, \"numbers\": [47, 14], \"target\": 658, \"expression\": \"47*14\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5581, "numbers": [47, 14], "target": 658, "expression": "47*14"} | null | null | null | null | null | null | null | [
"To solve for the number 658 using the given numbers [47, 14], we need to find a combination of addition, subtraction, multiplication, and division that will result in 658. Let's break down the process:\n\n### Step-by-Step Solution\n\n**Step 1:** We start with two numbers, 47 and 14.\n- **Action:** Add them togethe... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
null,
null,
null,
"(47 + 14) * 10 - 9",
null,
null,
"((47 + 14) + 50 - 14) * 4",
null,
null,
"\\( (47 * 14) \\)",
null,
null,
"\\(610 \\times 10 - 9 + 17\\)",
null,
"\\(47 * 14\\)",
null
] | [{"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1358, "span_end": 1378, "original_span": "(47 + 14) * 10 - 9"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extracti... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no... | [
[],
[],
[],
[
false
],
[],
[],
[
false
],
[],
[],
[
false
],
[],
[],
[
false
],
[],
[
false
],
[]
] | [
[],
[],
[],
[
"(47 + 14) * 10 - 9"
],
[],
[],
[
"((47 + 14) + 50 - 14) * 4"
],
[],
[],
[
"\\( (47 * 14) \\)"
],
[],
[],
[
"\\(610 \\times 10 - 9 + 17\\)"
],
[],
[
"\\(47 * 14\\)"
],
[]
] | [[], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1358, "span_text": "(47 + 14) * 10 - 9", "extraction_type": "internal", "span_start": 1358, "span_end": 1378, "original_span": "(47 + 14) * 10 - 9"}], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 929, "span_text": "((4... | [[], [], [], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(47 + 14) * 10 - 9", "final_answer": 658.0}], [], [], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "((47 + 14) + 50 - 14) * 4", "final_answer": 658.0}], [], [], [{"is_co... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [16, 37], create an equation that equals 592. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 16*37 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [16, 37], create an equation that equals 592. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5636, \"numbers\": [16, 37], \"target\": 592, \"expression\": \"16*37\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5636, "numbers": [16, 37], "target": 592, "expression": "16*37"} | null | null | null | null | null | null | null | [
"To solve for 592 using the numbers 16 and 37 with basic arithmetic operations, we need to find a combination that works. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the first number:** \n - We begin with 16.\n \n2. **Add another number to form a larger base:**\n - Adding 37 ... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"Step 1: 16 + 37 = 53\nStep 2: 53 * 10 = 530\nStep 3: 530 - 8 = 522\nStep 4: 522 + 10 = 532",
null,
null,
null,
null,
null,
null,
"\\( (16 \\times 37) - 16 \\)",
null,
null,
null,
"\\( 16 \\times 37 = 592 \\)",
"\\( (16 + 37) * 10 + 62 = 592 \\)",
"\\( 16 \\times 37 \\)",
null,
null
] | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1491, "span_end": 1580, "original_span": "Step 1: 16 + 37 = 53\nStep 2: 53 * 10 = 530\nStep 3: 530 - 8 = 522\nStep 4: 522 + 10 = 532"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}... | [{"is_correct": false, "error": "Line uses unavailable numbers: Step 2: 53 * 10 = 530", "answer_block": "Step 1: 16 + 37 = 53\nStep 2: 53 * 10 = 530\nStep 3: 530 - 8 = 522\nStep 4: 522 + 10 = 532", "final_answer": 530.0}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": ... | [
[
false
],
[],
[],
[],
[],
[],
[],
[
false
],
[],
[],
[],
[
false
],
[
false
],
[
false
],
[],
[]
] | [
[
"Step 1: 16 + 37 = 53\nStep 2: 53 * 10 = 530\nStep 3: 530 - 8 = 522\nStep 4: 522 + 10 = 532"
],
[],
[],
[],
[],
[],
[],
[
"\\( (16 \\times 37) - 16 \\)"
],
[],
[],
[],
[
"\\( 16 \\times 37 = 592 \\)"
],
[
"\\( (16 + 37) * 10 + 62 = 592 \\)"
],
[
"\\( 16 \\time... | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 1491, "span_text": "Step 1: 16 + 37 = 53\nStep 2: 53 * 10 = 530\nStep 3: 530 - 8 = 522\nStep 4: 522 + 10 = 532", "extraction_type": "internal", "span_start": 1491, "span_end": 1580, "original_span": "Step 1: 16 + 37 = 53\nStep 2: 53 * 10 = 530\nStep 3: 530... | [[{"is_correct": false, "error": "Line uses unavailable numbers: Step 2: 53 * 10 = 530", "answer_block": "Step 1: 16 + 37 = 53\nStep 2: 53 * 10 = 530\nStep 3: 530 - 8 = 522\nStep 4: 522 + 10 = 532", "final_answer": 530.0}], [], [], [], [], [], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [42, 88], create an equation that equals 130. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 42 + 88 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [42, 88], create an equation that equals 130. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6628, \"numbers\": [42, 88], \"target\": 130, \"expression\": \"42 + 88\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6628, "numbers": [42, 88], "target": 130, "expression": "42 + 88"} | null | null | null | null | null | null | null | [
"To solve this problem using the given numbers [42, 88], we need to create an equation that equals 130. Let's break down the process into steps:\n\n### Step-by-Step Solution\n\n**Step 1:** Start with the sum of 42 and 88.\n - \\( 42 + 88 \\)\n\n**Step 2:** Subtract 56 from the result obtained in Step 1 (since 56 ... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
true,
false,
false,
false,
false,
false,
false
] | [
null,
null,
null,
"\\(42 + 88\\)",
null,
"\\(42 + 88\\)",
"\\( (42 \\times 88) - 130 / 27 \\)",
null,
null,
"(42 + 88)",
null,
"\\( (42 \\times 88) - (42 \\times 88) + 130 \\)",
"\\( 42 + 88 \\)",
null,
"\\(42 \\times 88 + 1\\)",
"\\( 67 + 63 = 130 \\)"
] | [{"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1713, "span_end": 1726, "original_span": "\\(42 + 88\\)"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_fou... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no... | [
[],
[],
[],
[
false
],
[],
[
false
],
[
false
],
[],
[],
[
true
],
[],
[
false
],
[
false
],
[],
[
false
],
[
false
]
] | [
[],
[],
[],
[
"\\(42 + 88\\)"
],
[],
[
"\\(42 + 88\\)"
],
[
"\\( (42 \\times 88) - 130 / 27 \\)"
],
[],
[],
[
"(42 + 88)"
],
[],
[
"\\( (42 \\times 88) - (42 \\times 88) + 130 \\)"
],
[
"\\( 42 + 88 \\)"
],
[],
[
"\\(42 \\times 88 + 1\\)"
],
[
... | [[], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1713, "span_text": "\\(42 + 88\\)", "extraction_type": "internal", "span_start": 1713, "span_end": 1726, "original_span": "\\(42 + 88\\)"}], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 545, "span_text": "\\(42 + 88\\)", "... | [[], [], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(42 + 88\\)", "final_answer": null}], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(42 + 88\\)", "final_answer": null}], [{"is_correct": false, "error": "Could not evaluate express... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 1,
"pass_at_n": 1,
"percent_correct": 0.0625,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [14, 8], create an equation that equals 112. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 8*14 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [14, 8], create an equation that equals 112. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6059, \"numbers\": [14, 8], \"target\": 112, \"expression\": \"8*14\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6059, "numbers": [14, 8], "target": 112, "expression": "8*14"} | null | null | null | null | null | null | null | [
"To solve for 112 using the numbers 14 and 8 with basic arithmetic operations, we need to find a combination of these numbers that will result in 112 when combined through addition, subtraction, multiplication, or division. Here’s how we can approach it:\n\n1. **Identify the target**: We need to achieve 112.\n2. **... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"\\(14 \\times 8\\)",
"\\(14 \\times 8 = 112\\)",
null,
null,
null,
null,
null,
null,
"\\( (8 \\times 8) + 14 = 112 \\)",
null,
null,
null,
null,
"\\(14 \\times 8\\)",
null,
null
] | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 707, "span_end": 724, "original_span": "\\(14 \\times 8\\)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 482, "span_end": 505, "original_span": "\\(14 \\times 8 = 112\\)"},... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(14 \\times 8\\)", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(14 \\times 8 = 112\\)", "final_answer": null}, {"evaluation_method": "response_processor", "reason": "no_extra... | [
[
false
],
[
false
],
[],
[],
[],
[],
[],
[],
[
false
],
[],
[],
[],
[],
[
false
],
[],
[]
] | [
[
"\\(14 \\times 8\\)"
],
[
"\\(14 \\times 8 = 112\\)"
],
[],
[],
[],
[],
[],
[],
[
"\\( (8 \\times 8) + 14 = 112 \\)"
],
[],
[],
[],
[],
[
"\\(14 \\times 8\\)"
],
[],
[]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 707, "span_text": "\\(14 \\times 8\\)", "extraction_type": "internal", "span_start": 707, "span_end": 724, "original_span": "\\(14 \\times 8\\)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 482, "span_text": "\\(14 \\times 8 = 112\\)",... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(14 \\times 8\\)", "final_answer": null}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(14 \\times 8 = 112\\)", "final_answer": null}], [], [], [], [], [], [], [{"is_correct": false, "error": "Co... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [75, 56], create an equation that equals 131. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 56 + 75 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [75, 56], create an equation that equals 131. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6475, \"numbers\": [75, 56], \"target\": 131, \"expression\": \"56 + 75\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6475, "numbers": [75, 56], "target": 131, "expression": "56 + 75"} | null | null | null | null | null | null | null | [
"To solve the problem using the numbers 75 and 56, we need to create an equation that equals 131. We will use the given numbers exactly once and apply basic arithmetic operations.\n\n### Step-by-Step Solution:\n\n1. **Start with the first number:** \n - Let's start with \\(75\\).\n\n2. **Multiply by the second nu... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"No valid combination of the numbers 75 and 56 using basic arithmetic operations (+, -, *, /) can achieve exactly 131.",
"\\( (75 \\times 56) - 1 + 75 \\)",
"\\( 75 + 56 = 131 \\)",
"\\( 75 + 56 = 131 \\)",
"\\( (120 \\div 56) \\times 75 + 11 = 131 \\)",
"\\(75 + 56 = 131\\)",
"\\(75 + 56 = 131\\)",
n... | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1640, "span_end": 1759, "original_span": "No valid combination of the numbers 75 and 56 using basic arithmetic operations (+, -, *, /) can achieve exactly 131."}, {"extraction_type": "final", "total_spans_found": 1, "non_ove... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "No valid combination of the numbers 75 and 56 using basic arithmetic operations (+, -, *, /) can achieve exactly 131.", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (75 \\time... | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[],
[],
[],
[
false
],
[
false
],
[
false
],
[],
[
false
],
[]
] | [
[
"No valid combination of the numbers 75 and 56 using basic arithmetic operations (+, -, *, /) can achieve exactly 131."
],
[
"\\( (75 \\times 56) - 1 + 75 \\)"
],
[
"\\( 75 + 56 = 131 \\)"
],
[
"\\( 75 + 56 = 131 \\)"
],
[
"\\( (120 \\div 56) \\times 75 + 11 = 131 \\)"
],
[... | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 1640, "span_text": "No valid combination of the numbers 75 and 56 using basic arithmetic operations (+, -, *, /) can achieve exactly 131.", "extraction_type": "internal", "span_start": 1640, "span_end": 1759, "original_span": "No valid combination of the n... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "No valid combination of the numbers 75 and 56 using basic arithmetic operations (+, -, *, /) can achieve exactly 131.", "final_answer": null}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (75 \\t... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [17, 34], create an equation that equals 578. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 34*17 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [17, 34], create an equation that equals 578. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5946, \"numbers\": [17, 34], \"target\": 578, \"expression\": \"34*17\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5946, "numbers": [17, 34], "target": 578, "expression": "34*17"} | null | null | null | null | null | null | null | [
"To solve this problem, we need to combine the given numbers [17, 34] using basic arithmetic operations to get the target number 578. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Start with the first number:** \n - We have the number 17.\n \n2. **Add another number to make a larger sum:**\... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"((17 + 34 + 34) * 10) + 8",
null,
null,
null,
"(34 + 17) * 17 = 578",
null,
null,
null,
null,
null,
null,
null,
null,
null,
null,
null
] | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1055, "span_end": 1082, "original_span": "((17 + 34 + 34) * 10) + 8"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overl... | [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "((17 + 34 + 34) * 10) + 8", "final_answer": 578.0}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "... | [
[
false
],
[],
[],
[],
[
false
],
[],
[],
[],
[],
[],
[],
[],
[],
[],
[],
[]
] | [
[
"((17 + 34 + 34) * 10) + 8"
],
[],
[],
[],
[
"(34 + 17) * 17 = 578"
],
[],
[],
[],
[],
[],
[],
[],
[],
[],
[],
[]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 1055, "span_text": "((17 + 34 + 34) * 10) + 8", "extraction_type": "internal", "span_start": 1055, "span_end": 1082, "original_span": "((17 + 34 + 34) * 10) + 8"}], [], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 2683, "span_text... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "((17 + 34 + 34) * 10) + 8", "final_answer": 578.0}], [], [], [], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(34 + 17) * 17 = 578", "final_answer": 578.0}], [], [], [], [], [], []... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [6, 25], create an equation that equals 150. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 25*6 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [6, 25], create an equation that equals 150. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5763, \"numbers\": [6, 25], \"target\": 150, \"expression\": \"25*6\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5763, "numbers": [6, 25], "target": 150, "expression": "25*6"} | null | null | null | null | null | null | null | [
"To solve the problem using the given numbers [6, 25], we need to find a combination of these numbers and basic arithmetic operations (addition, subtraction, multiplication, division) that will result in the target number 150. Let's break down the process:\n\n### Step-by-Step Reasoning\n\n1. **Identify the Numbers*... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
true,
false,
false
] | [
"\\(6 \\times 25 = 150\\)",
"\\( 6 \\times 25 = 150 \\)",
"\\( 25 \\times 6 = 150 \\)",
null,
"\\( 25 \\times 6 = 150 \\)",
"\\(25 * 6 = 150\\)",
"\\(25 \\times 6 = 150\\)",
null,
null,
null,
null,
null,
"\\(6 \\times 25\\)",
"(25 * 6)",
"\\(6 \\times 25\\)",
null
] | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 766, "span_end": 789, "original_span": "\\(6 \\times 25 = 150\\)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 300, "span_end": 325, "original_span": "\\( 6 \\times 25 = 15... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(6 \\times 25 = 150\\)", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 6 \\times 25 = 150 \\)", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expr... | [
[
false
],
[
false
],
[
false
],
[],
[
false
],
[
false
],
[
false
],
[],
[],
[],
[],
[],
[
false
],
[
true
],
[
false
],
[]
] | [
[
"\\(6 \\times 25 = 150\\)"
],
[
"\\( 6 \\times 25 = 150 \\)"
],
[
"\\( 25 \\times 6 = 150 \\)"
],
[],
[
"\\( 25 \\times 6 = 150 \\)"
],
[
"\\(25 * 6 = 150\\)"
],
[
"\\(25 \\times 6 = 150\\)"
],
[],
[],
[],
[],
[],
[
"\\(6 \\times 25\\)"
],
[
... | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 766, "span_text": "\\(6 \\times 25 = 150\\)", "extraction_type": "internal", "span_start": 766, "span_end": 789, "original_span": "\\(6 \\times 25 = 150\\)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 300, "span_text": "\\( 6 \\times ... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(6 \\times 25 = 150\\)", "final_answer": null}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 6 \\times 25 = 150 \\)", "final_answer": null}], [{"is_correct": false, "error": "Could not evaluate... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 1,
"pass_at_n": 1,
"percent_correct": 0.0625,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [97, 58], create an equation that equals 155. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 58 + 97 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [97, 58], create an equation that equals 155. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5393, \"numbers\": [97, 58], \"target\": 155, \"expression\": \"58 + 97\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5393, "numbers": [97, 58], "target": 155, "expression": "58 + 97"} | null | null | null | null | null | null | null | [
"To solve for the equation using the numbers [97, 58] that equals 155, we need to follow these steps:\n\n1. Identify how to combine the two given numbers to get close to 155.\n2. Use basic arithmetic operations like addition, subtraction, multiplication, and division.\n\nLet's start with the first number, 97. We ca... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
true,
false,
false,
false,
false,
true,
false,
false,
false,
false,
true,
false,
true,
false,
false,
false
] | [
"97 + 58 = 155",
null,
null,
"\\(97 - 58 = 39\\)\n\\(39 + 58 = 155\\)",
"\\( 97 + 58 \\)",
"Step 1: 97 + 58 = 155",
"\\( 97 - 58 + 16 + 100 \\)",
null,
"\\(97 + 58\\)",
"Step 1: 97 - 58 = 39\nStep 2: 39 * 4 = 156\nStep 3: 156 - 1 = 155",
"(97 + 58)",
null,
"(97 + 58)",
"\\(97 + 58 = 155\\)... | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 710, "span_end": 725, "original_span": "97 + 58 = 155"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 2096, "span_... | [{"is_correct": true, "error": null, "answer_block": "97 + 58 = 155", "final_answer": 155.0}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result... | [
[
true
],
[],
[],
[
false
],
[
false
],
[
true
],
[
false
],
[],
[
false
],
[
false
],
[
true
],
[],
[
true
],
[
false
],
[
false
],
[]
] | [
[
"97 + 58 = 155"
],
[],
[],
[
"\\(97 - 58 = 39\\)\n\\(39 + 58 = 155\\)"
],
[
"\\( 97 + 58 \\)"
],
[
"Step 1: 97 + 58 = 155"
],
[
"\\( 97 - 58 + 16 + 100 \\)"
],
[],
[
"\\(97 + 58\\)"
],
[
"Step 1: 97 - 58 = 39\nStep 2: 39 * 4 = 156\nStep 3: 156 - 1 = 155"
... | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 710, "span_text": "97 + 58 = 155", "extraction_type": "internal", "span_start": 710, "span_end": 725, "original_span": "97 + 58 = 155"}], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 2096, "span_text": "\\(97 - 58 = 39\\)\n\\(39 +... | [[{"is_correct": true, "error": null, "answer_block": "97 + 58 = 155", "final_answer": 155.0}], [], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(97 - 58 = 39\\)\n\\(39 + 58 = 155\\)", "final_answer": null}], [{"is_correct": false, "error": "Could not evaluate expression", "an... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 4,
"pass_at_n": 1,
"percent_correct": 0.25,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [78, 32], create an equation that equals 110. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 78 + 32 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [78, 32], create an equation that equals 110. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5447, \"numbers\": [78, 32], \"target\": 110, \"expression\": \"78 + 32\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5447, "numbers": [78, 32], "target": 110, "expression": "78 + 32"} | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 78 and 32, we need to find a way to combine them with basic arithmetic operations to get the target number, which is 110. Here’s how we can do it:\n\n### Step-by-Step Solution\n\n1. **Start with the first number:** We begin with 78.\n2. **Add the second number:** Next, add 3... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
true,
false,
false
] | [
null,
null,
null,
"\\( 78 + 32 = 110 \\)",
"\\(78 + 32 = 110\\)",
null,
null,
null,
null,
"\\( 78 + 32 \\)",
"\\( (78 + 32) = 110 \\)",
"\\( 78 - 32 + 32 \\)",
null,
"Step 1: 78\nStep 2: 78 + 32 = 110",
null,
null
] | [{"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 637, "span_end": 658, "original_span": "\\( 78 + 32 = 110 \\)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no... | [
[],
[],
[],
[
false
],
[
false
],
[],
[],
[],
[],
[
false
],
[
false
],
[
false
],
[],
[
true
],
[],
[]
] | [
[],
[],
[],
[
"\\( 78 + 32 = 110 \\)"
],
[
"\\(78 + 32 = 110\\)"
],
[],
[],
[],
[],
[
"\\( 78 + 32 \\)"
],
[
"\\( (78 + 32) = 110 \\)"
],
[
"\\( 78 - 32 + 32 \\)"
],
[],
[
"Step 1: 78\nStep 2: 78 + 32 = 110"
],
[],
[]
] | [[], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 637, "span_text": "\\( 78 + 32 = 110 \\)", "extraction_type": "internal", "span_start": 637, "span_end": 658, "original_span": "\\( 78 + 32 = 110 \\)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 2218, "span_text": "\\(78 +... | [[], [], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 78 + 32 = 110 \\)", "final_answer": null}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(78 + 32 = 110\\)", "final_answer": null}], [], [], [], [], [{"is_correct": false, "error": "... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 1,
"pass_at_n": 1,
"percent_correct": 0.0625,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [78, 51], create an equation that equals 129. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 78 + 51 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [78, 51], create an equation that equals 129. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6379, \"numbers\": [78, 51], \"target\": 129, \"expression\": \"78 + 51\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6379, "numbers": [78, 51], "target": 129, "expression": "78 + 51"} | null | null | null | null | null | null | null | [
"To solve for the equation using the numbers [78, 51] which equals 129, we need to find a combination of these numbers using addition, subtraction, multiplication, and division. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We need to get 129 from the numbers 78 and 51.\n ... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
true,
true,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
null,
"\\( 78 + 51 = 129 \\)",
null,
null,
"(51 + 51) + 51 - 24",
"78 + 51 = 129",
"(78 + 51)",
null,
"\\( 51 + 78 = 129 \\)",
null,
null,
null,
"(78 + 51 * 2)",
"\\( 78 \\times 51 - 178 + 45 \\)",
"\\( 78 + 51 = 129 \\)",
null
] | [{"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1361, "span_end": 1382, "original_span": "\\( 78 + 51 = 129 \\)"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlappi... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 78 + 51 = 129 \\)", "final_answer": null}, {"evaluation_method": "response_processor", "reason": "no_ex... | [
[],
[
false
],
[],
[],
[
false
],
[
true
],
[
true
],
[],
[
false
],
[],
[],
[],
[
false
],
[
false
],
[
false
],
[]
] | [
[],
[
"\\( 78 + 51 = 129 \\)"
],
[],
[],
[
"(51 + 51) + 51 - 24"
],
[
"78 + 51 = 129"
],
[
"(78 + 51)"
],
[],
[
"\\( 51 + 78 = 129 \\)"
],
[],
[],
[],
[
"(78 + 51 * 2)"
],
[
"\\( 78 \\times 51 - 178 + 45 \\)"
],
[
"\\( 78 + 51 = 129 \\)"
],... | [[], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1361, "span_text": "\\( 78 + 51 = 129 \\)", "extraction_type": "internal", "span_start": 1361, "span_end": 1382, "original_span": "\\( 78 + 51 = 129 \\)"}], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 938, "span_text": "(51 +... | [[], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 78 + 51 = 129 \\)", "final_answer": null}], [], [], [{"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "(51 + 51) + 51 - 24", "final_answer": 129.0}], [{"is_correct": true, "error... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 2,
"pass_at_n": 1,
"percent_correct": 0.125,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [67, 71], create an equation that equals 138. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 67 + 71 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [67, 71], create an equation that equals 138. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5452, \"numbers\": [67, 71], \"target\": 138, \"expression\": \"67 + 71\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5452, "numbers": [67, 71], "target": 138, "expression": "67 + 71"} | null | null | null | null | null | null | null | [
"To solve for the target number 138 using the numbers 67 and 71, we need to combine these two numbers with basic arithmetic operations such as addition, subtraction, multiplication, and division. Here’s how we can do it:\n\n1. **Multiply the two numbers together**: \n \\[\n 67 \\times 71 = 4657\n \\]\n\n2. **... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
true,
true,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
null,
"(67 + 71)",
"67 + 71",
null,
null,
null,
null,
"Step 1: 4707 - 128 = 4579\nStep 2: 4579 + 128 = 4707",
null,
null,
null,
"None possible with the given constraints.",
null,
null,
null,
null
] | [{"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 506, "span_end": 517, "original_span": "(67 + 71)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1622, "span_end": 1631, "original_span": "67 +... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": true, "error": null, "answer_block": "(67 + 71)", "final_answer": 138.0}, {"is_correct": true, "error": null, "answer_block": "67 + 71", "final_answer": 138.0}, {"evaluation... | [
[],
[
true
],
[
true
],
[],
[],
[],
[],
[
false
],
[],
[],
[],
[
false
],
[],
[],
[],
[]
] | [
[],
[
"(67 + 71)"
],
[
"67 + 71"
],
[],
[],
[],
[],
[
"Step 1: 4707 - 128 = 4579\nStep 2: 4579 + 128 = 4707"
],
[],
[],
[],
[
"None possible with the given constraints."
],
[],
[],
[],
[]
] | [[], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 506, "span_text": "(67 + 71)", "extraction_type": "internal", "span_start": 506, "span_end": 517, "original_span": "(67 + 71)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1622, "span_text": "67 + 71", "extraction_type": "internal"... | [[], [{"is_correct": true, "error": null, "answer_block": "(67 + 71)", "final_answer": 138.0}], [{"is_correct": true, "error": null, "answer_block": "67 + 71", "final_answer": 138.0}], [], [], [], [], [{"is_correct": false, "error": "Line uses unavailable numbers: Step 1: 4707 - 128 = 4579", "answer_block": "Step 1: 47... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 2,
"pass_at_n": 1,
"percent_correct": 0.125,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [87, 71], create an equation that equals 158. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 71 + 87 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [87, 71], create an equation that equals 158. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5519, \"numbers\": [87, 71], \"target\": 158, \"expression\": \"71 + 87\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5519, "numbers": [87, 71], "target": 158, "expression": "71 + 87"} | null | null | null | null | null | null | null | [
"To solve for 158 using the numbers 87 and 71, we need to find a combination of addition, subtraction, multiplication, and division that will result in 158 when applied sequentially with these two numbers. Here’s how we can approach it:\n\n### Step-by-Step Solution\n\n1. **Start with the given numbers**: We have 87... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
null,
null,
null,
null,
null,
"\\(87 + 71 = 158\\)",
null,
"87 \\times 71 = 6047; 6047 \\div 71 = 85; 85 + 73 = 158",
null,
"\\(87 - 71 \\times \\frac{1}{1.714}\\)",
null,
"\\(87 \\times 71 - 4529 = 158\\)",
"\\(158 = 87 + 71\\)",
"\\( 87 + 71 = 158 \\)",
"\\( 87 + 71 = 158 \\)",
"\\( ... | [{"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 471, "span_end": 490, "original_span": "\\(87 + 71 = 158\\)"}, {"extractio... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no... | [
[],
[],
[],
[],
[],
[
false
],
[],
[
false
],
[],
[
false
],
[],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
]
] | [
[],
[],
[],
[],
[],
[
"\\(87 + 71 = 158\\)"
],
[],
[
"87 \\times 71 = 6047; 6047 \\div 71 = 85; 85 + 73 = 158"
],
[],
[
"\\(87 - 71 \\times \\frac{1}{1.714}\\)"
],
[],
[
"\\(87 \\times 71 - 4529 = 158\\)"
],
[
"\\(158 = 87 + 71\\)"
],
[
"\\( 87 + 71 = 158 ... | [[], [], [], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 471, "span_text": "\\(87 + 71 = 158\\)", "extraction_type": "internal", "span_start": 471, "span_end": 490, "original_span": "\\(87 + 71 = 158\\)"}], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1667, "span_text": ... | [[], [], [], [], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(87 + 71 = 158\\)", "final_answer": null}], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "87 \\times 71 = 6047; 6047 \\div 71 = 85; 85 + 73 = 158", "final_answer": null}], [],... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [50, 18], create an equation that equals 900. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 18*50 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [50, 18], create an equation that equals 900. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5446, \"numbers\": [50, 18], \"target\": 900, \"expression\": \"18*50\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5446, "numbers": [50, 18], "target": 900, "expression": "18*50"} | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 50 and 18, we need to find an equation that equals 900. Let's break down the process:\n\n1. **Identify the goal**: We need to form an equation that results in 900 using the given numbers 50 and 18 exactly once.\n \n2. **Consider possible operations**:\n - Addition (+)\n ... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"\\( 50 * 18 \\)",
null,
"Step 1: 50 \nStep 2: 50 + 450 = 500 \nStep 3: 500 - 462 = 38 \nStep 4: 38 × 24 = 912 \nStep 5: 912 ÷ 9 = 101.33 \nStep 6: 101.33 × 9 = 912 \nStep 7: 912 - 12 = 900",
null,
null,
null,
null,
null,
"\\(50 \\times 18 = 900\\)",
null,
null,
"50 * 18 - 18 / 10",
nu... | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 918, "span_end": 933, "original_span": "\\( 50 * 18 \\)"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1155, "span_end": 1322, "original_span":... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 50 * 18 \\)", "final_answer": null}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": false, "error": "Line uses unavailable numbers: Ste... | [
[
false
],
[],
[
false
],
[],
[],
[],
[],
[],
[
false
],
[],
[],
[
false
],
[],
[],
[],
[]
] | [
[
"\\( 50 * 18 \\)"
],
[],
[
"Step 1: 50 \nStep 2: 50 + 450 = 500 \nStep 3: 500 - 462 = 38 \nStep 4: 38 × 24 = 912 \nStep 5: 912 ÷ 9 = 101.33 \nStep 6: 101.33 × 9 = 912 \nStep 7: 912 - 12 = 900"
],
[],
[],
[],
[],
[],
[
"\\(50 \\times 18 = 900\\)"
],
[],
[],
[
"50 *... | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 918, "span_text": "\\( 50 * 18 \\)", "extraction_type": "internal", "span_start": 918, "span_end": 933, "original_span": "\\( 50 * 18 \\)"}], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1155, "span_text": "Step 1: 50 \nStep 2: 50 + ... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 50 * 18 \\)", "final_answer": null}], [], [{"is_correct": false, "error": "Line uses unavailable numbers: Step 2: 50 + 450 = 500 ", "answer_block": "Step 1: 50 \nStep 2: 50 + 450 = 500 \nStep 3: 500 - 462 = 38 \nStep 4: 38 \u00d7... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [33, 72], create an equation that equals 105. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 33 + 72 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [33, 72], create an equation that equals 105. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5834, \"numbers\": [33, 72], \"target\": 105, \"expression\": \"33 + 72\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5834, "numbers": [33, 72], "target": 105, "expression": "33 + 72"} | null | null | null | null | null | null | null | [
"To solve this problem using the given numbers [33, 72] and creating an equation equaling 105, we need to follow these steps:\n\n### Step-by-Step Solution\n\n1. **Identify the Target**: We need to form an equation that equals 105 using the numbers 33 and 72.\n \n2. **Consider Possible Operations**:\n - Addition... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
true
] | [
null,
null,
"Step 1: \\( 105 - 72 = 33 \\)\nStep 2: \\( 33 / 3 = 11 \\)",
null,
"No valid equation can be formed using 33 and 72 with basic arithmetic operations to sum to 105.",
"\\( 33 + 72 = 105 \\)",
"\\( 72 + 33 \\)",
"(104 + 1)",
null,
"\\(33 + 72\\)",
null,
"\\(72 + 33 = 105\\)",
null... | [{"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1300, "span_end": 1355, "original_span": "Step 1: \\( 105 - 72 = 33 \\)\nStep 2: \\( 33 / 3 = 11 \\)"}, {"extraction_type": "final"}, {"extraction_type": "final", "... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": false, "error": "Could not evaluate line: ... | [
[],
[],
[
false
],
[],
[
false
],
[
false
],
[
false
],
[
false
],
[],
[
false
],
[],
[
false
],
[],
[],
[
false
],
[
true
]
] | [
[],
[],
[
"Step 1: \\( 105 - 72 = 33 \\)\nStep 2: \\( 33 / 3 = 11 \\)"
],
[],
[
"No valid equation can be formed using 33 and 72 with basic arithmetic operations to sum to 105."
],
[
"\\( 33 + 72 = 105 \\)"
],
[
"\\( 72 + 33 \\)"
],
[
"(104 + 1)"
],
[],
[
"\\(33 +... | [[], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1300, "span_text": "Step 1: \\( 105 - 72 = 33 \\)\nStep 2: \\( 33 / 3 = 11 \\)", "extraction_type": "internal", "span_start": 1300, "span_end": 1355, "original_span": "Step 1: \\( 105 - 72 = 33 \\)\nStep 2: \\( 33 / 3 = 11 \\)"}], [], [{"pattern_us... | [[], [], [{"is_correct": false, "error": "Could not evaluate line: Step 1: \\( 105 - 72 = 33 \\)", "answer_block": "Step 1: \\( 105 - 72 = 33 \\)\nStep 2: \\( 33 / 3 = 11 \\)", "final_answer": null}], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "No valid equation can be formed u... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 1,
"pass_at_n": 1,
"percent_correct": 0.0625,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [81, 49], create an equation that equals 130. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 81 + 49 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [81, 49], create an equation that equals 130. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5914, \"numbers\": [81, 49], \"target\": 130, \"expression\": \"81 + 49\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5914, "numbers": [81, 49], "target": 130, "expression": "81 + 49"} | null | null | null | null | null | null | null | [
"To solve for the equation using the given numbers [81, 49] that equals 130, we need to strategically apply basic arithmetic operations. Here’s how we can break it down:\n\n1. **Identify the goal**: We want to get to 130 from the numbers 81 and 49.\n \n2. **Consider possible combinations**: Since we have two numb... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
true,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
null,
"\\( 81 + 49 \\)",
null,
"81 + 49 = 130",
null,
null,
"\\(81 + 49 = 130\\)",
null,
"\\( 130 - 3969 \\div 81 + 49 \\)",
"\\( 81 + 49 = 130 \\)",
null,
"\\( 81 + 49 \\)",
"\\( (81 - 49) \\times 4 + 2 \\)",
null,
null,
null
] | [{"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1222, "span_end": 1237, "original_span": "\\( 81 + 49 \\)"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 988, "sp... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 81 + 49 \\)", "final_answer": null}, {"evaluation_method": "response_processor", "reason": "no_extracte... | [
[],
[
false
],
[],
[
true
],
[],
[],
[
false
],
[],
[
false
],
[
false
],
[],
[
false
],
[
false
],
[],
[],
[]
] | [
[],
[
"\\( 81 + 49 \\)"
],
[],
[
"81 + 49 = 130"
],
[],
[],
[
"\\(81 + 49 = 130\\)"
],
[],
[
"\\( 130 - 3969 \\div 81 + 49 \\)"
],
[
"\\( 81 + 49 = 130 \\)"
],
[],
[
"\\( 81 + 49 \\)"
],
[
"\\( (81 - 49) \\times 4 + 2 \\)"
],
[],
[],
[]
] | [[], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1222, "span_text": "\\( 81 + 49 \\)", "extraction_type": "internal", "span_start": 1222, "span_end": 1237, "original_span": "\\( 81 + 49 \\)"}], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 988, "span_text": "81 + 49 = 130", "extr... | [[], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 81 + 49 \\)", "final_answer": null}], [], [{"is_correct": true, "error": null, "answer_block": "81 + 49 = 130", "final_answer": 130.0}], [], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 1,
"pass_at_n": 1,
"percent_correct": 0.0625,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [34, 69], create an equation that equals 103. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 69 + 34 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [34, 69], create an equation that equals 103. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5243, \"numbers\": [34, 69], \"target\": 103, \"expression\": \"69 + 34\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5243, "numbers": [34, 69], "target": 103, "expression": "69 + 34"} | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 34 and 69 with the goal of reaching 103, we need to find a combination of addition, subtraction, multiplication, and division that will yield the result of 103. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify Key Numbers**: We have two numbers: 34... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
true,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
null,
null,
null,
"(69 + 34)",
"\\( 34 + 69 = 103 \\)",
"\\( (69 \\times 34) - 34 + 34 = 103 \\)",
"\\(34 + 69 = 103\\)",
"\\(69 \\times 1.01 = 69.59\\), then \\(69.59 + 34 = 103.59\\)",
null,
"\\( 69 * 1 - 34 + 68 \\)",
null,
null,
null,
null,
null,
"\\( 69 \\div 6 = 11.5 \\)\n\\( 11.... | [{"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1225, "span_end": 1236, "original_span": "(69 + 34)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no... | [
[],
[],
[],
[
true
],
[
false
],
[
false
],
[
false
],
[
false
],
[],
[
false
],
[],
[],
[],
[],
[],
[
false
]
] | [
[],
[],
[],
[
"(69 + 34)"
],
[
"\\( 34 + 69 = 103 \\)"
],
[
"\\( (69 \\times 34) - 34 + 34 = 103 \\)"
],
[
"\\(34 + 69 = 103\\)"
],
[
"\\(69 \\times 1.01 = 69.59\\), then \\(69.59 + 34 = 103.59\\)"
],
[],
[
"\\( 69 * 1 - 34 + 68 \\)"
],
[],
[],
[],
[],
... | [[], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1225, "span_text": "(69 + 34)", "extraction_type": "internal", "span_start": 1225, "span_end": 1236, "original_span": "(69 + 34)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 460, "span_text": "\\( 34 + 69 = 103 \\)", "extr... | [[], [], [], [{"is_correct": true, "error": null, "answer_block": "(69 + 34)", "final_answer": 103.0}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 34 + 69 = 103 \\)", "final_answer": null}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( ... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 1,
"pass_at_n": 1,
"percent_correct": 0.0625,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [41, 59], create an equation that equals 100. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 41 + 59 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [41, 59], create an equation that equals 100. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6638, \"numbers\": [41, 59], \"target\": 100, \"expression\": \"41 + 59\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6638, "numbers": [41, 59], "target": 100, "expression": "41 + 59"} | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 41 and 59, we need to find an equation that equals 100 with these two numbers being used exactly once. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Numbers**: We have the numbers 41 and 59.\n2. **Consider Addition and Subtraction**:\n - A... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
true,
false,
false,
false,
true,
false,
false,
false,
false,
false,
false
] | [
"\\(41 \\times 59 = 2479\\)\nThen add 41 to get close to 100:\n\\(2479 + 41 = 2520\\)\nBut this isn’t correct. Instead, we need to rethink our approach.",
null,
null,
null,
null,
"(59 + 41)",
null,
null,
"\\(41 + 59 = 100\\)",
"(41 + 59)",
"(59 + 41) * 2 - 1",
null,
"\\( 41 + 59 = 100 \\)",
... | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1875, "span_end": 2020, "original_span": "\\(41 \\times 59 = 2479\\)\nThen add 41 to get close to 100:\n\\(2479 + 41 = 2520\\)\nBut this isn\u2019t correct. Instead, we need to rethink our approach."}, {"extraction_type": "f... | [{"is_correct": false, "error": "Could not evaluate line: \\(41 \\times 59 = 2479\\)", "answer_block": "\\(41 \\times 59 = 2479\\)\nThen add 41 to get close to 100:\n\\(2479 + 41 = 2520\\)\nBut this isn\u2019t correct. Instead, we need to rethink our approach.", "final_answer": null}, {"evaluation_method": "response_pr... | [
[
false
],
[],
[],
[],
[],
[
true
],
[],
[],
[
false
],
[
true
],
[
false
],
[],
[
false
],
[
false
],
[],
[
false
]
] | [
[
"\\(41 \\times 59 = 2479\\)\nThen add 41 to get close to 100:\n\\(2479 + 41 = 2520\\)\nBut this isn’t correct. Instead, we need to rethink our approach."
],
[],
[],
[],
[],
[
"(59 + 41)"
],
[],
[],
[
"\\(41 + 59 = 100\\)"
],
[
"(41 + 59)"
],
[
"(59 + 41) * 2 - 1"
... | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 1875, "span_text": "\\(41 \\times 59 = 2479\\)\nThen add 41 to get close to 100:\n\\(2479 + 41 = 2520\\)\nBut this isn\u2019t correct. Instead, we need to rethink our approach.", "extraction_type": "internal", "span_start": 1875, "span_end": 2020, "origina... | [[{"is_correct": false, "error": "Could not evaluate line: \\(41 \\times 59 = 2479\\)", "answer_block": "\\(41 \\times 59 = 2479\\)\nThen add 41 to get close to 100:\n\\(2479 + 41 = 2520\\)\nBut this isn\u2019t correct. Instead, we need to rethink our approach.", "final_answer": null}], [], [], [], [], [{"is_correct": ... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 2,
"pass_at_n": 1,
"percent_correct": 0.125,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [91, 13], create an equation that equals 104. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 91 + 13 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [91, 13], create an equation that equals 104. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5987, \"numbers\": [91, 13], \"target\": 104, \"expression\": \"91 + 13\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5987, "numbers": [91, 13], "target": 104, "expression": "91 + 13"} | null | null | null | null | null | null | null | [
"To solve the problem using the numbers [91, 13] and creating an equation that equals 104, we need to follow these steps:\n\n### Step 1: Identify the Target Number\nThe target number is given as 104.\n\n### Step 2: Consider Possible Operations\nWe have two numbers: 91 and 13. We can perform addition, subtraction, m... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"No valid equation exists using the numbers [91, 13] and basic arithmetic operations (+, -, *, /) that equals exactly 104.",
"\\(91 - 13 + 13 = 104\\)",
"\\(91 + 13\\)",
null,
null,
null,
null,
null,
"(101.6 + 2.8)",
"\\( (91 - 13) * 10 = 104 \\)",
"\\( 91 + 13 \\)",
null,
"First step: \\(91... | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1962, "span_end": 2085, "original_span": "No valid equation exists using the numbers [91, 13] and basic arithmetic operations (+, -, *, /) that equals exactly 104."}, {"extraction_type": "final", "total_spans_found": 1, "non... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "No valid equation exists using the numbers [91, 13] and basic arithmetic operations (+, -, *, /) that equals exactly 104.", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(91 - 13... | [
[
false
],
[
false
],
[
false
],
[],
[],
[],
[],
[],
[
false
],
[
false
],
[
false
],
[],
[
false
],
[],
[],
[]
] | [
[
"No valid equation exists using the numbers [91, 13] and basic arithmetic operations (+, -, *, /) that equals exactly 104."
],
[
"\\(91 - 13 + 13 = 104\\)"
],
[
"\\(91 + 13\\)"
],
[],
[],
[],
[],
[],
[
"(101.6 + 2.8)"
],
[
"\\( (91 - 13) * 10 = 104 \\)"
],
[
"... | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 1962, "span_text": "No valid equation exists using the numbers [91, 13] and basic arithmetic operations (+, -, *, /) that equals exactly 104.", "extraction_type": "internal", "span_start": 1962, "span_end": 2085, "original_span": "No valid equation exists ... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "No valid equation exists using the numbers [91, 13] and basic arithmetic operations (+, -, *, /) that equals exactly 104.", "final_answer": null}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(91 -... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [16, 20], create an equation that equals 320. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 20*16 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [16, 20], create an equation that equals 320. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6058, \"numbers\": [16, 20], \"target\": 320, \"expression\": \"20*16\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6058, "numbers": [16, 20], "target": 320, "expression": "20*16"} | null | null | null | null | null | null | null | [
"To solve for 320 using the numbers 16 and 20 with the given operations (addition, subtraction, multiplication, division), we need to find a combination of these numbers and operations that will yield the result of 320. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Multiply 16 and 20**:\n \\[... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
null,
null,
null,
"\\( 16 * 20 = 320 \\)",
"\\( 16 \\times 20 = 320 \\)",
null,
null,
"\\( 16 \\times 20 = 320 \\)",
"\\(16 \\times 20 = 320\\)",
null,
null,
null,
null,
null,
null,
null
] | [{"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 623, "span_end": 644, "original_span": "\\( 16 * 20 = 320 \\)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no... | [
[],
[],
[],
[
false
],
[
false
],
[],
[],
[
false
],
[
false
],
[],
[],
[],
[],
[],
[],
[]
] | [
[],
[],
[],
[
"\\( 16 * 20 = 320 \\)"
],
[
"\\( 16 \\times 20 = 320 \\)"
],
[],
[],
[
"\\( 16 \\times 20 = 320 \\)"
],
[
"\\(16 \\times 20 = 320\\)"
],
[],
[],
[],
[],
[],
[],
[]
] | [[], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 623, "span_text": "\\( 16 * 20 = 320 \\)", "extraction_type": "internal", "span_start": 623, "span_end": 644, "original_span": "\\( 16 * 20 = 320 \\)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 787, "span_text": "\\( 16 \... | [[], [], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 16 * 20 = 320 \\)", "final_answer": null}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 16 \\times 20 = 320 \\)", "final_answer": null}], [], [], [{"is_correct": false, "error": "... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [11, 38], create an equation that equals 418. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 38*11 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [11, 38], create an equation that equals 418. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5589, \"numbers\": [11, 38], \"target\": 418, \"expression\": \"38*11\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5589, "numbers": [11, 38], "target": 418, "expression": "38*11"} | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 11 and 38 with the given operations (addition, subtraction, multiplication, division), we need to find a combination that results in the target number 418. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Multiply 11 and 38**:\n \\[\n 11 \\times 38 = 41... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
true,
false,
false,
false,
false
] | [
null,
"\\( 38 \\times 11 = 418 \\)",
"\\( 11 \\times 38 = 418 \\)",
null,
null,
null,
"\\(11 \\times 11 + 38\\)",
"((11 + 38) * 8) + 26 = 418",
null,
"\\( (11 + 38) * 8 - 20 \\)",
"\\( 38 \\times 11 = 418 \\)",
"(11 * 38)",
"\\(38 \\times 11 = 418\\)",
null,
"\\( 38 \\times 11 = 418 \\)"... | [{"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1484, "span_end": 1510, "original_span": "\\( 38 \\times 11 = 418 \\)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 891, "span_end": 917, "ori... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 38 \\times 11 = 418 \\)", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate exp... | [
[],
[
false
],
[
false
],
[],
[],
[],
[
false
],
[
false
],
[],
[
false
],
[
false
],
[
true
],
[
false
],
[],
[
false
],
[
false
]
] | [
[],
[
"\\( 38 \\times 11 = 418 \\)"
],
[
"\\( 11 \\times 38 = 418 \\)"
],
[],
[],
[],
[
"\\(11 \\times 11 + 38\\)"
],
[
"((11 + 38) * 8) + 26 = 418"
],
[],
[
"\\( (11 + 38) * 8 - 20 \\)"
],
[
"\\( 38 \\times 11 = 418 \\)"
],
[
"(11 * 38)"
],
[
"\... | [[], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1484, "span_text": "\\( 38 \\times 11 = 418 \\)", "extraction_type": "internal", "span_start": 1484, "span_end": 1510, "original_span": "\\( 38 \\times 11 = 418 \\)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 891, "span_text": "\... | [[], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 38 \\times 11 = 418 \\)", "final_answer": null}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 11 \\times 38 = 418 \\)", "final_answer": null}], [], [], [], [{"is_correct": false, "error":... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 1,
"pass_at_n": 1,
"percent_correct": 0.0625,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [95, 38], create an equation that equals 133. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 38 + 95 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [95, 38], create an equation that equals 133. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5543, \"numbers\": [95, 38], \"target\": 133, \"expression\": \"38 + 95\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5543, "numbers": [95, 38], "target": 133, "expression": "38 + 95"} | null | null | null | null | null | null | null | [
"To solve the problem using the numbers [95, 38] and creating an equation that equals 133, we need to follow these steps:\n\n1. **Identify the goal**: We want to form the equation such that when we apply the given numbers (95 and 38) through basic arithmetic operations (+, -, *, /), the result is exactly 133.\n \... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
true,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
true
] | [
"(95 + 38)",
null,
"\\( 95 + 38 = 133 \\)",
"\\(95 + 38 = 133\\)",
null,
null,
"\\( 95 + 38 = 133 \\)",
null,
"(95 + 38 - 130)",
"\\(95 + 38\\)",
null,
null,
null,
"\\(95 + 38\\)",
"(95 * 3) + 8",
"(95 + 38)"
] | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1561, "span_end": 1572, "original_span": "(95 + 38)"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 705, "span_end": 726, "original_span": "\\( ... | [{"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 95 + 38 = 133 ... | [
[
true
],
[],
[
false
],
[
false
],
[],
[],
[
false
],
[],
[
false
],
[
false
],
[],
[],
[],
[
false
],
[
false
],
[
true
]
] | [
[
"(95 + 38)"
],
[],
[
"\\( 95 + 38 = 133 \\)"
],
[
"\\(95 + 38 = 133\\)"
],
[],
[],
[
"\\( 95 + 38 = 133 \\)"
],
[],
[
"(95 + 38 - 130)"
],
[
"\\(95 + 38\\)"
],
[],
[],
[],
[
"\\(95 + 38\\)"
],
[
"(95 * 3) + 8"
],
[
"(95 + 38)"
]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 1561, "span_text": "(95 + 38)", "extraction_type": "internal", "span_start": 1561, "span_end": 1572, "original_span": "(95 + 38)"}], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 705, "span_text": "\\( 95 + 38 = 133 \\)", "extraction_t... | [[{"is_correct": true, "error": null, "answer_block": "(95 + 38)", "final_answer": 133.0}], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 95 + 38 = 133 \\)", "final_answer": null}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(95 + 38 =... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 2,
"pass_at_n": 1,
"percent_correct": 0.125,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [66, 62], create an equation that equals 128. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 66 + 62 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [66, 62], create an equation that equals 128. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6078, \"numbers\": [66, 62], \"target\": 128, \"expression\": \"66 + 62\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6078, "numbers": [66, 62], "target": 128, "expression": "66 + 62"} | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 66 and 62, we need to find a way to combine them using addition, subtraction, multiplication, and division to get exactly 128. Let's break it down into steps:\n\n### Step-by-Step Solution\n\n1. **Multiply the two numbers**: \n \\[\n 66 \\times 62 = 4052\n \\]\n This ... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
true,
false,
false,
true,
false,
false,
false,
false,
false,
false,
false
] | [
"((66 + 1) * (62 + 1)) = 1408",
"\\(66 + 62 = 128\\)",
"\\(66 + 62 = 128\\)",
"\\(66 + 62 = 128\\)",
"\\( 66 + 62 = 128 \\)",
"(66 + 62) = 128",
"\\( 66 + 62 = 128 \\)",
null,
"(66 + 62)",
"\\( 66 + 62 = 128 \\)",
null,
"\\(66 \\times 62 - 128\\)",
null,
"\\(66 - 62 + 32 + 92\\)",
"\\(66... | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1557, "span_end": 1587, "original_span": "((66 + 1) * (62 + 1)) = 1408"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 767, "span_end": 786, "original_span": "\\(66 + 62 = 12... | [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "((66 + 1) * (62 + 1)) = 1408", "final_answer": 1408.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(66 + 62 = 128\\)", "final_answer": null}, {"is_correct": false, "error": "Could not eval... | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
true
],
[
false
],
[],
[
true
],
[
false
],
[],
[
false
],
[],
[
false
],
[
false
],
[
false
]
] | [
[
"((66 + 1) * (62 + 1)) = 1408"
],
[
"\\(66 + 62 = 128\\)"
],
[
"\\(66 + 62 = 128\\)"
],
[
"\\(66 + 62 = 128\\)"
],
[
"\\( 66 + 62 = 128 \\)"
],
[
"(66 + 62) = 128"
],
[
"\\( 66 + 62 = 128 \\)"
],
[],
[
"(66 + 62)"
],
[
"\\( 66 + 62 = 128 \\)"
... | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 1557, "span_text": "((66 + 1) * (62 + 1)) = 1408", "extraction_type": "internal", "span_start": 1557, "span_end": 1587, "original_span": "((66 + 1) * (62 + 1)) = 1408"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 767, "span_text": "\\(... | [[{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "((66 + 1) * (62 + 1)) = 1408", "final_answer": 1408.0}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(66 + 62 = 128\\)", "final_answer": null}], [{"is_correct": false, "error": "Could not... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 2,
"pass_at_n": 1,
"percent_correct": 0.125,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [18, 29], create an equation that equals 522. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 29*18 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [18, 29], create an equation that equals 522. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6139, \"numbers\": [18, 29], \"target\": 522, \"expression\": \"29*18\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6139, "numbers": [18, 29], "target": 522, "expression": "29*18"} | null | null | null | null | null | null | null | [
"To solve for the equation using the numbers 18 and 29 that equals 522, we need to consider various combinations of addition, subtraction, multiplication, and division while ensuring each number is used exactly once.\n\n### Step-by-Step Solution:\n\n1. **Start with the first number (18):**\n - We can start by add... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"\\(18 + 29 + 52 = 522\\)",
null,
"\\( 18 \\times 29 = 522 \\)",
null,
null,
null,
null,
null,
null,
null,
"Multiply 18 and 29",
"\\(47 \\times 10 - 18 + 70\\)",
null,
"Step 1: 29 - 18 = 11\nStep 2: 11 * 29 = 319\nStep 3: 319 + 18 = 337\nStep 4: 337 + 29 = 366\nStep 5: 366 + 29 = 395\nStep... | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1069, "span_end": 1093, "original_span": "\\(18 + 29 + 52 = 522\\)"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 705, "span_end": 731, "origin... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(18 + 29 + 52 = 522\\)", "final_answer": null}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": false, "error": "Could not evaluate expres... | [
[
false
],
[],
[
false
],
[],
[],
[],
[],
[],
[],
[],
[
false
],
[
false
],
[],
[
false
],
[],
[]
] | [
[
"\\(18 + 29 + 52 = 522\\)"
],
[],
[
"\\( 18 \\times 29 = 522 \\)"
],
[],
[],
[],
[],
[],
[],
[],
[
"Multiply 18 and 29"
],
[
"\\(47 \\times 10 - 18 + 70\\)"
],
[],
[
"Step 1: 29 - 18 = 11\nStep 2: 11 * 29 = 319\nStep 3: 319 + 18 = 337\nStep 4: 337 + 29 = 366\n... | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 1069, "span_text": "\\(18 + 29 + 52 = 522\\)", "extraction_type": "internal", "span_start": 1069, "span_end": 1093, "original_span": "\\(18 + 29 + 52 = 522\\)"}], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 705, "span_text": "\\( 18 ... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(18 + 29 + 52 = 522\\)", "final_answer": null}], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 18 \\times 29 = 522 \\)", "final_answer": null}], [], [], [], [], [], [], [], [{"is_correct": fa... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [37, 11], create an equation that equals 407. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 37*11 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [37, 11], create an equation that equals 407. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6649, \"numbers\": [37, 11], \"target\": 407, \"expression\": \"37*11\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6649, "numbers": [37, 11], "target": 407, "expression": "37*11"} | null | null | null | null | null | null | null | [
"To solve for the number 407 using the given numbers 37 and 11, we need to find a combination of these numbers that will result in 407 when combined through basic arithmetic operations (addition, subtraction, multiplication, division).\n\n### Step-by-Step Solution:\n\n1. **Identify the Numbers**: We have two number... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"\\(37 \\times 11 = 407\\)",
null,
"\\(37 \\times 11 = 407\\)",
"\\( 37 \\times 11 = 407 \\)",
null,
null,
null,
null,
"\\(37 \\times 11\\)",
"\\(37 \\times 11 = 407\\)",
null,
"Step 1: 37 + 11 = 48\nStep 2: 48 + 11 = 69\nStep 3: 69 + 11 = 407",
null,
null,
null,
"\\(37 \\times 11\\)"
... | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 923, "span_end": 947, "original_span": "\\(37 \\times 11 = 407\\)"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1196, "span_end": 1220, "origi... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(37 \\times 11 = 407\\)", "final_answer": null}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": false, "error": "Could not evaluate expre... | [
[
false
],
[],
[
false
],
[
false
],
[],
[],
[],
[],
[
false
],
[
false
],
[],
[
false
],
[],
[],
[],
[
false
]
] | [
[
"\\(37 \\times 11 = 407\\)"
],
[],
[
"\\(37 \\times 11 = 407\\)"
],
[
"\\( 37 \\times 11 = 407 \\)"
],
[],
[],
[],
[],
[
"\\(37 \\times 11\\)"
],
[
"\\(37 \\times 11 = 407\\)"
],
[],
[
"Step 1: 37 + 11 = 48\nStep 2: 48 + 11 = 69\nStep 3: 69 + 11 = 407"
],
... | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 923, "span_text": "\\(37 \\times 11 = 407\\)", "extraction_type": "internal", "span_start": 923, "span_end": 947, "original_span": "\\(37 \\times 11 = 407\\)"}], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1196, "span_text": "\\(37 \... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(37 \\times 11 = 407\\)", "final_answer": null}], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(37 \\times 11 = 407\\)", "final_answer": null}], [{"is_correct": false, "error": "Could not eval... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [17, 21], create an equation that equals 357. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 21*17 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [17, 21], create an equation that equals 357. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5894, \"numbers\": [17, 21], \"target\": 357, \"expression\": \"21*17\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5894, "numbers": [17, 21], "target": 357, "expression": "21*17"} | null | null | null | null | null | null | null | [
"To solve for the equation using the numbers 17 and 21 which equals 357, we need to consider different combinations of addition, subtraction, multiplication, and division. Let's break down the process:\n\n### Step-by-Step Solution\n\n#### Step 1: Multiply 17 and 21\nFirst, let's multiply these two numbers together:... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
null,
"No valid equation exists with the given numbers [17, 21] using basic arithmetic operations that sums to 357.",
null,
"\\(21 \\times 17 = 357\\)",
null,
null,
"\\(17 \\times 21 = 357\\)",
"\\( ((17 + 21) \\times 9) + 15 \\)",
null,
null,
null,
null,
null,
null,
null,
null
] | [{"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 2202, "span_end": 2312, "original_span": "No valid equation exists with the given numbers [17, 21] using basic arithmetic operations that sums to 357."}, {"extraction_type": "final"}, {"extracti... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "No valid equation exists with the given numbers [17, 21] using basic arithmetic operations that sums to 357... | [
[],
[
false
],
[],
[
false
],
[],
[],
[
false
],
[
false
],
[],
[],
[],
[],
[],
[],
[],
[]
] | [
[],
[
"No valid equation exists with the given numbers [17, 21] using basic arithmetic operations that sums to 357."
],
[],
[
"\\(21 \\times 17 = 357\\)"
],
[],
[],
[
"\\(17 \\times 21 = 357\\)"
],
[
"\\( ((17 + 21) \\times 9) + 15 \\)"
],
[],
[],
[],
[],
[],
[],
... | [[], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 2202, "span_text": "No valid equation exists with the given numbers [17, 21] using basic arithmetic operations that sums to 357.", "extraction_type": "internal", "span_start": 2202, "span_end": 2312, "original_span": "No valid equation exists with the ... | [[], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "No valid equation exists with the given numbers [17, 21] using basic arithmetic operations that sums to 357.", "final_answer": null}], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(21 \\time... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [94, 10], create an equation that equals 940. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 94*10 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [94, 10], create an equation that equals 940. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5008, \"numbers\": [94, 10], \"target\": 940, \"expression\": \"94*10\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5008, "numbers": [94, 10], "target": 940, "expression": "94*10"} | null | null | null | null | null | null | null | [
"To solve the problem of creating an equation using the numbers [94, 10] that equals 940, we need to strategically combine these numbers with basic arithmetic operations. Let's break down the process:\n\n### Step-by-Step Reasoning\n\n1. **Identify the Target**: The target number is 940.\n2. **Consider Multiplicatio... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"\\( (10 \\times 94) \\)",
null,
"Step 1: 94 * 10 = 940\nStep 2: 940 + 0 = 940",
null,
null,
null,
"\\( 94 \\times 10 \\)",
null,
null,
null,
null,
null,
null,
null,
null,
null
] | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 767, "span_end": 789, "original_span": "\\( (10 \\times 94) \\)"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 690, "span_end": 735, "original_... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (10 \\times 94) \\)", "final_answer": null}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": false, "error": "Line uses unavailable numb... | [
[
false
],
[],
[
false
],
[],
[],
[],
[
false
],
[],
[],
[],
[],
[],
[],
[],
[],
[]
] | [
[
"\\( (10 \\times 94) \\)"
],
[],
[
"Step 1: 94 * 10 = 940\nStep 2: 940 + 0 = 940"
],
[],
[],
[],
[
"\\( 94 \\times 10 \\)"
],
[],
[],
[],
[],
[],
[],
[],
[],
[]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 767, "span_text": "\\( (10 \\times 94) \\)", "extraction_type": "internal", "span_start": 767, "span_end": 789, "original_span": "\\( (10 \\times 94) \\)"}], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 690, "span_text": "Step 1: 94 *... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (10 \\times 94) \\)", "final_answer": null}], [], [{"is_correct": false, "error": "Line uses unavailable numbers: Step 2: 940 + 0 = 940", "answer_block": "Step 1: 94 * 10 = 940\nStep 2: 940 + 0 = 940", "final_answer": 940.0}], [], []... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [65, 60], create an equation that equals 125. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 60 + 65 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [65, 60], create an equation that equals 125. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5521, \"numbers\": [65, 60], \"target\": 125, \"expression\": \"60 + 65\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5521, "numbers": [65, 60], "target": 125, "expression": "60 + 65"} | null | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers 65 and 60 from the given list to create an equation that equals 125 using basic arithmetic operations (addition, subtraction, multiplication, division). Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Multiply the two numbers**: \n \\[\n 65 \... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
true,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
null,
null,
"(65 + 60)",
null,
null,
null,
"(65 ÷ 5 × 2) + 5 - 10",
null,
"\\( 65 + 60 = 125 \\)",
null,
null,
null,
null,
"(65 * 5) + 60 - 125",
"\\(65 + 60 = 125\\)",
null
] | [{"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 746, "span_end": 757, "original_span": "(65 + 60)"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": true, "error": null, "answer_block": "(65 ... | [
[],
[],
[
true
],
[],
[],
[],
[
false
],
[],
[
false
],
[],
[],
[],
[],
[
false
],
[
false
],
[]
] | [
[],
[],
[
"(65 + 60)"
],
[],
[],
[],
[
"(65 ÷ 5 × 2) + 5 - 10"
],
[],
[
"\\( 65 + 60 = 125 \\)"
],
[],
[],
[],
[],
[
"(65 * 5) + 60 - 125"
],
[
"\\(65 + 60 = 125\\)"
],
[]
] | [[], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 746, "span_text": "(65 + 60)", "extraction_type": "internal", "span_start": 746, "span_end": 757, "original_span": "(65 + 60)"}], [], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 2059, "span_text": "(65 \u00f7 5 \u00d7 2) ... | [[], [], [{"is_correct": true, "error": null, "answer_block": "(65 + 60)", "final_answer": 125.0}], [], [], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "(65 \u00f7 5 \u00d7 2) + 5 - 10", "final_answer": null}], [], [{"is_correct": false, "error": "Could not evaluate expression",... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 1,
"pass_at_n": 1,
"percent_correct": 0.0625,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [89, 19], create an equation that equals 108. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 19 + 89 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [89, 19], create an equation that equals 108. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6626, \"numbers\": [89, 19], \"target\": 108, \"expression\": \"19 + 89\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6626, "numbers": [89, 19], "target": 108, "expression": "19 + 89"} | null | null | null | null | null | null | null | [
"To solve for 108 using the numbers 89 and 19 with basic arithmetic operations, we need to strategically combine these two numbers to achieve the target sum of 108. Here’s how we can do it:\n\n1. **Start with the largest number (89)**.\n2. **Add 19** to get close to 108 without exceeding it.\n3. **Subtract 7** from... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
true,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
true
] | [
"Step 1: 89 + 19 = 108",
null,
null,
"\\( 89 + 19 = 108 \\)",
null,
"\\( (89 + 19) \\times 5 \\)",
null,
null,
null,
"\\( 19 \\times 5 + 13 = 108 \\)",
"\\(89 + 19 = 108\\)",
"(89 * 19) / 16 + 2.9375",
"\\[\n\\left(\\frac{89}{19}\\right) \\times 24 \\approx 108\n\\]",
null,
null,
"(89 ... | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1054, "span_end": 1077, "original_span": "Step 1: 89 + 19 = 108"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 13... | [{"is_correct": true, "error": null, "answer_block": "Step 1: 89 + 19 = 108", "final_answer": 108.0}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extractio... | [
[
true
],
[],
[],
[
false
],
[],
[
false
],
[],
[],
[],
[
false
],
[
false
],
[
false
],
[
false
],
[],
[],
[
true
]
] | [
[
"Step 1: 89 + 19 = 108"
],
[],
[],
[
"\\( 89 + 19 = 108 \\)"
],
[],
[
"\\( (89 + 19) \\times 5 \\)"
],
[],
[],
[],
[
"\\( 19 \\times 5 + 13 = 108 \\)"
],
[
"\\(89 + 19 = 108\\)"
],
[
"(89 * 19) / 16 + 2.9375"
],
[
"\\[\n\\left(\\frac{89}{19}\\right) ... | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 1054, "span_text": "Step 1: 89 + 19 = 108", "extraction_type": "internal", "span_start": 1054, "span_end": 1077, "original_span": "Step 1: 89 + 19 = 108"}], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1322, "span_text": "\\( 89 +... | [[{"is_correct": true, "error": null, "answer_block": "Step 1: 89 + 19 = 108", "final_answer": 108.0}], [], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 89 + 19 = 108 \\)", "final_answer": null}], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_b... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 2,
"pass_at_n": 1,
"percent_correct": 0.125,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [52, 79], create an equation that equals 131. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 52 + 79 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [52, 79], create an equation that equals 131. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5777, \"numbers\": [52, 79], \"target\": 131, \"expression\": \"52 + 79\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5777, "numbers": [52, 79], "target": 131, "expression": "52 + 79"} | null | null | null | null | null | null | null | [
"To solve this problem using the numbers [52, 79] and creating an equation that equals 131 with basic arithmetic operations (addition, subtraction, multiplication, division), we need to find a combination of these numbers that will result in 131 when combined through the allowed operations. Let's break down the pro... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"\\(52 - 1 + 79 = 131\\)",
"\\(79 + 52 = 131\\)",
"\\( 52 + 79 = 131 \\)",
"\\( (52 \\times 79) - 40 = 4128 \\), then \\( 4128 / 32 = 131 \\)",
"\\( 52 \\times 79 - 1 \\div 3 \\)",
null,
null,
"\\( 52 + 79 = 131 \\)",
null,
"\\(131\\)",
"\\(52 + 79 = 131\\)",
null,
"\\( 52 + 79 = 131 \\)",
... | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 2122, "span_end": 2145, "original_span": "\\(52 - 1 + 79 = 131\\)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 507, "span_end": 526, "original_span": "\\(79 + 52 = 131\\)"... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(52 - 1 + 79 = 131\\)", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(79 + 52 = 131\\)", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression",... | [
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[],
[],
[
false
],
[],
[
false
],
[
false
],
[],
[
false
],
[],
[
false
],
[
false
]
] | [
[
"\\(52 - 1 + 79 = 131\\)"
],
[
"\\(79 + 52 = 131\\)"
],
[
"\\( 52 + 79 = 131 \\)"
],
[
"\\( (52 \\times 79) - 40 = 4128 \\), then \\( 4128 / 32 = 131 \\)"
],
[
"\\( 52 \\times 79 - 1 \\div 3 \\)"
],
[],
[],
[
"\\( 52 + 79 = 131 \\)"
],
[],
[
"\\(131\\)"
... | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 2122, "span_text": "\\(52 - 1 + 79 = 131\\)", "extraction_type": "internal", "span_start": 2122, "span_end": 2145, "original_span": "\\(52 - 1 + 79 = 131\\)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 507, "span_text": "\\(79 + 52 = ... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(52 - 1 + 79 = 131\\)", "final_answer": null}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(79 + 52 = 131\\)", "final_answer": null}], [{"is_correct": false, "error": "Could not evaluate express... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [93, 66], create an equation that equals 159. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 66 + 93 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [93, 66], create an equation that equals 159. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6011, \"numbers\": [93, 66], \"target\": 159, \"expression\": \"66 + 93\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6011, "numbers": [93, 66], "target": 159, "expression": "66 + 93"} | null | null | null | null | null | null | null | [
"To solve for the equation using the numbers 93 and 66 that equals 159, we need to carefully consider how these numbers interact with each other through addition, subtraction, multiplication, and division. Here’s a detailed breakdown:\n\n1. **Identify potential combinations**: We have two numbers: 93 and 66.\n - ... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
true,
false,
false,
false
] | [
"\\(93 + 66 = 159\\)",
null,
"\\(93 + 66\\)",
"\\( 93 + 66 = 159 \\)",
null,
null,
"\\(93 + 66 = 159\\)",
null,
null,
"\\( (93 + 66) \\)",
null,
null,
"(93 + 66)",
null,
"\\( 93 * 66 + 1519 - 4559 \\div 66 = 159 \\)",
null
] | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 763, "span_end": 782, "original_span": "\\(93 + 66 = 159\\)"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 965, "span_end": 978, "original_span... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(93 + 66 = 159\\)", "final_answer": null}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": false, "error": "Could not evaluate expression"... | [
[
false
],
[],
[
false
],
[
false
],
[],
[],
[
false
],
[],
[],
[
false
],
[],
[],
[
true
],
[],
[
false
],
[]
] | [
[
"\\(93 + 66 = 159\\)"
],
[],
[
"\\(93 + 66\\)"
],
[
"\\( 93 + 66 = 159 \\)"
],
[],
[],
[
"\\(93 + 66 = 159\\)"
],
[],
[],
[
"\\( (93 + 66) \\)"
],
[],
[],
[
"(93 + 66)"
],
[],
[
"\\( 93 * 66 + 1519 - 4559 \\div 66 = 159 \\)"
],
[]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 763, "span_text": "\\(93 + 66 = 159\\)", "extraction_type": "internal", "span_start": 763, "span_end": 782, "original_span": "\\(93 + 66 = 159\\)"}], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 965, "span_text": "\\(93 + 66\\)", "ext... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(93 + 66 = 159\\)", "final_answer": null}], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(93 + 66\\)", "final_answer": null}], [{"is_correct": false, "error": "Could not evaluate expression", ... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 1,
"pass_at_n": 1,
"percent_correct": 0.0625,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [89, 87], create an equation that equals 176. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 87 + 89 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [89, 87], create an equation that equals 176. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5152, \"numbers\": [89, 87], \"target\": 176, \"expression\": \"87 + 89\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5152, "numbers": [89, 87], "target": 176, "expression": "87 + 89"} | null | null | null | null | null | null | null | [
"To solve this problem, we need to find a combination of the given numbers [89, 87] using basic arithmetic operations to get the result of 176. We will follow these steps:\n\n### Step-by-Step Solution\n\n1. **Identify the numbers**: The numbers available are 89 and 87.\n2. **Consider possible combinations**:\n - ... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"\\( (89 \\times 87) + 3 = 176 \\)",
"\\( 87 \\times 2 + 89 = 176 \\)",
"\\(89 + 87 = 176\\)",
null,
"\\(89 + 87\\)",
"\\( (89 - 87) \\times 87 + 2 \\)",
"\\( 89 + 87 = 176 \\)",
null,
null,
null,
null,
null,
null,
null,
null,
null
] | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1786, "span_end": 1818, "original_span": "\\( (89 \\times 87) + 3 = 176 \\)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1690, "span_end": 1720, "original_span": "\\( 87 \... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (89 \\times 87) + 3 = 176 \\)", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 87 \\times 2 + 89 = 176 \\)", "final_answer": null}, {"is_correct": false, "error": "Could not... | [
[
false
],
[
false
],
[
false
],
[],
[
false
],
[
false
],
[
false
],
[],
[],
[],
[],
[],
[],
[],
[],
[]
] | [
[
"\\( (89 \\times 87) + 3 = 176 \\)"
],
[
"\\( 87 \\times 2 + 89 = 176 \\)"
],
[
"\\(89 + 87 = 176\\)"
],
[],
[
"\\(89 + 87\\)"
],
[
"\\( (89 - 87) \\times 87 + 2 \\)"
],
[
"\\( 89 + 87 = 176 \\)"
],
[],
[],
[],
[],
[],
[],
[],
[],
[]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 1786, "span_text": "\\( (89 \\times 87) + 3 = 176 \\)", "extraction_type": "internal", "span_start": 1786, "span_end": 1818, "original_span": "\\( (89 \\times 87) + 3 = 176 \\)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1690, "span_... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (89 \\times 87) + 3 = 176 \\)", "final_answer": null}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 87 \\times 2 + 89 = 176 \\)", "final_answer": null}], [{"is_correct": false, "error": "Coul... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [73, 62], create an equation that equals 135. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 62 + 73 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [73, 62], create an equation that equals 135. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6128, \"numbers\": [73, 62], \"target\": 135, \"expression\": \"62 + 73\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6128, "numbers": [73, 62], "target": 135, "expression": "62 + 73"} | null | null | null | null | null | null | null | [
"To solve the problem using the given numbers [73, 62], we need to form an equation that equals 135. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Numbers**: We have two numbers: 73 and 62.\n \n2. **Find Combinations**:\n - One possible combination is adding these two numbers t... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
true,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
null,
null,
"\\( \\frac{73 \\times 62 + 89 - 116}{3} \\)",
"\\( (73 - 62) \\times 10 + 5 \\)",
"(73 + 62) = 135",
null,
"\\( 73 + 62 \\)",
null,
null,
"((73 - 62) * 62) = 135",
"\\( (73 - 62) * 62 = 135 \\)",
null,
"\\(73 + 62 = 135\\)",
"\\( 73 + 62 \\)",
null,
"\\( 73 + 62 = 135 \\)"... | [{"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 695, "span_end": 736, "original_span": "\\( \\frac{73 \\times 62 + 89 - 116}{3} \\)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans":... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": false, "error": "Could not evaluate expres... | [
[],
[],
[
false
],
[
false
],
[
true
],
[],
[
false
],
[],
[],
[
false
],
[
false
],
[],
[
false
],
[
false
],
[],
[
false
]
] | [
[],
[],
[
"\\( \\frac{73 \\times 62 + 89 - 116}{3} \\)"
],
[
"\\( (73 - 62) \\times 10 + 5 \\)"
],
[
"(73 + 62) = 135"
],
[],
[
"\\( 73 + 62 \\)"
],
[],
[],
[
"((73 - 62) * 62) = 135"
],
[
"\\( (73 - 62) * 62 = 135 \\)"
],
[],
[
"\\(73 + 62 = 135\\)"
... | [[], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 695, "span_text": "\\( \\frac{73 \\times 62 + 89 - 116}{3} \\)", "extraction_type": "internal", "span_start": 695, "span_end": 736, "original_span": "\\( \\frac{73 \\times 62 + 89 - 116}{3} \\)"}], [{"pattern_used": "answer tag", "confidence": 1.0,... | [[], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( \\frac{73 \\times 62 + 89 - 116}{3} \\)", "final_answer": null}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (73 - 62) \\times 10 + 5 \\)", "final_answer": null}], [{"is_correct": tr... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 1,
"pass_at_n": 1,
"percent_correct": 0.0625,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [17, 20], create an equation that equals 340. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 20*17 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [17, 20], create an equation that equals 340. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5938, \"numbers\": [17, 20], \"target\": 340, \"expression\": \"20*17\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5938, "numbers": [17, 20], "target": 340, "expression": "20*17"} | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 17 and 20, we need to find an equation that equals 340. We can use basic arithmetic operations such as addition, subtraction, multiplication, and division.\n\n### Step-by-Step Solution:\n\n1. **Multiply 17 and 20**:\n \\[\n 17 \\times 20 = 340\n \\]\n\nThis directly gi... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"\\( 17 \\times 20 = 340 \\)",
null,
null,
null,
null,
null,
null,
null,
"\\( 17 \\times 20 = 340 \\)",
"\\( 20 \\times 17 = 340 \\)",
"\\( (17 + 20) * 20 + 60 \\)",
null,
"\\( 20 \\times (17 - 2) = 340 \\)",
"\\( 17 \\times 20 \\)",
"\\(17 \\times 20 = 340\\)",
null
] | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 468, "span_end": 494, "original_span": "\\( 17 \\times 20 = 340 \\)"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"e... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 17 \\times 20 = 340 \\)", "final_answer": null}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": ... | [
[
false
],
[],
[],
[],
[],
[],
[],
[],
[
false
],
[
false
],
[
false
],
[],
[
false
],
[
false
],
[
false
],
[]
] | [
[
"\\( 17 \\times 20 = 340 \\)"
],
[],
[],
[],
[],
[],
[],
[],
[
"\\( 17 \\times 20 = 340 \\)"
],
[
"\\( 20 \\times 17 = 340 \\)"
],
[
"\\( (17 + 20) * 20 + 60 \\)"
],
[],
[
"\\( 20 \\times (17 - 2) = 340 \\)"
],
[
"\\( 17 \\times 20 \\)"
],
[
"\\(... | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 468, "span_text": "\\( 17 \\times 20 = 340 \\)", "extraction_type": "internal", "span_start": 468, "span_end": 494, "original_span": "\\( 17 \\times 20 = 340 \\)"}], [], [], [], [], [], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position":... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 17 \\times 20 = 340 \\)", "final_answer": null}], [], [], [], [], [], [], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 17 \\times 20 = 340 \\)", "final_answer": null}], [{"is_correct": fal... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [14, 96], create an equation that equals 110. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 14 + 96 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [14, 96], create an equation that equals 110. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5073, \"numbers\": [14, 96], \"target\": 110, \"expression\": \"14 + 96\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5073, "numbers": [14, 96], "target": 110, "expression": "14 + 96"} | null | null | null | null | null | null | null | [
"To solve for the equation using the numbers 14 and 96 that equals 110, we need to find a combination of addition, subtraction, multiplication, and division that will result in 110 when applied to these two numbers.\n\nFirst, let's consider possible combinations:\n\n1. **Multiplication** seems promising because mul... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
null,
null,
"\\( 14 + 96 = 110 \\)",
null,
"\\( (96 - 14) * 10 = 110 \\)",
"\\( 14 \\times 96 + 28 \\)",
null,
"\\( 96 + 14 = 110 \\)",
null,
null,
"\\(14 + 96 = 110\\)",
"\\( 14 \\times 96 - 26 - 110 \\)",
"\\(14 \\times 14 - 86 = 110\\)",
"\\( 14 \\times 7 = 98 \\) and \\( 14 + 22 = 36 \... | [{"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 629, "span_end": 650, "original_span": "\\( 14 + 96 = 110 \\)"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": false, "error": "Could not evaluate expres... | [
[],
[],
[
false
],
[],
[
false
],
[
false
],
[],
[
false
],
[],
[],
[
false
],
[
false
],
[
false
],
[
false
],
[],
[]
] | [
[],
[],
[
"\\( 14 + 96 = 110 \\)"
],
[],
[
"\\( (96 - 14) * 10 = 110 \\)"
],
[
"\\( 14 \\times 96 + 28 \\)"
],
[],
[
"\\( 96 + 14 = 110 \\)"
],
[],
[],
[
"\\(14 + 96 = 110\\)"
],
[
"\\( 14 \\times 96 - 26 - 110 \\)"
],
[
"\\(14 \\times 14 - 86 = 110\\)... | [[], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 629, "span_text": "\\( 14 + 96 = 110 \\)", "extraction_type": "internal", "span_start": 629, "span_end": 650, "original_span": "\\( 14 + 96 = 110 \\)"}], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1268, "span_text": "\\( (96... | [[], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 14 + 96 = 110 \\)", "final_answer": null}], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (96 - 14) * 10 = 110 \\)", "final_answer": null}], [{"is_correct": false, "error": "Could n... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [65, 52], create an equation that equals 117. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 65 + 52 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [65, 52], create an equation that equals 117. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6455, \"numbers\": [65, 52], \"target\": 117, \"expression\": \"65 + 52\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6455, "numbers": [65, 52], "target": 117, "expression": "65 + 52"} | null | null | null | null | null | null | null | [
"To solve for 117 using the numbers 65 and 52, we need to combine these two numbers with some arithmetic operations. Let's break down the process:\n\n### Step-by-Step Solution\n\n**Step 1:** We start with the numbers 65 and 52.\n- First, let’s consider adding them together because addition often yields a larger res... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
true,
false,
false,
true,
false,
false,
false,
true,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"65 + 52 = 117",
"\\( 65 + 52 = 117 \\)",
"\\(65 * 52 - 3263 = 117\\)",
"Step 1: 65 + 52 = 117",
"\\( 65 + 52 \\)",
"\\(65 + 52 = 117\\)",
null,
"(65 + 52)",
null,
"\\( (65 \\times 52) - 3263 = 117 \\)",
null,
null,
null,
"65 * 52 + (-3263)",
null,
null
] | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 585, "span_end": 600, "original_span": "65 + 52 = 117"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 607, "span_end": 628, "original_span": "\\( 65 + 52 = 117 \\)"}, {"extra... | [{"is_correct": true, "error": null, "answer_block": "65 + 52 = 117", "final_answer": 117.0}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 65 + 52 = 117 \\)", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(65 * 52 - 3263... | [
[
true
],
[
false
],
[
false
],
[
true
],
[
false
],
[
false
],
[],
[
true
],
[],
[
false
],
[],
[],
[],
[
false
],
[],
[]
] | [
[
"65 + 52 = 117"
],
[
"\\( 65 + 52 = 117 \\)"
],
[
"\\(65 * 52 - 3263 = 117\\)"
],
[
"Step 1: 65 + 52 = 117"
],
[
"\\( 65 + 52 \\)"
],
[
"\\(65 + 52 = 117\\)"
],
[],
[
"(65 + 52)"
],
[],
[
"\\( (65 \\times 52) - 3263 = 117 \\)"
],
[],
[],
[],
... | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 585, "span_text": "65 + 52 = 117", "extraction_type": "internal", "span_start": 585, "span_end": 600, "original_span": "65 + 52 = 117"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 607, "span_text": "\\( 65 + 52 = 117 \\)", "extraction_... | [[{"is_correct": true, "error": null, "answer_block": "65 + 52 = 117", "final_answer": 117.0}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 65 + 52 = 117 \\)", "final_answer": null}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(65 * 52 -... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 3,
"pass_at_n": 1,
"percent_correct": 0.1875,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [3, 87], create an equation that equals 261. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 3*87 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [3, 87], create an equation that equals 261. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5110, \"numbers\": [3, 87], \"target\": 261, \"expression\": \"3*87\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5110, "numbers": [3, 87], "target": 261, "expression": "3*87"} | null | null | null | null | null | null | null | [
"To solve this problem using the given numbers [3, 87], we need to find an equation that equals 261 using these numbers exactly once. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the Target Number**: The target is 261.\n2. **Consider Multiplication and Addition**:\n - We know multip... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
true,
false,
false,
true,
false
] | [
null,
null,
null,
"\\(3 \\times 87\\)",
"\\(87 \\times 3\\)",
"\\( 3 \\times 87 = 261 \\)",
"\\( 261 = 87 - 3 \\)",
"\\( 87 \\times 3 = 261 \\)",
"\\( 87 \\times 3 \\)",
"\\( 87 \\times 3 = 261 \\)",
null,
"(87 * 3) = 261",
"\\( 3 \\times 87 = 261 \\)",
null,
"(87 * 3)",
null
] | [{"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 992, "span_end": 1009, "original_span": "\\(3 \\times 87\\)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_s... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no... | [
[],
[],
[],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[],
[
true
],
[
false
],
[],
[
true
],
[]
] | [
[],
[],
[],
[
"\\(3 \\times 87\\)"
],
[
"\\(87 \\times 3\\)"
],
[
"\\( 3 \\times 87 = 261 \\)"
],
[
"\\( 261 = 87 - 3 \\)"
],
[
"\\( 87 \\times 3 = 261 \\)"
],
[
"\\( 87 \\times 3 \\)"
],
[
"\\( 87 \\times 3 = 261 \\)"
],
[],
[
"(87 * 3) = 261"
]... | [[], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 992, "span_text": "\\(3 \\times 87\\)", "extraction_type": "internal", "span_start": 992, "span_end": 1009, "original_span": "\\(3 \\times 87\\)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 674, "span_text": "\\(87 \\times... | [[], [], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(3 \\times 87\\)", "final_answer": null}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(87 \\times 3\\)", "final_answer": null}], [{"is_correct": false, "error": "Could not evaluate e... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 2,
"pass_at_n": 1,
"percent_correct": 0.125,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [70, 64], create an equation that equals 134. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 64 + 70 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [70, 64], create an equation that equals 134. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5952, \"numbers\": [70, 64], \"target\": 134, \"expression\": \"64 + 70\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5952, "numbers": [70, 64], "target": 134, "expression": "64 + 70"} | null | null | null | null | null | null | null | [
"To solve for 134 using the numbers 70 and 64 with basic arithmetic operations (addition, subtraction, multiplication, division), we need to find a combination that will yield 134 when these numbers are combined appropriately. Here’s how we can do it:\n\n### Step-by-Step Solution\n\n1. **Identify the Numbers**: We ... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
null,
null,
"\\( (70 \\times 64) - 4346 = 134 \\)",
null,
null,
"\\(70 + 64\\)",
"\\( 70 + 64 = 134 \\)",
null,
"\\(70 + 64 = 134\\)",
null,
"\\( (70 + 64) \\times 2 - 134 \\)",
"(131 - 9)",
null,
null,
null,
null
] | [{"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 663, "span_end": 698, "original_span": "\\( (70 \\times 64) - 4346 = 134 \\)"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "fin... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": false, "error": "Could not evaluate expres... | [
[],
[],
[
false
],
[],
[],
[
false
],
[
false
],
[],
[
false
],
[],
[
false
],
[
false
],
[],
[],
[],
[]
] | [
[],
[],
[
"\\( (70 \\times 64) - 4346 = 134 \\)"
],
[],
[],
[
"\\(70 + 64\\)"
],
[
"\\( 70 + 64 = 134 \\)"
],
[],
[
"\\(70 + 64 = 134\\)"
],
[],
[
"\\( (70 + 64) \\times 2 - 134 \\)"
],
[
"(131 - 9)"
],
[],
[],
[],
[]
] | [[], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 663, "span_text": "\\( (70 \\times 64) - 4346 = 134 \\)", "extraction_type": "internal", "span_start": 663, "span_end": 698, "original_span": "\\( (70 \\times 64) - 4346 = 134 \\)"}], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "posi... | [[], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( (70 \\times 64) - 4346 = 134 \\)", "final_answer": null}], [], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(70 + 64\\)", "final_answer": null}], [{"is_correct": false, "error": "Cou... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [7, 90], create an equation that equals 630. You can use basic arithmetic operations (+, -, *, /) and each number can only b... | 90*7 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [7, 90], create an equation that equals 630. You can use basic arithmetic operations (+, -, *, /) a... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6190, \"numbers\": [7, 90], \"target\": 630, \"expression\": \"90*7\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6190, "numbers": [7, 90], "target": 630, "expression": "90*7"} | null | null | null | null | null | null | null | [
"To solve this problem, we need to find a combination of the given numbers [7, 90] using basic arithmetic operations such as addition, subtraction, multiplication, and division to equalize to 630. We will follow these steps:\n\n### Step-by-Step Solution\n\n**Step 1:** Start with the first number, which is 7.\n- Add... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"\\( 7 * 90 = 630 \\)",
null,
null,
null,
"(7 * 90) - 7 = 630",
"\\( (7 \\times 90) \\)",
null,
"\\(7 \\times 90 = 630\\)",
null,
null,
null,
"\\(7 \\times 90 = 630\\)",
null,
"\\( 7 \\times 90 = 630 \\)",
"\\( (90 \\times 90) - 7 \\times 90 - 5 \\times 7 \\)",
null
] | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1355, "span_end": 1375, "original_span": "\\( 7 * 90 = 630 \\)"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlappin... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 7 * 90 = 630 \\)", "final_answer": null}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no_ext... | [
[
false
],
[],
[],
[],
[
false
],
[
false
],
[],
[
false
],
[],
[],
[],
[
false
],
[],
[
false
],
[
false
],
[]
] | [
[
"\\( 7 * 90 = 630 \\)"
],
[],
[],
[],
[
"(7 * 90) - 7 = 630"
],
[
"\\( (7 \\times 90) \\)"
],
[],
[
"\\(7 \\times 90 = 630\\)"
],
[],
[],
[],
[
"\\(7 \\times 90 = 630\\)"
],
[],
[
"\\( 7 \\times 90 = 630 \\)"
],
[
"\\( (90 \\times 90) - 7 \\times... | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 1355, "span_text": "\\( 7 * 90 = 630 \\)", "extraction_type": "internal", "span_start": 1355, "span_end": 1375, "original_span": "\\( 7 * 90 = 630 \\)"}], [], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 2863, "span_text": "(7 * 9... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 7 * 90 = 630 \\)", "final_answer": null}], [], [], [], [{"is_correct": false, "error": "Expression does not equal stated result", "answer_block": "(7 * 90) - 7 = 630", "final_answer": 630.0}], [{"is_correct": false, "error": "Could n... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [19, 44], create an equation that equals 836. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 44*19 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [19, 44], create an equation that equals 836. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5315, \"numbers\": [19, 44], \"target\": 836, \"expression\": \"44*19\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5315, "numbers": [19, 44], "target": 836, "expression": "44*19"} | null | null | null | null | null | null | null | [
"To solve for the equation using the numbers [19, 44] that equals 836 with each number used exactly once:\n\n1. First, we need to find two numbers from the given set (19 and 44) whose sum will help us get close to 836.\n - Let's try adding 19 and 44 together first because their combined value is already very high... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
null,
"\\( 44 \\times 19 = 836 \\)",
null,
null,
null,
"\\(19 * 44 + 19 - 44 = 836\\)",
"\\( 19 \\times 44 = 836 \\)",
"\\( 19 \\times 44 = 836 \\)",
"Step 1: 19\nStep 2: 19 + 44 = 63\nStep 3: 63 * 13 = 819\nStep 4: 819 - 17 = 802\nStep 5: 802 + 34 = 836",
"\\(27.1727\\)",
null,
"\\( (44 \\tim... | [{"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 640, "span_end": 666, "original_span": "\\( 44 \\times 19 = 836 \\)"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "tot... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 44 \\times 19 = 836 \\)", "final_answer": null}, {"evaluation_method": "response_processor", "reason": ... | [
[],
[
false
],
[],
[],
[],
[
false
],
[
false
],
[
false
],
[
false
],
[
false
],
[],
[
false
],
[],
[
false
],
[
false
],
[]
] | [
[],
[
"\\( 44 \\times 19 = 836 \\)"
],
[],
[],
[],
[
"\\(19 * 44 + 19 - 44 = 836\\)"
],
[
"\\( 19 \\times 44 = 836 \\)"
],
[
"\\( 19 \\times 44 = 836 \\)"
],
[
"Step 1: 19\nStep 2: 19 + 44 = 63\nStep 3: 63 * 13 = 819\nStep 4: 819 - 17 = 802\nStep 5: 802 + 34 = 836"
],
... | [[], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 640, "span_text": "\\( 44 \\times 19 = 836 \\)", "extraction_type": "internal", "span_start": 640, "span_end": 666, "original_span": "\\( 44 \\times 19 = 836 \\)"}], [], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1821, "span... | [[], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 44 \\times 19 = 836 \\)", "final_answer": null}], [], [], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(19 * 44 + 19 - 44 = 836\\)", "final_answer": null}], [{"is_correct": false, "error... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [61, 97], create an equation that equals 158. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 61 + 97 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [61, 97], create an equation that equals 158. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6208, \"numbers\": [61, 97], \"target\": 158, \"expression\": \"61 + 97\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6208, "numbers": [61, 97], "target": 158, "expression": "61 + 97"} | null | null | null | null | null | null | null | [
"To solve for the target number 158 using the given numbers [61, 97], we need to find a combination of these numbers through addition, subtraction, multiplication, and division. Here’s how we can achieve this:\n\n### Step-by-Step Solution\n\n1. **Identify Possible Combinations**:\n - We have two numbers: 61 and 9... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
null,
"\\(61 + 97 = 158\\)",
null,
null,
null,
null,
null,
"\\( 61 + 97 \\)",
"\\( 61 + 97 = 158 \\)",
null,
"\\( Step 1: 61 \\times 97 = 5867 \\)\nStep 2: \\( 5867 - 61 = 5806 \\)\nStep 3: \\( 5806 - 5806 = 158 \\)",
null,
null,
null,
null,
"\\( 158 = 97 + 61 \\)"
] | [{"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 944, "span_end": 963, "original_span": "\\(61 + 97 = 158\\)"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extractio... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(61 + 97 = 158\\)", "final_answer": null}, {"evaluation_method": "response_processor", "reason": "no_extr... | [
[],
[
false
],
[],
[],
[],
[],
[],
[
false
],
[
false
],
[],
[
false
],
[],
[],
[],
[],
[
false
]
] | [
[],
[
"\\(61 + 97 = 158\\)"
],
[],
[],
[],
[],
[],
[
"\\( 61 + 97 \\)"
],
[
"\\( 61 + 97 = 158 \\)"
],
[],
[
"\\( Step 1: 61 \\times 97 = 5867 \\)\nStep 2: \\( 5867 - 61 = 5806 \\)\nStep 3: \\( 5806 - 5806 = 158 \\)"
],
[],
[],
[],
[],
[
"\\( 158 = 97 + 61 \... | [[], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 944, "span_text": "\\(61 + 97 = 158\\)", "extraction_type": "internal", "span_start": 944, "span_end": 963, "original_span": "\\(61 + 97 = 158\\)"}], [], [], [], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 529, "span_text": "... | [[], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(61 + 97 = 158\\)", "final_answer": null}], [], [], [], [], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 61 + 97 \\)", "final_answer": null}], [{"is_correct": false, "error": "Could not ... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [79, 92], create an equation that equals 171. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 79 + 92 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [79, 92], create an equation that equals 171. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5879, \"numbers\": [79, 92], \"target\": 171, \"expression\": \"79 + 92\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 5879, "numbers": [79, 92], "target": 171, "expression": "79 + 92"} | null | null | null | null | null | null | null | [
"To solve for 171 using the numbers 79 and 92 with each number being used exactly once, we need to follow these steps:\n\n### Step 1: Find a way to combine the two numbers to get close to 171.\nFirst, let's try adding them together:\n\\[ 79 + 92 = 171 \\]\n\nThis works directly without any further operations needed... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
null,
null,
null,
null,
"\\( 79 + 92 \\)",
"No valid equation found using the given numbers [79, 92] with basic arithmetic operations.",
null,
"\\( 79 + 92 \\)",
null,
null,
null,
null,
null,
"Addition Step: \\( 79 + 92 = 171 \\)",
"\\( 171 - 79 - 79 = 7368 / 92 = 79 \\)",
null
] | [{"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 879, "span_end": 894, "original_span": "\\( 79 + 92 \\)"}, {"extraction_type": "final", "total_spans_fou... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no... | [
[],
[],
[],
[],
[
false
],
[
false
],
[],
[
false
],
[],
[],
[],
[],
[],
[
false
],
[
false
],
[]
] | [
[],
[],
[],
[],
[
"\\( 79 + 92 \\)"
],
[
"No valid equation found using the given numbers [79, 92] with basic arithmetic operations."
],
[],
[
"\\( 79 + 92 \\)"
],
[],
[],
[],
[],
[],
[
"Addition Step: \\( 79 + 92 = 171 \\)"
],
[
"\\( 171 - 79 - 79 = 7368 / 92... | [[], [], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 879, "span_text": "\\( 79 + 92 \\)", "extraction_type": "internal", "span_start": 879, "span_end": 894, "original_span": "\\( 79 + 92 \\)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 2155, "span_text": "No valid equati... | [[], [], [], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 79 + 92 \\)", "final_answer": null}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "No valid equation found using the given numbers [79, 92] with basic arithmetic operations.", "fin... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [14, 21], create an equation that equals 294. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 14*21 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [14, 21], create an equation that equals 294. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6576, \"numbers\": [14, 21], \"target\": 294, \"expression\": \"14*21\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6576, "numbers": [14, 21], "target": 294, "expression": "14*21"} | null | null | null | null | null | null | null | [
"To solve this problem, we need to use the numbers 14 and 21 exactly once to get the result 294. We will start with the given numbers and apply basic arithmetic operations to reach our goal.\n\nHere's one way to achieve this:\n\n1. **Multiply 14 and 21**:\n \\[\n 14 \\times 21 = 294\n \\]\n\nThis multiplicati... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
true,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
true,
false
] | [
"(14 * 21)",
null,
"\\( 14 \\times 21 = 294 \\)",
null,
null,
null,
null,
null,
null,
null,
null,
null,
null,
null,
"(14 * 21) = 294",
null
] | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 522, "span_end": 533, "original_span": "(14 * 21)"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 879, "span_end": 905, "original_span": "\\( 14... | [{"is_correct": true, "error": null, "answer_block": "(14 * 21)", "final_answer": 294.0}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 14 \\times 21 ... | [
[
true
],
[],
[
false
],
[],
[],
[],
[],
[],
[],
[],
[],
[],
[],
[],
[
true
],
[]
] | [
[
"(14 * 21)"
],
[],
[
"\\( 14 \\times 21 = 294 \\)"
],
[],
[],
[],
[],
[],
[],
[],
[],
[],
[],
[],
[
"(14 * 21) = 294"
],
[]
] | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 522, "span_text": "(14 * 21)", "extraction_type": "internal", "span_start": 522, "span_end": 533, "original_span": "(14 * 21)"}], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 879, "span_text": "\\( 14 \\times 21 = 294 \\)", "extractio... | [[{"is_correct": true, "error": null, "answer_block": "(14 * 21)", "final_answer": 294.0}], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 14 \\times 21 = 294 \\)", "final_answer": null}], [], [], [], [], [], [], [], [], [], [], [], [{"is_correct": true, "error": null, "answer... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 2,
"pass_at_n": 1,
"percent_correct": 0.125,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [43, 62], create an equation that equals 105. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 43 + 62 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [43, 62], create an equation that equals 105. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6119, \"numbers\": [43, 62], \"target\": 105, \"expression\": \"43 + 62\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6119, "numbers": [43, 62], "target": 105, "expression": "43 + 62"} | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 43 and 62, we need to create an equation that equals 105 with these two numbers and basic arithmetic operations. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify the goal**: We want to combine the numbers 43 and 62 into an expression that evaluates... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
null,
null,
"\\( 62 + 43 = 105 \\)",
null,
null,
null,
null,
null,
null,
"\\(105 = 43 + 62 - 62 + 43 - 62 + 62\\)",
"\\( 43 + 62 = 105 \\)",
null,
null,
null,
"\\( 62 + 43 = 105 \\)",
null
] | [{"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1506, "span_end": 1527, "original_span": "\\( 62 + 43 = 105 \\)"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extraction_type": "final"}, {"extra... | [{"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"evaluation_method": "response_processor", "reason": "no_extracted_answer", "extraction_result": "{'extraction_type': 'final'}"}, {"is_correct": false, "error": "Could not evaluate expres... | [
[],
[],
[
false
],
[],
[],
[],
[],
[],
[],
[
false
],
[
false
],
[],
[],
[],
[
false
],
[]
] | [
[],
[],
[
"\\( 62 + 43 = 105 \\)"
],
[],
[],
[],
[],
[],
[],
[
"\\(105 = 43 + 62 - 62 + 43 - 62 + 62\\)"
],
[
"\\( 43 + 62 = 105 \\)"
],
[],
[],
[],
[
"\\( 62 + 43 = 105 \\)"
],
[]
] | [[], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1506, "span_text": "\\( 62 + 43 = 105 \\)", "extraction_type": "internal", "span_start": 1506, "span_end": 1527, "original_span": "\\( 62 + 43 = 105 \\)"}], [], [], [], [], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1768... | [[], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 62 + 43 = 105 \\)", "final_answer": null}], [], [], [], [], [], [], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(105 = 43 + 62 - 62 + 43 - 62 + 62\\)", "final_answer": null}], [{"is_cor... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 0,
"pass_at_n": 0,
"percent_correct": 0,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [69, 96], create an equation that equals 165. You can use basic arithmetic operations (+, -, *, /) and each number can only ... | 69 + 96 | countdown_2arg | countdown | [
{
"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [69, 96], create an equation that equals 165. You can use basic arithmetic operations (+, -, *, /) ... | [] | [] | {"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6251, \"numbers\": [69, 96], \"target\": 165, \"expression\": \"69 + 96\"}"} | test | null | null | null | null | null | null | null | null | null | null | null | null | {"source_dataset": "countdown", "source_index": 6251, "numbers": [69, 96], "target": 165, "expression": "69 + 96"} | null | null | null | null | null | null | null | [
"To solve this problem using the numbers 69 and 96 with the operations available (addition, subtraction, multiplication, division), we need to find a way to combine them to get the target number, which is 165.\n\n### Step-by-Step Reasoning:\n\n1. **Identify the Target Number**: We want to achieve the number 165.\n ... | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
] | {"api_url": "http://127.0.0.1:42649/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 16, "repetition_penalty": 1.1, "temperature": 0.7, "top_k": 20, "top_p": 0.8}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [{"... | {"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 16} | [
false,
false,
false,
false,
false,
true,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | [
"\\(69 + 90 + 6 = 165\\)",
"\\( 96 \\div 4 + 78 + 87 - 24 \\)",
null,
null,
"\\( 96 + (165 - 96) = 165 \\)",
"69 + 96 = 165",
"\\( \\left(\\frac{96}{69}\\right) \\times 69 + 69 = 165 \\)",
null,
null,
null,
"\\( Step 1: 96 - 69 = 27 \\)\n\\( Step 2: 27 + 88 = 115 \\)\n\\( Step 3: 165 - 115 = 50 ... | [{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1719, "span_end": 1742, "original_span": "\\(69 + 90 + 6 = 165\\)"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 1018, "span_end": 1050, "original_span": "\\( 96 \\div 4 + 7... | [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(69 + 90 + 6 = 165\\)", "final_answer": null}, {"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 96 \\div 4 + 78 + 87 - 24 \\)", "final_answer": null}, {"evaluation_method": "response_processor", "reas... | [
[
false
],
[
false
],
[],
[],
[
false
],
[
true
],
[
false
],
[],
[],
[],
[
false
],
[],
[
false
],
[
false
],
[],
[]
] | [
[
"\\(69 + 90 + 6 = 165\\)"
],
[
"\\( 96 \\div 4 + 78 + 87 - 24 \\)"
],
[],
[],
[
"\\( 96 + (165 - 96) = 165 \\)"
],
[
"69 + 96 = 165"
],
[
"\\( \\left(\\frac{96}{69}\\right) \\times 69 + 69 = 165 \\)"
],
[],
[],
[],
[
"\\( Step 1: 96 - 69 = 27 \\)\n\\( Step 2: ... | [[{"pattern_used": "answer tag", "confidence": 1.0, "position": 1719, "span_text": "\\(69 + 90 + 6 = 165\\)", "extraction_type": "internal", "span_start": 1719, "span_end": 1742, "original_span": "\\(69 + 90 + 6 = 165\\)"}], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 1018, "span_text": "\\( 96 \\div... | [[{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\(69 + 90 + 6 = 165\\)", "final_answer": null}], [{"is_correct": false, "error": "Could not evaluate expression", "answer_block": "\\( 96 \\div 4 + 78 + 87 - 24 \\)", "final_answer": null}], [], [], [{"is_correct": false, "error": "Coul... | {
"flips_by": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"flips_total": 0,
"num_correct": 1,
"pass_at_n": 1,
"percent_correct": 0.0625,
"skill_count": {
"answer_revision": [
0,
0,
0,
0,
0,
0,
... | 2025-09-21 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.